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Svetlanka [38]
3 years ago
7

Mr.Richards' class is holding a canned food drive for charity. Juliet collected 10 more cans than Rosana. Santiago collected twi

ce as many cans as juliet. If they collected 130 cans altogether, how many cans did juliet collect?
Mathematics
1 answer:
ollegr [7]3 years ago
5 0
She obtained 30 cans
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What is the value of |B| – |A|? <br><br> A. 4<br> B. –10<br> C. 10<br> D. –4
Elena L [17]

Answer:

A. 4

Step-by-step explanation:

We can look at the number line and find B and A

we get

B=-7

A=3

now, we can find |B| and |A|

|B|=|-7|=7

|A|=|3|=3

now, we can find

|B|-|A|

now, we can plug values

|B|-|A|=7-3

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option-A

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3 years ago
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The researchers are concerned that the dollars spent per shopper examined in the study is too different from what has been found
Katarina [22]

Answer:

Step-by-step explanation:

Hello!

To study if the average dollars spend per shopper is different than the expected population average of $84.5 there was a sample of 120 shoppers taken and their spending habit registered.

Then the study variable is:

X: Amount of money spent by a shopper ($)

This population standard deviation is σ= $16

Using the data information I've run a normality test, with p-value: 0.3056 against the test significance level α: 0.05, the decision is to not reject the null hypothesis so there is enough statistical evidence to conclude that the study variable has a normal distribution.

X~N(μ;σ²)

I've also calculated the sample mean and standard deviation:

X[bar]= $81.01

S= $19.62

a.

If the objective is to test that the true mean spending for the population is significantly different than the expected average of 84.5, the parameter of interest is the population mean μ and the hypothesis test will be two-tailed.

H₀: μ = 84.5

H₁: μ ≠ 84.5

α:0.05

The statistic is a standard normal for one sample:

Z= \frac{X[bar]-Mu}{\frac{Sigma}{\sqrt{n} } } ~N(0;1)

Z_{H_0}= \frac{81.01-84.5}{\frac{16}{\sqrt{120} } } = -2.389

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b.

The decision rule using the p-value method is:

If p-value ≤ α ⇒ Reject the null hypothesis.

If p-value > α ⇒ Do not reject the null hypothesis.

Since the p-value is less than the significance level, the decision is to reject the null hypothesis.

c.

Using a level of significance of 5% the null hypothesis was rejected. So there is enough statistical evidence to support the researcher's claim that the true mean spending for the population is significantly different than the expected average of $84.5.

I hope it helps!

3 0
3 years ago
How many busses are needed to transport 495 people if each bus holds 45 people?
Katarina [22]

Answer: 11

Step-by-step explanation:  You divide 495/45 and you get 11

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An alloy of silver and gold is to be recast with an addition of silver. This new alloy consists of 80 ounces and is to have only
Liula [17]

Answer:

What percentage of gold is in the new alloy after the recasting? 4

Step-by-step explanation:

(80/5)*(1/5)/80=0.04

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Multiply your total by your percentage

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