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Vlad1618 [11]
3 years ago
9

Q1) If Q is directly proportional to P and Q = 28 when P = 4, (i) express Q in terms of P, (ii) find the value of Q when P = 5,

(iii) calculate the value of P when Q = 42. Q2) If z is directly proportional to x and z = 12 when x = 3, find the value of x when z = 18. Q3) If B is directly proportional to A and B = 3 when A = 18, find the value of B when A = 24. I NEED THE ANSWERS QUICKLY!!!
Mathematics
1 answer:
marysya [2.9K]3 years ago
5 0

Answer:

Q1)i) Q= 7p

ii) Q= 35

iii) P= 6

Q2)x= 3

Q3) B=4

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A test of H0: p = 0.5 versus Ha: p > 0.5 has the test statistic z = 1.15. Part A: What conclusion can you draw at the 5% sign
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Part A: The null hypothesis failed to be rejected.

Part B: The null hypothesis failed to be rejected.

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We have an hypothesis test with null and alternative hypothesis H0: p = 0.5 versus Ha: p > 0.5, which has the test statistic z=1.15.

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The P-value for this right-tailed tes and z=1.15 is:

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The P-value is bigger than the significance level, so the effect is not significant and the null hypothesis is failed to be rejected.

Part B: In this case, the significance level is 0.01 and, as the alternative hypothesis is defined with an unequal sign, the test is two-tailed.

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Find the number of primes less than 190 using the principle of inclusion-exclusion.
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The number of primes less than 190 using the principle of inclusion-exclusion are 42

<h3>Principle of inclusion- exclusion</h3>

The principle of inclusion-exclusion is known as a counting technique that computes the number of elements satisfying at least one of several properties and guaranteeing that the numbers are not counted twice.

Prime numbers are numbers only divisible by 1 and itself.

Prime numbers less than 190 are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181

They are 42 in number

Therefore, the number of primes less than 190 using the principle of inclusion-exclusion are 42

Learn more about prime numbers here:

brainly.com/question/874965

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