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Stolb23 [73]
3 years ago
9

What is the answer if u know it?​

Mathematics
2 answers:
Molodets [167]3 years ago
3 0

Answer:

minimum point

(5,4)(-2,4)

Lera25 [3.4K]3 years ago
3 0

Answer:

I add a photo in my answer... I hope it's explain how I solved

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A manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.5 years, and standard deviation of
Alina [70]

Answer:

If 24 items are picked at random, 8% of the time their mean life will be less than 5.156 years.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using 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.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 5.5, \sigma = 1.2, n = 24, s = \frac{1.2}{\sqrt{24}} = 0.2449

If 24 items are picked at random, 8% of the time their mean life will be less than how many years?

This is the value of X when Z has a pvalue of 0.08. So it is X when Z = -1.405.

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

-1.405 = \frac{X - 5.5}{0.2449}

X - 5.5 = -1.405*0.2449

X = 5.156

If 24 items are picked at random, 8% of the time their mean life will be less than 5.156 years.

3 0
3 years ago
For the second week of June, Kevin Adams worked 46 hours. Kevin earns $18.40 an hour. His employer pays overtime for all hours w
zimovet [89]

<u>Answer:</u>

$165.60 overtime money only

$736 regular time only

added together (gross income)

$901.60

<u>Step-by-step explanation:</u>

  • 46hrs
  • 18.40 an hr
  • hrs <em>over</em> 40 = overtime= *1.5

To figure out if there is any overtime here, we <em>subtract</em>.

46-40= 6hrs of overtime

To figure out the amount of cash gained for regular time, we <em>multiply.</em>

40*18.40 = 736

----------------

We need to know how much money is paid per overtime hour.

18.40*1.5 = 27.60

To figure out the amount of cash gained during overtime, we <em>multiply.</em>

6*27.60 = 165.60

<em>add</em> for gross income (total earnings)

165.60+736 = 901.60

7 0
2 years ago
If f(x) = 4^x - 8 and g(x) = 5x + 6, find (f - g)(x)
olganol [36]

Answer:

4^x-5x-14

Step-by-step explanation:

f-g=(4^x-8)-(5x+6)=4^x-8-5x-6=4^x-5x-14

6 0
3 years ago
Read 2 more answers
Find a Job !!20 POINTS!!
NeTakaya
Cashier at target would be the best option
Weekly check would get you $173.25
Monthly would get you $693
Yearly would get you $8316

Hope this helps
5 0
2 years ago
Read 2 more answers
HELP PLEASE!! 13 Points Offered
Sholpan [36]

Answer:

C: 124

Step-by-step explanation:

If you look at the angle it has to be over 90 degrees so therefore your only option is C: 124.

4 0
2 years ago
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