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3 years ago

√24 rational or irrational

Mathematics

2 answers:

8090 [49]3 years ago

8 0

Answer:

im pretty sure its irrational hope i helped love yall

Step-by-step explanation:

ludmilkaskok [199]3 years ago

8 0

Answer:

it is irrational

Step-by-step explanation:

the reason is because I looked it up

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It appears that people who are mildly obese are less active than leaner people. One study looked at the average number of minute

NemiM [27]

Answer:

a) 10.93% probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes.

b) 99.22% probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , a large sample size can be approximated to a normal distribution with mean $\mu$ and standard deviation $\frac{\sigma}{\sqrt{n}}$ .

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.

Mildly obese

Normally distributed with mean 373 minutes and standard deviation 67 minutes. So $\mu = 373, \sigma = 67$

A) What is the probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes?

So $n = 5, s = \frac{67}{\sqrt{5}} = 29.96$

This probability is 1 subtracted by the pvalue of Z when X = 410.

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

$Z = \frac{410 - 373}{29.96}$

$Z = 1.23$

$Z = 1.23$ has a pvalue of 0.8907.

So there is a 1-0.8907 = 0.1093 = 10.93% probability that the mean number of minutes of daily activity of the 5 mildly obese people exceeds 420 minutes.

Lean

Normally distributed with mean 526 minutes and standard deviation 107 minutes. So $\mu = 526, \sigma = 107$

B) What is the probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes?

So $n = 5, s = \frac{107}{\sqrt{5}} = 47.86$

This probability is 1 subtracted by the pvalue of Z when X = 410.

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

$Z = \frac{410 - 526}{47.86}$

$Z = -2.42$

$Z = -2.42$ has a pvalue of 0.0078.

So there is a 1-0.0078 = 0.9922 = 99.22% probability that the mean number of minutes of daily activity of the 5 lean people exceeds 420 minutes.

7 0

3 years ago

An arc is 6.5 cm long and it subtends a central angle of 45 degrees. Find the radius of the circle.

Orlov [11]

Arc length = radius * central angle (measured in radians)
There are 57.2957795131 degrees per radian so
45 degrees = (45 / 57.2957795131) = 0.7853981634 radians 
radius = arc length / central angle (radians)
radius = 6.5 / 0.7853981634 radians = 8.2760570408 cm

http://www.1728.org/radians.htm

8 0

3 years ago

Find the x-intercept and the y-intercept for the graph of the equation x+y=7

Gekata [30.6K]

All of them are wrong except for the third one

8 0

3 years ago

A salesperson earns a 10% commission on the selling price of each vehicle after a $2,000 dealership fee is deducted from that pr

Ipatiy [6.2K]

Answer:

Salesprice =$25000

Step-by-step explanation:

comission=$ 2300;10

salespreice=x:100

x=2300*100/10=$23000

dealership fee= $2000

salesprice= $25000

5 0

4 years ago

A random sample of 10 single mothers was drawn from a Obstetrics Clinic. Their ages are 22, 17, 27, 20, 23, 19, 24, 18, 19, and

Sever21 [200]

Answer:

The two-tailed P value equals 0.2308

By conventional criteria, this difference is considered to be not statistically significant.

Step-by-step explanation:

Given is a random sample of 10 single mothers

the ages are given as

22, 17, 27, 20, 23, 19, 24, 18, 19, and 24 years

H0: Mean = 20

Ha: Mean not equals 20

(two tailed test at 5% significance level)

The hypothetical mean is 20.00

The actual mean is 21.30

The difference between these two values is 1.30

The 95% confidence interval of this difference:

From -0.99 to 3.59

t = 1.2851

df = 9

standard error = 1.012

The two-tailed P value equals 0.2308

By conventional criteria, this difference is considered to be not statistically significant.

6 0

3 years ago