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It takes 1/3 cups of powered punch mix to make 2/3 gallons of punch. If the recipe is for 1 gallon of punch, how much punch is n

podryga [215]

$\dfrac{1}{8}$

Step-by-step explanation:

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Number of powered punch mix cups required to make $\frac{2}{3}$ gallons of punch is $\frac{1}{3}$

Number of powered punch mix cups required to make $\frac{2}{3}$ gallons of punch is $\frac{3}{2}\times$ $\frac{1}{3}$ = $\frac{1}{2}$

Since the recipe is for $1$ gallon,

$\frac{1}{2}$ powered punch mix cups are required to make the complete recipe.

$\frac{1}{4} \times \frac{1}{2}$ powered punch mix cups are required to make $\frac{1}{4}$ recipe.

So, $\frac{1}{8}$ cups of powered punch mix cups are required to make $\frac{1}{4}$ recipe.

5 0

3 years ago

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Two regular octagons have a scale factor of 2:7. Determine the ratio of their perimeters and the ratio of their areas.

saul85 [17]

Hey lol so u said this and that and I’m jt doing this to get stuff lol

4 0

3 years ago

CARLOS HAS $10 MORE THAN JEREMY. JEREMY HAS $5 MORE THAN MICHELE . ALTOGETHER THEY HAVE $80 . WHAT PART OF 100 DOES MICHELE HAVE

KonstantinChe [14]

In total they have $80 so that means Carlos have 35 Jeremy have 25 and Michele have 20 then 20 divide 80 gives u the percentage out of 100 the answer is 25

5 0

4 years ago

Not Answered Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal f

ehidna [41]

Answer:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

$z=\frac{0.410-0.350}{\sqrt{0.382(1-0.382)(\frac{1}{1000}+\frac{1}{900})}}=2.688$

$p_v =2*P(Z>2.688)= 0.0072$

Comparing the p value with the significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportions analyzed are significantly different at 5% of significance.

Step-by-step explanation:

Data given and notation

$X_{1}=410$ represent the number of people indicating that their financial security was more than fair in 2012

$X_{2}=315$ represent the number of people indicating that their financial security was more than fair in 2010

$n_{1}=1000$ sample 1 selected

$n_{2}=900$ sample 2 selected

$p_{1}=\frac{410}{1000}=0.410$ represent the proportion estimated of people indicating that their financial security was more than fair in 2012

$p_{2}=\frac{315}{900}=0.350$ represent the proportion estimated of people indicating that their financial security was more than fair in 2010

$\hat p$ represent the pooled estimate of p

z would represent the statistic (variable of interest)

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

$\alpha=0.05$ significance level given

Part a: Concepts and formulas to use

We need to conduct a hypothesis in order to check if is there is a difference between the two proportions, the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

Hypothesis testing

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

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{410+315}{1000+900}=0.382$

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

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

$z=\frac{0.410-0.350}{\sqrt{0.382(1-0.382)(\frac{1}{1000}+\frac{1}{900})}}=2.688$

Statistical decision

Since is a two sided test the p value would be:

$p_v =2*P(Z>2.688)= 0.0072$

Comparing the p value with the significance level assumed $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to to reject the null hypothesis, and we can say that the proportions analyzed are significantly different at 5% of significance.

3 0

4 years ago

Evaulate<br> -7(5+3)-|-6|

s2008m [1.1K]

-7(8)-|-6|
-56-6 = -62

7 0

3 years ago

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