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Dmitry_Shevchenko [17]
3 years ago
13

If in triangle ABC, a=5, b=6 and c=8, then cos A is...

Mathematics
1 answer:
s2008m [1.1K]3 years ago
5 0

In a triangle, the nomenclature is that a variable side a is opposite of the angle A. we can use the cosine law to determine the value of cosine A. 
a2 = b2 + c2 -2bc cos a25 = 36 + 64 - 2*6*8 * cos acos a = 25/32 
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X/2-7=9 solve what “x” mean
Elden [556K]

Answer:

x = 32

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x /2  −7=9

1 /2 x + (−7) = 9

1 /2 x − 7 = 9

Step 2: Add 7 to both sides.

1 /2x − 7 + 7 = 9 + 7

1 /2 x = 16

Step 3: Multiply both sides by 2.

2*( 1 /2 x) = (2) * (16)

x = 32

7 0
3 years ago
A study is planned to compare the proportion of men who dislike anchovies with the proportion of women who dislike anchovies. Th
andrey2020 [161]

Answer:

The requirements are satisifed since we have the proportion estimated, the sample sizes provided, we assume random sampling for the selection of the data and the distribution for the difference of proportions can be considered as normal

z=\frac{0.67-0.84}{\sqrt{0.755(1-0.755)(\frac{1}{41}+\frac{1}{56})}}=-1.923  

Step-by-step explanation:

The requirements are satisifed since we have the proportion estimated, the sample sizes provided, we assume random sampling for the selection of the data and the distribution for the difference of proportions can be considered as normal

Data given and notation  

n_{M}=41 sample of male selected

n_{W}=56 sample of demale selected

p_{M}=0.57 represent the proportion of men who dislike anchovies

p_{WCB}=0.84 represent the proportion of women who dislike anchovies

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 men is different from women  , the system of hypothesis would be:  

Null hypothesis:p_{M} = p_{W}  

Alternative hypothesis:p_{M} \neq p_{W}  

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

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

Where \hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{0.67+0.84}{2}=0.755

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

Calculate the statistic

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

z=\frac{0.67-0.84}{\sqrt{0.755(1-0.755)(\frac{1}{41}+\frac{1}{56})}}=-1.923  

4 0
3 years ago
PLEASE HELP THIS ASSIGNMENT IS OVER DUE
ruslelena [56]

Answer:

Step-by-step explanation:

6x+3

8 0
2 years ago
Read 2 more answers
The weight of 10 identical samples of a substance is 0.01 pound. what is the weight of 10000 samples?
Licemer1 [7]
The answer is 10 pounds.

I set up a proportion of 10 / 0.01 = 10000 / x. 

Cross-multiply to get 10x = 10000(0.01). Simplify to get 10x = 100. Divide by 10 to isolate the variable. 

x = 10. 10000 samples would weigh 10 pounds. 

3 0
2 years ago
In at least 4 complete sentences explain what a reciprocal is in relation to fraction? and how you would find the reciprocal of
sveta [45]

To find the reciprocal of a fraction, you switch the numerator and denominator, for example the reciprocal of 2/5 is 5/2. With our mixed number, we convert to an improper fraction, 17/3Then we find the reciprocal, which is 3/17. I hope this helps!

3 0
2 years ago
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