The average final exam score for the statistics course is 77% and the standard deviation is 8%. A professor wants to see if the average exam score will be higher for students who are given colored pens on the first day of class. The final exam scores for the 17 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78 What can be concluded at the 0.05 level of significance

Answer:

[tex]x=-12[/tex]

Step-by-step explanation:

[tex]3x+5=2x-7[/tex]

Subtract 2x from each side,

[tex]x+5=-7[/tex]

Subtract 5 from each side to find x,

[tex]x=-12[/tex]

Answer:

About 11%

Step-by-step explanation:

45 divided by 5 = 9

100 divided by 9 = 11.11111 (It goes on forever)

Answer:

√3

Step-by-step explanation:

                               opposite side         (√3)/2

tan 60 degrees = ------------------------- = ------------ = √3

                                  adjacent side          1/2

Answer:

c is the only one that would result in an integer

Step-by-step explanation:

i hope this helps :)

Option c ∛ 27 would result in an integer.

An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.

Given here, ∛27= 3 while the other options ∛60 is not an integer because 60 is not  cubic number similarly for 9 , 18 are not cubic numbers and thus their subsequent cubic roots will not yield an integer.

Hence, Option c ∛ 27 would result in an integer.

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Answer:

x=6

Step-by-step explanation:

Answer:

1/30 ton of rock left

Step-by-step explanation:

1/3+ 1/2= 5/6

5/6 - 4/5= 1/30 ton of rock left at the construction site.

Answer:B

Step-by-step explanation:

Answer:

286 Degrees

Step-by-step explanation:

A circle is 360 degrees, and from the question, we know that it is asking for ACB, so it would be 360 - 74, which is 286 degrees

Brainliest Maybe?

Answer:

v^ 3 = 1000

so v = cube root of 1000

    v = 10

Answer: 47.5 or just 47

Step-by-step explanation: Well, to start, set up a ratio.

x / 50 = 95 / 100

95 * 50 is 4750

4750 / 100 is 47.5.

Now, it's asking how many questions he got correct. You can't get 47.5 questions correct, it should be a whole number. Now, I don't know how the rules work with that question, but it is like 47.

Answer:

55 students

Step-by-step explanation:

Just write down the answer.

Answer:

Step-by-step explanation:

Football: 500(.38)= 190

Basketball: 500(.25)= 125

55 students (65 students)

Answer:

38.7

Step-by-step explanation:

[tex]\frac{sinA}{A}=\frac{sinB}{B}=\frac{sinC}{C}[/tex]

A, B and C are the sides of the triangle and sinA, sinB and sinC are the opposing angles

[tex]\frac{sin95}{43}=\frac{A}{27}[/tex]

[tex]A = sin^{-1} (\frac{27*sin95}{43} )=38.72018809[/tex]

Answer:

i dont know i just want points

Step-by-step explanation:

>;)

Answer:

18

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. b. Alt. Exterior angles

  a. 7x + 8 = 6x + 18

   c.    x + 8 = 18

          x = 10

   d. 6(10) + 18 = 60 + 18 = 78

       7(10) + 8 = 70 + 8 = 78

2. 15x + 10 + 12x + 8 = 180

     same side angles

   27x + 18 = 180

   27x = 162

   x = 6

15(6) + 10 = 90 + 10 = 100 degrees

12(6) + 8 = 72 + 8 = 80 degrees

3. 12x + 2 = 11x + 6

    x + 2 = 6

    x = 4

12(4) + 2 = 48 + 2 = 50 degrees

11(4) + 6 = 44 + 6 = 50 degrees

corresponding angles

Answer:

x = 29

Step-by-step explanation:

We know that those two angles equal 180° so we combine those two equations and set them equal to 180°:

6x + 6 = 180°

Subtract 6 from both sides:

6x = 174°

Divide by 6:

x = 29

Area of the shaded region = area of big square minus area of little square.

Here is the set up:

Let A_s = area of shaded region.

A_s = (2x + 2)(3x - 4) - [(x - 3)(x - 6)]

Take it from here.

Answer:

B. 5x2 + 7x – 26

Step-by-step explanation:  keeping in mind that the area of a rectangle is simply width * length, if we get the area of the larger rectangle, and then subtract the area of the smaller rectangle, we're in effect making a hole in the larger rectangle's area and thus what's leftover is the shaded area.

.................................................................................................................................

Answer:

Area = 5x^2 +7x -26

Step-by-step explanation:

The area of the shaded region can be found if you substruct the small rectangle from the big one. The area of any rectangle is calculated if you multiply width and height.

In other words:

A_small = (x-3)(x-6) = x^2-9x +18

A_big = (2x+2)(3x-4) = 6x^2 -2x -8

A_big - A_small = (6x^2 -2x -8) - (x^2-9x +18)

= 6x^2 -2x -8 - x^2 + 9x -18

= 5x^2 +7x -26

Answer: I BELIVE it’s 60

Step-by-step explanation:

Answer:

First row of blanks: -3 -3

Second row of blanks: 2 2 3

Third row blank: 6

Step-by-step explanation:

x/2 + 3 = 6

The objective is to isolate the variable:

Subtract both sides by 3

x/2 = 3

Multiply both sides by 2

x = 6

Answer:

24 or 12

Step-by-step explanation:

Multiplication

Answer:

x ≈ 36.09

Step-by-step explanation:

Complete question

Use △DEF, shown below, to answer the question that follows: Triangle DEF where angle E is a right angle. DE measures x. DF measures 55. Angle D measures 49 degrees. What is the value of x rounded to the nearest hundredth? Type the numeric answer only in the box below.

According to the diagram

m<E = 90 degrees

m<D = 49 degrees

DF = 55 = hypotenuse

DE = x = adjacent

EF = opposite

According to SOH CAH TOA identity;

Cos theta = adj/hyp

Cos m<D = DE/DF

Cos 49 = x/55

x = 55cos49

x = 55(0.6561)

x = 36.0855

x ≈ 36.09 (to the nearest hundredth)

Answer:

x ≈ 36.09

correct on khan

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

i just kinda figured it out

Answer: z= -0.5

Step-by-step explanation: mean m=120 and deviation s=10.

Z = (x-m)/s= (115-120)/10

Answer: z=−1.1

Step-by-step explanation:

z=\frac{x-\mu}{\sigma}

z=

σ

x−μ

​

z-score formula

z=\frac{104-115}{10}

z=

10

104−115

​

Plug in values

z=\frac{-11}{10}

z=

10

−11

​

Subtract

z=-1.1

z=−1.1

Divide

Answer:

it does not form a triangle

Step-by-step explanation:

brainliest give me pls pls pls

Answer:

It forms a obtuse triangle

Step-by-step explanation:

Because two sides are the same.

Step-by-step explanation:

54, 54, 72

[tex]180 - 2 \times 54 = \\ = 180 - 108 = \\ = 72[/tex]

Step-by-step explanation:

2.) -20× + 24

maaf kalo salah

Answer:

The perimeter to the question is 30.

Step-by-step explanation:

.

[tex]3 + 3 + 3 + 3 + 9 + 9 \\ 6 + 6 + 18 \\ 12 + 18 \\ 30[/tex]

An edge is formed when two faces come together. The number of edges in the given solid is 18.

An edge is formed when two faces come together. A cube, for example, has 12 edges, a cylinder has two, and a spherical has none.

The number of edges in the given solid is 18.

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