A man has mislaid his wallet. He thinks there is a 0.4 chance that the wallet is somewhere in his bedroom, a 0.1 chance it is in the kitchen, a 0.2 chance it is in the bathroom, and a 0.15 chance it is in the living room. What is the probability that the wallet is a) somewhere else? b) in either the bedroom or the kitchen?

Hi there!

[tex]\large\boxed{\text{No, it does not.}}[/tex]

[tex]y = \frac{x^{2} }{x-1}[/tex]

Looking at the equation, we can see that there is a discontinuity at x = 1 (Vertical Asymptote).

The interval given also includes x = 1 as an enclosed value.

Therefore, the MVT does not apply because the equation is not continuous on the interval [-1, 1].

Answer:

Parallel

Step-by-step explanation:

They're Parallel because whenever you graph them you see they never touch.

Answer:

D. 6 1/12

Step-by-step explanation:

3 2/3 + 1 3/4 + 2/3

= 3 8/12 + 1 9/12 + 8/12

= 3 + 1 + (8/12 + 9/12 + 8/12)

= 4 + (25/12)

= 4 + (24/12 + 1/12)

= 4 + 2 1/12

= 6 1/12

Answer: 36

Step-by-step explanation:

golly gee this is hard... um take the one put it in the box..? maybe 7?

Answer:

-1/2

Step-by-step explanation:

Answer:

This

Step-by-step explanation:

Slope (m) =  

ΔY

ΔX

=  

2

-1

= -2

θ =  

arctan( ΔY ) + 180°

ΔX

= 116.56505117708°

ΔX = -3 – 0 = -3

ΔY = 0 – -6 = 6

Distance (d) = √ΔX2 + ΔY2 = √45 = 6.7082039324994

Equation of the line:

y = -2x – 6

When x=0, y = -6

When y=0, x = -3

Answer:

(1,0) (5,0)

Step-by-step explanation:

roots of a parabola are the x intercepts

9514 1404 393

Answer:

  ≈ 0.0007106955794750354

Step-by-step explanation:

(xz)/(xy) = z/y = 6469922591720 / 9103648282854233

  ≈ 0.0007106955794750354 . . . . rounded to 16 significant figures

__

The result will be a repeating decimal fraction with a very long repeat. It may be longer than 70 billion digits.

The absolute function is having its turning point at the coordinate ( 2,3).

It is required to find the turning point of the graph  .

Absolute value describes the distance from zero that a number is on the number line, without considering direction. The absolute value of a number is never negative.

Given:

The absolute function is

f(x) = |x-2| +3.

We have to find the turning point of the graph of f(x)=|x−2|+3.

According to given question we have,

When we plot the graph of the absolute function f(x) = |x-2| +3 it will give two straight lines the first line is on the left side and the second line is on the right side. The graph of the function changes its position at the coordinate ( 2,3).

Therefore, the absolute function is having its turning point at the coordinate ( 2,3).

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Answer:5y

Step-by-step explanation:

67

Hey how you have a good day !! XD

The missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.

We want to prove that m∠BOC = 90°.

We are given that m∠AOB is a right angle triangle. Thus;

m∠BOC must also be equal to 90°

Now, since m∠BOC and m∠AOB are right angles, then it means that we must equally say that m∠DOA and m∠BOC are vertical opposite angles and they are as such equal.

Thus, the missing piece of information in the proof is that m∠DOA and m∠BOC are vertical opposite angles.

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Answer:

87.5%

Step-by-step explanation:

28/32=0.875

0.875*100= 87.5

87.5% of 32 = 28

Answer A pack of batteries that come in a 48 count are $24.98 what is the unit price of just one battery is  $0.50

Answer:

maths

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

1/2 x 4 = 2 + 4 = 6

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

1/2x + 4 = 6

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 6 does indeed equal 6.

∴ x = 4 is the solution to the equation.

Answer: For this one, I'll use y=mx+b because that equation make the most sense in this scenario.

A) X is the number of hours, and 15, or b is the tip

B) y= 30x + 15.

Have a great day!

Stay safe and healthy!

Happy holiday seasons!

May I please have brainliest?

Answer:

4 2/7

Hope this helps and have a nice day!!

Answer:

this is answer .i solved it .i think it is correct

Answer:

9

Step-by-step explanation:

The value of y at x =15 is 9.

Two variables are said to be in Direct Variation when increasing one variable the other also increases.

The direct variation is represented by

y ∝ x

y = kx

where k is the proportionality constant

the value of y =12 , x = 20

12 = k * 20

12/20 = k

k = 0.6

The equation becomes

y = 0.6 x

The value of y at x = 15 is

y = 0.6 * 15

y =9

Therefore, the value of y at x =15 is 9.

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Answer:

Answer is -43

Step-by-step explanation:

1/5(40-p)= -3/5

40-p = (-3/5)/(1/5)

40-p = -3

-p = - 43

p = 43

Answer:

  A. decreasing 12% per month

  B. fuel A recorded the greater change

Step-by-step explanation:

Given an equation and a table of values, you want to compare the rates of change each represents.

The fuel price is described by ...

  f(x) = 2.27(0.88^x)

We recognize this exponential equation to be of the form ...

  f(x) = (initial value) × (growth factor)^x

Comparing parts of the equation, we see ...

  growth factor = 0.88

The relation between growth factor and growth rate is ...

  growth factor = 1 + growth rate

  growth rate = growth factor - 1 = 0.88 -1 = -0.12 = -12%

This tells us the rate of change in fuel price is -12% per month.

To find the percentage change, we can use the formula ...

  percent change = ((new value) / (old value) -1) × 100%

Applied to the first two table values, we have ...

  percent change = (3.30/3.44 -1) × 100% ≈ -4.07%

This decrease of 4.07% is less than the decrease of 12% represented by the equation. Type A fuel recorded the greater percentage change.

Answer:

x=1/30y + -5/6

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Using two points on the line, (0, -3) and (3, 0),

[tex] Slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (0, -3) = (x_1, y_1) [/tex]

[tex] (3, 0) = (x_2, y_2) [/tex]

Plug in the values

[tex] Slope (m) = \frac{0 -(-3)}{3 - 0} = \frac{3}{3} = 1 [/tex]

Slope = 1

Answer:

31 : 6, 31 craft sticks to 6 balsa wood

Step-by-step explanation:

Make 1240 and 240 into a fraction

[tex] \frac{1240}{240} [/tex]

Divide 1240 and 240 by 10

1240 ÷ 10

= 124

240 ÷ 10

= 24

[tex] \frac{124}{24} [/tex]

Divide 124 and 24 by 4

124 ÷ 4

= 31

24 ÷ 4

= 6

[tex] \frac{31}{6} [/tex]

This can be written as 31 : 6, 31 craft sticks to 6 balsa wood in addition to the fraction.

Have a lovely rest of your day! :)

The average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4] is 111.

According to the given question.

We have a function g(x) = 7x^2 + 8x^3.

And a interval [-3, 4].

As we know that, the average rate of change of y over an interval between 2 points (a, f(a)) and (b, f(b)) is the slope of the secant line connecting the 2 points.

To calculate the average rate of change between the 2 points we use the formula

f(b) - f(a)/ b - a

Therefore, the average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4] is given by

[7(4)^2 + 8(4)^3  - 7(-3)^(2) - 8(-3)^3]/4 + 3

= [112 + 512 - 63 + 216]/7

= 777/7

= 111

Hence,  the average rate of change of g ( x ) = 7 x 2 + 8 x 3 on the interval [-3, 4] is 111.

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Answer:

3/5 = 12/20

Step-by-step explanation:

5 x 4 = 20 so mulyiply 3 x 4 to get 12

Answer:

[tex]1-25[/tex]

Step-by-step explanation:

[tex]As\ we\ know\ that,\\The\ Sum\ of\ two\ sides\ of\ a\ triangle\ is\ always\ greater\ than\ the\ third\ side.\\Hence\ here,\\(10+14)>(x-2)\\24>x-2\\24+2>x-2+2\\26>x\\Or, x<26\\Hence,\\As\ x\ practically\ cannot\ be\ neither\ be\ negative, null nor\ 26,\ the range\ is\ from\ 1-25.\\[/tex]

Answer:

its 985 ft :]

Step-by-step explanation:

Answer:

it is 985 ft

Step-by-step explanation:

I used a calculator

Answer:

2?

Step-by-step explanation:

maybe 2 is in between 1 and 3

Answer:

y = -0.25x + 4.5

Step-by-step explanation:

hope this helps :D pls mark brainliest :D