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4 years ago

Solve a a-20=b a= plzz help

1 answer:

7 0

In order to have the variable by itself you have to add 20 to both sides. So your answer would be a=b+20. I hope this helps love! :)

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The life span of a battery is the amount of time the battery will last. The distribution of life span for a certain type of batt

slavikrds [6]

Answer:

0.0548

Step-by-step explanation:

The distribution of life span for a certain type of battery is approximately normal with mean 2.5 hours and standard deviation 0.25 hour.

To find the the probability that a selected battery will have a life span of at most 2.1 hours, we need to first determine the z-score for x=2.1 hours using

$z = \frac{x - \mu}{ \sigma}$

We substitute the values to get:

$z = \frac{2.1 - 2.5}{0.25} = - 1.6$

We read read -1.6 from the standard normal distribution table to get:

P(X≤2.1)=0.0548

7 0

3 years ago

You have been asked to flip a coin for heads or tails and then select a golf ball from a bucket that contains 2 yellow golf ball

kenny6666 [7]

Answer:

{HY1, HY2, HW1, HW2, HW3, HW4, HW5, TY1, TY2, TW1, TW2, TW3, TW4, TW5}

The probability you get tails and select a white golf ball is 0.36

Step-by-step explanation:

There are 2 yellow golf balls: Y1 and Y2

There are 5 white golf balls: W1, W2, W3, W4 and W5

Then, the sample space is: {HY1, HY2, HW1, HW2, HW3, HW4, HW5, TY1, TY2, TW1, TW2, TW3, TW4, TW5}

What is the probability you get tails and select a white golf ball?

desired outcomes {TW1, TW2, TW3, TW4, TW5}

number of desired outcomes: 5

number of possible outcomes: 14

probability: 5/14 = 0.36

4 0

3 years ago

Read 2 more answers

Find the area of the irregular figure.

PilotLPTM [1.2K]

Answer:

Option A. $432\ units^{2}$

Step-by-step explanation:

we know that

The area of the irregular figure is equal to the area of two trapezoids

The area of trapezoid is equal to

$A=\frac{1}{2}(b1+b2)h$

where

b1,b2 are the parallel bases

h is the perpendicular distance between the parallel bases

Find the left trapezoid area

$A1=\frac{1}{2}(4+25)(16)=232\ units^{2}$

Find the trapezoid area on the right

$A2=\frac{1}{2}(25+15)(10)=200\ units^{2}$

The area of the irregular figure is

$A=A1+A2=232\ units^{2}+200\ units^{2}=432\ units^{2}$

6 0

4 years ago

Read 2 more answers

Solve the equation using square roots. round your solutions to the nearest hundredth. X^2+11 = 24

satela [25.4K]

Answer:

I have no idea I am not sure i think 14

Step-by-step explanation:

4 0

3 years ago

F(x) = ( - 3x² + 2 – 2)e". Find f'(x) and f''(x). f'(2) = f''(c) =

prisoha [69]

Answer:

-3x²-5xeˣ-eˣ

-3eˣx²-11eˣx-6eˣ

Step-by-step explanation:

I'm going to go by the picture and not what you wrote in your title.

To find the derivative of this we have to apply the product rule

(a*b)'=

a'*b+a*b'

We plug in our numbers and get

(-3x²+x-2)'*eˣ+(-3x²+x-2)*eˣ'

Now we can evaluate the derivatives and simplify

(-3x²+x-2)'= -6x+1

eˣ'=eˣ

which means we have

(-6x+1)*eˣ+(-3x²+x-2)*eˣ

Simplify

-6xeˣ+eˣ-3x²eˣ+xeˣ-2eˣ

Combine like terms

-3x²eˣ-5xeˣ-eˣ

Now we just need to find the derivative of this

We can apply the same product rule as we did before

(-3x²eˣ)'

Let's start by factoring out the -3 to get

-3(x²eˣ)'

which is equal to

-3(x²eˣ'+x²'eˣ)

Compute this and get

-3(x²eˣ+2xeˣ)= -3x²eˣ-6xeˣ

Now let's find the derivative of the second part

(-5xeˣ)'

-5(x'eˣ+xeˣ')

-5(eˣ+xeˣ)

-5eˣ-5xeˣ

Which means we have

(-3x²eˣ-6xeˣ)+(-5eˣ-5xeˣ)-eˣ

Combine like terms and get

-3eˣx²-11eˣx-6eˣ

3 0

3 years ago