Answer: 0.9104
Step-by-step explanation:
Given : A hardware store receives a shipment of bolts that are supposed to be 12 cm long.
Mean : 
Standard deviation : 
Sample size : n=10
Since, they will declare the shipment defective and return it to the manufacturer if the average length of the 100 bolts is less than 11.97 cm or greater than 12.04 cm.
So for the shipment to be satisfactory, the length of the bolts must be between 11.97 cm and 12.04 cm.
We assume that the length of the bolts are normally distributed.
Let X be the random variable that represents the length of randomly picked bolt .
For Z score : 
For x = 11.97
For x = 12.04
By using the standard normal distribution table , the probability that the shipment is found satisfactory will be :-
Hence, the probability that the shipment is found satisfactory=0.9104
Answer:
c. Ninety-five percent of the time, the percentage of those questioned who have read the Declaration of Independence would likely be between 25 and 33 percent.
Step-by-step explanation:
Margin of error:
"It means the percentage difference of the result above or below the exact value."
i.e. 4 percent of margin error in the question means that the result will be either 4 percent above the 29 percent or 4 percent below the 29 percent.
OR "the result can vary upto 4 percent above or below the 29 percent."
Let me simplify the answer first in number then convert it percent to understand easily.
29 percent of 1000= (29/100)*1000=290
4 percent of 1000=(4/100)*1000=40
If 290 students had read the declaration of independence at least once with 40 margin of error, then it means the number of students that had read declaration of independence may be 330 or 250
250 is 25% of 1000 and 330 is 33% of 1000, that is why ninety-five percent of the time, the percentage of those questioned who have read the Declaration of Independence would likely be between 25 and 33 percent.
The value of this equation is: 4
Answer: 4
Answer:
5 weeks
Step-by-step explanation:
We know that she works at a rate of $12 an hour, she also works 20 hours a week.
The total amount she makes per week is $240 (12 x 20). However, that is without deductions. We have to subtract $34 from the $240.
$240 - $34 = $206.
$206 is the amount she makes in a week and she wants to save $950. How many weeks does she have to save? Well, let's divide.
$950 / $206 = 4.6 weeks. However, if we have to round up to 5 weeks.
Answer
Secured
Step-by-step explanation:
eee
