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3 years ago

Pls po kailangan ko na talaga pls po pakisagot lahat ng tama… Salamat

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

5 0

Answer:

saan po ba jan

Step-by-step explanation:

explain the

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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:

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

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3 years ago

Use the distributive property to fill in the blanks below. <br><br>(8 x 5) + (8 x 2) = 8 x (_ + _)

alekssr [168]

The answer is anything that adds up to 7.
Examples: (5 + 2) or (3 + 4)

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3 years ago

1. What is the minimum value of y in the graph below<br> y

nexus9112 [7]

Answer:

-1

Step-by-step explanation:

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3 years ago

Which equation represents a proportional relationship?

iren2701 [21]

The equation that represents a proportional relationship is:

y = 32x

Because:

y/x = 32

So that implies that y is directly proportional to x.

Note that other equations represent a proportional relationship in some form, only that the relationship y = 32x is the only direct proportional relationship.

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3 years ago

A store sells boxes of juice in equal size packs. Garth bought 18 boxes, Rico bought 36 boxes, and Mai bought 45 boxes. what is

Stolb23 [73]

The anwser of your problem is 2536 do you need an explanation

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3 years ago