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3 years ago

What's 5,250 divided by 6

Mathematics

2 answers:

Leya [2.2K]3 years ago

8 0

Answer:

875

Step-by-step explanation:

5,250 divided by 6 is 875

ANTONII [103]3 years ago

5 0

875

Use a calculator lol

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A simple random sample of 110 analog circuits is obtained at random from an ongoing production process in which 20% of all circu

telo118 [61]

Answer:

64.56% probability that between 17 and 25 circuits in the sample are defective.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 110, p = 0.2$

$\mu = E(X) = np = 110*0.2 = 22$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{110*0.2*0.8} = 4.1952$

Probability that between 17 and 25 circuits in the sample are defective.

This is the pvalue of Z when X = 25 subtrated by the pvalue of Z when X = 17. So

X = 25

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

$Z = \frac{25 - 22}{4.1952}$

$Z = 0.715$

$Z = 0.715$ has a pvalue of 0.7626.

X = 17

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

$Z = \frac{17 - 22}{4.1952}$

$Z = -1.19$

$Z = -1.19$ has a pvalue of 0.1170.

0.7626 - 0.1170 = 0.6456

64.56% probability that between 17 and 25 circuits in the sample are defective.

4 0

3 years ago

On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapid

Dima020 [189]

Answer:

$L(t) = 4600\bigg(\dfrac{6}{7}\bigg)^{\frac{t}{2.4}}$

Step-by-step explanation:

We are given the following in the question:

Number of locusts on first day = 4600

Gain in locust population every 2.4 days =

$\dfrac{6}{7}$

Thus, we can write the following function to model locust population in t days.

$L(t) = 4600\bigg(\dfrac{6}{7}\bigg)^{\frac{t}{2.4}}$

is the required function.

L(t) is a dependent function on t, L(t) is locusts population and t is amount of time in days.

4 0

3 years ago

How do I do probability?

Katen [24]

Probability is the measurement of the likelihood of something happening

So, looking through the different questions, whether they have a graph or picture, you look at the numbers and divide by the total to determine the probablility.

Hope this helps

3 0

3 years ago

Read 2 more answers

The value of a piece of land deprecates at a rate of 0.60 per year after three years land is worth 2500 what was the original va

Setler79 [48]

Well, there is actually a formula for this kind of exercises:

n is the price the land had in the third year year

2500=n-nx0.6

2500=n(1-0.6)

2500=nx0.4

n=2500:0.4

n=6250

m is the price the land had in the second year

6250=m-mx0.6

6250=m(1-0.6)

6250=nx0.4

p=6250:0.4

p=15625

p is the price the land had in the first year

15625=p-px0.6

15625=p(1-0.6)

15625=px0.4

p=15625:0.4

p=39,062.5 <- this should be your answer. Hope this helps.

5 0

3 years ago

What is 1 fifth of a clock?

Whitepunk [10]

2.4 hours or 2 hours and 24 minutes represents $\frac{1}{5}$ of a clock.

The easiest way to find this is to divide 12 by 5 since there are twelve hours on a clock.
I got the 24 minutes by multiplying 60(minutes there are in an hour) by .4 and got 24.

6 0

3 years ago

Read 2 more answers