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3 years ago

Help with 4 Multiple-choice

Mathematics

2 answers:

kykrilka [37]3 years ago

7 0

Answer:

1. D

2. A

3. C

4. A

Step-by-step explanation:

rusak2 [61]3 years ago

6 0

Answer:

the answers are D, A, C, and A

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3 years ago

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You are trying to determine if you should accept a shipment of eggs for a local grocery store. About 4% of all cartons which are

padilas [110]

Answer:

0.8809

Step-by-step explanation:

Given that:

The population proportion p = 4% = 4/100 = 0.04

Sample mean x = 16

The sample size n = 300

The sample proportion $\hat p =\dfrac{x}{n}$

= 16/300

= 0.0533

∴

$P(\hat p \leq 0.0533) = P\bigg ( \dfrac{\hat p - p}{\sqrt{\dfrac{P(1-P)}{n}}}\leq\dfrac{0.0533 - 0.04}{\sqrt{\dfrac{0.04(1-0.04)}{300}}}\bigg )$

$P(\hat p \leq 0.0533) = P\bigg ( Z\leq\dfrac{0.0133}{\sqrt{\dfrac{0.04(0.96)}{300}}}\bigg )$

$P(\hat p \leq 0.0533) = P\bigg ( Z\leq\dfrac{0.0133}{\sqrt{\dfrac{0.0384}{300}}}\bigg )$

$P(\hat p \leq 0.0533) = P\bigg ( Z\leq\dfrac{0.0133}{\sqrt{1.28 \times 10^{-4}}}\bigg )$

$P(\hat p \leq 0.0533) = P\bigg ( Z\leq\dfrac{0.0133}{0.0113}}\bigg )$

$P(\hat p \leq 0.0533) = P\bigg ( Z\leq1.18}\bigg )$

From the z tables;

= 0.8809

Let X be the random variation that follows a normal distribution;

Then;

population mean $\mu$ = n × p

population mean $\mu$ = 300 × 0.04

population mean $\mu$ = 12

The standard deviation $\sigma = \sqrt{np(1-p)}$

The standard deviation $\sigma = \sqrt{300 \times 0.04(1-0.04)}$

The standard deviation $\sigma = \sqrt{11.52}$

The standard deviation $\sigma = 3.39$

The z -score can be computed as:

$z = \dfrac{x - \mu}{\sigma}$

$z = \dfrac{16 -12}{3.39}$

$z = \dfrac{4}{3.39}$

z = 1.18

The required probability is:

P(X ≤ 10) = Pr (z ≤ 1.18)

= 0.8809

5 0

3 years ago

9. SHOW FULL STEPS. Solve for f(-4) and f(7) of the function below<br>f(x)=7-2x-3x²

qwelly [4]

Answer:

f(-4) = 33

f(7) = -154

Step-by-step explanation:

In this question, you will solve the function by plugging in the given value.

Solve:

f(-4) = 7 - 2(-4) -3(-4)²

= 7 - 2(-4) - 48

= 7 + 8 - 48

= 7 - 40

f(-4) = 33

----------------------------------

f(7) = 7 - 2(7) -3(7)²

= 7 - 2(7) - 147

= 7 - 14 - 147

= 7 - 161

f(7) = -154

8 0

3 years ago