Answer:
The bolts with diameter less than 5.57 millimeters and with diameter greater than 5.85 millimeters should be rejected.
Step-by-step explanation:
We have been given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviation of 0.08 millimeters.
Let us find the sample score that corresponds to z-score of bottom 4%.
From normal distribution table we got z-score corresponding to bottom 4% is -1.75 and z-score corresponding to top 4% or data above 96% is 1.75.
Upon substituting these values in z-score formula we will get our sample scores (x) as:
Therefore, the bolts with diameters less than 5.57 millimeters should be rejected.
Now let us find sample score corresponding to z-score of 1.75 as upper limit.
Therefore, the bolts with diameters greater than 5.85 millimeters should be rejected.
Answer:
The value of one box in the tape diagram will be 21 square feet
Step-by-step explanation:
Here, we have the total ratio added as 4 + 3 + 2 = 9
So the area of one box on the tape diagram will be the combined area divided by the total square feet
Mathematically, that will be;
189 square feet/9 = 21
The picture is completely black I’m not sure if that’s what you’re trying to fix but I think you didn’t uploads it correctly.
Complete question :
dion places a ladder against The side of his house as shown in the diagram below. Dion’s water is 26 feet long, and he places the ladder at a 70° angle with the ground, How high does the ladder reach up the side of the building?.
Answer:
24.43 feets
Step-by-step explanation:
Using trigonometry :
Sinθ = opposite / hypotenus
Opposite = height, h
Hypotenus = 26
Sin 70° = h / 26
0.9396926 * 26 = h
height, h = 24.43 feets
Answer:
Step-by-step explanation
subtract 8 from both sides
8-2x-8=-4x+4-8
simplify
-2x=-4x-4
add 4x to both sides
-2x+4x=-4x-4+4x
Simplify
2x=-4
divide both sides by 2
2x/2=4/2
simplify
x=-2
