Find the indicated probability.
If P(A or B) = 0.8, P(A) = 0.4, and P(A and B)= 0.15, find P(B).
P(B)=
(Simplify your answer. Type an integer or a decimal.)

Answers

Answer 1

Answer:

[tex]P(B) = 0.55[/tex]

Step-by-step explanation:

Given

[tex]P(A\ or\ B) = 0.8[/tex]

[tex]P(A) = 0.4[/tex]

[tex]P(A\ and\ B) = 0.15[/tex]

Required

Find P(B)

In probability, we have:

[tex]P(A\ or\ B) = P(A) + P(B) - P(A\ sd B)[/tex]

Substitute values

[tex]0.8 = 0.4 + P(B) - 0.15[/tex]

Collect Like Terms

[tex]P(B) = 0.8 - 0.4 + 0.15[/tex]

[tex]P(B) = 0.55[/tex]


Related Questions

pls pls pls pls help ​

Answers

Answer:

im guessing it says they give $5 to the father

if that is the case then the answer is c

Step-by-step explanation:

1. Assume that men’s weights are normally distributed with a mean given by  = 172lb and a standard deviation given by  =29lb. Using the Central Limit Theorem to solve the following exercises(1) If 36 men are randomly selected, find the probability that they have a mean weight greater than 160lb.(2) If 81 men randomly selected, find the probability that they have a mean weight between 170lb and 175lb.

Answers

Answer:

1) 0.99348

2) 0.55668

Step-by-step explanation:

Assume that men’s weights are normally distributed with a mean given by  = 172lb and a standard deviation given by  =29lb. Using the Central Limit Theorem to solve the following exercises

When given a random number of samples, we use the z score formula:

z-score is z = (x-μ)/σ/√n where

x is the raw score

μ is the population mean

σ is the population standard deviation.

(1) If 36 men are randomly selected, find the probability that they have a mean weight greater than 160lb.

For x > 160 lb

z = 160 - 172/29/√36

z = 160 - 172/29/6

z = -2.48276

Probability value from Z-Table:

P(x<160) = 0.0065185

P(x>160) = 1 - P(x<160) = 0.99348

(2) If 81 men randomly selected, find the probability that they have a mean weight between 170lb and 175lb.

For x = 170 lb

z = 170 - 172/29/√81

z = 170 - 172/29/9

z = -0.62069

Probability value from Z-Table:

P(x = 170) = 0.2674

For x = 175 lb

z = 175 - 172/29/√36

z = 175- 172/29/6

z = 0.93103

Probability value from Z-Table:

P(x = 175) = 0.82408

The probability that they have a mean weight between 170lb and 175lb is calculated as:

P(x = 175) - P(x = 170)

0.82408 - 0.2674

= 0.55668

order the numbers from least to greatest​

Answers

Answer:

What numbers?

Step-by-step explanation:

Answer:

if you comment them Ill out them in least to greatest :)

Step-by-step explanation:

they are 1, 2, 3, 4, 5 if those are the numbers :)

Hello I will give BRAINLIEST to whoever answers:)

Answers

The person above is correct

Answer: 4.5

Reason: the girl was 1 meter in the water, but she didn’t go back up, she instead dived deeper 3.5 meters.

Mathematical way of putti by this is

1 + 3.5 = 4.5

Hope this helps

if anybody can answer this quickly; please do!

Answers

Answer:

The answer is D

Step-by-step explanation:

I would give an explanation but it would take to long. The original answer is 21, there is no other equation that equals 21.

You wonder if one's age is independent of whether or not one's willingness to wear masks in public. You ask 100 people whether they are wearing masks in public or not and whether they are under 20 years old, between 20 and 39, between 40 and 59, or 60 or above. Using your data, you calculate a test statistic of 16.5. Using a critical value of 7.82, what is your statistical conclusion?
a) Your results are significant; one's willingness to wear masks is not independent of one's age. b)Your results are significant; one's willingness to wear masks is independent of one's age.
c)Your results are not significant; one's willingness to wear masks is independent of one's age.
d) Your results are not significant; one's willingness to wear masks is not independent of one's age.​

Answers

Answer:

The statistical conclusion is:

a) Your results are significant; one's willingness to wear masks is not independent of one's age.

Step-by-step explanation:

From this experiment,

The null hypothesis is established as:

H 0 = one's willingness to wear masks is independent of one's age.

The alternate hypothesis is established as:

H 1 = one's willingness to wear masks is not independent of one's age.

In statistics, if the absolute value of the test statistic is greater than the critical value, we declare statistical significance and reject the null hypothesis.

Since the test statistic = 16.5, which is higher than the critical value of 7.82, this establishes statistical significance.  Thus, the null hypothesis is rejected.

Therefore, the statistical conclusion is that one's willingness to wear masks is not independent of one's age.

The sum of 7 ⅓ and a number, n is 10 ⅜. What is the number?

Answers

Answer:

3 1/24

Step-by-step explanation:

to find the answer subtract ( 10 3/8 - 7 1/3 = 3 1/24 ).

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[tex]7 \frac{1}{3} + n = 10 \frac{3}{8} \\ [/tex]

[tex] \frac{21 + 1}{3} + n = \frac{80 + 3}{8} \\ [/tex]

[tex] \frac{22}{3} + n = \frac{83}{8} \\ [/tex]

Subtract sides 22 / 3

[tex] - \frac{22}{3} + \frac{22}{3} + n = - \frac{22}{3} + \frac{83}{8} \\ [/tex]

[tex]n = \frac{83}{8} - \frac{22}{3} \\ [/tex]

[tex]n = \frac{83 \times 3}{8 \times 3} - \frac{22 \times 8}{3 \times 8} \\ [/tex]

[tex]n = \frac{249}{24} - \frac{176}{24} \\ [/tex]

[tex]n = \frac{249 - 176}{24} \\ [/tex]

[tex]n = \frac{73}{24} \\ [/tex]

[tex]n = \frac{72 + 1}{24} \\ [/tex]

[tex]n = 3 \frac{1}{24} \\ [/tex]

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5, if r = 3?
what is the answer

Answers

Answer:

8

Step-by-step explanation:

Answer:

2 is answer

Step-by-step explanation:

5-3=2 you just subract

Write the equation in slope-intercept form that represents the line shown.

Answers

i think the answer is y=-1/5x-4 but i’m not sure......

1. What is 4 to the power of 2 ?
2. What is 2 to the power of 4 ?
3. What is 8 to the power of 2 ?
4. What is 2 to the power of 8 ?​

Answers

1. 16
2. 16
3. 64
4. 256

4²= 16

Work - 4 x 4 = 16

2⁴= 16

Work - 2 x 2 x 2 x 2 = 16

8²= 64

Work - 8 x 8 = 64

2⁸= 256

Work - 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2= 256

25 points question is below

Answers

Answer:

x - 5y = 30

Step-by-step explanation:

If you subtract x from both equations, you'll get -x. If you divide -5y, you'll end up with 1/5x and 6. The intercept doesn't matter but the slopes are parallel which means they'll never intersect anyway

good answer also makes a lot of sense you are correct

2. 11d = 121
What is the algebraic equations

Answers

The answer that i got is d=1

Suzy is ten years older than Belly, and the next year she will be twice as old as Billy. How old are they now? Show solution.

Answers

Answer:

I understand there is a typo, so Belly and Billy are the same person. His age is represented as B, and Suzy's as S.

S = 19

B = 9

Step-by-step explanation:

Suzy is ten years older than Belly:

(1)  S = B + 10

the next year she will be twice as old as Billy

(2)  S + 1 = 2 (B + 1)

solving the system of equation (1) and (2):

Making (2) - (1):  

1 = 2 (B + 1) - B - 10 => 1 = 2 B + 2 - B - 10  => 1 = B - 8 => B = 9

replacing in (1) S = 19

Find the quotient in their exponential form.
a) (8/27)power 5 ÷ (2/3)power 7
The first person who do this numerical i will give him 25 stars and rank the brainliest plz guys tell fast its urgent for me​

Answers

Answer:

0.609663161

Step-by-step explanation:

(8/27)power5 = 5.57533755

(2/3)power7= 9.14494717

then, u just devide... from what i know

Answer:

It is 0.609663161

Step-by-step explanation:

Hope this helped have an amazing day!

f(x) = 4x4-3x3–2x2-5 possible zeros

Answers

Answer:

f(x)= 1 correct me if wrong :)

Step-by-step explanation:

4 times 4 is 18

3 times 3 is 9

18-9=8

2 times 2 is 4

8-4=4

4-5=1

Which point on the number line could represent-25? А вс D 54 -3 -2 -1 0 1 2 3 4 5 А OB ОС OD. I will mark 1 answer brainlist ​

Answers

Answer:

B

Step-by-step explanation:

The number, -2¼, if it is to be represented on a directed line, would be about -2¼ places below point zero.

Therefore, the point that would represent -2¼ on a number line is B, as shown in the diagram.

Solve the system using substitution.
y - 3x = 1
2y - x = 12
([?], [])

Answers

Answer:

(2, 5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y - 3x = 1

2y - x = 12

Step 2: Rewrite Systems

y - 3x = 1

Add 3x on both sides:                    y = 3x + 1

Step 3: Redefine Systems

y = 3x + 1

2y - x = 12

Step 4: Solve for x

Substitution

Substitute in y:                    2(3x + 1) - x = 12Distribute 2:                         6x + 2 - x = 12Combine like terms:           5x + 2 = 12Isolate x term:                     5x = 10Isolate x:                              x = 2

Step 5: Solve for y

Define equation:                    2y - x = 12Substitute in x:                       2y - 2 = 12Isolate y term:                        2y = 10Isolate y:                                 y = 5

What is the partial fraction decomposition of 7x^2-6x+9/3x(4x^2+9)

Answers

Simplify the expression: x+7x2+3x+2=x+7(x+1)(x+2)

The form of the partial fraction decomposition is

x+7(x+1)(x+2)=Ax+1+Bx+2

Write the right-hand side as a single fraction:

x+7(x+1)(x+2)=(x+1)B+(x+2)A(x+1)(x+2)

The denominators are equal, so we require the equality of the numerators:

x+7=(x+1)B+(x+2)A

Expand the right-hand side:

x+7=xA+xB+2A+B

Collect up the like terms:

x+7=x(A+B)+2A+B

The coefficients near the like terms should be equal, so the following system is obtained:

{A+B=12A+B=7

Solving it (for steps, see system of equations calculator), we get that A=6, B=−5

Therefore,

x+7(x+1)(x+2)=6x+1+−5x+2

Answer: x + 7x\textasciicircum{2} + 3 x + 2=6x+1+−5x+2

Which expression uses the associative property to make it easier to evaluate
(16- })?
OA. (16 )2
OB. ( 16)
Oc. 16(3)
OD. ( 16)

Answers

Answer:

Option B: (½•16)⅓

Step-by-step explanation:

The associative property states that we can add or multiply numbers in a group regardless of how those numbers are grouped. And that we will get the same answer.

For example;

x(y•z) = (x•y)z = (x•z)y

Now in our question, we want o evaluate; ½(16•⅓)

Using the associative property, the best expression will be: (½•16)⅓

It's the best expression because the terms in the bracket are easy to multiply out without remainder.

Thus, option B is correct

function or not a function​

Answers

Answer:

That isn't a function because the ratio of those numbers doesn't equal.

Step-by-step explanation:

If 1 yard = 3 feet and 1 mile = 5,280 feet, how many yards are there in 4 miles?

Answers

Answer:

7040 Yards

Step-by-step explanation:

First, you have to divide 5280 by 3, to get 1760 yards

Then you have to multiply 1760 by 4

Finally, you should get the answer of 7040 yards :D

Answer:

The other person who answered it already explained it but the answer is 7,040

Step-by-step explanation:

Since I’m kinda slow I need help on this please

Answers

Answer:

when x=5, y=20

when x=3, y=12

when x=4, y=16

I hope that helps you!! :)

.
- 7(6 + d) = 49
Need help

Answers

Answer:

d=-13

Step-by-step explanation:

Let's solve your equation step-by-step.

−7(6+d)=49

Step 1: Simplify both sides of the equation.

−7(6+d)=49

(−7)(6)+(−7)(d)=49(Distribute)

−42+−7d=49

−7d−42=49

Step 2: Add 42 to both sides.

−7d−42+42=49+42

−7d=91

Step 3: Divide both sides by -7.

−7d−7=91−7

d=−13

Hope this helps have an amazing day :))

What is an algebraic expression?

A. the operation between two number or letters

B. letters that represent numbers

C. a branch of mathematics

D. a combination of operations on letters and numbers

Answers

Answer:

d. a combination of operations on letters and numbers

Step-by-step explanation:

b is a variable and c can be all sort of things

Answer:

D. a combination of operations on letters and numbers.

Step-by-step explanation:

Please answer this as quick as you can

Answers

Answer:

Step-by-step explanation:

3 and 2 for what i see with the question  i don't know  if the blue is blocking a tick but i think its 2 and 3 tell me if there  a tick on where the blue started so then i might change my answer

peter and jane have $90 together if peter gave jane $16 he would have $14less than jane how much does peter originally have​

Answers

Answer:

peter = $54

jane = $36

Step-by-step explanation:

let peter = x

let jane = y

peter + jane = $90

x+y = 90 --------- (1)

peter gave jane $16 = x-16

jane gets extra $16 from peter = y+16

peter would have $14 less than jane

jane - peter = $14

(y+16)-(x-16) = 14

y+16-x+16 = 14

y-x+32 = 14

y-x = 14-32

y-x = -18 ---------- (2)

x+y = 90 --------- (1)

y-x = -18 --------- (2)

from (1)

x+y = 90

y = 90-x --------- (3)

substitute (3) into (2)

y-x = -18

90-x-x = -18

90-2x = -18

-2x = -18-90

-2x = -108

x = 54

substitute x = 54 into (3)

y = 90-x

y = 90-54

y = 36

x = peter = $54

y = jane = $36

which of these number lines represents the difference -3-2​

Answers

Answer:

Number line D

Step-by-step explanation:

That line goes from 0 to -3 and subtracts 2, as the equation shows.

Choose yes or no to tell wether the fraction and percent are equivalent

Answers

Answer:

1. No

2. Yes

3. No

4. Yes

Answer:

1. No 40/1000 = 4%

2. Yes

3. No 50/33 = 66%

4. Yes

Step-by-step explanation:

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

What is the measurement of Angle x. please explain​

Answers

the measurement of angle x is 40°. these two triangle are congruent so their sides share the same length and their angles share the same degrees
40 hope this helps !!!

I need help asap ill give BRAINLIEST

Answers

Answer:

Concept: Basic Mathematics

1.3 18-14

Answer:

1.3

18

-14.....................

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