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Aleonysh [2.5K]
2 years ago
5

When a red and a white flower reproduce, the chance of their offspring being a red flower is 25%. if five pairs of red and white

flowers have offspring
what is the chance that exactly 2 of the flowers are red?
what is the chance that no more than 2 red flowers exist in the offspring?
Mathematics
1 answer:
Margarita [4]2 years ago
6 0

Answer:

P(2 red in 5 offspring) = 26.4%

P(no more than 2 red flowers) = 65.9%

Step-by-step explanation:

P(red) = 25%

P(white) = 75%

P(2 red in 5 offspring) = 5C2 P(red)*P(red)*P(white)*P(white)*P(white)

= 10 * 0.25 * 0.25 * 0.75 * 0.75 * 0.75 = 26.4%

P(no more than 2 red flowers) = P(1 red in 5 offspring) + P(2 red in 5 offspring)

= 5C1 P(red)*P(white)^4 + 0.2637

= 5 * 0.25 * 0.75* 0.75 * 0.75 * 0.75 + 0.2637

= 0.6592 = 65.9%

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Answer:

b = (d-c)/a

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ab + c = d

We want to solve for b, so we need to get b alone

Subtract c from each side

ab+c-c = d-c

ab = (d-c)

Divide each side by a

ab/a = (d-c)/a

b = (d-c)/a

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3 years ago
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What is the difference of 7 1/6−3 5/8? fractions. with common denominators
lord [1]

Answer: 3 13/24

Step-by-step explanation:

<u>Turn 7 1/6 into an Improper Fraction:</u>

43/6 - 3 5/8

<u>Turn 3 5/8 into an Improper Fraction:</u>

43/6 - 29/8

<u>Subtract:</u>

43/6 - 29/8= 85/24

<u>Turn 85/24 into a Mixed Number (Final Step):</u>

85/24 = 3 13/24

<u>Answer:</u>

3 13/24

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3 years ago
Add the two expressions.<br> 2x + 6 and 6.2 - 1<br> Enter your answer in the box.
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Answer:

8x + 5

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By adding

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8 0
3 years ago
A. The point-slope form of the equation of a line is y ? y1 = m(x ? x1), where m is the slope and (x1, y1) is a point on the lin
Rudiy27

Answer:

A.

y - 5 = -2(x-6)

Negative reciprocal gives you the perpendicular slope so negative reciprocal of 1/2 is -2.

Then apply point-slope form.

B. The answer is x = 6.

The midpoint of JK is

\left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) = \left( \frac{8+ 4}{2}, \frac{4 + 4}{2} \right) = \left(6,4\right)

The line that goes through JK is just a horizontal line y = 4 because the y-coordinate does not change. So its perpendicular bisector is the vertical line that goes through the x-coordinate of the midpoint, that is, x = 6.

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3 years ago
The sales of a grocery store had an average of $8,000 per day. The store introduced several advertising campaigns in order to in
oksano4ka [1.4K]

Answer:

Null hypothesis:\mu \leq 8000  

Alternative hypothesis:\mu > 8000  

z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2  

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Step-by-step explanation:

1) Data given and notation  

\bar X=8300 represent the sample mean  

\sigma=1200 represent the population standard deviation  

n=64 sample size  

\mu_o =800 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

2) State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is higher than 8000, the system of hypothesis are :  

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z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

3) Calculate the statistic  

We can replace in formula (1) the info given like this:  

z=\frac{8300-8000}{\frac{1200}{\sqrt{64}}}=2  

4) P-value  

Since is a one-side upper test the p value would given by:  

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5) Conclusion  

If we compare the p value and the significance level assumed, for example \alpha=0.05 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, so we can conclude that the mean is significantly higher than $8000.  

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