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Shalnov [3]
3 years ago
13

On a bicycle, you can travel 30 miles in 5 hours. At this

Mathematics
2 answers:
BaLLatris [955]3 years ago
8 0

Answer:

you can travel 12 miles in 2 hours

Step-by-step explanation:

30 / 5 is 6 and 6 x 2 is 12

tensa zangetsu [6.8K]3 years ago
7 0

Answer: i think it's 12 miles.

Step-by-step explanation:

because 30 miles divided by 5 =6 mph is the bicycle's average rate.and 6mph times 2 = 12 miles.

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5/6 of all the money in Salma's bank account is ₹55,000. how much money does Salma have in her bank account?
Vedmedyk [2.9K]

Answer:

₹66,000

Step-by-step explanation:

If 5/6 is 55,000 then just multiply 55,000 by the reciprocal  6/5 to get 66,000

8 0
1 year ago
A rectangular poster is to contain 722 square inches of print. the margins at the top and bottom of the poster are to be 2 inche
Delvig [45]
Let
x ----------> the height of the whole poster
<span>y ----------> the </span>width<span> of the whole poster
</span>
We need to minimize the area A=x*y

we know that
(x-4)*(y-2)=722
(y-2)=722/(x-4)
(y)=[722/(x-4)]+2

so
A(x)=x*y--------->A(x)=x*{[722/(x-4)]+2}
Need to minimize this function over x > 4

find the derivative------> A1 (x)
A1(x)=2*[8x²-8x-1428]/[(x-4)²]

for A1(x)=0
8x²-8x-1428=0
using a graph tool
gives x=13.87 in

(y)=[722/(x-4)]+2

y=[2x+714]/[x-4]-----> y=[2*13.87+714]/[13.87-4]-----> y=75.15 in

the answer is
<span>the dimensions of the poster will be
</span>the height of the whole poster is 13.87 in
the width of the whole poster is 75.15 in

6 0
3 years ago
Graph Photo attached
Andreas93 [3]

p(green) =  \frac{no \: of \: green}{total \: } \\ p =  \frac{8}{40}   \times 100\% \\ p = 20\% \\
option 2
3 0
2 years ago
What is the range of arcsinx
Aleonysh [2.5K]
Y= arcsin(x) is equivalent to sin(y) = x

we know that     -1≤x+1, hence the range of y is:    -π/2≤y≤+π/2
 
3 0
3 years ago
One person wants to get a 95% z-confidence interval with a margin of error of at most 15 based on a population standard deviatio
Bess [88]

Answer:

n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62  

So the answer for this case would be n=62 rounded up to the nearest integer  

Step-by-step explanation:

Previous concepts

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".  

\bar X represent the sample mean for the sample  

\mu population mean

\sigma=60 represent the population standard deviation  

n represent the sample size (variable of interest)  

Confidence =95% or 0.95

The margin of error is given by this formula:  

ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}} (1)  

And on this case we have that ME =15, and we are interested in order to find the value of n, if we solve n from equation (1) we got:  

n=(\frac{z_{\alpha/2} \sigma}{ME})^2 (2)  

The critical value for 95% of confidence interval is provided, z_{\alpha/2}=1.96, replacing into formula (2) we got:  

n=(\frac{1.96(60)}{15})^2 =61.46 \approx 62  

So the answer for this case would be n=62 rounded up to the nearest integer  

6 0
3 years ago
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