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Zinaida [17]
3 years ago
6

What is the slope of the line that contains the points (6,4) and (13,5)

Mathematics
2 answers:
elena55 [62]3 years ago
7 0

Answer: 1/7

Step-by-step explanation:

Iteru [2.4K]3 years ago
7 0

Answer:

(4,2) (11,3)

Step-by-step explanation:

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In ΔTUV, the measure of ∠V=90°, TU = 5.4 feet, and VT = 1.6 feet. Find the measure of ∠T to the nearest degree.
katrin [286]

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<T = 73

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just did the assignment on Delta Math

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2 years ago
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Health insurance benefits vary by the size of the company (the Henry J. Kaiser Family Foundation website, June 23, 2016). The sa
xxMikexx [17]

Answer:

\chi^2 = \frac{(32-42)^2}{42}+\frac{(18-8)^2}{8}+\frac{(68-63)^2}{63}+\frac{(7-12)^2}{12}+\frac{(89-84)^2}{84}+\frac{(11-16)^2}{16}=19.221

Now we can calculate the degrees of freedom for the statistic given by:

df=(rows-1)(cols-1)=(3-1)(2-1)=2

And we can calculate the p value given by:

p_v = P(\chi^2_{2} >19.221)=0.000067

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(19.221,2,TRUE)"

Since the p values is higher than a significance level for example \alpha=0.05, we can reject the null hypothesis at 5% of significance, and we can conclude that the two variables are dependent at 5% of significance.

Step-by-step explanation:

Previous concepts

A chi-square goodness of fit test "determines if a sample data matches a population".

A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".

Solution to the problem

Assume the following dataset:

Size Company/ Heal. Ins.   Yes   No  Total

Small                                      32   18    50

Medium                                 68     7    75

Large                                     89    11    100

_____________________________________

Total                                     189    36   225

We need to conduct a chi square test in order to check the following hypothesis:

H0: independence between heath insurance coverage and size of the company

H1:  NO independence between heath insurance coverage and size of the company

The statistic to check the hypothesis is given by:

\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}

The table given represent the observed values, we just need to calculate the expected values with the following formula E_i = \frac{total col * total row}{grand total}

And the calculations are given by:

E_{1} =\frac{50*189}{225}=42

E_{2} =\frac{50*36}{225}=8

E_{3} =\frac{75*189}{225}=63

E_{4} =\frac{75*36}{225}=12

E_{5} =\frac{100*189}{225}=84

E_{6} =\frac{100*36}{225}=16

And the expected values are given by:

Size Company/ Heal. Ins.   Yes   No  Total

Small                                      42    8    50

Medium                                 63     12    75

Large                                     84    16    100

_____________________________________

Total                                     189    36   225

And now we can calculate the statistic:

\chi^2 = \frac{(32-42)^2}{42}+\frac{(18-8)^2}{8}+\frac{(68-63)^2}{63}+\frac{(7-12)^2}{12}+\frac{(89-84)^2}{84}+\frac{(11-16)^2}{16}=19.221

Now we can calculate the degrees of freedom for the statistic given by:

df=(rows-1)(cols-1)=(3-1)(2-1)=2

And we can calculate the p value given by:

p_v = P(\chi^2_{2} >19.221)=0.000067

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(19.221,2,TRUE)"

Since the p values is higher than a significance level for example \alpha=0.05, we can reject the null hypothesis at 5% of significance, and we can conclude that the two variables are dependent at 5% of significance.

3 0
3 years ago
Find the cost per ounce of a gold alloy made from 30 oz of pure gold that costs $1290 per ounce and 60 oz of an alloy that costs
Romashka [77]
The answer would be $24.55 per oz of gold alloy so rounded up would be $25
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Answer:

12

Step-by-step explanation:

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2 years ago
Find an equation for the line perpendicular to y=-1/2x+4 and goes through the point (-1,10)
Artemon [7]

The slope of the perpendicular line will be 2. Remember, a perpendicular slope is the negative reciprocal.

So, we can make the equation y=2x+b. We need to find b, and put b in.

To find b, put in the numbers of y and x.

10=2(-1)+b

Solve for b:

10=-2+b\\b=10+2\\b=12

Now replace b in the original equation with 12 and that will be the answer:

The answer is y=2x+12.

5 0
3 years ago
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