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larisa86 [58]
3 years ago
5

While drying, apple loses 14% of its weight. How many pounds of fresh apple is needed to get 10 8/25 lbs of dried apple?

Mathematics
2 answers:
aksik [14]3 years ago
7 0

Answer:

12lbs

Step-by-step explanation:

let x be the amount of apples you need, then:

x-0.14x= 10 8/25

0.86x = 10 8/25

(10 8/25) : 86 * 100 = x

x=12

ad-work [718]3 years ago
4 0

Answer:

Total fresh apple needed = 12

Step-by-step explanation:

It is given that, While drying apple loses 14% of its weight

<u>To find the fresh apple needed</u>

Let x be the total fresh apple needed.

Apple loses 14% of its weight. Final we need 10 8/25 lbs of dried apple

x - 14x/100 = 10 8/25

0.86x = 10 8/25

0.86x = 258/25 = 10.32

x = 12

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fredd [130]

Answer:

Standard deviation of the students = 0.408

The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote  

         = 0.408 X 1600

         = 652.8    

Step-by-step explanation:  

<u><em>Step(i):</em></u>-

Given sample size 'n' = 1600

95% confidence interval of the margin error is determined by

                      M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }

Level of significance = 0.05

Z₀.₀₅ = 1.96

Given Margin of error = 2% = 0.02

       M.E = \frac{Z_{0.05} S.D}{\sqrt{n} }

       0.02 = \frac{1.96 X S.D}{\sqrt{1600} }

      0.02 X √1600 = 1.96 X S.D

       S.D = \frac{0.02X\sqrt{1600} }{1.96} = 0.408

Standard deviation of the students = 0.408

The students would you have to poll to be 95% confident of the outcome within /- 2% of the vote  

         = 0.408 X 1600

         = 652.8  

5 0
3 years ago
Given s = 10 and h = 15. Find the total surface area of the square prism.
anastassius [24]

Answer:

150

Step-by-step explanation:

h = hight

s = sides

surface = 10 x 15

surface = 150

(V = 10 x 10 x 15

(V = 100 x 15)

(V = 1500)

(Base area = B)

(B = Lenght x Width)

(B = 10 x 10)

(B = 100)

3 0
2 years ago
In a simple random sample of 300 boards from this shipment, 12 fall outside these specifications. Calculate the lower confidence
Lyrx [107]

Answer:

The 95% confidence interval for the percentage of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

Step-by-step explanation:

In a random sample of 300 boards the number of boards that fall outside the specification is 12.

Compute the sample proportion of boards that fall outside the specification in this sample as follows:

\hat p =\frac{12}{300}=0.04

The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:

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

The critical value of <em>z</em> for 95% confidence level is,

z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96

*Use a <em>z</em>-table.

Compute the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification as follows:

CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.04\pm1.96\sqrt{\frac{0.04(1-0.04)}{300}}\\=0.04\pm0.022\\=(0.018, 0.062)\\\approx(1.8\%, 6.2\%)

Thus, the 95% confidence interval for the proportion of all boards in this shipment that fall outside the specification is (1.8%, 6.2%).

6 0
3 years ago
Scientists measure a bacteria population and find that it has 10,000 organisms. Five days later, they find that the population h
liraira [26]

Answer:

f(x)= 10,000(2)^x

Step-by-step explanation:

Exponential equations can be modeled by a(r)^x where a is the initial amount, r is the difference, and x is how many units the equation should be squared by.

7 0
2 years ago
A circle is graphed with its center on the origin.The area of the circle is 49 square units.What are the coordinates of the x-in
neonofarm [45]

Answer:

3.95 and -3.95

Step-by-step explanation:

To graph a circle you can use the formula or (x – h)^2 + (y – k)^2 = r^2. So substituting in the given, we get x^2+y^2=49/pi. The x intercept is when y=0. So x^2=49/pi and so

x = sqrt(49/pi) and rounding to the nearest tenth, we get 3.95 and -3.95 because it isn’t a principal square root.

3 0
3 years ago
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