Determine the required value of the missing probability to make the distribution a discrete probability distribution
P(4)=____
X P(x)
3 0.25
4 ?
5 0.39
6 0.15

Answers

Answer 1
Answer:  0.21

======================================================

Explanation:

All of the values in the P(x) column must add to 1.

The value 1 in probability means 100%

Let y be the missing value in the table

0.25+y+0.39+0.15 = 1

y+0.79 = 1

y = 1-0.79

y = 0.21

The probability that x = 4 is 0.21

In other words, P(4) = 0.21

Or that we have a 21% chance of having x = 4 happen.


Related Questions

Choose all of the symbols that make the following sentence true.


4 ^0 ___ 5 ^-1


=

<







>

Answers

Answer:

≠ and >

Step-by-step explanation:

_________________

10) -2(n - 6) = 20
please help!

Answers

Answer:

n = 1

Step-by-step explanation:

Answer:

n = -4

Step-by-step explanation:

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

−2(n − 6) = 20

Step 1: Simplify both sides of the equation.

−2(n − 6) = 20

(−2)(n) + (−2)(−6) = 20(Distribute)

−2n + 12 = 20

Step 2: Subtract 12 from both sides.

−2n + 12 − 12 = 20 − 12

−2n = 8

Step 3: Divide both sides by -2.

[tex]\frac{-2n}{-2} = \frac{8}{-2}[/tex]

n = -4

Hope this helps, please mark brainliest if possible. Have a great day.

Which of the following is an example of quantitative data?
A person's Zip Code

The color of your car

A Person's Height

A person's city of residence

Answers

Answer:

a person's height

Step-by-step explanation:

thing that you can count

Answer:

a person's height helpful answer

Jake wants to surprise his parents with a small anniversary party at their favorite restaurant.

It will cost $35.75 per person for dinner, including tip and tax.

His budget for the party is $600.

What is the maximum number of people Jake can have at the party without exceeding his budget?

Answers

Answer:

16 people

Step-by-step explanation:

35.75 times 16 is 572, times 17 is 607.75, he only has 600 and he cant have a fraction of a person, so he can have 16 people

35.75x=600
x/35.75=600/35.75
x=16.78

He can invite 16 people without exceeding his budget.

Find the slope in each line

Answers

can you put the YX just because it’s too blurry.

How to solve the inequality 8x + 10 ≤ 60

Answers

Answer:

x ≤ 6.25

Step-by-step explanation:

8x + 10  ≤  60

Subtract 10 from both sides

8x ≤ 50

Divide both side by 8

x ≤ 6.25

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Ethan is 1.6 metres tall, Uzma is 154 cm tall.
Work out how much taller Ethan is than Uzma.

Answers

Answer:

1.6 metres is 160 centimetres

Ethan is 6 centimetres taller than Uzma

Triangle D E F is shown. Angle E F D is a right angle. The length of E F is 24 and the length of D F is 7.
Which trigonometric ratios are correct for triangle DEF? Select three options.


sin(D) = StartFraction 24 Over 25 EndFraction
cos(E) = StartFraction 7 Over 25 EndFraction
tan(D) = StartFraction 24 Over 7 EndFraction
sin(E) = StartFraction 7 Over 25 EndFraction
tan(D) = StartFraction 7 Over 24 EndFraction

Answers

Answer:

Sin(E) = 7/25

Sin(D) = 24/25

Tan(D)= 24/7

Step-by-step explanation:

Sin=opp/hyp

Tan=opp/adj

Cos=adj/hyp

The trigonometric ratios that are correct for triangle DEF are sin(E) = 7/25, sin(D) = 24/25 and tan(D)= 24/7

How to determine the trigonometric ratios?

The given parameters are:

EF = 24

DF = 7

Start by calculating the length DE using:

DE²= EF² + DF²

So, we have:

DE²= 24² + 7²

Take the square root of both sides

DE= 25

The sine of the angles is calculated using:

sin(Ф) = opp/hyp

So, we have:

sin(E) = 7/25

sin(D) = 24/25

The tangent of the angles is calculated using:

tan(Ф) = opp/adj

So, we have:

tan(D)= 24/7

Hence, the trigonometric ratios that are correct for triangle DEF are sin(E) = 7/25, sin(D) = 24/25 and tan(D)= 24/7

Read more about trigonometric ratios at:

https://brainly.com/question/11967894

the product of 2 numbers, p and q, decreased by 3 times their sum. (as an algebraic expression)

Answers

Answer:

3 - (p*q) im not sure lol

Step-by-step explanation:

write an equation of the line below ​

Answers

I think the equation is y= -x - 4

Explanation:

The two given coordinates are (0,-4) and (4,-7).

Use those to find the slope which is -1

Then use the slope intercept form and substitute the answers where they belong.

y - y1 = m(x - x1)

y - (-4) = -1 (x - 0)

y = -x - 4

Meg makes a dot plot for the data 9, 9, 4, 5, 5, 3,
4,5, 3, 8, 8, 5. Where does a gap occur?

Answers

The gap consists of the values 6 and 7.

Check out the dot plot below to see what I mean. We have one cluster on the left from 3 to 5. Then another cluster on the right from 8 to 9.

Answer:

The gap is present around 6 & 7

Step-by-step explanation:

Since there is no evidence of dots above 6 & 7, there must have been a freeze in data around then, called a gap.


Two and three fifths plus one and three fifths

Answers

Answer:

2 3 + 1 3 = 3/5 + 3/5 = 1 1/5 + 2+1 = 3 + 1 !/5 = 4 1/5

5 5

Step-by-step explanation: The Slashes mean The number bellow

Please make this answer Brainlist...

Find C.
Round to the nearest tenth.
20 ft)
22 ft
B
18 ft
А

Answers

50.5 degrees

Use the cosine rule for angles

cos C = (20^2 + 22^2 - 18^2)/(2 x 20 x 22) = 0.6363...
C = 50.5 degrees

A recipe calls for 24 ounces of oil and 8 ounces of vinegar. Kim is making dressing with 12 ounces
of vinegar using the same ratio of oil to vinegar

How much oil should kin use?Complete the Table

Answers

Answer:

36 ounces.

Step-by-step explanation:

The ratio being 24:8 can be simplified to 3:1

Multiply the one (the vinegar) by a factor of 12

What happens to one side has to happen to the other

12(3:1)

36 ounces.

Answer:36

Step-by-step explanation:

Which is the graph of an even monomial function?

Answers

Answer:

The graph of an even function is symmetric about the y-axis. The graph of an odd function is symmetric about the x-axis. It is possible that the use of these two words originated with the observation that the graph of a polynomial function in which all variables are to an even power is symmetric about the y -axis.

Two functions are shown in the table below f(x) equals -X squared plus 4X +12 And G(x)
equals X +2

Answers

Answer:

[tex]x = -2; x = 5[/tex]

Step-by-step explanation:

Given

[tex]f(x) = -x^2 + 4x + 12[/tex]

[tex]g(x) = x +2[/tex]

Required

For what value of x is: [tex]f(x) = g(x)[/tex]

[tex]f(x) = g(x)[/tex] implies that

[tex]-x^2 + 4x + 12 = x + 2[/tex]

Collect like terms

[tex]-x^2 + 4x -x + 12 -2 = 0[/tex]

[tex]-x^2 + 3x + 10 = 0[/tex]

Expand

[tex]-x^2 + 5x-2x + 10 = 0[/tex]

Factorize

[tex]-x(x - 5)-2(x - 5) = 0[/tex]

Factor out x - 5

[tex](-x - 2)(x - 5) = 0[/tex]

Solve for x

[tex]-x - 2 = 0; x - 5 = 0[/tex]

So:

[tex]x = -2; x = 5[/tex]

lim x->1+( sin(1-x)-(e^(x-1))+1)/ lnx

Answers

We're given the one-sided limit,

[tex]\displaystyle\lim_{x\to1^+}\frac{\sin(1-x)-e^{x-1}+1}{\ln(x)}[/tex]

Evaluating the limand directly at x = 1 gives the indeterminate from

(sin(1 - 1) - exp(1 - 1) + 1) / ln(1) = 0/0

so we can potentially solve the limit by applying L'Hopital's rule. Doing so gives

[tex]\displaystyle\lim_{x\to1^+}\frac{\sin(1-x)-e^{x-1}+1}{\ln(x)}=\lim_{x\to1^+}\frac{-\cos(1-x)-e^{x-1}}{\frac1x}=\frac{-\cos(0)-e^0}{\frac11}=\boxed{-2}[/tex]

Tamara uses a coupon to save 20% off her purchase at the bookstore. The original cost of Tamara's purchase is d dollars.
Which expressions represent the cost, in dollars, of Tamara's purchase after using the coupon? Choose all that apply.

Answers

Answer:

The equation would be d - (d×0.2)

4/8 =?/2 please answer​

Answers

Answer:

? = 1

Step-by-step explanation:

4/8 = ?/2

Change the ? into a variable so it's easier to calculate:

Variable x = ?

4/8 = x/2

Cross multiply:

4 × 2 = 8 × x

8 = 8x

Divide both sides by 8 to isolate the variable:

1 = x

Check your work:

4/8 = 1/2

4 × 2 = 8 × 1

8 = 8

Correct!

1/2 Numerator and denominator are both divided by 4

What is the result of subtracting the second equation from the first

Answers

I didn’t undertand the question... mayb ur attachment isnt added! Plz check!

How to solve this?!?!? (5x+24)(9x+12) + (3x+9)(8x+6)(2x+7)

Answers

Answer and Step-by-step explanation:

First, multiply the parentheses, then add everything together.

-- (5x + 24)(9x +  12)

-- 45[tex]x^2\\[/tex] + 60x + 216x + 288 (Simplify)

-- 45[tex]x^2\\[/tex] + 276x + 288

--- (3x + 9)(8x + 6)

--- 24[tex]x^2\\[/tex] + 18x + 72x + 54 (Simplify)

--- 24[tex]x^2\\[/tex] + 90x + 54

---- (2x + 7)(24[tex]x^2\\[/tex] + 90x + 54)

---- 48[tex]x^{3}[/tex] + 180[tex]x^2\\[/tex] + 108x + 168[tex]x^2\\[/tex] + 630x + 378 (Simplify)

---- 48[tex]x^{3}[/tex] + 348[tex]x^2\\[/tex] + 738x + 378

----- 45[tex]x^2\\[/tex] + 276x + 288 + 48[tex]x^{3}[/tex] + 348[tex]x^2\\[/tex] + 738x + 378

----- 48[tex]x^{3}[/tex] + 393[tex]x^2\\[/tex] + 1014x + 666

48[tex]x^{3}[/tex] + 393[tex]x^2\\[/tex] + 1014x + 666 is the final answer.

#teamtrees #PAW (Plant And Water)

Answer:

[tex] \rm \displaystyle {48x}^{3} + 393 {x}^{2} +1014x + 660[/tex]

Step-by-step explanation:

we would like to simplify the following:

[tex] \rm \displaystyle (5x + 24)(9x + 12) + (3x + 9)(8x + 6)(2x + 7)[/tex]

there're two parts the multiplication the whole part to solve the multiplication part we can consider FOIL and for the whole, PEMDAS which can be represented as

[tex] \rm\displaystyle \rm \displaystyle \underbrace{\underbrace{(5x + 24)(9x + 12) } _{ \text{FOIL - 1}}+ \underbrace{ (3x + 9)(8x + 6)(2x + 7)} _{ \text{FOIL - 2}}} _{ \text{PEMDAS}}[/tex]

let's figure out FOIL-1 part

By FOIL we obtain:

[tex] \displaystyle {45x}^{2} + 60x + 216x + 288[/tex]

simplify addition:

[tex] \displaystyle {45x}^{2} + 276x+ 288[/tex]

let's figure out FOIL-2:

By FOIL and PEMDAS we acquire:

[tex] \rm \displaystyle {48x}^{3 } + {348x}^{2} + 738x + 378[/tex]

finally the whole part

[tex] \rm \displaystyle {45x}^{2} + 60x + 216x + 288+ {48x}^{3 } + {348x}^{2} + 738x + 378[/tex]

combine like terms:

[tex] \rm \displaystyle {48x}^{3} + 393 {x}^{2} +1014x + 660[/tex]

and we are done!

What is the value of X

A. x=20

B. x=15

C. x=10

D. x=5

Answers

The answer is A) x=20.

This is because (x+5) + (7x-5) + x = 180

Out of 350 applicants for a job, 158 are female and 66 are female and have a graduate degree. Step 2 of 2 : If 110 of the applicants have graduate degrees, what is the probability that a randomly chosen applicant is female, given that the applicant has a graduate degree

Answers

Answer:

33/55

Step-by-step explanation:

Total applicants, n(T) = 350

Female applicants, n(F) = 158

Female and Graduate applicants, n(FnG) = 66

Graduates, n(G) = 110

Probability of female Given that applicant has graduate degree; this is a conditional probability problem;

Recall :

P(A given B) = P(A|B) = P(AnB) / P(B)

Therefore ;

P(F|G) = P(FnG) / P(G) = 66 / 110 = 33/55

pls help for both 12 and 13!!

Answers

Answer:

The answer to 12 is 40 cubic units

Step-by-step explanation:

Which expression is equivalent to:1/m6

Answers

Answer:

A

Step-by-step explanation:

6 is a power. So both C and D are wrong because 6 is being treated as an ordinary integer.

So the answer must be either A or B.

B is not correct because to move an expression from the denominator to the numerator changes the sign in the base (which is m in this  question).

A is correct. the power is changed from 6 in the denominator to -6 in the numerator. m is shifted to the numerator as well.

in a system of equations why is the intersection the solution

Answers

9514 1404 393

Answer:

  It satisfies both equations.

Step-by-step explanation:

The points on the graph of an equation are the values of the variables that satisfy the equation (make it true).

In a system of equations, you're generally looking for values of the variables that satisfy all of the equations in the system. That is, the solution will be a point on the graph of every equation in the system.

For a point to be on more than one graph, it must lie at a point of intersection of the graphs. If all of the graphs of a system go through the point of intersection, that point satisfies all of the equations, so is a solution of the system of equations.

using data from 2010 and projected to 2020, the population of the United Kingdom (y, in millions) can be approximated by the equation 10.0y-4.55x=581. where x is the number of years after 2000 what is projected population in 2026?

Answers

Answer:

The projected population in 2026 is of 699.3 million.

Step-by-step explanation:

Population:

The population, in x years after 2000, is given by the follwing equation:

[tex]y - 4.55x = 581[/tex]

That is:

[tex]y(x) = 4.55x + 581[/tex]

What is projected population in 2026?

2026 - 2000 = 26, so this is y(26).

[tex]y(26) = 4.55(26) + 581 = 699.3[/tex]

The projected population in 2026 is of 699.3 million.

76. In the diagram below, lines land mare
parallel. Both are intersected by
transversal t.
What is the value of x?

Answers

4x = 2x + 30 Alternate angles in parallel lines are equal
2x = 30
x = 15

Which of these random samples represents a representative sample of the number of students who enjoy science class?
A. 30 students in the lunchroom.
B. 30 students who failed science class last year.
C. 30 students who received high grades in their science class last semester.
D. 30 students who participated in the science fair.

Answers

Answer: A. 30 students in the lunchroom.

Step-by-step explanation:

A representative sample simply refers to the sample that has same characteristics just like the population.

A random-based selection is regarded as a representative of the population. In this case, the random sample that represents a representative sample of the number of students who enjoy science class is "30 students in the lunchroom".

When the students in the lunchroom are chosen, then it's a representation of the entire students in the school. This is the best option when compared to other options as they don't represent the students entirely.

Answer:

30 students in the lunchroom

Step-by-step explanation:

Got it right on the test.

QUESTION 14 · 1 POINT
Translate the English phrase into an algebraic expression: 6x less than 81xsquared

Answers

Answer:

Step-by-step explanation:

81x² - 6x

Answer:

81x² - 6x

Step-by-step explanation:

81x² - 6x

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