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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.

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What is the perimeter of parallelogram ABDC? 14 cm 13 cm 12 cm 11 cm

Finger [1]

Answer:

13 cm

Step-by-step explanation:

Add up all of the sides and you should get 13.

3 + 3 + 3.5 + 3.5 = 13

4 0

2 years ago

Determine whether the sequence converges or diverges. If it converges, give the limit.

Arte-miy333 [17]

the sequence is geometric, with the common ratio being 1/6 (48 * 1/6 = 8

The formula for a geometric sequence is cr^n where "c" is a constant and "r" is the common ratio
=48(1/6)^n.

A geometric series converges only if the absolute value of the common ratio is < It diverges if the ratio is >or equal to 1.
the ratio is 1/6, so the sequence converges.

Now in this case, the limit seems to approach 0,
values can only keep getting smaller.
If the limit approaches 0, then the series will converge to a definite sum
S = c / (1 - are)
S = 48 / (1 - 1/6)
S = 57.6

series converges, has a limit of 0,
sum of 57.6.
hope this helps

6 0

3 years ago

Hey! im confused on this. ill give more points if you end up being correct :)

Svetlanka [38]

Answer:

Step-by-step explanation:

5 0

3 years ago

Of the total population of American households, including older Americans and perhaps some not so old, 17.3% receive retirement

Alex Ar [27]

Answer:

47.54% probability that more than 20 households but fewer than 35 households receive a retirement income

Step-by-step explanation:

We use the binomial aproxiation to the normal to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$p = 0.173, n = 120$ . So

$\mu = E(X) = np = 120*0.173 = 20.76$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{120*0.173*0.827} = 4.14$

In a random sample of 120 households, what is the probability that more than 20 households but fewer than 35 households receive a retirement income?

We are working with discrete values, so this is the pvalue of Z when X = 35-1 = 34 subtracted by the pvalue of Z when X = 20 + 1 = 21.

X = 34

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{34 - 20.76}{4.14}$

$Z = 3.2$

$Z = 3.2$ has a pvalue of 0.9993

X = 21

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{21 - 20.76}{4.14}$

$Z = 0.06$

$Z = 0.06$ has a pvalue of 0.5239

0.9993 - 0.5239 = 0.4754

47.54% probability that more than 20 households but fewer than 35 households receive a retirement income

6 0

3 years ago

The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What

Oksana_A [137]

Using the domain concept, the restrictions on the domain of (u.v)(x) are given by:

A. u(x) ≠ 0 and v(x) ≠ 2.

<h3>What is the domain of a data-set?</h3>

The domain of a data-set is the set that contains all possible input values for the data-set.

To calculate u(x) x v(x) = (u.v)(x), we calculate the values of u and v and then multiply them, hence the restrictions for each have to be considered, which means that statement A is correct.

Summarizing, u cannot be calculated at x = 0, v cannot be calculated at x = 2, hence uv cannot be calculated for either x = 0 and x = 2.

More can be learned about the domain of a data-set at brainly.com/question/24374080

#SPJ1

3 0

2 years ago