Answer:
16% of students will complete the exam in less than 60 minutes
Step-by-step explanation:
The Empirical Rule(68-95-99.7) states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 70
Standard deviation = 10
What percentage of students will complete the exam in less than 60 minutes
60 = 70-10
So 60 is one standard deviation below the mean
By the Empirical Rule, 68% of the measures are within 1 standard deviation of the mean, that is, from 60 to 80 minutes. The other 100-68 = 32% is outside this interval. Since the normal distribution is symmetric, 16% of those are below 60 and 16% of those are above 80.
16% of students will complete the exam in less than 60 minutes
Step-by-step explanation:
∠2 and ∠7 are alternate exterior angles so they are equal.
So you can create the equation
40x-48 = 20x+52 Subtract 20x from both sides. Add 48 to both sides.
20x = 100
x = 5
if you need m∠2 Substtute 5 for x in 20x+52
20(5) + 52 = 100 +52 m∠2= 152°
m∠7 40(5) - 48 = 200-48 m∠7= 152°
Answer:x= -8 or 2
Step-by-step explanation:
Answer:
the number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is 2.
Complete question:
While making oatmeal cookies, Angela needs to add 1/2 cup of milk to her dough. However, she has only a 1/4-cup measuring cup. How many times does she need to fill the measuring cup to pour 1/2 cup of milk? The number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is?
Step-by-step explanation:
Number of cups Angela needs to add to her dough = 1/2 cup of milk
The only measuring cup she has = 1/4-cup measuring cup.
To determine the number of times she needs to fill the measuring cup to pour 1/2 cup of milk, we would divide the 1/2 cup of milk by 1/4-cup measuring cup
= ½ ÷ ¼
= ½ × 4/1
= 4/2
= 2
Angela would need to fill 2 times
Therefore, the number of times Angela needs to fill the 1/4-cup measuring cup to pour 1/2 cup of milk is 2