1)5/8 equals 10/?

What is the rule of -3,18,-108,—,—,—

lisabon 2012 [21]

Hi! ❄

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The rule for this sequence is 'multiply by -6'.

Verification ↓

-3*(-6) $\stackrel\checkmark{=}$ 18

18*(-6) $\stackrel\checkmark{=}$ -108

So the rule for the sequence is 'multiply by -6'

And the Common ratio is -6.

Hope that made sense !!

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5 0

1 year ago

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If y varies inversely with the square of x, and y=6 when x=4, find y when x=0.1

sergejj [24]

Answer:

9600

Step-by-step explanation:

y varies inversely with the square of x

y=k/(x^2)

for some non-zero constant k

y=6 when x=4

6=k/(4^2)

k=96

y=96/(x^2)

x=0.1

y=96/(0.1^2)

y=9600

8 0

2 years ago

Jane needs to pay $36 for 2 basketballs, how much she needs to pay 3 basketballs?

OLga [1]

36 divided by 2 is 18

That mean each basketball is $18

18 dollars multiplied by 3 basketballs is 54

Three basket balls cost $54

5 0

2 years ago

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In the past, 21% of all homes with a stay-at-home parent, the father is the stay-at-home parent. An independent research firm ha

Afina-wow [57]

Answer:

A sample size of 79 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$\pi = 0.21$

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

What sample size is needed if the research firm's goal is to estimate the current proportion of homes with a stay-at-home parent in which the father is the stay-at-home parent with a margin of error of 0.09?

A sample size of n is needed.

n is found when M = 0.09. So

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.09 = 1.96\sqrt{\frac{0.21*0.79}{n}}$

$0.09\sqrt{n} = 1.96\sqrt{0.21*0.79}$

$\sqrt{n} = \frac{1.96\sqrt{0.21*0.79}}{0.09}$

$(\sqrt{n})^{2} = (\frac{1.96\sqrt{0.21*0.79}}{0.09})^{2}$

$n = 78.68$

Rounding up to the nearest whole number.

A sample size of 79 is needed.

4 0

2 years ago

Please awnser for brainlyest awnser btw I don’t like emojis ✌️✌️✌️✌️✌️✌️✌️

nexus9112 [7]

Answer:

7. Mean = 48

Median = 47.5

Mode = 72

Range = 66

8. Mean= 59.625

Median = 61

Mode = 90

Range = 79

9. Mean = 31.57

Median = 32

Mode = 46

Range = 34

10. Mean = 42.11

Median = 36

Mode = 51

Range = 51

Step-by-step explanation:

Mean is the average. Mode is the number that appears the most. Median is the middle number. Range is the biggest number minus the smallest number.

Hope this helps.

3 0

2 years ago

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