The ratio of soda to fruit juice in the punch is 1 to 2/3
Answer:
(b) She should have rounded –8.02 to –8
Step-by-step explanation:
Given
See attachment for long division
Required
Her error
Ignoring the minus sign,
Her approximation is as follows:


Her approximation of -8.02 is wrong
Because:

<em>Hence (b) is correct</em>
Answer:
a)

For any integer k between 0 and 15, and 0 for other values of k.
b)

c) P(6 ≤ X ≤ 10) = 0.2737
d) μ = 15*0.75 = 11.25. σ² = 11.25*0.25 = 2.8125
Step-by-step explanation:
X is a binomial random variable with parameters n = 15, p = 0.75. Therefore
a)

For any integer k between 0 and 15, and 0 for other values of k.
b)
P(X>10) = P(X=11) + P(X=12)+ P(X=13)+P(X=14)+P(x=15)





Thus,

c) P(6 ≤ X ≤ 10) = P(X = 6) + P(X = 7) + P(X = 8) + P(X=9) + P(X=10)





Thereofre,

d) μ = n*p = 15*0.75 = 11.25
σ² = np(1-p) = 11.25*0.25 = 2.8125
Answer:
Explanation:
1) The two parallel sides of different legths 1\frac{3}{4}143 and 1\frac{1}{4}141 constitute the bases of a trapezoid.
2) The two equal anglesare the base angles of the trapezoid, and mean that it is an isosceles trapezoid.
An isosceles trapezoid is truncated isosceles triangle.
The definition of trapezoid is a quadrilateral with at least two parallel sides.
The drawing is attached: only the green lines represent the figure, the dotted lines just show how this is derived from an isosceles triangle.
Answer:
part a: -40 < x < 140
part b: open circles on both -40 and 140 with an arrow from each pointing inward. (towards zero). the solutions represent temperatures that will keep the gas in liquid form.
part c: it will freeze because -49 is less than -40, and therefore not a solution to the inequality.
explanation
a. x must be greater than -40 and less than 140 as outlined in the problem. so x > -40 and x < 140
b. open circles are non inclusive, and we do not include -40 or 140 because the gas will not be a liquid at those temps.