Q and A for the topic: General

Find the measure of angle B on a right triangle when the adjacent leg measures 8 and the opposite leg measures 14

Studies show that about five women in seven (approximately 71.4%) who live to be 90 will develop breast cancer. Suppose that of those women who develop breast cancer, a test is negative 25% of the time. Also, suppose that in the general population of women, the test for breast cancer is negative about 45% of the time. Let B=women develops breast cancer, P=tests positive, and N=tests negative. Suppose one woman is selected at random. Round your answer to three decimal places. Given that a woman develops breast cancer, what is the probability that she tests positive. Find P(P|B) = 1-P(N|B). What is the probability that a woman develops breast cancer and tests positive. Find P(B AND P) = P(P|B)P(B). What is the probability that a woman does not develop breast cancer. Find P(B’) = 1-P(B). What is the probability that a woman tests positive for breast cancer. Find P(P)=1-P(N).

Solve the inequality: x(x + 2)≤(−2x + 5)(x + 2) .

Solve the inequality: 2x − 3≥−x + 2 .

A positive integer is 1 less than another. If the sum of the reciprocal of the smaller and twice the reciprocal of the larger is 19/42, then find the two integers

A television has a final or gross sales value of $984,631. What is the net value of said television? Final Value=Net value + VAT (119%=100% + 19% of net)

What is the sum of 2/10 and 20/100

5x-4=7

P(z>c)=0.3867

Calculate the air of the surface limited by the parabola which has the equation y=x(x) and the line passing through the points of abscissa -2 and 1 of the parabola.

Five state officials are listed to the right. a. List the 10 possible samples​ (without replacement) of size 33 that can be obtained from the population of five officials. Lieutenant GovernorLieutenant Governor ​(Upper LL​) Secretary of StateSecretary of State ​(Upper SS​) Attorney GeneralAttorney General ​(Upper AA​) RepresentativeRepresentative ​(Upper RR​) Press SecretaryPress Secretary ​(Upper PP​) b. If a simple random sampling procedure is used to obtain a sample of threethree ​officials, what are the chances that it is the first sample on your list in part​ (a)? the second​ sample? the tenth​ sample?

A die is rolled 2 times. Determine the probability that the sum of the faces is: a) 3 b) 7 c) 10

-294/-14

Give the amount that is discounted to a bill whose face value is €2,000 that matures in 60 days and to which you rent a discount of 8% annually and a 2% commission that the cash will deliver.

Given the vectors P=4i – 2j +3k, Q=2i +4j – 5K and S=S xi – j +2k, determine the value of S x for which the three vectors are coplanar.

Let {Xn }n≥0 be a Markov chain with state space E = {0, 1, . . .} and transition probabilities given by: p0,0= 1−p0,1=(3/4) pi,i+1 =(1/2)( 1−(1/(i+2))) ∀i≥0 pi,i−1 = (1/2)( 1+(1/(i+2))) ∀i≥1 Determine whether the chain is transient, null recursive, or positive recursive. In the latter case, find the stationary distribution.

6x^2+x-12. Factor is the problem

A credit card has an interest rate of 23% per annum and charges interest daily. Calculate the effective annual rate on this card. (if the answer is 10.55%, write it as 0.1055, use four decimal points)

In this fulcrum, for the weights to be in balance, what do the distances d1 and d2 have to be if the overall length is 12 feet? d1 (to the nearest hundredth) = 7.20 feet. d2 (to the nearest hundredth) = feet.

1°) -An object 1 cm high is placed 10 cm to the left of a thin converging lens focal length 3 cm. • Calculate where your image is located • Make a life-size diagram (required).