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Mathematics

1 answer:

notka56 [123]3 years ago

6 0

Answer:

21/35

Step-by-step explanation:

Given :

A right angled triangle with sides 28 , 35 ,21 .

And we need to find the value of cos A. We know that cosine is the ratio of base and Hypotenuse. So that ,

$:\implies$ cos A = b/h

$:\implies$ cosA = 21/35

$:\implies$ Hence the required Answer is 21/35.

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What is 2 3/4 - 5/16

Ilya [14]

Answer:

2 7/16

Step-by-step explanation:

multiply both top and bottom of 2 3/4 to make it 12/16 then subtract from there.

6 0

3 years ago

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Describe how a power with a zero exponent and a power with a negative exponent can be simplified?

Liono4ka [1.6K]

-----> Any number at all with a 0 exponent is 1; anything with a -ve exponent means "1 over" i.e. 5^-1 means 1/5, 23^-4 means 1/23^4 etc.

----->A number to the power of zero is always 1
A number to the power of a negative number such as 2^-4 is always the reciprocal to the power of 4 so 2^-4 is in fact (1/2) ^4 = 1/2^4 

3^-3/4 is (1/3)^3/4 

(4/9)^-3/5 is (9/4)^3/5


--->Any number with a zero exponent is equal to 1. A number n to the -x is equal to 1/(n^x)

To simplify a negative exponent expression , I attached an example it is easier that way :)

Hope that helps.xoxo

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3 years ago

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Breyers is a major producer of ice cream and would like to test the hypothesis that the average American consumes more than 17 o

zhenek [66]

Answer:

The p-value would be 0.0939

Step-by-step explanation:

We can set a standard t-test for the Null Hypothesis that $H_0: 18.2\geq 17$

The test statistic then takes the form

$t=\frac{18.2-17}{3.9/\sqrt{15}}=1.317$

with this value we then can calculate the probability that is left to the right of this value $P(X>1.317)$ . From theory we know that t follows a standard normal distribution. Then $P(X>1.317)=0.0939$ which is smaller than the p-value set by Breyers of 0.10