Which monomials are perfect squares? Check all that apply.

Mathematics

2 answers:

Leto [7]3 years ago

9 0

Answer:

The answer is 1, 49x² & 81x⁶ is a perfect sq.

Step-by-step explanation:

If you want to find which is perfect square, you can square root it :

√1 = 1

√24 ≠ whole no.

√66x ≠ whole no.

√49x² = 7x

√100x³ = 10x^... (100 is perfect sq. but x³ is not)

√81x⁶ = 9x³

When you sqrt. a no. , you get a whole no. which means it is a perfect sq.

lora16 [44]3 years ago

5 0

49 x 2 .. hey can you help me too?

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A machine produces a part for the automotive industry. 4% of the parts produced were defective in the past, and we believe that

Mamont248 [21]

Answer:

$n=\frac{0.04(1-0.04)}{(\frac{0.03}{1.64})^2}=114.76$

And rounded up we have that n=115

Step-by-step explanation:

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:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

Solution to the problem

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)

The proportion of defectives is estimated as: $\hat p=0.04$ . And on this case we have that the margin of error is $ME =\pm 0.03$ and we are interested in order to find the value of n, if we solve n from equation (a) we got: