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Answer:

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Step-by-step explanation:

Step(i):-

Given that the mean of the Population = 40

Given that standard deviation of the Population = 15

Let 'x' be the random variable in normal distribution

Let 'X' = 25

[tex]Z = \frac{x-mean}{S.D} = \frac{25-40}{15} = -1[/tex]

Let 'X' = 55

[tex]Z = \frac{x-mean}{S.D} = \frac{55-40}{15} = 1[/tex]

Step(ii):-

The probability that between 25 and 55

P( 25 ≤ X≤ 55) = P( -1≤z≤1)

                       = A(1) - A(-1)

                      = A(1) + A(1)

                     = 2 × A(1)

                    = 2× 0.3413

                   = 0.6826

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Final answer:-

The proportion of measurements between 25 and 55

P( 25 ≤ X≤ 55) = 0.6826

Answer21.98

Step-by-step explanation:

Answer:

Step-by-step explanation:

x is the number of questions on the test.

42/x = 70%

x = 42/70% = 42/0.70 = 60

Answer:

30

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

(7*6 - 4^2)+4 = (42 - 16) + 4 = 26 + 4 = 30

Answer:

45.24

Step-by-step explanation:

Percentage Calculator: 38 is what percent of 84? = 45.24.

Answer:

45%

Step-by-step explanation:

84÷100=0.84

38÷0.84=45.24 rounded that is 45%

Note:

Your questions sound a little unclear.

But, I am assuming your questions as:

''70% of x is 14 min. Find the value of x''.

So, I will solve assuming this statement which anyways would clear your concept.

Answer:

The value of x = 20.

Step-by-step explanation:

Given

''70% of x is 14 min. Find the value of x''.

Thus,

70% of x = 14

70/100 × x = 14

0.7x = 14

divide both sides by 0.7

0.7x/0.7 = 14/0.7

x = 20

Therefore, we conclude that the value of x = 20.

Answer:

1) 2x+1 = 2x-4

2) 6x+2=3(2x+1)

3) -4x -5=-2(2x)+2

Step-by-step explanation:

We need to give three examples of equations where there would be no solution.

First we will define equation with no solution.

If solving an equation you get the result as 3=5 but 3 is not equal to 5, so the equation has no solution.

Examples of equations where there would be no solution

1) 2x+1 = 2x-4

2x-2x=-4-1

0=-1 ( false)

So, the equation has no solution.

2) 6x+2=3(2x+1)

6x+2=6x+1

6x-6x=1-2

0=-2 (false)

So, the equation has no solution.

3) -4x -5=-2(2x)+2

-4x-5=-4x+2

-4x+4x=2+5

0=7 (false)

So, the equation has no solution.

Answer: C and D.

Step-by-step explanation: The pictures show the work. So sorry about the delay -- my computer wasn't letting me type formulas, so I hand-wrote. If you have questions, let me know and I'd be happy to clarify, and if the pictures are sideways, use the rotate button at the top right.

Answer: A.

Step-by-step explanation: It's 20 pionts bro.

Answer:

On average, Elizabeth will earn $43.35 per week if her chickens lay 51 dozen per week.

Step-by-step explanation:

0.85x

x represents how many dozens

0.85(51) = 43.35

Answer:

hgfc

Step-by-step explanation:

nbc

Answer:

A

Step-by-step explanation:

5x = 30

divide both sides by 5:

x = 6

Answer:

63 in^2

Step-by-step explanation:

Area = base x height

Base: 7

Height: 9

9 x 7 = 63

Answer:

63 inches squared or [tex]63in^{2}[/tex]

Step-by-step explanation:

The answer is 63 inches squared.

The area of a parallelogram is always base times height.

In this case, the base is seven and the height is nine.

To find the area, we must multiply nine by seven

We get 63

But, we are multiplying inches and inches together

When we multiply something by itself, it becomes squared

Since we are multiplying inches by inches, it becomes inches squared

Therefore, the area of the shape is 63 inches squared, or

[tex]63in^2[/tex]

Answer:

-21

Step-by-step explanation:

Answer:

Option b-21

As coefficient is the number before variables

and here the number before is -21

Answer:

half a cup

Step-by-step explanation:

75% minus 25% is 50% aka 1 half

Answer:

Multiplied, Group Addition

Step-by-step explanation:

Again, all I know of.

9514 1404 393

Answer:

  A

Step-by-step explanation:

When angles are between the parallel lines, they are called interior. If they are both on the same side of the transversal, they are "same-side interior."

If angles are on opposite sides of the transversal, they are exterior.

If angles are in the same direction from the intersection point, they are corresponding.

Angles in opposite directions from the point of intersection are vertical angles.

  same-side interior: {3, 5} and {4, 6}. (supplementary)

  same-side exterior: {1, 7} and {2, 8}. (supplementary)

  alternate interior: {3, 6} and {4, 5}. (congruent)

  alternate exterior: {1, 8} and {2, 7}. (congruent)

  corresponding: {1, 5}, {2, 6}, {3, 7}, {4, 8}. (congruent)

  vertical: {1, 4}, {2, 3}, {5, 8}, {6, 7}. (congruent)

Angles 6 and 4 are same-side interior angles; their sum is 180°.

Answer:

0.5

Step-by-step explanation:

0.21=42%

0.21/42=1%

0.005=1%

0.005 x 100 = 100%

0.5=100%

0.5

Answer:

C. The number of multiple-choice questions plus the number of

short-answer questions is 15.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the number of multiple-choice questions

y is the number of short-answer questions.

Multiple-choice questions are worth 2 points, and short-answer questions are worth 5 points.

This means that:

[tex]2x + 5y = 60[/tex]

The test has 15 questions.

This means that:

[tex]x + y = 15[/tex].

Which means that option C is the correct answer.

Answer:

C. The number of multiple-choice questions plus the number of short-answer questions is 15.

Step-by-step explanation:

x + y = 15

Answer:

what hcomp10 said he is right

Step-by-step explanation:

Answer:

(100-m)+(45+n)

Step-by-step explanation:

100 -n and 45-m. You would have to add them together to get the amount of the shares.

Answer:

x = 13, z = 184

Step-by-step explanation:

(14x-94) = 88

14x = 182

x = 13

z = 360 - 88*2 = 360 - 176 = 184

Answer:

x = 13; z = 92

Step-by-step explanation:

88 = 14x - 94

14x = 182

x = 13

180 = z + 88

z = 92

Answer: The probability is 2/5.

Step-by-step explanation: If there are 5 pink bows, 1 blue bow, and 4 purple bows, there are a total of 10 bows in the box. The probability of choosing a purple one is 4/10 (since there are 4 purple bows). 4/10 simplifies to 2/5.

The probability Nerissa will choose a purple bow is [tex]\frac{2}{5}[/tex].

Here Nerissa has 5 pink bows, 1 blue bow and 4 purple bows in a box.

She will randomly choose 1 box from the box.

What is Probability?  

The ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.

Now,

Total number of bows = 5 + 1 + 4 =10

Number of purple bow = 4

Probability to choose purple bow = [tex]\frac{Total number of purple bow}{Total number of bow }[/tex]

                                                   =   [tex]\frac{4}{10}[/tex]

                                                   =[tex]\frac{2}{5}[/tex]

So, probability to choose purple bow is 2/5.

Learn more about the Probability visit:

https://brainly.in/question/51087124

#SPJ6

Answer:

I sorted them by colors: red goes with red, blue with blue, purple with purple and brown with brown :))

Step-by-step explanation:

Answer:

M₁=Fr²/GM₂

Step-by-step explanation:

The original formula is

F = GM₁M₂/r²

Rearrange it so M₁ is isolated:

Fr²=GM₁M₂

M₁=Fr²/GM₂

Answer:

4 2/3