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Rudik [331]
3 years ago
10

What is the image of (-1, 1) when reflected across the line y = x?

Mathematics
2 answers:
MaRussiya [10]3 years ago
7 0

Answer:

(1, -1)

Step-by-step explanation:

Maru [420]3 years ago
4 0

I can confirm that it is (1, -1)

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Solve x^2+32=0<br> Please solve step by step
erik [133]

Answer:

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5 0
3 years ago
Simplify completely 12x^3-4x^2+8x/-2x<br> PLEASE HELP
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The answer is 12x^3-4×^2-4
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3 years ago
A genetic experiment involving peas yielded one sample of offspring consisting of 437437 green peas and 129129 yellow peas. Use
navik [9.2K]

Answer:

The null hypothesis: \mathbf{H_o: p=0.27}

The alternative hypothesis: \mathbf{H_1: p \neq 0.27}

Test statistics : z = −2.30

P-value:  = 0.02144

Decision Rule: Since the p-value is lesser than the level of significance; then we reject the null hypothesis.

Conclusion: We accept the alternative hypothesis and  conclude that under the same​ circumstances the proportion of offspring peas will be yellow is not equal to 0.27

Step-by-step explanation:

From the given information:

Let's state the null and the alternative hypothesis;

Since The claim is that 27%  of the offspring peas will be yellow.

The null hypothesis state that the proportion of offspring peas will be yellow is equal to 0.27.

i.e

\mathbf{H_o: p=0.27}

The alternative hypothesis  state that the proportion of offspring peas will be yellow is not equal to 0.27

\mathbf{H_1: p \neq 0.27}

<u>The test statistics:</u>

we are given 437 green peas and 129 yellow apples;

Hence;

\hat p = \dfrac{x}{n}

where ;

\hat p = sample proportion

x = number of success

n = total number of the sample size

\hat p = \dfrac{129}{437+129}

\hat p = \dfrac{129}{566}

\mathbf{\hat p = 0.2279}

Now; the test statistics can be computed as :

z = \dfrac { \hat p -p }{\sqrt {\dfrac{p(1-p)}{n}  } }

z = \dfrac {0.2279 -0.27 }{\sqrt {\dfrac{0.27(1-0.27)}{566}  } }

z = \dfrac {-0.043 }{\sqrt {\dfrac{0.27(0.73)}{566}  } }

z = \dfrac {-0.043 }{\sqrt {\dfrac{0.1971}{566}  } }

z = \dfrac {-0.043 }{\sqrt {3.48233216*10^{-4} } }

z = \dfrac {-0.043 }{0.01866} }

z = −2.30

C. P-value

P-value = P(Z < z)

P-value = P(Z< -2.30)

By using the ​ P-value method and the normal distribution as an approximation to the binomial distribution.

from the table of standard normal distribution

move left until the first column is reached. Note the value as –2.0

move upward until the top row is reached. Note the value as 0.30

find the probability value as 0.010724 by the intersection of the row and column values gives the area to the left of

z = -2.30

P- value = 2P(z ≤ -2.30)

P-value = 2 × 0.01072

P - value = 0.02144

Decision Rule: Since the p-value is lesser than the level of significance; then we reject the null hypothesis.

Conclusion: We accept the alternative hypothesis and  conclude that under the same​ circumstances the proportion of offspring peas will be yellow is not equal to 0.27

8 0
3 years ago
Fernando needs a total of 6
Fantom [35]

Answer:

Equation: 6f = 5

Result: 6/5 cup of flour is needed for each batch of bread

Step-by-step explanation:

Given

6 cups of flour makes 5 batches of bread

Required

His much flour is needed for each batch.

Let f represent a cup of flour.

The statement "total of 6 cups of flour to make 5 batches of bread." means that

f + f + f + f + f + f = 5 batches of bread

f * 6 = 5

6f = 5

The above equation will give the number of cup needed for 1 batch of bread.

To do that, we simply divide both sides by 5

6f/5 = 5/5

6f/5 = 1

Hence,

The equation is represented by: 6f = 5

And the result is: 6/5 cup of flour is needed for each batch of bread

3 0
3 years ago
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Find the volume of a cylinder that has a radius of 11 m and a height of 9 m.
hjlf

Answer:

The volume would be 3,421.19m

7 0
3 years ago
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