Suppose that the mean GPA (grade point average) for a random sample of all seventh graders at your school is 3.25 and the mean GPA for a random sample of all eighth graders at your school is 2.85. Explain why this does not tell us that the mean GPA of all seventh graders at your school is different from the mean GPA of all eighth graders at your school.

Answer:

3/5

Step-by-step explanation:

Concepts + Application + Solution

We can write the probability of this event happening like this:

For recap, a prime number is a number that's greater than 1 whose only factors are 1 and itself. Take the number 7 for example; its factors are only 7 and 1.

Given this information above, let's find the prime numbers in the spinner.

As you can see, we have 3/5 numbers that are prime, making the probability of landing on a prime number 3/5.

Write tan in terms of sin and cos.

[tex]\displaystyle \lim_{t\to0}\frac{\tan(6t)}{\sin(2t)} = \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)}[/tex]

Recall that

[tex]\displaystyle \lim_{x\to0}\frac{\sin(x)}x = 1[/tex]

Rewrite and expand the given limand as the product

[tex]\displaystyle \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)} = \lim_{t\to0} \frac{\sin(6t)}{6t} \times \frac{2t}{\sin(2t)} \times \frac{6t}{2t\cos(6t)} \\\\ = \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right)[/tex]

Then using the known limit above, it follows that

[tex]\displaystyle \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right) = 1 \times 1 \times \frac3{\cos(0)} = \boxed{3}[/tex]

Answer:

97%

Step-by-step explanation:

Answer:

-2/3

Step-by-step explanation:

[tex]= 1 \frac{2}{3} - 2 \frac{1}{3}\\=\frac{1 * 3 + 2}{3} - \frac{2 * 3 + 1}{3} \\= \frac{5}{3} - \frac{7}{3}\\ = \frac{5 - 7}{3} \\\\= \frac{-2}{3}[/tex]

[tex]12\sqrt{23 x^{13}}+14\sqrt{23 x^{13}}\\\\=(12+14)\left(\sqrt{23 x^{13}}\right)\\\\=26\left(\sqrt{23 x^{13} }\right)\\\\=26\sqrt{23} \sqrt{x^{13}}\\\\=26\cdot 23^{\tfrac 12} \cdot x^{\tfrac {13}2}[/tex]

Answer:

The equation is 3x²-6x+5

54

Step-by-step explanation:

Find the area of on side of the cube...it's a cube so all sides are the same

3x3=9

multiply the area of one face by the number of faces, 9x6=54

Step-by-step explanation:

that is in this case totally simple :

both points have the same x value.

that means they are both on the same vertical line at x = 6.

so, we only need to calculate the y difference, and that is then their distance :

1 - -3 = 1 + 3 = 4

the distance is 4 units.

Total apples.

Total oranges

Total peaches

Total fruits

Answer:

130

Step-by-step explanation:

We have given in the question 'she put 10 apples into each of 4 baskets.

we have to Multiply 10 with 4

=> 10 × 4

=> 40 Apples

Similarly, in the case of oranges we have to Multiply 10 with 3

=> 10 × 3

=> 30 Oranges

Same method will be followed to find the number of peaches that she picked .

=> 12 × 5

=> 60 Peaches

Total fruits Amber picked = Number of apples + Number of oranges + Number of peaches

=> Total fruits = 40 + 30 + 60

=> Total Fruits = 130 .

Answer:

11

Step-by-step explanation:

3(2) - (3(3) + 2) + 16

6 - (9 + 2) + 16

6 - 11 + 16

11

good luck, hope this helps :)

Answer:

Number of different options for Ms. Garcia are

3 * 2 * 8 = 48

So 48 options

Step-by-step explanation:

There are m ways to make 1st selection and n ways to make 2nd selection and p ways to make 3rd selection so thats why I did (m * n * p)

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

          Which expression has least value when x=100?

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

Substitute 100 for x and solve:-

[tex]\bold{\dfrac{1}{100}}[/tex]

[tex]\bold{\dfrac{10}{100}}[/tex]

[tex]\bold{1-100=-99}[/tex]

[tex]\bold{10-100=-90}[/tex]

Since -99 is the smallest number here, the expression with the least value when x=100 is Option C - [tex]\checkmark\dashrightarrow\boxed{\boxed{1-x}}}\dashleftarrow\checkmark[/tex]

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

Answer:

8

Step-by-step explanation:

To get a fraction of a number, we will simply multiply this fraction by the number.

Answer:

x = 27

Step-by-step explanation:

Finding variation constant :

Substituting in the equation y = kx, where y = 54 :

Your answer is 62.8

Have a good day

The volume of five volleyballs is 26310.15 cubic cm if the volleyball has a surface area of 1465 square cm.

It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.

We know the surface area of the sphere is given by:

SA = 4πr²

1465 = 4πr²

r = 10.79 cm

Volume of the sphere = 4πr³/3

V = 4π(10.79)³/3

V = 5262.03 cubic cm

Volume of five volleyballs = 5×5262.03 = 26310.15 cubic cm

Thus, the volume of five volleyballs is 26310.15 cubic cm if the volleyball has a surface area of 1465 square cm.

Learn more about the sphere here:

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Answer:

sqrt (65) = 8.062 units  =  x

Step-by-step explanation:

use Pythagorean theorem for a right triangle

a ^2 + b^2 = c^2     where a   and  b   are the legs and c is the hypotenuse

4^2   + x^2   = 9^2

x^2 = 9^2 - 4^2

x^2 = 65

x = sqrt 65

Answer:

c

Step-by-step explanation:

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

        What is the circumference of a circle with a radius of 3 and a diameter of 14?

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

[tex]\bold{Circumference_{(circle)}=\pi d}[/tex]

First, we multiply the radius times 2 in order to get the diameter (the radius is exactly one-half of the diameter).

Now, we substitute 6 (3•2) for d:-

[tex]\sf{C=\pi *6}[/tex]            [π=3.14]

[tex]\bigstar[/tex]On simplification,

[tex]\sf{C=3.14\times6}[/tex]

[tex]\bigstar[/tex] Which results in

[tex]\sf{C=18.84\:cm}[/tex]

                 [tex]\rule{200}{2}[/tex]

Now, let's find the circumference of a circle whose diameter is 14:

[tex]\sf{C=\pi d}[/tex]

Substitute 14 for d:-

[tex]\sf{C=14\pi }[/tex]                   Next, substitute 3.14 for pi:-

[tex]\sf{C=14\times3.14}[/tex]

[tex]\bigstar[/tex] Which results in:-

[tex]\sf{C=43.96\:units}[/tex]

         [tex]\rule{290}{2}[/tex]

Perimeter is a measure of the area or distance around a two-dimensional shape. On a rectangle, for instance, the perimeter is the total length of the rectangle's outline, including the two widthwise borders and the two lengthwise borders.

To determine the perimeter of a shape, therefore, you add together all the dimensions that make up the shape's outer edge. Being able to find the perimeter of a shape has many applications in the real world. Say, for example, that you wanted to build a fence around your backyard. In order to purchase materials, you need to know how much fencing you'll need, and to determine that you have to figure out the perimeter of the area you want to fence in.

Answer:

Step-by-step explanation:
Surprise! It is the closest to the noun " astounded "

Answer:

surprise

Step-by-step explanation:

(20/400)×100

5%

hope it helps...!!!

Answer:5%

Step-by-step explanation:

40 is 10% so then you half that which is 20=5%

Answer:

720

Step-by-step explanation:

Answer: H

Step-by-step explanation:

Answer:

Hii.. The answer of the volume is 300.74 cm

And the surface area is 269.34 cm

Answer:

V=6.7×6.7×6.7

=300.763 cm^3

SA=6×6.7×6.7

=269.34 cm^2

Using the corresponding angles theorem, the value of x is 150°

From the question, we are to determine the value of the angle marked x°

From the diagram,

The angle that supplements the angle marked 30° is corresponding to angle x

Since corresponding angles are equal

Then, we can write that

∴ x = 180° - 30°

x = 150°

Hence, the value of x is 150°

Learn more on Calculating measures of angles here: https://brainly.com/question/11726925

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Step-by-step explanation:

your teacher was very nice and warned you about the trap in the question.

so, really, what do we have to do ?

a full circle represents 360°.

the shaded sector is the full circle minus the white sector !

this is the same as directly calculating the shaded sector for 360-75 = 285°.

so, the area of a circle is

pi×r²

in our case

pi×20² = 400pi

the needed fraction of the whole circle is either

75/360, if we want to subtract it for the solution

or

285/360, if we want to calculate the solution directly.

both lead to the same result.

400pi×360/360 - 400pi×75/360 =

= 400pi × 285/360 = 10pi × 285/9 = 2850pi/9 =

= 316.6666666...pi ≈ 316.7pi

The area of square x will be one-fourth of the area of square y. Then the correct option is C.

It is a polygon with four sides. The total interior angle is 360 degrees. A square's opposite sides are parallel and all sides are equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

There are two squares.

The perimeter of square x is half the perimeter of square y.

Let the side of the square x be a and the side length of the square y be b. Then we have

Perimeter x = Perimeter y / 2

              4a = 2b

              2a = b

Then the area of the square x will be

Area of square x = (2a)²

Area of square x = 4a²

Then the area of the square y will be

Area of square x = (b)²

Area of square x = b²

Then the area of square x will be one-fourth of the area of square y.

Thus, the correct option is C.

More about the square link is given below.

https://brainly.com/question/13747846

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The domain of the expression is a real number except 1 and the range of the expression is also a real number.

The domain means all the possible values of x and the range means all the possible values of y.

The expression is given below.

(3x² + x - 4) / (x - 1)

The expression can be written as

(3x² + 4x - 3x - 4) / (x - 1)

[(3x + 4)(x - 1)] / (x - 1)

3x + 4

The domain of the expression is a real number except 1 and the range of the expression is also a real number.

More about the domain and range link is given below.

https://brainly.com/question/12208715

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The situation in which the linear function y = 5x + 10 can be applied is given by:

C. The total wages earned by a waiter who is paid $5 per hour and earns $10 in tips.

A linear function is modeled by:

y = mx + b

In which:

In this problem, we want a function with a slope of 5(rate of change), and an y-intercept of 10(initial quantity), hence option C is correct.

More can be learned about linear functions at https://brainly.com/question/24808124

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