Answer: x > 64 and x < 68 is another way of rewriting inequality.
Step-by-step explanation:
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,gives the range of height.
⇒In other words range of height can be x > 64 and x < 68 , such that both conditions are applied to single actor.
[with the use of or it will appear to give priority by actor to follow any 1 conditon]
Answer:
Area = 25 square inches.
Step-by-step explanation:
Consider the large base triangle first. The height is 15 - 5 = 10
The base across is 10 (the length of the smaller stick).
The Area of that triangle is 1/2 * b * h
Area = 1/2 * 10 * 10 = 50
Now the smaller triangle is the same base (the smaller stick of 10) * the height of 5
Area = 1/2 b * h
Area = 1/2 10 * 5
Area = 25
total area of the kite = 50 + 25 = 75
Answer:
Number of families that should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5 is at least 43.
Step-by-step explanation:
We are given that one wants to estimate the mean PSLT for the population of all families in New York City with gross incomes in the range $35.000 to $40.000.
If sigma equals 2.0, we have to find that how many families should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5.
Here, we will use the concept of Margin of error as the statement "true mean PSLT within 0.5" represents the margin of error we want.
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<u>SO, Margin of error formula is given by;</u>
Margin of error =
where,
= significance level = 10%
= standard deviation = 2.0
n = number of families
Now, in the z table the critical value of x at 5% (
) level of significance is 1.645.
SO, Margin of error =
0.5 =

n =
= 43.3 ≈ 43
Therefore, number of families that should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5 is at least 43.
Answer:
8/18=4/9
Step-by-step explanation:
since it there is 1/6 for red marbles and 5/18 for blue marbles it works because it is 8*9=72 for the denominator and 4*3=12 so it is 12/72=1/6 and for blue it is 5/18 because it is 5*4=20 and 20/72=10/36=5/18 so it is 1/6+5/18=8/18=4/9
Answer:
ur answer is A
Step-by-step explanation:
dont know how to explain
Hope this helps