a. How many ways can the letters of the word ALGORITHM be arranged in a row?
b. How many ways can the letters of the word ALGORITHM be arranged in a row if A and L must remain together (in order) as a unit?
c. How many ways can the letters of the word ALGORITHM be arranged in a row if the letters GOR must remain together (in order) as a unit?

Answer:

120

Step-by-step explanation:

you would do length times width equals area. First you would multiply 8 by 15 which would give you 120 square feet. So Maragaret would be covering 120 square feet with paint

Answer:

7a + 3 -3 =45 - 3

7a + 0 = 42

7a = 42

7a/7 = 42/7

a = 6

Answer:

The null hypothesis is  [tex]H_o: \mu_1 = \mu_2[/tex]

The  alternative hypothesis is  [tex]H_1 : \mu_1 \ne \mu_2[/tex]

The test statistics is  [tex]t = -1.667[/tex]

Step-by-step explanation:

From the question we are told that

  The first sample size is  [tex]n_1 = 12[/tex]

   The  first sample  mean is  [tex]\= x_1 = 79.8[/tex]

    The first standard deviation is  [tex]\sigma _1 = 8.8[/tex]

   The second sample  size is  [tex]n_2 = 17[/tex]

    The  second  sample  mean is  [tex]\= x_2 = 85.2[/tex]

    The second  standard deviation is  [tex]\sigma _2 = 8.3[/tex]

The null hypothesis is  [tex]H_o: \mu_1 = \mu_2[/tex]

The  alternative hypothesis is  [tex]H_1 : \mu_1 \ne \mu_2[/tex]

Generally the test statistics is  mathematically represented as  

                 [tex]t = \frac{\= x_ 1 - \= x_2 }{ \sqrt{ \frac{\sigma_1^2 }{n_1 } +\frac{\sigma_2^2 }{n_2} } }[/tex]

   =>          [tex]t = \frac{ 79.8 - 85.2 }{ \sqrt{ \frac{8.8^2 }{12} +\frac{ 8.3^2 }{17} } }[/tex]

=>                [tex]t = -1.667[/tex]

Answer:

Step-by-step explanation:

Standard error of the mean is expressed as shown below.

SE = S/√n where;

S is the standard deviation

n is the sample suze

Given parameters

Standard deviation = $23.90

sample size = 13

Required

Standard error of the mean for this distribution.

Substituting the given value into the formula we have;

SE = 23.90/√13

SE = 23.90/3.6056

SE = 6.6286

Hence the approximate standard error of the mean for this sample is 6.63

Answer:

Step-by-step explanation:

Since angles R and S are supplementary angles it means that the sum of their angles add up to 180°

To find R we must first find x

To find x , add angles R and S and equate them to 180

That's

R + S = 180

80 - x + 3x - 30 = 180

2x + 50 = 180

2x = 180 - 50

2x = 130

Divide both sides by 2

x = 65°

From the question

R = 80 - x

But x = 65°

Substitute the value of x into the expression

That's

R = 80 - 65

We have the final answer as

Hope this helps you

Answer:

10 and 11

Step-by-step explanation:

Let the first integer be x.

Then the next one, since it's consecutive, must be (x+1).

The two equals 21. Thus:

[tex](x)+(x+1)=21[/tex]

Combine like terms:

[tex]2x+1=21[/tex]

Subtract 1 from both sides:

[tex]2x=20[/tex]

Divide both sides by 2:

[tex]x=10[/tex]

So, the first integer is 10.

And the second integer is 10+1=11.

Answer:

10 , 11

Step-by-step explanation:

The sum of two consecutive integers is 21.

Let the least of the integer be signified by the variable x.

Consecutive means "directly after", which means the other integer would be: x + 1

Set the equation:

(x) + (x + 1) = 21

Simplify. Combine like terms:

x + x + 1 = 21

(x + x) + 1 = 21

2x + 1 = 21

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 1 from both sides:

2x + 1 (-1) = 21 (-1)

2x = 21 - 1

2x = 20

Next, divide 2 from both sides:

(2x)/2 = (20)/2

x = 20/2

x = 10

Plug in 10 for x in the equation:

(x) + (x + 1) = 21

10 + (10 + 1) = 21

10 + 11 = 21

21 = 21 (True)

The two numbers are 10, 11.

~

Answer:

A.

Step-by-step explanation:

All you have to do is convert all those fractions to 20.

So 3/4 will be 15/20, 3/10 would be 6/20, 4/5 would be 16/20 and 1/2 would be 10/20. It could be a or b. Does it say select all possible answers?

hope it helps I tried my best

Answer:

quadrilateral,parallelogram

Step-by-step explanation:

A quadrilateral is a four-sided polygon.

A parallelogram is a quadrilateral with two sets of parallel sides, much like a rectangle, but with no right angles.

Answer:

(-7,14,21,42)

Step-by-step explanation:

(-7,-4,2,14,21,34,42)

-7 = 7*-1  yes

14 = 7*2  yes

21 = 7 *3  yes

42 = 7*6  yes

Answer:

[tex]\huge\boxed{(-7,14,21,42)}[/tex]

Step-by-step explanation:

Let's check which multiples are of 7:

-7 => 7 × -1   [A multiple of 7]

-4 => Not a multiple of 7

2 => Not a multiple of 7

14 => 2 × 7    [A multiple of 7]

21 => 3 × 7    [A multiple of 7]

34 => Not a multiple of 7 [Doesn't come in the table of 7]

42 => 6 × 7   [A multiple of 7]

So, the multiples of 7 are:

(-7,14,21,42)

Answer:

Step-by-step explanation:

(500 x 4) + (50 x 4) + (4 x 2)

2000 + 200 + 8

2208 is the solution

Answer:

Step-by-step explanation:

distance covered in 9 hours = 828 km

therefore, distance covered in 1 hour = 828 / 9

= 92 km

Hope this helps

plz mark as brainliest!!!!!

Answer:

Step-by-step explanation:

Hello,

A train cover 828 km in 9 hours what distance will it covers in 1 hour

828 km => 9 hours

? km => 1 hour

= 1 x 828 / 9

= 92 km

I used a highly analytical formula to find out that the simplified formula to this complex equation is indeed:

4

Answer:

4

Step-by-step explanation: You cant simplify five, and if you do want to make 5 in to a fraction it's 5/1

5/1 simplifyed it 5

5-1=4

Answer:

[tex]x = -\frac{5}{7}, 2[/tex]

Step-by-step explanation:

To solve this equation, we need to simplify it down first. To do this, we must apply the distributive property to each term.

[tex]7x(x-2) + 5(x-3) = -5\\\\(7x^2 - 14x) + (5x - 15) = -5[/tex]

Now we can combine like terms.

[tex]7x^2 - 9x - 15 = -5[/tex]

Add 5 to both sides:

[tex]7x^2 -9x - 10 = 0[/tex]

We can see that this is a quadratic equation, in the form [tex]ax^2 + bx + c[/tex]. To solve for x, we must use the Quadratic Formula, which is [tex]\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex], where a is 7, b is -9, and c is -10.

Substitute inside the equation:

[tex]\frac{-(-9)\pm\sqrt{-9^2-4\cdot7\cdot-10}}{2\cdot7}\\\\\frac{9\pm\sqrt{81+280}}{14}\\\\\frac{9\pm19}{14}\\\\(9+ 19)\div14 = 2\\\\(9 - 19)\div14 = -\frac{5}{7}[/tex]

Hope this helped!

Answer:

Brianliest!

Step-by-step explanation:

simplify

7x^2-14x+5x-15 = -5

7x^2 - 9x - 10

x= 1

x = -0.7142857143

Answer: If a number is rational, it can be represented as a simple fraction, it can be written as a terminating decimal, and a repeating decimal.

If a number is irrational, it cannot be represented as a simple fraction, it cannot be written as a terminating decimal, and not as a repeating decimal. It never ends, never repeats, just like the constant pi.

Step-by-step explanation:

So if a number is rational, it can be represented as a simple fraction, it can be written as a terminating decimal, and a repeating decimal.

If a number is irrational, it cannot be represented as a simple fraction, it cannot be written as a terminating decimal, and not as a repeating decimal. It never ends, never repeats, just like the constant pi.

Answer:

Environment

Step-by-step explanation:

Level of measurement used in statistics summarizes what statistical analysis that is possible. We have three types of level of measurement.

Nominal Scale

Ordinal Scale

Interval/ Ratio Scale

The nominal scale known as categorical or qualitative is the most basic level of measurement. Examples include numbers, colour, sex.

Ordinal are variables categorize according to hierarchy they usually have a meaningful order, but the intervals between the variables may not be equal.

In interval/ratio level of measurement, are measured and ordered. Examples are weight or size.

From the given question, it is only the environment that is measured using a nominal scale.

Age group is ordinal because it can be ordered based on hierarchy.

Answer:

Option D.

Step-by-step explanation:

It is given that, graph of j(x) transformed in the graph of j(4x) – 27.

We need to find the transformations.

Consider the new function is

[tex]f(x)=j(4x)-27[/tex]          ... (1)

The translation is defined as

[tex]f(x)=j(kx+a)+b[/tex]                ... (2)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<k<1, then the graph stretched horizontally by factor of 1/k and if k>1, then the graph compressed horizontally by factor of 1/k.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

k=4>1, the graph j(x) compressed horizontally by factor of 1/4.

a=0, so there is no horizontal shift.

b=-27<0, so the graph of j(x) shifts 27 units down.

So, the required transformations are horizontal compression by a factor of 1/4, and a translation 27 units down.

Therefore, the correct option is D.

Answer:

D) horizontal compression by a factor of 1/4, and a translation 27 units down

Step-by-step explanation:

got it right on edge :)

The closest answer I got was D. Add 4,585.92+3,278, because he initial deposited the money into the bank.

Answer:

-19

Step-by-step explanation:

10-3-2+4

= -3 -2 +4 +10

= -10

Answer:

-45

Step-by-step explanation:

Answer:

((−5)(−3))(−3)

=−45

hope this was helpful!

Answer:

R= $1,133/100(7+1)

=234.86 RS.

Step-by-step explanation:

percentile rank is the percentage of scores that shall be equal to or less than a given value. The percentage falls within the range of 0 to 100. To find out the percentile rank, we used the formula:

R= P/100(N+1). Where R is the percentile rank, p is a percentile and N number of items.

Let for round trip airfare; the percentile is $1,133. And the number of days for the trip is 7.put these values in the formula, we have

R= $1,133/100(7+1)

=234.86 RS.

Answer:

Three times a number is 3n.  Nine less than that is 3n-9.  This is NOT the same thing: 9-3n.  Subtraction is not commutative.  If n was 1, for example, 3(1)-9=-6.  Looking at the other expression, 9-3(1)=6.  6 and -6 are definitely not the same number.  So be careful how you set up your expression.  Our inequality then would be

Step-by-step explanation:

Answer:

[tex]Sum=4*[\frac{n^2-1}{n^2}][/tex]

For n=10:

Sum=3.96

For n=100:

Sum=3.9996

For n=1000:

Sum=3.999996

For n= 10000:

Sum=3.99999996

Step-by-step explanation:

Formula:

[tex]\sum_{k=1}^n \frac{12k(k-1)}{n^3}[/tex]

Rearranging the above formula:

[tex]\sum_{k=1}^n \frac{12}{n^3}*k(k-1)\\\sum_{k=1}^n \frac{12}{n^3}*(k^2-k)[/tex]            Eq (1)

According to summation formula:

[tex]\sum_{k=1}^n\ k= \frac{n(n+1)}{2}\\ \sum_{k=1}^n\ k^2= \frac{n(n+1)(2n+1)}{6}\\[/tex]

Putt these in Eq (1), and we will get:

[tex]=\frac{12}{n^3}[\frac{n(n+1)(2n+1)}{6}-\frac{n(n+1)}{2}]\\Taking\ n\ as\ common\\=n*\frac{12}{n^3}[\frac{(n+1)(2n+1)}{6}-\frac{(n+1)}{2}] \\=\frac{12}{n^2}*[\frac{(n+1)(2n+1)}{6}]-\frac{12}{n^2}*[\frac{(n+1)}{2}] \\=\frac{2*(n+1)(2n+1)}{n^2}-\frac{6(n+1)}{n^2}\\[/tex]

Taking [tex]2(n+1)[/tex] as common:

[tex]=2(n+1)*\frac{2n+1-3}{n^2} \\=(2n+2)*\frac{2n-2}{n^2}\\=\frac{4n^2-4}{n^2}[/tex]

After more simplifying,

[tex]Sum=4*[\frac{n^2-1}{n^2}][/tex]

Now ,for n=10:

[tex]Sum=4[\frac{(10^{2})-1}{10^{2}}]\\Sum=3.96[/tex]

For n=100:

[tex]Sum=4[\frac{(100^{2})-1}{100^{2}}]\\Sum=3.9996[/tex]

For n=1000

[tex]Sum=4[\frac{(1000^{2})-1}{1000^{2}}]\\Sum=3.999996[/tex]

For n=10000:

[tex]Sum=4[\frac{(10000^{2})-1}{10000^{2}}]\\Sum=3.99999996[/tex]

Answer:  3.6

Step-by-step explanation:

To find the distance, find the difference in the x and y coordinates then square them to add them and find the square root of that number you get after you added it.

x coordinate:  5 - 7 = -2

y coordinate:   5-2 =  3

2^2 + 3^2 = c^2   where  c is the length

4 + 9 = c^2

13 =c^2

c = [tex]\sqrt{13}[/tex]  

c= 3.605  rounded to the nearest tenth  is 3.6

[tex]{Option: A}[/tex]

What is a unit rate?

=> A rate that has a 1 as its denominator.

Answer:

If x=6 and y=5 and we are to find y when x=3.

it will be 6=5,3=y....

5×3=6×y.

y=15/6=2.5 or 2 whole number 1/2.

This is the answer I hope it helps

Answer:

its c The additive inverse is positive, while the multiplicative inverse is negative.

Step-by-step explanation:

The additive inverse is positive, while the multiplicative inverse is negative.

a relationship between two expressions or values that are not equal to each other is called 'inequality.

A relation is a function if it has only One y-value for each x-value.

The given function is f(x) = –(x – 3)²(x + 2)

Function equal to minus x minus three whole square times of x plus two.

as x>3, the values of x will be positive.

So the additive inverse is positive, while the multiplicative inverse is negative.

Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0.

A multiplicative inverse or reciprocal for a number x, denoted by 1/x.

Hence, the additive inverse is positive, while the multiplicative inverse is negative.

To learn more on Inequality click:

https://brainly.com/question/28823603

#SPJ2

Answer:

a)   PQ = 12.2

b)   M (-1, 2.5)

Step-by-step explanation:

a) PQ

use pythagorean PQ = [tex]\sqrt{(6+4)^2 +(6+1)^2}[/tex]

PQ = [tex]\sqrt{149}[/tex] = 12.2

b) Midpoint

Mx = (-6 + 4)/2 = -1

My = (6 + -1)/2 = 2.5

Answer:

[tex]\Huge \boxed{\mathrm{a) \ 12.21}} \\\\\\\\ \huge \boxed{\mathrm{b) \ -1, \ \frac{5}{2}}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

We can use Pythagorean theorem to solve for the length of PQ.

[tex]PQ=\sqrt{10^2 +7^2 }[/tex]

[tex]PQ=\sqrt{149} \approx 12.2066[/tex]

The length of PQ is approximately 12.21.

We can find the midpoint with the midpoint formula:

[tex]\displaystyle \frac{x_1 + x_2 }{2}, \ \frac{y_1+y_2}{2}[/tex]

[tex]\displaystyle \frac{-6+4 }{2}, \ \frac{6+-1}{2}[/tex]

[tex]\displaystyle \frac{-2 }{2}, \ \frac{5}{2}[/tex]

[tex]\displaystyle -1, \ \frac{5}{2}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

(-3,0) and (1,0)

Step-by-step explanation:

The x-intercepts of the function that is graphed above are the points where the line of the graph intercepts or crosses the y-axis. At that point, y is always 0.

Thus, the line of the graph intercepts the x-axis at x = -3, when y = 0 (-3, 0), and also at x = 1, when y = 0 (1, 0).

Therefore, the x-intercepts of the graphed function are (-3,0) and (1,0).

Answer:

1/4 OF FLOUR IS USED FOR EACH CAKE

Step-by-step explanation:

[tex]\frac{3}{4} X 6[/tex]=4.5

[tex]\frac{4.5}{6}[/tex]=0.75