the ratio of pink marbles to white marbles and Tamera's bag is equal to 1:5 what percent of the bag contains pink marbles

The 20 to 34 age groups are approximately normally distributed with µ = 110

Savatey [412]

Answer:

21.94% of people aged 20 to 34 have IQs between 125 and 150.

Step-by-step explanation:

The complete question is: Scores on the Wechsler Adult Intelligence Scale (a standard IQ test) for the 20 to 34 age group are approximately Normally distributed with μ = 110 and σ = 25.

What percent of people aged 20 to 34 have IQs between 125 and 150?

Let X = Scores on the standard IQ test for the 20 to 34 age group

SO, X ~ Normal( $\mu=110,\sigma^{2} =25^{2}$ )

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean = 110

$\sigma$ = standard deviation = 25

Now, the percent of people aged 20 to 34 have IQs between 125 and 150 is given by = P(125 < X < 150) = P(X < 150) - P(X $\leq$ 125)

P(X < 150) = P( $\frac{X-\mu}{\sigma}$ < $\frac{150-110}{25}$ ) = P(Z < 1.60) = 0.9452

P(X $\leq$ 125) = P( $\frac{X-\mu}{\sigma}$ $\leq$ $\frac{125-110}{25}$ ) = P(Z $\leq$ 0.60) = 0.7258

The above probability is calculated by looking at the value of x = 1.60 and x = 0.60 which has an area of 0.9452 and 0.7258.

Therefore, P(125 < X < 150) = 0.9452 - 0.7258 = 0.2194 or 21.94%

7 0

4 years ago

What is the word phrase of 4/n?

juin [17]

Four divided by a number n.
I'm sure of it and I hope I helped.

7 0

3 years ago

A competitive diver dives from a 33-foot high diving board. The height of the diver in feet after 't' seconds is given by u(t) =

ludmilkaskok [199]

Answer:

$t = 0.375s$

Step-by-step explanation:

Given

$h(t) = -16t^2 + 4t + 33$ --- driver 1

$Rate = 2ft/s$ -- driver 2

$height = 33ft$

Required

The time they passed each other

First, we determine the function of driver 2.

We have that:

$Rate = 2ft/s$ and $height = 33ft$

So, the function is:

$h_2(t) = Height - Rate * t$

$h_2(t) = 33 - 2t$

The time they drive pass each other is calculated as:

$h(t) = h_2(t)$

$-16t^2 + 4t + 33= 33 - 2t$

Collect like terms

$-16t^2 + 4t + 2t= 33 - 33$

$-16t^2 + 6t= 0$

Divide through by 2t

$-8t + 3= 0$

Solve for -8t

$-8t = -3$

Solve for t

$t = \frac{-3}{-8}$

$t = 0.375s$

7 0

3 years ago

HELp ME 100 points if you awncer and branlyest

boyakko [2]

Answer:

its the middle 3

Step-by-step explanation:

B C and D

5 0

3 years ago

Read 2 more answers

camelback mountain has an elevation change of 1,264 feet. how many pennies would it take to make a stack that high ? show all wo

gtnhenbr [62]

Camel back Mountain = 15,168 inches (1,264 feet)

1 Penny = 0.061 (.0610) Inches

10 Penny = 0.61 (.610) Inches

100 Penny = 6.1 (6.10) Inches

1,000 Penny = 61 (61.0) Inches

10,000 Penny = 610 (610.0) Inches

-SOLVING-

10,000 Penny = 610 inches PLUS

1,000 Penny = 61 inches AND 61 inches x 5 = 305 (5,000 Penny)

100 Penny = 6.1 inches PLUS

10 Penny = 0.61 inches AND 0.61 inches x 6 = 3.66 (60 Penny)

1 Penny = 0.061 inches AND 0.061 inches x 8 = 0.488 (8 Penny)

-FINAL ANSWER-

610 + 305 + 6.1 + 3.66 + 0.488 = 925.248 Penny it would take.

3 0

2 years ago