What is the next term of 500, 100, 20
2 answers:
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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:
∞
Step-by-step explanation:
The equation describes a velocity curve that has an asymptote of 80 ft/s. The skydiver will <em>never</em> have a velocity of 120 ft/s.
1. let the score on 1st test be = x
Given average is = 92
2nd tests scores are = 97 (assume this as y)
3rd test score = 89 (assume this as z)
Average =
Hence, 1st day score was 90.
2. Let the original recipe made x cookies
As given she doubled her recipe so 2x cookies
Her brothers ate 8 cookies, this gives 2x-8 cookies left
She gave 2 dozen or 24 cookies to the neighbor and left with 12 cookies, it becomes
This gives
or
Hence 1 recipe makes 22 cookies.
3. As given in the table,
Time used in total by boys = 255 minutes
Time used by girls in total = 213 minutes
Time used for school work by boys = 33 minutes
Time used by boys other than schoolwork = 255-33 = 222 minutes
Time used for school work by girls = 72 minutes
Time used by girls other than schoolwork = 213-72 = 141 minutes
How many more minutes per week do boys spend using the internet for purposes other than schoolwork then girls = 222-141 = 81 minutes
Hence, boys use 81 more minutes than girls for work other than schoolwork.
4. Total amount by two films = $775 million
Let x be the receipts of the second highest box office film.
Let x + 97 be the receipts of the highest one.
Equation becomes
Hence highest receipt movie brought in
The film with highest receipts bought in $436 million.
5. Vice President elected in the year = 1944
Died in the year = 1972
Total time in between = years
Age at the time of death = 88
So, he was elected 28 years back and that time his age was =
He was elected at the age of 60 years.