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3 years ago

Can someone please help me solve this 20 points to the person who can help me solve

Mathematics

1 answer:

insens350 [35]3 years ago

5 0

Answer:

7/15

Step-by-step explanation:

P(appetizers with cheese) = number with cheese / total = 1/5

P(entrees with cheese) = number with cheese / total = 1/3

It is the P(a) + P(b) - P(a and b)

We cannot double count the cheese and cheese event)

P( cheese and cheese) = 1/3 * 1/5 = 1/15

1/5 + 1/3 - 1/15

3/15 + 5/15 -1/15

8/15 - 1/15

7/15

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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.

The excel commands would be: "=CHISQ.INV(0.01,19)" "=CHISQ.INV(0.99,19)". so for this case the critical values are:

$\chi^2_{\alpha/2}=36.191$

$\chi^2_{1- \alpha/2}=7.633$

And replacing into the formula for the interval we got:

$\frac{(19)(16)}{36.191} \leq \sigma^2 \leq \frac{(19)(16)}{7.633}$

$8.400 \leq \sigma^2 \leq 39.827$

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

7 0

3 years ago

PLEASE help me identify what type of quadrilateral this is please help ASAP

Musya8 [376]

Answer:

its c)

Step-by-step explanation:

just looked it up

7 0

3 years ago

On a map the distance between rip and Janeiro Brazil and San Jose Costa Rica is 4 inches.the scale on the map shows that 1 inch=

Vera_Pavlovna [14]

Answer:

The way a proportion is set is as follows;

$\dfrac{1 \ inch}{200 \ miles } = \dfrac{4 \ inches}{ Distance \ from \ Rio \ de \ Janeiro \ to \ San \ Jose}$

The Distance from Rio de Janeiro and San Jose Costa Rica is then found as 800 miles

Step-by-step explanation:

The dimension of the distance between Rio de Janeiro and San Jose Costa Rica = 4 inches

The map scale = 1 inch to 200 miles

To figure out how many miles it is or the actual distance from Rio de Janeiro and San Jose Costa Rica, we have;

$\dfrac{1 \ inch}{200 \ miles } = \dfrac{4 \ inches}{ Distance \ from \ Rio \ de \ Janeiro \ to \ San \ Jose}$

Therefore, we have;

(4 inches × 200 miles)/(1 inche) = Distance from Rio de Janeiro and San Jose Costa Rica

Which gives;

Distance from Rio de Janeiro and San Jose Costa Rica = 800 miles.

4 0

2 years ago

A pair of shoes that originally cost $47.50 is on sale for 25% off. What is the sale price? $40.52, $59.38, $35.63, $11.88

statuscvo [17]

Answer:

35.63

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is 3.25 x $1.40

Korolek [52]

Answer:

if you make the 3.5 equal 7/2

and the 1.40 equal 7/5 its will be more easier

so7/5 × 7/2 its 4.9

sorry guys its not 4.9 i made mistake with 3.25 i was thinking that it was 3.50 any wwy

i have good method too

we can make 3.25 equal 13/4 and 1.40 equal 7/5 the multiply it

we will find 91/20 but we have problem its The 10 dont worry we can take the 10 from the both number and we will get 9.1/2 and We can devide easily now and the answer is 4.55

sorry iam trying so hard to speak engilish well sorry if u cannot understand me big respet for all the students

8 0

3 years ago

Read 2 more answers