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Elena-2011 [213]

3 years ago

10

Justin rode his bicycle 5.3 miles a day for 17 days straight. How many miles did Justin ride altogether during the 17-day stretc

h?
A. 95.4
B. 90.1
C. 84.4
D. 73.1

2 answers:

arsen [322]3 years ago

6 0

The answer is B. 5.3 miles per day * 17 days = 90.1 total miles.

Nastasia [14]3 years ago

5 0

B would be the best answer

You might be interested in

Consider the probability that greater than 26 out of 124 software users will call technical support. Assume the probability that

Mekhanik [1.2K]

Answer:

Since $n(1-p) = 3.72 < 10$ , the normal curve cannot be used as an approximation to the binomial probability.

100% probability that greater than 26 out of 124 software users will call technical support.

Step-by-step explanation:

Test if the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

It is needed that:

$np \geq 10$ and $n(1-p) \geq 10$

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

Out of 124 software users

This means that $n = 124$

Assume the probability that a given software user will call technical support is 97%.

This means that $p = 0.97$

Conditions:

$np = 124*0.97 = 120.28 \geq 10$

$n(1-p) = 124*0.03 = 3.72 < 10$

Since $n(1-p) = 3.72 < 10$ , the normal curve cannot be used as an approximation to the binomial probability.

Consider the probability that greater than 26 out of 124 software users will call technical support.

The lowest possible probability of those is 27, so, if it is 0, since it is considerably below the mean, 100% probability of being greater. We have that:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 27) = C_{124,27}.(0.97)^{27}.(0.03)^{97} = 0$

1 - 0 = 1

100% probability that greater than 26 out of 124 software users will call technical support.

3 0

3 years ago

3a. 16 +25= Your answer

Andrei [34K]

Answer:

16+25=41

hope it helps.

8 0

3 years ago

Read 2 more answers

I need to know the answer

solniwko [45]

X-3/8=-1/4
+3/8
x=-1/4+3/8
make both bottom numbers the same so you are able to add them
-1/4×2/2= -2/8
x=-2/8+3/8
x=1/8

4 0

3 years ago

Read 2 more answers

45% of the students in Primary 5 are boys. There are 165 girls. How many more girls than boys are there in primary 5?

bezimeni [28]

Answer:

30 more

Step-by-step explanation:

hope it helps friend.

5 0

2 years ago

Ari is setting up a fish tank for his goldfish. The tank holds 15 gallons of water. If each gallon of water weighs 8.3 pounds, h

IrinaVladis [17]

Answer:

124.5

Step-by-step explanation:

All you need to do is multiply.

15*8.3=124.5

This is because The total water in Ari's fish tank has 15 gallons, and each gallon has 8.3, so you multiply.

6 0

3 years ago