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3 years ago

What is the relative minimum of the function? Enter your answer in the box.

Mathematics

1 answer:

trapecia [35]3 years ago

5 0

Answer:

-5

Step-by-step explanation:

The minimum is at the vertex. This is at (1, -5)

The minimum value is -5

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Help please I’ll mark you brainliest! But can you give me an explanation as well :)

Ad libitum [116K]

The correct answer to this question would be B

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3 years ago

Candace invests $636 in an investment that pays 7% interest compounded quarterly. What is her annual effective yield? Input answ

Damm [24]

Answer:

7.19%

Step-by-step explanation:

let i be the effective rate

$(1+\frac{.07}{4})^4=(1+i)\\.071859031$

6 0

2 years ago

Read 2 more answers

In studies for a medication, 3 percent of patients gained weight as a side effect. Suppose 643 patients are randomly selected.

timofeeve [1]

Part a)

It was given that 3% of patients gained weight as a side effect.

This means

$p = 0.03$

$q = 1 - 0.03 = 0.97$

The mean is

$\mu = np$

$\mu = 643 \times 0.03 = 19.29$

The standard deviation is

$\sigma = \sqrt{npq}$

$\sigma = \sqrt{643 \times 0.03 \times 0.97}$

$\sigma =4.33$

We want to find the probability that exactly 24 patients will gain weight as side effect.

P(X=24)

We apply the Continuity Correction Factor(CCF)

P(24-0.5<X<24+0.5)=P(23.5<X<24.5)

We convert to z-scores.

$P(23.5 \: < \: X \: < \: 24.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \: \frac{24.5 - 19.29}{4.33} ) \\ = P( 0.97\: < \: z \: < \: 1.20) \\ = 0.051$

Part b) We want to find the probability that 24 or fewer patients will gain weight as a side effect.

P(X≤24)

We apply the continuity correction factor to get;

P(X<24+0.5)=P(X<24.5)

We convert to z-scores to get:

$P(X \: < \: 24.5) = P(z \: < \: \frac{24.5 - 19.29}{4.33} ) \\ = P(z \: < \: 1.20) \\ = 0.8849$

Part c)

We want to find the probability that

11 or more patients will gain weight as a side effect.

P(X≥11)

Apply correction factor to get:

P(X>11-0.5)=P(X>10.5)

We convert to z-scores:

$P(X \: > \: 10.5) = P(z \: > \: \frac{10.5 - 19.29}{4.33} ) \\ = P(z \: > \: - 2.03)$

$= 0.9788$

Part d)

We want to find the probability that:

between 24 and 28, inclusive, will gain weight as a side effect.

P(24≤X≤28)=

P(23.5≤X≤28.5)

Convert to z-scores:

$P(23.5 \: < \: X \: < \: 28.5) = P( \frac{23.5 - 19.29}{4.33} \: < \: z \: < \: \frac{28.5 - 19.29}{4.33} ) \\ = P( 0.97\: < \: z \: < \: 2.13) \\ = 0.1494$

3 0

3 years ago

A study intends to estimate a population mean with an unknown population standard deviation and a sample size of 15. Which of th

GuDViN [60]

Answer:2.624

Step-by-step explanation:

5 0

3 years ago

Find the ratio. Than find and interpret the value of the ratio

shepuryov [24]

Answer:

The ratio is 3/4: 2

The value of the ratio is 3/8

The amount of club soda is 3/8 times the amount of white grape juice

3 0

3 years ago