Which property is used to simplify 45and + 3 (25x+75Y) to 5y + 65x?

Answer:

a.is approximately normal because of the central limit theorem.

Step-by-step explanation:

The central limit theorem states that if we have a population with mean μ and standard deviation σ and we take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed.

For any distribution if the number of samples n ≥ 30, the sample distribution will be approximately normal.

Since in our question, the sample of observations is 50, n = 50.

Since 50 > 30, then our sample distribution will be approximately normal because of the central limit theorem.

So, a is the answer.

Answer:

2.5L of 10% salt solution and 7.5L of the 30% salt solution

Step-by-step explanation:

let the amount of L in the 10% solution be 'x'

let the amount of L in the 30% solution be '10-x'

* because they add up to a total of 10L

10%(x) + 30%(10-x) = 25%(10)

0.1x + 3 - 0.3x = 2.5

-0.2x = -0.5

x = 2.5

x =2.5

10-x = 7.5

2.5 of 10% solution and 7.5% of 30% solution

Answer:

1/6 = 0.16 = 16%

restate the question: 16% of 20.5 is what? multiply: 20.5*.16 = 3.28 now, to find the weight of the object on the moon, subtract 16% from 20.5. 16% of 20.5 is 3.28 20.5-3.28 = 17.22 = 17 22/100 = 17 11/50

the weight of the object is 17 11/50 pounds on the moon.

Answer:

(12x+5y-32=36

12x-x+5y-2y-32=36

Answer:

Step-by-step explanation:

Answered by Gauthmath

Answer:

See below.

Step-by-step explanation:

When Brian passes Alex they both have travelled the same distance.

Call this distance d.

Let the speed that Brian passes = x miles/hour.

Distance = speed * time  so:

For Alex:

d = (x - 5) * 1.5        ( Alex cycles for 1 + 30 minutes =  1.5 hours)

For Brian:

d = x * 1

So substituting d = x in Alex's equation:

x = 1.5(x - 5)

x = 1.5x - 7.5

7.5 = 0.5x

7/5 / 0.5 = x

15 = x.

ANSWER:

Brian's speed is 15 miles/hour.

Alex's speed is 15 - 5 = 10 miles/hour.

Answer:

9/16

Step-by-step explanation:

5/8 - 1/4^2

Exponents first

5/8 - 1/16

Get a common denominator

5/8 *2/2 - 1/16

10/16 - 1/16

9/16

Answer:

c

Step-by-step explanation:

Answer:

C. y - 7 < 2x - 6

Step-by-step explanation:

A. y + 7 < 2x + 6

0 + 7 < 2(0) + 6

7 < 0 + 6

7 < 6 —————- FALSE

B. y + 7 < 2x - 6

0 + 7 < 2(0) - 6

7 < 0 - 6

7 < -6 —————FALSE

C. y - 7 < 2x - 6

0 - 7 < 2(0) - 6

-7 < 0 - 6

-7 < -6 —————TRUE

D. y - 6 < 2x - 7

0 - 6 < 2(0) - 7

-6 < 0 - 7

-6 < -7 ————— FALSE

Answer:

b= sin(43°) * 8 / sin(55°) ≈ 6.7

Step-by-step explanation:

Regarding the law of sines, each angle corresponds to the side opposite of it. Here, that means that the 82 degree angle is opposite of side c (so they correspond) and that the 55 degree angle corresponds to the side with 8cm. However, we are trying to find the length of side b. Therefore, assuming that the side with 8cm is side A, if we know that

sin A / a = sinB/b = sin C / C

= sin(55°)/8 = sinB/b = sin(82°) / c, we can take c out of the equation to get

sin(55°)/8 = sinB/b

If we know sinB, we can multiply both sides by 8 to remove a denominator to get

sin(55°) * b / 8 = sinB

multiply both sides by 8 to remove the other denominator to get

sin(55°) * b = sinB * 8

divide both sides by sin(55°) to isolate the b

b = sinB * 8/sin(55°).

Therefore, if we know sinB, we can figure out the length of b.

Because the angles of a triangle add up to 180 degrees, we can say that

180 = 82 + 55 + angle B

180 = 137 + B

subtract both sides by 137 to isolate B

43 = B

b= sin(43°) * 8 / sin(55°) ≈ 6.7

Answer:

shift of 1 unit to the right

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Given the parent function is y = x² , then

y = (x - 1)² is a shift to the left of 1 unit of the parent function

Answer:

-10

Step-by-step explanation:

5(2) or fives times two is positive ten. The rule about multiplying with negatives is a negative times a positive is a negative. We take the multiplication answer from 5(2)=10 and apple the nagative from 5(-2). Hope this helps:)

Answer:

17

Step-by-step explanation:

8+2+(3×3-2)=8+2+(9-2)=8+2+7=17

mistake in the first step

firstly we do × and ÷

then + and -

Answer:

72?

Step-by-step explanation:

V=whl=4 x 2 x9=72

Answer:

1.137 m

Step-by-step explanation:

The volume of a cube is given as the cube of the side. A cube is a 3 dimensional shape with equal sides and 6 faces. If the volume is V and the side is s then

V = s * s * s

Given that the volume is 1.468mcube​ then

s^3 = 1.468

s = cube root of 1.468

= 1.137 m

9514 1404 393

Answer:

  A.  x = ±2

Step-by-step explanation:

Add 14, then take the square root.

  x^2 -14 +14 = -10 +14

  x^2 = 4

  x = ±√4

  x = ±2

Answer:

A

Step-by-step explanation:

X^2-14=-10

X^2=14-10

X^2=4

√X2=√4

X=±2

Answer:

16⅜ cups

Step-by-step explanation:

Start by getting the same denominator on both fractions and by eliminating the mixed fraction. So our problem is:

15¾ cups + ⅝ cups = ?

15¾ = 63/4 = 126/8

126/8 + ⅝ = 131/8 = 16⅜

Answer:

Step-by-step explanation:

P = 2(L + W)

Area = L*W

Area = 192

(L + W)*2 = 56

L+W = 28

L = 28 - W

W*(28 - W) = 192

28W - w^2 = 92

-w^2 + 28w - 192 = 0

w^2 - 28w + 192  = 0

This factors into

(w - 12)(w - 16) = 0

w - 12 = 0

w = 12

L = 28 - 12 = 16

Answer:

B. 4

Step-by-step explanation:

54 - 4 = 50

50 - 4 = 46

46 - 4 = 42

42 - 4 = 38

Answer: D. -4

Step-by-step explanation: took the quiz and got it right.

I don't know how you want it solved but, I am giving u -2 I hope this helps

Answer:

SA = 37.5 units^2

Step-by-step explanation:

2 1/2 = 2.5

the Surface Area of the cube

SA = 6a^2

SA = 6(2.5)^2

SA = 6(6.25)

SA = 37.5 units^2

Answer:

[tex]Max\ z = 1[/tex]

[tex]Min\ z = -9[/tex]

Step-by-step explanation:

Given

[tex]z = 4x + 5y[/tex]

[tex]x \ge -1[/tex]

[tex]y \le 2x +3[/tex]

[tex]y \le -1[/tex]

Required

The maximum and minimum of z

To do this, we make use of the graphical method

See attachment for graphs of

[tex]x \ge -1[/tex]

[tex]y \le 2x +3[/tex]

[tex]y \le -1[/tex]

The corner points of the function are:

[tex](x,y) = (-1,1)[/tex]

[tex](x,y) = (-1,0)[/tex]

[tex](x,y) = (-1,-1)[/tex]

We have:

[tex]z = 4x + 5y[/tex]

Calculate z with  the above values

[tex]z = 4(-1) + 5(1) = 1[/tex]

[tex]z = 4(-1) + 5(0) = -4[/tex]

[tex]z = 4(-1) + 5(-1) = -9[/tex]

So, we have:

[tex]Max\ z = 1[/tex]

[tex]Min\ z = -9[/tex]

Answer:

Hello,

Step-by-step explanation:

0 girls and 8 boys :

[tex]\left(\begin{array}{c}10\\ 8\end{array}\right)=10*9*8*7*6*5*4*3/8!=45\\\\[/tex]

1 girl and 7 boys:

[tex]\left(\begin{array}{c}6\\ 1\end{array}\right)*\left(\begin{array}{c}10\\7\end{array}\right)=6*10*9*...*4/7!=6*120=720\\\\[/tex]

2 girl and 6 boys:

[tex]\left(\begin{array}{c}6\\ 2\end{array}\right)*\left(\begin{array}{c}10\\6\end{array}\right)=60*210=1260\\[/tex]

3 girl and 5 boys:

[tex]\left(\begin{array}{c}6\\ 3\end{array}\right)*\left(\begin{array}{c}10\\5\end{array}\right)\\[/tex]

4 girls and 4 boys:

[tex]\left(\begin{array}{c}6\\ 4\end{array}\right)*\left(\begin{array}{c}10\\4\end{array}\right)[/tex]

5 girls and 3 bys:

[tex]\left(\begin{array}{c}6\\ 5\end{array}\right)*\left(\begin{array}{c}10\\3\end{array}\right)[/tex]

I let you to calculate and make the sum.

Answer:0.6666...

Step-by-step explanation:

Dividing

Answer:

abcd is a quadrilateral

so , d is ( -1,4 )

c is ( 0,-4 )

b is ( 0,-2)

and

a is ( 2,-2 )

Answer:

hundreths the 9 represents 900

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

1,905

Expand the number

1000 + 900 + 5

900 is the value of the 9

Answer:

H. 40 inches

Step-by-step explanation:

On Wednesday, he is 40 inches taller. ... That would make 5 days of growth, for 100 inches. But this is only 3 days therefore he would grow 40 inches taller

Answer:

2 solutions

Step-by-step explanat

ion:|2x-3|-|3x-2|=0

<=>|2x-3|=|3x-2|

<=>2x-3=3x-2

Or 2x-3=-3x+2

<=>2x-3x=-2+3

or 2x+3x=2+3

<=>x=-1

Or x=1

Answer: c. BC/YZ=6/3

Step-by-step explanation:

trust

Answer: The answer is C. BC/YZ = 6/3

Step-by-step explanation:

Got it right on edge 2023

Answer:

0.1294

Step-by-step explanation:

Number of chocolates in box = 38

Number of nuts = 8

Number of caramel = 16

Number of solid chocolate = 14

Since 2 are selected in a row and not replaced, then;

Probability of first being solid chocolate = 14/38

Probability of second being solid chocolate after first one = 13/37

Thus;

P(2 selected in a row being solid chocolate) = 14/38 × 13/37 = 0.1294

Answer:

|5x|=3  

5x=3 or 5x=-3  

divide both side by 5  

x=3/5 or -3/5

Step-by-step explanation:

Answer: X = -3/5

X = 3/5

Step-by-step explanation:

-3=5X=3

5X= -3

X= -3/5

5X = 3

X = 3/5