Ask question

Ask question

All categories

3 years ago

9

you have $200 in a savings account.Each week for 8 weeks, you take out $18 for spending money. How much money is in your account

at the end of 8 weeks

1 answer:

ivolga24 [154]3 years ago

7 0

Answer:

$56

Step-by-step explanation:

Since you are doing this for 8 weeks, you multiply 8 by 18 and you get 144. You then subtract 144 from 200 and get 56 dollars.

Hope this helped!

You might be interested in

Researchers are interested if a school breakfast program leads to taller children. Assume that the population of all 5 year-old

DedPeter [7]

Answer:

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

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".

$\bar X=39$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=1$ represent the population standard deviation

n=25 represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The margin of error is given by:

$ME= z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.025,0,1)".And we see that $z_{\alpha/2}=1.96$

And replacing we got:

$ME= 1.96 *\frac{1}{\sqrt{25}}= 0.392$

Now we have everything in order to replace into formula (1):

$39-1.96\frac{1}{\sqrt{25}}=38.608$

$39+1.96\frac{1}{\sqrt{25}}=39.392$

So on this case the 95% confidence interval would be given by (38.608;39.392)

7 0

2 years ago

Can you show all steps to simplify (3x-4)+(x+3)^2

ella [17]

<span>(3x-4)+(x+3)^2
= 3x - 4 + x^2 + 6x + 9 .........(expand using (a+b)^2 = a^2 + 2ab + b^2)
= x^2 + 9x + 5 ..........(combine like terms and simplify)

hope that helps</span>

3 0

3 years ago

A dog that weighs 15 pounds should eat 2 1/8 cups of a certain type of dog food per day. How much of the same type of dog food s

cupoosta [38]

If a 15 lbs dog eats................................17/8 cups of food
a 34 lbs dog will eat,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,? cups

(34 * 17/8)/15=(34*17)/(15*8)=289/15= 19 4/15 cups of food

7 0

3 years ago

Factor. Explain.<br> 24x³y²-4x²y+84x^4

Elan Coil [88]

Answer:

$\boxed{\bold{4x^2\left(6xy^2-y+21x^2\right)}}$

Step By Step Explanation:

Apply Exponent Rule $\bold{\:a^{b+c}=a^ba^c}$

$\bold{x^4=x^2x^2,\:x^3y^2=x^2x}$

$\bold{24x^2x-4x^2y+84x^2x^2}$

Rewrite 84: $\bold{21\cdot \:4}$

Rewrite 24: $\bold{6\cdot \:4}$

$\bold{6\cdot \:4x^2x-4x^2y+21\cdot \:4x^2x^2}$

Factor Out Common Term $\bold{4x^2}$

$\bold{4x^2\left(6xy^2-y+21x^2\right)}$

➤ $\boxed{\bold{Mordancy}}$

6 0

2 years ago

What is a reasonable constraint for the model -3.2 2.62 -3.2 0

alexandr402 [8]

Answer:

The answer to your question is C. 3.2

Step-by-step explanation:

| 3.2 |

lines | | mean absolute value, and absolute value means the distance of a number to the origin (0,0) it does not matter the sign.

Then to answer your question just do not write the | | and consider it as a positive sign.

If your question had a negative number ex. | -3.2 | the answer would also be 3.2.

Step-by-step explanation:

7 0

3 years ago