In a triangle, the sides measure 3,5, and 7 what is the measure, in degrees of the largest angle?

Answers

Answer 1

Answer: $The\ largest\ angle\ is\ opposite\ the\ largest\ side.\nlook\ at\ the\ picture.\n\nLaw\ of\ cosines:\n\nc^2=a^2+b^2-2abcos\alpha\n\na=3;\ b=5;\ c=7\n\nsubstitute:$

$7^2=3^2+5^2-2\cdot3\cdot5\cdot cos\alpha\n49=9+25-30cos\alpha\n49=34-30cos\alpha\n30cos\alpha=34-49\n30cos\alpha=-15\ \ \ \ /:30\ncos\alpha=-(15)/(30)\n\ncos\alpha=-(1)/(2)\n\n\alpha=120^o$

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Use the given data to find the minimum sample size required to estimate a population proportion or percentage. margin of error: 0.040.04; confidence level 9595%; modifyingabove p with caretp and modifyingabove q with caretq unknown

Answers

The minimum sample size required to estimate a population proportion or percentage is 306.

What is random sampling?

In statistics, a simple random sample is a subset of individuals chosen from a larger set in which a subset of individuals are chosen randomly, all with the same probability. It is a process of selecting a sample in a random way.

In order to determine the minimum sample size required to estimate a population proportion or percentage, we will use the following formula:

n = (z×p×q)/m²

where is the minimum sample size, z is the z-score corresponding to the desired confidence level, p is the population proportion, q is 1-p, and m is the desired margin of error.

In this case, the confidence level is 95%, so the corresponding z-score is 1.96. Since we don't know the population proportion, we will use the symbol p and q to represent it. Therefore, the formula becomes:

n = (1.96×p×q)/(0.04)²

To determine the minimum sample size, we need to determine the value of p and q. Since p + q = 1, if we set p to 0.5, then q will also be 0.5. Therefore, the minimum sample size is:

n = (1.96×0.5×0.5)/(0.04)² = 306.25

≈ 306

Therefore, the minimum sample size required to estimate a population proportion or percentage is 306.

Learn more about the random sample here:

brainly.com/question/12719656.

#SPJ2

Minimum required sample size for a desired margin of error and confidence level when it is a proportion problem: n = (z2÷margin of error2)*p-hat*q-hat

The maximum value of p-hat*q-hat occurs where p-hat = .5 (found by taking the derivative of (p-hat)*(1-p-hat) and setting it equal to 0 to find the maximum. n = ( 2.5762( for 99% confidence interval)÷.0482 )*.5*.5 = 720.028 or 721

Find the expected value of the winningsfrom a game that has the following
payout probability distribution:

Answers

Answer:

The expected value is $3.95

Step-by-step explanation:

Here, we want to get the expected value

Mathematically, what we have to do here is to multiply each of the probabilities by the pay out value, before we proceed to add up

We have this as;

0(0.5) + 0.2(5) + 0.15(8) + 10(0.1) + 15(0.05)

= 0 + 1 + 1.2 + 1 + 0.75 = 3.95

Answer:

3.00

Step-by-step explanation:

Given that :

Payout(X) : ___ 0 ___ 4 ___ 6 ____ 8 _____ 10

Probability (p(x) 0.5 _ 0.2 __0.15 __0.1 ___ 0.05

Expected value :E(X) = ΣX* p(x)

E(X) = (0*0.5) + (4*0.2) + (6*0.15) + (8*0.1) + (10*0.05)

E(X) = 3

Expected value = 3.00

IND 11. Kim is arranging magazines on shelves. She has 18 sports magazines and 24 news magazines. Each shelf will have the same number of sports and news magazines. If Kim must place all of the magazines on shelves, what are all the possible numbers of shelves Kim can use?

Answers

Find the multiples of each number:

18: 1 , 2 , 3 , 6 , 9 , 18

24: 1, 2, 3, 4, 6 , 8, 12, 24

Now find the matching numbers:

1 , 2, 3 , 6

PLSSS help me solve this question

Answers

Answer:

(3,-5)

Step-by-step explanation:

The line y=-x is a positively sloped line that when reflected across changes all signs to their opposite counterpart. Positivee to negative, negative to positive.

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