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3 years ago

6

Manny is on vacation in France. He has rented a car to drive 233.3 kilometers from Paris to Brussels and wants to figure out the

distance in miles. Since 1 kilometer is equal to about 0.62 mile, he needs to multiple kilometers by 0.62. About how many miles will Manny drive?

1 answer:

aliina [53]3 years ago

4 0

233.3 times 0.62 equals (whatever) MILEs is the answer. hope it helped

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Repeated student samples. Of all freshman at a large college, 16% made the dean’s list in the current year. As part of a class p

Dima020 [189]

Answer:

a) p-hat (sampling distribution of sample proportions)

b) Symmetric

c) σ=0.058

d) Standard error

e) If we increase the sample size from 40 to 90 students, the standard error becomes two thirds of the previous standard error (se=0.667).

Step-by-step explanation:

a) This distribution is called the <em>sampling distribution of sample proportions</em> <em>(p-hat)</em>.

b) The shape of this distribution is expected to somewhat normal, symmetrical and centered around 16%.

This happens because the expected sample proportion is 0.16. Some samples will have a proportion over 0.16 and others below, but the most of them will be around the population mean. In other words, the sample proportions is a non-biased estimator of the population proportion.

c) The variability of this distribution, represented by the standard error, is:

$\sigma=\sqrt{p(1-p)/n}=\sqrt{0.16*0.84/40}=0.058$

d) The formal name is Standard error.

e) If we divided the variability of the distribution with sample size n=90 to the variability of the distribution with sample size n=40, we have:

$\frac{\sigma_{90}}{\sigma_{40}}=\frac{\sqrt{p(1-p)/n_{90}} }{\sqrt{p(1-p)/n_{40}}}}= \sqrt{\frac{1/n_{90}}{1/n_{40}}}=\sqrt{\frac{1/90}{1/40}}=\sqrt{0.444}= 0.667$

If we increase the sample size from 40 to 90 students, the standard error becomes two thirds of the previous standard error (se=0.667).

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3 years ago

Find the inverse of the function x2 + y2 = 4 and the domain of the inverse for 0 ≤ x ≤ 2.

alexandr402 [8]

To get the inverse "relation" of an expression, we first off, do a quick switcharoo of the variables, and then solve for "y", so let's proceed,

$\bf x^2+y^2=4\qquad inverse\implies \boxed{y}^2+\boxed{x}^2=4
\\\\\\
y^2=4-x^2\implies y=\pm\sqrt{4-x^2}$

and yes, the domain for the range 0 ⩽ x <span>⩽ 2, let's get instead the "range" of the original function,

</span> $\bf x^2+y^2=4\implies 0^2+y^2=4\implies y=\pm\sqrt{4}\implies \boxed{y=\pm 2}
\\\\\\
x^2+y^2=4\implies 2^2+y^2=4\implies 4+y^2=4\implies \boxed{y=0}\\\\
-------------------------------\\\\
\stackrel{\textit{range of original}}{-2\le y \le 2}~~=~~\stackrel{\textit{domain of its inverse}}{-2\le x \le 2}$ <span>
</span>

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3 years ago

Solve the equation by factoring. 2x^2 + 15x + 25 = 0

Pepsi [2]

Answer:(2x+5)(x+5)=0

Step-by-step explanation:

2x^2+15x+25=0

Factorise we have

2x^2+10x+5x+25

(2x^2+10x)+(5x+25)=0

2x(x+5)+5(x+5)=0

(2x+5)(x+5)=0

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3 years ago

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After dinner 1-3 of the corn bread is left suppose 2 friends want to share it equally what fraction names how much of the whole

Ad libitum [116K]

Answer:

Each friend will get $\frac{1}{18}$ of whole pan of corn bread

Step-by-step explanation:

As given,

Corn bread left = $\frac{1}{3}$

Total number of friends = 2

So the left bread will divide into 2 parts

So, each person will get = $\frac{1}{2}$ ( $\frac{1}{3}$ ) = $\frac{1}{6}$ of the left bread

Now,

Left bread = $\frac{1}{3}$ of whole bread

And

Each person get = $\frac{1}{6}$ of the left bread

= $\frac{1}{6}$ × $\frac{1}{3}$ of whole bread

= $\frac{1}{18}$ of whole bread

∴ we get

Each friend will get $\frac{1}{18}$ of whole pan of corn bread

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3 years ago

30 points!!! I think. Anyways, what’s your favorite thing to do with your mom.

igomit [66]

My mom is rly toxic and doesn’t have a relationship w me anymore but I used to like to go shopping w her at the mall and we would get lunch and have a good time.

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3 years ago

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