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2 years ago

A healthy, adult cheetah can run 110 feet per second. How fast can a cheetah run in miles per hour?

Mathematics

2 answers:

Gre4nikov [31]2 years ago

8 0

Hello!

If this adult cheetah can run 110 feet in a second, in can run 6600 feet in a minute. If we multiply this by 60 again, we see that it would run 396000 feet in an hour. If we divide that by 5,280, we will get our miles.

396000/5,280=75

Therefore, our cheetah can run 75 mph.

I hope this helps!

almond37 [142]2 years ago

4 0

75 miles per hour I believe.

You might be interested in

Determine the sample size needed to construct a 90% confidence interval to estimate the population proportion when p = 0.65 and

WINSTONCH [101]

Answer:

n=170

Step-by-step explanation:

1) Notation and definitions

$n$ random sample taken (variable of interest)

$\hat p=0.65$ estimated proportion.

$p$ true population

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

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

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 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.05$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.64$

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 $ME =\pm 0.06$ 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:

$n=\frac{0.65(1-0.65)}{(\frac{0.06}{1.64})^2}=169.968$

And rounded up we have that n=170

6 0

3 years ago

A coffee supply store waits until the orders for its special blend reach 100 pounds before making up a batch. Columbian coffee s

yan [13]

X - Columbian coffee ( in pounds),
y - Brazilian coffee ( in pounds );
x + y = 100
8.85 x + 3.85 y = 6.55 ( x + y )
----------------------------------------
x = 100 - y
8.85 ( 100 - y ) + 3.85 y = 6.55 * 100
855 - 8.55 y + 3.85 y = 655
- 5 y = - 230
y = ( - 230 ) : ( - 5 )
y = 46
x = 100 - 46
x = 54
Answer: 54 pounds of Columbian coffee and 46 pounds of Brazilian coffee should be used.

5 0

2 years ago

How do I find the area for this?

Olegator [25]

Answer: when u doing area know you are multiplying hope i help

Step-by-step explanation:

3 0

2 years ago

May u guys help me jus me out 5 ez questions for u guys to help me with

Elena-2011 [213]

Answer:

1. -29/156 2. 38/45 3. 29/45 4. 113/24 or about 4.7 5. 457/1, 914/2, 1371/3

Step-by-step explanation:

3/13 - 5/12 can be simplified to 36/156 - 65/156. Subtract this and you get -29/156

4/9 + 2/5 can be simplified to 20/45 + 18/45. Add this and you get

38/45

5/8 - 2/9 can be simplified to 45/72 - 16/72. Subtract this and you get

29/45

3 1/2 + 2 5/12 can be first made irrational to 7/2 + 29/24. This can be simplified to 84/24 + 29/24

113/24 or about 4.7

Not sure about the 457, but to convert it, you multiply it by whatever denominator you have. For example

1x457 = 457/1

2x457 = 914/2

And finally 3x457 = 1371/3

3 0

2 years ago

I will mark branlest if you are right

schepotkina [342]

Answer:

1) y=(-1/4)x+(11/4)

2) y=(4)x-33

3) y=(2/3)x-11/3

4) y=(5)x-2

5) y=(3)x-7

6) y=(-1/4)x+(6)

Step-by-step explanation:

1) y=mx+b 3=(-1/4)(-1)+b b= 11/4

2) y=mx+b -5=(4)(7)+b b= -33

3) y=mx+b -5=(2/3)(-2)+b b= -11/3

4) y=mx+b 3=(5)(1)+b b= -2

5) y=mx+b -1=(-3)(-2)+b b= -7

6) y=mx+b 7=(1/4)(4)+b b= 6

6 0

3 years ago