is 0.007 times 10 equivalent to 0.07

Answer:

(a) 1,411,200.

(b) 302,400.

(c) 100,800.

(d) 1,008,000.

Step-by-step explanation:

Permutation is the number of ways to select k items from n distinct items in a specific order.

The formula to compute the permutation or arrangement of k items is:

[tex]^{n}P_{k}=\frac{n!}{(n-k)!}[/tex]

(a)

Compute the total number of schedules as follows:

[tex]\text{Total Number of Schedules}=\ ^{8}P_{4}\times \ ^{7}P_{4}[/tex]

                                          [tex]=\frac{8!}{(8-4)!}\times \frac{7!}{(7-4)!}\\\\=\frac{8\times 7\times 6\times 5\times 4!}{4!}\times \frac{ 7\times 6\times 5\times 4\times 3!}{3!}\\\\=(8\times 7\times 6\times 5)\times (7\times 6\times 5\times 4)\\\\=1411200[/tex]

Thus, the total number of schedules are, 1,411,200.

(b)

Compute the number of schedules that includes neither sister as follows:

If neither of sister are included in the schedule then the number of players from the team are 7 and 6 respectively.

[tex]\text{Number of Schedules without the sisters}=\ ^{7}P_{4}\times \ ^{6}P_{4}[/tex]

                                                               [tex]=\frac{7!}{(7-4)!}\times \frac{6!}{(6-4)!}\\\\=\frac{ 7\times 6\times 5\times 4\times 3!}{3!}\times \frac{ 6\times 5\times 4\times 3\times 2!}{2!}\\\\=(7\times 6\times 5\times 4)\times (6\times 5\times 4\times 3)\\\\=302400[/tex]

Thus, the number of schedules that includes neither sister is 302,400.

(c)

Compute the number of schedules including both sisters and have them playing against each other as follows:

If both the sisters are playing against each other then there will be three more places to be filled in both the teams.

And the two sisters can play in any of the 4 matches.

[tex]\text{number of schedules including} \\\text{both sisters against each other}=(\ ^{7}P_{3}\times \ ^{6}P_{3})\times 4[/tex]

                                                [tex]=[\frac{7!}{(7-3)!}\times \frac{6!}{(6-3)!}]\times 4\\\\=[\frac{ 7\times 6\times 5\times 4!}{4!}\times \frac{ 6\times 5\times 4\times 3!}{3!}]\times 4\\\\=[(7\times 6\times 5)\times (6\times 5\times 4)]\times 4\\\\=100800[/tex]

Thus, the number of schedules including both sisters and have them playing against each other is 100,800.

(d)

Compute the number of schedules including both sisters as follows:

[tex]\# \text {Schedules with the Sisters}=\text{Total}\ \#\ \text{Schedules }-\ \# \text {Schedules without the Sisters}[/tex]                                             [tex]=1411200-302400\\=1108800[/tex]

Now compute the number of schedules having the sisters playing in different matches as follows:

[tex]\text{Playing in Different Matches}=\# \text {Schedules with the Sisters}-\text{Playing together}[/tex]

                                              [tex]=1108800-100800\\=1008000[/tex]

Thus, the number of schedules including both sisters, but have them playing in different matches is 1,008,000.

Answer:

490 is the answer of the 7units of area

Step-by-step explanation:

mark me BRAINLIEST

Answer:

1/9 or 11.11%

Step-by-step explanation:

On a standard die, there are two numbers greater than 4, 5 and 6. 5 and 6 make up 2/6 of a die, or 1/3. So the probability of getting 5 or 6 once is 1/3 then to find the probability of doing it twice in a row, multiply 1/3 by 1/3( its the same number because there is no innate difference in the rolls). 1/3*1/3=1/9.  

Answer:

x = 14

Step-by-step explanation:

[tex]f(x) = 10 - \frac{9}{2} x \\ \\ plug \: f(x) = - 53 \\ \\ - 53 = 10 - \frac{9}{2} x \\ \\ \frac{9}{2} x = 10 + 53 \\ \\ \frac{9}{2} x = 63 \\ \\ x = 63 \times \frac{2}{9} \\ \\ x = 7 \times 2 \\ \\ x = 14[/tex]

Answer:

A. -25x + 7

Step-by-step explanation:

First, to answer this question, we will combine the two sides of the equation:

(-9x + 13) + (-16x - 6)

Now, we take away the parentheses and add like terms:

-9x + 13 + -16x - 6 =

-25x + 7

So, the answer would be A. -25x + 7

Hope this helps :)

Answer:

85.02 feet

Step-by-step explanation:

In order to solve this we need to use Herons formula to discover the Area of the triangle and then solving the formula of the area to find the height.

Herons formula starts by calculating the semi-perimeter which is half the perimeter of the Triangle:

[tex]s=\frac{a+b+c}{2}\\ s=\frac{127+93+132}{2}\\s=176[/tex]

Now that we knwo that s= 176 we need to use the second part of the formula:

[tex]A=\sqrt{(S-A)(S-B)(S-C)} \\\\A=\sqrt{(176-127)(176-93)(176-132)}\\A=\sqrt{176(49)(83)(44)} \\A=5612.02[/tex]

So the area is 5612.02, with that we just have to solve the equation for area, which is [tex]A=\frac{B*H}{2}[/tex]

So it would be 2A*B=H

H=2*5612.02*132

H=85.03

Answer:

1.1 Pull out like factors

6x+3= 3•(2x+1)

2.1 This equation has no solution

A non-zero constant never equals zero

2.2 Solve: 2x+1=0

Subtract 1 from both sides of the equation: 2x= -1

Divide both side of the equation by 2

x= -1/2= -0.500

Answer:

a

Step-by-step explanation:

Answer:

6/n^2

Step-by-step explanation:

I'm assuming it's an expression.

Answer:

21111

Step-by-step explanation:

2222

Answer:

the answer is number 4 because you just put all of them in parenthesis

Answer:

- John is vertical to georgia

- John is alternate exterior to phillip

- Georgia is corresponding with Phillip

Step-by-step explanation:

Well, these rules are all properties of two lines and a transversal. This means following each of the individual rules, the answers above are derived.

Answer:

for x is 8 and for y is 20

Step-by-step explanation:

because i subtitute and then you multiply and you divide and thats how you get your answer i hope it helps:)

The fraction that is equal to 6 can be some of the following:

[tex]\mathbf{\dfrac{6}{1} \ ; \dfrac{12}{2} \ ; \dfrac{18}{3} \ ; \ \dfrac{24}{4}\ ; \ \dfrac{36}{6} }[/tex]

A fraction usually comprises a numerator and a denominator separated by a division line.

The factors of a given number are the numbers that can be divided in such a given number without a remainder.

From the given example, we are to determine the factors of 6, so we will think about a number that can be divided by 6 without leaving any remainder.

These numbers are:

From these numbers, we can pick two factors that when divided together, we get 6 as our result and without any remainder.

i.e.

The fraction that is equal to 6 are:

[tex]\mathbf{\dfrac{6}{1} \ ; \dfrac{12}{2} \ ; \dfrac{18}{3} \ ; \ \dfrac{24}{4}\ ; \ \dfrac{36}{6} }[/tex]

Learn  more about fractions here:

https://brainly.com/question/6201432?referrer=searchResults

Answer:

exact form:

9/2

decimal form:

4.5

mixed number form:

4 1/2

Step-by-step explanation: sorry if this wasnt what you were looking for.

Answer:

since they have the same y value, your equation is just y=9

I hope this helps!

Answer:

30-40=-10

-10x3= -30

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

Answer: 2 and 16/45 or 2 (16/45)  

Step-by-step explanation:brainlest please

is 2.35 the answer

Answer:

102

Step-by-step explanation:

You multiply 34 and 2 which gives you 68. Then you add 34 and 68 which gives you 102.

Answer:

(5,6)

Step-by-step explanation:

Answer with step-by-step explanation:

(9,2) - (4,8) = (5,-6)

Hope this was helpful! (brainliest please)

Answer:

625

Step-by-step explanation:

Since two slices is 250 calories, let us find how many calories is there in one.

250/2=125 (note, slash signs represents divide sign. When writing down, please write the actual sign.)

Now, we find how many calories are there in 5 pizza slices.

125x5=625

Answer:

Mitchell's dog is 3 years old

Step-by-step explanation:

9 x 1/3 = 3

9 + 3 = 12

To solve this I just thought of the multiples of three under 12 that if added to 3 are equal to 12 to find Katie's cat age. The multiples of three under 12 are 3, 6 and 9. It couldn't be 3 and 6+3=9 so it had to be 9. So if Katie's cat is 9, you just multiply 9 by 1/3 or divide it by 3 to find Mitchell's dog age.

Answer:

answer is c

Step-by-step explanation:

you have to find x first and try any of the equation if you get y and it is the same of the graph and thats the answer

Answer:

53%

Step-by-step explanation:

Total voters = 5,800

5,800= 100%

3,074=X

X=3,074*100/5,800= 53%

Answer:

65/100

Divide is by 100.

Answer:

need a picture to answer the question

Answer:

2x² - 5x - 3 < 0

let the positive integer be 'X'

5x < 2x² - 3

-2x² + 5x + 3 < 0

The equation is 2x² - 5x - 3 < 0

Answer:

Step-by-step explanation:

45g + 25s = 485

g + s = 13

 45g + 25s = 485

-25g - 25s = -325

20g = 160

g = 8

8 + s = 13

s = 5

25(5)= $125 on same-day tickets

Answer: x=8.

Step-by-step explanation: Here are the steps to solving this proportion:

100/x=75/6.

Step 1: Cross-multiply.

100/ x = 75 /6

(100)*(6)=75*x

600=75x

Step 2: Flip the equation.

75x=600

Step 3: Divide both sides by 75.

75x

75

=

600

75

x=8

So the answer is x=8.