Write a linear equation representing the information shown in the table.

A) y = –2∕5x – 5

B) y = –5∕2x – 5

C) y = 5∕2x – 5

D) y = 2∕5x – 5

Answer:

81 pi cm^2

or approximately 254.34 cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

A = pi (9)^2

A = 81 pi

Using 3.14 as an approximation for pi

A = 81 (3.14)

A =254.34 cm^2

Answer:

81pi cm^2

Step-by-step explanation:

formula : pi*r^2

pi*9^2

pi*81

Answer:

0% probability that a customer will be exactly 7.50 minutes in the record store.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.  

The probability of finding a value of at lower than x is:

[tex]P(X < x) = \frac{x - a}{b - a}[/tex]

The probability of finding a value between c and d is:

[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]

The probability of finding a value above x is:

[tex]P(X > x) = \frac{b - x}{b - a}[/tex]

The uniform distribution is a continuous distribution, which means that the probability of an exact outcome is zero.

Uniformly distributed between 3 and 12 minutes.

This means that [tex]a = 3, b = 12[/tex]

What is the probability that a customer will be exactly 7.50 minutes in the record store?

Continuous distribution, so:

0% probability that a customer will be exactly 7.50 minutes in the record store.

Answer:

y = 7x - 140

The slope is 7

The y-intersept is -140

= (7, -140)

Step-by-step explanation:

y + 14 = 7(x - 18)

y + 14 = 7x - 126

y =7x - 126 - 14

y = 7x - 140

Answer:

Range { 2,3,4,5}

Step-by-step explanation:

The range is the output values

Range { 2,3,4,5}

Answer: 43.988

Step-by-step explanation: The formula for the circumference of a circle is the diameter multiplied by pi. Since the diameter is 14 and it is telling us to use 3.142 as pi, we can multiply the two and get the answer.

Answer:

39

Step-by-step explanation:

1. (2(4)-5)(2(4)+5)

2.(3)(13)

3.39

Answer:

Step-by-step explanation:

This is a difference of squares question. You should 64 = 25 = 39 Let's see if that happens.

Difference of squares

(2x - y) ( 2x + y) = 4x^2 - y^2

4(4)^2 - (5)^2

64 - 25 = 39

Now do the question exactly as it is written.

(2*4 - -5)(2*4 + -5)

(8 +5)(8 - 5)

3 * 13

39

They really do give the same answer.

Answer:

39

Step-by-step explanation:

5 + 15 + 12 + 7 = 39

Answer:

39

Step-by-step explanation:

5 + 15 = 20, 12 + 7 = 19, 20 + 19 = 39.

Step-by-step explanation:

Count the number of times you have to move the decimal point to the right until it is to the right of the 1st nonzero number.

a) You have to move the decimal point 11 times until it gets to the right of the 1st nonzero number, which is 7. You then rewrite this number as

[tex]7.2×10^{-11}[/tex]

The exponent of 10 is a negative number because you moved the decimal point to the right.

b) Similarly, you have to move the point 9 times to the right so the answer is

[tex]9.5×10^{-9}[/tex]

Answer:

Hence the confidence interval is ( 0.6745, 0.7422).

Step-by-step explanation:

Now the given are  

Sample size = n = 1200  

x = 850  

Sample proportion is  

[tex]\hat{p}=\frac{x}{n}=\frac{850}{1200}=0.7083[/tex]  

We have to construct 99% confidence interval for the population proportion.  

Formula Used:  

[tex](\hat{p}-E , \hat{p}+E)[/tex]  

Here E is a margin of error.  

[tex]E =Zc\times\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]  

Zc = 2.58  

[tex]E =2.58\times\sqrt{\frac{0.7083*(1-0.7083)}{1200}}\\\\E=2.58\times\sqrt{0.000172}=0.0339[/tex]  

So confidence interval is ( 0.7083 - 0.0339 , 0.7083 + 0.0339)

                                            = ( 0.6745 , 0.7422).

Answer:

0.81 = 81% probability that at most 1 watch in the sample is defective.

Step-by-step explanation:

For each watch, there are only two possible outcomes. Either it is defective, or it is not. The probability of a watch being defective is independent of any other watch, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

4% of watches produced at a particular factory are defective.

This means that [tex]p = 0.04[/tex]

20 watches made at this factory are randomly selected

This means that [tex]n = 20[/tex]

What is the probability that at most 1 watch in the same sample is found to be defective?

This is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.04)^{0}.(0.96)^{20} = 0.442[/tex]

[tex]P(X = 1) = C_{20,1}.(0.04)^{1}.(0.96)^{19} = 0.368[/tex]

Then

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.442 + 0.368 = 0.81[/tex]

0.81 = 81% probability that at most 1 watch in the sample is defective.

you have to read the bottom link for the answer key

Answer:

a. The free throw percentage for the Lions is of 62.5%.

b. The free throw percentage for the Eagles was of 37.04%.

c. The field goal percentage for the Lions was of 56.01%.

d. The field goal percentage for the Eagles was of 34.43%.

e. The Lions scored 96 points.

f. The Eagles scored 64 points.

g. Lions

Step-by-step explanation:

a. What is the free throw percentage for the Lions?

10 out of 16, so:

10*100%/16 = 62.5%.

The free throw percentage for the Lions is of 62.5%.

b. What is the free throw percentage for the Eagles?

10 out of 27, so:

10*100%/27 = 37.04%

The free throw percentage for the Eagles was of 37.04%.

c. What is the field goal percentage (two-point and three-point shots combined) for the Lions?

25 + 12 = 37 out of 50 + 16 = 66. So

37*100%/66 = 56.01%.

The field goal percentage for the Lions was of 56.01%.

d. What is the field goal percentage (two-point and three-point shots combined) for the Eagles?

9 + 12 = 21 out of 44 + 17 = 61. So

21*100%/61 = 34.43%

The field goal percentage for the Eagles was of 34.43%.

e. How many points did the Lions score?

10 free throws, 25 two's and 12 three's. So

[tex]10 + 25*2 + 12*3 = 96[/tex]

The Lions scored 96 points.

f. How many points did the Eagles score?

10 free throws, 9 two's and 12 three's. So

[tex]10 + 9*2 + 12*3 = 64[/tex]

The Eagles scored 64 points.

g. Which team won the basketball game?

The Lions scored more points, so they won.

Answer:

avaavavavavav

Step-by-step explanation:

Answer:

14.8%

Step-by-step explanation:

53/100*53/100*53/100

Answer:

SAS

Step-by-step explanation:

AB=DC which is one side

angles ABC and DCB are both right angles so they are equal

BC=BC because they are the same line segment

and since the congruent angles are between the congruent sides, its SAS

Michael = 210 / 3.5 = 60 miles per hour

Jordan = 330/ 6 =55 miles per hour

Jordan drove 5 miles per hour slower than michael

Step-by-step explanation:

you're going to have to set up two expressions since it's an absolute value problem

Answer:

See explanation

Step-by-step explanation:

The question is incomplete, as the function is not given. So, I will make an assumption.

A quadratic function is represented as:

[tex]f(x) = ax^2 + bx + c[/tex]

If [tex]a > 0[/tex], then the function has a minimum x value

E.g. [tex]f(x) = 4x^2 - 5x + 8[/tex] ------ [tex]4 > 0[/tex]

Else, then the function has a maximum x value

E.g. [tex]f(x)= -4x^2 -5x + 8[/tex] ---- [tex]-4 < 0[/tex]

The maximum or minimum x value is calculated using:

[tex]x = -\frac{b}{2a}[/tex]

For instance, the maximum of [tex]f(x)= -4x^2 -5x + 8[/tex] is:

[tex]x = -\frac{-5}{2*-4}[/tex]

[tex]x = -\frac{5}{8}[/tex]

So, the maximum of the function is:

[tex]f(x)= -4x^2 -5x + 8[/tex]

[tex]f(-\frac{5}{8}) = -4 * (-\frac{5}{8})^2 - 5 *(-\frac{5}{8}) +8[/tex]

[tex]f(-\frac{5}{8}) = 9.5625[/tex]

Answer:

60

Step-by-step explanation:

x = 180 - [ 57 + ( 180 - 117 ) ]

= 180 - [ 57 + 63 ]

= 180 - 120

x = 60

Answer:

Pls be specific with your question

Answer:

V =192 m^3

Step-by-step explanation:

The volume of a cuboid is

V = l*w*h  where l is length w is width and h is height

V = 4*6*8

V =192 m^3

9514 1404 393

Answer:

  192 cm²

Step-by-step explanation:

The total surface area is the sum of the two triangular base areas and the three rectangular lateral face areas.

  SA = 2(1/2)(6 cm)(8 cm) + (6 cm +8 cm +10 cm)(6 cm) = 192 cm²

The surface area of the figure is 192 square centimeters.

Answer:

12

Step-by-step explanation:

arrange the numbers in ascending order and cross out from either side till you have a middle line

FINAL ANSWER:

12

Step-by-step explanation:

Median is the middle number in the data set.

so first of ... we need to arrange the group of numbers from lower to greater.

16, 12, 10, 15, 7, 9, 16 ⇒ 7, 9, 10, 12, 15, 16, 16

Now that we have arranged the numbers from least to greatest all we need to do is to find the middle number of the data set (data set? they are the group of numbers)

Ok, so what you want to do here is to just count the numbers until you get to the middle number of the data set...

7, 9, 10, 12, 15, 16, 16

the median in the given data set is 12.

I hope this helps you!!! Let me know if my answer is incorrect or not...

HAVE A GREAT DAY AND GOD BLESS YOU ;)!!!

Answer:

hope it helps you.......

Answer:

The unidentified length is 13

Step-by-step explanation:

To solve this we have to use the Pythagorean Theorem

[tex]a^2+b^2=c^2\\5^2+12^2=c^2\\25+144=c^2\\169=c^2\\13=c[/tex]

Answer:

6x^2-23x+20

Step-by-step explanation:

i think the expanded form of that equation is equal to it.

(3x-4)(2x-5)

3x(2x-5)-4(2x-5)

6x^2-15x-8x+20

6x^2-23x+20

I hope this helps and sorry if it's wrong

Answer:

Step-by-step explanation:

Answer:

230

Step-by-step explanation:

50: 2

9.2: x

therefore x = 50*9.2 /2 = 230

i think

Answer:

B 3360

Step-by-step explanation:

Area of Rectangle = Length X Width

120 X 28

= 3360 cm

Answered by Gauthmath

Given:

The given expression is:

[tex]3.5\times 10^{-2}+2.3\times 10^{-2}[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]3.5\times 10^{-2}+2.3\times 10^{-2}[/tex]

It can be written as:

[tex]=(3.5+2.3)\times 10^{-2}[/tex]

[tex]=5.8\times 10^{-2}[/tex]

Therefore, the simplified form of the given expression is [tex]5.8\times 10^{-2}[/tex].

Answer:

Area of ΔPQR is 28 units²

Step-by-step explanation:

-P is the point with coordinates ( 0, y-intercept for line x-2y+2 =0)

-rearrange the equation in the point-slope form y=mx+b  to find the y coordinate of the point P( 0, b)

x-2y+2 = 0, subtract x and 2 from both sides

-2y = -x-2, divide by -2 both sides

y= (1/2)x +1 so b=1 and P (0, 1)

-Q  is the point with coordinates ( 0, y-intercept for line 3x+y -15 =0)

-rearrange the equation in the point-slope form y=mx+b  to find the y coordinate of the point Q( 0, b)

3x +y -15 =0, subtract 3x and add 15 to both sides

y= -3x +15 so b=15 and Q(0,15)

-R is the intersection of the two lines so is the solution of the system of equations y= (1/2)x +1 and y= -3x +15

(1/2)x +1 =  -3x +15, add 3x and subtract1

(1/2) x+3x = 15-1, combine like terms

(7/2)x = 14 , multiply both sides by 2

7x = 28, divide both sides by 7

x= 4

y= (1/2)x +1 = (4/2) +1 =3 so R(4,3)

- the area of ΔPQR is (base *height)/2

base= 15-1= 14

height = 4

A= (14*4)/2 = 14*2 = 28