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pav-90 [236]
3 years ago
15

Which expression can be used to determine the length of segment AB? On a coordinate plane, triangle A B C has points (4, 3), (ne

gative 2, 1), (negative 2, 3). StartRoot 2 squared + 6 squared EndRoot StartRoot 2 squared minus 6 squared EndRoot StartRoot 6 squared minus 2 squared EndRoot StartRoot (2 + 6) squared EndRoot
Mathematics
2 answers:
JulijaS [17]3 years ago
7 0

Answer:

StartRoot 2 squared + 6 squared EndRoot

Step-by-step explanation:

we have

A(4,3) and B(-2,1)

we know that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

substitute the given values

AB=\sqrt{(1-3)^{2}+(-2-4)^{2}}

AB=\sqrt{(-2)^{2}+(-6)^{2}}

AB=\sqrt{40}\ units

therefore

StartRoot 2 squared + 6 squared EndRoot

Arlecino [84]3 years ago
5 0

Answer:

StartRoot 2 squared + 6 squared EndRoot

Step-by-step explanation:

good luck :)

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An angle measures 54° less than the measure of a supplementary angle. What is the measure of each angle?
Katen [24]
X+x+54=180
2x+54=180
2x=126
x=63
63+54=117
one angle is 63, the other is 117
8 0
3 years ago
Use the given information to find the p​-value. ​Also, use a 0.05 significance level and state the conclusion about the null hyp
Hatshy [7]

Answer:

We can assume that the statistic is z_{calc}=0.78

p_v = 2* P(z>0.78) = 0.435

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5

Step-by-step explanation:

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is equal to 3/5 or not.:  

Null hypothesis:p=3/5  

Alternative hypothesis:p \neq 3/5  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

We can assume that the statistic is z_{calc}=0.78

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:

p_v = 2* P(z>0.78) = 0.435

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the true proportion of interest is not different from 3/5

7 0
3 years ago
Justin had cows ,sheep,and goats the number of cows was 32 and number of sheep was 12×the number of cows the number of goats was
iragen [17]

Answer:

432

Step-by-step explanation:

number of :cows =32

: sheep=12×32 =384

: goats = 1345+384=1728

if he seal 3/4 of his goat ........

3/4×1728= 1296

the remained goat is :

1728-1296=432

8 0
3 years ago
Evaluate (if possible) the six trigonometric functions of the real number. (If not possible, enter IMPOSSIBLE.)
kotegsom [21]

\sin(t) =  \frac{1}{2} 
\\
\\ \cos(t) = - \frac{ \sqrt{3} }{2} 
\\
\\ \tan(t) =  \frac{\sin(t)}{\cos(t)}= - \frac{1}{ \sqrt{3} } 
\\
\\ \csc(t) =  \frac{1}{\sin(t)}= 2 
\\
\\ \sec(t) =\frac{1}{\cos(t)}=- \frac{2}{ \sqrt{3}}  
\\
\\ \cot(t) = \frac{1}{\tan(t)}=- \sqrt{3}

3 0
3 years ago
Pls help, I rlly need help.
riadik2000 [5.3K]

Answer:

AC = 15, CM = 20, CP = 12

Step-by-step explanation:

see the attached picture, I tried to explain as much as possible, the general idea is there are three triangles that are similar to one another and thus in proportion. Therefore you can find missing sides using ratios.

6 0
3 years ago
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