Answer:
G: 4,13 (4 lbs costs 13 dollars)
H: 1,3 (1lb costs 3 dollars)
Step-by-step explanation:
first, the horizontal line (the one going left to right) is the x axis.
the vertical line (up and down) is the y axis
look at the x axis first the point G is on the 4th mark
and then look at the y axis, the point G is on the 3rd mark
therefore, the coordinate is: 4,3
*tip: always put the x axis before the y!! a way to remember that is in the alphabet, x comes before y
(I know I already answered this in the comments but I wanted to explain it further, so here you are! )
The G represents that to buy 4 pounds cost $13 and H represents that to buy 1 pound costs $3.
What is a graph?A graph is a diametrical representation of any function between the dependent and independent variables.
The graph is easy to understand the behavior of the graph.
As per the given graph of the number of pounds to cost.
At G (4,13) here 4 is the number of pounds while 13 is the cost.
At H(1,3) here 1 is the number of pounds while 3 is the cost.
Hence "The G represents that to buy 4 pounds cost $13 and H represents that to buy 1 pound costs $3".
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Which is an
appropriate estimate
for the following?
28,457 = 638
A 50
B. 5,000
C. 500
D. 0.5
Answer:
A.50
Step-by-step explanation:
First divide 28,457/63= 44.6034482759
44.6034482759 Round to 50
Hence, the correct Answer is A.50
[3x (4.6÷2)] +14.1 =
Answer:
21
Step-by-step explanation:
PEMDAS : Parenthesis, Exponent, Multiplication/Division, Addition/Subtraction.
First, we want to deal with the parenthesis within the parenthesis.
(4.6/2) = 2.3
Rewrite it into the equation.
[3 * 2.3] + 14.1 = ?
Now, do the work in the parenthesis again.
[6.9] + 14.1 = ?
There isn't anymore parenthesis, exponents, or multiplication/division, so we move onto addition now and add both terms.
6.9 + 14.1 = 21
? = 21
The answer is 21.
unfortunately, the set up of these problems is very confusing for me because they keep altering and changing per problem
Answer:
2292.03
Step-by-step explanation:
Start with the formula for continuously compounded interest.
Then substitute all given values in the formula.
Finally, solve for the only variable remaining.
\( A = Pe^{rt} \)
A = future value = $5000
P = principal (deposited amount) = unknown
r = 6.5% = 0.065
t = time = 12 years
\( 5000 = Pe^{0.065 \times 12} \)
\( 5000 = Pe^{0.78} \)
\(5000 = P \times 2.18147\)
\( P = \dfrac{5000}{2.18147} \)
\( P = 2292.03 \)
Answer: $2292.03
Answer:
P = $2366.91
(maybe try answering without a comma)
Step-by-step explanation:
The formula for continuous compounding is:
A = Pe^(rt)
Where:
A = final amount
P = principal amount (initial deposit)
e = Euler's number (approximately 2.71828)
r = annual interest rate (as a decimal)
t = time (in years)
We are given:
r = 6.5% = 0.065 (annual interest rate)
t = 12 years
A = $5000 (final amount)
So we can rearrange the formula to solve for P:
P = A / e^(rt)
Substituting the values:
P = 5000 / e^(0.065*12)
P = $2366.91 (rounded to the nearest cent)
Therefore, you would need to deposit $2366.91 in an account with a 6.5% interest rate, compounded continuously, to have $5000 in your account 12 years later.
Plsssssssss helpppppppppppp
Answer: It is C
Step-by-step explanation:
The slop for Kitten A is 1/4 or 4
Kitten B has a slop of 2/6 or 3 so the answer is,
C Kitten B/rate of change 4suppose you roll a special 37-sided die. what is the probability that one of the following numbers is rolled? 35, 25, 33, 9, 19
The probability that one of the following numbers is rolled is 0.135.
We are provided a 37 sided dice. Hence, each of the number between 1 to 37 can be rolled. Now, to find the probability of rolling any of these five numbers, we will simply perform the multiplication.
The formula to be used for calculation of probability to roll any one number on the dice -
Probability = number of favourable outcomes ÷ total number of outcomes
Keep the values in formula
Probability = 1/37
Now, for the mentioned five numbers among which any can be rolled, the probability is -
Probability = 5 × (1/37)
Performing multiplication
Probability = 5/37
Performing division
Probability = 0.135
Hence, the probability is 0.135.
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a convex mirror, like the passenger-side rearview mirror on a car, has a focal length of -2.8 m. an object is 5.6 m from the mirror.
The image's distance from the mirror is -1.87, by using the mirror equation.
Note:- Although the question is missing, I believe the issue is asking where the image is located.
To find the solution to the problem, the mirror equation can be used:
Mirror equation = \(\frac{1}{f}+\frac{1}{d_{o} }+\frac{1}{d_{i} }\)
Where,
f = mirror's focal length
\(d_{o}\) = object's distance from the mirror
\(d_{i}\) = image's distance from the mirror
The focal length is assumed to be negative for a convex mirror in our problem.
f = -2.8 m
The object's distance (do) = 5.6m
By using the mirror equation, the image's distance from the mirror can be determined
\(\frac{1}{f}+\frac{1}{d_{o} }+\frac{1}{d_{i} }\)
i.e, \(\frac{1}{d_{i} } = \frac{1}{f} -\frac{1}{d_{o} }\)
= \(-\frac{1}{2.8} -\frac{1}{5.6}\) = \(-\frac{3}{5.6}\)
= - 0.5357
\(d_{i} =\) \(-\frac{5.6}{3}\)
= -1.87 m
The virtual nature of the image is indicated by the negative sign (located behind the mirror)
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Please help. What is the solution to this system of equations using the linear combination method? {5x+y=24x+y=5 (0, 2) begin ordered pair 0 comma 2 end ordered pair. (−3, 17) begin ordered pair negative 3 comma 17 end ordered pair. (1, −8) begin ordered pair 1 comma negative 8 end ordered pair. (−2, 12)
WhAt is 3.242424 as a mixed number
Answer:
3 30303/125000
Step-by-step explanation:
Arrange the following temperatures in ascending order and descending order.
a) 37°C, -15°C, 16°C, -12°C, 0°C, 96°C, -73°C
b) 20°C, -1°C -15°C 0°C, -7°C, 23°C, -36°C.
Answer:
a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C
a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C
b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C
b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C
PLEASE ASAP, DUE TODAY
Randy needs to buy school supplies. He needs a headset that costs $30.00. He also needs notebooks that cost $3.00 each.
Part 1
Complete the table to determine his total cost for a given number of notebooks.
Format your response using 2 decimal places and NO symbols. Example: 25.00
Shape 1 and shape 2 are plotted on a coordinate plane. Which statement about the shapes is true?
A:
Shape 1 and shape 2 are not congruent.
B:
A translation will prove that shape 2 is congruent to shape 1.
C:
A rotation and a translation will prove that shape 2 is congruent to shape 1.
D:
A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1
Answer:
A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1.
Answer:
A reflection, a rotation, and a translation will prove that shape 2 is congruent to shape 1.
Step-by-step explanation:
I need help as soon as possible
I think the equation might be -5+8 ????
idrk
In October of 2019, Gallup asked a random sample of 1,506 Americans which of two approaches to punishing murder they thought was better, the death penalty or life without possibility of parole. For the first time since Gallup began asking the question in 1985, a majority of Americans now say life imprisonment is a better approach for punishing murder than is the death penalty. According to the 2019 Gallup death-penalty poll, 60% percent of Americans asked to choose whether the death penalty or life without possibility of parole "is the better penalty for murder" chose the life-sentencing option. 36% favored the death penalty.
Required:
a. Find a 95% confidence interval for the proportion adults in the US that now believe life imprisonment is a better approach for punishing murder.
b. Interpret your interval above in the context of this problem.
c. Use your interval to find the margin of error associated with this confidence interval.
d. If we increase the level of confidence to 98%, will the interval be wider or narrower?
Answer:
a
The 95% confidence interval is \(0.5753< p <0.62474\)
b
This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval
c
The margin of error is \(E = 0.02474 \)
d
The confidence interval becomes wider
Step-by-step explanation:
From the question we are told that
The sample size is n = 1506
The sample proportion is \(\^ p = 0.60\)
From the question we are told the confidence level is 95% , hence the level of significance is
\(\alpha = (100 - 95 ) \%\)
=> \(\alpha = 0.05\)
Generally from the normal distribution table the critical value of \(\frac{\alpha }{2}\) is
\(Z_{\frac{\alpha }{2} } = 1.96\)
Generally the margin of error is mathematically represented as
\(E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } \)
=> \(E = 1.96 * \sqrt{\frac{0.60 (1- 0.60)}{1506} } \)
=> \(E = 0.02474 \)
Generally 95% confidence interval is mathematically represented as
\(\^ p -E < p < \^ p +E\)
=> \(0.60 - 0.02474 < p <0.60 + 0.02474\)
=> \(0.5753< p <0.62474\)
This 95% confidence interval tell us that there 95% confidence that the true proportion of adults in the US that now believe life imprisonment is a better approach for punishing murder lies within the interval
Generally the level of confidence varies directly with the critical value of \(\frac{\alpha }{2}\) and this in turn varies directly with the margin of error which when sample proportion is constant it determines the width of the confidence interval so when the level of confidence increases the confidence interval becomes wider
-8x+y=6
-8x+3y=-14
How would you solve this using the elimination method? Thanks!
Answer:
x = -1,375
y = -5
Step-by-step explanation:
{-8x + y = 6, / : (-1)
{-8x + 3y = -14;
Multiply the first equation by -1, so that we could eliminate 8x:
+ {8x - y = -6,
{-8x + 3y = -14;
----------------------
4y = - 20 / : 4
y = -5
Now, make x the subject from the first equation (you can do it from the 2nd one instead):
8x = -6 + y / : 8
x = -0,75 + 0,125y
x = -0,75 + 0,125 × (-5) = -0,75 - 0,625 = -1,375
Sketch the graph
y= -x + 4
Answer:
You would need to put points at:
(-4,6)
(-3,5)
(-2,4)
(-1,3)
(0,2)
(1,1)
(2,0)
(3,-1)
(4,-2)
(5,-3)
(6,-4)
The graph will look like the one attached:
Hope this helps!!
- Kay :)
2
Solve for x. Round answer to the nearest tenth.
11
35
to
Answer:
x ≈ 18.3°
Step-by-step explanation:
Reference angle = x
Opposite side = 11
Hypotenuse = 35
Apply SOH:
Sin x = opp/hyp
Sin x = 11/35
\( x = sin^{-1}(\frac{11}{35}) \)
x ≈ 18.3°
HELP ASAP NO LINKS PLEASE HELP
Suppose a baker claims that the average bread height is more than 15cm. Several of this customers do not believe him. To persuade his customers that he is right, the baker decides to do a hypothesis test. He bakes 10 loaves of bread. The mean height of the sample loaves is 17 cm with a sample standard deviation of 1.9 cm. The heights of all bread loaves are assumed to be normally distributed. The baker is now interested in obtaining a 95% confidence interval for the true mean height of his loaves. What is the lower bound to this confidence interval? 2 cm (round to 2 decimal places) What is the upper bound to this confidence interval? cm (round to 2 decimal places) For the following situations, use RStudio to find the appropriate t-critical values that would be needed to construct a confidence interval. Round all critical values to the second decimal place. 1. n = 15, confidence level is 95%, x= 35 and s = 2.7, t-critical value- 2, n = 37, confidence level is 99%, x= 82 and s = 5.9 t-critical value- 2 3, n 1009, confidence level is 90%, x 0.9 and s-0.04 t- critical value = 2 2
The correct answer is Confidence interval lower bound: 32.52 cm,Confidence interval upper bound: 37.48 cm
To calculate the confidence interval for the true mean height of the loaves, we can use the t-distribution. Given that the sample size is small (n = 10) and the population standard deviation is unknown, the t-distribution is appropriate for constructing the confidence interval.
The formula for a confidence interval for the population mean (μ) is:
Confidence Interval = sample mean ± (t-critical value) * (sample standard deviation / sqrt(sample size))
For the first situation:
n = 15
Confidence level is 95% (which corresponds to an alpha level of 0.05)
x = 35 (sample mean)
s = 2.7 (sample standard deviation)
Using RStudio or a t-table, we can find the t-critical value. The degrees of freedom for this scenario is (n - 1) = (15 - 1) = 14.
The t-critical value at a 95% confidence level with 14 degrees of freedom is approximately 2.145.
Plugging the values into the formula:
Confidence Interval = 35 ± (2.145) * (2.7 / sqrt(15))
Calculating the confidence interval:
Lower Bound = 35 - (2.145) * (2.7 / sqrt(15)) ≈ 32.52 (rounded to 2 decimal places)
Upper Bound = 35 + (2.145) * (2.7 / sqrt(15)) ≈ 37.48 (rounded to 2 decimal places)
Therefore, the lower bound of the confidence interval is approximately 32.52 cm, and the upper bound is approximately 37.48 cm.
For the second situation:
n = 37
Confidence level is 99% (which corresponds to an alpha level of 0.01)
x = 82 (sample mean)
s = 5.9 (sample standard deviation)
The degrees of freedom for this scenario is (n - 1) = (37 - 1) = 36.
The t-critical value at a 99% confidence level with 36 degrees of freedom is approximately 2.711.
Plugging the values into the formula:
Confidence Interval = 82 ± (2.711) * (5.9 / sqrt(37))
Calculating the confidence interval:
Lower Bound = 82 - (2.711) * (5.9 / sqrt(37)) ≈ 78.20 (rounded to 2 decimal places)
Upper Bound = 82 + (2.711) * (5.9 / sqrt(37)) ≈ 85.80 (rounded to 2 decimal places)
Therefore, the lower bound of the confidence interval is approximately 78.20 cm, and the upper bound is approximately 85.80 cm.
For the third situation:
n = 1009
Confidence level is 90% (which corresponds to an alpha level of 0.10)
x = 0.9 (sample mean)
s = 0.04 (sample standard deviation)
The degrees of freedom for this scenario is (n - 1) = (1009 - 1) = 1008.
The t-critical value at a 90% confidence level with 1008 degrees of freedom is approximately 1.645.
Plugging the values into the formula:
Confidence Interval = 0.9 ± (1.645) * (0.04 / sqrt(1009))
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I need to know why the medians differ relative to the data set and the best measure of center?
Answer: The median is one of several measures of center that can be used to summarize a dataset. The median is the middle value in a set of data when the data is arranged in order from smallest to largest. The median divides a dataset into two equal parts, with half of the data values being smaller than the median and half being larger.
Step-by-step explanation:
The median is one of several measures of center that can be used to summarize a dataset. The median is the middle value in a set of data when the data is arranged in order from smallest to largest. The median divides a dataset into two equal parts, with half of the data values being smaller than the median and half being larger.
The reason why the median can differ relative to the data set is because it is affected by extreme values, or outliers, in the data. For example, if a dataset has a few very large or very small values, the median can be significantly different from the mean (another measure of center), which is affected by all values in the dataset. In these cases, the median provides a better measure of center because it is less sensitive to outliers.
In general, the median is considered the best measure of center when the data is skewed (not symmetrical) or has outliers. In these cases, the median provides a better representation of the "typical" value in the dataset. However, when the data is symmetrical and does not have outliers, the mean can be a good measure of center because it takes into account all values in the dataset.
In conclusion, the best measure of center depends on the shape and distribution of the data. When the data is skewed or has outliers, the median is the best measure of center, while in symmetrical and non-outlier datasets, the mean can provide a good measure of center.
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Bridget's father is building Champion a new stable,
and he needs to drive a nail through a 4 x 6 board
with an actual thickness of 31¹/2 inches. What length
of nail should he use? (Give your answer in inches and
write it as a mixed number.)
lesson 55)
Answer:
Step-by-step explanation:
4x6 meaning the length is 4 and the width is 6 while as the thickness all around is 31 1/2 inches.
4x6=24
the area is 24 inches
He should use a 24 inch wide nail and the length should be 33/2 so it doesnt unloosen.
Please someone help!!
Find the volume of the rectangular prism after a cube is removed from it. 15 cm 4 cm 4 cm 9 cm 4 cm
Answer:
466 \(cm^{3}\)
Step-by-step explanation:
Ok to solve this problem we need to find the volume of the rectangular prism and subtract the volume of the cube from it.
The volume of the rectangular prism is Length * Width * Height.
L = 15
W = 9
H = 4
15 * 9 * 4 = 530 \(cm^{3}\)
The volume of the cube is \(l^{3}\)
\(l\) = 4
4^3 = 64
530-64 = 466 cm^3
Which of the lines below is a line of symmetry?
How to find the inverse of 3log3(x+3)+1. Its with a base of 3
Let \(f^{-1}(x)\) be the inverse of
\(f(x) = 3 \log_3 (x + 3) + 1\)
Then by definition of inverse function,
\(f\left( f^{-1}(x) \right) = 3 \log_3 \left(f^{-1}(x) + 3\right) + 1 = x\)
Solve for the inverse :
\(3 \log_3 \left(f^{-1}(x) + 3\right) + 1 = x\)
\(3 \log_3 \left(f^{-1}(x) + 3\right) = x - 1\)
\(\log_3 \left(f^{-1}(x) + 3\right) = \dfrac{x - 1}3\)
\(3^{\log_3 \left(f^{-1}(x) + 3\right)} = 3^{\frac{x-1}3}\)
\(f^{-1}(x) + 3 = 3^{\frac{x-1}3}\)
\(f^{-1}(x) = 3^{\frac{x-1}3} - 3\)
Kim reads 6 pages in her book in 9 minutes. If Kim reads 20 pages at the same rate, how long does it take her?
Answer:
sorry
Step-by-step explanation:
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
What is the conjugate?
x - ^2
The conjugate of the number is given as follows:
\(x - \sqrt{2}\)
How to obtain the conjugate of a number?In mathematics, both for real numbers and imaginary numbers, the conjugate of two terms is obtained exchanging the sign between the two terms.
The expression for this problem is given as follows:
\(x + \sqrt{2}\)
For the conjugate, the + sign is exchanged by the - sign, hence the expression is given as follows:
\(x - \sqrt{2}\)
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NEED HELP ASAP PLEASE WORTH MANY POINTS
Jenny had 188 but she is spending 14 per week
Answer:
14×7=98
188-98=90 so she had 90 left
According to the graph, a person has a fever when his or her body temperature is .
ANSWER:
A number line going from 95 to 102. A closed circle is at 100. Everything to the right is shaded.
Dr. Hilton uses the graph to determine if a patient has a fever. The graph shows body temperatures, in degrees Fahrenheit, that indicate a fever.
According to the graph, a person has a fever when his or her body temperature is
✔ at least 100 degrees
.
Question 1-2
What is the value of a³ + b (6 + c), when a = 2, b = 3, and c = 4?
Answer:
\(\huge\boxed{\sf 38}\)
Step-by-step explanation:
Given expression:= a³ + b (6 + c)
Put a = 2, b = 3 and c = 4
= (2)³ + 3 (6 + 4)
= 8 + 3(10)
= 8 + 30
= 38\(\rule[225]{225}{2}\)
Answer:
Step-by-step explanation:
the requied answer is 38.
according to the question the value of a=2,b=3,c=4.
here,
to find the value of a³ + b (6 + c)we have to do it in steps:
step 1: solve the bracket (6+4) =10.
step 2: solve the value of a³ =8.
now put these values ,
=8+3(10)
=38.
Mr. Lai buys 2 1/4 pounds of red apples and 1 3/8 pounds of green apples. How many more pounds of red apples does he buy?
Answer:
Mr. Lai buys 2 1/4 pounds of red apples and 1 3/8 pounds of green apples. How many more pounds of red apples does he buy?