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2 years ago

The probability of picking a blue marble out of a bag of 50 marbles is 3/25 how many marbles are not blue bag

Mathematics

1 answer:

jok3333 [9.3K]2 years ago

6 0

Answer:the number of marbles in the bag that are not blue is 44

Step-by-step explanation:

The probability of picking a blue marble out of a bag of 50 marbles is 3/25. This means that the number of blue marbles in the bag would be

3/25 × 50 = 150/25 = 6

Since the total number of marbles in the bag is 50, it means that the number of marbles in the bag that are not blue would be

50 - 6 = 44 marbles

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Margo deposited $100 into a savings account earning 4.5% simple annual interest. At the end of each year, she adds $100 to her a

nadezda [96]

Answer:

principal interest total money in account

at the end of year

Year one $100 $4.5 $104.5

year two $200 $ 9 +$4.5 $ 213.5

year three $300 $ 9 +$4.5 + $13.5 $ 327

Step-by-step explanation:

Simple interest for any principal is given by

I = p* r* t/100

I = interest rate accrued on principle amount

p is the amount deposited

r is the rate of interest

t is the time period of saving

_______________________________________________

For year one

p = $100

r = 4.5%

t=1

I = 100*4.5*1/100 = 4.5

_______________________________________________

For year two $100 more is added to already existing $100 in account.

p = 100 +100 = $200

r = 4.5%

t=1

I = 200*4.5*1/100 = 9

_______________________________________________

For year two $100 more is added to already existing $200 in account after two years.

p = 100 +100 +100 = $300

r = 4.5%

t=1

I = 300*4.5*1/100 = 13.5

_______________________________________________

There fore total money in Margo account is

$300 saving deposited by her

$4.5 + $9 + $13.5 = $27 (interest accrued in three time)

Formulating the results in tabular form

principal interest total money in account

at the end of year

Year one 100 4.5 104.5

year two 200 9 +4.5 213.5

year three 300 9 +4.5 + 13.5 327

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2 years ago

Draw a graph of the rose curve. r = -3 sin 5θ, 0 ≤ θ ≤ 2π

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Tada, Its on the Image. Hoped I helped :)

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2 years ago

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A car insurance company suspects that the younger the driver is, the more reckless a driver he/she is. They take a survey and gr

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Answer:

The confidence interval for the difference in proportions is

$-0.028\leq p_1-p_2 \leq 0.096$

No. As the 95% CI include both negative and positive values, no proportion is significantly different from the other to conclude there is a difference between them.

Step-by-step explanation:

We have to construct a confidence interval for the difference of proportions.

The difference in the sample proportions is:

$p_1-p_2=x_1/n_1-x_2/n_2=(183/217)-(322/398)=0.843-0.809\\\\p_1-p_2=0.034$

The estimated standard error is:

$\sigma_{p_1-p_2}=\sqrt{\frac{p_1(1-p_1)}{n_1}+\frac{p_2(1-p_2)}{n_2} } \\\\\sigma_{p_1-p_2}=\sqrt{\frac{0.843*0.157}{217}+\frac{0.809*0.191}{398} } \\\\\sigma_{p_1-p_2}=\sqrt{0.000609912+0.000388239}=\sqrt{0.000998151} \\\\ \sigma_{p_1-p_2}=0.0316$

The z-value for a 95% confidence interval is z=1.96.

Then, the lower and upper bounds are:

$LL=(p_1-p_2)-z*\sigma_p=0.034-1.96*0.0316=0.034-0.062=-0.028\\\\\\UL=(p_1-p_2)+z*\sigma_p=0.034+1.96*0.0316=0.034+0.062=0.096$

The confidence interval for the difference in proportions is

$-0.028\leq p_1-p_2 \leq 0.096$

<em>Can it be concluded that there is a difference in the proportion of drivers who wear a seat belt at all times based on age group?</em>

No. It can not be concluded that there is a difference in the proportion of drivers who wear a seat belt at all times based on age group, as the confidence interval include both positive and negative values.

This means that we are not confident that the actual difference of proportions is positive or negative. No proportion is significantly different from the other to conclude there is a difference.

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2 years ago

Nancy is studying constellations in science class. Two things are strongly supported by all random samples of the number of star

Alona [7]

The first one

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2 years ago

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Elena measured the perimeter of a square desk and found 359 cm. Andre measured the perimeter of the same desk and found 3,579 mm

kherson [118]

Answer:

Step-by-step explanation:

Since 1cm=10mm

(big to small multiply, small to big divide)

3579/10=357.9

so 1.1 cm or 11 mm

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2 years ago