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otez555 [7]
2 years ago
13

Ally has 30 quaters. The ratio if her quarters to dimes is 2:3 and the ratio of her dimes to nickels is 5:3. How many nickles do

es ally have
Mathematics
1 answer:
ryzh [129]2 years ago
6 0
She has 27 nickels.
30/2*3 = 45
45/5*3 =27
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Country A produces about four times the amount of diamonds in carats produced in country B. If the total produced in both countr
sveta [45]

Answer:

Country A produces 20,000,000 & Country B produces 5,000,000

Step-by-step explanation:

Let

amount of diamonds produced by country A be x

and

amount of diamonds produced by country B be y

Since, Country A produces 4 times that of Country B, we can write:

x = 4y

Also, both countries produces a total of 25,000,000 carats, so we can write:

x + y = 25,000,000

Now, we need to find x and y. Putting 1st equation into 2nd equation, we get equation in y. Then we solve for y:

x + y = 25,000,000

4y + y = 25,000,000

5y = 25,000,000

y = 25,000,000/5

y = 5,000,000

And now, x = 4y, so x = 4(5,000,000) = 20,000,000

So Country A produces 20,000,000 & Country B produces 5,000,000 diamond carats

7 0
2 years ago
High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers
mamaluj [8]

Answer:

The 95% confidence interval the average maximum power is (596.0 to 644.0)

Step-by-step explanation:

Average maximum of the sample = x = 620 HP

Standard Deviation = s = 45 HP

Sample size = n = 16

We have to calculate the 95% confidence interval. The value of Population standard deviation is unknown, and value of sample standard deviation is known. Therefore, we will use one sample t-test to build the confidence interval.

Degrees of freedom = df = n - 1 = 15

Critical t-value associated with 95% confidence interval and 15 degrees of freedom, as seen from t-table = t_{\frac{\alpha}{2}} = 2.131

The formula to calculate the confidence interval is:

(x-t_{\frac{\alpha}{2} } \times \frac{s}{\sqrt{n} }, x+t_{\frac{\alpha}{2} } \times \frac{s}{\sqrt{n} })

We have all the required values. Substituting them in the above expression, we get:

(620-2.131 \times \frac{45}{\sqrt{16} }, 620+2.131 \times \frac{45}{\sqrt{16} })\\\\ =(596.0 , 644.0)

Thus, the 95% confidence interval the average maximum power is (596.0 to 644.0)

7 0
2 years ago
A radio station spends 1/40 of each 24 hours on public service announcements. How much time is spent on public service announcem
mihalych1998 [28]
Start by calling the time spend on announcements 'A'. We can then set up an equation to represent the problem:

A=24hours \times \frac{1}{40}

and then solve by multiplication to get:

A=0.6hours

We could also convert this into minutes:

A=0.6hours \times \frac{60mins}{1hour} = 36mins


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