Answer:
38.40% probability that it would take between 2.5 and 3.5 hours to construct a soapbox derby car.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
Find the probability that it would take between 2.5 and 3.5 hours to construct a soapbox derby car.
This is the pvalue of Z when X = 3.5 subtracted by the pvalue of Z when X = 2.5
X = 3.5
has a pvalue of 0.6915
X = 2.5
has a pvalue of 0.3075
0.6915 - 0.3075 = 0.3840
38.40% probability that it would take between 2.5 and 3.5 hours to construct a soapbox derby car.
Answer:
The sample size n= 2500
A survey with 2500 left-handed people guarantees the given margin error is 2%
Step-by-step explanation:
<u>Explanation:-</u>
The margin of error =
here for proportions , the standard deviation (σ) =
now The necessary sample size is
Given data the survey in order to get a margin of error of 2%
M.E = 0.02
<u>Conclusion</u>:-
The sample size n= 2500
A survey with 2500 left-handed people guarantees the given margin error is 2%
{n-1-[n-1-(n-1)]} | Given
{n-1-[n-1-n+1]} | Distribute most inner negative
{n-1-n+1+n-1]} | Distribute next inner negative
n-1 | Simplify like terms
Answer:
Step-by-step explanation:
We know that a straight angle is equal to 180°. Therefore, 120°+(a)=180°
We can solve for (a) by subtracting 120 from 180, which is 60.
180-120=60
m∠a+120°=180°
m∠a=60°
We know that the sum of all angles in a triangle is 180°.
Therefore, (a)+60°+(b)=180°
We know that (a) is equal to 60°, so our new equation is:
60°+60°+b=180°
60+60=120
180-120=60
m∠b+60°+60°=180°
m∠b=60°
Answer:
13*13= 169
Step-by-step explanation: