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4 years ago

van someone please help me with this i dont need an explaination i just need a. b. c. or d. please and thank you

Mathematics

1 answer:

Talja [164]4 years ago

5 0

Answer:

option C

$f(x)=-\sqrt{x+3}+8$

Step-by-step explanation:

we have

$f(x)=-2\sqrt{x-3}+8$

using a graphing tool

see the attached figure N $1$

The range is the interval--------> (-∞,8]

$y\leq 8$

case A) $f(x)=\sqrt{x-3}-8$

using a graphing tool

The range is the interval--------> [-8,∞)

$y\geq -8$

case B) $f(x)=\sqrt{x-3}+8$

using a graphing tool

The range is the interval--------> [8,∞)

$y\geq 8$

case C) $f(x)=-\sqrt{x+3}+8$

using a graphing tool

The range is the interval--------> (-∞,8]

$y\leq 8$

case D) $f(x)=-\sqrt{x-3}-8$

using a graphing tool

The range is the interval--------> (-∞,-8]

$y\leq -8$

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Ball bearings are manufactured with a mean diameter of 5 millimeters(mm). Because of variability in the manufacturing process, t

dexar [7]

Answer:

a) 0.0668 of ball bearings have a diameter more than 5.03 mm

b) 0.0124 of ball bearings will be discarded

c) The plant manager should expect to discard 372 balls.

d) 57,710 ball bearings should be manufactured.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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 question, we have that:

$\mu = 5, \sigma = 0.02$

(a) What proportion of ball bearings has a diameter more than 5.03 mm?

This is 1 subtracted by the pvalue of Z when X = 5.03. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{5.03 - 5}{0.02}$

$Z = 1.5$

$Z = 1.5$ has a pvalue of 0.9332

1 - 0.9332 = 0.0668

0.0668 of ball bearings have a diameter more than 5.03 mm

(b) Any ball bearings that have a diameter less than 4.95 mm or greater than 5.05 mm are discarded. What proportion of ball bearings will be discarded?

Lower than 4.95 or greater than 5.05. Both these proportions are the same, so we find one of them, and multiply by 2.

Less than 4.95:

pvalue of Z when X = 4.95. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{4.95 - 5}{0.02}$

$Z = -2.5$

$Z = -2.5$ has a pvalue of 0.0062

2*0.0062 = 0.0124

0.0124 of ball bearings will be discarded.

(c) Using the results of part (b), if 30,000 ball bearings are manufactured in a day, how many should the plant manager expect to discard?

0.0124 of 30,000. So

0.0124*30000 = 372

The plant manager should expect to discard 372 balls.

(d) If an order comes in for 50,000 ball bearings, how many bearings should the plant manager manufacture if the order states that all ball bearings must be between 4.97 mm and 5.03 mm?

Proportion of bearings between 4.97 mm and 5.03 mm:

pvalue of Z when X = 5.03 subtracted by the pvalue of Z when X = 4.97. So

X = 5.03

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{5.03 - 5}{0.02}$

$Z = 1.5$

$Z = 1.5$ has a pvalue of 0.9332

X = 4.97

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{4.97 - 5}{0.02}$

$Z = -1.5$

$Z = -1.5$ has a pvalue of 0.0668

0.9332 - 0.0668 = 0.8664 of ball bearings will have adequate proportions. So 0.8664 of x should be 50,000. then

$0.8664x = 50000$

$x = \frac{50000}{0.8664}$

$x = 57 710$

57,710 ball bearings should be manufactured.

3 0

3 years ago

Va rog ajutati-ma cu exercitiile bifate

stellarik [79]

Sorry man I would help but I don’t understand the language :(

3 0

3 years ago

Kendra says that she can draw angle A and angle B so that m angle A is 119 degrees and angle A and angle B are complementary ang

melisa1 [442]

The answer would be disagree. This is because complementary angles must ADD to make 90 degrees. This is not possible if one of the angles is 119 degrees

3 0

3 years ago

Please help me answer this question

bulgar [2K]

Answer:

the answer is c, f(x)=3^x+3

Step-by-step explanation:

i hope this helped

5 0

3 years ago

At a farmers market, taylor buys 4 pounds of cherries, 2 pounds of strawberries, and 3 pounds of blueberries for $29.51. heather

SCORPION-xisa [38]

The system of equations that model the situation is:

4c + 2s+ 3b == $29.51

c + 4s + 2b = $21.83

2c + 5s = $21.93

<h3>What are simultaneous equations?</h3>

Simultaneous equations are more than one equation that would have to be solved jointlu in order to determine the required values.

Methods of solving simultaneous equations are:

Elimination method
Graph method
Substitution method

To learn more about simultaneous equations, please check: brainly.com/question/25875552

8 0

2 years ago