44% of a number x is 99
44%=0.44
0.44×99= 43.56
22% of a number y is 55
22%=0.22
0.22×55=12.1
the greater number is 44% of a number is 99 so the value is 43.56
Answer:
8 feet
Step-by-step explanation:
Let l and w be length and width, respectively. Then:
lw=144 and
l=w+10
So:
w(w+10)=144
w²+10w-144=0
(w+18)(w-8)=0
w=8 as the width ................
Answer:
Mean = 78.2
Standard deviation = 5.8
Step-by-step explanation:
Mathematically z-score;
= (x-mean)/SD
From the question;
12% of test scores were above 85
Thus;
P( x > 85) = 12%
P(x > 85) = 0.12
Now let’s get the z-score that has a probability of 0.12
This can be obtained from the standard normal distribution table and it is = 1.175
Thus;
1.175 = (85 - mean)/SD
let’s call the mean a and the SD b
1.175 = (85-a)/b
1.175b = 85 - a
a = 85 - 1.175b ••••••••(i)
Secondly 8% of scores were below 70
Let’s find the z-score corresponding to this proportion;
We use the standard normal distribution table as usual;
P( x < 70) = 0.08
z-score = -1.405
Thus;
-1.405 =( 70-a)/b
-1.405b = 70-a
a = 70 + 1.405b ••••••(ii)
Equate the two a
70 + 1.405b = 85 - 1.175b
85 -70 = 1.405b + 1.175b
15 = 2.58b
b = 15/2.58
b = 5.81
a = 70 + 1.405b
a = 70 + 1.405(5.81)
a = 78.16
So mean = 78.2 and Standard deviation is 5.8
60 degrees because vertical angles are congruent if you move line y 5 degrees clockwise then you are adding 5+55=60 and since 1 and 3are congruent 3=60 degrees
Here, angle (3x-1) is supplementary with 5x, so their sum would be equal to 180
3x - 1 + 5x = 180
8x = 180 + 1
x = 181/8
x = 22.625
Hope this helps!
