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Schach [20]
3 years ago
15

In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 &

lt; x < 68, where x represents height, can be used to represent the height range. Which is another way of writing the inequality?
Mathematics
2 answers:
Oksanka [162]3 years ago
5 0
It can be written 68 > x > 64.
Oksana_A [137]3 years ago
3 0

Answer:

x \epsilon (64,68)

Step-by-step explanation:

Given that in order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches.

The inequality

64 < x < 68,

where x represents height, can be used to represent the height range.

This can also be written in interval form without including end values.

i.e. open brackets will be used to denote intervals.

x \epsilon (64,68)

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The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is
Viktor [21]

Answer:

There are approximately 171 families in the sample.

Step-by-step explanation:

Percentile meaning:

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

Twenty-four of the families in the sample turned on the television for 23 hours or less for the week. The 14th percentile of the data is 23 hours.

This means that 24 is 14% of the total number of families.

Approximately how many families are in the sample?

Using a rule of three.

24 - 0.14

x - 1

0.14x = 24

x = 24/0.14

x = 171.4

Rounding to the nearest integer

There are approximately 171 families in the sample.

5 0
2 years ago
Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the g
Bumek [7]
Your parallel equation would be y=-3x-32.
5 0
3 years ago
Solve the system equations and choose the correct ordered pair <br><br> 3x+2y=12<br> 6x+3y=21
Harrizon [31]

Answer:

(2, 3).

Step-by-step explanation:

3x+2y=12

6x+3y=21    Multiply the first equation by 3 and the second by 2:

9x + 6y = 36

12x + 6y = 42        Subtract:

-3x = -6

x = -6/-3 = 2.

Plug x = 2 into the first equation:

3(2) + 2y = 12

2y = 12 - 3(2)

2y = 6

y = 3.

6 0
2 years ago
The answer and explanation to question 1
xxMikexx [17]

Answer:

20, 31, 33, 35, 55, 57, 58, 59, 72, 73, 79, 86, 87, 88

Step-by-step explanation:

The data set is split by digit. So 2|0 becomes 20. 5|5 becomes 55. Using this method, the data set is

20, 31, 33, 35, 55, 57, 58, 59, 72, 73, 79, 86, 87, 88

7 0
3 years ago
(5CQ) Use the comparison test to determine whether the series 25/3+125/9+625/27+... is convergent or divergent.
olya-2409 [2.1K]

The terms in the sum are given by the sequence

\left\{\dfrac{5^{n+1}}{3^n}\right\}_{n\ge1}

We have

\dfrac{5^{n+1}}{3^n}>\dfrac{5^n}{3^n}=\left(\dfrac53\right)^n>1

for all n, and the series 1+1+1+\cdots clearly diverges, so \dfrac{25}3+\dfrac{125}9+\cdots must also diverge.

4 0
3 years ago
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