Deena and Jackson tossed two coins at the same time. In five tosses, Deena got heads on both coins three times. In


50 tosses, Jackson got heads on both coins 12 times. What does this illustrate about theoretical and experimental


probability that both tossed coins will be heads?



A- Experimental probability is not affected by sample size



B- Experimental probability approaches theoretical probability when the sample size is large.



C- Smaller groups give more accurate results.



D- Larger groups have greater chance for error

[tex] {8}^{ - 1} = \frac{1}{8} [/tex]

8-¹ ❌

[tex] {9}^{ - 2} = \frac{1}{ {9}^{2} } = \frac{1}{81} [/tex]

9-² ✔️

[tex] \frac{ {9}^{8} }{ {9}^{4} } = {9}^{8 - 4} = {9}^{8} [/tex]

9^8/9^4 ❌

[tex] \frac{9 {}^{8} }{ {9}^{10} } = {9}^{8 - 10} = {9}^{ - 2} = \frac{1}{9 {}^{2} } = \frac{1}{81} [/tex]

9^8/9^10 ✔️

[tex] {9}^{ - 6} \times {9}^{3} = {9}^{ - 6 + 3} = {9}^{ - 3} = \frac{1}{9 {}^{3} } = \frac{1}{729} [/tex]

9^-6 . 9³ ❌

[tex] {9}^{5} . \: { 9}^{ - 7} = {9}^{5 - 7} = 9 {}^{ - 2} = \frac{1}{ {9}^{2} } = \frac{1}{81} [/tex]

9^5 . 9^-7 ✔️

The surface area of the composite figure shown is 356 square feet. So, option b) is correct.

Surface area is the total area covered by the surface of the figure.

Given, the composite figure can be converted into two figures as shown in the image attached below:

Total Surface area of the composite figure= Area of figure 1 +  Area of figure 2.

Area of figure 1= Area of I+ Area of G+ Area of H+ Area of F

Area of I= Area of G

= Area of triangle

[tex]=\dfrac{1}{2}b\times h[/tex]

=7 x 4/2

=14

Area of I= Area of G

=8 x 4/2

=16

Area of figure 1= 14+14+16+16

Area of figure 1=60 sq feet

Area of figure 2 = Area of A+Area of B+Area of C+Area of D+Area of E

Area of rectangle=l x b

Area of A=Area of B=Area of D

=7 X 8

=56

Area of C=Area of E

=8 X 8

=64

Area of figure 2 = 56+56+64+56+64

Area of figure 2 = 296 sq feet

Surface area of the composite figure=296+60

=356 square feet

Thus, surface area of the composite figure is 356 square feet. So, option b) is correct.

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Answer:

1/4

1

4

Step-by-step explanation:

The function is g(x) = 4^((1/2)*x)

For A, the value is -2.  Plug this into the equation.

g(-2) = 4^((1/2)*-2)

g(-2) = 4^(-1)

g(-2) = 1/4

For B, the value is 0.  Plug it into the equaiton.

g(0) = 4^((1/2)*0)

g(0) = 4^(0)

g(0) = 1

For C, the value is 2.  Plug it into the equation.

g(2) = 4^((1/2)*2)

g(2) = 4^1

g(2) = 4

A function is a relationship between inputs where each input is related to exactly one output.

The value of A is 1/4.

The value of B is 1.

The value of C is 4.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

f(x) = [tex]4^x[/tex]

g(x) = [tex]4^{\frac{1}{2}x[/tex]

For x = -2

A = [tex]4^{\frac{1}{2}\times-2[/tex]

A = 1/4

For x = 0

B = [tex]4^0[/tex]

B = 1

For x = 2

C = [tex]4^1[/tex]

C = 4

Thus,

The value of A is 1/4.

The value of B is 1.

The value of C is 4.

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Answer:

-13x + 7

Step-by-step explanation:

trust me

Answers and Step-by-step explanations:

(a) We want to find the slope-intercept equation (y = mx + b), where m is the slope and b is the y-intercept. We already have two points: (2, 6200) and (7, 21200). The slope is change in y over change in x so:

m = (21200 - 6200) / (7 - 2) = 3000

Now, we have y = 3000x + b. Plug in 6200 for y and 2 for x to solve for b:

y = 3000x + b

6200 = 3000 * 2 + b

b = 200

Nat's equation is y = 3000t + 200.

(b) We want a quadratic formula in vertex form because the problem says that Kat's account maxes out at 44100 on her 25th birthday, indicating that's the vertex. Our vertex point is (20, 44100); note that it's 20 and not 25 because she starts the account at age 5, not age 0. The generic vertex form of a quadratic is:

y = a(x - h)² + k, where (h, k) is the vertex

Plug in our vertex:

y = a(x - 20)² + 44100

We also have the point (9, 32000), so put that in to find a:

32000 = a(9 - 20)² + 44100

-12100 = a * 121

a = -100

So Kat's equation is y = -100(t - 20)² + 44100.

(c) In order to find the age when they have the same amount, we set the two equations equal:

3000t + 200 = -100(t - 20)² + 44100

-100(t² - 40t + 400) + 44100 = 3000t + 200

-100t² + 4000t - 40000 + 44100 - 3000t - 200 = 0

-100t² + 1000t + 3900 = 0

t² - 10t - 39 = 0

(t - 13)(t + 3) = 0

t = 13 or t = -3   --   obviously, years can't be negative, so t = 13.

Note, however, that t is the number of years after Kat and Nat are 5, so we need to add 13 to 5:

13 + 5 = 18

The age is 18.

A: [tex]N(t) = 3000t +200[/tex]

B: [tex]y = -100(x-20)^2+44100[/tex]

C: When they turn 18.

A. Write a linear function N(t) for the amount of money, N, that Nat has in her account ‘t’ years after her 5th birthday:

You can determine a linear equation using the two coordinates provided:

(2, 6200) and (5, 21200).

To do this, first find the slope of the graph. You can do this by using the expression

[tex]\frac{y2-y1}{x2-x1}[/tex], where the coordinate (2, 6200) is 1 and (7, 21200) is 2:

[tex]\frac{21200-6200}{12-7}\\\\\frac{15000}{5}[/tex]

The slope is equal to 3000. Now, you need to find the y-intercept. Plug in 2 for x and see what the y intercept would need to be to equal 6200:

6200 = 3000 * 2 + b

6200 = 6000 + b

b = 200

Thus, your equation for Nat's bank account is [tex]N(t) = 3000t + 200[/tex]

B: Kat’s account doesn’t follow a linear model, but rather a quadratic model. On her 5th birthday, her parents open the account and then add money annually just like with Nat. Kat’s parents plan is to add money so that her account maxes out at $44100 on her 25th birthday. At the age of 14, she has $32000. Write a quadratic function K(t) for the amount of money, K, in Kat’s account ‘t’ years after her 5th birthday:

The question supplies you with the vertex to the parabola, (20, 44100). This is the point at which the maximum value of the function is reached.

It also supplies you with a point on the parabola, (9, 32000).

You can use the vertex form of the quadratic equation to find the formula for Kat's bank account:

[tex]y=a(x-h)^2+k[/tex], where (h, k) is the vertex.

Substituting the vertex in for that equation, we get:

[tex]y=a(x-20)^2+44100[/tex]

Now, you can substitute the point (14, 32000) in for x and y to solve for a:

[tex]32000=a(9-20)^2+44100\\\\-12100 = 121a\\a = -100[/tex]

Thus, the equation is [tex]y = -100(x-20)^2+44100[/tex].

C. What age will both Nat and Kat have the same amount in their account? 18 years old.

To find what age each account will be equal, set the equations equal to each other:

[tex]-100(x-20)^2+44100 = 3000x +200[/tex]

Then, you can solve for x:

[tex]-100(x-13)(x+3)=0[/tex]

Solving for x, we notice that the accounts equal each other when Nat and Kat are -3 or 13. However, Nat's function is only specified to begin after she turns 5, so add 5 to 13 to get 18.

They will both have the same money in their accounts when they turn 18.

Answer:102

Step-by-step explanation:

180-36=144

x+42=144

x=102

The measure of x from the circle is x = 102

The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

where s is the length of the arc

r is the radius of the circle

Central Angle = 2 x Angle in other segment

Given data ,

Let the measure of the external angle ∠GDF = 36°

Now , Central Angle = 2 x Angle in other segment

And , the measure of ∠GAF = ( x + 42 )°

On simplifying , we get

( x + 42 )° = 180° - 36°

x + 42 = 144

Subtracting 42 on both sides , we get

x = 102

Hence , the measure of x of circle is 102

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Answer:

6 weeks

Step-by-step explanation:

You can use linear equations to find this out.

y is the total amount saves, x is the number of weeks.

Jade's equation: y = 5x + 0 (the 5 is how much she will save each week, the 0 is how much she has now, or the initial value.)

Enrique's equation: y = 3x + 12 (the 3 is how much he will save each week, the 12 is how much he has now, or the initial value.)

You can set up a table, or you could enter it in your calculator.

After entering the equations in my calculator, I found that the x value of 6 was when both equations had the same y value. So after 6 weeks, both of them had saved 30 dollars.

Answer: D arccsc(x) = arcsin(1/x)

Step-by-step explanation:

The correct equation is arccsc(x) = arcsin(1/x), as it represents the inverse relationship between the cosecant and sine functions, indicating that arccsc(x) finds the angle whose sine is the reciprocal of x.

The correct equation related to arcsecant is arccsc(x) = arcsin(1/x). The arcsecant function, arccsc(x), is the inverse of the cosecant function, csc(x), which is the reciprocal of the sine function, sin(x). Therefore, arccsc(x) is used to find the angle whose cosecant is x. Since csc(x) = 1/sin(x), taking the inverse of both sides, we get arccsc(1/sin(x)) = x. By further manipulation, we can say that arccsc(x) = arcsin(1/x) because we are essentially finding the angle whose sine is the reciprocal of x.

The equation arccsc(x) = 1/sin(x) suggests a relationship between arccsc and the sine function directly, but this would imply that arccsc(x) gives us the value of 1/sin(x), which is not the case. The correct interpretation is that arccsc finds the angle whose cosecant (which is 1/sin(x)) is x, hence the equation arccsc(x) = arcsin(1/x).

Answer: d = 13 inches.

Step-by-step explanation: The total surface area  = 674 in²

Given the value of rectangular prism are 9 and 10 in respectively.

Area of rectangular prism = 2(lw+ wh+ lh)

2(d10 + 10×9+d9) = 2(19d+90) = 38d+180 = 674

38d = 674-180 = 494

d = 494/38 = 13in

∴ d = 13in

Answer:

I think Answer is  B

Step-by-step explanation:

Answer:

mean = 6.4

median = 6.5

range = 9

Step-by-step explanation:

hope this helps!!

Answer:

Step-by-step explanation:

Mean = Sum of scores/number of games

[tex]=\frac{4+10+7+9+2+11+4+9+2+6}{10}\\\\=\frac{64}{10}\\\\[/tex]

Mean = 6.4

4,10,7,9,2,11,4,9,2,6

Ascending order: 2,2,4,4,6,7,9,9,10,11

Median is the middle term. As number of terms is even number (10),

We have to find the mean of middle terms. ie median of 5th and 6th term

[tex]Median=\frac{6+7}{2}\\\\=\frac{13}{2}[/tex]

Median = 6.5

Range = Maximum score - minimum score

  = 11 - 2

Range = 9

hello,

[tex]Area =(2x + 4) \times ( 4x - 2) \\ Area =8 {x}^{2} - 4x + 16x - 8 \\ Area = {8x}^{2} + 12x - 8[/tex]

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

Answer:

[tex]\Longrightarrow: \boxed{\sf{8x^2+12x-8}}[/tex]

Step-by-step explanation:

Using the distributive property, you multiply by the area to find the area of the rectangle polynomial.

[tex]: \Longrightarrow \sf{(Area)= (2x+4)*(4x-2)}[/tex]

Solve.

Multiply by expand.

Use the distributive property.

Use the FOIL method.

FOIL method:

[tex]\Longrightarrow: \sf{\left(A+B\right)\left(C+D\right)=AC+AD+BC+BD}[/tex]

[tex]\Longrightarrow: \sf{2x\cdot \:4x+2x\left(-2\right)+4\cdot \:4x+4\left(-2\right)}[/tex]

[tex]\Longrightarrow: \boxed{\sf{=8x^2+12x-8}}[/tex]

I hope this helps! Let me know if you have any questions.

Answer:

C

Step-by-step explanation:

its a wild guess because you didn't add a picture or anything to show the  pyramid

Answer:

i think it's b

Step-by-step explanation:

Answer:

B. 16 1/2

Step-by-step explanation:

1/2x+3/4=9

multiply both sides by 4

4(1/2x+3/4)=9x4

2x+3=36

2x=36-3

2x=33

x=33/2

x=16 1/2

Answer:

2.1

Step-by-step explanation:

you start with 12x+34=9 so do inverse operations

12x+34=9

     -34 -34

12x=-25

12x/12=-25/12

x=-2.083333ect.

or 2.1

Answer:

you can do it

Step-by-step explanation:

Answer:

B on edge

Step-by-step explanation:

The factorization of 12164 - 49 is,

⇒ (110.3 - 7) (110.3 + 7)

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The number is,

⇒ 12164 - 49

Now, We can factor as;

⇒ 12164 - 49

⇒ 110.3² - 7²

⇒ (110.3 - 7) (110.3 + 7)

Thus, The factorization of 12164 - 49 is,

⇒ (110.3 - 7) (110.3 + 7)

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Answer:

C

Step-by-step explanation:

Answer:

make it polynomial eqution and than solve it for x

Step-by-step explanation:

hope this will help you

Answer:

10x² - 11x - 6

Step-by-step explanation:

(5x+2)(2x-3)

10x² + 4x - 15x - 6

10x² - 11x - 6

Answer:

6 3/4 or 6.75 mph

Step-by-step explanation:

Take the rate of miles per 3 hours, 20 1/4, and divide it by 3.

That equals 6.75 or 6 3/4 mph

Hope this helps!

Answer:

Step-by-step explanation:

Lets take the rate of miles per 3 hours So, we have 20 1/4 so now if we divide it by 3 That will equal 6.75 in decimal if you were asked to write it in fraction write it like this 6 3/4.

Decimal= 6.75                                                                                             Fraction= 6 3/4

Hope this helps you!!

To multiply numbers in scientific notation, multiply the coefficients and add the exponents. The final answer is 7.2 x 10^11.

To multiply numbers in scientific notation, you need to multiply the coefficients and add the exponents.

In this case, (9.104) multiplied by (8.106) gives you (9 * 8) multiplied by (104+6).
So the result is 72 multiplied by 1010, which can be written in scientific notation as 7.2 x 1011.

Answer:

Y= -3/5 - 1

Step-by-step explanation:

if you start on the y intercept an go down once (-1)

then go down three times (-3)

positive 5 so go right 5 times it lands on the point :)

im not a teacher and i took this last year so sorry if my explanation isn't the best

The equation for the given line in slope-intercept form is y = (-3/5)x - 1.

Option D is the correct answer.

We have,

The slope-intercept form of a linear equation,

y = mx + b

where m represents the slope of the line and b represents the y-intercept.

The slope (m) of the line using the two given points (0, -1) and (5, -4):

m = (y₂ - y₁) / (x₂ - x₁)

m = (-4 - (-1)) / (5 - 0)

m = (-4 + 1) / 5

m = -3 / 5

Substitute it into the slope-intercept form, along with one of the given points (0, -1), to find the value of b:

-1 = (-3/5)(0) + b

-1 = b

The y-intercept (b) is -1.

The equation of the line using the slope-intercept form:

y = (-3/5)x - 1

Thus,

The equation for the given line in slope-intercept form is y = (-3/5)x - 1.

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Answer:

A.6.96 B. .3629 C.8.7

Step-by-step explanation:

i used calculator plz brainliest

Answer:

A. 125.28

B. 1 apple = $3.26

C. 156.48

Step-by-step explanation:

A. $2.61 * 48 [(12 apples = 1 dozen) times 4 equals 4]= 125.68

B. 2.61/1 * 25/100= 65.25/100      (25% = 25/100)

65.25/100= 0.6525

0.6525= 0.65

$2.61 + $0.65 = $3.26/ apple

C. $3.26 * 48( see above on problem A)= $156.48

Answer: I think it is High overlapped

Step-by-step explanation: because when comparing it look like a small difference between them.

Answer:

ANSWER IS A ...........

Answer:

Step-by-step explanation:

3(y + z)

2y + 2z + y + z

Answer:

35%

Step-by-step explanation:

8+12+14+6=40

8+6=14

p( pizza or steak)=14/40=0.35

0.35*100=35%

The experimental probability is the occurrence probability of an event concerning all events. The experimental probability of pizza or steak is P(P or B) = 35%

The experimental probability is a probability assigned to an event. It is the number of times an event occurs concerning the number of times all events occur or the experiment is repeated.

It can be calculated by taking the relative frequency of the event when the experiment is repeated several times.

To calculate it, we can use the following formula,

P(E) = Number of trials performed in which a certain event occurred / Total number of trials in which all events occurred

In the exposed example,

steaks.

P(E) = Number of trials performed in which a certain event occurred / Total number of trials in which all events occurred

P(P or B) = (8 + 6) / (8 + 12 + 14 + 6) = 14 / 40 = 0.35 = 35%

The experimental probability of pizza or steak is P(P or B) = 35%

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Initial ratio W/Y=1

new ratio (w+30)/y=6/5, or substituting w for y you get 6w=5w+150 or w=150.

then y=150, so the shop ordered 300 balls initially, 150 each

Hope this helped

:)

Answer:

Base x height = area

3.7 x 5 = 18.5

18.5 is the area

Step-by-step explanation: