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2 years ago

The sum of 5 consecutive integers is 265

Mathematics

1 answer:

Oliga [24]2 years ago

5 0

51, 52, 53, 54, 55

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A math problem asks when two brothers will have saved the same amount of money. When Marta writes and solves the equation, her f

Bezzdna [24]

That it wiil not equal out to be the same unless one of them start with money

3 0

2 years ago

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

2 years ago

Find the value of x.<br> (7x - 1)º<br> (6x - 1)º

dangina [55]

Answer:

Step-by-step explanation:

7x - 1 + 6x - 1 = 180

13x - 2 = 180

13x = 182

x = 14

7(14) - 1 = 98 - 1= 97

6(14) - 1 = 84 - 1 = 83

6 0

2 years ago

Which matrix equation has the solution

leonid [27]

Answer: x=0.6 btw how do you put a picture into a question.

5 0

2 years ago

there are 3 boys for every 2 girls in the class. there are 90 students total. how many total girls? how many total boys?

netineya [11]

Answer: There is 36 girls and 54 boys.

Step-by-step explanation: If there is 36 girls and there is 3 boys for every 2 girls that means half of 36 is 18 so do 18 times 3 which will equal 54 boys.

54+36=90

4 0

2 years ago