Coach Elyson claims that 90% of her volleyball serves are good serves. The captain of the team thinks Coach Elyson has a lower rate of good serves. To test this, 50 of the coach’s serves are randomly selected and 41 of them are good. To determine if these data provide convincing evidence that the proportion of Coach Elyson’s serves that are good is less than 90%, 100 trials of a simulation are conducted. The team captain’s hypotheses are: H0: p = 90% and Ha: p < 90%, where p = the true proportion of Coach Elyson’s serves that are good. Based on the results of the simulation, what is an estimate of the P-value of the test?


A dotplot. A number line labeled simulated sample proportion of good serves goes from 80 to 98 percent. 80, 2; 84, 13; 86, 11; 88, 12; 90, 23; 92, 12; 94, 14; 96, 10; 98, 3.


0%

2%

4%

98%

Answer:

57°

Step-by-step explanation:

180-56=114

114÷2=57

Answer:

57°

Step-by-step explanation:

AO and BO are both the radius of the circle, so they are equal.  Since it makes an iscosoles triangle, angles A and B are equal.

180-66=114

114/2=57

Answer:

f(-6) = 30e+7 or 88.55

Step-by-step explanation:

First you want to plug in the -6 into the function getting you:

-5e(-6)+4+3

You can multiply the -5*-6=30

Then add 4+3 giving you 7

So the final answer is 30e+7

9514 1404 393

Answer:

  1367 people

Step-by-step explanation:

The wording "a rate proportional to the number" indicates the function is exponential. The growth factor is 1200/1000 = 1.2 in 7 days, so the exponential function can be written ...

  i(t) = 1000(1.2^(t/7))

After 12 days, the number infected is modeled as ...

  i(12) = 1000(1.2^(12/7)) ≈ 1367

About 1367 people are infected 12 days after discovery.

Answer: x= -4,-5

Step-by-step explanation:

Answer:

Step-by-step explanation:

I can help

Step 1

factor the left sides of the equation

Then you will get (x+4)(x+5)=0

Step 2

You will have to set the factors equal to 0

x=-4 or x=-5

Hope this helped

Answer:

<1 = 43

<2= 17

<3= 120

<4=60

<5= 60

<6= 60

<7 =17

<8= 120

<9= 43

Step-by-step explanation:

< 4, <5, <6 are all 60

<3 and <4 are a linear pair, so they add to 180. Since <4 is 60, <3 is 180-60= 120

<6 and <8 are a linear pair, so they add to 180. Since <6 is 60, <8 is 180-60= 120

Angles 1 and 9 are congruent

4x+3=9x-47

50=5x

10=x

<1= 4(10)+4= 43

<9-9(10)-47=43

Now you have 2 angles for the triangle A B D- subtract the 2 known from 180

<2= 180-43-120=17

<7= 180-43-120=17

9514 1404 393

Answer:

  b.  255.5 to 499.5

Step-by-step explanation:

The middle 50% is the range between the first and third quartiles. In this group of 9 numbers, the first quartile is the average of numbers 2 and 3 when the numbers are listed from smallest to largest.

  first quartile = (230 +281)/2 = 255.5 . . . . . . matches answer choice B

The third quartile is the average of numbers 7 and 8:

  third quartile = (468 +531)/2 = 499.5 . . . . .  also matches answer choice B

The middle 50% is 255.5 to 499.5.

_____

When I put the numbers in order, I get ...

  198 230 ^ 281 246 376 426 468 ^ 531 540

^ indicates that the quartile here is the average of the adjacent numbers

bold indicates the median (2nd quartile)

Answer:

x≥0

Step-by-step explanation:

the domain is anything above 0

The domain of the graph is [0, 10] or 0 ≤ x ≤ 10 when the annual growth of the python population from the beginning of 2000 to 2010.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Florida Fish and Wildlife is having problems with the growing population of Pythons in the Everglades.

As we can see in the graph the annual growth of the python population from the beginning of 2000 to 2010 is continuously increasing between 0 to 10,

Mathematically,

x ∈ [0, 10] or

0 ≤ x ≤ 10

Thus, the domain of the graph is [0, 10] or 0 ≤ x ≤ 10 when the annual growth of the python population from the beginning of 2000 to 2010.

Learn more about the function here:

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An exponential equation is characterized by an initial value "a" and a rate "b". Because Jerald is investigating a depreciation, the rate "b" will be less than 1.

The exponential equation is [tex]y = 12500(0.86)^x[/tex] and the depreciated amount in 2010 is approximately 2379

I've added the missing data as an attachment.

An exponential equation is represented as:

[tex]y = ab^x[/tex]

Where:

[tex]a \to[/tex] the first term

[tex]b \to[/tex] rate

[tex]x \to[/tex] years after 1999

[tex]y \to[/tex] depreciated value

When [tex]x = 0\ \&\ y=12500[/tex]

The equation [tex]y = ab^x[/tex] is:

[tex]12500 = ab^0[/tex]

[tex]12500 = a*1[/tex]

[tex]12500 = a[/tex]

[tex]a =12500[/tex]

When [tex]x = 1\, \&\ y = 10750[/tex]

The equation [tex]y = ab^x[/tex] is:

[tex]10750 = ab^1[/tex]

[tex]10750 = ab[/tex]

Substitute [tex]a =12500[/tex]

[tex]10750 = 12500 \times b[/tex]

Solve for b

[tex]b =\frac{10750 }{12500}[/tex]

[tex]b =0.86[/tex]

So, the equation is:

[tex]y = ab^x[/tex]

[tex]y = 12500(0.86)^x[/tex]

To calculate the depreciated value in 2010, we first solve for x in 2010

[tex]x = 2010 - 1999[/tex]

[tex]x = 11[/tex]

So, the depreciated value (y) is:

[tex]y = 12500(0.86)^x[/tex]

[tex]y = 12500 \times 0.86^{11}[/tex]

[tex]y = 2379[/tex]

Read more about exponential equation at:

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Answer:It’s D

Step-by-step explanation:

edge

Answer:

16cm

Step-by-step explanation:

The area of a square is calculated by perimeter * perimeter. 256 is made of 16*16

Answer:

you know that the Area of a square is calculated as S^2 or SxS

to find the side length just do square root of 256

wich is 16 cm

multiply by 4 and the perimeter is 16*4= 64

Answer:

radius is 2.5 cm

hope it helps.

Answer:

radius =  2 1/2 cm or 2.5 cm

Step-by-step explanation:

diameter = 5 cm

radius = 5/2 = 2 1/2 cm

Answer:

6 5/8

Step-by-step explanation:

Answer:

it equals 29/8 you can also write it as 3 5/8

Step-by-step explanation:

first you would convert the mixed fraction to 13/4 then add te two fractions. i hope this helps

Answer:

the speed of the swimmer increased as the time went up ,the swimmer speed decreased as the time was up

Step-by-step explanation:

Answer:

It would cost $16.66

Step-by-step explanation:

To find the individual cost of one song you would divide $5.95 by 5 since that's what it costs for 5 songs. Each individual song costs $1.19. So then you multiply $1.19 by the 14 songs and get the answer of $16.66

Answer:

1.98 × 10^10

Step-by-step explanation:

First solve for how many text messages were sent out per one month:

22,000,000 × 900

19,800,000,000

Convert into scientific notation:

1.98 × 10^10

In scientific notation, there can only be one number before the decimal. The rest of the numbers must be after the decimal; hence, why I put the numbers 9 and 8 after the decimal. If the rest of the numbers are zeros, you do not have to add them after the decimal. Instead, starting from right to left, count the number places until you reach your decimal. The number you have counted will be your exponent. I counted nine 0's, one 8, and one 9 which made this exponent 10 as there were 10 decimal placements.

Answer:

1/5

Step-by-step explanation:

5 out of 25 reduces to 1 out of 5

Answer:

7 × x = 315

x = 315 ÷ 7

x = 45

45 is the answer.

Answer:

45

Step-by-step explanation:

315 ÷ 7 = 45

Answer:

a) The mean is 0.05 and the standard deviation is 0.0218.

b)  v. The sampling distribution of p is not approximately normal because n(1 - p) is less than 10.

Step-by-step explanation:

Central Limit Theorem

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex].

If [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], the sampling distribution of the sample proportion p will be approximately normal.

Consider the population consisting of all adult Americans age 65 and older who prefer to watch the news, and suppose that for this population the actual proportion who prefer to watch online is 0.05.

This means that [tex]p = 0.05[/tex]

A random sample of n = 100 people

So [tex]n = 100[/tex]

(a) What are the mean and standard deviation of the sampling distribution of p?

Mean [tex]\mu = p = 0.05[/tex]

Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.05*0.95}{100}} = 0.0218[/tex]

The mean is 0.05 and the standard deviation is 0.0218.

(b) Is the sampling distribution of p approximately normal for random samples of size n 100? Explain.

[tex]np = 100*0.95 = 95 > 10[/tex]

[tex]n(1-p) = 100*0.05 = 5 < 10[/tex]

As n(1-p) < 10, it is not approximately normal, option v.

Answer:

15 square units

Step-by-step explanation:

Answer:

566

Step-by-step explanation:

We need to write the following number in standard form.

500 + 60 + 6

Here, the first no is 500, the second number is 60 and the other number is 6.

It can be done as follows :

500 + 60 = 560

And

560 + 6 = 566

So, the standard form is 566 inc which 6 is at one's place, another 6 at tens place and 5 at hundred places.

Answer:

21134 bacteria

Step-by-step explanation:

The given parametrs can be interpreted as:

[tex]y = 8(2.4)^t[/tex]

Required

Find y when t = 9

Substitute [tex]t = 9[/tex]

So:

[tex]y = 8(2.4)^9[/tex]

[tex]y = 8 * 2.4^9[/tex]

[tex]y = 8 * 2641.81[/tex]

[tex]y = 21134.48[/tex]

[tex]y = 21134[/tex] --- approximated

Hence, there are 21134 bacteria

Answer:

obtuse it is more than 90 so not a right and a straight angles is 180 degrees so it obtuse

Answer:

45 or positive 45

Step-by-step explanation:

Answer: 45

Step-by-step explanation:

Answer:

3,2,1,4

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

Answer:

1/2 x 1/2= 2/4

Step-by-step explanation:

Answer:

Nicoles pattern is correct

Ians pattern is 0,1,3,7,15,

Coordinate pairs

1,0

5,1

17,3

53,7

161,15

Step-by-step explanation:

Pencil and paper

Answer:

Triangle C and D

Is your correct answer

Triangle A have 3 sides equal so it is equilateral triangle

Triangle B have 2 sides equal so it is isosceles triangle

Triangle C have no equal sides so it is scalene triangle

Triangle D have no equal sides so it is scalene triangle

Triangles C and D are scalene triangles.

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle A has three sides each measuring 7 units.

Triangle B has two sides that are equal in length, and the base is longer than the two sides.

Triangle C has no sides of equal length.

Triangle D has sides of length seven, three, and six.

Now, We know that;

A scalene triangle have different sides.

Hence, Triangles C and D are scalene triangles.

Thus, We get;

Triangles C and D are scalene triangles.

Learn more about the triangle visit;

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