A-length
b-width
perimeter of rectangular floor: 2a+2b=204
<span>The length is two times the width: a=2b
</span>2a + 2b = 204
2*2b + 2b = 204
6b = 204|:6
b = 34
a=2b=2*34=68
a=68->length
b=34->width
Answer:
c. the biology test
Step-by-step explanation:
To answer this problem we need to calculate the z-score of both tests, using the formula:
z = (x - μ) / σ
Where x is Sue's score, μ is the mean, and σ is the standard deviation.
- For the <u>biology test</u>, the z-score is:
z = (76 - 70) / 7 = 6/7 = 0.857
- For the <u>math test</u>, the z-score is:
z = (76 - 75) / 10 = 1/10 = 0.100
Because the z-score for the biology test is greater than the z-score for the math test, Sue did better in the biology test, in comparison to the rest of the class.
Answer:
it is a, b, and c, but not d
Answer:
a) 2,650%
b) 27,400%
c) 164,900%
Step-by-step explanation:
We want to measure the percentage we would have to increase the typical value to obtain the values given in a), b) and c).
But 0.2 increased in x% equals
0.2 + 0.2(x/100) =0.2(1+x/100)
So, if we want to increase 0.2 in x%, we must multiply it by (1+x/100)
a)
We need to find the value of x such that
0.2(1+x/100) = 5.5 ⇒ (1+x/100)=5.5/0.2 ⇒ 1+x/100=27.5
⇒ x/100=26.5 ⇒ x=2,650%
b)
0.2(1+x/100) = 55 ⇒ (1+x/100)=55/0.2 ⇒ 1+x/100=275
⇒ x/100=274 ⇒ x=27,400%
c)
5.5 min = 5.5*60 s = 330
0.2(1+x/100) = 330 ⇒ (1+x/100)=330/0.2 ⇒ 1+x/100=1,650
⇒ x/100=1,649 ⇒ x=164,900%
Answer:
d
Step-by-step explanation:
