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3 years ago

9

Mile markers along the highway to tell drivers how many miles they have traveled from one location to another suppose Daniel See

s mile marker 141 when he gets onto the highway and mile marker 67 when he exits the highway how far did Daniel travel on the highway?

1 answer:

blsea [12.9K]3 years ago

4 0

141 - 67 = 74, so he traveled 74 miles

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Q6. (15 points) IQ examination scores of 500 members of a club are normally distributed with mean of 165 and SD of 15.

melamori03 [73]

Answer:

a) 0.8413

b) 421

c) $P_{95} = 189.675$

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 165

Standard Deviation, σ = 15

We are given that the distribution of IQ examination scores is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(IQ scores at most 180)

P(x < 180)

$P( x < 180) = P( z < \displaystyle\frac{180 - 165}{15}) = P(z < 1)$

Calculation the value from standard normal z table, we have,

$P(x < 180) = 0.8413 = 84.13\%$

b) Number of the members of the club have IQ scores at most 180

n = 500

$\text{Members} = n\times \text{P(IQ scores at most 180)}\\= 500\times 0.8413\\=420.65 \approc 421$

c) P(X< x) = 0.95

We have to find the value of x such that the probability is 0.95

$P( X < x) = P( z < \displaystyle\frac{x - 165}{15})=0.95$

Calculation the value from standard normal z table, we have,

$P(z < 1.645) = 0.95$

$\displaystyle\frac{x - 165}{15} = 1.645\\\\x = 189.675$

$P_{95} = 189.675$

8 0

3 years ago

Austin walks 1/3 of the way to school and stopped to rest. Devyn walks 2/6 of the way to the school and stops to rest who travel

r-ruslan [8.4K]

Answer:

Austin and Devyn.

Step-by-step explanation:

1/3 and 2/6 are equal fractions.

7 0

3 years ago

What’s the correct answer for this? Select all the ones that apply

NNADVOKAT [17]

Answer:

C and E

Step-by-step explanation:

ANP = BNP = 90 WILL PROVE THAT CD IS PERPENDICULAR TO AB.

7 0

3 years ago

Read 2 more answers

The highest temperature recorded in Greensburg was 35C. Write the opposite temperature.

hichkok12 [17]

Answer: the opposite answer is 35F

Step-by-step explanation: the C goes to a F

8 0

3 years ago

Write an equation for the nth term of the arithmetic sequence. Then find a50.

julia-pushkina [17]

Step-by-step explanation:

Since the sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = 1/3

d = 1/2 - 1/3 = 1/6 or 2/3 - 1/2 = 1/6

Substitute the values into the above formula

That's

<h3> $A(n) = \frac{1}{3} + (n - 1) \frac{1}{6} \\ = \frac{1}{ 3} - \frac{1}{6} + \frac{1}{6} n$ </h3>

So the nth term of the sequence is

<h3> $A(n) = \frac{1}{6} + \frac{1}{6}n$ </h3>

For a50 since we are finding the 50th term

n = 50

So we have

<h3> $A(50) = \frac{1}{6} + \frac{1}{6} (50) \\ = \frac{1}{6} + \frac{25}{3}$ </h3>

We have the final answer as

<h3> $A(50) = \frac{17}{2}$ </h3>

Hope this helps you

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3 years ago