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3 years ago

Urgent question in Mathematics. Solve this to get 15 points

Mathematics

2 answers:

Crazy boy [7]3 years ago

5 0

The correct answer is B

Mnenie [13.5K]3 years ago

3 0

Answer:

Step-by-step explanation:

Note that 2^4 - 2^3 = 16 - 8 = 8 = 2^3

In a similar way 2^6 - 2^5 = 64 - 32 = 32 = 2^5.

So 2^99 - 2^98 = 2^98 , 2^98 - 2^97 = 2^97 , 2^97 - 2^96 = 2^96 and so on.

Therefore when we come to the last 2 terms we have 2^1 - 2^0 = 2 - 1

= 1 , so the answer is 1.

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Both questions plzzz thanks

andrew11 [14]

Answer:

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the loan.

P represents the principal or amount taken as loan

R represents interest rate

T represents the duration of the loan in years.

1) From the information given,

P = cost of gym = $2200

R = 6%

T = 3 years

I = (2200 × 6 × 3)/100 = $395

The total amount that he would pay after 3 years is

2200 + 395 = $2596

If he decides to continue going to the gym, the total amount that the would pay in 3 years(3 × 12 = 36 is

80 × 36 = 2880

Therefore, paying for the gym would cost more. He should take the loan.

2) if she takes the loan, the interest would be

I = (18000 × 7.5 × 5)/100 = $6750

The total amount that she would pay back after 5 years is

6750 + 18000 = $24750

Since the value that would be added to her house is $25000, therefore, she should buy it.

6 0

3 years ago

Convert 2 Liters to gallons. Use the fact that 1 gal.= 3.8L.

iris [78.8K]

we know that

1 gal.= 3.8L

we can also write as

3.8L=1 gal

Firstly, we will find for 1L

so, we can divide both sides by 3.8

$\frac{3.8}{3.8} L=\frac{1}{3.8}gal$

$1 L=\frac{1}{3.8}gal$

now, we will multiply both sides by 22

$22*1 L=22*\frac{1}{3.8}gal$

$22L=5.78947 gal$

$22L=5.8 gal$

so, option-b.............Answer

8 0

3 years ago

Jada has 12 pencils and 24 erasers. She wants to create identical groups. What is the

nekit [7.7K]

Answer:

Step-by-step explanation:

6 0

3 years ago

What is up guys!

melisa1 [442]

Answer:

Yes, No, Yes

Step-by-step explanation:

<u>Use the Pythagorean theorem:</u>

a² + b² = c²

<u>Verify this for each line:</u>

28² + 45² = 53²
2809 = 2809
Yes

33² + 56² = 64²
4225 ≠ 4096
No

36² + 77² = 85²
7225 = 7225
Yes

5 0

2 years ago

A sample of size 6 will be drawn from a normal population with mean 61 and standard deviation 14. Use the TI-84 Plus calculator.

AVprozaik [17]

Answer:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean". The letter $\phi(b)$ is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: $\phi(b)=P(z$

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

8 0

3 years ago