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LenKa [72]
2 years ago
7

Each of the 20 employees in an office took a 60 point test on office safety. The test scores are listed in the table below. Whic

h histogram best represents the data in the table
Mathematics
1 answer:
madam [21]2 years ago
7 0

Answer:

There is no table

Step-by-step explanation:

But to construct a histogram, we use frequence on the y-axis and class boundaries on the x-axis

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A cylinder has a radius of 4x + 2 and a height of 5x + 4. Which polynomial in standard form best describes the total volume of t
forsale [732]
V = π r² h
V= π (4x+2)² (5x+4)
V = π (4x+2)(4x+2)(5x+4)
V = π (16x²+16x+4)(5x+4)
V= π(80x³+144x²+84x+16)
V= 251.33x³ +452.39x²+263.89x+50.27
4 0
3 years ago
A side of the triangle below has been extended to form an exterior angle of 129°. Find the value of x.
Anvisha [2.4K]

Answer:

The value of x is 30°

Step-by-step explanation:

X° + 90° = 129° (Exterior angle property)

x° = 129° - 99° = 30°

<u>x°</u><u> </u><u>=</u><u> </u><u>3</u><u>0</u><u>°</u>

Hope it helps:)

6 0
2 years ago
Assume that a company hires employees on Mondays, Tuesdays, or Wednesdays with equal likelihood.a. If two different employees ar
horsena [70]

Answer:

P(A) = \frac{1}{9}

P(B) = \frac{1}{3}

P(C) = \frac{1}{729}

Step-by-step explanation:

We know that:

Only employees are hired during the first 3 days of the week with equal probability.

2 employees are selected at random.

So:

A. The probability that an employee has been hired on a Monday is:

P(M) = \frac{1}{3}.

If we call P(A) the probability that 2 employees have been hired on a Monday, then:

P(A) =P(M\ and\ M)\\\\P(A)=( \frac{1}{3})(\frac{1}{3})\\\\P(A) = \frac{1}{9}

B. We now look for the probability that two selected employees have been hired on the same day of the week.

The probability that both are hired on a Monday, for example, we know is P(A) = \frac{1}{9}. We also know that the probability of being hired on a Monday is equal to the probability of being hired on a Tuesday or on a Wednesday. But if both were hired on the same day, then it could be a Monday, a Tuesday or a Wednesday.

So

P(B) = \frac{1}{9} + \frac{1}{9} + \frac{1}{9}\\\\P(B) = \frac{1}{3}.

C. If the probability that two people have been hired on a specific day of the week is 3(\frac{1}{3}) ^ 2, then the probability that 7 people have been hired on the same day is:

P(C) = (\frac{1}{3}) ^ 7 + (\frac{1}{3}) ^ 7 + (\frac{1}{3}) ^ 7\\\\P(C) = \frac{1}{729}

D. The probability is \frac{1}{729}. This number is quite close to zero. Therefore it is an unlikely bastate event.

6 0
3 years ago
Does someone mind helping me with this problem? Thank you!
faltersainse [42]

\frac{10-(3 \cdot 2^2 - 23)}{(1 + 10^2)-2^2 \cdot 5^2} =

10-\left(3\cdot \:2^2-23\right) =10-\left(-11\right) =21

\left(1+10^2\right)-2^2\cdot \:5^2 =  101-2^2\cdot \:5^2 = 101-4\cdot \:5^2 =101-4\cdot \:25 =101-100 = 1

=\frac{21}{1}

\frac{a}{1}= a

=21

I hope I helped you!

4 0
1 year ago
Read 2 more answers
Find two numbers whose sum is 9 and whose difference is -1
faltersainse [42]

Answer:

4 and 5

Step-by-step explanation:

Make a system of equations:

x+y=9

x-y=-1

x=9-y

9-y-y=-1

9-2y=-1

-2y=-10

y=5

Since y=5, x must be 4 since 4+5=9 and 4-5=-1

Hope this helped!

4 0
3 years ago
Read 2 more answers
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