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Leno4ka [110]
3 years ago
11

Derek has $20 to spend on used

Mathematics
2 answers:
goldfiish [28.3K]3 years ago
5 0
5x+2y = 20

For every hardcover book (x) you will be charged 5$.

For every paperback book (y) you will be charged 2$.

The amount of both types of books you buy has to be under or equal to 20$
UkoKoshka [18]3 years ago
5 0

Answer:

The equation is  5x + 2y = 20

Step-by-step explanation:

Total money Derek having = 20 $

Cost of hardcover book = 5 $

Cost of paperbacks = 2 $

We need to find equation in standard  form determines the number x of hardcover books and the number y  of paperback books he can buy.

Total cost of x hard cover books = 5x

Total cost of y paperback books = 2y

He has only 20 $

So we have

                  5x + 2y = 20

The equation is  5x + 2y = 20      

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the band members sold 316 juice drinks for a fundraiser. they sold 52 more grape drinks than strawberry drinks. how many of each
Delvig [45]
S+g=316  "s"=strawberry "g"=grape
g=52+s

plug in for "g" to find "s"
s+(52+s)=316
2s+52=316
2s=316-52
2s=264
s=264/2
s=132

find "g" 
g=52+132
g=184
4 0
3 years ago
Read 2 more answers
A carton of juice contains 64 ounces Miss Wilson bought six cartons of juice how many ounces of juice did she buy
Oduvanchick [21]

Answer:

384 ounces

Step-by-step explanation:

1 carton=64 oz

6 cartons=64×6=384

3 0
3 years ago
Read 2 more answers
Hypothesis Testing for Means with Small Samples
Scorpion4ik [409]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: volume of root beer in a Windsor Bottling Company can.

A sample of n=24 cans was taken and their contents measured, resulting:

X[bar]= 11.4 oz

S= 0.62 oz

Assuming that the variable has a normal distribution X~N(μ;σ²), the parameter of interest is the average contents of the root beer cans of the Windsor Bottling Company (μ)

The claim is that the population mean content of the cans is different from 12 oz, symbolically: μ ≠ 12

The statistical hypothesis (Null and alternative) have to be complementary, exhaustive and mutually exclusive. The null hypothesis is the "no change" hypothesis and always carries the "=" sign.

If the claim is μ ≠ 12, its complement is μ = 12, the expression carrying the "=" sign will be the null hypothesis and its complement will be the alternative hypothesis:

H₀: μ = 12

H₁: μ ≠ 12

α: 0.05

To test the population mean of this normal population, you have to apply a one sample t-test, with statistic:

t= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~t_{n-1}

t_{H_0}= \frac{11.4-12}{\frac{0.62}{\sqrt{24} } } = -4.74

This test is two-tailed, using the critical value approach, you have to determine two rejection regions. Meaning, you'll reject the null hypothesis to small values of the statistic or to high values of the statistic.

t_{n-1;\alpha /2}= t_{23;0.025}= -2.069

t_{n-1;1-\alpha /2}= t_{23;0.975}= 2.069

The decision rule is:

If t_{H_0} ≤ -2.069 or if t_{H_0} ≥ 2.069, then you reject the null hypothesis.

If -2.069 < t_{H_0} < 2.069, then you do not reject the null hypothesis.

The value is less than the left critical value, the decision is to reject the null hypothesis.

Then you can say that with a 5% significance level, there is significant evidence to reject the null hypothesis, then the average amount of root beer of the Windsor Bottling Company is different from 12 oz, this means that the claim about the amount of root beer in the cans is correct.

I hope it helps!

6 0
3 years ago
Jacob is a plumber. Due to increased material costs, he puts all his prices up by 7%. He now chargers R320 per hour for her serv
Lorico [155]

Answer:

R290.1

Step-by-step explanation:

Let

x = charge before he put his prices up

New charge = R320

Percentage increase in price = 7%

x + 7% of x = 320

x + 0.07 * x = 320

x + 0.07x = 320

1.07x = 320

x = 320/1.07

x = 299.06542056074

Approximately

x = R290.1

Charge before he put his prices up = R290.1

4 0
2 years ago
Could mud wrestling be the cause of a rash contracted by Washington State University students in the spring of 1992? Physicians
Daniel [21]
Thank you for posting your question here at brainly. Feel free to ask more questions.   
<span>
The best and most correct answer among the choices provided by the question is </span><span>A. Between 0.05 and 0.01 </span> .    
      <span>
Hope my answer would be a great help for you.  </span>
7 0
3 years ago
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