Which of the following graphs is decreasing for all values of x?

Why is 1/6 greater than 1/8 but less than 1/3

VladimirAG [237]

So first thing we have to realise is that we have to make them have equal denominators. So,

$\frac{1}{6} = \frac{4}{24} \\ \\ \frac{1}{8} = \frac{3}{24} \\ \\ \frac{1}{3} = \frac{8}{24}$ .

Now order the fractions....so,

$\frac{1}{3} = \frac{8}{24} \\ \\ \frac{1}{6} = \frac{4}{24} \\ \\ \frac{1}{8} = \frac{3}{24}$

Now we can see why $\frac{1}{6}$ is greater than $\frac{1}{8}$ but less than $\frac{1}{3}$

5 0

3 years ago

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A circle has been dissected into 16 congruent sectors. The base of one sector is 1.17 units, and its height is 2.94 units. Using

worty [1.4K]

Answer:

The approximate area of the circle is 27.5184∧2

Step-by-step explanation:

In order to calculate the approximate area of the circle we would have to calculate the following formula:

approximate area of the circle=approximate area of one triangle*number of congruent sectors

number of congruent sectors=16

approximate area of one triangle=1/2*base*height

base=1.17 units

height=2.94 units

Therefore, approximate area of one triangle=1/2*1.17*2.94

approximate area of one triangle=1.7199 units∧2

Therefore, approximate area of the circle=1.7199 units∧2*16

approximate area of the circle=27.5184∧2

7 0

3 years ago

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

Brainlist<br> Please help me

creativ13 [48]

Answer:

Yes she made an error. Explanation is below.

Step-by-step explanation:

Let the sample space for a six sided number cube be S

$n(S) = \{1,2,3,4,5,6\}\\n(S) = 6$

Let the event of a number getting greater than two be B

$n(B) = \{3,4,5,6\}\\n(B) = 4$

To find:

the probability of complement of B that is

p(~B) = ?

Solution"

First we need to solve probability for number getting greater than two

$p(B) = \frac{n(B)}{n(S)}$

Now substituting the values we get

$p(B) = \frac{4}{6}$

$p(B) = \frac{2}{3}$

but we need complement of B so

$p(\textrm{complement of B)} = 1 - p(B)\\p(\~B) = 1 - p(B)\\p(\~B) = 1 - \frac{2}{3}\\ =\frac{1}{3} \\$

P(complement of rolling a number greater than two) = $\frac{1}{3}$

3 0

3 years ago

If triangle PQR is similar to SQT, find the value of

ankoles [38]

Answer:

x = 31.4

PQ = 58.8

Step-by-step explanation:

Set up a proportion:

SQ/QP = ST/PR

Substitute in the values they give you:

$\frac{x-9}{x-9+x+5} = \frac{8}{21}$

$\frac{x - 9}{2x - 4} = \frac{8}{21}$

$21x - 189 = 16x - 32\\5x = 157\\x = 31.4$

This means that PQ = 2x - 4 = 2(31.4) - 4 = 62.8-4 = 58.8

5 0

2 years ago

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