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3 years ago

6

There are 32 students in Jenny's class. If the teacher randomly picks a student to call on, what is the probability that Jenny w

ill be called on twice? (If necessary, round to the nearest hundredth.)

1 answer:

Kay [80]3 years ago

7 0

The answer is 2 out of 32

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Find the distance CD rounded to the nearest tenth<br> C=(10,-1) and D=(-6,3)

Fynjy0 [20]

Answer:

CD = 16.5

Step-by-step explanation:

To find the distance between two points, use this formula: $L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }$

point C can be info set 1: (10, -1) x₁ = 10 y₁ = -1

point D can be info set 2: (-6, 3) x₂ = -6 y₂ = 3

Substitute the information into the formula

$L = \sqrt{(x_{2} -x_{1})^{2}+(y_{2} -y_{1})^{2} }$

$CD = \sqrt{(-6 -10)^{2}+(3 -(-1))^{2} }$ Simplify inside each bracket

$CD = \sqrt{(-16)^{2}+(4)^{2} }$ Square the numbers

$CD = \sqrt{256+16 }$ Add inside the root

$CD = \sqrt{272}$ Enter into calculator

$CD = 16.5$ Rounded to the nearest tenth, the first decimal

The distance CD is 16.5.

4 0

3 years ago

Show that the sum of two concave functions is concave. Is the product of two concave functions also concave?

spayn [35]

Answer with explanation:

Let us assume that the 2 functions are:

1) f(x)

2) g(x)

Now by definition of concave function we have the first derivative of the function should be strictly decreasing thus for the above 2 function we conclude that

$\frac{d}{dx}\cdot f(x)$

Now the sum of the 2 functions is shown below

$y=f(x)+g(x)$

Diffrentiating both sides with respect to 'x' we get

$\frac{dy}{dx}=\frac{d}{dx}\cdot f(x)+\frac{d}{dx}\cdot g(x)\\\\$

Since each term in the right of the above equation is negative thus we conclude that their sum is also negative thus

$\frac{dy}{dx}$

Thus the sum of the 2 functions is also a concave function.

Part 2)

The product of the 2 functions is shown below

$h=f(x)\cdot g(x)$

Diffrentiating both sides with respect to 'x' we get

$h'=\frac{d}{dx}\cdot (f(x)\cdot g(x))\\\\h'=g(x)f'(x)+f(x)g'(x)$

Now we can see the sign of the terms on the right hand side depend on the signs of the function's themselves hence we remain inconclusive about the sign of the product as a whole. Thus the product can be concave or convex.

8 0

3 years ago

Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50.00 plus $0.35 per mile driven.

Fittoniya [83]

Answer:

50d * 0.35m

Step-by-step explanation:

so I don't normally do it like this it would normally be 50 * 0.35x. but the days also had a fee unless she doesn't have it for 2 days and only has it one but d is the days she has it and m is the miles driven the * is times

you would have to find out the days she has it unless you don't have that is would be the answer above (if I am wrong I'm sorry)

6 0

3 years ago

Read 2 more answers

How to find the perimeter of shapes

Morgarella [4.7K]

You add the legnths of the sides together exg
if you have rectangle with width=2 legnth=3
permiter=w+w+l+l=2+2+3+3=10

5 0

3 years ago

Can someone please explain this to me please? Thank you : )

Ber [7]

Answer:

7/25

Step-by-step explanation:

if 7% are defective and they order 25% of their lightbulbs from Baker that will be your answer.

6 0

3 years ago