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3 years ago

What is 7/10 divided by 12 simplified

Mathematics

2 answers:

OlgaM077 [116]3 years ago

7 0

Answer:

0.058333

Step-by-step explanation:

defon3 years ago

4 0

Answer:

7 /120

Step-by-step explanation:

7/10 ÷ 12

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7/10 * 1/12

7 /120

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Scores on a recent national statistics exam were normally distributed with a mean of 80 and a standard deviation of 6. a. What i

MrMuchimi

Answer:

0.0668, 0.0440, 92, 5000, 80

Step-by-step explanation:

a. First calculate the z-score:

z = (x - μ) / σ

z = (71 - 80) / 6

z = -1.5

Now we use a calculator or z-score table to find P(z<-1.5).

P(z<-1.5) = 0.0668

b. Again, we calculate the z-scores:

z = (x - μ) / σ

z = (89 - 80) / 6

z = 1.5

z = (x - μ) / σ

z = (92 - 80) / 6

z = 2

Using a calculator or z-score table, we want to find P(1.5<z<2). Which is equal to P(z<2) - P(z<1.5).

P(z<2) - P(z<1.5)

0.9772 - 0.9332

0.0440

c. This time we want to go backwards. We need to find the z score such that P(z>?) = 0.0250. Or P(z<?) = 1 - 0.0250 = 0.9750. According to the table, z = 1.96.

Now finding the x value that gives us that z-score:

z = (x - μ) / σ

1.96 = (x - 80) / 6

11.76 = x - 80

x = 91.76

Since scores have to be whole numbers, we round up to 92.

d. From part b, we know the z-score for this is 1.5, and that P(z<1.5) = 0.9332. That means that P(z>1.5) = 1 - 0.9332 = 0.0668.

So if 334 scores make up 6.68% of all scores, then the number of students who took the exam is:

0.0668 N = 334

N = 5000

e. For a normal distribution, the median is also the mean. 80.

5 0

4 years ago

Two times x is 8 more than y. The sum of x and two times y is 14. Write two equations and graph to find the value of y.

Sauron [17]

Option B: $y=4$ is the value of y

Explanation:

It is given that "Two times x is 8 more than y". Writing it as expression, we have,

$2x=8+y$

It is also given that "The sum of x and two times y is 14". Writing it as expression, we have,

$x+2y=14$

To find the value of y, let us solve the two equations using substitution method.

From the equation $2x=8+y$ , let us find the value of x.

$x=\frac{8+y}{2}$

$x=\frac{8}{2} +\frac{y}{2}$

$x=4+\frac{y}{2}$

Now, substituting $x=4+\frac{y}{2}$ in the equation $x+2y=14$ , we get,

$4+\frac{y}{2}+2y=14$

$4+\frac{5y}{2} =14$

$\frac{5 y}{2}=10$

$5y=20$

$y=4$

Thus, the value of y is $y=4$

8 0

3 years ago

Which of the following represents a random sample if the population being sampled is students participating in athletics at a lo

shtirl [24]

Choosing ten students from a box that contains the names of the entire group.

This is the only one where everyone has an equal chance of being chosen.

7 0

3 years ago

Read 2 more answers

Calculate the chance of dice rolling the same time every roll

lilavasa [31]

I think it would be a one i eight chance of that happening 1/8

4 0

3 years ago

HELPPP ASAPPPPP!!!!!! PLEASE :(

goldfiish [28.3K]

Step-by-step explanation:

A bar graph serves to visibly represent the frequency of a series of events.

To create a bar graph you can draw on the horizontal axis, each one of the events, and on the axis to verticate the frequency of occurrence.

For this case the possible events are the values from 1 to 5 of the numbered sequence

1 2 3 4 5

The frequency for each number is

4 6 2 6 2.

With these values, a bar graph was made in excel, which is shown in the attached image.

There it is observed that the events with greater frequency are the 4 and the 2.

5 0

4 years ago