Write as a percent 61/2. Round to the nearest tenth of a percent

4 minutes is equivalent to 240 seconds.

There is 60 seconds in a minute.

60x4 = 240.

Answer:

240 Seconds.

Step-by-step explanation:

1 Minute is 60 Seconds, SO 4 x 60 = 240!

Answer:

37.5x

Step-by-step explanation:

Answer:

k < - 1

Step-by-step explanation:

28 + 3k < 5(-3-8k)

28 + 3k < - 15 - 40k

28 + 15 < - 40k - 3k

43 < - 43k

43/- 43 > k (switch signs because 43 is negative)

k < -1

Answer:

0.0105 = 1.05% probability that no more than 3 of the entry forms will include an order.

Step-by-step explanation:

For each entry form, there are only two possible outcomes. Either it includes an order, or it does not. The probability of an entry including an order is independent of any other entry, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

The Magazine Mass Marketing Company has received 16 entries in its latest sweepstakes.

This means that \(n = 16\)

They know that the probability of receiving a magazine subscription order with an entry form is 0.5.

This means that \(p = 0.5\)

What is the probability that no more than 3 of the entry forms will include an order?

At most 3 including an order, which is:

\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)\)

In which

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{16,0}.(0.5)^{0}.(0.5)^{16} \approx 0\)

\(P(X = 1) = C_{16,1}.(0.5)^{1}.(0.5)^{15} = 0.0002\)

\(P(X = 2) = C_{16,2}.(0.5)^{2}.(0.5)^{14} = 0.0018\)

\(P(X = 3) = C_{16,3}.(0.5)^{3}.(0.5)^{13} = 0.0085\)

Then

\(P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0 + 0.0002 + 0.0018 + 0.0085 = 0.0105\)

0.0105 = 1.05% probability that no more than 3 of the entry forms will include an order.

Answer:

66

Explanation:

By the Thales theorem, if we have the following figure:

Then, the following equation applies:

So, in this case, we can formulate the following equation:

Then, solving for x, we get:

Therefore, the value of x is 66.

Answer:

$15,712.20

Step-by-step explanation:

First you convert the percentage to decimal form out of 100 (which you divide)

8.7%/100 =  0.087

A = P(1 + rt)

A = $90,300(1 + 0.087 * 2)     ( * = multiplication)

I = $106,012.20 - $90,300= $15,712.20

Which you should get $15,712.20

Hope this helps!

Answer:

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

Given system:

Add up the two equations to get same coefficient on both variables:

As we see none of the choices match the answer. It means either question or answer choices are inaccurate.

Answer: C

Step-by-step explanation:

School A-

Total Score =19+19+19+20+20+20+20+21+21+21+21+21+21+22+22+22+22+22+22+23+24+24+26+27+29+30+31+32+33+34=708

No. of students = 30

Mean = 708/30 = 23.6

School B-

Total Score =17+18+19+20+20+20+21+21+21+21+22+22+22+22+22+22+23+23+23+24+24+25+25+26+26+27+27+28+29+31=691

No. of students = 30

Mean = 691/30 = 23.03

So, the third option is correct: The mean score for the sample from school A is greater than the mean score for the sample from school B.

Answer: Well, everyone hide and they call the police to solve that kidnapping problem at school

Step-by-step explanation:

Answer:

Therefore, the constant of proportionality for the given proportional relationship is 5.

Step-by-step explanation:

To determine the constant of proportionality in the given proportional relationship, we can use the formula:

Constant of Proportionality = Tickets / Games

Let's plug in the values from the table:

For the first set of values (4 games and 20 tickets):

Constant of Proportionality = 20 / 4 = 5

For the second set of values (7 games and 35 tickets):

Constant of Proportionality = 35 / 7 = 5

For the third set of values (10 games and 50 tickets):

Constant of Proportionality = 50 / 10 = 5

In all three cases, the constant of proportionality is equal to 5.

Therefore, the constant of proportionality for the given proportional relationship is 5.

We have shown that C is the image of A by dilation with center B and ratio 3.

Now, To show that C is the image of A by dilation with center B and ratio 3, we need to follow these steps:

Firstly, Find the vector AB by subtracting the coordinates of B from the coordinates of A:

AB = A - B = (6 - 3, 4 - 7) = (3, -3)

Multiply the vector AB by the dilation ratio of 3:

3 AB = 3 (3, -3)  = (9, -9)

Add the resulting vector to the coordinates of the center B:

BC = B + 3 AB = (3, 7) + (9, -9)

BC = (12, -2)

Hence, Compare the resulting point BC to the coordinates of C to show that they are the same:

BC = (12, -2) = C

Therefore, we have shown that C is the image of A by dilation with center B and ratio 3.

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Answer:

3.714

Step-by-step explanation:

because you divide

26 divided by 7 is equal to 3, with a remainder of 5. In mathematical notation, it can write it as 26 ÷ 7 = 3 R 5.

The division is given as:

26 ÷ 7

To determine this, we start by dividing the first digit of 26, which is 2, by 7. Since 2 is less than 7, we carry down the next digit, which is 6, and consider it as part of the dividend.

Now, we have 26 as our new dividend.

We divide 7 into 26, and it goes 3 times (7 × 3 = 21). We subtract 21 from 26, which leaves us with a remainder of 5.

Therefore, 26 divided by 7 is equal to 3, with a remainder of 5. In mathematical notation, we can write it as 26 ÷ 7 = 3 R 5.

The quotient 3 represents the whole number of times 7 can be divided into 26, and the remainder 5 indicates the extra amount that is left over.

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Answer:

(2x + 3) • (x + 2) • (x - 1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

So we know that the average of numbers is all of the numbers added up and divided by the total amount of numbers.

      2721

   + 2557

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

       5278

.... AND SO ON.........

=14,894 is all of the number added together!!!

Then we count up the numbers= 5

       14,894/5

=2978.8

I hope this helps!!!

The expressions are simplified to;

1. 5x + 11

2. x - 11

3. x - 11y

4. 4x + 20

5. 5x² - y²

6. 5x² - 5y² - 5y

7. -12y²

8. 4x + 20

9. 4x - 20

10. 8x² - 20xy

To simply the algebraic expression, we have to expand the bracket, collect the like terms and then add or subtract them.

From the information given, we have that;

1. 3x + 5 + 2x + 6

collect and add like terms

5x + 11

2. 3x - 5 - 2x - 6

collect and add the like terms

x - 11

3. 3x - 5y - 2x - 6y

collect and add the like terms

x - 11y

4. 6x + 12 - 2x + 8

collect and add the like terms

4x + 20

5. 3x² + 5y² + 2x² - 6y²

collect and add the like terms

5x² - y²

6. 3x² - 5y² + 2x² - 6y

collect and add the like terms

5x² - 5y² - 5y

7. 6x³ - 10y³ + 4x³ - 12y²

collect and add the like terms

-12y²

8. 6(x + 2) - 2(x - 4)

expand the bracket

6x + 12 - 2x + 8

4x + 20

9. 6(x - 2) - 2(x + 4)

expand the bracket

6x - 12 - 2x - 8

4x - 20

10. 6x(x - 2y) + 2x(x - 4y)

expand the bracket

6x² - 12xy + 2x² - 8xy

8x² - 20xy

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The slope of the line that passes through (0, 5) and (8, 2) is -3/8

From the question, the points are given as

(0, 5) and (8, 2)

Rewrite the above points properly

So, we have the following ordered pairs

(x, y) = (0, 5) and (8, 2)

The slope of the line is then calculated using the following slope equation

Slope = (y₂ - y₁)/(x₂ - x₁)

Where

(x, y) = (0, 5) and (8, 2)

Substitute the known values in the above equation

So, we have the following equation

Slope = (2 - 5)/(8 - 0)

Evaluate

Slope = -3/8

Hence, the slope of the line is -3/8

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9514 1404 393

Answer:

  x -y = -5

  3x +y = -11

Step-by-step explanation:

We assume you want two linear equations. Since you know a point on each line, the only thing you need to choose is the slope of the two lines through that point. We can make the slopes be +1 and -3, for example. Then the point-slope equations are ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

 y -1 = +1(x +4)

  y -1 = -3(x +4)

We can use these equations "as is", or put them in whatever form you like. I personally prefer "standard form:" ax+by=c.

First equation:

  y -1 = x +4 . . . . . . eliminate parentheses

  -5 = x -y . . . . . . . keep positive x term, put x and y together, separate from the constant

  x - y = -5 . . . . . . standard form

Second equation:

  y -1 = -3x -12 . . . . eliminate parentheses

  3x +y = -11 . . . . . . add 3x+1 to both sides

__

A system of equations with solution (-4, 1) is ...

Answer:

4 boxes

Step-by-step explanation:

20/5 is 4 therefore 4 boxes with 5 in each

Answer:

20/5 = 4

Step-by-step explanation:

She needs 4 boxes

Hi, I believe the answer here is,

Subtract their absolute values and keep the sign of the integer with the greater absolute value

Answer:

342 + D = 90

Step-by-step explanation:

We can deduce the following from the statement;

- D is added to 342 so as to make it greater.

- The resulting value is the same as 90 i.e equal in value to 90.

Translating the word problem into an algebraic expression, we have;

342 + D = 90

Answer:

$2.06

Step-by-step explanation:

$2.99 x 6 = $17.94

$20.00 - $17.94 = $2.06

Hope this helps

Answer: $0.26

Step-by-step explanation:

Cost of 6 pens

= 2.99 x 6

= 17.94

Add sales tax at 10%,

= 17.94 x 1.1

= 19.74

Change due to me

= 20 - 19.74

= 0.26

Answer:

85.36 far north from the center

10.36 far east from the center

Step-by-step explanation:

The extra direction taken in the north side is x

X/sin(360-315)=50/sin 90

Sin 90= 1

X/sin 45= 50

X= sin45 *50

X= 0.7071*50

X= 35.355 steps

X= 35.36

Then the west direction traveled

West =√(50² - 35.355²)

West = √(2500-1249.6225)

West= √1250.3775

West= 35.36 steps

But this was taken in an opposite west direction

From the center

He is 35.36 +50

= 85.36 far north from the center

And

25-35.36=-10.36

10.36 far east from the center

Around 57%

17 / 30 = .56666666...

Move two decimal places to the left;

56.66666...

Estimate: 57%

Answer:

43.33%

Step-by-step explanation:

30 - 17 = $13

% discount = 13*100 / 30

= 43.33%

Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts

Step-by-step explanation:

Answer:

22 hours (B)

Step-by-step explanation:

John's velocity = 55mph

Sally's velocity = 65mph

John's time taken = x

Sally's time taken = x - 4

since they must cover the same distance.

and, distance = vel × time

Sally's vel × time = John's vel × time

55x = 65(x-4)

55x = 65x - 220

-10x = -220

x = 22 hours.

Therefore, Sally catches up after 22 hours

11.- it's a relation, because one "x" is repeated

12.- it's a function, because there is no repeated "x"

Answer:

0=0  1=1   2=0  3=0  4=1   5=3   6=1   7=0   8=0   9=1   10=2   11=1   12=2   13=0   14=0   15=3   16=0

Step-by-step explanation:

There was no question so here above is the Dollars spent graph in numbers not dots!

Correct Option is,

D) Buy, because the expected rate is greater than the required rate.

Now, Based on the information you've provided,

To calculate the required rate of return, we can use the SML formula as;

Required rate of return = risk-free rate + beta x (expected market return - risk-free rate)

Plugging in the numbers, we get:

Required rate of return = 8% + 0.85 x (16% - 8%)

                                   = 14.6%

Since the expected rate of return for Stock S is,

= dividend yield + growth rate

= (1.1 / 22 + 8%),

= 9.4%

which is higher than the required rate of return of 14.6%,

Here, the stock is undervalued and would be a good buy.

Therefore, the answer is, option D) Buy, because the expected rate is greater than the required rate.

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It is a convergent series as both component series are geometric with ratios less than 1, so they both converge. The sum is 7/15.

If the sequence is converging (or converges), the series is convergent. The total of its partial sums tends to a limit; that is, while adding one after the other in the sequence specified by the indices, partial sums move closer and closer to a particular number. A divergent series is an infinite series that is not convergent, which means that the infinite sequence of the series' partial sums has no finite limit. If a series converges, the series' individual terms must approach zero.

Here,

sum(3/4ⁿ)₁₋ₓ  -  sum(1/2⁴ⁿ⁺¹)₁₋ₓ

sum(3/4ⁿ)₁₋ₓ=1

sum(1/2⁴ⁿ⁺¹)₁₋ₓ=8/15

=1-8/15

=7/15

It is a convergent series since both component series are geometric and have ratios smaller than one. The total is 7/15.

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Answer:

The answer tot he question provided is 5.

Step-by-step explanation:

→ Angle D and Angle B are congruent to each other, which means that they are equal.

→ The equation would look like:

\(2x + 4 = 4x - 6\)

→ Solve the equation.

\(2x + 4 = 4x - 6 \\ \frac{ - 4x \: \: \: \: = - 4x \: \: \: \: \: \: \: \: \: }{ - 2x + 4 = - 6} \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: - 4 = - 4}{ \frac{ - 2x}{ - 2} = \frac{ - 10}{ - 2} } \\ x = 5\)

→ The value of x results in being 5.