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Makovka662 [10]
3 years ago
10

Frank’s dog eats 6 ounces of dog food each day. Frank bought a 42-pound bag of dog food. How many 6-ounce servings are in 42-pou

nd bag of dog food?
Mathematics
1 answer:
iVinArrow [24]3 years ago
5 0
So it’ll be 42 divided by 6 since u want to know how many servings of 6 ounces can be served from a 42 pound bag
So 42/6= 7
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Homework 1:Pythagorean Theorem and it’s Converse<br><br> Find The Value of X
Viefleur [7K]

The figure gives a dimension for the hypotenuse of 19

the height is given as 17, using the Pythagorean theorem we can find the base of the triangle:

19^2 = 17^2 + base^2

Simplify:

361 = 289 + base^2

Subtract 289 from both sides:

72 = base^2

Take the square root of both sides:

Base = 8.49 Round to 8.5

There are two identical triangles on each sides, so 8.5 x 2 = 17

The length of the two triangle bases is 17

The total base of the object is 31, so the length of the rectangular part in the middle would be 31 - 17 = 14

And X would be the same length as the bottom rectangle.

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3 years ago
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Are there more children diagnosed with Autism Spectrum Disorder (ASD) in states that have larger urban areas over states that ar
Colt1911 [192]

Answer:

z=\frac{0.0211-0.0132}{\sqrt{0.0141(1-0.0141)(\frac{1}{18440}+\frac{1}{2123})}}=24.827  

p_v =P(Z>24.827)\approx 0  

So the p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of children with ASD in Utah is significantly higher than the proportion of children with ASD in Pennsylvania

Step-by-step explanation:

Data given and notation  

X_{P}=245 represent the number of children with ASD in Pennsylvania

X_{U}=45 represent the number of children with ASD in Utah

n_{P}=18440 sample for Pennsylvania

n_{U}=2123 sample for Utah

p_{P}=\frac{245}{18440}=0.0133 represent the proportion of children with ASD in Pennsylvania

p_{U}=\frac{45}{2123}=0.0212 represent the proportion of children with ASD in Utah

z would represent the statistic (variable of interest)  

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

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportion for Utah is higher than the proportion for Penssylvania  , the system of hypothesis would be:  

Null hypothesis:p_{U} \leq p_{P}  

Alternative hypothesis:p_{U} > \mu_{p}  

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

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

Where \hat p=\frac{X_{U}+X_{P}}{n_{U}+n_{P}}=\frac{245+45}{18440+2123}=0.0141

Calculate the statistic

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

z=\frac{0.0211-0.0132}{\sqrt{0.0141(1-0.0141)(\frac{1}{18440}+\frac{1}{2123})}}=24.827  

Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.  

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

p_v =P(Z>24.827)\approx 0  

So the p value is a very low value and using any significance level for example \alpha=0.05, 0,1,0.15 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the the proportion of children with ASD in Utah is significantly higher than the proportion of children with ASD in Pennsylvania

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Answer:

Here u go bro. You have to just replace y and x with zero and then draw the I think structure say say:')

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Refer to the attached image. Since one vertex is the origin and the other two lay on the coordinate axes, the triangle is a right triangle. This means that, if we consider AB to the be base, AC is his height, and vice versa.

Anyway, it means that the area is given by

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\overline{AB} = |2-0| = |2| = 2

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Answer:

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