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ivanzaharov [21]
3 years ago
11

Jake cuts out five-pointed stars. They are different sizes, but they

Mathematics
1 answer:
777dan777 [17]3 years ago
3 0

Answer:4

Step-by-step explanation:

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Three times the sum of a number and 2<br> is 7
Ainat [17]
3(x+2)=7 X=1/3 Because 3(x+2) would simplify to 3x+6=7 and then its a two-step equation
8 0
2 years ago
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What is the slope of the line through the points (-2, -1) and (4, 3)? ​
Natalka [10]

Answer:

#2 option: \frac{2}{3}

Step-by-step explanation:

slope=\frac{rise}{run} =\frac{y^2-y^1}{x^2-x^1}

\frac{3-(-1)}{4-(-2)}=\frac{-4}{-6} =\frac{-2}{-3} =\frac{2}{3}

=  \frac{2}{3}

8 0
2 years ago
Rewrite this expression using a positive exponent.<br> -7<br> 5
Sergio [31]

Answer:

1/5^7

Step-by-step explanation:

5 0
3 years ago
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The formula y = mx + b is called the slope-intercept form of a line. Solve this formula for m
Evgesh-ka [11]

Answer:

m = \frac{y-b}{x}

Step-by-step explanation:

Given

y = mx + b ( subtract b from both sides )

y - b = mx ( divide both sides by x )

\frac{y-b}{x} = m

3 0
3 years ago
f the dean wanted to estimate the proportion of all students receiving financial aid to within 3% with 99% reliability, how many
Oksanka [162]

Answer:

n=1849

Step-by-step explanation:

Previous concepts

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{p(1-p)}{n}})

Solution to the problem

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 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58

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 0.03 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)  

Assuming that the proportion is estimated \hat p =0.5. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.03}{2.58})^2}=1849  

And rounded up we have that n=1849

7 0
3 years ago
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