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Katena32 [7]
3 years ago
5

Martha always tries to exercise 30 minutes a day.Write an inequality to represent the number of minutes Martha exercises each da

y
Mathematics
2 answers:
slamgirl [31]3 years ago
8 0

Answer:

x≥30

Step-by-step explanation:

x≥30

No other Number to use

s2008m [1.1K]3 years ago
6 0
X≥30 pretty sure it's right
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In a survey, the planning value for the population proportion is . How large a sample should be taken to provide a confidence in
tatuchka [14]

Answer:

n=350

Step-by-step explanation:

Notation and definitions

n random sample taken  (variable of interest)

\hat p=0.35 estimated proportion  (value assumed)

p true population proportion

Confidence =0.95 or 95% (value assumed)

Me=0.05 (value assumed)

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 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

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 0.05 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{0.35(1-0.35)}{(\frac{0.05}{1.96})^2}=349.586  

And rounded up we have that n=350

4 0
3 years ago
PLEASE HELP, BRAINLIEST FOR THE BEST ANSWER
Zolol [24]

Answer:

Use the distance formula to determine the distance between the two points.

Distance

=

√(x2−x1)^2 + (y2−y1)^2

Substitute the actual values of the points into the distance formula.

√ ( (−6) − 0)^2 +( (−3) − 4)^2

Subtract 0 from −6

√(−6)^2 + ( ( −3 ) −4 )^2

Raise −6 to the power of 2

√36 + ( ( −3 ) −4 )^2

Subtract 4 from −3

√36 + ( −7 )^2

Raise −7 to the power of 2

√ 36 + 49

Add 36 and 49

√85

5 0
2 years ago
Help please I would appreciate it ! 10 points
Helen [10]

Answer:

B and d

Step-by-step explanation:

b and d

3 0
3 years ago
Read 2 more answers
Philip’s rectangular deck is 5 yards wide. The ratio of the width to the length is 4 to 5. What is the approximate length of Phi
VladimirAG [237]

Answer:

12 feet

Step-by-step explanation:

just convert 4 yards into feet

8 0
3 years ago
Read 2 more answers
A jar contains 99 large red​ marbles, 66 small red​ marbles, 88 large blue​ marbles, and 55 small blue marbles. if a marble is c
aliina [53]
I think it would be the first one
3 0
3 years ago
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