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2 years ago

Explain how you got the answer please

Mathematics

1 answer:

Alisiya [41]2 years ago

5 0

The answer is C.
You want:

10 < a < 14 (greater or equal)
The difference between 10 and 12 is 2.
The difference between 12 and 14 is 2.
Therefore the absolute value allows you to express that the difference between a and 12 cannot be greater than 2 (either going up to a max of 14 or going down to a minimum of 10).

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A 32cm long string just fits round the perimeter of a square board. The area of the board is

Ierofanga [76]

Answer:

64cm2

Step-by-step explanation:

(32÷4)=8

8×8=64cm2

8 0

2 years ago

Read 2 more answers

Last year, 50% of MNM. Inc. employees were female. It is believed that there has been a reduction in the percentage of females i

Serhud [2]

Answer:

We conclude that there has been a significant reduction in the proportion of females.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 50% = 0.5

Alpha, α = 0.05

Number of women, x = 118

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.50\\H_A: p < 0.50$

This is a one-tailed test.

Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{118}{400} = 0.45$

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

Putting the values, we get,

$z = \displaystyle\frac{0.45-0.50}{\sqrt{\frac{0.50(1-0.50)}{400}}} = -2$

Now, we calculate the critical value.

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.645$

Since the calculated z-statistic is less than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Thus, there has been a significant reduction in the proportion of females.

3 0

2 years ago

Find tanθ + sinθ for the angle below.

larisa [96]

tan( tehta ) = 2/3

Sin( tetha ) = 2/√13

tan( tetha ) + Sin( tetha ) = 2/3 + 2/√13

= 2√13 + 6 / 3√13

5 0

2 years ago

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