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3 years ago

7

Elizabeth has 1.32 pounds of candy. She wants to share it equally with herself and 3 friends. How much candy will each person re

ceive?
Each person will receive pounds of candy.

1 answer:

lana66690 [7]3 years ago

5 0

Answer:

1/3 pound per person

Step-by-step explanation:

(All) (People) (Amount per person)

1.32 / 4 = .33

.33 = 1/3

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The Cool Company determines that the supply function for its basic air conditioning unit is S(p) = 40 + 0.008p3 and that its dem

myrzilka [38]

We are given the functions:

<span>S (p) = 40 + 0.008 p^3 ---> 1</span>

<span>D (p) = 200 – 0.16 p^2 ---> 2</span>

T o find for the price in which the price of supply equals demand, all we have to do is to equate the two equations, equation 1 and 2, and calculate for the value of p, therefore:

S (p) = D (p)

40 + 0.008 p^3 = 200 – 0.16 p^2

0.008 p^3 + 0.16 p^2 = 160

p^3 + 20 p^2 = 20,000

p^3 + 20 p^2 – 20,000 = 0

Calculating for the roots using the calculator gives us:

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Since price cannot be imaginary therefore:

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3 years ago

Which graph represents the function f(x)=(3/2)-x squared

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2 years ago

Find the confidence interval with a 90% level of confidence. In October 2010, Gallup Poll asked 510 randomly sampled adults the

ratelena [41]

Answer:

90% confidence interval for the percent of the population who consider the death penalty to be "fair" is [54.4% , 61.6%].

Step-by-step explanation:

We are given that in October 2010, Gallup Poll asked 510 randomly sampled adults the question, "Generally speaking, do you believe the death penalty is applied fairly or unfairly in this country today?"

Of these, 58% answered "fairly", 36% said "unfairly" and 7% said they didn't know.

Firstly, the Pivotal quantity for 90% confidence interval for the population proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion who answered death penalty "fair" = 58%

n = sample of adults = 510

p = population percentage

<em>Here for constructing 90% confidence interval we have used One-sample z test for proportions.</em>

<u>So, 90% confidence interval for the population percentage, p is ;</u>

P(-1.645 < N(0,1) < 1.645) = 0.90 {As the critical value of z at 5% level

of significance are -1.645 & 1.645}

P(-1.645 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.645) = 0.90

P( $-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < $\hat p-p$ < $1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.90

P( $\hat p-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.90

<u>90% confidence interval for p</u> = [ $\hat p-1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+1.645 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.58-1.645 \times {\sqrt{\frac{0.58(1-0.58)}{510} } }$ , $0.58+1.645 \times {\sqrt{\frac{0.58(1-0.58)}{510} } }$ ]

= [0.544 , 0.616]

Therefore, 90% confidence interval for the percent of the population who consider the death penalty to be "fair" is [54.4% , 61.6%].

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katrin [286]

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Answer:

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Step-by-step explanation:

23+33=56

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