The average height of 18-year-old American women is 64.2 inches. You wonder whether the mean height of this year's female graduates from your local high school is different from the national average. You measure an SRS of 78 female graduates and find that x¯¯¯ = 63.1 inches. What are your null and alternative hypotheses? Note: Type in "mu" as the substitute for μ and "!=" for ≠.

Answer:

[tex]26M + 56D = 2278[/tex] ---- equation 1

[tex]M = 3D[/tex] ---- equation 2

A microscope costs S51 and a dissection kit costs S17

Step-by-step explanation:

Given

Represent microscope with M and Dissection kits with D

Cost:

[tex]M = 3D[/tex]

[tex]Total = 2278[/tex]

Required

Represent as an equation:

To do this, we represent the equation in terms of cost and quantity

In terms of cost, we have:

[tex]26M + 56D = 2278[/tex] ---- equation 1

and

[tex]M = 3D[/tex] ---- equation 2

Substitute 3D for M in equation 1

[tex]26*3D + 56D = 2278[/tex]

[tex]78D + 56D = 2278[/tex]

[tex]134D = 2278[/tex]

Divide both sides by 134

[tex]D = \frac{2278}{134}[/tex]

[tex]D = 17[/tex]

Substitute 17 for D in [tex]M = 3D[/tex]

[tex]M = 3 * 17[/tex]

[tex]M = 51[/tex]

Hence:

A microscope costs S51 and a dissection kit costs S17

Answer:

$2.16 per pound

Step-by-step explanation:

First, you would need to divide the price by the amount

$12.96 / 6 lbs = $2.16 per pound

That is the unit price

Answer:

The card could have been 50% an even number and 25% for a queen

Step-by-step explanation:

Answer:

There is no picture, or diagram with the question, but 1/6 = 2/12

Answer:

2/12

Step-by-step explanation:

1/6 * 2 = 2/12

Multiply both numerator and denomanotor

Answer:

there is no number to plug into x cause you can't have a negative number if it is absolute value cause that makes everything positive

Answer:

3x-14=2x+10

add 14 to both sides

3x-14+14=2x+10+14

3x=2x+24

subtract 2x from both sides

3x-2x=2x+24-2x

x=24

Plug x into the equations

3(24)-14=58

2(24)+10=58

they are the same angle

B=122

58-180=122

116-360=244

244/2=122

I hope this is good enough:

Answer:

X=24

Step-by-step:

3x-14=2x+10

add 14 to both sides

3x-14+14=2x+10+14

3x=2x+24

subtract 2x from both sides

3x-2x=2x+24-2x

=24 deg

Answer:1. The third stage it did the addition first not the division and number two the first stage u need to do the problem on the parenthesis first .

Step-by-step explanation:

Answer:

12x^2 - 7x - 10

Simplify, or in other words...multiply them

Answer:

Yo The answer is A,C,E or 0, 9x2y, and 4xy3

Step-by-step explanation:

Got it right on Edge. Good luck

Answer: A, C, E

Step-by-step explanation:

Answer:

f(x) = 8 - 1.5x

Step-by-step explanation:

Here, we want to write a function that can be used to describe the x th term of the sequence

Mathematically, this can be calculated by looking at the numbers in the sequence

The difference between each successive term

is -1.5 ( 6.5-8, 3.5 -5)

So the formula for then x th term will be;

f(x) = 8 - 1.5x

where x refers to the number of the term , for example the 4th term

Answer:

-1.5x+9.5

Step-by-step explanation:

-1.5(1)+9.5=8

-1.5(2)+9.5=6.5

-1.5(3)+9.5=5

and so on....

Step-by-step explanation:

3.5

1

-7.14

1

1/5

6.5

sorry if this and are wrong

Answer:

Step-by-step explanation:

Rational number. An rational number is simply a number of arithmetic: a whole number, fraction, mixed or decimal; together with its negative image.

Answer:

3.67

Step-by-step explanation:

the equation is 3x + 5= 16

do 16 - 5 to get 11

next do 11 divided by 3 to get 3.67

hope this helps :)

this answer may be incorrect because the answer was really 3.66666666667

Answer:

3.645

Step-by-step explanation:

4.760-0.015=3.645

Answer:

4

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

You can multiply the numerator by 5 to get the answer of 15/8 which when simplified comes to 1 7/8 teaspoons. 8 goes into 15 one time with 7 left over

Hope i explained everything thoroughly!  

Answer:

6.5x and 3.05x were adding incorrectly.

Step-by-step explanation:

The answer to adding those two numbers would be 9.55x

Answer:

error is in step A. 6.5x and 3.05x do not combing to 10x. instead, it should be 9.55x

Answer:

8 and 5

Step-by-step explanation:

8 plus 5 is 13 and 8 minus 5 is 3

Answer:

c because an open doesnt mean its guaranteed but it starts at closed.

Answer:

why does m what????

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The function that could represent this situation is f(x ) = |42.67 – x| (Option C).

The process of quality control helps a producer to ensure that the correct standard is  maintained in the production of goods. It involves the testing of products to ensure that they conform to specifications.

Now we are told that factory wants to ensure that the discrepancy in diameter is not more than 0.002 mm. Since the discrepancy could be above or below the given value then it follows that the function that could represent this situation is f(x ) = |42.67 – x| (Option C).

Learn more about quality control:https://brainly.com/question/1674784

#SPJ9

Answer:

The equation 1/8(x+16)=76/8 represents the situation, where x is the food bill.

The solution x=60 represents the total food bill.

Step-by-step explanation:

As in the question it is mentioned that there is eight group of friends and the total amount incurred is $76 that also involved $16

Now let us assume the food bill be x

So the equation would be

(x + 16) ÷ 8 = 76 ÷ 8

(x + 16) ÷ 8 = 9.5

x + 16 = 9.5 × 8

x = 76 -16

x = 60

So, the bill of food is 60

As per the given options, the above two statements should be selected

Answer:

five plus five plus five

Step-by-step explanation:

This is in wording

Answer:

Lots of ways

Step-by-step explanation:

5x3

5(3)

5+5+5

10+5

Answer:

You can find it on her profile, in the questions section.

Step-by-step explanation:

Tap her profile picture, which will take you to her profile.

Tap the questions bar, which should lead you to all questions she has posted.

Lastly, tap the question you want! It should show you the date or time it was posted.

A brainiest is this doggo's bone!

Answer:

Step-by-step explanation:

(2 , 0)  ; (0, 1)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\[/tex]

          [tex]= \frac{1-0}{0-2}\\\\=\frac{1}{-2}\\\\\\=\frac{-1}{2}[/tex]

m = -1/2 ; (2 , 0)

Equation of the line : y - y1 = m(x - x1)

                                  [tex]y - 0 = \frac{-1}{2}(x-2)\\\\ y = \frac{-1}{2}x - 2*\frac{-1}{2}\\\\\\ y = \frac{-1}{2}x+1[/tex]

slope = (-1/2)

y - intercept = 1

Answer:

Paint required will be 2.06gallons

Step-by-step explanation:

The given dimensions are

Height - 8ft

Width - 7 [tex]\frac{11}{12}[/tex] = 7.9ft

Length - 9. 83ft

To calculate the the amount of paint required to paint the walls we need to find the area of the walls

wall 1  = height * width of room= 8 * 7.9 = 63.28[tex]ft^2[/tex]

wall 2 = height * length = 8*9.83 = 78.64 [tex]ft^2[/tex]

The total area of the 4 walls will be = 2*(63 .28+78.64)= 283.84[tex]ft^2[/tex]

ceiling area = 77.66[tex]ft^2[/tex]

total area to be painted = 283.84 + 77.66 = 361.50[tex]ft^2[/tex]

One gallon of paint covers 350 [tex]ft^2[/tex] of area

so 361.50 [tex]ft^2[/tex] area will be covered by = 361.5/350 = 1.03gallons of paint

also we need two coating so the paint required will be = 1.03 * 2 =2.06gallons

Answer:

As the number of week increases, the Andre's savings also increases

Step-by-step explanation:

Given

The attached graph

Required

Explain what the slope represents (Missing part of the question:)

First, we'll check the slope of the graph.

Represent time in weeks with x and savings in dollar with y

So, we have the following details:

[tex](x_1,y_1) = (0,40)[/tex]

[tex](x_2,y_2) = (8,80)[/tex]

Slope (m) is then calculated as thus:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{80 - 40}{8 - 0}[/tex]

[tex]m = \frac{40}{8}[/tex]

[tex]m = 5[/tex]

The calculated slope is positive and this implies that: As the number of week increases, the Andre's savings also increases

Answer:

5

Step-by-step explanation: