A veteran math teacher at a large high school claims that 93% of their students pass the state’s final exam. A random sample of 120 of the teacher’s students was chosen, and 108 passed the state’s final exam. Let p hat = the proportion of the random sample who passed the state’s final exam.

The probability that 90% or fewer of this teacher’s students passed the state’s final exam is 0.096. Does this result provide convincing evidence against the teacher’s claim?

Yes, it is expected that at least 90 of the students will pass the state’s final exam.
Yes, the probability of seeing the sample result is so far from what is expected that the probability of it occurring by chance alone is very unlikely.
No, there is a very small chance of seeing the sample result. It is unlikely to occur by chance alone.
No, the difference between the sample result and what is expected is not extreme enough. The probability of it occurring by chance alone is not unlikely.

Answer:

axis of symetry

Step-by-step explanation:

Beast_Building on yt

Answer:

Yes you could afford it

Step-by-step explanation:

Answer

yes.

Step-by-step explanation:

45% of the 500 dollar price comes down to $225, and with your $300, you can afford it.

Answer:

x = 40

Step-by-step explanation:

a²+b²=c²

x²+9²=(x+1)²

x²+81=x²+2x+1

81=x²-x²+2x+1

81=2x+1

81-1=2x

80=2x

x=40

Answer:

a(n) = 4*(2)^(n - 1)

Step-by-step explanation:

The correct version of this formula is a(n) = a(1)*r^(n - 1).  Must use the " ^ " symbol to indicate exponentiation, and enclose the "n - 1" inside parentheses.

Here, if 4, 8, 16, 32, ..., then a(1) = 4 and r = 2 (e. g., 16/8 = 2, 32/2 = 16, and so on).

Then the correct formula for this geometric sequence is

a(n) = 4*(2)^(n - 1), where use of the parentheses as indicated is mandatory.

Answer:

a(n) = 4*(2)^(n - 1)

Step-by-step explanation:

The correct version of this formula is a(n) = a(1)*r^(n - 1).  Must use the " ^ " symbol to indicate exponentiation, and enclose the "n - 1" inside parentheses.

Here, if 4, 8, 16, 32, ..., then a(1) = 4 and r = 2 (e. g., 16/8 = 2, 32/2 = 16, and so on).

Then the correct formula for this geometric sequence is

a(n) = 4*(2)^(n - 1), where use of the parentheses as indicated is mandatory.

Answer:

56x+12y-10.6

Step-by-step explanation:

The multiple choice answer is B.

Answer:

Step-by-step explanation:

2(14y-3y+28x+12.2-5y-17.5) = 2(14y - 3y - 5y + 28x  + 12.2 - 17.5)

                                           = 2( 6y  + 28x - 5.3)

                                            = 2*6y + 28x* 2  - 5.3*2

                                           = 12y + 56x - 10.6

Answer:

4*3=12

12*4=

3*3=9

9*2=18

18+48=66

Step-by-step explanation:

Answer:

98 degrees

Step-by-step explanation:

278-82 over 2

196 divided by 2

This will lead to 98, therefor the angle is 98 degrees

Answer:

2

Step-by-step explanation:

Let the two consecutive integers be x , x+1

Sum : x + x +1 = 2x + 1

Difference: (x +1) - 1 = x + 1 - 1 = x

Sum = 3 times their difference

2x + 1 = 3 * x

2x + 1 = 3x    

      1 = 3x - 2x

     1 = x

The numbers are 1 , 2

Answer:

2,359,000,000

Step-by-step explanation:

Answer:

2,359,000,000 would be the standard form

Step-by-step explanation:

Answer:

1. A

2. D

3. B

4. B

5-6. B

7. D

8. D

/frac{10 }{ \sqrt{149} } = \frac{10}{12.20} = 0.8192

first of all find the square root of 149 and 10 is divided by 12.20which is the square root of 149 and you get your answer.The fraction form is 512/625

Answer:

Step-by-step explanation:

[tex]\sqrt{149}\text{ is irrational. Though it is customary to rationalize the denominator.}\\ \\ \left(\frac{10}{\sqrt{149}}\right)\frac{\sqrt{149}}{\sqrt{149}}\\ \\ \frac{10\sqrt{149}}{149}[/tex]

Answer:

Domain {-2, 0, 1, 6}

Range {13, 5, 7, 77}

Step-by-step explanation:

table of values

Domain {-2, 0, 1, 6}

Range {13, 5, 7, 77}

Answer:

Step-by-step explanation:

[tex]y_{1}[/tex] = 2( - 2 )² + 5 = 2(4) + 5 = 13

[tex]y_{2}[/tex] = 2( 0 )² + 5 = 5

[tex]y_{3}[/tex] = 2( 1 )² + 5 = 7

[tex]y_{4}[/tex] = 2( 6 )² + 5 = 77

Range: { 5, 7, 13, 77 }

Answer:

x = -8

Step-by-step explanation:

Answer:

4/5 or 1 1/3

Step-by-step explanation:

4 over 5, or 1 and then 1 over 3

Answer:

20% increased

Step-by-step explanation:

Answer:

I think the last one is the answer

Answer:

630

Step-by-step explanation:

Answer=53

Step-by-step explanation:

Answer:

0.62

Step-by-step explanation:

4.99/8=0.62

Answer:

how is your mom doing tell her last night was crazy :D

Step-by-step explanation:

Answer:

82 62 163 and 300 are correct

Step-by-step explanation:

Answer:

Due to;

Sampling variability

Step-by-step explanation:

From the question, we have;

The percentage adults experts believe are convinced that it is more enjoyable to be married than single = 70%

The number of adults in the sample of the survey = 1,501 adults

The number of adults that responded that it is more enjoyable to be married than single = 1,126

According to the central limit theorem, the differences in the two samples and the small sizes of the samples compared to the population, the sample means is different from the population mean, therefore, the sample proportion that respond that it is more enjoyable to be married from the new sample will be different from the old sample due sampling variability because as the sample size is so small compared to the population, some samples can contain more of one category in the population than other samples leading to varying proportion

Answer:

$805,000

I didn't provide a step-by-step explanation, but if I need to just comment onto my answer and I will provide one.

Hope this helps!

Let me know if you have anymore questions. I would be happy to help.

Answer:

d = 4

Step-by-step explanation:

Given f varies inversely as d² then the equation relating them is

f = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation

To find k use the condition when d = 2, f = 6 , then

6 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

24 = k

f = [tex]\frac{24}{d^2}[/tex] ← equation of variation

When f = 1.5 , then

1.5 = [tex]\frac{24}{d^2}[/tex] ( multiply both sides by d² )

1.5d² = 24 ( divide both sides by 1.5 )

d² = 16 ( take the square root of both sides )

d = [tex]\sqrt{16}[/tex] = 4

Answer:

2 and 55/56

Step-by-step explanation:

334/ 112= 2.982142857 or 2 and 55/56

Answer:

3

Step-by-step explanation:

us the formula

y1 - y2 divided by x1 - x2

=gradient

6 - 3 divided by 5 - 4 = gradient

3 = gradient

hope this helps

please mark it brainliest

Answer:

Cut them in smaller shapes then find area

Step-by-step explanation: