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oksano4ka [1.4K]

2 years ago

10

A box of powdered laundry detergent contains 5.2 ounces of detergent. It takes 0.7 ounce of detergent to clean a load of laundry

. How many full loads can by cleaned with 3 boxes of this detergent?

1 answer:

Brut [27]2 years ago

8 0

We know that there are 3 boxes of detergent that are all 5.2 oz. To find out how many oz you have all together, you need to multiply 3 by 5.2 This comes out to 15.6
Now, you need to divide 15.6 by 0.7 This comes out to 22.2857143... and on and on, but it asks how many <em>full loads</em> can be cleaned. You can only do 22 full loads with three boxes of detergent. (:

Answer: 22 full loads

Hope this helps, and feel free to ask more questions if you need!! (:

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Tommy Webster obtained a 30-year, $110,000.00 mortgage loan from People's Savings. The interest rate is 7.5 percent. For the fir

Pepsi [2]

The interest on the first monthly payment is ...
I = Prt
I = 110,000*7.5%*(1/12)= 687.50

For the first payment, the interest is
$687.50

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The time period for the interest rate calculation is 1/12 year.

4 0

2 years ago

Alex's friend Pablo comes up with an exact equation to find out how many bags he needs. Use his equation

Bezzdna [24]

Answer:

8.5 bags are needed.

Step-by-step explanation:

Given : Number of bags needed $B=x(2x+7)+3(2x+7)+(x+4)$

$(2x + 7) = 4$

To Find : how many bags he needs?

Solution :

$(2x + 7) = 4$

$2x=-3$

$x=-\frac{3}{2}$

Now we are given that Number of bags needed $B=x(2x+7)+3(2x+7)+(x+4)$

Substitute the value of x

$B=(\frac{-3}{2})(2(\frac{-3}{2})+7)+3(2(\frac{-3}{2})+7)+((\frac{-3}{2})+4)$

$B=8.5$

Hence 8.5 bags are needed.

3 0

2 years ago

When p2 – 4p is subtracted from p2 + p – 6, the result is . To get p – 9, subtract from this result.

DochEvi [55]

Answer:

When p2 – 4p is subtracted from p2 + p – 6, the result is:

p2+p-6-(p2-4p)=p2+p-6-p2+4p=5p-6

To get p – 9, subtract from this result x:

5p-6-x=p-9

Solving for x:

5p-6-x+x-p+9=p-9+x-p+9

4p+3=x

x=4p+3

Answer:

1) When p2 – 4p is subtracted from p2 + p – 6, the result is 5p-6

2) To get p – 9, subtract from this result 4p+3

Step-by-step explanation:

7 0

2 years ago

A helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. Angle ABC

In-s [12.5K]

Please consider the attached graph.

We have been given that a helicopter flies 8 km due north from A to B. It then flies 5 km from B to C and returns to A as shown in the figure. The measure of angle ABC is 150°. We are asked to find the area of triangle ABC.

We will use trigonometric area formula to solve our given problem.

$A=\frac{1}{2}a\cdot c\cdot\text{sin}(b)$ , where angle b is angle between sides a and c.

For our given triangle $a=5,c=8$ and measure of angle b is 150 degrees.

$A=\frac{1}{2}(5)\cdot (8)\cdot\text{sin}(150^{\circ})$

$A=5\cdot 4\cdot(0.5)$

$A=10$

Therefore, the area of the triangle ABC is 10 square kilo-meters and option 'c' is the correct choice.

6 0

2 years ago

6.In a sample of 131 women with cosmetic dermatitis from using eye shadow, 12 were diagnosed with a nickel allergy. In a sample

aivan3 [116]

Answer:

a) $0.0916 - 1.96\sqrt{\frac{0.0916(1-0.0916)}{131}}=0.0422$

$0.0916 + 1.96\sqrt{\frac{0.0916(1-0.0916)}{131}}=0.1410$

So then we can conclude that the true proportion of women with cosmetic dermatitis from using eye shadow at 95% of confidence is between (0.0422 and 0.1410)

b) $\hat p = \frac{25}{250}= 0.1$

$0.1 - 1.96\sqrt{\frac{0.1(1-0.1)}{250}}=0.0628$

$0.1 + 1.96\sqrt{\frac{0.1(1-0.1)}{250}}=0.1372$

So then we can conclude that the true proportion of women with cosmetic dermatitis from using mascara at 95% of confidence is between (0.0628 and 0.1372)

c) For this case we see that both confidence intervals contains the value of 0.12 so then we can't conclude that only one group is referenced at the significance level of 0.05 used.

Step-by-step explanation:

Part a

The estimated proportion of women with cosmetic dermatitis from using eye shadow is given by:

$\hat p =\frac{12}{131}= 0.0916$

The confidence interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

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

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

Replacing we got:

$0.0916 - 1.96\sqrt{\frac{0.0916(1-0.0916)}{131}}=0.0422$

$0.0916 + 1.96\sqrt{\frac{0.0916(1-0.0916)}{131}}=0.1410$

So then we can conclude that the true proportion of women with cosmetic dermatitis from using eye shadow at 95% of confidence is between (0.0422 and 0.1410)

Part b: A 95% confidence interval for the women with cosmetic dermatitis from using mascara

$\hat p = \frac{25}{250}= 0.1$

$0.1 - 1.96\sqrt{\frac{0.1(1-0.1)}{250}}=0.0628$

$0.1 + 1.96\sqrt{\frac{0.1(1-0.1)}{250}}=0.1372$

So then we can conclude that the true proportion of women with cosmetic dermatitis from using mascara at 95% of confidence is between (0.0628 and 0.1372)

Part c: Suppose you are informed that the true proportion with a nickel allergy for one of the two groups (eye shadow or mascara) is .12. Can you determine which group is referenced? Explain.

For this case we see that both confidence intervals contains the value of 0.12 so then we can't conclude that only one group is referenced at the significance level of 0.05 used.

7 0

2 years ago