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A china shop receives a shipment of 125 dishes in 5 boxes. At this rate how many dishes will it receive in 15 boxes

garri49 [273]

The shop will receive 375 dishes in 15 boxes.

Step-by-step explanation:

Given,

5 boxes contain 125 dishes.

Unit rate in term of boxes;

1 box = $\frac{Total\ dishes}{No.\ of\ boxes}$

1 box = $\frac{125}{5} = 25$

Therefore,

1 box has 25 dishes.

15 boxes = 15*Dishes in 1 box

15 boxes = 15*25

15 boxes = 375 dishes

The shop will receive 375 dishes in 15 boxes.

Keywords: unit rate, division

Learn more about unit rate at:

#LearnwithBrainly

8 0

3 years ago

There are three cardinals, five sparrows and four finches near a bird feeder. If a sharp shunned hawk randomly selects one song

Hoochie [10]

Answer:

1/4

Step-by-step explanation:

The probability of it being a cardinal is the number of cardinals / the total number of possible birds the hawk could eat.

There are 3 + 5 + 4 = 12 total birds near the bird feeder.

There are 3 cardinals.

So the probability is 3/12 = 1/4 that the cardinal is eaten!

8 0

4 years ago

The graph of a quadratic function has a domain of (-∞, ∞) and range of [4, ∞). In two or more complete sentences, explain how th

lys-0071 [83]

RANGE gives you the possible y values. [4, ∞) means the lowest y value - y coordinate of the vertex is 4 and the y is increasing from 4 upwards towards infinity. The graph opens up.
DOMAIN gives you the possible x's. As you can see no restrictions.

3 0

3 years ago

Suppose a large shipment of stereos contained 18% defectives. If a sample of size 306 is selected, what is the probability that

xxMikexx [17]

Answer:

99.36% probability that the sample proportion will differ from the population proportion by less than 6%

Step-by-step explanation:

To solve this question, we need 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 normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a sample proportion p in a sample of size n, we have that the sampling distribution of the sample proportions has $\mu = p, s = \sqrt{\frac{p(1-p)}{n}}$ .

In this question:

$n = 306, p = 0.18, \mu = 0.18, s = \sqrt{\frac{0.18*0.82}{306}} = 0.0220$ .

What is the probability that the sample proportion will differ from the population proportion by less than 6%

This is the pvalue of Z when X = 0.18 + 0.06 = 0.24 subtracted by the pvalue of Z when X = 0.18 - 0.06 = 0.12. So

X = 0.24

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

By the Central Limit Theorem

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

$Z = \frac{0.24 - 0.18}{0.022}$

$Z = 2.73$

$Z = 2.73$ has a pvalue of 0.9968

X = 0.12

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

$Z = \frac{0.12 - 0.18}{0.022}$

$Z = -2.73$

$Z = -2.73$ has a pvalue of 0.0032

0.9968 - 0.0032 = 0.9936

99.36% probability that the sample proportion will differ from the population proportion by less than 6%

6 0

4 years ago

How many liters of water containing 7 grams of salt per liter must be combined with x liters of water which contains y grams [y

iVinArrow [24]

Answer:

$\frac{(2-y)x}{5}\text{ litres}$

Step-by-step explanation:

Let l litre of 7 grams of salt per litre is combined with x litres of water which contains y grams of salt per litre to yield a solution with 2 grams of salt per litre.

Thus,

Salt in l litre + salt in x litre = salt in resultant mixture

7l + xy = 2(l +x)

7l + xy = 2l + 2x

7l - 2l = 2x - xy

5l = x(2-y)

$\implies l =\frac{x(2-y)}{5}$

Hence, $\frac{x(2-y)}{5}$ litres of 7 gram of salt per litre is mixed.

5 0

3 years ago