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nexus9112 [7]
3 years ago
9

A company had an employee picnic. One-half of the 64 employees at Plant #1 attended, two-thirds of the 81 employees at Plant #2

attended, and three-fourths of the 48 employees at company headquarters attended. How many employees came to the picnic?
Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
3 0
122 employees



Because

1/2 of 64 is 32
2/3 of 81 is 54
3/4 of 48 is 36

32+54+36=122
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Yanka [14]
Two corresponding angles are congruent implies the two lines are parallel. This is the definition of the converse of the corresponding angles theorem.
7 0
3 years ago
Reserve Problems Chapter 4 Section 5 Problem 2 A laptop company claims up to 10.1 hours of wireless web usage for its newest lap
Viktor [21]

Answer:

0.1151

Step-by-step explanation:

Given that a laptop company claims up to 10.1 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 9.5 hours and standard deviation 30 minutes.

If X is the battery life then X is N(9.5, 0.5)

(we convert into one unit for calculations purpose here hours)

a) the probability that the battery life is at least 10.1 hours

=P(X\geq 10.1)\\=P(Z\geq \frac{10.1-9.5}{0.5} )\\= P(Z\geq 1.2)\\=0.1151

we get the probability that the battery life is at least 10.1 hours is 0.1151

4 0
3 years ago
there are 2 numbers that are twice as far from 23 as they are from 38. Those two numbers are? QUICKK PLS
sergeinik [125]

Answer:

53&8

Step-by-step explanation:

38-23=15

23+15+15=53

23-15=8

5 0
3 years ago
Please help, I think its D but I know that things are usually the opposite of what you think when doing these types of problems.
miskamm [114]

Answer:

A. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.

Step-by-step explanation:

The only thing that has changed is that x^2 is multiplied by 5.

If the x^2 is multiplied by a constant that has an absolute value less than 1, the parabola will undergo a vertical compression.

If the x^2 is multiplied by a constant that has an absolute value more than 1, the parabola will undergo a vertical stretch.

Since the absolute value of 5 is more than 1, A. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.

Hope this helps!

4 0
3 years ago
A company sells widgets. The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the
sineoko [7]

Answer:

x = $34.45

Step-by-step explanation:

Solution:-

The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:

                       y = -10x^2 + 689x -6775

We are to determine the profit maximizing selling price ( x )

From the properties of a parabola equation of the form:

                      y = ax^2 + bx + c

The vertex ( turning point ) or maximum/minimum point is given as:

                     x = -\frac{b}{2a} \\\\x = - \frac{689}{2*(-10)} =  \frac{689}{20}\\\\x = 34.45

The profit maximizing selling price of widgets would be x = $34.45.

4 0
3 years ago
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