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3 years ago

Evaluate for d = 2. 2(d + 4d)

Mathematics

2 answers:

Lunna [17]3 years ago

8 0

Answer: d = 12

2(2 + 4d)

Disturbte the 2 time everything and you get

4 + 8D add alike variable and the answer is d=12

Sav [38]3 years ago

6 0

Substitute 2 for d.

$2(d + 4d) \\ 2(2 + (4 \times 2)) \\ 2(2 + 8) \\ 2(10) \\ 20$

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A medical website states that 40% of U.S. adults are registered organ donors. A researcher believes that the proportion is too h

alexgriva [62]

Answer:

Pvalue = 0.193

There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%

Step-by-step explanation:

H0 : p = 0.4

H1 : p < 0.4

Test statistic :

z=pˆ−p/√p(1−p)/n

pˆ = 74 / 200 = 0.37

Z = (0.37 - 0.40) / √(0.40(1 - 0.40) / 200

Z = - 0.03 / √0.0012

Z = - 0.03 / 0.0346410

Z = - 0.866

Test statistic = -0.866

The Pvalue :

P(Z < -0.866) = 0.193

α - level = 0.05

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2 years ago

You have a biased coin for which p(h)=pp(h)=p. you toss the coin 2020 times. what is the probability that you observe 88 heads a

Nat2105 [25]

The question describes a binomial probability with p(h) = p, then p(t) = 1 - p and number of trials (n) = 20

The probability of a binomial distribution is given by

$P(x)=\, ^nC_xp^x(1-p)^{n-x}$

Part A:

The probability of observing 8 heads and 12 tails is given by:

$P(8)=\, ^{20}C_8p^8(1-p)^{20-8}=\, ^{20}C_8p^8(1-p)^{12}$

Part B:

You observe more than 8 heads and more than 8 tails, when you observe 9 heads and 11 tails, 10 heads and 10 tails, and 11 heads and 9 tails.

Therefore, the probability of observing more than 8 heads and more than 8 tails is given by:

$P(9)+P(10)+P(11) \\ \\ =\, ^{20}C_9p^9(1-p)^{20-9}+\, ^{20}C_{10}p^{10}(1-p)^{20-10}+\, ^{20}C_{11}p^{11}(1-p)^{20-11} \\ \\ =\, ^{20}C_9p^9(1-p)^{11}+\, ^{20}C_{10}p^{10}(1-p)^{10}+\, ^{20}C_{11}p^{11}(1-p)^{9}$

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2 years ago

8) The equation of a line that has a slope of -2 and a y-intercept of 3 is:

Eva8 [605]

The bb and j was the source of the questions

5 0

2 years ago

Help me please the numbers I am using is 1,2,2,3,4,5,6,7,8,9

solong [7]

Answer:

2, 4.5 and 8

Step-by-step explanation:

(1)

The mode is the number which occurs most often , then

mode = 2

(2)

The median is the middle value of the numbers arranged in ascending order. If there is no exact middle value then it is the average of the numbers either side of the middle.

1, 2, 2, 3, 4, 5, 6, 7, 8, 9

↑ middle

median = $\frac{4+5}{2}$ = $\frac{9}{2}$ = 4.5