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3 years ago

Jaden and cadence share a reward of $140 in a ratio of 2/5. what fraction of the total reward does Jaden get? how do you know?

2 answers:

5 0

Jaden gets 40 because if you add the ratio it equals 7. you've got to get the ratio to add to 140.

j:c
2:5=7
4:10=14
40:100=140

ryzh [129]3 years ago

3 0

So, we need to divide the reward into 5 parts, then award 2 parts to Jaden and 3 parts to Cadence.

$140 / 5 = $28

Jaden gets 2 * 28 = $56
Cadence gets 3 * 28 = $84

$56 + $84 = $140

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3 years ago

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igomit [66]

Answer:

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Step-by-step explanation:

From the picture attached,

In a right triangle,

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We have to find the measure of Hypotenuse from the given properties.

By cosine rule,

cos(30°) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

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3 years ago

A political candidate has asked you to conduct a poll to determine what percentage of people support him. If the candidate only

Nadusha1986 [10]

Answer:

The sample size required is, n = 502.

Step-by-step explanation:

The (1 - α)% confidence interval for population proportion is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p\cdot (1-\hat p)}{n}}$

The margin of error is:

$MOE=z_{\alpha/2}\sqrt{\frac{\hat p\ \cdot (1-\hat p)}{n}}$

Assume that 50% of the people would support this political candidate.

The margin of error is, MOE = 0.05.

The critical value of z for 97.5% confidence level is:

z = 2.24

Compute the sample size as follows:

$MOE=z_{\alpha/2}\sqrt{\frac{\hat p\ \cdot (1-\hat p)}{n}}$

$n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}$

$=[\frac{2.24\times \sqrt{0.50(1-0.50)}}{0.05}]^{2}\\\\=501.76\\\\\approx 502$

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3 years ago

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3 years ago

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 11 feet and

Inessa [10]

Answer: The percentage ≅ 48.4%

Step-by-step explanation:

* Lets revise how to find the volume of a container shaped cylinder

- The volume of any container = area of its base × its height

- The base of the cylinder is a circle, area circle = 2 π r,

where r is the length of its radius

* In container A:

∵ r = 13 feet , height = 13 feet

∴ Its volume = π (13)² × (13) = 2197π feet³

* In container B:

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* So to fill container B from container A, you will take from

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* To find the percentage of the water that is full after pumping

is complete, divide the volume of water left in container A

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∴ The percentage = (1063π/2197π) × 100 = 48.3841 ≅ 48.4%

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3 years ago