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3 years ago

40.5 percent of a certain number is 65. what is the number?

2 answers:

6 0

The best way to do this is to set up a proportion

40.5 65
------- = -------
100 x

then cross multiply and divide

100 times 65=6500/40.5=160.5

the number is 160.5

I hope I've helped!

Svet_ta [14]3 years ago

6 0

160.49 because you take 65 over x and 40.5 over 100 then cross multiply

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Sabina makes $2,000 per month. She spends $150 on store credit and $250 on an auto loan each month. Does she have excessive debt

never [62]

Answer:

The answer is B because her debt to income ratio is lower than 36 percent

7 0

3 years ago

Location is known to affect the number, of a particular item, sold by an auto parts facility. Two different locations, A and B,

Mama L [17]

We have two samples, A and B, so we need to construct a 2 Samp T Int using this formula:

$\displaystyle \overline {x}_1 - \overline {x}_2 \ \pm \ t^{*} \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }$

In order to use t*, we need to check conditions for using a t-distribution first.

Random for both samples -- NOT STATED in the problem ∴ proceed with caution!
Independence for both samples: 130 < all items sold at Location A; 180 < all items sold at Location B -- we can reasonably assume this is true
Normality: CLT is not met; n < 30 for both locations A and B ∴ proceed with caution!

Since 2/3 conditions aren't met, we can still proceed with the problem but keep in mind that the results will not be as accurate until more data is collected or more information is given in the problem.

Solve for t*:

We need the tail area first.

$\displaystyle \frac{1-.9}{2}= .05$

Next we need the degree of freedom.

The degree of freedom can be found by subtracting the degree of freedom for A and B.

The general formula is df = n - 1.

df for A: 13 - 1 = 12
df for B: 18 - 1 = 17
df for A - B: |12 - 17| = 5

Use a calculator or a t-table to find the corresponding t-score for df = 5 and tail area = .05.

t* = -2.015

Now we can use the formula at the very top to construct a confidence interval for two sample means.

$\overline {x}_A=39$
$s_A=8$
$n_A=13$
$\overline {x}_B = 55$
$s_B=2$
$n_B=18$
$t^{*}=-2.015$

Substitute the variables into the formula: $\displaystyle \overline {x}_1 - \overline {x}_2 \ \pm \ t^{*} \sqrt{\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2} }$ .

$39-55 \ \pm \ -2.015 \big{(}\sqrt{\frac{(8)^2}{13} +\frac{(2)^2}{18} } } \ \big{)}$

Simplify this expression.

$-16 \ \pm \ -2.015 (\sqrt{5.1453} \ )$
$-16 \ \pm \ 3.73139$

Adding and subtracting 3.73139 to and from -16 gives us a confidence interval of:

$(-20.5707,-11.4293)$

If we want to interpret the confidence interval of (-20.5707, -11.4293), we can say...

We are 90% confident that the interval from -20.5707 to -11.4293 holds the true mean of items sold at locations A and B.

5 0

1 year ago

Quadrilateral MNOP is a rhombus. If the measure of Angle PON = 124, find the measure of Angle POM.

Degger [83]

In a parallelogram, two angles are equal and another two angles are equal. The total amount of angles is 360.124 * 2 = 248. 112 / 2 is 56. The answer is 56.

8 0

2 years ago

Read 2 more answers

-9÷-1what is -9 divided by -1

evablogger [386]

-9 is the answer hope this helps.

8 0

2 years ago

Find the value of the function sin 460

rodikova [14]

Answer:

Sin(460 radians)= .97054

sin(460 degrees)= 0.98480775301

Step-by-step explanation:

I'm not sure where you are from, but usually you are allowed to use a calculator. (At least I was when I took Algebra 2/Trig in 6th grade.)

You never specified radians or degrees so I will answer both.

sin(460 radians)= .97054

sin(460 degrees)= 0.98480775301

If you are not allowed to use a calc, then I suggest looking at unit circle videos on Khan Academy.

7 0

3 years ago