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2 years ago

4. The school spirit club is stuffing bags for

Mathematics

1 answer:

Dima020 [189]2 years ago

8 0

Answer:

2.222

Step-by-step explanation:

there is 1000 pieces of candy and 450 bags so 1000 ÷ 450 = 2.222

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If an item costs $45 and we must pay 6% sales tax, how much will we pay for the item?

Gennadij [26K]

$47.70

$45 with 6% sales tax

6%=.06

To find total amount multiply by 1.06 or multiply by .06 and that is tax amount and then add it to the $45

$45*.06=2.70 amount of tax

$45*1.06=47.70 total amount paid

Any questions feel free to ask. Have a great day!

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3 years ago

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Devon and Roy volunteer at a community farm. On Tuesday, they were each given the same number of tomato seeds to plant, but Roy

Leto [7]

Answer:

Roy

Step-by-step explanation:

If Roy finished first the first time then he is faster at planting the seeds.

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3 years ago

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To the nearest square centimeter, what is the area of the circle below? Use pi = 3.14

Mademuasel [1]

Answer:

$radius \: \: r = 5 \: cm \\ area = \pi {r}^{2} \\ = 3.14 \times (5) {}^{2} \\ = 78.5 \: {cm}^{2}$

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3 years ago

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2 years ago

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A random sample of 20 students yielded a mean of ¯x = 72 and a variance of s2 = 16 for scores on a college placement test in mat

Helen [10]

Answer:

The 98% confidence interval for the variance in the pounds of impurities would be $8.400 \leq \sigma^2 \leq 39.827$ .

Step-by-step explanation:

1) Data given and notation

$s^2 =16$ represent the sample variance

s=4 represent the sample standard deviation

$\bar x$ represent the sample mean

n=20 the sample size

Confidence=98% or 0.98

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population mean or variance lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

The Chi square distribution is the distribution of the sum of squared standard normal deviates .

2) Calculating the confidence interval

The confidence interval for the population variance is given by the following formula:

$\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}$

On this case the sample variance is given and for the sample deviation is just the square root of the sample variance.

The next step would be calculate the critical values. First we need to calculate the degrees of freedom given by:

$df=n-1=20-1=19$

Since the Confidence is 0.98 or 98%, the value of $\alpha=0.02$ and $\alpha/2 =0.01$ , and we can use excel, a calculator or a table to find the critical values.