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Anon25 [30]
4 years ago
7

Eleanor and Max used two rectangular wooden boards to make a set for the school play. One board was 6 feet long, and the other w

as 5 1/2 feet long. The two boards had equal widths. The total area of the set was 60 3/8 square feet. What was the width?
Mathematics
1 answer:
salantis [7]4 years ago
6 0
5 1/2 = 5.5, 60 3/8 = 60.375
6a+5.5a=60.375
11.5a=60.375
a= 60.375/11.5 = 5.25 or 5 1/4 feet

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P is a prime number.<br> Show that p²+6 could be either even or odd
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<em>p</em> ² + 6 is even if <em>p</em> ² is even (the sum of two even numbers is even), and this happens only if <em>p</em> itself is even, i.e. if <em>p</em> = 2 since 2 is the only even prime.

All other primes <em>p</em> are odd, so <em>p</em> ² would be odd, and adding 6 would not change that (odd + even = odd).

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viva [34]

Remark

The general formula for these types of questions is

(x1 + k(x2 - x1) ) , (y1 + k(y2 - y1))

<u>Problem 1 -- Point G</u>

Givens

(x1,y1) is the starting point which in this case is (-3, -3)

(x2,y2) is the ending point which in this case is (6 , -3)

k = 1/4

Sub and solve

(-3 + 1/4(6 - - 3), - 3+ 1/4(- 3 - - 3)

(-3 + 1/4(9) , - 3 + 1/4 (-3 + 3)

(-3 + 9/4, -3 + 1/4(0) )

(-12/4 + 9/4 , -3)

(-3/4 , - 3) Answer

<u>Problem 2 Point F Much harder</u>

Givens

(x1,y1) = (-3 , -1)

(x2,y2) = (6, - 3)

k = 3/4

Sub and solve

(-3 + 3/4(6 - - 3) , -1 + 3/4(-3 - - 1) )

(-3 + 3/4(9) , - 1 + 3/4(-2) )

(-3 + 27/4 , -1 - 6/4 )

(-12/4 + 27/4, -4/4 - 6/4)

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aleksandrvk [35]
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3 0
4 years ago
A group of 59 randomly selected students have a mean score of 29.5 with a standard deviation of 5.2 on a placement test. What is
Otrada [13]

Answer:

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Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

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Given that;

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Substituting the values we have;

29.5+/-1.645(5.2/√59)

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Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

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3 years ago
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