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Marta_Voda [28]
3 years ago
13

What’s the value of a ?

Mathematics
1 answer:
Mariulka [41]3 years ago
8 0

Answer:

c

Step-by-step explanation: ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc


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Determine whether each relationship represented by the
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Set number 1, 2, 3, and 4 or (a,b,c,d) is a function
EXPLANATION:
in a function you can’t have two of the same x values.
hope this helped :)
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(9/9) If you reflect the letter "W" over the x-axis what letter will it become? Explain
Gala2k [10]
Hold on rq I did this
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3 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
3 years ago
17. Santino loves to rock different colored polo shirts every day. He recently wore the following colors:
qaws [65]

Answer:

The mode for the colors that Santino wore recently is Blue.

Step-by-step explanation:

The mode of a data set is the term or observation that presents most of the time.

The frequency table of different colored polo shirts worn by Santino is:

Color      Frequency

Yellow            2

 Blue              3

Green             1

 Pink              1

Brown            1

Orange          1

Chartreuse    1

Black              1

Puce              1

The color Blue has the highest frequency, i.e. 3.

So, the mode for the colors that Santino wore recently is Blue.

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3 years ago
Nancy buys 2 large pizzas for her brother’s birthday party. The girls eat 7/8 and the boys eat 5/8 Nancy says that 1 1/2 are lef
storchak [24]

Answer:

Step-by-step explanation:iiIshhd

4 0
3 years ago
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