a number is rolled once and then rolled again. What is the probability of rolling a 3 followed by rolling a 6?

Answer:

Median: 75

Mode: 50

Mean: ≈ 75.4

Range: 50

Step-by-step explanation:

Arrange the numbers in order:

50, 50, 70, 80, 88, 90, 100

There is no exact middle number.

[tex]70 + 80 = 150\\150/2 = 75[/tex]

The median is about 75.

50, 50, 70, 80, 88, 90, 100

"50" appears the most.

The mode is 50.

Add all numbers in the set.

[tex]100+88+50+50+90+70+80 = 528[/tex]

Divide by the number of values in the set.

[tex]528/7 = 75.4285714286[/tex]

75.4285714286 ≈ 75.4

The mean is about 75.4.

Subtract the smallest number in the data set from the largest number in the data set.

[tex]100-50=50[/tex]

The range is 50.

Brainilest appreciated.

x =14

Answer:

[tex] m\angle ABC = 51°[/tex]

Step-by-step explanation:

11. By inscribed angle theorem:

[tex] 83°=\frac{1}{2} \times (9x+40)°\\\\

83°\times 2 = (9x+40)°\\

166°= (9x+40)°\\

166 = 9x + 40\\

166 - 40 = 9x\\

126 = 9x\\\\

x = \frac{126}{9}\\\\

\huge \red {\boxed {x = 14}} [/tex]

12. Again by inscribed angle theorem:

[tex] (5x+11)°=\frac{1}{2} \times (16x-26)°\\\\

2\times (5x+11)°= (16x-26)°\\

(10x+22)°= (16x-26)°\\

10x + 22 = 16x - 26\\

22+26 = 16x - 10x\\

48= 6x\\\\

x = \frac{48}{6}\\\\

\huge \purple{\boxed {x = 8}}\\

m\angle ABC = (5x+11)°\\

m\angle ABC = (5\times 8+11)°\\

m\angle ABC = (40+11)°\\

\huge \orange{\boxed {m\angle ABC = 51°}} \\

[/tex]

Answer:

6. -285°, 435°

7. -360°, 360°

Step-by-step explanation:

6. θ = 75°

75-360 = -285°

75+360 = 435°

7. θ = 720°

720 - 1080 = -360°

720 - 360 = 360°

Answer:

answer is positive

Step-by-step explanation:

Question:

Ellen mixed ¼ kg of flour with ²/9 kg of sugar.

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. However, question that are likely to be asked are.

- What's the weight of the total mixture in grams

- What percentage of the mixture is sugar

To solve (1);

We simply add both weights together

But first, the units must be converted to grams.

1kg = 1000 grams

So,

¼kg = ¼ * 1000 g

¼kg = 250 g

²/9kg = ²/9 * 1000

²/9kg = 2000/9

²/9kg = 222.2 g

Add these results

Total = 250g + 222.2g

Total = 472 g

The result can be written in different ways

1. 472 grams

2. About 500 grams

If converted back to kg

472 grams = 472/1000 kg

472 grams = 0.472 kg.

So, the result can also be written as

3. 0.472 kg

4. About 0.5kg (½kg)

To solve (2)

What percentage of the mixture is sugar

To do this, we simply divide the size of sugar by the total size of the mixture.

From (1) above

Sugar = 250g

Total = 472g

Percentage of sugar = 250/472

Percentage of sugar = 0.5297

Percentage of sugar = 0.5297 * 100%

Percentage of sugar = 52.97%

Answer:

1/2

Step-by-step explanation:

I did it and it was write right hope it helps

The total finance charge over the course of his loan is $2071.20.

It is required to find the total finance charge.

Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.

Given that:

Loan= $15,000

The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be 23.71 per thousand borrowed.

The sum of those 48 payments is ...

=48 × $23.71 =

 =$1138.08

That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000.

so his total finance charge will be

= 15 × $138.08

= $2071.20

Therefore, the total finance charge over the course of his loan is $2071.20.

Learn more about simple & compound interest here:

https://brainly.com/question/16666364

#SPJ5

Answer:

D.

$2,071.20

Step-by-step explanation:

Answer:

multiplication i think? correct me if im wrong:)

Step-by-step explanation:

bye.

The answer is [ C. Multiply ]

The inverse operation of division is multiplication and vice versa.

The inverse operation of subtraction is addition and vice versa.

Solve for x.

x/6.8 = 5

~Multiply 6.8 to both sides

x/6.8 * 6.8 = 5 * 6.8

~Simplify

x = 34

Best of Luck!

Answer:

330 000 m²

Step-by-step explanation:

1. Area of farm

[tex]A = \text{1 km}^{2} \times\left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2}= \text{1 000 000 m}^{2}[/tex]

2. Area for wheat

[tex]A = \text{28 hm}^{2} \times \left (\dfrac{\text{100 m}}{\text{1 hm}}\right)^{2} = \text{280 000 m}^{2}[/tex]

3.Area for olive trees

[tex]A = {\text{3900 dam}^{2} \times \left (\dfrac{\text{10 m}}{\text{1 dam}}\right )^{2}}= \text{390 000 m}^{2}[/tex]

4. Area for sunflowers

Total area                  =                          1 000 000 m²

- Area for wheat        = 280 000 m²

- Area for olive trees = 390 000                                  

                                                                 670 000      

Area for sunflowers =                              330 000 m²

Sunflowers occupy 330 000 m².

Answer:

time taken = 850/(8+7) =56.6 second

Answer:

The answer is: 56 2/3

Step-by-step explanation:

First add up the amount of feet they run all together every second. 8+7=15 feet/second. You have to find the total amount of seconds for them to meet so you divide. 850 divided 15 equals 56 2/3 seconds. That's your answer.

Answer:

50.24inches

Step-by-step explanation:

Your diameter is 8 inches so divide that by two to get a radius of 4 multiply 4 by itself and multiply that (16) by pi.(it gives you 50.24)

The length between is the number 9 , just add 29 to 20 which is just 9 more numbers

Answer:

$4.50 for 9 cans

Step-by-step explanation:

Answer:

105.3 inches^3

Step-by-step explanation:

you have to multiply 6.5*4.5*4*.9 to get 105.3

Answer:

I promise it's C.) 10 sq. feet. It is not B.)

Answer:

Its C, I took the USA step prep

Answer:

I got B) ; 54m2

Step-by-step explanation:

the above diagram is a trapezium.

the area is gotten by; 1/2 (a+b)h

a = shortest side.

b = the longer side that is directly opposite to (a).

h = height.

1/2(3 + 9)9

1/2 by 12 by 9

to get 54

Answer:

3

Step-by-step explanation:

3-2=1

3+10=13

1x13=13

Corrected Question

What does [tex]-\dfrac35>-2[/tex] indicate about the position of [tex]-\dfrac35[/tex] and −2 on the number line?

Options

negative 3 over 5 is located on the right of −2

negative 3 over 5 is located on the left of −2

negative 3 over 5 is located on the right of 0 and −2 is located on the left of 0

negative 3 over 5 is located on the left of 0 and −2 is located on the right of 0

Answer:

(A)negative 3 over 5 is located on the right of −2

Step-by-step explanation:

Given the inequality: [tex]-\dfrac35>-2[/tex]

On a number line, numbers are written from the left to the right in ascending order.

Therefore:

In the given inequality  [tex]-\dfrac35>-2[/tex] , both numbers are negative and are therefore to the left of 0.

However, since [tex]-\dfrac35[/tex] is greater than -2, it is located to the right of -2 .

The correct option is A.

Answer:

Step-by-step explana

Answer:

  see below

Step-by-step explanation:

When you're doing a bunch of these, it is helpful to make a table with reminders as to how they're calculated. That table is shown below.

__

In the attached, we have used ...

  r² = x² +y²

  √20 = 2√5

  √36 = 6

  √25 = 5

and 1/(2√5) = √5/10. (The division is outside the radical.)

Answer:

Around 11:15 am

Step-by-step explanation:

Let h represents the number of hours the plumber works

Since the plumber charges $65 fee plus $75 per hour, the bill can be calculated by:

→ bill = 65 + 75h

Since the bill is $195.25

→ 195.25 = 65 + 75h

→ 75h = 130.25

→ h = 1.74

1.74 implies that the plumber worked almost 1 hour and 45 minutes. Since the plumber started at 9:30, the repair was completed around 11:15 am.

Answer:

2*10^-4

Step-by-step explanation:

Answer:

2.0x10^6

Step-by-step explanation:

First, let's change the number in the numerator into scientific notation.

180/ 9.0x 10^-5 = 1.80x10^2/ 9.0x10^-5

Start by collecting the significance and exponents.

1.80X10^2/ 9.0x10^-5 = 1.80/ 9.0x 10^2/10^-5

Then divide each term separately. When dividing exponents with the same base, subtract their power.

=0.20x10^2-(-5) =0.20x 10^7

To write the answer correctly in scientific notation, the first number needs to be between 1 and 10. In this case, we need to move the decimal one position to the right without changing the value of our answer.

We can use the fact that 0.20 is the same as 2.0/10, or 2.0x 10^-1

=2.0x10^-1x 10^7

=2.0x 10^-1+7

=2.0x 10^6

Answer:

78.5 m²

Step-by-step explanation:

Area formula: πr²

Plug it in: (3.14)(5m)²

Answer: 78.5 m²

Answer:

x > 4

Step-by-step explanation:

-3x -24 < -36

Add 24 to each side

-3x -24+24 < -36+24

-3x< -12

Divide each side by -3, remembering to flip the inequality

-3x/-3 >-12/-3

x > 4

Answer:

x > 4

Step-by-step explanation:

Given equation,

→ -3x - 24 < -36

Now the value of x will be,

→ -3x - 24 < -36

→ -3x < -36 + 24

→ -3x < -12

→ x > -12/-3

→ x > 12/3

→ [ x > 4 ]

Hence, the answer is x > 4.

Answer: 16 days.

Step-by-step explanation:

I will answer this in English.

An aritmetic series works in the next way.

if the first therm is A.

Then the second therm is A + r

the third therm is A + r + r

and so on.

Where A is the initial value and r is a constant.

Here the first term is A = 1

The second term is 3, we can find the value of r as:

3 - 1 = r = 2

Then our series is:

Kₙ₊₁ = Kₙ + 2

where K₁ = 1

We know that in total he bought 225 figures, then we have the sumation:

∑Kₙ

and we want to find the value of n.

the sum of the first n terms is:

Sn = (n/2)*(K₁ + Kₙ)

where Kₙ = 1 + n*2 and K₁ = 1

so we must solve:

225 = (n/2)*(1 + 1 + n*2) = n + n^2

So we must solve the quadratic equation:

n^2 + n - 225 = 0

the solutions are:

[tex]n = \frac{-1 + -\sqrt{1^2 + 4*225} }{2} = \frac{-1 +-30}{2}[/tex]

So we have two solutions:

n = 29/3 = 14-.5

n = -31/2 = -15.5

We must select the positive solution, because n can be only positive, and we should round it to the next whole number, that is 16.

So he bought figures for 16 days.

Answer:

43, it raises by 4 each time. good luck!

Step-by-step explanation:

Answer:

Option C is correct.

f = 2

Step-by-step explanation:

The mean is the sum of variables divided by the number of variables

Mean = (Σfx)/(Σf)

xi | 15 | 17 | 20 | 30 | 10 + f

fi | 4 | 4 | 6 | 5 | 6

Σfx = (15×4) + (17×4) + (20×6) + (30×5) + [(10+f)×6] = 60 + 68 + 120 + 150 + 60 + 6f = (458 + 6f)

Σf = 4 + 4 + 6 + 5 + 6 = 25

Mean = 18.8

18.8 = (458+6f) ÷ 25

458 + 6f = 25 × 18.8 = 470

6f = 470 - 458 = 12

f = (12/6) = 2

Hope this Helps!!!

Answer:

A- isosceles

B- equilateral

C- scalene

Answer:

Triangle A

Isosceles

Triangle B

Equilateral

Triangle C

Scalene

Hope this helped

Answer:

7 years

Step-by-step explanation:

Given:

Principal P = 9300

Interest rate r = 13% = 0.13

Final amount F = 17,763

Since the problem does not state that it is a compounded interest, we will assume this is a simple interest case.

The formula for simple interest is;

Interest I = Prt .....1

t = period

Final amount F = P + I

I = F-P

Substituting into equation 1;

(F-P) = Prt

t = (F-P)/Pr

Substituting the given values;

t = (17,763 - 9300)/(9300×0.13)

t = 7 years

Period = 7 years

Answer:

The only statement that is NOT true is option A.

- If 160 students buy a cookie, approximately 18 students would buy a sugar cookie.

Step-by-step explanation:

Complete Question

Ellen is opening. Cookie shop eat a local middle school . She randomly surgery’s students to determine The types of cookies they would buy at the cookie shop the results of the surveys are below based on the survey. Which statement is not true?

Cookie Survey

Type of Cookie | Number of Students

Chocolate Chip | 25

Oatmeal Raisins | 15

Peanut Butter | 22

Sugar | 18

A) If 160 students buy a cookie, approximately 18 students would buy a sugar cookie.

B) 22½% of the students surveyed would buy a sugar cookie.

C) If 240 students were to purchase a cookie from the store, approximately 66 students will purchase a peanut butter cookie.

D) Half of the students prefer chocolate chips or oatmeal raisin cookies.

Solution

First of, we obtain the proportion or percentages of students surveyed that buy each type of cookie.

Each of that is the number of students that buy the type of cookie in the sample divided by the Total number of students sampled.

Total number of students sampled = 25 + 15 + 22 + 18 = 80

Type of Cookie | N | proportion | %

Chocolate Chip | 25 | 0.3125 | 31.25%

Oatmeal Raisins | 15 | 0.1875 | 18.75%

Peanut Butter | 22 | 0.2750 | 27.50%

Sugar | 18 | 0.2250 | 22.50%

Now, taking the statements one by one

A) If 160 students buy a cookie, approximately 18 students would buy a sugar cookie.

Proportion of students that buy sugar cookie in the sample = 0.225

Number of students that will buy sugar cookie amongst 160 students = np = 160 × 0.225 = 36 students.

This statement is false, that is, NOT true.

B) 22½% of the students surveyed would buy a sugar cookie.

From the table, 22.5% of the students surveyed bought a sugar cookie. Hence, no matter the number of students, the percentage of students that will buy a sugar cookie will approximately be 22.5%.

This statement is True.

C) If 240 students were to purchase a cookie from the store, approximately 66 students will purchase a peanut butter cookie.

Proportion of students that buy peanut butter cookie in the sample = 0.275

Number of students that will buy peanut butter cookie amongst 240 students = np = 240 × 0.275 = 66 students.

This statement is true.

D) Half of the students prefer chocolate chips or oatmeal raisin cookies.

Proportion of students that buy chocolate chips or oatmeal raisin cookies in the sample = 0.3125 + 0.1875 = 0.50

0.50 is half of the distribution.

Hence, this statement too, is True.

Hope this Helps!!!

Answer:

-6 and 2

Step-by-step explanation: