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ololo11 [35]
3 years ago
12

40% of the groups budget was spent on activities. If $64,000 was spent on the activities, what was the full budget? solve with t

he aid of a diagram. State what type of problem this is. if it's division, which type? Explain your reasoning, not just by using an equation.

Mathematics
1 answer:
Andre45 [30]3 years ago
7 0

Answer:

The full budget has a total value of $160,000

Step-by-step explanation:

This is a simple ratio problem and can be solved using the Rule of Three property. The Rule of Three is used to compare two ratios and find the missing part. In this case the ratios would be the following.

\frac{64,000}{40 percent} = \frac{x}{100 percent}

\frac{64,000 * 100 percent}{40 percent} = \frac{x}

\frac{6,400,000}{40 percent} = \frac{x}

160,000= \frac{x}

So now we know that 100% (The full budget) has a total value of $160,000.

I hope this answered your question. If you have any more questions feel free to ask away at Brainly.

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Suppose your marginal cost of making a peanut butter and jelly sandwich is constant at $10, but the marginal benefit of eating t
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Answer:

At most 3 sandwiches i would eat at this situation

Step-by-step explanation:

Making a first sandwich has a constant value 10$ but its marginal benefit is 12$. There is a 2$ benefit exist if i eat one.

Making the second one costs 20$ but its marginal benefit is 22$. Still 2$ benefit is exist if i eat the second one also.

Making the third one costs 30$ ant its marginal benefit also 30$. There is a even situation here. Making three sandwiches still an option.

After third one marginal benefit becomes lower than marginal cost of sandwiches.

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3 years ago
What is an advantage of portrait orientation for portrait photography (photos of people)?
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Answer:

all of the above

Step-by-step explanation:

The point of portrait orientation is to make it so the picture focuses on the person. In order to do this you need to minimize the background, place attention on the foreground, and show more context

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3 years ago
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There are thirteen shirts in your closet,
Inessa05 [86]

11 shirts

Step-by-step explanation:

You start off with 13, wear one monday, 12, then another tuesday 11

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3 years ago
While her husband spent 2½ hours picking out new speakers, a statistician decided to determine whether the percent of men who en
AVprozaik [17]

Answer:

z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}   (1)

z=\frac{0.34848-0.34782}{\sqrt{0.34831(1-0.34831)(\frac{1}{66}+\frac{1}{23})}}=0.0057  

p_v =P(Z>0.0057)=0.4977  

The p value is a very high value and using the significance level \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the percent of men who enjoy shopping for electronic equipment is NOT significantly higher than the percent of women who enjoy shopping for electronic equipment.  

Step-by-step explanation:

1) Data given and notation  

X_{M}=23 represent the number of men that said they enjoyed the activity of Saturday afternoon shopping

X_{W}=8 represent the number of women that said they enjoyed the activity of Saturday afternoon shopping

n_{M}=66 sample of male selected

n_{W}=23 sample of demale selected

p_{M}=\frac{23}{66}=0.34848 represent the proportion of men that said they enjoyed the activity of Saturday afternoon shopping

p_{W}=\frac{8}{23}=0.34782 represent the proportion of women with red/green color blindness  

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the percent of men who enjoy shopping for electronic equipment is higher than the percent of women who enjoy shopping for electronic equipment , the system of hypothesis would be:  

Null hypothesis:p_{M} \leq p_{W}  

Alternative hypothesis:p_{M} > p_{W}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}   (1)

Where \hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{23+8}{66+23}=0.34831

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.34848-0.34782}{\sqrt{0.34831(1-0.34831)(\frac{1}{66}+\frac{1}{23})}}=0.0057  

4) Statistical decision

Using the significance level provided \alpha=0.05, the next step would be calculate the p value for this test.  

Since is a one side right tail test the p value would be:  

p_v =P(Z>0.0057)=0.4977  

So the p value is a very high value and using the significance level \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the percent of men who enjoy shopping for electronic equipment is NOT significantly higher than the percent of women who enjoy shopping for electronic equipment.  

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Your answer is 16+4i
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