Do not round the answer

Answer:

$4.35

Step-by-step explanation:

The expected value of a random variable X, often denoted as E(X), indicates the probability-weighted average of all possible values/events. The general formula of expected value is

[tex]\mathrm{E(\textit X \mathrm)} = \displaystyle\sum_{\mathclap{i=1}}^{k} \ X \times P(X) \\ \\ \\ = X_{1} \times P(X_{1}) \ + \ X_{2} \times P(X_{2}) \ + \ X_{3} \times P(X_{3}) + \ \cdots \ + X_{k} \times P(X_{k})[/tex].

Therefore, the expected value of the winnings from a game is

[tex]\mathrm{E(\textit X \mathrm)} \ = \ 1 \times 0.35 \ + \ 2 \times 0.2 \ + \ 5 \times 0.1 + \ 8 \times 0.2 \ + 10 \times 0.15 \\ \\ = \ 4.35 \ \ (\mathrm{nearest \ hundredth})[/tex].

Answer:

Equivalent ratios (which are, in effect, equivalent fractions) are two ratios that express the same relationship between numbers. We can create equivalent ratios by multiplying or dividing both the numerator and denominator of a given ratio by the same number. Two ratios that have the same value are called equivalent ratios. To find an equivalent ratio, multiply or divide both quantities by the same number. It is the same process as finding equivalent fractions.

Answer:10/6 cups of sugar is the answer to this equation being the correct answer.

Step-by-step explanation:

What is the "theoretical yield" of cookies from each of the "reactants?"

Answer: y = 4x + 11

Step-by-step explanation:

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

y = mx + b

Rewrite in slope-intercept form.

Simplify the right side.

Simplify 4(x + 2).

y - 3 = 4x + 8

Move all terms not containing y to the right side of the equation.

Add 3 to both sides of the equation.

y = 4x + 8 + 3

Add 8 and 3.

y = 4x + 11

Your Welcome! :)

well, a WHOLE is 1, which we can split in many fractions, say 5/5, 10/10 or 999/999 and so on.

we know 1/5 of the jar is chocolate chip, and there's the rest, well, the Whole jar in 5ths have to be 5/5, if we take away 1/5 from 5/5, the "rest" is 5/5 - 1/5 = 4/5.

now, we also know that 1/2 of the "rest" is peanut butter, or namely that 1/2 of 4/5 is peanut butter, how much will that be?  let's divide 4/5 by 2

[tex]\cfrac{4}{5}\div 2\implies \cfrac{4}{5}\div \cfrac{2}{1}\implies \cfrac{4}{5}\cdot \cfrac{1}{2}\implies \cfrac{4}{10}\implies \cfrac{2}{5}[/tex]

Answer:

1 hour

Step-by-step explanation:

if he started at 12 pm, then in 1 hour he would finnish

Answer:

x=7 and y=2

Step-by-step explanation:

In this case, you want to use elimination

1. multiply the second equation by -1

       5x + 3y = 41

       2x + 3y = 20

turns into

       5x + 3y = 41

       -2x + 3y = 20

2. combine the equations

       3x=21

3. solve for x

3x=21

3x/3=21/3

x=7

4. Now you want to plug x back into the original equation

5x+3y=41

turns into

5(7)+3y=41

5. Then solve for y

35+3y=41

35+3y-35=41-35

3y=6

3y/3=6/3

y=2

6. results

x=7 and y=2

Writing and solving an inequality to model the situation, it is found that Deondra could buy 14 sets of glasses for the restaurant to have enough glasses.

Hence, the total of glasses after s sets are bought is given by:

[tex]T(s) = 344 + 20s[/tex]

The restaurant needs at least 624 glasses, hence:

[tex]T(s) \geq 624[/tex]

[tex]344 + 20s \geq 624[/tex]

Solving the inequality:

[tex]344 + 20s \geq 624[/tex]

[tex]20s \geq 280[/tex]

[tex]s \geq \frac{280}{20}[/tex]

[tex]s \geq 14[/tex]

Deondra could buy 14 sets of glasses for the restaurant to have enough glasses.

A similar problem, in which an inequality is used to model a situation, is given at https://brainly.com/question/25235995

Answer:

60

Step-by-step explanation:

5 plus 4 is nine.

I based everything on how much times more it was at first, and did that times 9 for every name.

I added up how much more boxes they got in total and got 60.

Answer:

  g(x) = 4x² -x +64

Step-by-step explanation:

The integral of f(x) will be continuous. This means the value must be the same for x = 4- as for x = 4+.

For some constant c1, the integral in the region x ≤ 4 is ...

  ∫f(x)dx = (4x² -x +c1) +C = g(x) +C

The integral in the region x ≥ 4 is given as ...

  ∫f(x)dx = 31x +C

Evaluated at x=4, we must get the same value from either expression:

  4(4²) -4 +c1 +C = 31(4) +C

  60 +c1 = 124

  c1 = 64

__

In order to make the integral continuous at x=4, we must have ...

  g(x) = 4x² -x +64

Answer:

LCD= x²- 81

Step-by-step explanation:

x²-81 is difference of two squares

a²-b²= (a+b)(a-b)

x²- 81= (x+9)(x-9)

denominators, (x-9) and (x+9)(x-9)

x-9 is common in both denominators

x-9|(x-9)|(x+9)(x-9)

x+9| 1 | x+9

| 1 | 1

therefore the LCD= (x-9)(x+9)

simplifying= x²- 81

Answer:

3625.7

Step-by-step explanation:

hope that will help goodbye

Answer:

Step-by-step explanation:

Answer:

f-1(x) = 1/3x would be the answer

Step-by-step explanation:

Answer:

y= 1/3x

Step-by-step explanation:

inverse function perform the opposite.

3/1 becomes 1/3

Answer:

2.55km

Step-by-step explanation:

[tex]d=st[/tex]

where:

   d=distance

   s=speed

   t=time

[tex]s=\frac{3.4 \ \text{km}}{\text{hr}}\\[/tex]

[tex]t=0.75 \text{hr}[/tex]

[tex]d=st=(\frac{3.4 \text{km}}{\text{hr}})(0.75 \text{hr}})=2.55 \text{km}\\[/tex]

Answer:

[tex]3\frac{2}{5}[/tex] × [tex]\frac{3}{4}[/tex] [tex]= 2\frac{11}{20}[/tex] km

         = 2.55 km

Answer:

229.6 square units

Step-by-step explanation:

19.9×16.8=334.32

19.9-4-4=11.9

16.8-4-4= 8.8

11.9×8.8= 104.72

334.32-104.72= 229.6 sq units

Answer:

86 m, 59 cm

Step-by-step explanation:

a. perimeter is 2L + 2W

320 = 2L + 2(74)

320 = 2L + 148

172 = 2L

86 m is length

b. area = L x w

5723 = 97 x w

5723/97 = 2

59 cm is width

Answer:

scale factor is: 1:4

the value of x is: x=4

Step-by-step explanation:

to find the answer, you do

x= √5² - 3² = √25 - 9 = √16 = 4

Answer: 6 divided by 5 is 1.2

Step-by-step explanation: I used Siri lol

Answer:

1.2 in decimal form. equivalent form-12/10. i really dont know what your asking. so i hope this is what you wanted.

Step-by-step explanation:

Answer: 3000 square feet

Step-by-step explanation: 21x10=210 .     300x10=3000

Answer:

Step-by-step explanation:

100 %/ 20 % = 5 servings

100 %/ 30 % = 3⅓ servings

He must consume 5 servings to get 100% of Vitamin A

In those servings he will consume 150% of Vitamin C

Answer:

x=3

Step-by-step explanation:

x+3(-3)=-6

x-9=-6

  +9 +9

x=3

Answer:

x=3 y=-3

Step-by-step explanation:

solve for x then substitute x in the original problem then solve for y

Step-by-step explanation:

How many ways are there to select 3 candidates from 8 equally qualified recent graduates for

openings in an accounting firm?

Answer:

Step-by-step explanation:

Equilateral Triangle

Regular Hexagon

Step-by-step explanation:

This is in the form of

[tex]h(x) = y[/tex]

in this case, x is 1 and y is 7. So ourbpoint would be (1,7.)

Answer:

x= -5/2 or -5.2

Step-by-step explanation:

you know the equation: y=mx+b, so we can substitute the -3 for x, the 7 for y and the -4 for m:

7=-4(-3)+b

now solve:

7=12+b

subtract 12 on both sides:

b=-5

now what you want to do is substitute it in and solve for x:

y=-4x-5

so:

5=-4x-5,

solve:

10=-4x

x=-5/2!!!!!!!!!!!!!!

hope this helped :)

Step-by-step explanation:

I am sorry but please give detailed question

Therefore, we found that x = -5/2.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

1675

Step-by-step explanation:

do people not have calculators?

Step-by-step explanation:

[tex] = \frac{( {6}^{9} + {6}^{8} )}{( {6}^{8} \times {6}^{ - 9} )} [/tex]

[tex] = \frac{ {6}^{8} ( {6} + 1)}{( {6}^{8} \times {6}^{ - 9} )} [/tex]

[tex] = \frac{( {6}^{8} \times 7)}{( {6}^{8} \times {6}^{ - 9} )} [/tex]

[tex] = \frac{( {6}^{8} \times 7)}{( {6}^{8 + ( -9)} )} [/tex]

[tex] = \frac{( {6}^{8} \times 7)}{( {6}^{ - 1} )} [/tex]

[tex] = {6}^{8} \times 7 \times 6[/tex]

[tex] = {6}^{9} \times 7[/tex]

In exponential form:

[tex] = {6}^{9} \times {7}^{1} (ans)[/tex]

In numerical form:

70,543,872 (Ans)

[tex] \huge \: \bf \: Question:—[/tex]

[tex] \sf \longmapsto6^9+6^8)/(6^8 \times 6^{-9})[/tex]

[tex]\huge\bf Solution:—[/tex]

[tex]\sf \longmapsto \: \dfrac{ {6}^{9} + {6}^{8} }{ {6}^{8} \times {6}^{ - 9} } [/tex]

[tex]\sf \longmapsto \dfrac{10077696 + {6}^{8} } { {6}^{8} \times {6}^{ - 9} } [/tex]

[tex]\sf \longmapsto \dfrac{10077696+1679616}{ {6}^{8} \times {6}^{ - 9} } [/tex]

[tex]\sf \longmapsto \: \dfrac{11757312}{{6}^{8} \times {6}^{ - 9}} [/tex]

[tex]\sf \longmapsto \dfrac{11757312}{1679616(6 {}^{ - 9} )} [/tex]

[tex] \boxed{\bf \: As \: a^{-n} = 1/a(n) \: ,}[/tex]

[tex]\sf \longmapsto \dfrac{11757312}{1679616 \bigg(\dfrac{1}{10077696} \bigg )} [/tex]

[tex]\sf \longmapsto \dfrac{11757312}{ \dfrac{1}{6} } [/tex]

[tex]\sf \longmapsto \: \: 70543872[/tex]

[tex] \boxed{\bf \: \: \: Convert\: 70543872 \: to\: scientific \: notation}[/tex]

[tex] \sf \longmapsto \: 7.0543872 × 10 {}^{7} [/tex]

[tex]\boxed{ \bf \: \: Convert\: 70543872 \: to\: exponent}[/tex]

[tex]\sf\longmapsto {6}^{9} \times 7 [/tex]

_________________________________

[tex] \boxed{\bf \: Answer\: in\: Number}:—[/tex]

[tex] \boxed{\bf \: 70543872}[/tex]

[tex]\boxed{ \bf \: Answer\: in\: Exponent:—}[/tex]

[tex] \boxed{\bf \: {6}^{9} \times 7}[/tex]

[tex]\boxed{\bf Answer\: in\: Scientific\: Notation:—}[/tex]

[tex]\boxed{ \bf \: 7.0543872 × 10 {}^{7} }[/tex]