John and Linda wants to simulate how many children they would have if they continued having kids until they have a boy. They will use the table of random digits below and they have assigned the numbers 0-4 to be a girl and 5-9 to be a boy. Fill in the blanks for the number of children John and Linda will have for each trial.


Trial 1:

Trial 2:

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

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:

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:

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:

$588 was left

Step-by-step explanation:

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 :)

Answer:

The choice 66

Step-by-step explanation:

[tex]6x + 2m \\ 6(14) + 2( - 9) \\ 84 - 18 \\ = 66[/tex]

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: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:

1 hour

Step-by-step explanation:

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

Answer:

334 is the answer

Step-by-step explanation:

you add them together

Answer:

334 is the right answer

Step-by-step explanation:

please mark me brainliest

Answer:

6.633

Step-by-step explanation:

on a triangle with angle measures of 30, 60, 90, the shortest side will be 'x', second longest will be 'x times square root of 3' and hypotenuse will be '2x'.

in this problem, x is the hypotenuse and x= square root of 11. sorry my explanation sucks. basically, 2× square root 11 = 6.633. again. sorry i made no sense.

Answer: -29.9x+37.6

Step by step answer: Use PEMDAS rule

−3(2.1x−6.72)+0.8 −5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96

Use the distrubitive property

-6.3x+20.16+0.8 −5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96

-6.3x+20.96−5.5x+20.16 −6.3x−5.92 −5.5x−19.36 −6.3x+20.96

Reorder/group x's and whole numbers

-6.3x-5.5x-6.3x-5.5x-6.3x+20.96+20.16-5.92-19.36+20.96

-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-5.92-19.36+20.96

-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-5.92+1.6

-6.3x-5.5x-6.3x-5.5x-6.3x+41.12-3.52

-11.8x-6.3x-5.5x-6.3x+41.12-3.52

-18.1-5.5x-6.3x+41.12-3.52

-23.6x-6.3x+41.12-3.52

-29.9x+41.12-3.52

-29.9x+37.6

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]

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

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer: 3000 square feet

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

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! :)

Answer:

Option 2: y = a(x + 1)² - 9

Step-by-step explanation:

Given the graph of an upward-facing parabola, whose vertex occurs at point (-1, -9) as its minimum point.  

Using the vertex form of the quadratic equation, y = a(x - h)² + k:

where:

a = determines the wideness and the direction of where the graph opens.

(h, k) = vertex

h = determines the horizontal translation of the graph

k = determines the vertical translation of the graph

Using the vertex, (-1, -9), and another point from the graph, (2, 0), substitute these values into the vertex form to solve for the value of a:

0 = a[2 - (-1)]² - 9

0 = a(2 + 1)² - 9

0 = a(9) - 9

Add 9 to both sides to isolate a:

0 + 9 = 9a - 9 + 9

9 = 9a

Divide both sides by 9 to isolate a:

[tex]\displaystyle\mathsf{\frac{9}{9}\:=\:\frac{9a}{9}}[/tex]

a = 1

Therefore, the vertex form of the given parabola is: y = a(x + 1)² - 9.

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:

using the pithagerum therom

a² + b² = c²

this formula is to find the side of your triangle with 2 sides already known

the answer is A) 17.7

Step-by-step explanation:

I am sorry but please give detailed question

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:

y = -10/3x -23

Step-by-step explanation:

Here's two options! You can either use slope-intercept formula or point-slope formula for the first steps.

We are trying to find m.

Slope-intercept formula:

m = y2-y1/x2-x1

Now let's identify our points, (-9,7) and (-6,-3).

= -3-7/-6+9

= -10/3

Point-slope formula:

y-y1 = m(x-x1)

Now let's identify our points, (-9,7) and (-6,-3).

-3 - 7 = m(-6 + 9)

-10 = 3m

-10/3 = m

Now, we have to use slope-intercept formula to find our b.

y = mx+b

y = -10/3x + b

Let's substitute one of the points, any given points work!

7 = -10/3(-9) + b

7 = 30 + b

-23 = b

Let's put it back in.

y = -10/3x -23

Answer:

Step-by-step explanation:

Equilateral Triangle

Regular Hexagon

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

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:

Step-by-step explanation:

Answer:

1/2 approximately 1/2......

Answer: C. (1/2)

Step-by-step explanation: You can see they split the box into 2 halves and one half is shaded so 1/2 is shaded you can also solve by 2/2 - 1/2 = 1/2

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:

nope

Step-by-step explanation:

it's not because let's say for example we have two students who weigh 130 pounds on of them could just be very wide but the other one could be really tall which results in his weight.

Although in some cases if both people are athletes and you say that they are not wide then it could give you a not exact estimate of how tall he is.