Step-by-step explanation:
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Answer: a) -0.2252, b) 0.8219
Step-by-step explanation:
Since we have given that
Sample size n = 100
Probability that candies are blue = p= 0.26
Probability that company claims that it is blue candy = P = 0.27
So, Q = 1-P= 1-0.27 = 0.73
So, Null hypothesis : 
Alternate hypothesis : 
So, the test statistic would be

Since α = 0.05
So, critical value of z = 1.96
p-value = P(Z>Z(calculated)
Using the excel function , we get that

Hence, a) -0.2252, b) 0.8219
Using a system of equations, it is found that since 20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.
<h3>What is a system of equations?</h3>
A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
- Variable c: number of child bikes.
- Variable a: number of adult bikes.
Each child bike requires 4 hours to build, as do each adult bike. The company has 100 hours of testing, hence:
4c + 4a = 100.
c + a = 25.
With 20 child bikes and 6 adult bikes in a week, we have that c = 20, a = 26, hence:
c + a = 26
20 child bikes and 6 adult bikes would require more testing than the allocated time, it is not possible to build this amount.
More can be learned about a system of equations at brainly.com/question/24342899
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Answer: No
Step-by-step explanation:-
Labeled diameter on the bolt = 0.35 inch
The observed diameter of the bolt= 0.33 inch


For the bolt to be in the package, the percent error must be less than 5%. As the percent error is 6.06% which is greater than 5%, the bolt cannot be in the package.
Answer:
3x-2y=6
Step-by-step explanation:
Subtract 3x from both sides of the equation
Divide each term by −2 and simplify.
y=-3+
Rewrite in slope-intercept form
y=
Use the slope-intercept form to find the slope and y-intercept.
Find the values of m and b using the form y=mx+b


The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 
y-intercept: -3
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Choose 0 to substitute in for x to find the ordered pair.
(0,−3)
Choose 1 to substitute in for x to find the ordered pair.

Graph the line using the slope and the y-intercept, or the points.
slope:
y-intercept:-3