On a test that has a normal distribution, a score of 49 falls two standard deviations
below the mean, and a score of 61 falls one standard deviation above the mean.
Determine the mean of this test.

Answers

Answer 1

Answer:

57   mean

Step-by-step explanation:

x = mean

(x - 49 )  = 2 ( 61 -x)

x = 57


Related Questions

Can someone try to help me I’m trying to get to a 91

Answers

In most ovens, the lowest the temperature can go is 170°F. So, the most reasonable answer would be 200°F.

What is the AREA of the figure below?

Answers

Answer: 12

Step-by-step explanation:

height x width

3 x 4 = 12

short answer: Write an equation in the form y=ax2+bx+c for a parabola that intersects the x-axis at -6 and 2 and passes through the point (1,-14) (2 points). Show you work.

Answers

Answer:

y = 2x^2 + 8x - 24

Step-by-step explanation:

This is a "working backwards" kind of a problem. You know the solution (the x-intercepts) and work backwards to find the equation. See image.

How many combinations without repetition are possible if n = 6 and r = 3? 56 20 27 18

Answers

Answer:18

Step-by-step explanation:

n+r=9

n×r=27

r²=9

n²=36

n+n=12

r+n=9

r+r=6

tony wants to rent a bike. bike rentals cost $7.50 for a half hour. if tony rents a kayak for two hours and 30 minutes, how much will it cost him?

Answers

37.50

Step-by-step explanation:

$1,125. Two hours is 120 minutes because one hour is 60 and half an hour is 30 so, 120 + 60 = 150.

80 men construct a building in 10 months. How many men will construct a the same building in 8 months? Share with steps

Answers

Answer:

64 men

Step-by-step explanation:

80 men / 10 months = 8 men per month, so in 8 months, 64 men can construct the same building.

Help pleasseeeee!!!!


Which of the following statements is TRUE about using a quadrilateral to construct a parallelogram?

A. All sides of the quadrilateral must be congruent and all angles must be congruent?

B. Opposite sides of the quadrilateral must be parallel and opposite angles must be congruent.

C. The sides of the quadrilateral can be any length and the angles can be any measure.

D. Adjacent sides of the quadrilateral must be perpendicular and adjacent angles must be congruent.

Answers

Answer:

B. B. Opposite sides of the quadrilateral must be parallel and opposite angles must be congruent.

Answer: Opposite sides of the quadrilateral must be parallel and opposite angles must be congruent.

Step-by-step explanation:

If one pair of opposite sides of a quadrilateral are parallel and congruent, then the quadrilateral is a parallelogram. If both pairs of opposite angles of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

2,994 divided by 128 i need help

Answers

23.390625
That is your answer

Answer:

Divide 320 by 128 to get 2

23.39062

128| 2994.00000

256

____

434

384

_____

500

384

_____

1160

1152

____

80

0

___

800

768

_____

320

256

_____

64

Stopping at 5 decimal places

The solution for Long Division of 2994/128 is 23.39062

23.39062

If , the ratio of the length of to the length of is .

Answers

Given the ratio of 5 : 3, the length of the rectangle is 45 units

How to determine the length?

The ratio is given as:

Length : Width = 5 : 3

The perimeter is given as:

Perimeter = 144

The perimeter of a rectangle is:

Perimeter = 2 * (Length + Width)

So, we have:

2 * (Length + Width) = 144

Divide both sides by 2

Length + Width = 72

Recall that:

Length : Width = 5 : 3

Express as fraction

Length/Width = 5/3

Make Width the subject

Width = 3Length/5

Substitute Width = 3Length/5 in Length + Width = 72

Length + 3Length/5  = 72

Multiply through by 5

5Length + 3Length  = 360

This gives

8Length  = 360

Divide both sides by 8

Length  = 45

Hence, the length of the rectangle is 45 units

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ignore the numbers on top of the fruits but can someone help solve this?

Answers

Step-by-step explanation:

I don't know what the 3rd fruit is. let's call it an apple.

so,

1 apple + 3 cherries = 3 bananas

1 apple = 3 bananas - 3 cherries

1 banana + 2 cherries = 1 apple = 3 bananas - 3 cherries

5 cherries = 2 bananas

1 apple + 1 banana = (1 banana + 2 cherries) + 1 banana =

= 2 bananas + 2 cherries =

= 5 cherries + 2 cherries =

= 7 cherries

the numbers did not help, as they were wrong.

e.g. if you assume the apple = 5, a cherry = 1 and a banana = 2, you would get 8 = 6 on the first scale.

if you change the apple to a 3, that would make the first scale true (6 = 6), but the second scale wrong (4 = 3).

funny enough, the other answer got 7 nevertheless (but the wrong way - actually 2 mistakes balanced each other out).

it is 7 cherries, though !

the actual numbers would be e.g.

a cherry = 1

then

1 banana = 5/2 = 2.5

1 apple = 3×5/2 - 3 = 15/2 - 6/2 = 9/2 = 4.5

to get whole numbers, we could multiply all by 2 :

cherry = 2

banana = 5

apple = 9

and then the first balance :

9 + 3×2 = 3×5

9 + 6 = 15

15 = 15 correct

the second balance

5 + 2×2 = 9

9 = 9 correct.

Pls help will give brainilist

Answers

Answer:

$16.37

Step-by-step explanation:

They want to raise $463.72 and they already have $218.22 so if we subtract it

$463.72-$218.22=$245.50

we get $245.50 left to raise.

We have 15 teachers so we do

$245.50/15

we get 16.36 but we round it so we get $16.37.

distance between points (-4,4) and (4,-2)

Answers

Answer:

10 units

Step-by-step explanation:

calculate the distance using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 4, 4 ) and (x₂, y₂ ) = (4, - 2 )

d = [tex]\sqrt{(4-(-4))^2+(-2-4)^2}[/tex]

   = [tex]\sqrt{(4+4)^2+(-6)^2}[/tex]

    = [tex]\sqrt{8^2+36}[/tex]

    = [tex]\sqrt{64+36}[/tex]

    = [tex]\sqrt{100}[/tex]

     = 10

The quotient of 7 and the difference of a number and 8.

Answers

                    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]      

      ➪  What is the quotient of 7 and the difference of a number and 8?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]

         ➪ First, the word "quotient" indicates that we divide.

   ✳︎ Here, we are asked to divide 7 by the difference of a number and 8.

➪ The word "difference" indicates that we subtract.

        ✳︎ Here, we are asked to subtract  a number minus 8.

     

Let the number be x.

Since the difference of x and 8 means we subtract x minus 8, this expression looks as follows:-

         [tex]\texttt{x-8}[/tex]

  ◈     Now, we are also asked to find the quotient of 7 and the difference of a number and 8, which equals [tex]\bold{x-8}[/tex].

As I said earlier, the "quotient" means we divide, so we divide 7 by [tex]\bold{x-8}[/tex].

So we conclude that the expression is:-

7÷(x-8)

Good luck.

              - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

please help show work

Answers

Answer:

236854

Step-by-step explanation:

Relation between sugar and flour

18 teaspoons of sugar per 3 cups of flourRate : 18/3 = 6 teaspoons of sugar per cup of flour

Table

[tex]\left[\begin{array}{ccc}sugar(tsp)&flour(cups)\\12&2\\18&3\\36&6\\48&8\\54&9\end{array}\right][/tex]

Answer:

Step-by-step explanation:

Remark

The key to this question is the second entry. Numerically the sugar is divided by 6 to get the flour. Never mind the units. Just deal with the ratio itself.

Formula

Flour = Sugar / 6

Solution

Sugar = 12

Flour = 12/6 = 2

Flour = 18/6

Flour = 3

Flour = 6

6 = sugar/6               multiply by 6

6*6 = 6* sugar/6

36 = sugar

Sugar = 48

Flour = 48/6 = 8 cups of flower

Flour = 9

9 = sugar / 6

9*6 = sugar

Sugar = 54.

It takes Imani seven hours to dig a 10 ft by 10 ft hole. Stefan can dig the same hole in five hours. If they worked together how long would it take them

Answers

Answer:

2 hours and 44 min. or 2.7273 hours

Step-by-step explanation:

Ryan: 1 hole per 5 hours

Castel: 1 hole per 6 hours

x = time if working together then

x(1/5 + 1/6) = 1

x(6 + 5) = 30

11x = 30

x = 30/11

x = 2.7273 hours

or

x = 2 hours and 44 minutes

Which line is the best model for the data in the scatter plot?

Answers

Answer:

the top right (2) answer is probably what you'll want to go for, if this is incorrect then you have my deepest apologies

Step-by-step explanation:

What is the product? startfraction x squared minus 16 over 2 x 8 endfraction times startfraction x cubed minus 2 x squared x over x squared 3 x minus 4 endfraction

Answers

The product of the given expression is [tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex] OR [tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex] OR [tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]

Simplifying fractions

From the question, we are to determine the product of the given expressions

The given expressions are

[tex]\frac{x^{2} - 16}{2x+8}\times \frac{x^{3}-2x^{2} +x}{x^{2} +3x-4}[/tex]

[tex]\frac{(x+4)(x-4)}{2(x+4)}\times \frac{(x^{2} -x)(x-1)}{(x-1)(x+4)}[/tex]

[tex]\frac{(x-4)}{2}\times \frac{(x^{2} -x)}{(x+4)}[/tex]
[tex]\frac{(x-4)}{2}\times \frac{x(x-1)}{(x+4)}[/tex]

[tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex]

OR

[tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex]

OR
[tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]

Hence, the product of the given expression is [tex]\frac{x(x-1)(x-4)}{2(x+4)}[/tex] OR [tex]\frac{x(x^{2} -5x+4)}{2x+8}[/tex] OR [tex]\frac{x^{3} -5x^{2} +4x}{2x+8}[/tex]

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Here is the complete and correct question:

What is the product? StartFraction x squared minus 16 Over 2 x + 8 EndFraction times StartFraction x cubed minus 2 x squared + x Over x squared + 3 x minus 4 EndFraction

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Answer:

A. StartFraction x (x minus 4) (x minus 1) Over 2 (x + 4) EndFraction

Step-by-step explanation:

correct on edge :)

A rectangular pyramid has a volume of 492 cubic yards. if the base has a length of 18 yards and a width of 4 yards, what is the height of the pyramid?

Answers

Answer:

h = 20.5 yards

Step-by-step explanation:

Volume of Rectangular Pyramid: lwh/3

492 = (18) * (4) (h) /3

Multiply 3 on both sides

1476 = (18) (4) (h)

1476 = 72h

Flip the equation.

72h = 1476

h = 41/2 or 20.5 yards

QUESTION
Find 45% of 240.

Answers

Answer:

108

Step-by-step explanation:

Calculator

Answer:

108

Step-by-step explanation:

(45 * 240) / 100

(10,800) / 100 

108


Which values complete the function? f(x)=_(x-_)(x+_)

Answers

Answer:

the answer is b

Step-by-step explanation:

just took the test

Answer:

Step-by-step explanation:

-1

3

4

If you get a $50.00 raise in pay per month and your taxes also increase about $50.00 per month, how would you probably feel?

appreciated because you are getting rewarded for your hard work

satisfied because you broke even

proud because the government needs your money more than you do

resentful because it seems unfair

Answers

Answer:

i would say satisfied because you broke even. Because then you still work the same as you did, because before that you were breaking even every month. So you are not getting paid any extra

Step-by-step explanation:

A circle has a radius of 16 m. What is its circumference?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
16 m

Answers

Answer:

C=100.53 CM²

Step-by-step explanation:

Formula to the circumference of a circle is 2π·r

2π=6.28

6.28·16=100.53 CM²

list all the possible order you can have

Answers

wala ako pake sau

Step-by-step explanation:

wala ako pake sau

Russ walks 710 mile to school. How far has he walked when he has covered 58 of the distance to school?\

Answers

Answer: [tex]\frac{7}{16}[/tex]

Step-by-step explanation: Distance to school = [tex]\frac{7}{10}[/tex] mile

Distance covered = [tex]\frac{5}{8}[/tex] of [tex]\frac{7}{10}[/tex]

                      = [tex]\frac{5}{8}[/tex] x [tex]\frac{7}{10}[/tex]

                       = [tex]\frac{35}{80}[/tex]

                      = [tex]\frac{7}{16}[/tex]

I ALWAYS GIVE BRAINLIEST!!!!!!COME AND GET IT IF YOU WANT IT! ~20 POINTS AT STAKE!

Answers

Answer:
3rd answer
Step-by-step explanation:
because for the width of the first rectangle (27 cm) it is just 3 times larger for the width of the second rectangle (9 cm)

same for the length, 33cm is 3 timer larger

also sorry if its the other way around, i just call the ones that are like "______" length

Answer: C

Step-by-step explanation:

In a right triangle, a and b are the lengths of the legs and c is the length
of the hypotenuse. If a = 2 feet and b = 1 foot, what is c? If necessary,
round to the nearest tenth.
c =
feet

Answers

c=2.2feet

The solution in the attached file

Line A is represented by the equation given below: x + y = 2 What is most likely the equation for line B, so that the set of equations has infinitely many solutions? (1 point) a 2x + 2y = 2 b 2x + 2y = 4 c 2x + y = 2 d x + y = 4

Answers

The set of the equations x + y = 2 and 2x + 2y = 4 have infinitely many solutions, option (b) is correct.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

equation of the line:

x + y = 2

a) 2x + 2y = 2  ⇒ x + y = 1

b) 2x + 2y = 4 ⇒ x + y = 2

c) 2x + y = 2 ⇒ 2x + y = 2

d) x + y = 4 ⇒ x + y = 4

The given equation and equation (b) 2x + 2y = 4 ⇒ x + y = 2 has the same coefficient of x and y as well as same constant it means the set of the equations have infinitely many solutions

Thus, the set of the equations x + y = 2 and 2x + 2y = 4 have infinitely many solutions option (b) is correct.

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Order the following integers from least to greatest: -32, -43, -28, -22 and 13

Answers

Answer:

-22, -28, -32, -43, 13

Step-by-step explanation:

If it is after the digit 0 it will be less than any number above itself.

What is the area of the polygon in square units?

A four-quadrant graph with an irregular polygon with vertices at negative four comma eight, five comma eight, five comma two, nine comma two, twelve comma negative six, and negative four comma negative six.

Answers

The area of the Area  of the polygon is known to be 9 units². Find more about polygon below

What is the Area of a Polygon?

The area of a polygon is one that is defined as the measurement of the given area that is known to be covered by it.

Note that to calculate the area, it will be

Area = 1/2 (5 + 1) x 3 = 9 units²

Thus the answer of 9 units is correct.

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What is the value of z, rounded to the nearest tenth? use the law of sines to find the answer. 2.7 units 3.2 units 4.5 units 5.3 units

Answers

The triangle is a shape with 3 sides and angles. The value of z from the given figure to the nearest tenth is 3.2

Sine rule of triangle

The triangle is a shape with 3 sides and angles

From the given triangle, we will use the expression below to determine the value of z

2.6/sin51= z/sin76

simplify

z = 2.6sin76/sin51
z = 2.5227/0.7771

z = 3.246

Hence the value of z from the given figure to the nearest tenth is 3.2

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