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ziro4ka [17]
3 years ago
5

What is the value of x ?!! Please HELP !!!!!! Will mark BRIANLIEST !!!!!!!!!

Mathematics
2 answers:
Arada [10]3 years ago
4 0

Answer:

81

Step-by-step explanation:

angles of a triangle always equal 180, so 41 +58=99, so subtract that from 180 and the remaining angle is 81

lord [1]3 years ago
3 0

Answer:

x = 81°

Step-by-step explanation:

58° + 41° + x = 180°( Sum of all interior angle of a triangle )

or, 99° + x = 180°

or, x = 180°-99°

or, x = 81°

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he price of oil recently went from ​$6.60 to ​$8.80 per case of 12 quarts. Find the ratio of the increase in price to the origin
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It increased by $2.20, so the increase is 2.20. But out of ten dollars, it should be a 24% increase.
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3 years ago
A ball is thrown with an initial speed of 17 mph in a direction that makes an angle of 22 degrees with the positive x-axis. Expr
Agata [3.3K]

Answer:

The speed of the ball in terms of i and j is (15.76 i, 6.37 j)

Step-by-step explanation:

Given;

velocity of the ball, v = 17 mph

angle of inclination, θ = 22⁰

The horizontal component of the velocity is calculated as;

V_x = Vcos\theta\\\\V_x = 17cos(22)\\\\V_x = 15.76 \ i

The vertical component of the velocity is calculated as;

V_y = Vsin\theta\\\\V_y = 17sin(22)\\\\V_y = 6.37 \ j

Therefore, the speed of the ball in terms of i and j is (15.76 i, 6.37 j)

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2 years ago
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Answer:

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7 0
2 years ago
Some scientists believe alcoholism is linked to social isolation. One measure of social isolation is marital status. A study of
frez [133]

Answer:

1) H0: There is independence between the marital status and the diagnostic of alcoholic

H1: There is association between the marital status and the diagnostic of alcoholic

2) The statistic to check the hypothesis is given by:

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

3) \chi^2 = \frac{(21-33.143)^2}{33.143}+\frac{(37-41.429)^2}{41.429}+\frac{(58-41.429)^2}{41.429}+\frac{(59-46.857)^2}{46.857}+\frac{(63-58.571)^2}{58.571}+\frac{(42-58.571)^2}{58.571} =19.72

4) 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} >19.72)=5.22x10^{-5}

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

"=1-CHISQ.DIST(19.72,2,TRUE)"

Since the p value is lower than the significance level so then we can reject the null hypothesis at 5% of significance, and we can conclude that we have association between the two variables analyzed.

Step-by-step explanation:

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:

                    Diag. Alcoholic   Undiagnosed Alcoholic    Not alcoholic    Total

Married                     21                              37                            58                116

Not Married              59                             63                            42                164

Total                          80                             100                          100              280

Part 1

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

H0: There is independence between the marital status and the diagnostic of alcoholic

H1: There is association between the marital status and the diagnostic of alcoholic

The level os significance assumed for this case is \alpha=0.05

Part 2

The statistic to check the hypothesis is given by:

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

Part 3

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{80*116}{280}=33.143

E_{2} =\frac{100*116}{280}=41.429

E_{3} =\frac{100*116}{280}=41.429

E_{4} =\frac{80*164}{280}=46.857

E_{5} =\frac{100*164}{280}=58.571

E_{6} =\frac{100*164}{280}=58.571

And the expected values are given by:

                    Diag. Alcoholic   Undiagnosed Alcoholic    Not alcoholic    Total

Married             33.143                       41.429                        41.429                116

Not Married     46.857                      58.571                        58.571                164

Total                   80                              100                             100                 280

And now we can calculate the statistic:

\chi^2 = \frac{(21-33.143)^2}{33.143}+\frac{(37-41.429)^2}{41.429}+\frac{(58-41.429)^2}{41.429}+\frac{(59-46.857)^2}{46.857}+\frac{(63-58.571)^2}{58.571}+\frac{(42-58.571)^2}{58.571} =19.72

Part 4

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} >19.72)=5.22x10^{-5}

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

"=1-CHISQ.DIST(19.72,2,TRUE)"

Since the p value is lower than the significance level so then we can reject the null hypothesis at 5% of significance, and we can conclude that we have association between the two variables analyzed.

7 0
3 years ago
Marisol is painting on a canvas that has an area of 180 square inches. The length of the painting is 11/4 times the width. What
Alona [7]
Notice the picture below, see the length "l"?

well \bf Area=l\times w\qquad 
\begin{cases}
l=\frac{11}{4}w\\
Area=180
\end{cases}\\\\
-----------------------------\\\\
thus
\\\\
180=\cfrac{11}{4}w\times w

solve for "w", to find the width,

what's the length?  well, l = 11/4 w

3 0
3 years ago
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