Consider the circles shown. Circle A has a diameter of 6 centimeter. Circle B has a diameter of 25% greater than Circle A

Determine the circumference for Circle B. Use 3.14 for pi.

Answer:

The toll on a bridge is $1.00 \:for\: cars\: and\: $2.50 for trucks. In one hour, a tollbooth operator collects a total of $105 in tolls.

Equation :---

[tex]\boxed{c + 2.5t = 105}[/tex]

Above equation represents the relationship between the number of cars, c, and the number of trucks, t, which could have passed by this tollbooth.

The probability that more than one coin lands heads up is 0.9375.

In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability.

The binomial probability is [tex]^nC_xp^xq^{n-x}[/tex].

Given, Four fair coins are flipped and the number of heads that land face up are counted.

Let, 'p' be the probability of getting a head and 'q' be the probability of getting a tail,

So, p = 1/2 and q= 1/2.

Therefore, The probability that more than one coin lands heads up is,

P(X ≥ 1) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 3).

P(X ≥ 1) = [tex]^4C_1p^1q^3 + ^4C_2p^2q^2 + ^4C_3p^3q^1 + ^4C_4p^4q^0[/tex].

P(X ≥ 1) = [tex]^4C_1(1/2)^1(1/2)^3 + ^4C_2(1/2)^2(1/2)^2 + ^4C_3(1/2)^3(1/2)^1 + ^4C_4(1/2)^4(1/2)^0[/tex].

P(X ≥ 1) = 4(0.5×0.125) + 6(0.25×0.25) + 4(0.125×0.5) + 1(0.0625).

P(X ≥ 1) = 0.25 + 0.375 + 0.25 + 0.0625.

P(X ≥ 1) = 0.9375.

So, The probability of getting one or more heads is 0.9375.

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Answer:

3 feet

Step-by-step explanation:

720ft

1ft:240ft

720/240=3

3ft:720ft

701,208 is in word form is Seven hundred one thousand, two hundred eight

A number system is defined as a system of writing to express numbers.

Given that A certain comet near the sun moved through space at a rate of 701, 208 kilometers per hour

We need to write the number in sentence form

In the given number 8 is at units place

0 at tens place

2 is at hundred place

1 is at thousand place

0 is at ten thousand place

7 is at hundred thousand place

701, 208 is Seven hundred one thousand, two hundred eight

Hence, 701,208 is in word form is Seven hundred one thousand, two hundred eight

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Answer:

176

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

8+7=15

15*15=225

Answer:

225

Step-by-step explanation:

8 + 7 = 15

15² = 225

hope this helps...

Answer:

Net Amount (excluding tax)$45.29

Tax (7.0%)$3.17

Gross Amount (including tax)$48.46

Step-by-step explanation:

Please don't hate me if i'm wrong.

Answer:

48.46

Step-by-step explanation:

To find the sales tax of this you would have to multiply

$45.29*1.07=48.46

which would get you your answer

Example

You can plug it in with other things like sales tax of 9% for any number like 67.98 so you can just do

$67.98*1.09=74.10

Answer:

32

Step-by-step explanation:

Answer:

there are 12 cans

Step-by-step explanation:

6 x 2 =12

Answer:

four

Step-by-step explanation:

2 plus 2 = 4 jdhdvsjsisbebsfajwjebdnx xbdus

Step-by-step explanation:

the answer to 2 plus 2

is four

2+2=4

Answer:

I think its 108. Hope this helps!

Step-by-step explanation:

Answer:

4(x+5) I

Step-by-step explanation:

Answer:

[tex]x = -5[/tex]

Step-by-step explanation:

This is for if you are trying to solve for x. If that is not your goal, do not heed my words.

Subtract 20 from both sides.

[tex]4x + 20 = ?[/tex]

becomes

[tex]4x = -20[/tex]

Divide both sides by 4.

[tex]4x = -20[/tex]

becomes

[tex]x = -5[/tex]

And that's how you'd solve for x.

Step-by-step explanation:

I belive is choice 2 cause I only got -19 with that one

Answer: ok so I am bad at this but i would pick.....the top one

Step-by-step explanation:

Answer: Angle ABD is 39°

Step-by-step explanation:

Angle CBA is 90° (given by "box" on the corner of the right triangle)

Angle CBD is given as 51°

Subtract:

90° - 51° = 39°

Answer:

First set = 60 minutes

Second set = 66 minutes

Step-by-step explanation:

Given that:

Length of third set = 71.28 minutes ;

Third set was 8% longer than second set ;

Length of second set = x

Third set = (100% + 8%) = 108% of second set

71.28 = 1.08 * x

71.28 = 1.08x

x = 71.28 / 1.08

x = 66

Hence, second set = 66 minutes

Second set was 10% longer than the first

(100 + 10)% of first set = second set

110% of first set = second set

Let first set = y

1.1 * y = 66

1.1y = 66

y = 66 / 1.1

y = 60

Hence, first set = 60 minutes

First set = 60 minutes

Second set = 66 minutes

Answer:

Null Hypothesis:-H₀: P = 0.12

There is no difference between the percentage of volunteers selected from the college students.

Alternative Hypothesis:-H₁: P ≠ 0.12

There is a difference between the percentage of volunteers selected from the college students.

The calculated value Z = 0.5543 < 2.376 at 0.01 level of significance

The null hypothesis is accepted

There is a difference between the percentage of volunteers selected from the college students.

Step-by-step explanation:

Step(i):-

Given that the Population proportion P= 12% = 0.12

Given that the 331 randomly selected students who receive financial aid, 43 of them volunteered their time.

Sample proportion

                      [tex]p = \frac{x}{n} = \frac{43}{331} = 0.1299[/tex]

Step(ii):-

Null Hypothesis:-H₀: P = 0.12

There is a difference between the percentage of volunteers selected from the college students.

Alternative Hypothesis:-H₁: P ≠ 0.12

There is no difference between the percentage of volunteers selected from the college students.

Step(iii):-

Test statistic

        [tex]Z = \frac{p-P }{\sqrt{\frac{PQ}{n } } }[/tex]

        [tex]Z = \frac{0.1299-0.12 }{\sqrt{\frac{(0.12)(0.88)}{331 } } }[/tex]

      Z = 0.5543

Level of significance = 0.01

Critical value Z₀.₀₁ = 2.376

Final answer:-

The calculated value Z = 0.5543 < 2.376 at 0.01 level of significance

The null hypothesis is accepted

There is a difference between the percentage of volunteers selected from the college students.

Answer:

The first incorrect step would be the second, I think.

Step-by-step explanation:

You need to distribute:

2(2x+9) = 5x + 72

4x + 18 = 72

Then subtract 18 from both sides of the equation. Step 2 dosnt do this.

Next you simplify and get: 4x = 5x + 54

Subtract 5 from both sides of equation

Finally simplify and you get: -x = 54

Answer:

Solve: 2(2x + 9) = 5x + 72

Step 1: 4x + 18 = 5x + 72

Step 2: 9x + 18 = 72

Step 3: 9x = 54

Step 4: x = 6

Step 1: 4x + 18 = 5x + 72

Step 2: x + 72 = 18

Step 3: x = 18-72

Step 4: x = -54

Which is the first incorrect step in the solution shown above?

→First incorrect step in the solution shown above is Step 2.

Answer:

$8.96

Step-by-step explanation:

To find the total amount, multiply the percentage of the tip (20%) as 0.20 with 7.47

(7.47×0.20=1.494)

Add $1.49 to $7.47

(1.49+7.47=8.96)

And there is your total amount with a 20% tip!

$8.96

Answer:

[tex](8 - 3)^2 = 5^2[/tex]

Step-by-step explanation:

Given

[tex](8 - 3)[/tex]

Required

Determine the second power

The second power of an expression is the square of the expression.

So, the second power of [tex](8 - 3)[/tex] is

[tex](8 - 3)^2[/tex]

Solving further:

[tex](8 - 3)^2 = 5^2[/tex]

Hence:

Option (c) is correct

Answer:

Step-by-step explanation:

10(5k+2)

14) confused sorry

5(a+2)

4(k+3)

Answer: Numbers of servings: 10 and 13, Liters of punch: 14

Step-by-step explanation:

Number of servings - 6 = Liters of punch.

Answer:

I can see ur question but I'm not getting it is there any answers I can chose from to work it out

Answer:

8k + 5

Step-by-step explanation:

First, you need to distribute the 1/2 to everything in the parentheses.

1/2 x 6k = 3k

1/2 x 10 = 5

The new expression is now:

3k + 5 + 5k

Add like terms.

3k + 5k = 8k

The expression becomes:

8k + 5

Answer:

1. 121    

2. 59

3. 48

4. 132

5. 17

6. 34

7. 23

8. 67

Step-by-step explanation:

just had this assignment and got a 100%, hope this helps!

Answer:

Tyler's cell phone plan will cost 1,550 over the period of two years.

Step-by-step explanation:

$50 * 24 months = 1,200

1,200 + 350 = 1,550

The graph for the given condition is attached below.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, Tyler's cell phone plan costs $350 to start, then there is a $50 charge each month.

Suppose the number of months is x and the total amount is y, The obtained equation for the given condition is,

y=350+50x

We have to graph the cost of Tyler's cell phone plan over a period of two years.

1 year = 12 month

2 year = 24 month

Suppose 24 as the place of x,

y=350+50x

y=350+50(24)

y=350+1200

y=1550

Thus, the graph for the given condition is attached below.

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Answer:

The answer is below

Step-by-step explanation:

The possible outcome from rolling two dice is:

1,1      1,2      1,3     1,4      1,5     1,6

2,1     2,2     2,3    2,4     2,5    2,6

3,1     3,2     3,3    3,4      3,5    3,6

4,1     4,2     4,3     4,4     4,5     4,6

5,1     5,2     5,3     5,4     5,5     5,6

6,1     6,2     6,3     6,4     6,5     6,6

The total number of outcomes = 36

a)

P(sum of 5) = 4/36, P(sum of 6) = 5/36, P(sum of 7) = 6/36

Hence:

P(sum of 5 or sum of 6, or sum of 7) = P(sum of 5) + P(sum of 6) + P(sum of 7) = 4/36 + 5/36 + 6/36

P(sum of 5, 6, or 7) = 15 / 36

b)

P(doubles) = 6/36, P(sum of 6) = 5/36, P(sum of 8) = 5/36

Hence:

P(doubles or sum of 6 or sum of 8) = P(doubles) + P(sum of 6) + P(sum of 8) = 6/36 + 5/36 + 5/36

P(doubles or sum of 6 or sum of 8) = 16 / 36

c)

P(sum greater than 8) = 10/36, P(sum lesser than 3) = 1/36

P(sum greater than 8 or less than 3) = P(sum greater than 8) + P(sum lesser than 3) = 10/36 + 1/36

P(sum greater than 8 or less than 3) = 11 / 36

Part c has the least probability of occurrence, hence c is least likely to occur.