A college reported that 40% of its population is male. Nine students are selected at random The mean is Answer .The standard deviation is . (Round to the nearest hundredth, if necessary.) The shape of the distribution is

Answer: £ 8

Step-by-step explanation:

Total hours Lena works from Monday to Friday = 34 hours

Hours she works on Saturdays = 4

Overtime rate of Saturday = 1.5 times her normal rate

Let x be the normal rate.

Then , Her total earning = [tex]34 x + 4 \times(1.5x) =34x+6x=40x[/tex]

Since her total earnings for week = £ 320

So,

[tex]320=40x\\\\\Rightarrow\ x=\dfrac{320}{40}\\\\\Rightarrow\ x=8[/tex]

Thus, her normal rate of pay per hour = £ 8

Answer:

Drag it untill you get a right triangle . this is where you get the height

Answer:

B. f^-1(x) = x+3

Step-by-step explanation:

Given the function f(x) = x-3, to get its inverse, the following steps mist be followed.

First we will make y = f(x)

y = x-3

Then we will make x the subject of the formula to have:

y+3 = x-3+3

y+3 = x

x = y+3

Finally, we will replace back y with x to have:

y = x + 3

f^-1(x) = x+3

This gives the inverse of the function.

Answer:

479,001,600 ways

Step-by-step explanation:

When looking at this problem, there are 13 beads that can be put on first, 12 that can be put on second as the first one was already used, 11 put on third, and so on. This means the amount of necklaces you can make are 13*12*11...*2*1, or 13 factorial (13!). But since you can rotate the necklace this means that there are each combination has 12 others just like it, just rotated(13 in total). This means we must divide 13! by 13, which makes it 12!. 12! is equal to 479,001,600, which is the answer.

Answer:

6,227,020,800 different necklaces.

Step-by-step explanation:

To start making the necklace, you will have to choose one of the 13 beads. For the next bead, you will have 13 - 1 = 12 beads to choose from. For the next bead, you will have 12 - 1 = 11 beads to choose from, and so on and so forth, until all 13 beads are used.

So, you will have 13! different necklaces, since you would have 13 * 12 * 11 * 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 156 * 110 * 72 * 42 * 120 = 17160 * 362880 = 6227020800.

So, you will have 6,227,020,800 different necklaces.

Hope this helps!

Answer:

A) 6/7

Step-by-step explanation:

Remember that two negatives will cancel to make a positive. Also, 6 ÷ 7 is 6/7

Answer:

C. 4c+20

Step-by-step explanation:

If 4 buses are filled with kids, to get how many kids there are in total you would have to multiply the number 4, to represent the buses, times the number of kids in 1 bus, represented by C in this case. Then you would add 20 kids to represent the number of kids traveling in cars.

With that you have 4c+20.

Answer:

Step-by-step explanation:

Recall that when we are factoring a polynomial, we are implicitly finding its roots. By finding a root, we are looking for a value of x (say c) such that p(c) =0. When this happens, our polynomial has the the polynomial (x-c) as a factor.

We are given the values of p at some values of x. We notice that p(5) = 0 and p(-12) =0. So, this means that our polynomial has as a factor the polynomials (x-5) and (x+12).

Answer:

Factor: x-5 & x+12

Not a Factor: x-1, x+4, x-7, x+10

Step-by-step explanation:

The remainder theorem states that for a polynomial p(x) and a number a, the remainder on division of p(x) by x − a is p(a). So, p(a) = 0 if and only if x − a is a factor of p(x).

Since, p(5) = 0 and p(-12) = 0, the expressions (x − 5) and (x + 12) are factors of the polynomial p(x).

Answer:

a. 1350

b. 4%

Step-by-step explanation:

here is the complete question :

Toni invests money into an account which pays a fixed rate of compound interest each year. The total value, £V, of her investment after t years is given by the formula:

V = 1350 x 1.04^t

Answer questions a & b

a - How much money did Toni invest in pounds

b - What rate of compound interest is paid each year

the formula for calculating compound interest is given by :

V = P (1 + r)^t

P = Present value  -= amount invested = 1350

R = interest rate  = 4%

N = number of years  = t

i hope my answer helps you

Answer:

The numbers are 35 and 35.

Step-by-step explanation:

Let one odd number be x.

The next greater odd number is x + 2.

x + x + 2 = 68

2x + 2 = 68

2x = 66

x = 33

x + 2 = 35

The numbers are 35 and 35.

Answer:

144mn + 32m - 64

:)

Step-by-step explanation:

Answer:

Given :

length offshore = CS=√(1+X^2)

Cable charged = 5000√(1+X^2)

onshore length = 4-X

laying cost = 3000(4-X)

total cost:

C=5000√(1+X^2) +3000(4-X)

DC/DX

= [5000*(0.5)*2X/{√(1+X^2)}]-3000=0... for optimum

5000X=3000√(1+X^2)

25X^2=3+3X^2

22X^2=3

X=√(3/22)

= 0.3693 miles

So, it would be laid offshore to S in a manner that

BS=X=0.3693 miles

Onshore=4-0.3693

=3.6307 miles

Answer:

Step-by-step explanation:

4-3x≥7

4-7≥3x

-3≥3x

or

3x≤-3

x≤-1

Answer:

402.12 cm²

Step-by-step explanation:

45 degrees is 1/8 of a circle

πr² = whole circle

1/8*(3.1415926....)(32)² = 402.12 cm²

1) -x + 4 = -2x - 6

Add(2x)

x+4=-6

Subtract(4)

x = -10

Check your work

-(-10)+4=-2(-10) - 6

10+4=-2(-10) - 6

14=-2(-10)

14=20 - 6

14=14

Correct :)

2) 4R - 4 = 3R + 10

Add 4

4R=3R+14

Subtract 3R

R = 14

Check your work

4(14)-4=3(14)+10

56-4=3(14)+10

52=3(14)+10

52=42+10

52=52

Correct :)

3) 2Y - 3 = Y - 4

Add 3

2Y = Y - 1

Subtract Y

Y = -1

Check your work

2(-1)-3=-1-4

-2-3=-1-4

-5=-5

Correct :)

Hope it helps <3

Answer:

Solution,

Summation FX= 5+10+6+12+X

=33+x

N(total no.of items)=5

Now,

Mean= summation FX/N

or 9=33+X/5

or 9*5=33+X ( cross multiplication)

or 45=33+X

or -x=33-45

or -x=-12

X=12

Hope this helps...

Good luck on your assignment..

Answer:

x = 12

Step-by-step explanation:

The mean calculated by adding all the numbers of a set and dividing it by the total number of numbers. In this case, we have five numbers, but we do not know what the sum of all the numbers is because one of the numbers in under the pronumeral x. The find this out we need to work backwards. We know that when all the five numbers are added we should get 45 (it is 9 time 5 as there are five numbers in the set). The next step is to subtract 45 from the number that we known (i.e. 45 - 5 - 10 - 6 - 12). This comes to 12.

To double-check if you got the right answer you could add all five numbers include the 12 and divide it by 5 to see if the answer is 9.

Answer:

(- 1, 3 )

Step-by-step explanation:

Given the 2 equations

2x + y = 1 → (1)

3x - y = - 6 → (2)

Adding the 2 equations term by term eliminates the y- term, that is

5x = - 5 ( divide both sides by 5 )

x = - 1

Substitute x = - 1 into either of the 2 equations and evaluate for y

Substituting into (1)

2(- 1) + y = 1

- 2 + y = 1 ( add 2 to both sides )

y = 3

Solution is (- 1, 3 )

Answer: (-1,-3) or A on the quiz

Got it right

Have a nice day

Answer:

6n^4-10n^2+10n

Step-by-step explanation:

4 n^4+2n^4-3n^2-7n^2+9n+n

6n^4-10n^2+10n

Answer:

[tex]\boxed{6n^4- 10n^2 + 10n}[/tex]

Step-by-step explanation:

[tex](4n^4 - 3n^2 + n)+ (2n^4 -7n^2 + 9n)[/tex]

[tex]\sf Remove \ brackets.[/tex]

[tex]4n^4 - 3n^2 + n+2n^4 -7n^2 + 9n[/tex]

[tex]\sf Group \ like \ terms.[/tex]

[tex]4n^4 + 2n^4- 3n^2 -7n^2 + 9n+n[/tex]

[tex]\sf Combine \ like \ terms.[/tex]

[tex]6n^4- 10n^2 + 10n[/tex]

Answer:

Hope it helps

sorry fir bad camera view.....

Answer:

The table in the top right

Step-by-step explanation:

That table represents the equation y=-2x-1. It is the only table that represents a linear equation.

To be a linear equation it has to consistently add the same amount up and right OR down and right (depending on if it's a positive or negative equation)

I have included a picture of the graph with the equation and all points on it (click/tap on it to see the full picture.)

If this helped please rate, thanks, and mark brainliest :)

The table which represents a linear function is one on the top-right corner.

A linear function is a mathematical relation which is characterized by a constant slope otherwise known as the rate of change of the function.

Upon evaluation of the slope of each table; only the top-right corner table has a constant slope.

Ultimately, a linear function is characterized by a constant slope as observed in the top-right corner table in discuss.

Read more on linear function;

https://brainly.com/question/15602982

Answer:

-5.7

Step-by-step explanation:

OUR EQUATION IS A QUADRATIC EQUATION

Let Δ be our dicriminant :

Answer:

55°

Step-by-step explanation:

x°+35° is a right angle

so x°+35°= 90°

then : x° = 90°-35° = 55°

Answer: x = 20

Step-by-step explanation:

This problem makes use of Supplementary Angles.  Supplementary Angles states that all angles that makes up a straight line are equal to 180.  Thus, 125+35+x=180

First add

160+x=180

Then subtract

x=20

Hope it helps <3

Answer:

R$ 27,00

Step-by-step explanation:

R $ 72,00 = Um bolo de morango + dois quilos de bolo de chocalate

Um bolo de morango = R$ 18,00

R $ 72,00 = R$ 18,00 + Dois quilos de bolo de chocalate

Dois quilos de bolo de chocalate = R$72,00 - R$18,00

= R$54,00

Dois (2) quilos de bolo de chocalate = R$54,00

Um (1) quilo de bolo de chocalate = x

2x = R$ 54,00

x = R$ 54,00/2

x = R$ 27,00

Um quilo do bolo de chocolate = R$27,00

Answer: 16.991°

Step-by-step explanation:

Used a triangle calculator hope this helped!

Answer: [tex](x+2)(x+8)[/tex]

Step-by-step explanation:

1) First, we need to see which number multiplies to 16 and adds up to 10.

By looking at the factors of 16, we can see that only 2 and 8 will work.

2) Now, we need to arrange them in the factorized equation, which is always

(x+r)(x+q).

3) This will give us our final equation:

[tex](x+2)(x+8)[/tex]

If you want the roots, just do the negation of r and q and you will get it!

Answer:   5s -3 = s -3 + 24    5s -3 = s + 21

Step-by-step explanation:

Father   f

Son   s .   present:  f = 5s  use this equation to substitute the equal value

3 years ago .  f-3 = s-3 + 24  

Substitute 5s for f in the second equation

5s -3 = s-3 + 24

works out as  5s -s = - 3  +3 + 24

4s = 24  

4s/4 = 24/4  

s = 6

The son's age is 6, The father is 30

Answer:

[tex]l = 88 cm[/tex]

Step-by-step explanation:

Volume of Cube = [tex]l*l*l[/tex]

Volume of Cube = [tex](Length)^3[/tex]

Where volume = 681472 cubic cm

=> [tex]l^3 = 681472[/tex]

Taking square root on both sides

=> [tex]l = \sqrt{681472}[/tex]

=> [tex]l = 88 cm[/tex]

Answer:

P(X/Y) = 0.4545

Step-by-step explanation:

Let's call X that the transferred ball is black, X' that the transferend ball is white and Y the event that the second ball drawn is black.

The probability that the transferred ball was black given that the second ball drawn was black is equal to:

P(X/Y) = P(X∩Y)/P(Y)

Where P(Y) = P(X∩Y) + P(X'∩Y)

Then, the probability P(X∩Y) that the transferred ball is black and the second ball drawn is black is equal to:

P(X∩Y) = (5/12)*(7/11) = 0.2651

Because the urn A has 12 balls and 5 of them are black, then if the transferred ball is black, the urn B will contain 11 balls and 7 of them will be black balls.

At the same way, the probability P(X'∩Y) that the transferred ball is white and the second ball drawn is black is equal to:

P(X'∩Y) = (7/12)*(6/11) = 0.3181

Because the urn A has 12 balls and 7 of them are white, then if the transferred ball is white, the urn B will contain 11 balls and 6 of them will be black balls.

So, P(Y)  and P(X/Y) are equal to:

P(Y) = 0.2651 + 0.3181

P(Y) = 0.5832

P(X/Y) = 0.2651/0.5832

P(X/Y) = 0.4545

Answer:

D

Step-by-step explanation:

convert miles to feet :

1 mile     5280 foot

2820*5280=14889600 ft

14889600/2=7444800 close to 7500000

D

Answer:

x = -1/2, 3/4

Step-by-step explanation:

Step 1: Isolate everything to 1 side

8x² - 2x - 3 = 0

Step 2: Factor

(4x - 3)(2x + 1) = 0

Step 3: Find roots

4x - 3 = 0

4x = 3

x = 3/4

2x + 1 = 0

2x = -1

x = -1/2