Answer:
slope = - \(\frac{1}{14}\)
Step-by-step explanation:
calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (8, - 4 ) and (x₂, y₂ ) = (- 6, - 3 )
m = \(\frac{-3-(-4)}{-6-8}\) = \(\frac{-3+4}{-14}\) = \(\frac{1}{-14}\) = - \(\frac{1}{14}\)
Which is a diagonal through the interior of the cube?
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A D
Side B G
Side C E
Side D F
Answer:
BG
Step-by-step explanation:
because the others are just diagnols through a particular side, not through the center of the cube.
4/3 x 23/4 the numbers are fractions btw
Answer:
7 and 2/3
Step-by-step explanation:
43×234=?
For fraction multiplication, multiply the numerators and then multiply the denominators to get
4×233×4=9212
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 92 and 12 using
GCF(92,12) = 4
92÷412÷4=233
The fraction
233
is the same as
23÷3
Convert to a mixed number using
long division for 23 ÷ 3 = 7R2, so
233=723
Therefore:
43×234=723
Hope this helps! Pls mark brainliest
The solution of the given fraction is, \(\frac{23}{3}\)Multiplication operation is employed in a given fraction.
What is the definition of a fraction number?A fraction number is a number that represents a portion of a larger number, where the larger number might be any integer. It has two parts: a numerator and a denominator.
The given expression is calculated as;
\(\rightarrow \frac{4}{3} \times \frac{23}{4} \\\\ \rightarrow \frac{23}{3}\)
Hence.,the solution of the given fraction is, \(\frac{23}{3}\)
To learn more about fraction,refer
https://brainly.com/question/10354322
#SPJ2
A sociologist finds that for a certain segment of the population, the number of years of formal education have a mean of 13.2 years and a standard deviation of 2.96 years.if 35 people are randomly selected from this group, find the probability that their mean years of education is at least 12 years.
To find the probability that the mean years of education for a sample of 35 people is at least 12 years, we need to use the Central Limit Theorem (CLT) and the properties of the normal distribution.
Given:
- Mean (μ) of the population = 13.2 years
- Standard deviation (σ) of the population = 2.96 years
- Sample size (n) = 35
Using the CLT, we know that for a sufficiently large sample size (n ≥ 30), the sampling distribution of the sample mean approaches a normal distribution, regardless of the shape of the population distribution.
To calculate the probability, we need to standardize the sample mean using the z-score formula and then find the corresponding area under the standard normal curve.
Step 1: Calculate the standard error of the mean (SE):
SE = σ / √n
SE = 2.96 / √35
SE ≈ 0.5013
Step 2: Calculate the z-score for the given mean of 12 years:
z = (x - μ) / SE
z = (12 - 13.2) / 0.5013
z ≈ -2.395
Step 3: Find the area under the standard normal curve for z ≥ -2.395:
P(z ≥ -2.395) can be obtained using a standard normal distribution table or a calculator. The corresponding area is approximately 0.9911.
Therefore, the probability that the mean years of education for a sample of 35 people is at least 12 years is approximately 0.9911, or 99.11%.
To know more about probability refer here
https://brainly.com/question/31828911#
#SPJ11
You finally put the order in for the family shirts! You order 40 shirts and two-
fifths of the shirts are children-sized. How many of the shirts that you ordered
are adult-sized shirts?
There are 24 adult-sized shirts in the Order.
The number of adult-sized shirts in the order, we need to calculate two-fifths of the total number of shirts and subtract it from the total.
Given that the order consists of 40 shirts and two-fifths of the shirts are children-sized, we can calculate the number of children-sized shirts as follows:
Children-sized shirts = (2/5) * 40
= (2/5) * 40
= 16
Since the remaining shirts are adult-sized, we can find the number of adult-sized shirts by subtracting the number of children-sized shirts from the total number of shirts:
Adult-sized shirts = Total shirts - Children-sized shirts
= 40 - 16
= 24
Therefore, there are 24 adult-sized shirts in the order.
For more questions on Order.
https://brainly.com/question/550188
#SPJ8
At Smith Mountain Lake Boat Rentals, it cost $25 per hour to rent a pontoon boat, plus a one-time charge for cleaning. The Bengal family rented a boat from 11 am - 6:30 pm and paid $226.50. If the Jones family rented a boat from 8 am- 1pm, how much did the pay?
Answer: $164
Step-by-step explanation:
25*7=175
175+12.5
226.50-187.50
5*25=125+39
Jones family payed $164
Ron started the day with a score of +12.
He lost 4 points, gained 3 points, and then
lost 15 points. What was his score then?
+ 12 - 4 + 3 - 15
= 12 + 3 - 4 - 15
= 15 - 19
= - 4
Answer:
He has -4 points. if I'm not mistaken
Step-by-step explanation:
12 - 4 + 3 - 15 = -4
I apologize if I am incorrect
why the system of si unit is developed
Step-by-step explanation:
Hi, there!!!!
The main purpose of developing si unit is to have standard unit of measurements and to bring uniformity in whole world in terms of measurements.
I hope it helps you...
A theater group made appearances in two cities. The hotel charge before tax in the second city was $1500 higher than in the first. The tax in the first city was 4% , and the tax in the second city was 3.5% . The total hotel tax paid for the two cities was $408.75. How much was the hotel charge in each city before tax?
Sorry for the delay!
Let x = charge before tax in 1st city, and y = charge before tax in 2nd city
y = $1500 + x
4/100x => tax in first city
3.5/100y => tax in second city
0.04x + 0.035y = $408.75
We have the following system of equations to solve:
\(\begin{bmatrix}y=1500+x\\ 0.04x+0.035y=408.75\end{bmatrix}\\\\\mathrm{Substitute\:}y=1500+x\\\\begin{bmatrix}0.04x+0.035\left(1500+x\right)=408.75\end{bmatrix}\\\begin{bmatrix}0.075x+52.5=408.75\end{bmatrix}\\\\\ x = 4750\\\mathrm{For\:}y=1500+x\\\mathrm{Substitute\:}x=4750:\\\\y=1500+4750 = 6250\)
So the hotel charge before tax in city 1 = $4750, and the hotel charge before tax in city 2 = $6250
Answer:
$4750 and $6250Step-by-step explanation:
Given
Hotel charge in city 1 = xHotel charge in city 2 = yThe equation for the hotel charge:
y = x + 1500Taxes
Tax in the city 1 = 4% = 0.04xTax in the city 2 = 3.5% = 0.035yTotal tax = $408.75The equation for the tax:
0.04x + 0.035y = 408.75Substitute y and solve for x:
0.04x + 0.035(x + 1500) = 408.750.04x + 0.035x + 52.5 = 408.750.075x = 408.75 - 52.50.075x = 356.25x = 356.25/0.075x = 4750Find the value of y:
y = 4750 + 1500y = 6250The hotel charge was:
The first city: $4750The second city: $6250Can someone help me with this please?
Answer:
I think it's would be D
Step-by-step explanation:
1/2 is 50% So you add 19 and 50 to get 69% or 69/100
The length of the base of an isosceles triangle is x. The length of a leg is 2x-3. The perimeter of the triangle is 19. Find x
Step-by-step explanation:
isoceles means that the triangle has 2 equally long legs.
the perimeter is the sum of all sides.
so,
19 = x + (2x - 3)×2 = x + 4x - 6 = 5x - 6
25 = 5x
x = 5
15 points and brainliest any tips on this homework to get my grade from a 60 to a 70 all help is appreciated!!!
Answer:
I don't see anything I could try to help you with.
are complex numbers considered real numbers?
on this assignment, it's asking me to select which expressions simplify to a real number. some of them (which i already selected) simplify to real numbers but some of the others simplify to a complex number like (3 + i)(i - 4) = -13 - i. can -13 - i be considered a real number or no because it's complex?
Answer:yes they are considered real numbers
Step-by-step explanation:
5/9 (d - 12) = 10 A linear equation is shown above. Which of the following values of d is a solution to the equation?
For the given equation, the value of d = 30
How to solve an equation?To solve linear equations, utilize the steps that are provided below. Remove parenthesis from either side of the equation and combine similar phrases to make it simpler. To separate the variable term on one side of the equation, use addition or subtraction. To find the variable, use division or multiplication.
Divide both sides of the equation by the coefficient of variable: d-12 = 10÷ 5/9
Divide a fraction by multiplying its reciprocal: d 9 -12=10 x 9/5
Write as a single fraction: d-12 = (10 x 9) / 5
Calculate the product or quotient: d-12= 90 / 5
Reduce fraction to the lowest term by canceling the greatest common factor: d-12 = 18
Rearrange unknown terms to the left side of the equation: d=18+12
Calculate the sum or difference: d=30
Answer: d=30
To learn more about equations from given link
https://brainly.com/question/25678139
#SPJ9
Answer fast pls
If z = (6,-2) and w = (-4,5), determine
1.5z
If given these coordinates of the complex numbers, z = (6,-2) and w = (-4,5), then finding the coordinates of 1.5z will be equal to (9, -3).
Understanding Component of Complex NumbersComplex Number can be expressed in the form (a + bi), where "a" and "b" are real numbers and "i" is the imaginary unit, defined as √(-1).
The real component represents the real part of the number, while the imaginary component represents the imaginary part.
A complex number z = 3 + 2i, with real component of 3, and the imaginary component of2 can be represented as:
z = (3, 2)
From the question,
Given:
z = (6, -2)
To find 1.5z, we multiply each component of z by 1.5:
1.5z = (1.5 * 6, 1.5 * -2)
= (9, -3)
Learn more about coordinates here:
https://brainly.com/question/5564133
#SPJ1
Factor completely 5b^2-11b+6
Answer:
(b - 1) (5b - 6)
Step-by-step explanation:
Doug is buying a computer monitor that is 15 inches tall and has a distance of 39 inches between
opposite corners. What is the width of Doug's new monitor?
what is 7/9 divided by 6/8
Answer: \(\frac{28}{27}\) or \(1\frac{1}{27}\)
Step-by-step explanation:
\(\frac{7}{9} /\frac{6}{8} = \frac{7}{9}(\frac{8}{6})\)
\(\frac{7}{9} (\frac{8}{6} ) = \frac{28}{27}\)
\(\frac{28}{27} = 1 \frac{1}{27}\)
Your dad agrees to pay you for mowing the front and back lawn. He will pay you $0.01 a square foot. The front lawn is 62 feet long and 38 feet wide. You need at least $20.00 to buy a video game. How much will you earn for mowing the lawn? Did you make enough money?
The amount earned exceeds the cost of the video game ($20.00), you have earned enough money to buy the game.
To calculate the amount you will earn for mowing the lawn, we need to find the total area of both the front and back lawn and then multiply it by the payment rate of $0.01 per square foot.
Given information:
Front lawn length = 62 feet
Front lawn width = 38 feet
Payment rate = $0.01 per square foot
Cost of video game = $20.00
To find the area of the front lawn, we multiply the length by the width:
Front lawn area = 62 feet * 38 feet = 2356 square feet
Assuming the back lawn has the same dimensions as the front lawn, the total area of both lawns will be:
Total lawn area = 2 * Front lawn area = 2 * 2356 square feet = 4712 square feet
To calculate the amount earned for mowing the lawn, we multiply the total lawn area by the payment rate:
Amount earned = Total lawn area * Payment rate = 4712 square feet * $0.01/square foot = $47.12
The amount earned for mowing the lawn is $47.12.
Since the amount earned exceeds the cost of the video game ($20.00), you have earned enough money to buy the game.
for such more question on area
https://brainly.com/question/15822332
#SPJ8
Cook-Easy steamer has a mean time before failure of 3535 months with a standard deviation of 33 months, and the failure times are normally distributed. What should be the warranty period, in months, so that the manufacturer will not have more than 10% of the steamers returned
To determine the appropriate warranty period for the Cook-Easy steamer, we need to use the concept of reliability engineering. The mean time before failure (MTBF) of 3535 months indicates that, on average, the steamer will operate without failure for 3535 months.
The standard deviation of 33 months tells us how much the actual failure times may deviate from the mean. To calculate the warranty period, we need to determine the failure rate of the steamer. This can be done by dividing 1 by the MTBF, which gives us a failure rate of 0.000282 failures per month.
To ensure that the manufacturer does not have more than 10% of the steamers returned, we need to calculate the proportion of steamers that will fail within the warranty period. This can be done using the normal distribution with a mean of 3535 months and a standard deviation of 33 months. We can use a z-score of 1.28 (corresponding to the 90th percentile) to find the corresponding failure time, which is 3600 months (rounded up).
Therefore, the manufacturer should offer a warranty period of 65 months (rounded up) to ensure that no more than 10% of the steamers are returned. This means that if the steamer fails within the warranty period, the manufacturer will repair or replace it free of charge.
Learn more about steamer here:
https://brainly.com/question/24147771
#SPJ11
Triangle ABC is similar to triangle XYZ.
Solve for t.
What is the bottom row and the 2 bottom ones thx Ill give brainly to the one who is right
mean of 182.5 cm and standard deviation of 10.3. What is the probability that a Dutch male is between 173.5 and 191.5 cm ? Round your answer to three decimal places.
Answer:
The probability that a Dutch male is between 173.5 and 191.5 cm is 0.616
or 61.6%
Step-by-step explanation:
Mean = M = 182.5
Standard Deviation = S = 10.3,
We need to find the z values and then calculate the probabilities,
Probability of being lower than 173.5,
P(X < 173.5),
Finding the z value,
z = (x - M)/S
z = (173.5 - 182.5)/10.3
z = -0.87
Then the corresponding value for the area and hence the probability is,
P(X<173.5) = P(z = -0.87) = 0.1922
P(X < 173.5) = 0.1922
Probability of being lower than 191.5,
P(X<191.5)
Finding the z value,
z =(x-M)/S
z = (191.5 - 182.5)/10.3
z = 0.87
Then the corresponding value for the probability is,
P(X < 191.5) = 0.8078
The probability that a Dutch male is between 173.5 and 191.5 cm is,
P(173.5 < X < 191.5) = P(X < 191.5) - P(X < 173.5)
P(173.5 < X < 191.5) = 0.8078 - 0.1922
P(173.5 < X < 191.5) = 0.6156
To 3 decimal places,
P(173.5 < X < 191.5) = 0.616
P(173.5 < X < 191.5) = 61.6%
Here is a rule to make a sequence. The next term is 4 less than 3 times the previous term. .Starting with the initial term of 10, build a sequence of 5 numbers.
Answer:
So the sequence of the five numbers are;
10,26,74,218,650
Step-by-step explanation:
In this question, we are interested in building a sequence of 5 numbers given the initial term.
Okay, to build this sequence, we will need to look at the rule that guides the building of the new sequence:
The rule is that the next term is 4 less than 3 times the previous term.
Okay, let’s call the next term y, while the previous term is x.
Following what was specified in the question;
y = 3x -4
Recall; the next term(y) is 4 less (-4) than 3 times (3 multiplied by) the previous term (x)
So let’s start with the initial term of 10.
The next term will be;
y = 3(10) -4 = 30-4 = 26
The next term after 26 will be ;
y = 3(26) -4 = 78-4 = 74
The next term after 74 will be;
y = 3(74) -4 = 222-4 = 218
The next term after 218 will be;
y = 3(218) -4 = 650
find the relative frequency for the class with lower class limit 27 relative frequency =?
Ages Number of students
15 - 18 3
19 - 22 3
23 - 26 9
27 - 30 5
31 - 34 8 25 - 38 8
the relative frequency for the class with lower class limit 27 is 14.29%.Hence, option (4) is the correct answer.
Given,Ages Number of students15 - 18 319 - 22 323 - 26 927 - 30 531 - 34 825 - 38 8We need to find the relative frequency for the class with lower class limit 27.ClassIntervalFrequency15-18319-22323-26927-30531-34825-38 From the given data, we have;Lower limit Upper limit Frequency Relative frequency(Percentage)15 18 3 3/35 × 100 = 60/7 ≈ 8.5719 22 3 3/35 × 100 = 60/7 ≈ 8.5723 26 9 9/35 × 100 = 180/7 ≈ 25.7127 30 5 5/35 × 100 = 100/7 ≈ 14.2931 34 8 8/35 × 100 = 160/7 ≈ 22.8635 38 8 8/35 × 100 = 160/7 ≈ 22.86Therefore, the relative frequency for the class with lower class limit 27 is 14.29%.Hence, option (4) is the correct answer.
To know more about relative frequency Visit:
https://brainly.com/question/28342015
#SPJ11
if the length of a rectangle is (x-6) the width is (x-2) and the height (x-1), write a polynomial that is the volume of the rectangle. what if the volume is 60?
Answer: x3+5x2+6x
Hope this helps
A gardener wants to divide a square piece of lawn in half diagonally. What is the length of the diagonal if the side of the square is ? Leave your answer in simplest radical form.Viruses
a. 16√8
b. 2√8
c. 8√8
d. 4
The correct response is c. 8√2 . The length of the diagonal if the side of the square is 8√2.
A polygon's opposed vertices (or corners) are connected by a line segment known as a diagonal. Or to put it another way, a diagonal is a line segment joining two polygonal vertices that are not neighbouring. With the exception of the figure's edges, it connects a polygon's vertices. For instance, a diagonal line or movement runs slopingly from one corner of a square to the other corner. a type of straight line called a diagonal. Straight up, down, or across are not possible on a diagonal line. It is a line that joins the corners of a form at two points. Instead of running straight up or across, a diagonal is formed by a straight line that is positioned at an angle.
Right isosceles triangles with both legs 8 feet long would make up each half.
The hypotenuse that both of those triangles would share is the diagonal.
We must determine the hypotenuse's length, d, in feet.
According to the Pythagorean theorem, the lengths of the legs' squares sum up to the length of the hypotenuse's square, so
\(8^{2} +8^{2} =8\sqrt{2}\)
To know more about diagonal here
https://brainly.com/question/25740584
#SPJ4
A gardener wants to divide a square piece of lawn in half diagonally. What is the length of the diagonal if the side of the square is 8ft? Leave your answer in simplest radical form.
a. 16√8
b. 2√8
c. 8√2
d. 4
Simplify:
-2(x + 4) - x + 6
Answer:
-3x-2
Step-by-step explanation:
Start with the given equation.
-2(x + 4) - x + 6
Distribute 2 throughout the parentheses.
-2x -8 -x +6
Combine like terms.
-3x -2
Answer:
-3x+(-2)
Step-by-step explanation:
hope this is it
4(9-3/4x) +6x simplified
Answer: 3x+36
Step-by-step explanation:
Abbey has $25. She plans on saving $10 a week. Which inequality shows how many weeks, w, she must save to have at least $250?
Answer:
22.5 weeks
Step-by-step explanation:
The radioactive element americium-241 decays at a rate of 0. 1604%. How many years will it take a 20-g mass of americium-241 to decay to 7. 2 g? Round your answer to the nearest year. (Hint: make sure to change your percentage to a decimal. )