What is the range of the linear parent function?

O A. All real numbers
B. Negative real numbers (y< 0)
C. Nonnegative real numbers (y=0)
D. Positive real numbers (y> 0)

Answer:

A) P(10 on three rolls) = 1/1728 = 0.0005787

B) P(10 in two of three rolls) = 11/1728 = 0.0063657

Step-by-step explanation:

Each die has 6 possible values, so a pair of dice have a total of 6*6=36 outcomes.

To find a sum of 10, the cases are:

(4,6), (5,5) and (6,4).

So to have a sum of 10 we have 3 cases among the 36 possible, therefore the probability is:

P(10) = 3/36 = 1/12

A)

If we want the sum of 10 in each of the three rolls, the probability is:

P(10 on three rolls) = P(10)^3 = (1/12)^3 = 1/1728 = 0.0005787

B)

If the sum is 10 in two of three rolls, in one roll we need the probability of the sum not being 10:

P(not 10) = 1 - P(10) = 1 - (1/12) = 11/12

So we have:

P(10 in two of three rolls) = P(10)^2 * P(not 10) = (1/12)^2 * (11/12)

P(10 in two of three rolls) = 11/1728 = 0.0063657

Answer:

k = 77/10

Step-by-step explanation:

The jar consist of blue, red and green marbles . The probability of each of them can be described as follows.

probability of blue marbles = 2/7

probability of red marbles = 3/k

probability of green marbles = 5/2k

The sum of the individual probability is equals to 1. Therefore,

2/7 + 3/k + 5/2k = 1

collect like terms

(6 + 5)/2k = 1 - 2/7

11/2k =(7 - 2) /7

11/2k = 5/7

cross multiply

10k = 77

divide both sides by 10

k = 77/10

Answer:

See picture.

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\dfrac{|AC|}{\sin B}=\dfrac{|AB|}{\sin C}\\\\\dfrac{9}{\sin38^o}=\dfrac{11}{\sin C}\\\\\dfrac{\sin38^o}9=\dfrac{\sin C}{11}\\\\\sin C=\frac{11}9\sin38^o =\frac{11}9\cdot0,6157=0,7525(2)\\\\\sin C\approx0,7525\quad\iff\quad |\angle C|\approx48^o48'\\\\|\angle A|=180^o-|\angle B|-|\angle C|\\\\|\angle A|=180^o-38^o-48^o48'\\\\|\angle A|=93^o12'\approx93^o[/tex]

Answer:

It will take 4.84 hours for the drug to decay to 93​% of the original​ dosage.

Step-by-step explanation:

We are given that the half-life of a certain tranquilizer in the bloodstream is 47 hours.

The given exponential model is: [tex]A = A_0 e^{kt}[/tex]

Now, we know that A becomes half after 47 hours which means that;

[tex]A = 0.5 A_0[/tex]

Using this in the above equation we get;

[tex]A = A_0 e^{kt}[/tex]

[tex]0.5 A_0 = A_0 e^{(k\times 47)}[/tex]  where t = 47 hours

[tex]\frac{0.5 A_0}{A_0} = e^{(47k)}[/tex]

[tex]0.5 = e^{47k}[/tex]

Taking log on both sides we get;

[tex]ln(0.5) = ln(e^{47k})[/tex]

[tex]ln(0.5) =47k[/tex]

[tex]k = \frac{ln(0.5)}{47}[/tex]

k = -0.015

Now, the time it will take for the drug to decay to 93​% of the original​ dosage is given by;

[tex]0.93 = e^{kt}[/tex]  where t is the required time

[tex]0.93 = e^{(-0.015 \times t)}[/tex]

Taking log on both sides we get;

[tex]ln(0.93) = ln(e^{-0.015t})[/tex]

[tex]ln(0.93) =-0.015t[/tex]

[tex]t = \frac{ln(0.93)}{-0.015}[/tex]

t = 4.84 hours

Hence, it will take 4.84 hours for the drug to decay to 93​% of the original​ dosage.

Answer:

A

Step-by-step explanation:

T is the dependent variable

a dependent variable means it depends on something so if a number changes it will change the end result for T.

T is dependent on P since if the weight on the elevator changes the total weight will change. That is what makes it dependent.

Answer:

They are both dependent variables.

Step-by-step explanation:

I did this on Khan Academy and it worked.

Answer:

29 square yards

Step-by-step explanation:

see attachment for the graph

Vertices of rectangular pool are A(3,2),B(7,8),C (4,10), and D (0,4).

AB=[tex]\sqrt{(7-3)^{2}+(8-2)^{2}}= \sqrt{16+36}=\sqrt{52}[/tex] yard=CD

BC= [tex]\sqrt{(7-4)^{2}+(8-10)^{2}}=\sqrt{9+4}=\sqrt{13}[/tex]yard=DA

In order to find the area of rectangular pool =Length × Breadth

                                        =√52 ×√13=13×2=26 sq. yard

Vertices of triangle given are: P(5,2),Q(7,2) and R(7,5).

PQ= 2 units, QR= 3 units

Area of right triangle PQR=1/2 ×PQ×PR

                                           =1/2×2×3= 3 sq. yards

Next is to find total material needed to cover( that includes bot rectangular pool and triangular hot tub)

       = Area of rectangle + Area of right triangle

       =26+3=29 square yards

Answer:

29

Step-by-step explanation:

I just did my homework

Answer:

A

Step-by-step explanation:

Answer:

30 persons

Step-by-step explanation:

Let's create a proportion using the following setup:

persons/rice=persons/rice

We know that 12 persons can eat 8 kilograms of fried rice.

12 persons/ 8 kg of rice= persons/rice

We also know that x (unknown) persons can eat 20 kilograms of fried rice.

12 persons/ 8 kg of rice= x persons/ 20 kg of rice

12/8=x/20

x is being divided by 20. The inverse of division is multiplication. Multiply both sides of the equation by 20.

20(12/8)=(x/20)20

20*12/8=x

20*1.5=x

30=x

30 persons can eat 20 kilograms of fried rice.

Answer:

30 people

Step-by-step explanation:

1) Set up a proportion, 8kg/12 = 20kg/x

2) Do cross multiplication to solve for x

3) x = 30 people

Answer:

144

Step-by-step explanation:

Abigail wants to produce a tapestry that will be in the shape of a parallelogram

The tapestry is 24 inches across the bottom and 36 inches tall

She pieces smaller simlar parallelograms that are 2 inches wide and 3 inches tall

The first step is to find the area of the whole tapestry

Area = base × height

Base= 24 inches

Height= 36 inches

Area= 24×36

= 864 square inches

The next step is calculate the area of the smaller pieces

Area= base × height

Base= 2 inches

Height= 3 inches

Area= 2×3

= 6 square inches

Therefore, the value needed to produce the tapestry can be calculated by dividing the area of the whole tapestry by the area of the smaller pieces

= 864/6

= 144

Hence Abigail will need 144 smaller similar parallelograms to make the tapestry.

Answer:

144

Step-by-step explanation:

Answer:

x intercepts are : (1,0)(4,0),(-3,0)

Step-by-step explanation:

x intercepts are : (1,0)(4,0),(-3,0)

plot only the x values

hope it helps

Answer:

x² - 2x - 8

Step-by-step explanation:

Algebra tiles are tiles used to represent variables or numbers and are rectangular or square shaped.

1 is labeled + x squared, this gives x²

2 are labeled + x, this gives +x × 2 = +2x

4 tiles below + x squared are labeled negative x, this gives - x × 4 = - 4x

8 tiles below the + x tiles are labeled negative, this gives -1 × 8 = -8

Therefore to get the polynomial that was factored, we add all the terms. This gives :

+x² + (+ 2x) + (-4x) + (-8) = x² + 2x - 4x - 8 = x² - 2x - 8

Answer:

The answer is A, and if edge is being weird the answer is x^2-2x-8, Have fun dreamers!

Step-by-step explanation:

Answer:

2.5

Step-by-step explanation:

The median is the middle value of the data set. If there is no exact middle value then it is the average of the 2 values either side of the middle.

0  ,  1  ,  2  ,  3  ,  4  ,  5

                 ↑ middle of data

Thus median = [tex]\frac{2+3}{2}[/tex] = [tex]\frac{5}{2}[/tex] = 2.5

Answer:

radical 232

Step-by-step explanation:

14^2+6^2=x^2

196+36= 232

radical 232

Answer: Distance is 15.2

Step-by-step explanation:

[tex]d = √((x2-x1)2 + (y2-y1)2)[/tex]

[tex](x2-x1) = (9 - -5) = 14[/tex]

[tex](y2-y1) = (2 - -4) = 6[/tex]

[tex](14)2 + (6)2 = 196 + 36 = 232[/tex]

[tex]\sqrt{232} =15.2315[/tex]

round to the nearest 10th

Answer:  The answers are in the steps

Step-by-step explanation:

x         y        value of y/x

-3        -3            1

1           1             1

3           3             1

Answer:

solution,

Let the points be A and B

A(-4,-8)--->(X1,y1)

B(-4,12)---->(x2,y2)

Now,

[tex]ab = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } \\ \: \: \: = \sqrt{ {( - 4 - ( - 4)}^{2} + 12 - ( - 8) ^{2} } \\ \: \: \: \: = \sqrt{ {( - 4 + 4)}^{2} + {(12 + 8)}^{2} } \\ = \: \: \: \: \sqrt{ {(0)}^{2} + {(20)}^{2} } \\ \: \: \: \: = \sqrt{0 + 400} \\ \: \: \: = \sqrt{400} \\ \: \: = \sqrt{ {(20)}^{2} } \\ \: \: = 20 \: units[/tex]

Hope this helps..

Good luck on your assignment...

Answer:

the first step to eliminate d is to multiply equation B by 5

second :(m,n) (-6,-11)

value of a can be substituted into equation D to solve the system of equations is 7b-1

Step-by-step explanation:

first equation:

4c=d-8 or 4c-d=-8

c=5d+8 or c-5d=8

so the first step to eliminate d is to multiply equation B by 5

second equation :

n=3m+7 or n-3m=7

n-2m=1

n-3m=7

solve :

1-eliminate n by subtracting two equation : : n-2m-(n-3m)=1-7

-2m+3m=-6

m=-6

substitute m: n-3(-6)=7 , then n+18=7

n=7-18=-11

third :

a=3b+6 or a-3b=6

a=7b-1

find a

a-3b=6

value of a can be substituted into equation D to solve the system of equations is 7b-1

Answer:

In a nutshell, you have to graph the parabola. Where the parabola intersects the x-axis is the solutions to the quadratic equation.

Answer:

Point B of 4the quertant

━━━━━━━☆☆━━━━━━━

▹ Answer

(x, y) = (14/5, 87/20)

▹ Step-by-Step Explanation

8x - 4y = -4 - 3x + 4y = 5

8x - 4y = 5

-4 - 3x + 4y = 5

8x - 4y = 5

-3x + 4y = 9

5x = 14

x = 14/5

-3 * 14/5 + 4y = 9

y = 87/20

(x, y) = (14/5, 87/20)

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

11x−8y=−9

Step-by-step explanation:

khan

Answer:

39.8°

Step-by-step explanation:

We know slope is rise over run. That would mean our right triangle would have a horizontal leg of 6 and a vertical leg of 5. From there we use tan∅ to help solve ∅:

tan∅ = 5/6

∅ = tan⁻¹(5/6)

∅ = 39.8056

Answer:

Acute angles.

Step-by-step explanation:

Acute angles are from 0-90 degrees.

Hope this helps :)

Answer:

Acute angles

Step-by-step explanation:

Acute angles are measured between 0 and 90 degrees.

Answer:

The box-and-whisker plot of this distribution is presented in the attached image to this solution.

Step-by-step explanation:

A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.

A box and whiskers plot shows 5 major information about the distribution of data. It shows:

- The maximum variable.

- The minimum variable.

- The Median.

- The first quartile.

- The third quartile.

Further info such as the range and Inter quartile range can then be obtained from this 5-number summary.

The elements of the box plot are described thus;

The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.

The horizontal line inside the box is the median.

The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.

Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.

The required boxplot for this question is given in the attached image to this solution.

The median for the boxplot isn't provided, but it was assumed to be midway between the first and third quartile.

Hope this Helps!!!

Answer:

Step-by-step explanation:

m=[tex](5,\frac{25}{4} )[/tex]

midpoint line between A and B

The midpoint is halfway between the two end points:

Its x value is halfway between the two x values

Its y value is halfway between the two y values

Answer: x = -3/4 can not be a rational zero of the polynomial.

Step-by-step explanation:

We have the polynomial:

6x^5 + ax^3 -bx -12 = 0.

The theorem says that:

If P(x) is a polynomial with integer coefficients, and p/q is a zero of P(x) then p is a factor of the constant term (in this case the constant term is -12) and q is a factor of the leading coefficient (in this case the leading coefficient is 6.).

The factors of -12  (different than itself) are (independent of the sign).

1, 2, 3, 4 and 6.

So p can be: 1, -1, 2, -2, 3, -3, 4, -4, 6, -6.

The factors of 6 are:

1, 2 and 3, so q can be 1, -1, 2, -2, 3, -3.

Then the option that can not be a zero of the polynomial is

x = -3/4

because the number in the denominator must be a factor of the leading coefficient, and 4 is not a factor of six.

Answer:

Use a graphing calc.

Step-by-step explanation:

Answer:

1 * 10^11

Step-by-step explanation:

Take the gulf of mexico and divide by the rate to get the number of seconds

2,434,000,000,000,000 / 16790

Change each to scientific notation

2 * 10 ^15/ 1.6 *10^ 4

Rounding

2 * 10^15 / 2 * 10^4

Dividing the numbers 2/2 =1

Dividing the exponents means subtracting the powers = 10 ^(15-4) = 10 ^1

1 * 10^11

Answer:

t =5

g = 15

Step-by-step explanation:

t = tennis balls

g = golf balls

70 = 5t+3g

85 = 2t+5g

Multiply the first equation by -2

-2(70 = 5t+3g)

-140 = -10t -6g

Multiply the second equation by 5

5(85 = 2t+5g)

425 = 10t + 25g

Add these new equation together to eliminate t

-140 = -10t -6g

425 = 10t + 25g

-------------------------------

285=0t+19g

Divide by 19

285/19 = g

15 = g

Now find t

85 = 2t+5g

85 = 2t +5(15)

85 = 2t + 75

10= 2t

t =5

Let the cost of a can of tennis balls be $x and that of a sleeve of golf balls be $y.

5x + 3y = 70

2x + 5y = 85

(5x + 3y) x 2 = 70 x 2

10x + 6y = 140

(2x + 5y) x 5 = 85 x 5

10x + 25y = 425

10x + 25y -10x - 6y = 425 - 140

19y = 285

y = 15

2x + 5y = 85

2x + 75 = 85

2x = 10

x = 5

Therefore the cost of a sleeve of golf balls is $15 and that of a can of tennis balls is $5.

Answer:

True

Step-by-step explanation:

In order to inscribe a circle in a triangle, the circle's center must be placed at the in center of the triangle, is true. the in center also is a point where the bisectors of the angles meet.