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2 years ago

4. A spinner and a number cube numbered 1 to 6 are used in a game. The spinner is divided into 4 equal sections: red.

Mathematics

1 answer:

skad [1K]2 years ago

3 0

Answer:

1/12 or 1 out of 12

Step-by-step explanation:

Landing on red with the spinner is a 1/4 chance and the chance of rolling a 5 or 6 is 1/3. Multiplying the two fractions gives us the final probability, which is 1 out of 12.

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"A cable TV company wants to estimate the percentage of cable boxes in use during an evening hour. An approximation is 20 percen

Marizza181 [45]

Answer:

The company should take a sample of 148 boxes.

Step-by-step explanation:

Hello!

The cable TV company whats to know what sample size to take to estimate the proportion/percentage of cable boxes in use during an evening hour.

They estimated a "pilot" proportion of p'=0.20

And using a 90% confidence level the CI should have a margin of error of 2% (0.02).

The CI for the population proportion is made using an approximation of the standard normal distribution, and its structure is "point estimation" ± "margin of error"

[p' ± $Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }$ ]

Where

p' is the sample proportion/point estimator of the population proportion

$Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }$ is the margin of error (d) of the confidence interval.

$Z_{1-\alpha /2} = Z_{1-0.05} = Z_{0.95}= 1.648$

$d= Z_{1-\alpha /2} * \sqrt{\frac{p'(1-p')}{n} }$

$d *Z_{1-\alpha /2}= \sqrt{\frac{p'(1-p')}{n} }$

$(d*Z_{1-\alpha /2})^2= \frac{p'(1-p')}{n}$

$n*(d*Z_{1-\alpha /2})^2= p'(1-p')$

$n= \frac{p'(1-p')}{(d*Z_{1-\alpha /2})^2}$

$n= \frac{0.2(1-0.2)}{(0.02*1.648)^2}$

n= 147.28 ≅ 148 boxes.

I hope it helps!

3 0

3 years ago

Pls answer i'll mark u brainlist

In-s [12.5K]

Answer: 2/3 hours

Step-by-step explanation:

okay so the speed now is 850, which is 850/340 = 2.5 times the original speed

Since It's 2.5 times the original speed,

2.5x = 5/3

so x = 5/3/2.5 = 2/3

7 0

2 years ago

Read 2 more answers

Explain the steps that are necessary to solve 4x - 2(x + 3) = x + 1

Sidana [21]

So you would distribute what's in the parenthesis and end up with 4x-2x-6=x+1, then you combine like terms and end up with 2x-6=x+1, now you can add 6 to both sides or subtract 1 both sides (basically anything goes for this step just make sure you apply the same thing on both sides) so I'll add 6 and continue just to show you... then you end up with 2x=x+7 then you subtract 1x on both sides to get x=7. sorry it's a lot hopefully you get it know!

8 0

3 years ago

Read 2 more answers

What is 15% of 60<br> AMOUNT BASE AND PERCENTAGE

Neko [114]

Answer:

The 15% of 60 is 9 with amount base and percentage

3 0

2 years ago

There are 100 tiles that were purchased to raise money for a new playground. The tiles will be laid along a walkway. Each tile i

faltersainse [42]

Answer:475 inches

Step-by-step explanation:

476 is the answer because:

100 * 4.75 = 475

*Therefore, the answer is 475 inches.

Hopefully this helps:)

7 0

2 years ago