Mr. G wants to cut boards that are 1 1/2 foot long. If he has an 18 foot long board, how man pieces can he cut?

Benson has a bankruptcy on his credit report, so he pays higher interest rates on his current loans. he calculates that the extr

Scrat [10]

The additional interest Benson pay each month is $750 if he invested at the rate of 2% for one year, option (b) is correct.

<h3>What is simple interest?</h3>

It is defined as the interest on the based on the principal amount, it does not include the compounded amount. The interest calculate on the initial amount or borrowed amount.

We know the formula for the simple interest is given by:

I = PRT

Where I is the simple interest.

P is the principal amount

R is the rate of interest

We have in the question:

I = $180

R = 2% = 0.02

T = 1 year

Put the above values in the formula, we get:

180 = P(0.02)(1)

P = $9000

The additional interest Benson pay each month is:

= 9000/12

= $750

Thus, the additional interest Benson pay each month is $750 if he invested at the rate of 2% for one year option (b) is correct.

Learn more about the simple interest here:

brainly.com/question/22621039

7 0

2 years ago

PLEASE I NEED HELP!!!!!

AVprozaik [17]

Answer:

113.1 =VOLUME , 4/3 X 3.14 (3) ^3 = 113.1

7 0

3 years ago

A self proclaimed psychic was tested for ESP. The psychic was presented with 200 cards face down and asked to determine if the c

swat32

Answer:

The 95% confidence interval would be given (0.172;0.288).

We are confident at 95% that the true probability that the psychic correctly identifies the symbol on the card in a random trial is between (0.172;0.288).

We can conclude that her random guessing would have got her correct 20% of the time. Since the confidence interval contains 0.2, she has no psychic powers, rather she just guessed it like normal people. Any person could have got it correct this many times.

Step-by-step explanation:

Previous concepts

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 means 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.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Description in words of the parameter p

$p$ represent the probability that the psychic correctly identifies the symbol on the card in a random trial

$\hat p$ represent the estimated probability that the psychic correctly identifies the symbol on the card in a random trial

n=200 is the sample size required

$z_{\alpha/2}$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Numerical estimate for p

In order to estimate a proportion we use this formula:

$\hat p =\frac{X}{n}$ where X represent the cases successful

$\hat p=\frac{46}{200}=0.23$ represent the estimated probability that the psychic correctly identifies the symbol on the card in a random trial

Confidence interval

The confidence interval for a proportion is given by this formula:

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

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$0.23 - 1.96 \sqrt{\frac{0.23(1-0.23)}{200}}=0.172$

$0.23 + 1.96 \sqrt{\frac{0.23(1-0.23)}{200}}=0.288$

And the 95% confidence interval would be given (0.172;0.288).

We are confident at 95% that the true probability that the psychic correctly identifies the symbol on the card in a random trial is between (0.172;0.288).

We can conclude that her random guessing would have got her correct 20% of the time. Since the confidence interval contains 0.2, she has no psychic powers, rather she just guessed it like normal people. Any person could have got it correct this many times.

6 0

3 years ago

Can you explain too? please and thank you

vitfil [10]

Answer:

I think you do 27 divided by 6 then multiple whatever you get by 17

27 divided by 6= 4.5

X 17 = 76.5

Step-by-step explanation:

I think this is how... you find the amount you need for 1 cup flour then multiply by 17 since you now know the amount of honey needed for one cup flour

7 0

3 years ago

Read 2 more answers

The expression 2( 21x + 75 ) represents the monthly tuition and the one-time materials fee that Jamie pays for his two children

ss7ja [257]

Answer: x represents the number of months, 150 represents one-time materials fee, 2( 21x + 75 ) represents total fees in x months and 42 represents rate of change.

Step-by-step explanation:

Since, Here the expression 2( 21x + 75 ) represents the monthly tuition and the one-time materials fee that Jamie pays for his two children to join a science club.

Let, f(x) represents the monthly tuition fee

Therefore, f(x)= 2( 21x + 75 )

⇒f(x)= 42 x +150

Again according to the question, there is a one-time materials fee which must be free from the variable.

Therefore In f(x) , 150 must represent one time material fees.

And, x is variable, and here number of months is a variable.

Thus, x must be denote the number of months.

And, 42 must be denote the fees for 1 month.

8 0

3 years ago