Find the area of the circle:

Answer:

use Ma.thway it helps

Step-by-step explanation:

Answer: the answer is 25

Step-by-step explanation:

9514 1404 393

Answer:

  154 in²

Step-by-step explanation:

The area of the cake top is given by the formula for the area of a circle.

  A = πr²

Here, it is convenient to use the approximation π ≈ 22/7, so we have ...

  A = (22/7)(7 in)² = 154 in²

The baker should use 154 square inches of frosting for the top of the cake.

Answer:

66

Step-by-step explanation:

180 - 57-57

Answer:

64 cm³

Step-by-step explanation:

The figure can be decomposed to two rectangular prism, one smaller person on top and one bigger prism beneath.

Volume = volume of smaller rectangular prism + volume of bigger rectangular prism

✔️Volume of smaller rectangular prism = L*W*H

L = 2 cm

W = 2 cm

H = 8 - 4 = 4 cm

V = 2*2*4

V = 16 cm³

✔️Volume of bigger rectangular prism = L*W*H

L = 6 cm

W = 2 cm

H = 4 cm

V = 6*2*4

V = 48 cm³

✔️Volume of the figure = 16 + 48 = 64 cm³

Answer:

p = 10.8

Step-by-step explanation:

Given that p is directly proportional to (p-1)² and p is always positive, then;

q = k (p-1)²

If q = 30 and p = 7

30 = k(7-1)²

30 = 6²k

30 = 36k

5 = 6k

k = 5/6

To get p when q = 80

q =k (p-1)²

80 = 5/6((p-1)²

480 = 5(p-1)²

480/5 = (p-1)²

(p-1)² = 96

p-1 = √96

p-1 = 9.8

p = 9.8 + 1

p = 10.8

B) 6

Ch 10.82

Answer:

$200 is not part of the confidence interval, which means that this is not a reasonable conclusion, at the 100 - 95 = 5% level of significance.

Step-by-step explanation:

95% confidence interval: $72 to $198.

This means that we are 95% sure that the true mean spending is between $72 and $198.

From this confidence interval the assistant concluded that people spend an average of $200 a month on entertainment. Is this a reasonable conclusion and why?

$200 is not part of the confidence interval, which means that this is not a reasonable conclusion, at the 100 - 95 = 5% level of significance.

Answer:

tan 0 = -2.4

sin 0 = 0.42

Step-by-step explanation:

sec 0 = -13/12 => cos 0 = -12/13

cot 0 < 0 => tan 0 < 0

so, the angle is on second quadrant

=> tan 0 = -12/5 = -2.4

=> sin 0 = 5/12 = 0.42

Answer:

Solution given;

Sec θ=-[tex]\frac{13}{12}[/tex]

cotθ< 0,

It lies in second quadrant.

where sin and cosec is positive.

Now

[tex] \frac{1}{cosθ}=-\frac{13}{12}[/tex]

cosθ=[tex]\frac{12}{13}[/tex]

[tex]\frac{b}{h}[/tex]=[tex]\frac{12}{13}[/tex]

b=12

h=13

By using Pythagoras law

p=[tex] \sqrt{13²-12²}=5 [/tex]

Now

exact values of tan θ=[tex]\frac{p}{b}[/tex]=[tex]\frac{5}{12}[/tex]

since it lies in II quadrant

tan θ=-[tex]\frac{5}{12}[/tex]

and

sinθ=[tex]\frac{p}{h}[/tex]=[tex]\frac{5}{13}[/tex]

since it lies in II quadrant

sin θ=[tex]\frac{5}{13}[/tex]

Answer:

14

Step-by-step explanation:

The expression for the polynomial is A = 3x² - 10x + 8

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

A = ( 5x² + 13x - 4 ) - ( 17x² + 7x - 19 ) + ( 5x - 7 ) ( 3x + 1 ) = ax² - bx + c

Let's simplify the left-hand side of the equation using the distributive property and combining like terms:

A = (5x² + 13x - 4) - (17x² + 7x - 19) + (5x - 7)(3x + 1)

A = 5x² + 13x - 4 - 17x² - 7x + 19 + 15x² - 16x - 7

A = 3x² - 10x + 8

Now we have:

a = 3, b = -10, and c = 8

Hence , the final equation is A = 3x² - 10x + 8

To learn more about polynomials click :

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Answer:

Number of cars on road in 2020 = 35,400 car

Step-by-step explanation:

Given;

Number of cars on road = 177,000

Decrease in cars on road in 2020 = 80%

Find:

Number of cars on road in 2020

Computation:

Number of cars on road in 2020 = Number of cars on road[1 - Decrease in cars on road in 2020]

Number of cars on road in 2020 = 177,000[1-80%]

Number of cars on road in 2020 = 177,000[1-0.80]

Number of cars on road in 2020 = 177,000[0.20]

Number of cars on road in 2020 = 35,400 car

Answer: c, is the correct option.

Step-by-step explanation:

The sample mean is the best point estimate for the population mean in a particular study.

Given data of scores: [tex]$\begin{array}{llllllll}27 & 30 & 20 & 29 & 28 & 36 & 34 & 31\end{array}$[/tex]

Sample mean = [tex]\frac{\text{Sum of values}}{\text{Number of values}}[/tex]

[tex]=\frac{27+30+20+29+28+36+34+31}{8}\approx29.38[/tex]

Hence, a point estimate for μ, the mean test score for the population is 29.38

Thus , c. is the correct option.

Answer:

B.) 1/15

Step-by-step explanation:

Answer:

C = 69.12 in.

A = 380.13 in.²

Step-by-step explanation:

Circumference of a circle is the length around the circle.

Circumference, C = 2πr

where,

Radius (r) = 11 in. (Given)

To find the circumference, substitute r = 11 into the circumference formula

C = 2*π*11

Input this into your calculator, you would get:

C = 69.1150384

C = 69.12 in. (Approximated to nearest hundredth)

Area = πr²

Plug in the value of r

A = π*11²

A = 380.132711

A = 380.13 in.² (to nearest hundredth)

9514 1404 393

Answer:

  consistent, independent

Step-by-step explanation:

Systems of equations are most easily classified these ways if the equations are in the same form. If we solve the second equation for y, we have ...

  y = x - 1

The x-coefficients of this and the first equation are different, so the system is consistent and independent.

__

A system is independent if the equations describe different lines.

A system is inconsistent if the equations describe parallel lines.

Here, the different lines are not parallel, so the system is independent and consistent.

Answer:

just use a calculator and add all the numbers-

Step-by-step explanation:

add

Answer:

A)

Step-by-step explanation:

Answer:

Hi there! Subscribe to my animations Y0UTUBE channel! Channel name: Let Me Explain Studios. Have a nice day!

Step-by-step explanation:

Answer: 7 and 5

Step-by-step explanation:

I HOPE THIS HELPS

STAY SAFE!!!

Answer:

7 and 5

Step-by-step explanation:

7+5=12

7-5=2

============================================================

Work Shown:

(150 miles)/(6 gallons) = (325 miles)/(x gallons)

150/6 = 325/x

150*x = 6*325 .... see note below

150x = 1950

x = 1950/150 .... divide both sides by 150

x = 13 gallons is the final answer

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Note: in this step, I cross multiplied. The general template for cross multiplication is that we go from A/B = C/D to A*D = B*C. As the name implies, the "cross" refers to the "X" shape that forms when you multiply the terms.

Answer:

median: 104.5

mean: 102.4

mode: 95

Step-by-step explanation:

Answer:

The Preamble states the six purposes of government to form a more perfect union; establish jusice; insure domestic tranquility;provide for the common defense; promote the general wefare; secure the blessings of liberty now and the future

Answer:

32 I just know it the answer

Answer:

No Trend

Step-by-step explanation:

Scatter plots usually have 1 or 2 outlier points if they're to show a positive or negative trend. There is a kind-of negative trend in the graph, but for me personally, I think the outliers kind of cancel the pattern out since there's way to much other points around it. It can't be constant since constant means that the points have to be in one place, and obviously its not really the case here. Therefore,  you're left with a no-trend graph!

Answer:

12 books read per student

Step-by-step explanation:

1000 divided by 82 is close to 12

Answer:

12 books

Step-by-step explanation:

Since there are 82 students who in total read 1000 books, we need to find how many books each student read. To do that; Divide the number of books read by the number of students who read those books. Then round your answer to the nearest whole number as an estimate. In otherwords, in "tenths place".

Step 1: Divide 1000 by 82

[tex]1000\div 82\\\\= \frac{1000}{82} \\\\= 12.1951219512[/tex]

Now to round up. To round a number to the nearest whole number, you have to look at the first digit after the decimal point. If this digit is less than 5 (1, 2, 3, 4) we don't have to do anything, but if the digit is 5 or greater (5, 6, 7, 8, 9) we must round up. Since the digit after our result is less than 5, we do nothing.

Step 2: Round [tex]12.1951219512[/tex] in the nearest whole number

[tex]12.1951219512 \\= 12[/tex]

Therefore, the average number of books the student read rounded to the nearest whole number is 12 books.

Answer:

This probability is the p-value of Z given [tex]Z = \frac{X - \mu}{\sigma}[/tex], considering X as less than X seconds, [tex]\mu[/tex] as the mean and [tex]\sigma[/tex] as the standard deviation.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean [tex]\mu[/tex], standard deviation [tex]\sigma[/tex].

Find the probability that a randomly selected high school student can run the mile in less than X seconds.

This probability is the p-value of Z given [tex]Z = \frac{X - \mu}{\sigma}[/tex], considering X as less than X seconds, [tex]\mu[/tex] as the mean and [tex]\sigma[/tex] as the standard deviation.

Answer:

B.

Step-by-step explanation:

3/12 reduces to 1/4.

1/2 alone is greater than 1/4, so when 2/10 is added to 1/2, it is certainly greater than 3/12.

Answer: B.

Answer: a. 1

Step-by-step explanation:

Given data: 9, 7, 6, 8, 7, and 5.

Mean absolute deviation: [tex]MAD=\dfrac1n\sum^n_{i=1}|x_i-m|[/tex], where m = mean

mean (m) = [tex]\frac{\text{Sum of values}}{\text{Number of values}}[/tex]

[tex]=\frac{42}{6}\\\\=7[/tex]

Now, [tex]MAD=\dfrac{|9-7|+|7-7|+|6-7|+|8-7|+|7-7|+|5-7|}{6}[/tex]

[tex]MAD=\dfrac{2+0+1+1+0+2}{6}[/tex]

[tex]MAD=\dfrac{6}{6}[/tex]

[tex]MAD=1[/tex]

Hence, the mean absolute deviation=1

Thus correct option is a. 1