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Alex73 [517]
3 years ago
10

One study, based on responses from 1,017 randomly selected teenagers, concluded that 39% of teenagers cite grades as their great

est source of pressure. use a 0.05 significance level to test the claim that fewer than half of all teenagers in the population feel grades are their greatest source of pressure
Mathematics
1 answer:
klasskru [66]3 years ago
3 0

Answer:

The hypothesis formulae will be

H0 : p = 0.5

Ha : p < 0.5

we will reject H0.

Step-by-step explanation:

Number of responses ( n ) = 1017

percentage( p ) = 39% = 0.39

significance level ( ∝ ) = 0.05

P0 = 50% = 0.5

<u>Test the claim that fewer than half of all teenagers feel the pressure </u>

The hypothesis formulae will be

H0 : p = 0.5

Ha : p < 0.5

Perform the test statistic

Test statistic ( Z ) = -6.957

P-value < 0.05   we will reject H0.  

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Anybody know the answer to this question you
MariettaO [177]

Try to divide by each prime number starting with 2. If it is divisible, keep trying the same prime number until it is not divisible. Then move on to the next prime number, 3. Keep dividing until you get 1. All the prime numbers you divided by are the prime factorization.

List of the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29

Start with 85.

85 is not divisible by 2.

Move on to 3.

85 is not divisible by 3.

Move on to 5.

85/5 = 17

17 is a prime number, so now divide 17 by 17.

17/17 = 1

We divided just by 5 and 17.

Answer: The prime factors of 85 are 5 and 17.

4 0
2 years ago
A sphere has a diameter of 12 meters. What is its exact surface area and its exact volume?
Karo-lina-s [1.5K]

Answer:

The exact value of its surface area = 144π m²

The exact value of its volume = 288π m³

Step-by-step explanation:

∵ The diameter of the sphere is 12m

∴ The radius of the sphere = 12 ÷ 2 = 6m

∵ The surface area of the sphere = 4πr²

∴ The surface area = 4 × π × 6² = 144π m²

∵ The volume of the sphere = 4/3 πr³

∴ The volume = \frac{4}{3}\pi (6)^{3} = 288π m³

6 0
3 years ago
Which statement about the graphs of functions g(x)<br> (x - 1)2 and f(x) = x2 is true?
katrin2010 [14]

Answer:What is the axis of symmetry and vertex for the function f(x) = 3(x - 2)2 + 4? ... Which best describes the transformation from the graph of f(x) = x2 to the graph of ... The graph of the function is 1 unit up and 2 units to the left from the graph of y = x2. ... Which statement about the function is true?

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
what positive number satisfies the condition that twice the number minus three times the reciprocal of the number is equal to 1?
marshall27 [118]
Solve:

"<span>twice the number minus three times the reciprocal of the number is equal to 1."
                                                     3(1)
Let the number be n.  Then 2n - ------- = 1
                                                       n

Mult all 3 terms by n to elim. the fractions:

2n^2 - 3 = n.  Rearranging this, we get 2n^2 - n - 3 = 0.

We need to find the roots (zeros or solutions) of this quadratic equation.

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disc. = (-1)^2 - 4(2)(-3) = 1 + 24 = 25.

That's good, because 25 is a perfect square.
                -(-1) plus or minus 5         1 plus or minus 5
Then x = ------------------------------ = --------------------------
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x could be 6/4 = 3/2, or -5/4.

You must check both answers in the original equation.  If the equation is true for one or the other or for both, then you have found one or more solutions.</span>
8 0
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