A survey was conducted on 800 students regarding the number of automobiles in their household. The population mean is 2.7 automobiles with a standard deviation of 0.7.

Which statement is true?
A.
There is a 95% certainty that the sample mean will fall within the interval 2.68 to 2.72.
B.
There is a 95% certainty that the sample mean will fall within the interval 2.67 to 2.73.
C.
There is a 95% certainty that the sample mean will fall within the interval 2.62 to 2.77.
D.
There is a 95% certainty that the sample mean will fall within the interval 2.65 to 2.75.

Answer:

mean=17, median=12

Step-by-step explanation:

Mean=36+18+12+10+9=85÷5

=17

Median=9+10+12+18+36

=12

Answer:

High top pairs- 45

Low top pairs- 15

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

answer is 3

Step-by-step explanation:

add 5 minus 10

Answer: Approximately 20 miles per gallon

Step-by-step explanation:

The line of best fit is an approximate average. In order to predict the fuel efficiency you just estimate the place where x = 4800 and see what the y value of the line is for that point. In this case it's around 20 miles per gallon.

Answer:

So the length will be the same as the length of the torso

Answer:

14 units

Step-by-step explanation:

Answer:

it 5

Step-by-step explanation:

15-10= 5 so r=5

Answer:

The value of r will be 5.

Step-by-step explanation:

15=r+10

15-10=r

5=r

Answer: 20.8

Step-by-step explanation:

Since it is an equilateral triangle, we know the bottom is also 24. We also know that line E is bisecting the base. So using the smaller right triangle we know that the hypotenuse is 24 and one leg is 12. So use the Pythagorean theorem.

[tex]a^{2} +b^{2} =c^{2} \\12^{2} +b^{2} =24^{2} \\144+b^{2} =576\\b^{2} = 432\\b= 20.8[/tex]

Answer:

B

Step-by-step explanation:

The y-intercept is 3 and the parabola is facing down which means the x^2 has to be negative.

Answer:

5/12 I think?? Hope this helps!

Answer:

x

Step-by-step explanation:

x/y / 1/y =

x / 1 x y / y =

x / 1 x 1 =

x

Hope that helps!

-Sabrina

Answer:

Step-by-step explanation:

x=3

Answer:

[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Step-by-step explanation:

From Newton's law of universal gravitation, the force of attraction between two objects of masses [tex]M_{1}[/tex] and [tex]M_{2}[/tex] is given as:

[tex]F_{g}[/tex] = [tex]\frac{GM_{1} M_{2} }{r^{2} }[/tex]

Thus, cross multiply to have;

[tex]F_{g}[/tex][tex]r^{2}[/tex] = G[tex]M_{1}[/tex][tex]M_{2}[/tex]

then divide through by G[tex]M_{2}[/tex] to have,

[tex]M_{1}[/tex] = [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Therefore, [tex]M_{1}[/tex] can be expressed in terms of [tex]F_{g}[/tex], [tex]r^{2}[/tex], G, [tex]M_{2}[/tex] as [tex]\frac{F_{g}r^{2} }{GM_{2} }[/tex]

Answer:

0.75

Step-by-step explanation:

what you do is divde 3 by 4 which equals to 0.75

Answer:

75%

Step-by-step explanation:

If your rounding 2 decimals. Hope this helps!

Answer: C

Step-by-step explanation:

In 2 games the team had zero runs

In 1 game the team had one run

In 1 game the team had two runs

In 3 games the team had three runs

In 2 games the team had four runs

In 1 game the team had five runs

Answer:

A

Step-by-step explanation:

Hello There!

First thing we notice is that the y intercept is at (3,0) meaning that they have some sort of fee that has a charge of 3 dollars (represented by the 3)

Because the fee is 3 dollars we can immediately eliminate answers B and C

Now we want to find the charge for each bag of Potpourri (this can be represented by the slope)

Once again we want to choose two points on the line and plug it in into the slope formula

the points are optional but i have chosen the points (1,4.5) and (2,6)

*plug it into the slope formula*

[tex]slope=\frac{6-4.5}{2-1} \\6-4.5=1.5\\2-1=1\\slope =\frac{1.5}{1} or1.5[/tex]

so we can conclude that the charge per bag of potpourri is $1.50 leading us to answer choice A  

Answer:

8

Step-by-step explanation:

Given data

Volume of large box= 1000cm^3

Dimension of small box

L=5cm

W=5cm

H=5cm

Volume of small box= 5^3

V=125cm^3

Hence the number of small box that can fill the large box is

=1000/125

=8

Answer:

The slope of the line is 1

Step-by-step explanation:

Answer:

B is the answer

Step-by-step explanation:

Since there is already a 90 degree angle in the right triangle, the other two angles must add up to 90.

[tex]3x + 6 + 2x - 1 = 90[/tex]

[tex]5x + 5 = 90[/tex]

[tex]5x = 85[/tex]

[tex]x = 17[/tex]

Plug 17 into both to find the smaller angle

[tex]3(17) + 6 = 57[/tex]

[tex]2(17) - 1 = 33[/tex]

[tex]33 < 57[/tex]

So 33 is the answer or B

Answer:

The surface area is 900cm^2

Step-by-step explanation:

Multiply 3 and 10 to get 30

Then square 30 by multiplying 30 x 30, to get 900.

Answer:

The Surface of the area is 30.

Step-by-step explanation:

Multiply 3 and 10. And you get 30. Hoped this helped : )

Answer: (5, 7)

Step-by-step explanation: Midpoint formula is ((x1 + x2)/2, (y1+y2)/2) where (x1, y1) and (x2, y2) are points on a line. Thus

(3+7/2, 8+6/2) = (5, 7)

Answer:

There is no solution, though the lines are confirmed as dashed with the shaded area being on the outer sides.

Step-by-step explanation:

above

Answer:

30

Step-by-step explanation:

the street and the diameter of the bike are not measured in the same units. We have to convert them to the same units

1 feet = 12 inches

157 x 12 = 1884

circumference of a circle = 2nr

2 x 3.14 x 10 = 62.8 in

Number of revolutions = 1884/62.8 = 30

Answer: 108$

Step-by-step explanation: