Which graph shows a system of equations with exactly one solution?

Answer:

The probability of obtaining the sum of 10 is 1/12 or 0.0833

Step-by-step explanation:

Given

2 fair dice

Required

Probability of obtaining the sum of 10

To solve this, we have to list out the sample space.

Sample space is the total possible sum that can be obtained when she rolls the dice.

Let the first die be represented with S1 and the second be represented with S2.

S1 = {1,2,3,4,5,6}

S2 = {1,2,3,4,5,6}

To get the sample space, we have to add individual elements of S1 and S2.

This is done as follows.

When S1 = 1 and S2 = {1,2,3,4,5,6}

Sum = 1+1, 1+2, 1+3, 1+4, 1+5, 1+6

Sum = 2, 3, 4, 5, 6, 7

When S1 = 2 and S2 = {1,2,3,4,5,6}

Sum = 2+1, 2+2, 2+3, 2+4, 2+5, 2+6

Sum = 3,4,5,6,7,8

Using the same pattern as used above

When S1 = 3 and S2 = {1,2,3,4,5,6}

Sum = 4,5,6,7,8,9

When S1 = 4 and S2 = {1,2,3,4,5,6}

Sum = 5,6,7,8,9,10

When S1 = 5 and S2 = {1,2,3,4,5,6}

Sum = 6,7,8,9,10,11

When S1 = 6 and S2 = {1,2,3,4,5,6}

Sum = 7,8,9,10,11,12

Writing out the Sum, will give us the sample space.

Sample Space = {2, 3, 4, 5, 6, 7, 3, 4, 5, 6, 7, 8, 4, 5, 6, 7, 8, 9, 5, 6, 7, 8, 9, 10, 6, 7, 8, 9, 10, 11, 7, 8, 9, 10, 11, 12}

The sample space has a total of 36 elements

To calculate the probability of obtaining the sum of 10,

We have to count the number of 10's in the sample space

Number of 10 = 3

Probability = Number of 10 / Number of Sample Space

Probability = 3 / 36

Probability = 1/12

Probability = 0.0833

Hence, the probability of obtaining the sum of 10 is 1/12 or 0.0833

Answer:

3/36 = 1/12

Step-by-step explanation:

Total Outcome - 36

Possible Outcome - 4,6 5,5 6,4 : 3

Answer:

5.7

Step-by-step explanation:

AD is an angle bisector

ACD and ABD have sides in the same ratio

5.1/3.2 = AB/3.6

AB = 3.6 × 5.1/3.2

AB = 5.7375

Answer:

6.3

Step-by-step explanation:

Answer:

A Bar Graph. Bar graphs are used to compare things between different groups or to track changes over time. However, when trying to measure change over time, bar graphs are best when the changes are larger.

Step-by-step explanation:

(happy to help)

Answer:

A

Step-by-step explanation:

simple interest

1000 x 6.4% x 5 = 320

compound int

1000(1+12.8/100)^5 - 1000=826.188

Answer:

do length times width times height and see what you get if your answer is not on there split the figure into 2 shapes and do l*w*h to both and add you 2 figures together then see if you have your answer.

Step-by-step explanation:

do length times width times height and see what you get if your answer is not on there split the figure into 2 shapes and do l*w*h to both and add you 2 figures together then see if you have your answer. hope that helps!

Answer:

528 ft3

Step-by-step explanation:

Answer:

2/8 < 7/8

Step-by-step explanation:

Since the denominators are the same, we compare the numerators

2<7  so

2/8 < 7/8

Answer:

C. 50 deg

Step-by-step explanation:

m(arc)BDC = 260 deg

Since a full circle has an arc measure of 360 deg, we can find the measure of arc BC.

m(arc)BC = 360 deg - 260 deg = 100 deg

Angle 1 is formed by a tangent to the circle and a chord of the circle and has a vertex on the circle. Its measure is half the measure of the intercepted arc.

m<1 = (1/2)m(arc)BC = (1/2) * 100 deg = 50 deg

Answer: C. 50 deg

Answer:

D

Step-by-step explanation:

When an expression is divided by its factor, there are no remainders.

Let's look at the number 6.

6= 1(6)= 2(3)

Thus, the factors of 6 are 1,2,3 and 6.

This is because 6 is divisible by all those numbers to give no remainders.

Let's look at the question again.

D. 2(x-a) is divisible by (x-a) since

[tex] \frac{2(x - a)}{x - a} = 2[/tex]

A.

[tex] \frac{ - (x + a) - 2}{x - a}[/tex]

This fraction cannot be simplified further

B.

[tex] \frac{ - 2(x + a)}{x - a} [/tex]

This fraction cannot be simplified either

C.

[tex] \frac{(x - a) + 2}{x - a} \\ = \frac{x - a}{x - a} + \frac{2}{x - a} \\ = 1 + \frac{2}{x - a} [/tex]

There is a remainder of 2 since 2 cannot be divided by (x-a). Thus, (x-a) is not a factor of this fraction.

Answer:

It can be biased.

Step-by-step explanation:

Usually it is the correctness of the assignment, but with some teachers there may be bias with the grade too.

Hope this helps

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Final answer:

The bicycle should be worth a value of $79.16 after 6 years.

Explanation:

To calculate the value of the bicycle 6 years later, we need to find the depreciated price. The bicycle depreciates at a rate of 15% per year, so after 6 years, it will be worth 85% of its original value.

First, we calculate the value after one year: $250 * 0.85 = $212.50. Then, for each subsequent year, we multiply the previous year's value by 0.85 to calculate the new value.

Therefore, the bicycle should be worth $212.50 * 0.85 * 0.85 * 0.85 * 0.85 * 0.85 = $79.16 after 6 years.

Answer:

a

Step-by-step explanation:

Answer:

B 27x^6y^9/z^9

Step-by-step explanation:

Answer:

V = 136.1

Step-by-step explanation:

Use the formula [tex]V = \frac{1}{3}\pi r^{2} h[/tex]

The solution is,  the volume of the cone is 136.2inch^3.

The formula for the volume of a cone is ⅓ r2h cubic units, where r is the radius of the circular base and h is the height of the cone.

here, we have,

A cone has a radius of 5.1 inches

and a height of 5 inches.

we know,

Volume =  ⅓ r²h

             =136.2inch^3.

Hence, The solution is,  the volume of the cone is 136.2inch^3.

to learn more on volume of cone click:

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Answer:

A. 9.85 inches

Step-by-step explanation:

In the graph we can see that 1 month has a rainfall of 0.4 in, 2 months have a rainfall of 0.5 in, 1 month has a rainfall of 0.6 in, 2 months have a rainfall of 0.85 in, 1 month has a rainfall of 0.95 in, 2 months have a rainfall of 1.0 in, 2 months have a rainfall of 1.05 in and 1 month has a rainfall of  1.1 in.

The total amount of rainfall in the desert that year was: 0.4 + 2*0.5 + 0.6 + 2*0.85 + 0.95 + 2*1.0 + 2*1.05 + 1.1 = 9.85 inches

Answer:

its 10.75 i'm pretty sure oops never mind i thought it was 1.5 its 1.05 my mistake the answer is 9.85!

Step-by-step explanation:

Answer:

Add 4 to 17, then divide both sides by 3.

Step-by-step explanation:

Given that :

Suri's age is 4 less than 3 times her cousin's age

Suri is 17 years old

Let her cousin's age be c

Then ;

3c - 4 = 17

By adding 4 to 17; we have

3c = 17 + 4

3c = 21

Now, dividing both sides by 3 ; we have

3c/3 = 21/3

c = 7

The age of her cousin is 7 years

Answer:

Algebraic equation

Step-by-step explanation:

We would use an algebraic equation.

An algebraic equation is a mathematical statement in which two expressions are made equal to each other using the equal sign.

In this case the algebraic equation consists of constant, variables and algebraic operation.

One of the type of algebraic equation is a linear equation. The expression below relating suri's age with her cousin's is a linear equation.

We can derive equations from sentences that involves unknown values by representing them with variables such as x, y, etc.

Suri's age = 17years old

Let Suri's cousin's age = x

3 times her cousin's age = 3x

Suri's age = 4 less than 3 times her cousin's age = 3x-4

17 = 3x-4

3x = 17+4 = 21

x = 21/3

x = 7

Her cousins age = 3x = 3×7

Her cousins age = 21 years

Answer:

Omar has 27 fish in all.

Step-by-step explanation:

Goldfish: OOOOOOO

Redfish: 7-3=4 OOOO

Black fish: 7+8=15 OOOOOOOOOOOOOOO

Add all of those and you get this many:

OOOOOOOOOOOOOOOOOOOOOOOOOO=27

Hope this helped lots and lots,

sincerely, me

Answer:

I believe it's the second one

Step-by-step explanation:

A dilation factor of 1/2 and reflection across the x-axis that triangle JKL is dilated to form triangle  J'K'L' which is the correct answer would be an option (C)

Dilation is a process for creating similar figures by changing the size.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

Here triangle JKL is dilated to form triangle J'K'L

Given that the coordinates for each of the shapes:

Regular:

J = -8, 6

K = -4, 6

L = -6, 2

Prime notation:

J' = -4, -3

K' = -2, -3

L' = -3, -1

We have to determine the dilation factor.

As we know dilation factor is the ratio of sides in the original image and the image after dilation.

Dilation factor = J'K'/JK

Dilation factor = 2/4 =  1/2

Hence, a dilation factor of 1/2 reflection across the x-axis that triangle JKL is dilated to form triangle  J'K'L'

Learn more about the Dilation here:

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Answer:

D)1/52

Step-by-step explanation:

because their is only one 5 of diamonds in each standerd 52 pack of cards

Answer: The dude below or above me is so wrong the answer for this question is c) 1/4.

Have a great day guys. ✌

Step-by-step explanation:

Answer:

5jk²-10j²k

Step-by-step explanation:

We simply distribute the 5jk to both terms.

5jk(k) = 5jk²

5jk(-2j) = -10j²k

And then we write them together: 5jk²-10j²k

Answer:

Here is the answer. Please rate it.

Answer:

Step-by-step explanation:

The fourth is a sum (+) not difference (-).

All others are some form of difference of squares:

[tex]169x^4-49 = \left(13x^2\right)^2-7^2[/tex]

difference of square of number 13x² and square of number 7

[tex]36-25b^2=6^2-(5b)^2[/tex]

difference of square of number 6 and square of number 5b

[tex]100-r^2=10^2-r^2[/tex]

difference of square of number 10 and square of number r

[tex]64y^2-81=(8y)^2-9^2[/tex]

difference of square of number 8y and square of number 9

Answer:

6,250

Step-by-step explanation:

(4.3+8.2)500

12.5(500)

6,250

Hope this helps! Please mark brainliest :)

Answer:

334/667

Step-by-step explanation

chances of getting heads is 1/2

chances of getting an even number is 333/666

simply add them up

Answer:

1/4

Step-by-step explanation:

i’m assuming u meant a 6 sided die. the probability of flipping a heads would be 1/2. the probability of rolling an even number is 3/6. 3/6 times 1/2 is 3/12 or 1/4

Answer:

Step-by-step explanation:

it’s inside

Answer:

0.76

Step-by-step explanation:

6.24/8.2 = 0.76

Answer:

80 units

Step-by-step explanation:

Start with the rectangle of 8×6 which is 48.

Then start with a base, 2×6=12 and add 4, 2 per triangle. One base equals 16 and because it's 2 bases multiply by 2 equals 32.

32+48=80

The answer would be 80.

Hope this help and have a fabulous day!

Answer:D

Step-by-step explanation:

Answer:

3x = 90, so x = 30.

2(30) + 3y = 90

60 + 3y = 90

3y = 30

y = 10

The correct answer is A.

Your answer would be the last option, 0.71.

To find the probability of the next pizza not being a cheese pizza, we need to find how many pizzas in the sample weren't cheese by adding them up. This gives us:

14 + 23 + 14 = 51

The total number of pizzas made is 21 + 14 + 23 + 14 = 72.

Therefore the probability of not making a cheese pizza would be 51/72 = 0.708 = 0.71

I hope this helps!

Answer:

b

Step-by-step explanation: