Solve the equation
2.5y +6 =4.5y -1

Answer:

The probability that the average final exam grade of this sample is between 77 and 82

P(77≤ x⁻≤ 82 =  0.8315 or 83%

Step-by-step explanation:

Step(i):-

Given random sample size 'n' = 40

Mean of the normal distribution = 81

Standard deviation of normal distribution = 6.6

Let x₁⁻ = 77

\(Z_{1} = \frac{x_{1} -mean }{\frac{S.D}{\sqrt{n} } } = \frac{77-81}{\frac{6.6}{\sqrt{40} } }\)

Z₁ = -3.83

Let x₂⁻ = 77

\(Z_{2} = \frac{x^{-} _{2} -mean }{\frac{S.D}{\sqrt{n} } } = \frac{82-81}{\frac{6.6}{\sqrt{40} } }\)

Z₂ = 0.958

The probability that the average final exam grade of this sample is between 77 and 82

P(77≤ x≤ 82) = P( -3.83 ≤x≤0.958)

                    = A( 0.958) + A(3.83)

                   = 0.3315 + 0.4995

                   = 0.8315

The probability that the average final exam grade of this sample is between 77 and 82  = 0.8315 or 83%

Answer:

B

Step-by-step explanation:

taking test rn ill say if its correct when i finish

Answer:

C reflection over y=x-1 (x+0y-4)

Step-by-step explanation:

Just got it right on the test

Answer:

B)105

Step-by-step explanation:

Let's denote the measures of the other two angles as 3x and 7x, where x is a constant. We know that the sum of the angles in a triangle is 180 degrees.

So, we can set up an equation to find x:

30 + 3x + 7x = 180

Combining like terms:

30 + 10x = 180

Subtracting 30 from both sides:

10x = 150

Dividing both sides by 10:

x = 15

Now we can find the measures of the other two angles:

3x = 3 * 15 = 45

7x = 7 * 15 = 105

The largest angle of the triangle is 105 degrees.

Step-by-step explanation:

CFB reads as twenty five degrees

complementary angle  will add to it to sum 90 degrees  = sixty five degrees

   angle CFD is sixty five degrees

Answer:

140 degrees

Step-by-step explanation:

supplementary angles

Answer:

<2=140

Step-by-step explanation:

For this problem since the whole angle is 180 all you do is do 180-40 and you get 140 which is <2

Answer:

  $10,100

Step-by-step explanation:

You want to know the book value after 3 years of a car purchased for $11,900 that has a resale value of $8,300 after 6 years.

The depreciation each year will be the difference in starting and ending values, divided by the number of years of useful life.

  annual depreciation = ($11,900 -8,300)/(6 years)

  = $3600/(6 years) = $600/year

After 3 years, the value has depreciated by 3 × $600, so the remaining book value is ...

  $11,900 -1,800 = $10,100

The book value of the car after 3 years is $10,100.

__

Additional comment

There are other ways to calculate depreciation on an item not used for production, including the declining balance method, the double declining balance method, and the sum of years digits. The straight-line method used here seems most applicable for this situation.

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Answer:

x = 2

Step-by-step explanation:

P = \(\frac{x-2}{x+1}\)

P will equal zero when the numerator is equal to zero , that is

x - 2 = 0 ( add 2 to both sides )

x = 2

P = 0 when x = 2

Answer:

3x+20y

Step-by-step explanation:

First write down the expression.

5(x + 5y) - {2x – [3x – 3(x – 2y) + y]}

Now, the first thing you would have to do is the first parenthesis

5(x+5y)

5x+25y

So far, the expression looks like this: 5x+25y - {2x – [3x – 3(x – 2y) + y]}

No we would do the smallest parenthesis in the expression.

Which is: (x – 2y)

But since there is nothing to simplify, we move on

Next one is  [3x – 3(x – 2y) + y]

We have to do 3(x-2y) first

This is equal to: 3x-6y

So far, the expression looks like this:5x+25y - {2x – [3x – 3x-6y + y]}

The next step is still in the other parenthesis up top

Which is: [3x – 3x-6y + y]

We have to add up the x's and y's

Which is -5y

Our expression now looks like this:5x+25y - 2x-5y

Since we don't have anymore parenthesis, we look for the same letter and add or subtract them.

We have to do 5x-2x=3x

25y-5y=20y

So that means our final answer is :3x+20y

Hope this answer is correct!

If It is, can you give me brainliest, it took me almost 25 minutes to write this down.

A pie chart is a graphical chart that is circular in shape. The sum of degrees in a pie chart is equal to 360 degrees.

The portion of  football in degrees is 72 degrees

From the question,

The total number of hours for each sports activity = 50 hours

The total number of hours spent on football = 10 hours

The formula to calculate the portion for football in degrees is given as:

(Number of hours spent on football / Total number of hours)   x 360 degrees

10 hours/ 50 hours x 360 degrees

= 72 degrees

Therefore, the portion of  football in degrees is 72 degrees

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Answer:

The picture isn't clear enough.

9514 1404 393

Answer:

Step-by-step explanation:

The result each should have obtained is ...

  a +10 = 17

  a = 7

Braulio's mistake was in using 1 as his divisor instead of -1. His bottom row should have been 1, 4, a-4, 1-a, a +10.

Zahra's mistake was improperly evaluating higher powers of -1. Her evaluation should have been 1 -5 +a +3 +11 = a +10.

Answer:

1250*.05=62.5. Then just add it to the amount for the total dollars shw needs to spend with tax

Step-by-step explanation:

After considering the given data we come to the conclusion that the area to the left of z is 0.982, which is Option D. And the standard deviation of the given data is 87.6, which is Option C.


In order to  calculate the area to the left of z=2.09 we have to  apply the z-table:
1. Search for the row that starts with "2.0" in the leftmost column of the z-table.
2. Then for the column that starts with "0.09" in the top row of the z-table.
3. Here the value at the intersection of this row and column is 0.9821.
4. Finally round this value to three decimal places to get 0.982.
Hence , the area to the left of z=2.09 is 0.982.

Now for the second part of the question
Applying the given data set {10, 26, 84, 48, 250, 56}, we can evaluate the standard deviation as follows:

1. Evaluate the mean:
mean = (10 + 26 + 84 + 48 + 250 + 56) / 6 = 74
2. Applying subtraction of the mean from each data point:
{10 - 74, 26 - 74, 84 - 74, 48 - 74, 250 - 74, 56 - 74}
= {-64, -48, 10, -26, 176, -18}
3. Applying square of the result of step 2:
{(-64)², (-48)², (10)², (-26)², (176)², (-18)²}
= {4096, 2304, 100, 676, 30976, 324}
4. Exercising summation of the result of step 3:
4096 + 2304 + 100 + 676 + 30976 + 324
= 38176
5. Applying division of the result of step 4 by the number of data points (n):
standard deviation = √(38176 / (6 -1))
= √7625.2)
≈ 87.6.
Therefore, the answer is  87.6
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Answer: 14

Step-by-step explanation:

Answer:

it'd be $1.06 rounded to the nearest thousendth or $1.06400

Step-by-step explanation:

13.30*8/100=Your Answer

Here, we want to identify the solution set of the system of inequalities

These can be obtained by actually plotting the inequality

By plotting the inequality, we have the shaded part as the solution set

We have the plot as shown below;

The shaded part in dark blue represents the solution set

Now to check if the point (2,6) is in the shaded part, we have to substitute the values of the coordinates of the point into the inequalities. By substituting, we will discover that it lies as it is a solution

The reason why it lies is because it is only points which are are solutions to the inequality that are present in te shaded part

Answer:

x=1

Step-by-step explanation:

1+1-1=1

1+1=2

2=1=1

Answer:

\(x=Any\ real\ number\)

Step-by-step explanation:

\(x+1-x=1\\1=1\\As\ x\ just\ gets\ canceled\ x\ can\ take\ any\ real\ values.\)

Answer:

b=4

<XQL= 62*

<MQR=62*

<XQM=118*

<LQR=118*

Step-by-step explanation:

Answer:

it will compare unit to some quanlity to a different number of units of a different queality.

Step-by-step explanation:

a/b=c/d proportions are two fractions that are equal example: 1/2=2/4

1/2 (1q) = 4

insert extra text here

The solution to the problem is that the number is 46.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

The equation that can be used to solve the problem is q - 22 = 24.

To solve this equation, we need to isolate q on one side of the equation.

q - 22 = 24

Adding 22 to both sides, we get:

q - 22 + 22 = 24 + 22

Simplifying, we get:

q = 46

Therefore, the solution to the problem is that the number is 46.

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\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

from the question;

we are to find the equation of line passing through the points (1, -8) and (4, 4)

first,

we need to define the formula of the equation of line passing through two points

the equation is given as

from the two points

substituting these values into the above equation, we get

therefore the equation of line passing through the points (1, -8) and (4, 4)

is y = 4x - 12

Answer:

-9897.5

Step-by-step explanation:

I went thru it and im pretty sure that only these work

-10

-5

-3

Answer:1/2

Step-by-step explanation:

Edg2021

Answer:

1/2

Step-by-step explanation:

im smart UwU

Answer:

0

Step-by-step explanation:

distributive property

6x + 6 - 5x = 8 + 2x - 2

combine like terms

x + 6 = 6 + 2x

subtract x from both sides

6 = 6 + x

subtract 6 from both sides

0 = x

Answer:

What is the question.

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Do you mean 9 ft. - 10 ft., which equals -1,

or do you mean 9 ft. x 10 ft., which is 90 ft.?