Find the volume of the
triangular prism.
2.8 cm
9 cm
4.2 cm
The volume of the triangular prism is
cm?

Answer:

483

Step-by-step explanation:

A=1/2(a+b)h

A = 96.6

V = A x h

V = 96.6 x 5

V=483

Step-by-step explanation:

slope is y2-y1/x2-x1

formula is

y=mx+b where m is the slope

Answer:

78.75min

Step-by-step explanation:

t=S/v

105km/80km/hr

=1.3125hr

1.3125hr =78.75min

Answer:

good morning I was just asking when will I be

Answer:

m<1=90°

m<2=38°

hope this helps

Answer:

137 - 48 = 89, so she climbed 89

Step-by-step explanation:

9514 1404 393

Answer:

  4%

Step-by-step explanation:

The amount of simple interest is given by ...

  I = Prt . . . . . amount P invested at annual rate r for t years

This can be solved for r:

  r = I/(Pt)

Using the given values, we find the rate to be ...

  r = 16/(200·2) = 16/400 = 4/100 = 4%

The annual interest rate is 4%.

Answer:

100

Step-by-step explanation:

Multiply two of the side lengths

10×10 = 100

Answer:

V = 108 in³

Step-by-step explanation:

Given:

Volume of sphere = ⁴/3πr³

π = 3

d = 6 in.

r = ½(6) = 3 in.

Required:

Volume of sphere

Solution:

V = ⁴/3πr³

Plug in the values

V = ⁴/3 * 3 * 3³

V = ⁴/3 * 3 * 27

V = 4 * 27

V = 108 in³

Answer:

Angle x = 120 degrees

Angle y = 60 degrees

Step-by-step explanation: Angle x has to be equivalent to the 120 degree angle that is already given since lines l and m are parallel as well as lines p and q. To find angle y, you must realize that angles x and y are supplementary angles, so their sum is 180 degrees. Since we now know that angle x is 120 degrees, you must subtract 120 from 180 in order to find the value of angle y: 180 - 120 = 60 degrees. I'm sure that there are other methods to figuring this question out, but this is how I did it.

Answer:

Step-by-step explanation:

Based on the data gathered on that certain day, I would say NO, the store does not need to change its staffing. The data shows that the percentages calculated by the store are extremely close to the actual percentage of people that arrived at those given hours throughout the day. The problem with this solution is that it does not take into account special circumstances, such as specific days, events, holidays, new popular items, etc. All of these can drastically affect the number of people that enter the store at a given time.

1. The retail store should not change its staffing arrangement.

2. Changing the staffing arrangement may not favor the retail store.

Data and Calculations:

                                             8:00 am &   12:00 pm &   4:00 pm &   8:00 pm &

                                              12:00 pm       4:00 pm      8:00 pm      midnight

Expected % of customers        32%             21%              35%                12%

Actual number of customers  214               198              276                  134

Total Number of customers = 822 (214 + 198 + 276 + 134)

Actual % of customers            26%             24%             34%                 16%

Difference between expected percentage of

 customers and actual           6%                3%                1%                  -4%

Variation                                 0.36%           0.09%         0.01%            0.16%

Sum of variation = 0.62%

Standard Deviation = 0.787

Thus, based on the standard deviation, the store should not change its staffing.

Learn more: https://brainly.com/question/14880922

Answer:

I wanna say 348?? maybe.... I think

Answer:

24 patterns

Step-by-step explanation:

Given that four lettered patterns are to be formed using the three alphabets. Since letters may be repeated, then;

4[tex]P_{3}[/tex] = [tex]\frac{4!}{(4 - 3)!}[/tex]

      = [tex]\frac{4 x 3 x 2!}{1!}[/tex]

     = 4 x 3 x 2

     = 24

4[tex]P_{3}[/tex] = 24

Therefore, 24 four letter patterns can be formed when the given letters are repeated.

Answer:

16

since it's the least that can be divided by both

Answer:

a) 16

Step-by-step explanation:

Determine the least common multiple (LCM) of 48 and 16.

A. 16

HOPE THIS HELPS YOU.HAVE A NICE DAY....

Answer:

The probability of choosing a professor or an instructor is 47.22%.

Step-by-step explanation:

Given that the mathematics faculty at a college consists of 11 professors, 12 associate professors, 7 assistant professors, and 6 instructors, if a faculty member is selected, to find the probability of choosing a professor or an instructor the following calculation must be performed:

11 + 12 + 7 + 6 = 100

11 + 6 = X

36 = 100

17 = X

17 x 100/36 = X

1700/36 = X

47.22 = X

The probability of choosing a professor or an instructor is 47.22%.

Answer:

0.871

Step-by-step explanation:

a. Solve the formula for r.

V = C (1 + r)²

dividing both sides by C, we have

V/C = (1 + r)²

(1 + r)² = V/C

taking square root of both sides, we have

√(1 + r)² = √(V/C)

1 + r = √(V/C)

r = √(V/C) - 1

b. Lew bought a condo 20 years ago for $50,000, and the current value of the condo is $175,000. Assuming the same

rate each year, what has the annual rate of appreciation been? Round your answer to the nearest half a percent.

Since r  = √(V/C) - 1 and V = $ 175,000 and C = $ 50,000

Substituting the values of the variables into the equation for r, we have

r  = √($ 175,000/$ 50,000) - 1

r  = √3.5 - 1

r = 1.871 - 1

r = 0.8708

r ≅ 0.871

Answer:

girls are 15 and boys are 30

Answer:

Step-by-step explanation:

Given,

No. of students in the class = 45

Fraction of girls = 1/3

Therefore,

No. of girls = 45 × 1/3

= 15

No. of boys = 45 - 15 = 30

Hence,

In class 7 there are 15 girls and 30 boys (Ans)

Answer:

B

Step-by-step explanation:

you can use the process of elimination. For all of the answers the minimum and the maximum are incorrect except for option B.

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Answer:

  (a)  m = 2

Step-by-step explanation:

The formula tells you the slope is ...

  m = (18 -10)/(5 -1) = 8/4

  m = 2

Answer:

∠U=70°

Step-by-step explanation:

[tex]Cos~U=\frac{32^2+40^2+42^2}{2(32)(40)}[/tex]

[tex]Cos~U=43/128[/tex]

∠ U=  [tex]Cos^{-1}(43/28)[/tex]

∠ U= [tex]70[/tex]

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

hope it helps...

have a great day!!!

Answer:

∠U=70°

Step-by-step explanation:

hope it helps

Answer:

1/3

Step-by-step explanation:

2 divided by 6 is 1/3 and 1/3 times 6 is 2

Answer:

The answer is "0.00088"

Step-by-step explanation:

Many ways of selecting r articles of n,[tex]\to ^nC_r = \frac{n!}{(r! \times (n-r)!)}[/tex]

P(wins the player) = [tex]\frac{1}{\text{Any combinations of possible numbers}}[/tex]

[tex]= \frac{1}{^{20} C_3}\\\\[/tex]

[tex]= \frac{1}{\frac{20!}{(3!\times 17!)}}\\\\= \frac{1}{1140}\\\\= 0.00088[/tex]

9514 1404 393

Answer:

  y = -3x

Step-by-step explanation:

The slope formula gives the slope of the segment between the given points.

  m = (y2 -y1)/(x2 -x1)

  m = (-3 -(-5))/(2 -(-4)) = 2/6 = 1/3

The slope of the perpendicular line is the opposite reciprocal of this, so is ...

  m' = -1/(1/3) = -3

A perpendicular line is ...

  y = -3x

Answer: b that is too easy

Step-by-step explanation:

Answer:

0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Distribution of the difference in height between men and woman:

Applying the concept above:

[tex]\mu = 69.3 - 64 = 5.3[/tex]

[tex]\sigma = \sqrt{2.7^2 + 2.8^2} = 3.89[/tex]

What is the probability that the young man is taller than the young woman by more than 5 inches?

Probability of the difference being more than 5 inches, that is, 1 subtracted by the pvalue of Z when X = 5.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5 - 5.3}{3.89}[/tex]

[tex]Z = -0.08[/tex]

[tex]Z = -0.08[/tex] has a pvalue of 0.4681

1 - 0.4681 = 0.5319

0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches