The diameter of a circle is 20 m. Find the circumference to the nearest tenth.​

Answer:

fiesta size which is 5 times bigger than the normal size, and the fiesta size price is a little less than 3 times the normal price basicly if you bought 5 of those, you would get the same amount which. is a waist of money, therefore the fiesta size bag is a better deal to purchase

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The graph of Camila's data representing temperature on the y-axis and time on the x-axis is as attached

The question is a word problem that involves constructing a table of values and then graph the table values data as below;

Time      Temperature

6:00        56

7:00        59

8:00        62

9:00        65

10:00       66

11:00        67

12:00       68

13:00       69

14:00        70

15:00        70

16:00        70

17:00        70

18:00        70

19:00        67

20:00       64

21:00        61

00:00        60

The graph of Camila's data representing temperature on the y-axis and time on the x-axis is as attached

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Answer: 803.84cm3

Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.

To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.

4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.

Now, we have the area of the circle. 50.24cm squared!

The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,

16cm x 50.24cm squared = 803.84cm cubed.

The volume of the can of soup is 803.84cm cubed.

Answer:

1/1024

Step-by-step explanation:

It can also be written as 1/4^5 and you just have to simplify it.

The quadratic equation is decreasing over the interval (-∞, 1)

A general function is decreasing when, reading from left to right, the function goes downwards.

Particularly, in the case of this quadratic equation that opens upwards, the function will be decreasing until the vertex of the quadratic, which is at the point (1, -5)

Then the interval in which the quadratic function is decreasing is between negative infinity and 1, or we can write that as: (-∞, 1)

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The 99% confidence interval of the population mean is (352.32, 371.68).

To find the 99% confidence interval of the population mean, we need to use the following formula:

CI = x; ± zα/2 * (σ/√n)

where:

x' = sample mean (362)

zα/2 = z-score for 99% confidence level (2.576)

σ = population standard deviation (29.6)

n = sample size (40)

Substituting the values, we get:

CI = 362 ± 2.576 * (29.6/√40)

CI = 362 ± 9.68

This means that if we take many random samples of 40 hours from the population, we can be 99% confident that the true population mean of the number of customers per hour falls between 352.32 and 371.68.

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Complete question is:

A large department store found that it averages 362 customers per hour. Assume that the standard deviation is 29.6 and a random sample of 40 hours was used to determine the average. Find the 99% confidence interval of the population mean.

Answer:

25

Step-by-step explanation:

300/12 = 25

Answer:

\(\displaystyle 64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\approx3.66\)

Step-by-step explanation:

\(\displaystyle \iint_R(3x-y)\,dA\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r\cos\theta-r\sin\theta)\,r\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r^2\cos\theta-r^2\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0r^2(3\cos\theta-\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\frac{64}{3}(3\cos\theta-\sin\theta)\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\biggr(64\cos\theta-\frac{64}{3}\sin\theta\biggr)\,d\theta\)

\(\displaystyle =\biggr(64\sin\theta+\frac{64}{3}\cos\theta\biggr)\biggr|^\frac{\pi}{2}_\frac{\pi}{4}\\\\=\biggr(64\sin\frac{\pi}{2}+\frac{64}{3}\cos\frac{\pi}{2}\biggr)-\biggr(64\sin\frac{\pi}{4}+\frac{64}{3}\cos\frac{\pi}{4}\biggr)\\\\=64-\biggr(64\cdot{\frac{\sqrt{2}}{2}}+\frac{64}{3}\cdot{\frac{\sqrt{2}}{2}}\biggr)\\\\=64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\biggr\\\\\approx3.66\)

Answer:

here,

v-5/6=-7/8

v=-7/8+5/6

v= -1/24

To make lines u and v parallel, the indicated angle must be 108°.

So, if two parallel lines n and m intersect, then all the angles generated in line m must be exactly the same as the angles generated in line n.

According to the second (and previously used) criterion, we must have:

When we solve that, we get:

Therefore, to make lines u and v parallel, the indicated angle must be 108°.

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Answer:

-20

Step-by-step explanation:

Follow the PEDMAS order (from top to bottom):

Parentheses

Exponents

Division and Multiplication

Addition and Subtraction

(-5 × 9 - 1) ÷ 2 + (5)2 - 7

(-45 - 1) ÷ 2 + 10 - 7

-46 ÷ 2 + 10 - 7

-23 + 10 - 7

-13 - 7

-20

Answer:

-20

Step-by-step explanation:

=> \((-5 * 9-1)/2+(5)2-7\)

Expanding parenthesis

=> \((-45-1)/2+10-7\)

=> \(-46/2 + 3\)

=> -23 + 3

=> -20

Answer:

-4/3

Step-by-step explanation:

:P

To find the number of dimes and quarters, you have 17 dimes and 34 quarters in your pocket , when there are 51 coins in your pocket.

To solve this problem, we can set up a system of equations using the given information. Let's use "d" to represent the number of dimes and "q" to represent the number of quarters.

We know that there are 51 coins in total, so we can write the equation: d + q = 51.

We also know that the total value of the coins is $10.20, which can be expressed as 10d + 25q (since dimes are worth 10 cents and quarters are worth 25 cents). So our second equation is: 10d + 25q = 1020.

To solve this system of equations, we can use substitution or elimination. Let's use substitution:

Rearrange the first equation to solve for d: d = 51 - q.

Substitute this expression for d in the second equation: 10(51 - q) + 25q = 1020.

Simplify and solve for q: 510 - 10q + 25q = 1020.

Combine like terms: 15q = 510.

Divide both sides by 15: q = 34.

Now substitute this value back into the first equation to solve for d: d + 34 = 51.

Subtract 34 from both sides: d = 17.

Therefore, you have 17 dimes and 34 quarters.

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Answer:

The sum of their ages is 29, which we can express as the equation:

P + (P - 11) = 29

Simplifying the equation:

2P - 11 = 29

Adding 11 to both sides:

2P = 40

Dividing both sides by 2:

P = 20

Therefore, Pete's age, represented by "P," is 20 years old.

Answer:

The simplest form of 84/96 is 7/8.

Step-by-step explanation:

Thus, 7/8 is the simplified fraction for 84/96 by using the GCD or HCF method. Thus, 7/8 is the simplified fraction for 84/96 by using the prime factorization method.

Answer:

6.67%

Step-by-step explanation:

5 / 75 = 0.066667

(0.066667)(100) = 6.67%

Answer:

We use the rule,

\((a^b)^c = a^{bc}\)

a. (10^7)²

\((10^7)^2 = 10^{(7)(2)} = 10^{14}\)

10^14

b. (10^9)³

\((10^9)^3 = 10^{(9)(3)} = 10^{27}\)

10^27

c. (10^6)³

\(10^{(6)(3)}= 10^{18}\)

10^18

d. (10^2)³

\(10^{(2)(3)} = 10^{6}\)

10^6

e. (10³)²

\(10^{(3)(2)}=10^{6}\)

10^6

f. (10^5)^7

\(10^{(5)(7)} = 10^{35}\)

10^35

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

DE is the shortest side because it's is opposite to the smallest angle (<F)

180 - 60 = 3X +2X + 5,

X = 23

<F = 2*(23) +5 = 51

Answer:

x=\(\frac{1}{2}\) or x= -4

Step-by-step explanation:

The values of x, y, and z of the parallelogram are -19°, -115° and 27°

A parallelogram is a two-dimensional geometrical shape whose sides are parallel to each other. It is a type of polygon having four sides (also called quadrilateral), where the pair of parallel sides are equal in length. The Sum of adjacent angles of a parallelogram is equal to 180 degrees.

for a parallelogram opposite angles are equal

-4x -1 = 75

-4x = 76

x = 76/-4

x = -19°

sum of adjacent angles are supplementary

(-y-10) + 75 = 180

-y + 65 = 180

-y = 180 - 65

-y = 115

y = -115°

Also

4z - 3 + 75 = 180

4z + 72 = 180

4z = 180 - 72

4z = 108

z = 108/4

z = 27°

In conclusion, the values of x = -19, y = -115, z = 27

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Answer:

You can give points by asking a question. Anyone who answers that question will receive the points. You can earn points by answering questions yourself!

Step-by-step explanation:

Hope that helps!

Dummy variables:

Ice Clean Flavor, Gender, Shoe Color, Number on an Athlete's Jersey, Ice Cream Flavor

Quantitative Variables:

Time to run a marathon, Flat-Screen TV, Height, Hours Spent Researching Core, Calories in Desserts

A dummy variable, often known as an indicator variable or simply a dummy, is a variable in regression analysis that accepts the values 0 or 1 to signify the lack or presence of a category effect that would be anticipated to change the outcome. 

Any variable where the data indicate amounts is referred to be a quantitative variable (e.g. height, weight, or age). Any variable where the data represent groupings is referred to as a categorical variable. This comprises categories (like where people placed in a race), rankings (like cereal brands), and binary results (e.g. coin flips).

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The complete question is:

For use in a linear regression model, categorize which of the following variables should be represented as dummy variables and which can be represented as quantitative variables.

ITEMS

CATEGORY

Answer:

x = 16

Step-by-step explanation:

subtract 12 from both sides to isolate the variable and its coefficient

4x = 64

divide both sides by 4 to get x

x = 16

Answer:

x = 16

Step-by-step explanation:

4x+12=76

Step 1: Subtract 12 from both sides.

4x + 12 - 12 = 76 - 12

4x = 64

Step 2: Divide both sides by 4.

\(\frac{4x}{4} = \frac{64}{4}\)

x = 16

Answer:

17.6 miles

Step-by-step explanation:

speed = distance/time

distance = speed * time

We multiply the speed of each one by the time, 1 hour, to find the distance each one walked in 1 hour.

Kiran: 3 mph * 1 h = 3 miles

Clare: 3.4 mph * 1 h = 3.4 miles

The total distance they walked is 3 miles + 3.4 miles = 6.4 miles.

After 1 hour, they are 6.4 miles closer than they were at the beginning of the walk.

24 miles - 6.4 miles = 17.6 miles

Answer: 17.6 miles

The claim that the average of a random sample is the same as the average of the population from which it was taken is False.

The sample mean will, of course, differ from the population means. The sample mean, however, is a fair estimation of the population mean if the sample is a simple random sample.

Thus, neither the sample mean nor the population mean is statistically greater or lower. The sample mean will always have a mean that is identical to the mean of the original non-normal distribution. In other words, the population mean is the same as the sample mean.

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Answer:

56.924

Step-by-step explanation:

Step-by-step explanation:

Change the problem into something you recognize

7% = 7 x 10^-2 = 0.07

Multiply by this decimal

53.20 x 0.07 = a

Then add this to the original

53.20 + a

The following sets of side dimensions could be combined to create a right triangle 6, 8, 13 is √3, √13, 4.

In the triangle, there are three angles: two acute angles and one 90-degree angle. The hypotenuse, perpendicular, and base are the terms used to describe the sides of a right-angled triangle.

The next choice shows the triangle's side length:

The point is,

The hypotenuse square of a right-angled triangle is equal to the sum of its squares on its other two sides, according to Pythagoras' Theorem.

Using Pythagoras' Theorem.

Use the formula:

a² + b² = c²

For 4, 8, 11

4, 8, 11

4² + 8² = 16 + 64 = 80

11² = 121

80 is not equal to 121 it cann ot form a right triangle

For 6, 8, 13

6² + 8² = 36 + 64 = 100

13² = 169

100 is equal to 169 - 69 can form a right triangle

For √3, √5, 8

(√3)² + (√5)² = 3 + 5 = 8

8² = 64

8 is equal to 64 cannot form a right triangle

For √3, √13, 4

(√3)² + (√13)² = 3 + 13 = 16

4² = 16

16 is equal to 16 can form a right triangle

In order to create a right triangle, one may utilise the following set of side measurements √3, √13 and 4 form a triangle.

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Answer:A

Step-by-step explanation:

Answer:

[4000+200x] /x=100 is your answer

Please note that your equation sounds a little unclear. But, I am assuming that your equations in two ways and solving both equations.

\(4x+5y^3=-7\)

\(4x+5y=-37\)

so, I will solve both of them.

Answer:

Please check the explanation.

Step-by-step explanation:

1)

Assuming the equation

\(4x+5y^3=-7\)

substituting x = -4 and y = 2

\(4\left(-4\right)+5\left(2\right)^3=-7\)

\(-16+2^3\cdot \:\:5=-7\)

\(-16+40=-7\)

\(24=-7\)

False!

The sides are not equal!

Since (-4, 2) does not satisfy the equation, therefore (-4, 2) is not a solution of \(4x+5y^3=-7\).

2)

\(4x+5y=-37\)

Assuming the equation

\(4x+5y=-37\)

substituting x = -4 and y = 2

\(4\left(-4\right)+5\left(2\right)=-37\)

\(-16 + 10 = -37\)

\(-6=-37\)

False!

The sides are not equal!

Since (-4, 2) does not satisfy the equation, therefore (-4, 2) is not a solution of \(4x+5y=-37\).