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natali 33 [55]
3 years ago
6

Scores on the Wechsler intelligence quotient (IQ) test are normally distributed with a mean score of 100 and a standard deviatio

n of 15 points. The US military has minimum enlistment standards at about an IQ score of 85. There have been two experiments with lowering this to 80 but in both cases these recruits could not master soldiering well enough to justify the costs. Based on IQ scores only, what percentage of the population does not meet US military enlistment standards?
Mathematics
1 answer:
rosijanka [135]3 years ago
5 0
15.87% of the population does not meet the minimum standards.

We use z-scores to find this probability:

z=(X-μ)/σ = (85-100)/15 = -15/15 = -1

Using a z-table (http://www.-table.com) we see that the area to the left of, less than, this is 0.1587.  This is 15.87%.
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Nojo is 5 years older then jacob . the product of their ages is 84 . now old is noj
mixer [17]
We can make two simple equations to express their ages to each other, then solve for one of the variables. Let n be Nojo's age and j be Jacob's age.

n(j) = 84
n - 5 = j
Use substitution to get only one variable in an equation.

n (n - 5) = 84
n^2 - 5n = 84

Since we have n to the power of 2, this equation has two possible answers, but since we are given four possible answer, just substitute them in the equation until one makes the left side equal 84.

<span>n^2 - 5n = 84
</span>12^2 - 5 (12) = 84
144 - 60 = 84
84 = 84

The answer is C = 12
5 0
3 years ago
Which expression is equivalent to 7(5t)?
Dafna11 [192]

Answer:

35+7t

Step-by-step explanation:

7(5t) {If you expand it}

7×5+7×t

35+7t

3 0
2 years ago
Read 2 more answers
Ali is sledding down a hill the graph shows her elevation as she sleds down the hill.​
iragen [17]

Answer:

The steepness of the hill is a function of the speed of the sled.

<em>Hope this helps :)</em>

5 0
3 years ago
Read 2 more answers
Find the length of the line segment formed by the points (2, 3) and (2, 5)
SCORPION-xisa [38]

Answer:

2 units

Step-by-step explanation:

Given data

The points are  (2, 3) and (2, 5)

x1= 2

y1= 3

x2= 2

y2= 5

substitute into the distance between two points formula

d=√((x_2-x_1)²+(y_2-y_1)²)

d=√((2-2)²+(5-3)²)

d=√(2)²)

d=√4

d= 2 units

Hence the length is 2 units

3 0
3 years ago
A 10 foot ladder is leaning up against a building. If the ladder makes a 46° angle
Gnesinka [82]

Answer:

7.193 ft

Step-by-step explanation:

    |\

    |   \

    |      \

    |         \

h  |            \      10 ft

    |               \

    |                  \

    |            46°   \

    ---------------------

For the 46° angle, h is the opposite leg. The hypotenuse is 10 ft. The sine is the trig ratio that relates the opposite leg to the hypotenuse.

sin A = opp/hyp

sin 46° = h/10

h = 10 sin 46°

h = 7.193

Answer: 7.193 ft

4 0
2 years ago
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