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2 years ago

If 3 pounds of potato-salad feeds 15 people, how many pounds would you need for 200 people?

1 answer:

5 0

If 3 pounds of potato salad feeds 15 people, then 1 pound of potato salad would feed 5 people. Now divide 200 by 5 to get the number of pounds. 200/5 = 40 pounds

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Find the percent of change. Round to the nearest percent.

katovenus [111]

Answer:

Step-by-step explanation:

You will have to use this formula

$\frac{new value-oldvalue}{oldvalue}$

When substituted in you have $\frac{30-66}{66}$

30-66=-36

-36/66= -0.54 (54 repeating)

Then you have to convert this into a percentage, -54.54(repeating) percent

To the nearest hundredth you would round down to<u> -54.5%</u>.

It is a Decrease because it is negatated.

8 0

2 years ago

The daily dinner bills in a local restaurant are normally distributed with a mean of $28 and a standard deviation of $6. What ar

Degger [83]

Answer:

The minimum value of the bill that is greater than 95% of the bills is $37.87.

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:

$\mu = 28, \sigma = 6$

What are the minimum value of the bill that is greater than 95% of the bills?

This is the 95th percentile, which is X when Z has a pvalue of 0.95. So X when Z = 1.645.

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

$1.645 = \frac{X - 28}{6}$

$X - 28 = 6*1.645$

$X = 37.87$

The minimum value of the bill that is greater than 95% of the bills is $37.87.

4 0

2 years ago

Pleasehelp me algebra 2

leva [86]

The average rate of change is 12.

27 - 3 = 24.

1 - (-1) = 2 [it’s essentially 1 + 1].

24/2 = 12.

4 0

3 years ago

W is the midpoint of VX and Z is the midpoint of VY . If XY=p and WZ=p–30, what is WZ?

juin [17]

$\large{ \tt{❃ \: EXPLANATION}} :$

You'll have to know : Mid-point theorem states that A straight line segment joining the mid-points of any two triangle is parallel to the third side and it is equal to half of the length of the third side.

We're provided : XY = p , WZ = p - 30 & we're asked to find out the value of WZ. For that , firstly we have to find out the value of p.

$\large{ \tt{❁ \: LET'S \: START }: }$

Set up an equation & solve for p :

$\large{ \bf{☄ \: p - 30 = \frac{1}{2} p }}$

$\large{ \tt{↦ \frac{1}{2} p = p - 30}}$

$\large{ \tt{↦ \frac{1}{2} p - p = - 30}}$

$\large{ \tt{↦ \frac{p - 2p}{2} = - 30 }}$

$\large{ \tt{↦p - 2p = - 60}}$

$\large{ \tt{ ↦ \: - p = - 60}}$

$\large{ \tt{↦p = 60}}$

The value of p is 60

$\large{ \tt{❇ \: REPLACING \: VALUE}} :$

$\large{ \tt{↬ \: wz = p - 30 = 60 - 30 = \boxed{\boxed{ \tt{30 }} }✔}}$

Hence , WZ = 30 .

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7 0

2 years ago

If A=B prove AUB=AnB

expeople1 [14]

If two sets are same let a and bthen we can say a= b
according to definition of intersection it is function that contains common enements from both setsas a=b so all elemnts are commonso a= a n bor b = a n b
in union the function has all elements of both sets and in set no element repeats so
a u b = aor a u b = b
as a u b = a or b and a n b = a or b so we can conclude here that
a u b = a n b as a = b // defined above

6 0

3 years ago