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Ratling [72]
2 years ago
5

Solve the following inequality. 2P-3>P+6

Mathematics
1 answer:
viva [34]2 years ago
8 0
The answer is p>9 bhubhjbjjk
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In 14 the perimeter of the figure Is given. find the length of the indicated side
olga2289 [7]

3x - 7

The perimeter is the sum of all 3 sides of the triangle

To find the third side subtract the sum of the 2 known sides from the perimeter

x + 3 + 2x + 4 = 3x + 7

third side = 6x - (3x + 7 ) = 6x - 3x - 7 = 3x - 7


4 0
3 years ago
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
Select the GCF of these numbers
GenaCL600 [577]

Answer:

c

Step-by-step explanation:

3⁶ * 4² * 12 = 3⁶ * 4² * 4*3 = 3⁷ * 4³

3³ * 4 * 5

GCF= 3³ * 4

Only common factor with minimum power

4 0
3 years ago
Solve for x <br> A 15 <br> B 16<br> C 2.4<br> D 12
Ne4ueva [31]

Answer: bd=8 dc=2 and ae=4 so value of ab=16

Step-by-step explanation:

7 0
2 years ago
Gordon recorded a temperature of -22°C, and Maki recorded a temperature of 13°C. How much warmer was the temperature that Maki r
Nikolay [14]

Answer:

35°C

Step-by-step explanation:

13+22=35

5 0
3 years ago
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