Answer:
14. 4 + x - 2
15. 8k - 3k
16. 5 + 2y + 15
Step-by-step explanation:
14. "sum" means adding, "minus" means subtract
sum of four and x: 4 + x
minus two: 4 + x - 2
15. "product" means multiplying, "decreased by" means subtract, "times" means multiply
the product of k and 8: 8k
three times k: 3k
the product of k and 8 decreased by three times k: 8k - 3k
(Depending on what the question is asking, you may or may not need to simplify this to 5k (8k - 3k = 5k))
16. "more" means add, "plus" means add, "twice" means multiply by two
five: 5
plus twice y: 5 + 2y
fifteen more: 5 + 2y + 15
#27.
First cross multiply
2 (2a-3) = 3 (a-1)
next use the distribute property on both sides
4a - 6 = 3a - 3
combine like terms, subtract 3a from both sides and add 6 to both sides
a = 3
#28
cross multiply
3x = 4, then divide both sides by 3
x = 4/3
#30
add 1/4 to both sides
3/x = 1/2 + 1/4, find a common denominator for the right side fractions
3/x = 2/4 + 1/4 = 3/4
therefore, x = 4
Answer: (80% , 85%)
Step-by-step explanation:
We know that, confidence interval for population proportion is given by :-
(p-E , p+E)
, where p = sample proportion , E = Margin of error.
Given : Proportion of elementary school teachers who are female = 82%.
The article also states the maximum error of their estimate = 3%.
Then, the 90% confidence interval for the proportion of elementary school teachers who are female will be :
(82%-2% , 82%+3%)
= (80% , 85%)
Hence, the resulting 90% confidence interval for the proportion of elementary school teachers who are female = (80% , 85%)
Answer:
0.6 or 
Step-by-step explanation:
Using the Pythagorean theorem (
) we get that the hypotenuse is 5.
so the cos V is adjacent over the hypotenuse. so if adjacent is 3 and hypotenuse is 5, the answer is which equals 0.6 in decimal form.
Answer: Brett runs for 1.35 miles in total
Step-by-step explanation:
1 4
0.15
x 9
———
1 .35
