A school administrator claims that the average GPA of Which explanations are justified based on the evidence
the senior class is 3.53. You think that the average GPA you obtained? Check all that apply
is greater than that, so you select a random sample of
100 seniors and calculate their average GPA. The
It is possible that the population mean is 3.53, but
sample mean GPA is 3.70
the sample result is greater than that due to
You have some evidence that the mean GPA may be
sampling variability
greater than 3.53 because the sample mean of your It is possible that the school administrator made a
random sample is 3.70.
mistake, and the population mean is greater than
3.53
The fact that the sample mean is greater than the
claimed population mean proves that the average
GPA of the senior class is greater than 3.53
The sample mean of 3.70 cannot be correct
because the claimed population mean is 3.53.
The population mean of 3.53 cannot be correct
because the calculated sample mean is 3.70
Done

Answer:

?????????

Step-by-step explanation:

wheres the equation

Answer:

x = 49

Step-by-step explanation:

Let's solve for x in the first triangle by applying the leg rule.

Leg rule is given as: hypotenuse/leg = leg/part

Hypotenuse = x

Leg = 28

Part = 16

Plug in the values into the equation

x/28 = 28/16

Cross multiply

x*16 = 28*28

16x = 784

x = 784/16

x = 49

✔️Let's check our answer to see if we would get the same value of x for the other triangle. Apply the same leg rule.

Hypotenuse = x

Leg = 21

Part = 9

Thus:

x/21 = 21/9

Cross multiply

x*9 = 21*21

9x = 441

x = 441/9

x = 49

✔️We have the same value. Therefore, x = 49 is the correct answer.

Answer:

A.) The reaper separated cotton fibers from cotton seed much faster than the manual

method used earlier.

B.) The reaper made it possible to communicate very quickly across a wire.

C.) The reaper replaced the old method of sewing clothes by hand.

D.) The reaper could cut grain much faster than the older method of harvesting by hand

with a scythe.Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Um so what I did was 15/5=3 and 14/7+2

So for the first group of men, 2 groups. TIMES 3.

Equals 6 options

Answer:

P(15) = (200,000)(1.08)15 = 634,434

Step-by-step explanation:

If the population at the beginning of 2000 was 200,000

Then the growth equation is P = Po(1.08)(y)     where year year 2000 was year 1 or y = 1

At the end of 2015 or  2015-2000 = 15 years later, or at the end of the 15th year

Answer:

I'm not going to lie I'm not 100% sure but I think it's c

Answer:

D

Step-by-step explanation:

4x=4+2y

3y=5+2x

Answer:

Step-by-step explanation:

cost = 12,000

list price = 1.30×12,000 = 15,600

discounted price = 0.80×15,600 = 12,480

purchase price = (1+VAT)×12,480 = 14,102.40

1+VAT = 14,102.40/12,480 = 1.13

VAT = 0.13 = 13%

Answer:

Just convert the number to the third digit and the answer will be b

Answer:

three thousand five hundred seventy nine

Step-by-step explanation:

Answer:  yes

Step-by-step explanation:

yes because it's nagitve and not positive so that means that so lost money so she got's to give them money back.

Answer:

We know,

Area of triangle = 1/2 * b * h

= 1/2 * 2x * 3x

= 1/2 * 6x

= 3x

Hope it helped

All the best !!

The area of the given triangle is 3x².

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

Given a triangle.

Area of a triangle can be found using the formula,

Area = [tex]\frac{1}{2}[/tex] × base × height

Given,

Base = 3x and height = 2x

So using the formula,

Area = [tex]\frac{1}{2}[/tex] × 3x × 2x

        = 3x × x

        = 3x²

Hence the area of the triangle is 3x².

Learn more about Area of Triangle here :

https://brainly.com/question/27683633

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Answer:

s = 16.2 units

Step-by-step explanation:

s^2 = 15^2 + 6^2   (6 is 1/2 of 12)

s^2 = 225 + 36

s^2 = 261

s = 16.16

Answer:

Slope = -1

Step-by-step explanation:

The equation we use for slope is as follows:

m = (y2 - y1) / (x2 - x1)

The graph gives us four points, but we only need two to solve our equation: (-2,5) and (2,1)

Now, we need to define which variable goes with which point:

Y2 = 1

X2 = 2

Y1 = 5

X1 = -2

If we plug these into our equation we get the following:

m = (1 - 5) / (2 - -2)

m = (-4) / (-4)

m = -1

Our slope for this graph = -1

I hope this helps!

-TheBusinessMan

Answer:

the answer is 59

Step-by-step explanation:

your welcome

Answer:

1.ASA

2.AAS

3.?

4.ASA

5.SSS

6.SSS

7.ASA

Answer:

18.5%/10×100

185

2155-185

1970

now pls round off cause I don't understand 2dp

Answer:

L= 15

W= 25

Step-by-step explanation:

w(w-10) =375

w^2-10w-375=0

w=25 or -15

Length=25-10 =15

The length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.

It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

Let L and W be the length and width of the rectangle.

The area of the rectangular field is 375 square yards

W = 10 + L

As we know,

Area = LW

375 = L(10 + L)

375 = 10L + L²

L²+ 10L - 375 = 0

After solving the above quadratic equation:

L = 15 yards

L = -25 (length cannot be negative)

Plug L in the equation W = 10 + L to get the width of the rectangular field

W = 10 + 15

W = 25 yards

Thus, the length and width of the rectangle field are 15 yards and 25 yards if the surface covered by a rectangular field is 375 square yards.

Learn more about the rectangle here:

https://brainly.com/question/15019502

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Answer:

Step-by-step explanation:

There is an error in the question. The table does not show two linear functions.  y₁ is a linear function, but   y₂ is not a straight line. It makes a bend at (-6,1).

Line 1 goes through (-12,-3) and (0,5).

slope  = (5-(-3))/(0-(-12)) = 2/3

y-intercept = 5

y₁ = (2/3)x + 5

Line 2 goes through (-12,-2) and (-6,1).

slope = (1-(-2))/(-6-(-12)) = 1/2

y₂ = (1/2)x + 4

(2/3)x + 5 = (1/2)x + 4

x = -6

y = (2/3)x + 5 = 1

Solution: (-6,1)

Answer:

12 years if interest is paid yearly

12 months if interest is paid monthly

Step-by-step explanation:

2.75% of $1500 is $41.25 interest per period

$1995-$1500 = $495 total interest

$495 ÷ $41.25 = 12 periods

Therefore it takes 12 interest periods to reach $1995, so the answer is 12 months or 12 years depending on how often interest is paid.

Answer:

118.71$

Step-by-step explanation:

First multiply the second ( ) with 3x then multiply it with -2 and add them together So

(3x-2)(5x^2-3x+1)

=3x(5x^2-3x+1)+ -2*(5x^2-3x+1)

=15x^3-9x^2+3x -10x^2+6x-2

=15x^3-19x^2+9x-2

Done!

Answer:

80%

Step-by-step explanation:

80÷64= 0.8

0.8 = 80%

You just need to divide the number of students that play sports by the total number of students and you'll get your answer

Answer: (8, 6) is located at Area A.

Step-by-step explanation:

The first number inside the parentheses can be found on the x-axis. The second on the y-axis.

Answer:

Step-by-step explanation:

From the given information:

The uniform distribution can be represented by:

[tex]f_x(x) = \dfrac{1}{1500} ; o \le x \le \ 1500[/tex]

The function of the insurance is:

[tex]I(x) = \left \{ {{0, \ \ \ x \le 250} \atop {x -20 , \ \ \ \ \ 250 \le x \le 1500}} \right.[/tex]

Hence, the variance of the insurance can also be an account forum.

[tex]Var [I_{(x}) = E [I^2(x)] - [E(I(x)]^2[/tex]

here;

[tex]E[I(x)] = \int f_x(x) I (x) \ sx[/tex]

[tex]E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250) \ dx[/tex]

[tex]= \dfrac{1}{1500 } \dfrac{(x - 250)^2}{2} \Big |^{1500}_{250}[/tex]

[tex]\dfrac{5}{12} \times 1250[/tex]

Similarly;

[tex]E[I^2(x)] = \int f_x(x) I^2 (x) \ sx[/tex]

[tex]E[I(x)] = \dfrac{1}{1500} \int ^{1500}_{250{ (x- 250)^2 \ dx[/tex]

[tex]= \dfrac{1}{1500 } \dfrac{(x - 250)^3}{3} \Big |^{1500}_{250}[/tex]

[tex]\dfrac{5}{18} \times 1250^2[/tex]

∴

[tex]Var {I(x)} = 1250^2 \Big [ \dfrac{5}{18} - \dfrac{25}{144}][/tex]

Finally, the standard deviation  of the insurance payment is:

[tex]= \sqrt{Var(I(x))}[/tex]

[tex]= 1250 \sqrt{\dfrac{5}{48}}[/tex]

≅ 404

what formula is applied, I mean what method

Answer:

B

Step-by-step explanation:

We have the equation:

[tex]x^2+10x+24=0[/tex]

We can factor:

[tex](x+6)(x+4)=0[/tex]

By the Zero Product Property:

[tex]x+6=0\text{ or } x+4=0[/tex]

Solve:

[tex]x=-6\text{ or } x=-4[/tex]

-4 is greater than -6, so -4 is the greater root.

Our answer is B.

Answer:

h(x) = (x + 4)^2 - 2

Step-by-step explanation:

Start with the red graph:  f(x) = x^2

First we move the entire graph 4 units to the left.  The resultant function is g(x) = (x + 4)^2.

Next, we move this latest graph 2 units down.  The resultant function (and answer to this question) is h(x) = (x + 4)^2 - 2