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Rina8888 [55]
3 years ago
15

Evaluate the following expression using the values given:

Mathematics
2 answers:
erma4kov [3.2K]3 years ago
7 0
The result of this question is -23
Y_Kistochka [10]3 years ago
7 0

Answer:

The solution is -23

Step-by-step explanation:

We need to solve the expressionx^{3}-2y^{2}-3x^{3}+z^{4} at x=3,y=5, \text{and} \ z=-3

Replace 'x' with 3, 'y' with 5 and 'z' with -3 in x^{3}-2y^{2}-3x^{3}+z^{4}

3^{3}-2(5)^{2}-3(3)^{3}+(-3)^{4}

27-2(25)-3(27)+81

27-50-81+81

-23

Therefore, the solution is -23

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Which of the following numbers has a prime factorization of 2 x 5 x 5?
Archy [21]

Answer:

5×5

Step-by-step explanation:

the factorazation is 5×5

7 0
3 years ago
How do you graph x = 40?
Pani-rosa [81]

Answer:

Step-by-step explanation:

Draw an infinite vertical line on the +40 x axis.

5 0
2 years ago
Read 2 more answers
How could you rewrite (-3 + 5) + 8 + (-1)
vagabundo [1.1K]

(-3 + 5) + 8 + (-1)=

2 + 8 - 1 =

= 9

7 0
2 years ago
(0,4)<br> (3,-2)<br><br> The slope is m<br> and the y-intercept is b =
Rudiy27

Answer:

m = -2

y-intercept = 4

Step-by-step explanation:

m = y2-y1/x2-x1

so

m = -2-4/3-0

=-2

y=mx+b

Substitute the coordinates into the equation to find b

4=-2(0)+b

4=b

so y intercept is 4

y=-2x+4

5 0
2 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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