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hjlf
2 years ago
9

Find f (3)for f () = 5* - 12. 3 57 113 125

Mathematics
1 answer:
emmainna [20.7K]2 years ago
3 0

Answer:

113

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 5ˣ - 12

f(3) is x = 3

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em>:                    f(3) = 5³ - 12
  2. Exponents:                          f(3) = 125 - 12
  3. Subtract:                              f(3) = 113
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Suppose that, in the past, 40% of all adults favored capital punishment. Do we have reason to believe that the proportion of adu
Alex_Xolod [135]

Answer:

The p-value of the test is 0.1469 > 0.05, which means that there is no reason to believe that the proportion of adults favoring capital punishment today has increased, using a 0.05 level of significance.

Step-by-step explanation:

Suppose that, in the past, 40% of all adults favored capital punishment. Test if the proportion has increased:

At the null hypothesis, we test if the proportion is still of 40%, that is:

H_0: p = 0.4

At the alternative hypothesis, we test if the proportion has increased, that is, is greater than 40%, so:

H_1: p > 0.4

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

0.4 is tested at the null hypothesis:

This means that \mu = 0.4, \sigma = \sqrt{0.4*0.6}

Random sample of 15 adults, 8 favor capital punishment.

This means that n = 15, X = \frac{8}{15} = 0.5333

Value of the test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{0.5333 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{15}}}

z = 1.05

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion of 0.5333 or more, which is 1 subtracted by the p-value of z = 1.05.

Looking at the z-table, z = 1.05 has a p-value of 0.8531.

1 - 0.8531 = 0.1469.

The p-value of the test is 0.1469 > 0.05, which means that there is no reason to believe that the proportion of adults favoring capital punishment today has increased, using a 0.05 level of significance.

3 0
2 years ago
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Answer:

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Step-by-step explanation:

2 + d = 2 - 3 (d - 5) -2

d= -3d+15-2

4d=13

d= 13/4= 3.25

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3 years ago
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Answer:

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<h2>Answer:</h2><h2>The probability that Roy gives randomly an SUV = 15 / 47</h2>

Step-by-step explanation:

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The total number in sample space, n (S) = 47

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Let A be the event that Roy is giving an SUV

Total no of SUV's , n (A) = 15

The probability of giving an SUV, P (A) = n (A) / n (S)

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Answer:

Step-by-step explanation:

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