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lisov135 [29]
3 years ago
13

A criminologist developed a test to measure recidivism, where low scores indicated a lower probability of repeating the undesira

ble behavior. The test is normed so that it has a mean of 140 and a standard deviation of 40. Suppose an individual is in the 67th percentile in this exam.What is his or her corresponding recidivism score
Mathematics
1 answer:
Citrus2011 [14]3 years ago
3 0

Answer:

157.6

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score,

μ is the population mean, and

σ is the population standard deviation.

From the question:

Mean = 140

Standard deviation = 40

Recidivism score = x score = ??

z = z score of 67th percentile = 0.44

Hence,

0.44 = x - 140/40

Cross Multiply

0.44 × 40 = x - 140

17.6 = x - 140

x = 140 + 17.6

x = 157.6

Therefore, his corresponding recidivism score is 157.6

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Tell whether the given number is a solution of each question. ( Must show work for credit)
guajiro [1.7K]

Answer/Step-by-step explanation:

1. 9 = 2a + 3 ; 3

Let's solve for a.

9 - 3 = 2a (subtraction property of equality)

6 = 2a

\frac{6}{2} = a (division property of equality)

3 = a

a = 3

Therefore, 3 is a solution to 9 = 2a + 3

2. 5n - (-30) = 5 ; 7

5n + 30 = 5 (- × - = +)

5n = 5 - 30 (Subtraction property of equality)

5n = -25

\frac{5n}{5} = \frac{-25}{5} (division property of equality)

n = -5

Therefore, 7 is not a solution of 5n - (-30) = 5

3. 4.4r - 2.8 = 1.6 ; 1

4.4r = 1.6 + 2.8

4.4r = 4.4

\frac{4.4r}{4.4} = \frac{4.4}{4.4}

r = 1

Therefore, 1 is a solution of 4.4r - 2.8 = 1.6.

5 0
3 years ago
a store has 800 T-shirts if 40 of the t-shirts are a size small what percent of the t-shirts are small
kicyunya [14]
5 percent of the shirts are small
4 0
3 years ago
Joshua can purchase tile at one store for $0.99 per tile but he he will have to rent a tile saw for $25 at another store he can
natita [175]

Answer: the number of tiles will be 49

Step-by-step explanation:

Let x represent the number of tiles that Joshua can buy at either stores.

one store for $0.99 per tile but he he will have to rent a tile saw for $25. Let the total cost of buying x tiles in this store be y. Therefore

y = 0.99x + 25

At another store, he can buy a tile for $1.50 per tile and borrow a tile saw for free. Let the total cost of buying x tiles in this store be z. Therefore

z = 1.5x

To determine the number of tiles for which both costs will be the same, we will equate y to z. It becomes

0.99x + 25 = 1.5x

1.5x - 0.99x = 25

0.51x = 25

x = 25/0.51

x = 49

3 0
3 years ago
During the first week of the year, Angelina's dad gives her $10 and says that he will give her $10 more each week for the rest o
wel
You have to multiply 10 by the number of weeks in a year which is 521.429
table:
1 week=10$ 2 weeks=20$ and so on

3 0
3 years ago
Read 2 more answers
What does -16t^2 mean in h(t)=5+100t-16t^2
marissa [1.9K]

-16t^2 represent the position on the graph on the negative side.

According to the statement

we have given equation is h(t)=5+100t-16t^2 -(1)

And we have to find representation of -16t^2

we know that the equation number (1) represent the Quadratic Equation

And in this we have to solve the Quadratic Equation and find the representation of the given terms. then

h(t)=5+100t-16t^2

5+100t-16t^2 = 0

16t^2 -100t-5 = 0

In this equation 16t^2 represent the equation on the graph.

It means that it shows the position on the graph.

Overall, -16t^2 represent the position on the graph on the negative side.

Learn more about GRAPH here brainly.com/question/4025726

#SPJ1

4 0
1 year ago
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