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My name is Ann [436]
3 years ago
6

Please help me on this question

Mathematics
2 answers:
NeX [460]3 years ago
8 0
D. 42,240

9.7 - 1.7 = 8 miles
Multiply 8 by 5280 to convert it to feet
8 * 5280 = 42,240
Murrr4er [49]3 years ago
7 0

Answer:

D 42,240 ft

Step-by-step explanation:

First find how many miles Anil rides.

9.7-1.7 = 8 miles

There are 5280 feet in 1 mile.

5280*8= 42,240 ft

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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

3 0
3 years ago
A car rental company rented out 8 cars in its first month. The number of cars it rented doubled each month. What was the total n
skad [1K]
The total number of cars rented for the first 5 months is
8 + 16 + 32 + 64 + 128 = 248
6 0
2 years ago
Read 2 more answers
A pair of jeans is on sale for 20% off. The sale price is $55.00. What is the original amount of the pair of jeans?
konstantin123 [22]

Answer: 275$

I'm not entirely sure I did this right! But at least try!!!

Step-by-step explanation:

20/100 = 55/x (cross multiply)

20x = 5,500 (divide)

X = 275

5 0
2 years ago
What is the diameter of this circle? A) 2 cm B) 3.14 cm C) 4 cm D) 8 cm
Verizon [17]

Answer:

The answer is c

Step-by-step explanation:

Well, since the Circle is 8cm you can divide the circle by two to get 4

5 0
3 years ago
A1 Plumbing Service charges $35 per hour plus a $25 travel charge for a service call. Good Guys Plumbing Repair charges $40 per
AlladinOne [14]

A1 = 35x+25

Good guys = 40x

35x+25 = 40x

subtract 3x x from each side

25 = 5x

 divide each side by 5

x = 25/5 = 5

 so 5 hours they would be the same cost,  anything over 5 hours and A1 would be better

so X>5 for A1 to be the better price

3 0
2 years ago
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