The rectangular box can be constructed from the pattern above. The box has a length of 8 units, a width of 2 units, and a height of 2 units. What is the surface area of the box?

Answer:

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

Step-by-step explanation:

For each graduate, there are only two possible outcomes. Either they entered a profession closely related to their college major, or they did not. The probability of a graduate entering a profession closely related to their college major is independent of other graduates. This, coupled with the fact that they are chosen with replacement, means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

53% reported that they entered a profession closely related to their college major.

This means that [tex]p = 0.53[/tex]

9 of those survey subjects are randomly selected

This means that [tex]n = 9[/tex]

What is the probability that 3 of them entered a profession closely related to their college major?

This is P(X = 3).

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 9) = C_{9,3}.(0.53)^{3}.(0.47)^{6} = 0.1348[/tex]

0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.

Answer:

middle

Step-by-step explanation:

Answer:

There is no mode (B)

Step-by-step explanation:

Answer:

Solar rays

Step-by-step explanation:

Either that or uv rays

Answer:

Electromagnetic Radiation

Step-by-step explanation:

Answer:

1.56 is greater than 1.29. (Check after the decimal point, 5 is greater than 2, so 1.56 is greater than 1.29)

Answer:

I believe that 1.56 is grater than 1.29.

hope this helps.

Answer:

8000 cubes

Step-by-step explanation:

Given that 1KL is 1 Kilo liters

Then conversion of 1KL to cm³ => 1,000,000 cm³

Therefore, since we have a cube to be 125 cm³

Hence, to find the number of cubes of ice blocks that would make 1KL

We divide 1,000,000 cm³ from 125 cm³

=> 1,000,000 ÷ 125

=> 8,000

Therefore, the correct answer is 8,000 cubes

Answer:

akuy3uwujwu

Step-by-step explanation:

uwoedihwo

Answer:

Safety stock inventory, sometimes called buffer stock, is the level of extra stock that is maintained to mitigate risk of run-out for raw materials or finished goods due to uncertainties in supply or demand.

HOPE IT HELPS...

HAVE A GREAT DAY : P

Answer:

one sec

Line that is parallel:

Step-by-step explanation:

Answer: 24

Step-by-step explanation:

Answer:

The earlier movie starts at 1610 (4:10 PM)

Step-by-step explanation:

The later movie starts at 1700 (5:00 PM), and is in 1 day, 4 hours and 10 minutes. That means the time is __:50. Additionally, it's in 4 hours. 1700 - 400 = 1300 (1:00 PM). Now we know the time is 1350 (1:50 PM) presently.

If it's currently 1:50 PM, and the earlier movie starts 2 hours from this time tomorrow, then it begins at 1350 + 200 = 1550 (3:50PM). Take into account that there's also another 20 minutes before the movie commences, it will be 1610 (4:10 PM).

Good luck!!

Answer:

slope: 2

y intercept 0, -8

Answer:

is hard to choose the flavor of ice cream 40 offer of ice cream , draw 100 bag time will be 60 different bag of flavor ice cream

Here is your system of equations in two variables.

Equation for Erin:

4x + 6y = 19.32

Equation for Adam:

3x + 5y = 15.67

That's it.

Answer:

first term of the pattern​ (T₁) : 10

Step-by-step explanation:

T₁  ;    1 ;    -6 ;   T₄ ;    -14  

1-T₁  ;  -6-1   ; T₄-(-6)  ; -14 -T₄    (First Tₙ-Tₙ₋₁)

-8+T₁  = T₄+13 = -2T₄-20            (2nd Tₙ-Tₙ₋₁ is constant)

T₄+13 = -2T₄-20          3T₄ = -33          T₄ = -11

-8+T₁  = T₄+13         -8 + T₁ = -11 + 13 = 2

T₁ = 10

Answer:

20 ounces of cashews and 70 ounces of peanuts

Step-by-step explanation:

x+3x+10=90

4x+10=90

4x=80

x=20

Answer:

Step-by-step explanation:

radius r = 1.5 in

slant height ℓ = 6 in

lateral area LA = πrℓ

                     = π(1.5)(1.5)

                     = 2.25π

                  ≅ 7.07 in²

base area BA = πr²

                    = π1.5²

                  ≅ 7.07 in²

surface area SA = LA + BA

                       = 7.07 + 7.07

                  ≅ 14.14 in²

Answer:

agreed

Step-by-step explanation:

agreed...............................

ABCDEFGHIJKLMNOPQRSTUVWXYZ

Answer:

360

Step-by-step explanation:

To solve to volume you need to times the width, length, height. so 3 times 6 is 18 and 18 times 20 is 360.

Answer:

n = -9.5 or n = -19/2

Step-by-step explanation:

Answer:

y = 55

x = 6

∠E = 70

Step-by-step explanation:

Hello There!

Segment DE and segment EF are congruent meaning that there opposite angles are congruent

So angle D and angle F are congruent

Because ∠D = 55 ∠F also equals 55

now we can solve for x

Remember all of the angles in a triangle add up to equal 180 so we use this equation to solve for x

180=55+55+11x+4

step 1 combine like terms

55+55+4=114

now we have

180=11x+114

step 2 subtract 114 from each side

180-114=66

now we have

66=11x

step 3 divide each side by 11

66/11=6

11x/11=x

we´re left with

x=6

Now we can plug in 6 to x to find the measure of angle E

6x11=66

66+4=70 so angle E = 70

Answer:

8

Step-by-step explanation:

-2 x -2 = 4

4 - (-28 / 7 = -4)

4-  -4 = 8

Answer:

Step-by-step explanation:

Coordinates of the vertex A → (-4, -6)

Coordinates of the vertex A' → (6, 6)

Since, y-coordinates are same opposite in notation,

Therefore, by the rule of reflection, line of reflection will be a line parallel to y-axis.

And points A and A' will be equidistant from the line of reflection.

Midpoint between A and A' = [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

                                              = [tex](\frac{-4+6}{2},\frac{-6+6}{2})[/tex]

                                              = (1, 0)

Therefore, x = 1 will be the line of reflection.

Answer:

y = -3x + 3

Step-by-step explanation:

use the formula y - y1 = m ( x - x1)

y - 3 = -3 ( x - 0)

y - 3= -3x

y = -3x + 3

Answer:

Y=4x

Y is total profita

X is how many she sells

Step-by-step explanation:

Area = 1/2 x b x h

= 1/2 x 9 x 10

= 45 cm ^2

As it has 6 faces, we multiply the area by 6

45 x 6 = 270 cm^2

Answer:

A two-tailed test.

Step-by-step explanation:

ANOVA is a short term or an acronym for analysis of variance which was developed by the notable statistician Ronald Fisher. The analysis of variance (ANOVA) is typically a collection of statistical models with their respective estimation procedures used for the analysis of the difference between the group of means found in a sample. Simply stated, ANOVA helps to ensure we have a balanced data by splitting the observed variability of a data set into random and systematic factors.

In Statistics, the random factors doesn't have any significant impact on the data set but the systematic factors does have an influence.

Basically, the analysis of variance (ANOVA) procedure is typically used as a statistical tool to determine whether or not the mean of two or more populations are equal through the use of null hypothesis or a F-test.

Hence, the null hypothesis for an analysis of variance (ANOVA) requires that all treatments or samples should be generated from populations having the same mean.

A hypothesis test in which rejection of the null hypothesis occurs for values of the point estimator in either tail of the sampling distribution is called a two-tailed test.

Answer:

9#  415     10# 2 hotdogs and one hamburger

Step-by-step explanation:

Hope this helps!!!  

have a great day!