One angle is 36°. What is the measure of its complement?

balandron [24]

Vertical angles theorem

8 0

2 years ago

bill has a bike that weights 56 pounds . magda has a bike that weights 52 pounds. she add a bell and a basket to her bike. the b

pickupchik [31]

No because she's adding ounces plus 2 pounds so she's up to 54 pounds so... plus the 12 ounces and 8 ounces, and 12 ounces into 1 pound would be 0.75 so it's almost a pound....then 8 ounces into a pound would be 0.5 pounds so if you add the two 0.75 and 0.5 you would get 1.25 pounds... so 1.25 plus 54 pounds would not be 56 pounds...So No. Please mark brainliest:)!

7 0

2 years ago

A researcher wishes to see if the five ways (drinking decaffeinated beverages, taking a nap, going for a walk, eating a sugary s

e-lub [12.9K]

Answer:

$\chi^2 = \frac{(21-12)^2}{12}+\frac{(16-12)^2}{12}+\frac{(10-12)^2}{12}+\frac{(8-12)^2}{12}+\frac{(5-12)^2}{12}=13.833$

$p_v = P(\chi^2_{4} >13.833)=0.00785$

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

"=1-CHISQ.DIST(13.833,4,TRUE)"

Since the p value is lower than the significance level we can reject the null hypothesis at 5% of significance, and we can conclude that the drowsiness are NOT equally distributed among office workers .

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".

Assume the following dataset:

Method Beverage Nap Walk Snack Other

Number 21 16 10 8 5

The total on this case is 60

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

H0: Drowsiness are equally distributed among office workers

H1: Drowsiness IS NOT equally distributed among office workers

The level of significance assumed for this case is $\alpha=0.1$

The statistic to check the hypothesis is given by:

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

The table given represent the observed values, we just need to calculate the expected values with the following formula $E_i = \frac{total}{5}$

And the calculations are given by:

$E_{Beverage} =\frac{60}{5}=12$

$E_{Nap} =\frac{60}{5}=12$

$E_{Walk} =\frac{60}{5}=12$

$E_{Snack} =\frac{60}{5}=12$

$E_{Other} =\frac{60}{5}=12$

And the expected values are given by:

Method Beverage Nap Walk Snack Other

Number 12 12 12 12 12

And now we can calculate the statistic:

$\chi^2 = \frac{(21-12)^2}{12}+\frac{(16-12)^2}{12}+\frac{(10-12)^2}{12}+\frac{(8-12)^2}{12}+\frac{(5-12)^2}{12}=13.833$

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

$df=(catgories-1)=(5-1)=4$

And we can calculate the p value given by:

$p_v = P(\chi^2_{4} >13.833)=0.00785$

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

"=1-CHISQ.DIST(13.833,4,TRUE)"

Since the p value is lower than the significance level we can reject the null hypothesis at 5% of significance, and we can conclude that the drowsiness are NOT equally distributed among office workers .

7 0

3 years ago

In a clinical trial for a new headache medication, participants are randomly assigned to a treatment group or a placebo group. T

RUDIKE [14]

Single blind experiment

3 0

2 years ago

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A triangle has one angle that measures 19 degrees, one angle that measures 118 degrees, and one angle that measures 43 degrees.

grandymaker [24]

Answer:

B. obtuse triangle

Step-by-step explanation:

Obtuse triangles are triangles with one obtuse angle and two acute angles. Define obtuse angles as angles over 90 degrees and acute angles as angles less than 90 degrees.

In this triangle:

118 degrees - obtuse angle

19 degrees - acute angle

43 degrees - acute angle

Thus, this triangle is an obtuse triangle.

7 0

2 years ago

Read 2 more answers