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3 years ago

Which expression is equivalent to 4(42)

Mathematics

2 answers:

Maurinko [17]3 years ago

7 0

Answer:

4 x 42

4·42

Step-by-step explanation:

A number outside of parentheses usually indicates that the number is meant to be multiplied with the values inside of the parentheses. In this case, you'd multiply 4 and 42- which could just as easily be expressed as 4 x 42 or 4·42.

navik [9.2K]3 years ago

6 0

Answer:

40+2=42 or 20+22=42

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F(x) = 4x^2+2x+6 what is the discriminant of f? How many distinct real number zeros does f have?

Sunny_sXe [5.5K]

Answer:

The discriminant of f is 92, and it has no real zeros

Step-by-step explanation:

The discriminant of a quadratic is $b^2-4ac$ , where the quadratic is in the form $ax^2+bx+c$ . The discriminant of this one is therefore:

$2^2-4(4)(6)=4-96=-92$

Since the square root of a negative number is imaginary, this quadratic has no real number zeros. Hope this helps!

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2 years ago

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Sedaia [141]

Answer: B) (x-1)2+(y+1)2= 25 radius = 5 miles

Step-by-step explanation:

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3 years ago

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Lyrx [107]

Answer:

The answer are A and D

Step-by-step explanation:

A) A part of a line

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2 years ago

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Your state is considering raising the legal age for consumption of alcoholic beverages to 21 years old. How large a sample size

julsineya [31]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

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:

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

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 $ME =\pm 0.01$ 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)

For this case we can use as estimator for the proportion $\hat p =0.5$ , since we don't have any other previous info. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641$

And rounded up we have that n=16641

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2 years ago

Which expression is equivalent to (-5 x 2^2 x 2^0)^-2

Aloiza [94]

=(-5 x 4 x 1)^-2
= (-20)^-2
= 1/(-20)^2
= 1/400

so D then i think

3 0

3 years ago