A diner has collected data about customer coffee-drinking habits. They have calculated that P(cream) = 0. 5, P(sugar) = 0. 6, and P(cream or sugar) = 0. 7. Determine the P(cream and sugar). 0. 4 0. 5 0. 6 0. 7.

Answers

Answer 1

Probability of an event is the measure of its chance of occurrence. The value of the probability P(cream and sugar) is given by: Option A: 0.4

What is the addition rule of probability for two events?

For two events A and B, we have:

Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.

This can be written symbolically as:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

For the considered case, the probabilities are:

P(cream) = 0. 5P(sugar) = 0. 6P(cream or sugar) = 0. 7

Thus, we get;

P(cream or sugar) = P(cream) + P(sugar) - P(cream and sugar)

0.7 = 0.5 + 0.6 - P(cream and sugar)

P(cream and sugar) = 1.1 -0.7 = 0.4

Thus, the value of the probability P(cream and sugar) is given by: Option A: 0.4

Learn more about probability here:

brainly.com/question/1210781


Related Questions

A farmhouse shelters 20 animals. Some are pigs and some are ducks. Altogether there are
46 legs. How many of each animal are there?

Answers

Answer:

7 pigs and 9 ducks.

Their are many other answers to this question this is one of the ones that are correct.


What are the terms in the expression 7x + 4y + 1?

Answers

Answer:

7x, 4y

Step-by-step explanation:

terms are numbers with variables in expressions. usually able to count because + and - split them

The sum of the digits of a two-digit number is 7. If the digits are reverses, the new number is 9 more than the original number. Find the original number. ​

Answers

25

Step-by-step explanation

Let the ones's digit =x.

So, sum of the digits =7

Tens's digit =7−x

Original no. =10(7−x)+x=70−10x+x=70−9x

Reversed no. =10x+7−x=9x+7

2(orig no) = reversed no. −2

2(70−9x)=9x+7−2

140−18x=9x+5

27x=135

x=5

Ten's digit =7−5=2

No. =25

please answer quickly ​

Answers

Answer:

106

Step-by-step explanation:

The given is a pentagon and the sum of interior angles is = 540

so to find the value of x:

132 + 90 + x + x + x = 540 add like terms

222 + 3x = 540 subtract 222 from both sides

3x = 318 divide both sides by 3

x = 106

Please help! I will give brainliest.

Answers

Step-by-step explanation:

= a_(n-1) x 1.5

1.5a_(n-1)

Find the quadratic equation given that the roots are 3 and 9

Answers

Answer:

[tex]\bold\purple{Quadratic \: \: eq {}^{n} = x {}^{2} - ( \alpha + \beta )x + \alpha \beta} \\ [/tex]

Sum of roots ,

[tex]( \alpha + \beta ) = (3 + 9) = 12[/tex]

Product of roots ,

[tex]( \alpha \beta ) = (3)(9) = 27[/tex]

Substituting the values in the above equation ,

[tex]\bold{x {}^{2} - ( \alpha + \beta )x + \alpha \beta} \\\\ \bold{⇢ x {}^{2} - (12)x + 27} \\\\ \bold\blue{ ⇢x {}^{2} - 12x + 27}[/tex]

hope helpful~

Select the correct answer. The perimeter of a triangle is 30 units. If it’s is dilated with respect to origin by a scale factor of 0.5, what is the perimeter of the resulting triangle?

Answers

Answer: 15

Step-by-step explanation:

We know that the scale factor of the dilation is the ratio of similtude, and that the ratio of similitude is equal to the ratio of the perimeters. So, the new perimeter is 30(0.5)=15.

A surveyor asked 250 residents of a town with a population of 15,000 on whether they fish in any of the town's lakes. 95 people answered "yes" to the question. How many people would be expected to answer "yes" given the entire population was surveyed?

ANSWER WITH EXPLAINATION // PROOF PLSS​

Answers

Answer:

5,700 people would be expected to say yes.

Step-by-step explanation:

15,000 divided by 250 gives you 60. You use 60 and multiply it by 95 since out of every 250 people 95 people said yes.

A building engineer analyzes a concrete column with a circular cross section. The circumference of the column is 18pi meters.
What is the area A of the cross section of the column?
Give your answer in terms of pi.
A = m spuared

Answers

Answer:

81π m²

Step-by-step explanation:

Circumference formula: C = 2πr

Compare with given value and determine the radius:

2πr = 18πr = 18π/2πr = 9 m

Find the area of the cross-section.

Area formula: A = πr²

Area: A = 9²*π = 81π m²

Find radius

C/2π18π/2π9m

So.area

πr²9²π81πm²


Suppose that F(x)=x^2and g(x) = 4/5x^2
Which statement best compares the
graph of G(x) with the graph of F(x)?

Answers

Answer:

A

Step-by-step explanation:

A

Mr.Maar received 18 packages contained 5 crayons for his classroom. Each package 5 crayons. Write an equation that show the total amount of crayons (t) Mr. Maar has.

Answers

The equation for this thing is 18x5. Because there are 18 packages each with 5 crayons. So there are 5 crayons per package. Since there are 18 packages the equation will be 18 times 5 to solve the total number of crayons Mr.Maar has.

only 15 left just tell me when you cant help no more

Answers

The lines are neither

a couch at the wholesale price is $125. If the markup rate at the furniture store is %40,what is the price of the new couch

Answers

Answer: $175

Step-by-step explanation:

1. Original Price = $125, Markup is 40% = .4

2. 125 * .4 = 50

3. 125 + 50 = 175

Javier got a new job recently and wonders how many outfit
combinations he can wear to work. The table below shows all of
his items of clothing.
Pants
Shirts
Socks
Ties
Black
White
Black
Blue
Grey
Blue
Brown
Red
Yellow
Grey
Black
Grey

How many different outfits can Javier create for work?
O 72
O 12
O 4
O 16
Please y’all got to answer this please?

Answers

Answer:

4 maybe??...

Step-by-step explanation:

I really dunno P-P

Help plss it's due today??...!

Answers

Answer:

The answer is 80°

Step-by-step explanation:

Given;We are given a hexagon with 6 anglesTo Find;The value of x

Here, we know that the sum of all interior angles of hexagon is equal to 720°

So,

x + x + 140 + 140 + 140 + 140 = 720

2x + 560 = 720

2x + 560 – 560 = 720 – 560

2x = 160

2x/2 = 160/2

x = 80°

Thus, The value of x is 80°

For Verification

x + x + 140 + 140 + 140 + 140 = 720

80 + 80 + 140 + 140 + 140 + 140 = 720

720 = 720

L.H.S = R.H.S

Hence Verified!

-TheUnknownScientist 72

4 Anderson earned $36,800 in taxable income last year. According to his tax
table, he should pay $922.50 plus 15% of the amount over $9,225. How much
income tax will Anderson owe?

Answers

Answer:

$1556.25

Step-by-step explanation:

A circle is drawn on the coordinate plane. It
has a center at (2, 1) and passes through the
point (2, 5). What is the approximate
circumference of the circle?

Answers

Step-by-step explanation:

please mark me as brainlist please

Answer:

Using Pythagorean theorem we can find the radius which is the distance between the center and any point along the circle:

r=((5-1)^2+(2-2)^2)^(1/2)

r=(4^2-0^2)^(1/2)

r=4 units.

Circumference=2pr so our circumference is 8p units^2

so about 25.13 u^2

Fully describe the association that would exist between variables with the given correlation coefficient. (a) r=0.6578 (b) r= 0.1648 (c) r = -0.9875​

Answers

Answer:

Step-by-step explanation:

Correlation is a statistical technique that is used to measure and describe a relationship between two variables. Usually the two variables are simply observed, not manipulated. The correlation requires two scores from the same individuals. These scores are normally identified as X and Y.

Multiply (polynomials)

I WILL GIVE BRAINLIEST, NEED IT TODAY

Answers

Answer:

1. 12x² - 7x - 10

2. 10x² + 31x - 14

3. 3x² - xy - 9x + 4y - 12

4. 16y^4 - 1

5. 24x² - 21x - 3

6. -2m² - 2m + 12

7. 15d² - 31d - 12

8. 12x³ + 5x² - 2x

9. 6t² - 20t - 26

10. 48a² - 12b²

Step-by-step explanation:

1.

[tex](3x)(4x)+(3x)(-5)+(2)(4x)+(2)(-5)[/tex] [tex]12x^2-15x+8x-10[/tex] [tex]12x^2-7x-10[/tex]

2.

[tex](5x)(2x)+(-2)(2x)+(5x)(7)+(-2)(7)[/tex] [tex]10x^2-4x+35x-14[/tex] [tex]10x^2+31x-14[/tex]

3.

[tex](x)(3x) + (x)(-y) + (x)(3) + (-4)(3x) + (-4)(-y) + (-4)(3)[/tex] [tex]3x^2-xy+3x-12x+4y-12[/tex] [tex]3x^2-xy-9x+4y-12[/tex]

4.

[tex]((2y-1)(2y+1))(4y^2)+((2y-1)(2y+1))(1)[/tex] [tex]16y^4-4y^2 + 4y^2 -1[/tex] [tex]16y^4 - 1[/tex]

5.

[tex](3x)(8x)+(3x)(1)+(-3)(8x)+(-3)(1)[/tex] [tex]24x^2+3x-24x-3[/tex] [tex]24x^3-21x-3[/tex]

6.

[tex](-m)(2m)+(-m)(-4)+(-3)(2m)+(-3)(-4)[/tex] [tex]-2m^2+4m-6m+12[/tex][tex]-2m^2-2m+12[/tex]  

7.

[tex](5d)(3d)+(5d)(1)+(-12)(3d)+(-12)(1)[/tex] [tex]15d^2 + 5d - 36d -12[/tex] [tex]15d^2-31d -12[/tex]

8.

[tex](3x^2)(4x)+(3x^2)(-1)+(2x)(4x)+(2x)(-1)[/tex] [tex]12x^3-3x^2+8x^2-2x[/tex] [tex]12x^3+5x^2-2x[/tex]

9.

[tex](3t)(2t)+(3t)(2)+(-13)(2t)+(-13)(2)[/tex] [tex]6t^2 + 6t - 26t -26[/tex] [tex]6t^2-20t-26[/tex]

10.

[tex](4a)(12a)+(4a)(6b)+(-2b)(12a)+(-2b)(6b)[/tex] [tex]48a^2+24ab-24ab-12b^2[/tex][tex]48a^2-12b^2[/tex]

Have a lovely rest of your day/night, and good luck w/ your assignments! (‾◡◝)

Factor completely 16x2 − 25. (4x − 5)(4x − 5) (4x 5)(4x − 5) (16x 5)(x − 5) (16x − 5)(x 5)

Answers

16x^2 - 25 = (4x)^2-5^2. Using the formula
(a+b)(a-b) = a^2-b^2, we can create an equivalent expression, where 4x is a and 5 is b:
(4x+5)(4x-5)
Hope this helps

Determine a series of transformations that would map Figure E onto F.

Answers

Answer:

a reflection across y = -x

Step-by-step explanation:

When reflecting across y = -x,

(x,y) becomes (-y , -x )

basically switch the x and y, then change to the opposite sign

Can someone help me with this please?

Answers

Answer: See below

Step-by-step explanation:

[tex]\begin{bmatrix}y=x^2-20x+73\\ y=-3x+3\end{bmatrix}[/tex]

[tex]\mathrm{Subtract\:the\:equations:}[/tex]

[tex]y=x^2-20x+73[/tex]

[tex]-[/tex]

[tex]\underline{y=-3x+3}[/tex]

[tex]y-y=x^2-20x+73-\left(-3x+3\right)[/tex]

[tex]\mathrm{Simplify:}[/tex]

[tex]0=x^2-17x+70[/tex]

[tex]x^2-17x+70=0[/tex]

[tex]\mathrm{Solve\:with\:the\:quadratic\:formula}[/tex] [tex]\mathrm{for\:}\ a=1,\:b=-17,\:c=70:[/tex]

[tex]x_{1,\:2}=\frac{-\left(-17\right)\pm \sqrt{\left(-17\right)^2-4\cdot \:1\cdot \:70}}{2\cdot \:1}[/tex]

[tex]x_{1,\:2}=\frac{-\left(-17\right)\pm \:3}{2\cdot \:1}[/tex]

[tex]\mathrm{Separate\:the\:solutions:}[/tex]

[tex]x_1=\frac{-\left(-17\right)+3}{2\cdot \:1},\:x_2=\frac{-\left(-17\right)-3}{2\cdot \:1}[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=10,\:x=7[/tex]

[tex]\mathrm{Plug\:the\:solutions\:}x=10,\:x=7\mathrm{\:into\:}y=x^2-20x+73:[/tex]

[tex]\mathrm{For\:}y=x^2-20x+73\mathrm{,\:subsitute\:}x\mathrm{\:with\:}10[/tex]

[tex]y=10^2-20\cdot \:10+73[/tex]

[tex]y=10^2-200+73[/tex]

[tex]y=100-127[/tex]

[tex]y=-27[/tex]

[tex]\mathrm{For\:}y=x^2-20x+73\mathrm{,\:subsitute\:}x\mathrm{\:with\:}7[/tex]

[tex]y=7^2-20\cdot \:7+73[/tex]

[tex]y=7^2-140+73[/tex]

[tex]y=49-67[/tex]

[tex]y=-18[/tex]

[tex]\mathrm{Therefore,\:the\:final\:solutions\:for\:}y=x^2-20x+73,\:y=-3x+3\mathrm{\:are\:}:[/tex]

[tex]\begin{pmatrix}x=10,\:&y=-27\\ x=7,\:&y=-18\end{pmatrix}[/tex]

Answer:

bbbbb

Step-by-step explanation:

4 students is ____% of 20 students

Answers

Answer:

20%

Step-by-step explanation:

20 * 20% = 4

or you can change it to a decimal

20 * .2 = 4

hope this helped! :)

MARKING BRAILIEST!!!! Select the statement that describes this expression: 13 + fraction 1 over 2 x (6 ÷ 2 + 6)



a: 13 more than half of 6 more than the quotient of 6 and 2


b:13 more than half of the quotient of 6 and 6 minus 2


c:Half of 13 multiplied by the quotient of 6 and 2 plus 3


d:13 plus half of 6 divided by 2, then subtract 6

Answers

Answer: D

You get the same answer from doing both!

Answer:

a

Step-by-step explanation:

Find a common denominator and then subtract and simplify your answer.
11/12-3/4
a: 1/7
b: 1/5
c: 1/6

Answers

Answer: c. 1/6

Step-by-step explanation:

The least common demoninator would be 12, as 12 is a multiple of 4.

We can multiply the fraction 3/4 by (3/3)

3/4 = 3/4*(3/3)

= (3*3)/3*4)

= 9/12

We can plug in the value of 9/12 in as 3/4 back into the expression:

= 11/12 - 9/12

We can combine the numerators since there is a common denominator:

= (11-9)/12

= 2/12

Divide the numerator and denominator of this fraction by 2:

= 1/6

The answer is C, the common denominator is 12 and then you multiply the 3 and 4 which simplifies the equation to 11/12 - 9/12, which is 2/12 and you can divide that by 2, getting 1/6.

Given a polynomial function f(x) = 2x2 – 3x + 5 and an exponential function g(x) = 2% – 5, what key features do f(x) and g(x) have in common?

A. Both f(x) and g(x) have the same domain of (0, -60).
B. Both f(x) and g(x) have the same range of [0,-).
C. Both f(x) and g(x) have the same x-intercept of (2,0).
D. Both f(x) and g(x) increase over the interval of (-4,-).

Answers

A. Both [tex]f(x)[/tex] and [tex]g(x)[/tex] have the same domain of [tex](9, +\infty)[/tex].

How to analyze similarities in two functions

In this question we must analyze the domain, range, x-intercepts and increase intervals:

Domain

[tex]Dom \{f(x)\} = \mathbb{R}[/tex]

[tex]Dom \{g(x)\} = \mathbb{R}[/tex]

Both functions are continuous.

Range

[tex]Ran \left\{f(x)\right\} = (3.875, +\infty)[/tex]

[tex]Ran \{g(x)\} = (-5, +\infty)[/tex]

x-Intercepts

[tex]f(x):[/tex] [tex](x,y) = \emptyset[/tex]

[tex]g(x):[/tex] [tex](x,y) = (2.322, 0)[/tex]

Increase intervals

[tex]f(x):[/tex] According to the graph, [tex]f(x)[/tex] increase over the interval of [tex](3.875, + \infty)[/tex].

[tex]g(x) :[/tex] According to the graph, [tex]g(x)[/tex] increase over the interval of [tex]\mathbb{R}[/tex]

After a quick analysis, we conclude that option A offer the best approximation to characteristics of both functions. [tex]\blacksquare[/tex]

Remark

The statement presents mistakes and is poorly formatted. Correct form is:

Given a polynomial function [tex]f(x) = 2\cdot x^{2}-3\cdot x + 5[/tex] and an exponential function [tex]g(x) = 2^{x}-5[/tex]. What key features do [tex]f(x)[/tex] and [tex]g(x)[/tex] have in common?

A. Both [tex]f(x)[/tex] and [tex]g(x)[/tex] have the same domain of [tex](9, +\infty)[/tex].

B. Both [tex]f(x)[/tex] and [tex]g(x)[/tex] have the same range of [tex](-\infty, 0][/tex].

C. Both [tex]f(x)[/tex] and [tex]g(x)[/tex] have the same x-intercept of [tex](2,0)[/tex].

D. Both [tex]f(x)[/tex] and [tex]g(x)[/tex] increase over the interval of [tex](-4, +\infty)[/tex].

To learn more on functions, we kindly invite to check this verified question: https://brainly.com/question/5245372

Why do some of the questions I type. Don't pop up any answers?

Answers

Answer:

how am i supposed to know

Step-by-step explanation:

Not sure, maybe try putting a picture?

Yes I suck in math HELP PLEASE

Fill in the blank to describe this expression:
8n

eight______ a number

A. multiplied by
B. added to
C. divided by
D. less than w​

Answers

Answer:

A. multiplied by

Step-by-step explanation:

For example, sub n = 2

8(2) = 16

Hello.

The correct word is "multiplied by"

Eight multiplied by a number n equals 8n.

Remember that

[tex]\bigstar[/tex] We always write the number next to the variable.

[tex]\bigstar[/tex] We write the number and the variable together.

Can we write 8×n? Sure! However, we usually write it as

8n

Therefore, the correct answer is "[tex]\mathrm{multiplied\:by}[/tex]"

I hope it helps.

Have a great day.

[tex]\boxed{imperturbability}[/tex]

i do not know this answer. it has to be rotation 270° clockwise around the origin.

Answers

Probablemente is 270 is something

Which is not a way to find 9/16

Answers

Answer:

a way to not find the answer is to do anything but divide 9 by 16

Step-by-step explanation:

hope this helps, brainliest appreciated :)

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