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3 years ago

6

Full-time ph.d. students receive an average of $12,837 per year with a standard deviation of $3000. find the probability that th

e average salary of a group of 16 randomly selected ph.d. students is more than $13,000.

1 answer:

Ainat [17]3 years ago

7 0

It is about 41.4% according to my TI-83/84 calculator.

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Numbers shade ins and lines

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3 years ago

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Can someone help me with this question? Whoever helps will get brainliest answer. thank you.

enyata [817]

Answer:

Final answer is $x^2$ .

Step-by-step explanation:

Given expression is $x^{\left(\frac{4}{3}\right)}\cdot x^{\left(\frac{2}{3}\right)}$

Now we need to find about what is product of both factors.

We see that both factors are in exponent form having equal base "x".

So we can apply formula: $x^m\cdot x^n=x^{\left(m+n\right)}$

$x^{\left(\frac{4}{3}\right)}\cdot x^{\left(\frac{2}{3}\right)}$

$=x^{\left(\frac{4}{3}+\frac{2}{3}\right)}$

$=x^{\left(\frac{4+2}{3}\right)}$

$=x^{\left(\frac{6}{3}\right)}$

$=x^2$

Hence final answer is $x^2$ .

5 0

2 years ago

Is it possible to construct a triangle with the given lengths? 17, 37, 53

kvv77 [185]

Answer:

Yes

Step-by-step explanation:

In any triangle, the sum of any two sides must be larger than the third side. To test this, we only actually need to pick the two shorter sides. In this case, the following inequality is true:

$17+37>53,\\54>53,\\\text{True}\:\checkmark$

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2 years ago

If f (x) = StartRoot x EndRoot + 12 and g (x) = 2 StartRoot x EndRoot, what is the value of (f – g)(144)

Luda [366]

The value of (f-g)(144) is 0

Step-by-step explanation:

We are given:

$f(x)=\sqrt{x}+12\,\,and\,\,\\ g(x)=2\sqrt{x}$

We need to find value of (f-g)(144)

We will put x=144 for both f(x) and g(x)

$(f-g)(144)=f(144)-g(144)\\=\sqrt{144}+12-(2\sqrt{12})\\=12+12-(2(12)\\=24-24\\=0$

So, the value of (f-g)(144) is 0

Keywords: Composite Functions

Learn more about Composite Functions at:

#learnwithBrainly

4 0

3 years ago

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on each of 3 days Derrick rode 6.45 km to school 150 meters to the library and then 500 meters back home. how many kilometers di

Alisiya [41]

1,969.35.
first you add them all up (6.45+150+500)=656.45, which is how much he rode in 1 day, no you multiply it by 3. so 3(656.45)=1,969.35 so thats how many km he rode in three days

6 0

3 years ago