1. If you use a 0.05 level of significance in a (two-tail) hypothesis test, and your Zstat = -0.76, you would accept the null hypothesis (H0).
2. If you use a 0.05 level of significance in a (two-tail) hypothesis test, and your Zstat = 2.21, you would accept the null hypothesis (H0).
3. What is the p-value if, in a two-tail hypothesis test, Zstat = -1.38?.
Answers
1. If you use a 0.05 level of significance in a (two-tail) hypothesis test you will not be able to reject the null hypothesis. 2. You would reject the null hypothesis in a two-tail hypothesis test.
What is p-value in hypothesis?The p-value, under the assumption that the null hypothesis is correct, is the likelihood of receiving a test statistic that is equally extreme or more extreme than the observed value.
In hypothesis testing, we decide whether to accept or reject the null hypothesis by comparing the p-value to the significance level (alpha). We reject the null hypothesis and come to the conclusion that there is support for the alternative hypothesis if the p-value is less than or equal to alpha. If the p-value exceeds alpha, we are unable to reject the null hypothesis and come to the conclusion that the alternative hypothesis is unsupported by sufficient data.
1. If you perform a two-tail hypothesis test with a significance threshold of 0.05 and your Zstat is -0.76, you will not be able to reject the null hypothesis (H0). This is due to the fact that the Zstat value does not fall within the Z-rejection distribution's zone, which corresponds to the 5% level of significance.
2. You would reject the null hypothesis in a two-tail hypothesis test if you used a 0.05 level of significance and your Zstat was 2.21. (H0). This is so because the Zstat value lies in the Z-rejection distribution's zone, which is equivalent to the 5% threshold of significance.
3. We need to find the area under the standard normal distribution curve to the left of -1.38 and to the right of 1.38, then double it, in order to determine the p-value in a two-tail hypothesis test for Zstat = -1.38.
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Related Questions
what do I do her just tell me
Answers
Answer:
last choice
:))))))))))
PLEASE HELP 20 POINTS!
This pattern follows the rule add 2. What is another feature of this pattern?
An image of a pattern. Term one has one dot, term two has three dots, term three has five dots, term four has seven dots.
A. The terms appear even, odd, even, odd.
B. All the terms are even.
C. Two terms are even, then two terms are odd.
D. All the terms are odd.
Answers
Answer:
Option D
Step-by-step explanation:
According to the image description provided:
Term one starts with one dot. One is an odd number.
If you add two to an odd number, the sum would be another odd number. This is what's happening with the pattern.
For example:
\(3+2 =5\)
Three is an odd number. If you add two to it, you would get five, which is another odd number.
Term two has 3 dots, term three has 5 dots, term four has 7 dots.
So, all terms should be odd.
Option D should be the correct answer.
if tanA=12/16,find sin 2A
Answers
First, we need to draw a right triangle to represent the given trigonometric ratio. (Kindly refer to the attached photo for the figure.)
Second, we need to determine the length of the unknown side.
In this case, the unknown side is the hypotenuse. Since the length of the opposite side is 12 and the length of the adjacent side is 16, then the length of the hypotenuse is
\(c = \sqrt{16^{2} + 12^{2}}\)
\(c = 20\)
After this, we need to know the trigonometric identity of sin 2A in order to solve for its value.
We know that,
sin 2A = 2 sin A cos A
Then, we need to determine the values of sin A and cos A.
Based on the figure (attached photo), the values of sin A and cos A are
sin A = opposite side / hypotenuse
sin A = 12/20
sin A = 3/5
cos A = adjacent side / hypotenuse
cos A = 16/20
cos A = 4/5
Finally, we can now solve for the value of sin 2A by substituting the values of sin A and cos A to the trigonometric identity of sin 2A.
Therefore, the the value of sin 2A is
sin 2A = 2 sin A cos A
sin 2A = 2(3/5)(4/5)
sin 2A = 24/25
How do you find compound probability
Answers
Answer:
Compound probability is equal to the probability of the first event multiplied by the probability of the second event.
Step-by-step explanation:
hello please help thanks i’ll give brainliest!
Answers
Answer:
Step-by-step explanation:
Plate tectonics is a scientific theory describing the large-scale motion of the plates making up the Earth's lithosphere since tectonic processes began on Earth between 3.3 and 3.5 billion years ago. The model builds on the concept of continental drift, an idea developed during the first decades of the 20th century.
what’s the answer to this
Answers
Answer:
Step-by-step explanation:
B because did the same exact test
What are the 2 largest desert of East Asia? I WILL GIVE YOU THE BRAIBLIEST!!!!!!!!!!!!!!!!!!!
Answers
Answer:
Gobi Desert and karakum desert
Step-by-step explanation:
How old do you have to be in order to be in a relationship?
no reason at all.....
Answers
Answer:
to me 18
Step-by-step explanation:
coz ur an adult and plus if u fall in love at the age of 2 that would be strange
What is the green dashed line called?
Answers
Answer:
axis of symetry
Step-by-step explanation:
Beast_Building on yt
13.4 x 0.05 x 1.8 =?
Answers
Answer:
1.206
Step-by-step explanation:
13.4 × 0.05 × 1.8
= 67/5 × 5/100 × 9/5
= 603/500
= 1.206
please help!!!!!!!11
Answers
Answer:
a = 6 , b = 5
Step-by-step explanation:
using the rule of radicals
\(\sqrt{a}\) × \(\sqrt{b}\) = \(\sqrt{ab}\)
then
\(\sqrt{180}\)
= \(\sqrt{36(5)}\)
= \(\sqrt{36}\) × \(\sqrt{5}\)
= 6\(\sqrt{5}\)
with a = 6 and b = 5
b= 5
these are the answers hope they are correct
If you conclude that your findings yield a 1 in 100 chance that differences were not due to the hypothesized reason, what is the corresponding p value
Answers
Therefore, a p-value less than 0.05 is considered statistically significant, which means that the observed result is unlikely to have occurred by chance and supports the rejection of the null hypothesis.
If your findings yield a 1 in 100 chance that differences were not due to the hypothesized reason, then the corresponding p-value would be 0.01. The p-value represents the probability of obtaining a result as extreme or more extreme than the observed result, assuming that the null hypothesis is true. In other words, a p-value of 0.01 indicates that there is a 1% chance of observing the data if the null hypothesis (the hypothesized reason) is true. Generally, a p-value less than 0.05 is considered statistically significant, which means that the observed result is unlikely to have occurred by chance and supports the rejection of the null hypothesis.
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Can someone help me please ? This is urgent!!!!
Answers
Effect size indicates whether one variable causes another. the amount of variance in a set of scores. whether an obtained research finding is valid. the strength of the relationship between variables.
Answers
Effect size is a measure of the strength of the relationship between two variables. It does not indicate whether one variable causes another. The amount of variance in a set of scores is measured by the variance.
Whether an obtained research finding is valid is determined by statistical significance. Effect size is a quantitative measure of the magnitude of the experimental effect.
It is a way of quantifying the strength of the relationship between two variables. Effect sizes are typically reported on a standardized scale, such as Cohen's d or r.
Effect size does not indicate whether one variable causes another. Causation can only be inferred from a well-designed experiment that controls for confounding variables.
Effect size can be used to assess the strength of the relationship between two variables, but it cannot be used to determine whether one variable causes another.
The amount of variance in a set of scores is measured by the variance. Variance is a measure of how spread out the scores are in a set.
A high variance indicates that the scores are spread out over a wide range, while a low variance indicates that the scores are clustered together.
Whether an obtained research finding is valid is determined by statistical significance. Statistical significance is a measure of how likely it is that the observed results could have occurred by chance. A statistically significant result means that the observed results are unlikely to have occurred by chance alone.
Effect size, variance, and statistical significance are all important concepts in statistics. Effect size measures the strength of the relationship between two variables,
variance measures the spread of scores in a set, and statistical significance measures the likelihood that the observed results could have occurred by chance.
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A gate is made up of a rectangle and a semicircle, as shown. Find the area of the gate. 6 ft Show your work. K к 8 ft Solution:
Answers
Answer:
73.12 ft²
Step-by-step explanation:
area = (8 x 6) + [(1/2)(3.14)(4²)] = 73.12 ft²
Kinley really loves to drink orange juice in the mornings. She drinks 6 cups of orange juice per week. How many quarts of orange juice does she drink?
Answers
Answer:
0.25 is a quart, therefore, 0.25 times 6 is 1.5, so she drinks 1.5 quarts of orange juice a week.
A constant volume of pizza dough is formed into a cylinder with a relatively small height and large radius. The dough is spun and tossed into the air in such a way that the height of the dough decreases as the radius increases, but it retains its cylindrical shape. At time t=k, the height of the dough is 13 inch, the radius of the dough is 12 inches, and the radius of the dough is increasing at a rate of 2 inches per minute.
(a) At time t=k, at what rate is the area of the circular surface of the dough increasing with respect to time? Show the computations that lead to your answer. Indicate units of measure.
(b) At time t=k, at what rate is the height of the dough decreasing with respect to time? Show the computations that lead to your answer. Indicate units of measure. (The volume V of a cylinder with radius r and height h is given by V=πr2h.)
(c) Write an expression for the rate of change of the height of the dough with respect to the radius of the dough in terms of height h and radius r.
Answers
Answer:
a) \(\frac{dA}{dt} = 48 \pi\frac{in^{2}}{min}\)
b) \( \frac{dh}{dt} = - \frac{13}{3} \frac{in}{min}\)
c) \(\frac{dh}{dt} = - 2\frac{h}{r} \frac {dr}{dt}\)
Step-by-step explanation:
In order to solve this problem, we must first picture a cylinder of height h and radius r (see attached picture).
a) So, in order to find the rate at which the area of the circular surface of the dough is increasing with respect to time, we need to start by using the are formula for a circle:
\(A=\pi r^{2}\)
So, to find the rate of change of the area, we can now take the derivative of this formula with respect to the radius r:
\(dA = \pi(2) r dr\)
and divide both sides into dt so we get:
\(\frac{dA}{dr} = 2\pi r \frac{dr}{dt}\)
and now we can substitute:
\(\frac{dA}{dr} = 2\pi(12in)(2\frac{in}{min})\)
\(\frac{dA}{dt} = 48\pi\frac{in^{2}}{min}\)
b) In order to solve part b, we can start with the formula for the volume:
\(V=\pi r^{2} h\)
and solve the equation for h, so we get:
\(h=\frac{V}{\pi r^{2}}\)
So now we can rewrite the equation so we get:
\(h=\frac{V}{\pi}r^{-2}\)
and now we can take its derivative so we get:
\(dh=\frac{V}{\pi} (-2) r^{-3} dr\)
we can rewrite the derivative so we get:
\(\frac{dh}{dt}=-2\frac{V}{\pi r^{3}}\frac{dr}{dt}\)
we can take the original volume formula and substitute it into our current derivative, so we get:
\(\frac{dh}{dt}= -2\frac{\pi r^{2} h}{\pi r^{3}} \frac{dr}{dt}\)
and simplify:
\(\frac{dh}{dt} =-2\frac{h}{r} \frac{dr}{dt}\)
so now we can go ahead and substitute the values provided by the problem:
\(\frac{dh}{dt} =-2\frac{13in}{12in} (2\frac{in}{min})\)
Which simplifies to:
\( \frac{dh}{dt} = - \frac{13}{3} \frac{in}{min}\)
c)
Part c was explained as part of part b where we got the expression for the rate of change of the height of the dough with respect to the radius of the dough in terms of the height h and the radius r:
\(\frac{dh}{dt} =-2\frac{h}{r} \frac{dr}{dt}\)
The rate of change of the height of the pizza with respect to (w.r.t.) time
can be found given that the volume of the pizza is constant.
(a) The rate of increase of the surface area with time is 4·π in.²/min(b) The rate at which the height of the dough is decreasing is \(\underline{4.\overline 3 \ in./min}\)(c) Rate of change the height of the dough with respect to the radius \(\dfrac{dh}{dr}\), is \(\underline{-2 \cdot \dfrac{h}{r}}\)Reasons:
The height of the dough when t = k is 13 inches
Radius of the dough = 12 inches
Rate at which the radius of the dough is increasing, \(\dfrac{dr}{dt}\) = 2 in.²/min
(a) Required: The rate of increase of the surface area with time
Solution:
The circular surface area, A = π·r²
By chain rule of differentiation, we have;
\(\dfrac{dA}{dt} = \mathbf{\dfrac{dA}{dr} \times \dfrac{dr}{dt}}\)
\(\dfrac{dA}{dt} = \dfrac{d ( \pi \cdot r^2)}{dr} \times \dfrac{dr}{dt} = 2 \cdot \pi \times 2 = 4 \cdot \pi\)
The rate of increase of the surface area with time, \(\mathbf{\dfrac{dA}{dt}}\) = 4·π in.²/min.
(b) Required: The rate of decrease of the height with respect to time
The volume of the pizza is constant, given by; V = π·r² ·h
Therefore;
\(h = \mathbf{ \dfrac{V}{\pi \cdot r^2}}\)
\(\dfrac{dh}{dt} = \dfrac{d \left( \dfrac{V}{\pi \cdot r^2} \right)}{dr} \times \dfrac{dr}{dt} = \dfrac{-2 \cdot V}{\pi \cdot r^3} = \dfrac{-2 \cdot \pi \cdot r^2 \cdot h}{\pi \cdot r^3} \times \dfrac{dr}{dt} = \mathbf{-2 \cdot \dfrac{h}{r} \times \dfrac{dr}{dt}}\)
\(\dfrac{dh}{dt} = -2 \cdot \dfrac{h}{r} \times \dfrac{dr}{dt} = -2 \times \dfrac{13}{12} \times 2 = \dfrac{13}{3} = 4. \overline 3\)
The rate at which the height of the dough is decreasing, \(\mathbf{\dfrac{dh}{dt}}\)= \(\underline{4.\overline 3 \ in./min}\)
(c) Required:]The expression for the rate of change the height of the dough with respect to the radius of the cone.
Solution:
\(\dfrac{dh}{dr} = \dfrac{d \left( \dfrac{V}{\pi \cdot r^2} \right)}{dr} = \dfrac{-2 \cdot V}{\pi \cdot r^3} = \dfrac{-2 \cdot \pi \cdot r^2 \cdot h}{\pi \cdot r^3} = -2 \cdot \dfrac{h}{r}\)
\(\dfrac{dh}{dr} = \mathbf{ -2 \cdot \dfrac{h}{r}}\)
The rate of change the height of the dough w.r.t. the radius is \(\underline{\dfrac{dh}{dr} = -2 \cdot \dfrac{h}{r}}\)
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The answer to this question pleaseeeee
Answers
(6a). The polynomial that represent the volume of empty space left in the cubic box is: (3 - x)[(3 - x) + 9x].
(6b). If the smaller box have x = 1.1 feet, then the volume of left if packing peanuts is equal to 25.669 square feet.
How to calculate for the volume of the empty space of the cubic box(6a). Volume of cubic box = 3ft × 3ft × 3ft = (3ft)³
Volume of smaller cubic box = (xft)³
empty space left in the box = (3ft)³ - (xft)³
empty space left in the box = (3 - x)ft)³
recall that: a³ - b³ = (a - b)[(a - b) + 3ab] so;
(3³ - x³)ft³ = (3 - x)[(3 - x) + 3(3x)]
(3³ - x³)ft³ = (3 - x)[(3 - x) + 9x] ft³
(6b). Given that each side of the smaller cubic box x = 1.1 feet then;
Volume left of packing peanuts = (3 - 1.1)[(3 - 1.1) + 9(1.1)]ft³
Volume left of packing peanuts = 25.669ft³
Therefore, the polynomial that represent the volume of empty space left in the cubic box is: (3 - x)[(3 - x) + 9x]. If the smaller box have x = 1.1 feet, then the volume of left if packing peanuts is equal to 25.669 square feet.
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Write the equation of the line with b = 4 and m = -3/2.
Answers
Answer:
2y = -3x +8Step-by-step explanation:
y=mx + b
substitute the values
y = (-3/2)x + 4
multiply both sides of the equestion by 2
2y = [(-3/2)x + 4]×22y = -3x + 8Refer to the table of sandwich demand. suppose x = 1. then the slope of the market demand curve is __________ when price is on the vertical axis. a. -3.b. -1/3. c. 1/3.
Answers
Based on the information given, we can assume that "x" represents the price of sandwiches, and "demand" refers to the quantity of sandwiches that consumers are willing and able to buy at that particular price. The term "market" refers to the overall demand for sandwiches in the entire market, rather than just one individual consumer.
If x = 1, we can look at the table to see that the quantity demanded is 6 sandwiches. We can use this information to calculate the slope of the market demand curve, which represents the relationship between the price of sandwiches and the quantity demanded by all consumers in the market.
To calculate the slope, we need to find two points on the demand curve. Let's use the points (1,6) and (2,4), since they are the closest to x=1. We can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
slope = (4 - 6) / (2 - 1)
slope = -2
So the slope of the market demand curve when the price is on the vertical axis is -2. However, none of the answer choices given match this result.
The closest answer is (b) -1/3, but this is not correct based on the calculations we just did.
Therefore, the correct answer cannot be determined with the information given.
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Christina goes to the market with $50.00. She buys four papayas at $2.75 each and spends the rest of the money on bananas. Each banana cost $1.18. Write an inequality for the number of bananas she can purchase.
Answers
Answer:33
Step-by-step explanation:
$50.00-(4. $2.75) = $50.00 - $11.00= $39.00
$39.00 / $1.18 =33
Answer:
33
Step-by-step explanation:
$50.00-(4. $2.75) = $50.00 - $11.00= $39.00
$39.00 / $1.18 =33
an invertible sheaf l on x is globally generated if and only if for any point p ∈ x, there is a global section of l not vanishing at p
Answers
an invertible sheaf l on x is globally generated if and only if for any point p ∈ x, there is a global section of l not vanishing at p
This fact leads to the first assumption naturally, but neither it nor the other implication can be proven.
What do you mean by vanishing?Vanishing means to leave or cease existing, especially in an abrupt or unexpected manner.
I be a quasicompact sheaf that can be inverted. X
demonstrate the existence of an epimorphism O ⊕I/X →I
OX⊕I→I if and only if for any point p∈X
p∈X there exists a global section of I
L not vanishing at p
If there is an epimorphism, it is asserted on page 121 of Hartshorne's book O ⊕I/X→I
OX⊕I→I Afterward, a family of global parts exists
{si} i∈I
{si}i∈I of I
I such that Ip is generated by {si,}i∈I
{si,p}i∈I as O
X,p
OX,p-module for every p∈X
This fact leads to the first assumption naturally, but neither it nor the other implication can be proven.
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Does a parabola have an inverse?
Answers
An inverse does not exist for a parabola.
What is a parabola?A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics.
It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves.
An inverse does not exist for a parabola.
One definition of a parabola includes a line and a point (the focus) (the directrix).
The directrix is not the main focus.
The locus of points in that plane that are equally spaced apart from the directrix and the focus is known as the parabola.
A right circular conical surface and a plane parallel to another plane that is tangential to the conical surface intersect to form a parabola, which is also known as a conic section.
Therefore, an inverse does not exist for a parabola.
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You are given n = 8 measurements: 4, 4, 7, 6, 4, 6, 6, 8. (a) Calculate the range. 4 (b) Calculate the sample mean, x. x=5625 (c) Calculate the sample variance, s2, and standard deviation
Answers
(a)The range of the given set of measurements is 4.
(b)The sample mean of the given set of measurements is approximately 5.625.
(c)The sample variance of the given set of measurements is approximately 2.337768, and the sample standard deviation is approximately 1.529.
(a) The range is the difference between the largest and smallest values in the set of measurements. In this case, the largest value is 8 and the smallest value is 4, so the range is 8 - 4 = 4.
To calculate the range, we subtract the smallest value from the largest value. In this case, the largest value is 8 and the smallest value is 4.
Range = Largest value - Smallest value
Range = 8 - 4
Range = 4
The range provides a simple measure of the spread or dispersion of the data. In this case, the range tells us that the values range from the smallest value of 4 to the largest value of 8, with a difference of 4 between them.
(b) The sample mean, denoted as x, is the sum of all the measurements divided by the total number of measurements.
To calculate the sample mean, we add up all the measurements and then divide by the total number of measurements. In this case, we have 8 measurements.
Sum of measurements = 4 + 4 + 7 + 6 + 4 + 6 + 6 + 8 = 45
Sample mean = Sum of measurements / Total number of measurements
Sample mean = 45 / 8
Sample mean ≈ 5.625
The sample mean represents the average value of the measurements and provides a measure of central tendency.
(c) The sample variance, denoted as s^2, measures the variability or dispersion of the data points around the sample mean. It is calculated as the average of the squared differences between each measurement and the sample mean.
To calculate the sample variance, we first calculate the squared difference between each measurement and the sample mean. Then, we average those squared differences.
Squared difference for each measurement:
(4 - 5.625)^2 = 2.890625
(4 - 5.625)^2 = 2.890625
(7 - 5.625)^2 = 1.890625
(6 - 5.625)^2 = 0.140625
(4 - 5.625)^2 = 2.890625
(6 - 5.625)^2 = 0.140625
(6 - 5.625)^2 = 0.140625
(8 - 5.625)^2 = 5.390625
Sum of squared differences = 2.890625 + 2.890625 + 1.890625 + 0.140625 + 2.890625 + 0.140625 + 0.140625 + 5.390625 = 16.364375
Sample variance = Sum of squared differences / (Total number of measurements - 1)
Sample variance = 16.364375 / (8 - 1)
Sample variance ≈ 2.337768
The standard deviation, denoted as s, is the square root of the sample variance.
Sample standard deviation = √(Sample variance)
Sample standard deviation = √(2.337768)
Sample standard deviation ≈ 1.529
These measures provide information about the dispersion or spread of the data points around the sample mean. A higher variance or standard deviation indicates greater variability in the measurements.
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The coach has $400 to spend on the end of season party. She
purchases awards for $80 and decorations for $35. She will use the
remaining money to order pizza. If pizzas cost $12 each, what is the
most pizzas can she buy?
Answers
Explain
80+35+12x = 400
Subtract 80 and 35 from both sides to combine like terms
12x = 285
Divide both sides by 12
X = 23.75
She can buy 23 pizzas at $12 for $276
Plus $80 and $35 for grand total of $391
We collected data from 9th and 10th. 9th grade students were 45% of the responses and 10th grade were the
rest. Of the 9th graders 31% said they did like the school lunches and 42% of the 10th graders said they did like
the school lunches. Find the probability that if we chose a student at random that they would not like the school
lunches.
Answers
Answer is 64.05% probability that if we chose a student at random
To find the probability that a randomly chosen student would not like the school lunches, we need to find the complement of the probability that they do like the school lunches.
The proportion of 9th graders in the sample is 45%, so the proportion of 10th graders is 100% - 45% = 55%.
Of the 9th graders, 31% said they liked the school lunches, so the proportion that did not like them is 100% - 31% = 69%.
Of the 10th graders, 42% said they liked the school lunches, so the proportion that did not like them is 100% - 42% = 58%.
So, the probability that a randomly chosen student would not like the school lunches is:
(0.45 * 0.69) + (0.55 * 0.58) = 0.6405 or 64.05% (rounded to two decimal places).
Therefore, there is a 64.05% probability that if we chose a student at random, they would not like the school lunches.
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pls help asap if you can!!!!!
Answers
Answer:
x = 24
Step-by-step explanation:
if a and b are parallel then
62 and 5x - 2 are same- side interior angles and sum to 180° , that is
5x - 2 + 62 = 180
5x + 60 = 180 ( subtract 60 from both sides )
5x = 120 ( divide both sides by 5 )
x = 24
thus for a to be parallel to b , then x = 24
State the most specific name for each figure.
7)
Answers
The most specific name for the figure is an isosceles trapezoid
How to state the most specific name for the figure.From the question, we have the following parameters that can be used in our computation:
The figure
The properties of the given figure are
A pair of parallel sidesA pair of non- parallel sides pointing towards different directionsUsing the above as a guide, we have the following:
The figure is a trapezoid
Because the nonparallel sides are congruent, then the most specific name for the figure is an isosceles trapezoid
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what is the correct number of significant figures resulting from the following calculation? (2.461×4.215)−5.122
Answers
When the significant figures are being calculated, the last digit of the result is always uncertain. If there are no remaining digits, it is significant. When multiplication or division is performed, the calculation's outcome is limited to the number of significant figures present in the number with the fewest significant figures.
To know how many significant figures are in the following calculation, (2.461 × 4.215) - 5.122, we need to follow the following steps;2.461 × 4.215 = 10.386915 (multiply first)10.386915 - 5.122 = 5.264915 (subtract next)To determine the final number of significant figures in the result, use the number with the least significant figures. So, 5.122 has the least number of significant figures, which is four (4), so the result is limited to four (4) significant figures. Therefore, the number of significant figures is four (4).This calculation has three (3) significant figures that are reliable. The trailing zeros to the right of the decimal place do not provide any additional information. So, the answer is:There are four (4) significant figures resulting from the given calculation.
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find the area of the parallelogram. the figure is not drawn to scale 44 38 35
Answers
The area of the parallelogram with sides measuring 44, 38, and an included angle of 35 degrees is approximately 1,008.77 square units.
To find the area of a parallelogram, we need to know the length of one side and the perpendicular height. However, in this case, we are given the lengths of two adjacent sides (44 and 38) and the measure of the included angle (35 degrees). To find the area, we can use the formula:
Area = side1 * side2 * sin(angle)
Plugging in the values, we have:
Area = 44 * 38 * sin(35 degrees)
To calculate this, we convert the angle from degrees to radians since the trigonometric functions in most programming languages work with radians. Using the conversion formula (radians = degrees * pi / 180), we find that 35 degrees is approximately 0.610865 radians.
Area = 44 * 38 * sin(0.610865)
Using a scientific calculator or a programming language, we can evaluate sin(0.610865) to be approximately 0.5815.
Area = 44 * 38 * 0.5815
≈ 1008.77 square units
Therefore, the area of the parallelogram is approximately 1,008.77 square units.
Learn more about trigonometric here:
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