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LenKa [72]
3 years ago
14

How many 1/2 cup servings are there in 7/8 cup of peanut butter

Mathematics
1 answer:
Semmy [17]3 years ago
4 0
You must be Divide with fractions.

7/8/1/2 then flip with 1/2 to 2/1 and multiply.

And the answer is 1 and 3/4

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Suppose a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%. A cell phon
leva [86]

Answer:

We conclude that the actual percentage of households is equal to 30%.

Step-by-step explanation:

We are given that a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%.

Their marketing people survey 150 households with the result that 43 of the households have three cell phones.

Let p = <u><em>proportion of households that have three cell phones NOT known.</em></u>

So, Null Hypothesis, H_0 : p = 30%      {means that the actual percentage of households is equal to 30%}

Alternate Hypothesis, H_A : p \neq 30%     {means that the actual percentage of households different from 30%}

The test statistics that would be used here <u>One-sample z-test for proportions;</u>

                                T.S. =  \frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion of households having three cell phones = \frac{43}{150} = 0.29

           n = sample of households = 150

So, <u><em>the test statistics</em></u>  =  \frac{0.29-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }  

                                     =  -0.27

The value of z test statistic is -0.27.

<u>Also, P-value of the test statistics is given by;</u>

              P-value = P(Z < -0.27) = 1 - P(Z \leq 0.27)

                            = 1 - 0.6064 = <u>0.3936</u>

<u>Now, at 1% significance level the z table gives critical value of -2.58 and 2.58 for two-tailed test.</u>

Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which <em><u>we fail to reject our null hypothesis</u></em>.

Therefore, we conclude that the actual percentage of households is equal to 30%.

4 0
3 years ago
A) 2(x+3)=x-4 <br>Could anyone help?​
oee [108]
If solving for x you will first need to combine like terms. Then after getting the amount of numbers and amount of x numbers you will divide the x number from both. After doing that you would get X=-10
7 0
2 years ago
A hot-air balloon is released at ground level, and it rises into the air at a constant rate. After 5 seconds the height of the b
mr_godi [17]

The constant rate = 20 ft / 5 seconds = 4 feet per second

Find the chart that shows an increase of 4 feet for every second the balloon travels.

3 0
2 years ago
Find the coordinates of the point (a, b).
Leviafan [203]

Answer:

a = \frac{1}{\sqrt{2} } and b = \frac{\sqrt{2} }{2}

Step-by-step explanation:

As we know, the radius of the unit circle is 1 unit (it is the hypotenuse in the right triangle, the blue line)

We use trigonometric formulas to find out a and b

  • Sin(45) = opposite side / hypotenuse

<=> Sin(45) = b / 1

<=> b= Sin(45)*1 = \frac{\sqrt{2} }{2}

  • Cos(45) = adjacent side / hypotenuse

<=> Cos(45) = a / 1

<=> a =  Cos(45)*1 = \frac{1}{\sqrt{2} }

So: a = \frac{1}{\sqrt{2} } and b = \frac{\sqrt{2} }{2}

5 0
3 years ago
One of the ideas that you have explored in previous courses is how to describe a set of data.
Setler79 [48]

Answer:

Step-by-step explanation:

M = (35 + 40 + 12 + 16 + 25 + 10)/5

M = 138/5

M = 27.6

7 0
3 years ago
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