Answer:
70 units.
Step-by-step explanation:
The 4 sides of a rhombus are equal so each side has length 148 /4
= 37 units. The diagonals bisect each other at right angles so when we draw the 2 diagonals we have 4 congruent right-angled triangles.
So consider one of these triangles:
The hypotenuse is 37 units and one of the legs = 1/2 * 24 = 12 units ( half of the diagonal of length 24).
So the other leg is found using Pythagoras:
x^2 = 37^2 - 12^2 = 1225
x = 35.
This is half of the other diagonal so the latter = 70 units.
Answer:
B, shaded region below a dashed boundary line
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given that n =30, x bar = 375 and sigma = 81
Normal distribution is assumed and population std dev is known
Hence z critical values can be used.
For 95% Z critical=1.96
Margin of error = 
Confidence interval = 375±29
=(346,404)
B) 99% confidence
Margin of error = 2.59*Std error =38
Confidence interval = 375±38
=(337, 413)
C) For 90%
Margin of error = 20
Std error = 20/1.645 = 12.158
Sample size

Atleast 44 people should be sample size.
Answer:
There are 60 boys and 80 girls in Franklin School.
Step-by-step explanation:
"franklin school has 3 boys for every 4 girls in the fifth grade." means that the ratio of boys to girls is: 3:4
It can also be written as 3/4
Also given
Total number of students: 140
We will use ratios to find the number of boys and girls in shool.
First of all, we have to calculate the sum of ratio which is: 3+4 = 7
Let b be the number of boys and g be the number of girls
Then

Hence,
There are 60 boys and 80 girls in Franklin School.