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kap26 [50]
3 years ago
12

Amare runs 1/10 mike in 2/3 minute. What is his speed in miles per minute?

Mathematics
1 answer:
DaniilM [7]3 years ago
7 0

Answer:

6 2/3 minutes

Step-by-step explanation:

6 2/3 minutes

Step-by-step explanation:

Amare runs 1/10 mile in 2/3 minutes

Therefore his speed in miles per minutes clean be calculated as follows

= 1/10, the denominator here is 10

= 10 × 2/3

= 20/3

= 6 2/3 minutes

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Bruno is 4.5 times as old as Charles if Bruno is 27 how old is Charles
andrey2020 [161]

Answer:

6

Step-by-step explanation:

Bruno(B)= 4.5× Charles(C)

8 0
3 years ago
Read 2 more answers
A system of equations is shown below:
padilas [110]

Answer:

y=3

x=2

Step-by-step explanation:

i have answered it....feel free to ask if u don't get it

8 0
3 years ago
An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by th
monitta

Answer:

a) n =1623

b) ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208    

Step-by-step explanation:

1) Notation and definitions

n random sample taken

\hat p=0.19 estimated proportion of customers are not satisfied with the service provided by the local dealer

Confidence =0.96 or 96%

Me= 0.02 represent the margin of error

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".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 96% of confidence, our significance level would be given by \alpha=1-0.96=0.04 and \alpha/2 =0.02. And the critical value would be given by:

z_{\alpha/2}=-2.0538, z_{1-\alpha/2}=2.0538

The margin of error for the proportion interval is given by this formula:  

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

And on this case we have that ME =\pm 0.02 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

And replacing into equation (b) the values from part a we got:

n=\frac{0.19(1-0.19)}{(\frac{0.02}{2.0538})^2}=1622.912  

And rounded up we have that n=1623

Part b

The margin of error is given by:

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

So then if w replace the value of n obtained from part a we got:

ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208    

3 0
3 years ago
If the can of dogfood holds 8 ounces and the bag of dogfood holds 30 times the volume , how many pounds of dogfood does the bag
Maru [420]

Answer:

15 pound in a bag

Step-by-step explanation:

one can= 8 oz

one bag= 30 times the amount in a can

               8 oz x 30 =  240 oz in a bag

Question asked how many pound is in one bag of dog food:

We know that 16 oz = 1 pound

                       240 oz = x pound

To find x pound we divide 240 oz by 16 oz-->

240 oz/ 16 oz = 15 pound

7 0
3 years ago
The diameter of a cookie is 2 inches. If π = 3.14, what is the area of the cookie, rounded to the nearest tenth?
insens350 [35]

Answer:

3.1 inches

Step-by-step explanation:

Area of the cookie =Pi r^2

Pi = 3.14

Diameter = 2inches

Radius r = diameter/2 = 2/2

= 1

Therefore

Area = 3.14 x 1^2

= 3.14 x 1 x 1

= 3.1 inches

3 0
3 years ago
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