Two friends, karen and jodi, work different shifts for the same ambulance service. they wonder if the different shifts average different numbers of calls. looking at past records, karen determines from a random sample of 35 shifts that she had a mean of 5.2 calls per shift. she knows that the population standard deviation for her shift is 1.3 calls. jodi calculates from a random sample of 34 shifts that her mean was 4.8 calls per shift. she knows that the population standard deviation for her shift is 1.2 calls. test the claim that there is a difference between the mean numbers of calls for the two shifts at the 0.05 level of significance.

(c) find the critical value.

answer: 32.68

step-by-step explanation:

x=2

42

step-by-step explanation:

256/6=42

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!

a) at most means it can cost $12 or less

so the inequality sign would be ≤

you would then need to multiply the number of toppings by the 0.35 for each one and add it to the cost of the cheese pizza.

the equation would be 9.99 + 0.35x ≤ 12

b) using the above equation:

9.99 + 0.35x ≤ 12

subtract 9.99 from each side:

0.35x ≤2.01

divide both sides by 0.35:

x ≤ 2.01 / 0.35

x ≤5.74

at most you could have 5 toppings.

the 5 topping pizza would cost: 0.35 x 5 = 1.75 + 9.99 = $11.74