Answer:
a) 6.67% b) 500% c) 40% d) 7.5%
Step-by-step explanation:
a. ? % of 75 = 5
<em>Let ? be y.</em>
<em>Of means multiply so we will replace it with a multiplication sign.</em>
<em>y% x 75 = 5</em>
<em>y% = 5/75</em>
<em>y% = 1/15 x 100</em>
y = 6.67 %
b) ?% of 28 = 140
<em>Let ? be y.</em>
<em>Of means multiply so we will replace it with a multiplication sign.</em>
<em>y% x 28 = 140</em>
<em>y% = 140/28</em>
<em>y% = 5</em>
<em>y = 5 x 100</em>
y = 500%
c) ?% of 100 = 40
<em>Let ? be y.</em>
<em>Of means multiply so we will replace it with a multiplication sign.</em>
<em>y% x 100 = 40</em>
<em>y% = 40/100</em>
<em>y% = 2/5</em>
<em>y = 2/5 x 100</em>
y = 40%
d) ?% of 200 = 15
<em>Let ? be y.</em>
<em>Of means multiply so we will replace it with a multiplication sign.</em>
<em>y% x 200 = 15</em>
<em>y% = 15/200</em>
<em>y% = 3/40</em>
<em>y = 3/40 x 100</em>
y = 7.5 %
!!
3x - 50 = -20
Add 50 to both sides
3x = 30
x = 10
The number is 10
If length is x, then width is 6+x
<span>Perimeter = 2*(x + 6+x) = 52 </span>
<span>2*6 + 2*2x = 52 </span>
<span>4x = 52 - 12 = 40 </span>
<span>x = 40/4 = 10 </span>
<span>Area = length*width = 10*(6+10) </span>
<span>Area = 10*16 = 160 meter square</span>
Answer:
C
Step-by-step explanation:
(1/2⁶)
Let Z be the reading on thermometer. Z follows Standard Normal distribution with mean μ =0 and standard deviation σ=1
The probability that randomly selected thermometer reads greater than 2.07 is
P(z > 2.07) = 1 -P(z < 2.07)
Using z score table to find probability below z=2.07
P(Z < 2.07) = 0.9808
P(z > 2.07) = 1- 0.9808
P(z > 2.07) = 0.0192
The probability that a randomly selected thermometer reads greater than 2.07 is 0.0192