About 4.01% of the test scores in the normal distribution that are greater than 90
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more number and variables.
Z score is given by:
z = (raw score - mean) / standard deviation
Given that mean score is 76, and the standard deviation is 8.
For x > 90:
z = (90 - 76) / 8 = 1.75
P(z > 1.75) = 1 - P(z < 1.75) = 1 - 0.9599 = 0.0401
About 4.01% of the test scores in the normal distribution that are greater than 90
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Divide distance by time.
Chance the time to a decimal:
33 minutes / 60 = 0.55
Time was 3.55 hours.
Speed = 2840/3.55 = 800 miles per hour
Answer:
Step-by-step explanation:
Open the brackets
3 x 2x = 6x
3x -3 = -9
4 x 2x= 8x
4 x 4= 16
6x - 9 = 8x + 16
Move same to same side
-16 -9 = 8x - 6x
-25 = 2x
x -25/2
x = -12.5
Based on the definition of an isosceles trapezoid, the measure of angle MQP in the figure shown is: m∠MQP = 73°.
<h3>What is an Isosceles Trapezoid?</h3>
An isosceles trapezoid has the following properties:
- It has two diagonals that are equal.
- It has a pair of opposite sides that are congruent and a pair of opposite sides that are parallel.
- Opposite angles in an isosceles trapezoid are supplementary.
The figure given is an isosceles trapezoid.
The measure of angle MNP is given as 107°.
Angle MQP and angle MNP are opposite angles.
Based on the properties of an isosceles trapezoid, we have:
m∠MQP + m∠MNP = 180
Substitute
m∠MQP + 107 = 180
m∠MQP = 180 - 107
m∠MQP = 73°
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Answer:
A
Step-by-step explanation: