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Elden [556K]
2 years ago
8

David and Denise share n pears in the ratio 4:9. If n = 39 how many pears does David have?

Mathematics
1 answer:
saul85 [17]2 years ago
6 0

Answer:

David has 12 pears.

Step-by-step explanation:

4 + 9 = 13

39 / 13 = 3

3 x 4 = 12

3 x 9 = 27

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Factorize the quadratic trinomial x^2 - 9x + 14 by the rule:

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1. Find the roots:

D=(-9)^2-4\cdot 14=81-56=25,\ \sqrt{D}=5,\\ \\ x_1=\dfrac{9-5}{2}=2,\ x_2=\dfrac{9+5}{2}=7.

2. Factorize the polynomial:

x^2 - 9x + 14=(x-2)(x-7).

3. Only factor x-2 is given in options, then the correct choice is B.

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3 years ago
A researcher is testing a hypothesis of a single mean. The critical z value for a = .05 and a two‑tailed test is +1.96. The obse
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Answer:

The decision made by the researcher based on this information is to reject the null hypothesis.

Step-by-step explanation:

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Critical value: z_c

Test statistic: z

If |z| < |z_c|, we do not reject the null hypothesis.

If |z| > |z_c|, we reject the null hypothesis.

In this question:

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Answer:

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Given that,

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And now, let us find the area.

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