The mileage is within a z-score of 1.5 is (b) 24 miles
From the complete question, we have the following parameters:
Standard deviation = 3.6
Mean = 18.6
z = 1.5
The z-score is calculated using:
So, we have:
Cross multiply
Make x the subject
Substitute known values
Evaluate
x = 24
Hence, the mileage is within a z-score of 1.5 is (b) 24 miles
Read more about z-scores at:
#SPJ5
Step-by-step explanation:
3.
$30.32/8 = $3.79 per gallon
4. (a)
Weight of single gallon = 41.7/5 = 8.34 pounds
(b)
Weight of 70 gallons = 70*8.34 =
583.8 pounds
Answer: the answer is base of triangle, height of triangle
got it wrong because of that other guy answers was wrong
Answer:
perimeter of square
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
m<1+m<2+m<3 = 180 this forms a straight line
m<2 = 90 degrees
m<1 + 90 + m<3 = 180
Subtract 90 from each side
m<1 + 90-90 + m<3 = 180-90
m<1 + m<3 = 90
70 +m<1+m<2 = 180 this forms a straight line
70 + m<1 + 90 = 180
Combine like terms
160 + m<1 = 180
Subtract 160 from each side
160-160 + m<1 = 180-160
m<1 = 20
m<1 + m<3 = 90
20 + m<3 = 90
Subtract 20 from each side
20-20 +m<3=90=20
m<3 = 70
We want to find m<3 - m<1
m<3 - m<1
70 -20
50
Prove: m∠A=72°
Answer:
Step-by-step explanation:
By the triangle sum theorem, the sum of angles in a triangle is equal to 180°. Therefore, m∠A + m∠B + m∠C = 180°. Using the Substitution property
(6x)° + 90° + (x+6)° = 180°
To solve for x, first combine the terms to get (7x + 96) = 180°
Using the Subtraction property of equality,
7x = 84.
Then using the division property of equality x = 12.
To find the measure of angle A,
Use the subtraction property to get m∠A = 6(12)°.
Finally simplifying the expression gets m∠A = 72°.
16 4
32 16
48 36
A)yes; y=2x
B)yes; y=1/4x
C)yes; y=1/8x
D) No; y does not vary directly with x
Answer:
D) No; y does not vary directly with x.
Step-by-step explanation:
We can affirm that y varies directly with x, that is, that y is directly proportional to x if they fulfill the following condition.
y/x = k
where,
k is a constant number
We have 3 ordered pairs:
a) (16, 4)
b) (32, 16)
c) (48, 36)
If we perform y/x for each ordered pair,
a) 4/16 = 0.25
b) 16/32 = 0.50
c) 36/48 = 0.75
Since y/x is not constant, y does not vary directly with x.