graph the linear equation -4y=-5x-18​

Answer:

0.9317

Step-by-step explanation:

Standard deviation of the weights = [tex]\sigma[/tex]=100 lbs

Mean weight = u = 1200 lbs

We need to find the probability that the weight(x) of a randomly selected steer is between 1000 lbs and 1369 lbs i.e. P(1000 < x < 1369)

Since, weights follow the normal distribution we can use the z values to find the required weight. For this we have to convert both the values to z score. The formula for z scores is:

[tex]z=\frac{x-u}{\sigma}[/tex]

1000 converted to z scores is:

[tex]z=\frac{1000-1200}{100}=-2[/tex]

1369 converted to z scores is:

[tex]z=\frac{1369-1200}{100}=1.69[/tex]

So, we have to find the values from z table that lie between -2 to 1.69

P( 1000 < x < 1369 ) = P(-2 < z < 1.69)

P(-2 < z < 1.69) = P(z < 1.69) - P(z < -2)

From the z table:

P(z < 1.69) = 0.9545

P(z < -2) = 0.0228

So,

P(-2 < z < 1.69) = 0.9545 - 0.0228 = 0.9317

Thus,

P( 1000 < x < 1369 ) = 0.9317

From this we can conclude that:

The probability that the weight of a randomly selected steer is between 1000 lbs and 1369 lbs is 0.9317

Final answer:

The probability that the weight of a randomly selected steer is between 1000lbs and 1369lbs, given a normal distribution with a mean of 1200lbs and standard deviation of 100lbs, is approximately 0.9326 or 93.26%.

Explanation:

To find the probability that the weight of a randomly selected steer is between 1000lbs and 1369lbs, given a normal distribution with a mean (μ) of 1200lbs and a standard deviation (σ) of 100lbs, we first convert the weights into z-scores.

The z-score for a value x is given by the formula:

z = (x - μ) / σ

Calculating the z-scores for both weights:

For 1000lbs: z = (1000 - 1200) / 100 = -2

For 1369lbs: z = (1369 - 1200) / 100 = 1.69

We then look up these z-scores in a standard normal distribution table or use a calculator with statistical functions to find the probabilities for each. The probability for a z-score less than -2 is approximately 0.0228, and for a z-score less than 1.69 is approximately 0.9554.

To find the probability that a steer's weight falls between 1000lbs and 1369lbs, we subtract the smaller probability from the larger probability:

Probability = P(z < 1.69) - P(z < -2) = 0.9554 - 0.0228 = 0.9326

Therefore, the probability that a steer weighs between 1000 and 1369lbs is 0.9326, or 93.26% when rounded to four decimal places.

Answer:

720 different ways

Step-by-step explanation:

There are 6 ways to pick the first performer

Now there are 5 acts left

There are 5 ways to pick the 2nd performer

and so on

6*5*4*3*2*1

720

The total number of different ways to schedule six performers' appearances at a comedy club is calculated by finding 6 factorial (6!), which results in 720 unique permutations.

To determine the number of different ways to schedule six performers' appearances at a comedy club, we need to calculate the factorial of the number of performers, which represents the total number of unique permutations possible.

A permutation is an arrangement of all members of a set into some sequence or order.

We calculate the factorial of 6, which is denoted as 6! (6 factorial), and it is the product of all positive integers up to 6. Here is the calculation:

Start with the number 6.

Multiply it by the next lowest number, 5, to get 30.

Multiply 30 by 4 to get 120.

Multiply 120 by 3 to get 360.

Multiply 360 by 2 to get 720.

Multiply 720 by 1 (which doesn't change the value) to finish the calculation.

Therefore, the total number of different ways the six performers can schedule their appearances is 720.

Answer:

4/7

Step-by-step explanation:

P(A or B) when A and B are disjointed is P(A)+P(B)

P(A or B)=P(A)+P(B)

P(A or B)=1/7 +3/7

P(A or B)=4/7

The value of P(A or B) is 4/7 (3rd option)

Let A and B be two disjoint events.

Then, probability of A is P(A) & probability of B is P(B).

In this case, the probability of A or B is the sum of P(A) & P(B)

∴ P(A or B) = P(A) + P(B)

Given, P(A) = 1/7 & P(B) = 3/7

So, P(A or B) = P(A) + P(B)

                     = 1/7 + 3/7

                     = (1+3)/7

                     = 4/7

Required value of P(A or B) is 4/7

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Both 3 and 24 have 3 in common.  This means that you can factor a three out of this equation like so:

3(x + 8y)

If you distribute the three back into the equation then you would then get 3x + 24y (the equation before factoring)

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

3 ( x + 8 y )

Step-by-step explanation:

Since 3 is the LCM ( lowest common multiple ) which goes into both numbers, it will go on the outside of the brackets. To get the insides of the brackets you have to divide the original expression by 3

3 ÷ 3 x = x

24 y ÷ 3 = 8 y

And our final factored form is 3 ( x + 8 y )

Answer:

(2,0)

Step-by-step explanation:

y> -3x + 2

Substitute the points into the inequality to see if they are a solution

(0,2)

2 > -3(0)+2

2 > 2  False

(2,0)

0> -3(2) + 2

0>-6+2

0> -4   True

(1,-2)

-2> -3(1) + 2

-2 > -3+2

-2 >-1  False

(-2,1)

1> -3(-2) + 2

1 >6+2

1>8  False

Answer:

2x^3 + x^2 - 9x + 6

Step-by-step explanation:

(2x^2 + 3x - 6)(x - 1)

2x^3 + 3x^2 - 6x - 2x^2 - 3x + 6

2x^3 + x^2 - 9x + 6

Answer:

Tenth:-42.8

Hundredth: -42.85

To explain:

To the right of the decimal point every name of the place ends with -th.

If a number is bigger than 5 you round the number left to it by 1

If it's 4 or smaller you don't do anything.

Answer:

с. х = 26

Step-by-step explanation:

x – 9 = 17

Add 9 to each side

x – 9+9 = 17+9

x = 26

Answer:

The x-intercept is (7,0).

Step-by-step explanation:

See the graph below for explanation

Answer:

I

Step-by-step explanation:

At least means greater than or equal to

a ≥ 10

That is a closed circle

We have a closed circle at 10

We have to be at least 10 years old

Closed circle at 10, line going to the right

Answer:

List the letters in alphabetical order

Step-by-step explanation:

ABC,ACB

BAC,BCA

CAB,CBA

Answer: 6 permutations

Step-by-step explanation: A permutation is an arrangement of objects in which order is important. In this problem, to find the number of permutations of the letters A, B, and C, we find the number of ways we can arrange the order of the letters A, B, and C.

Image provided.

Therefore, there are 6 permutations of the letters A, B, and C.

Answer:

A

Step-by-step explanation:

The following ratio is true for any circle

[tex]\frac{arc}{C}[/tex] = [tex]\frac{centralangle}{360}[/tex] ← C is circumference

[tex]\frac{4}{C}[/tex] = [tex]\frac{30}{360}[/tex] ( cross- multiply )

30C = 1440 ( divide both sides by 30 )

C = 48 → A

Answer:48

Step-by-step explanation:i got it right

Answer:

GCF = 4ab

Step-by-step explanation:

We need to factor the GCF of

12a^3b+8a^2b^2-20ab^3

Finding the common term: 4ab

So, GCF = 4ab

Factoring the common term

12a^3b+8a^2b^2-20ab^3= 4ab(3a^2+2ab-5b^2)

Based on these first few terms, we can deduce that the next term is computed by switching the sign of the previous one, and multiplying it by 3: we start with -1, we switch the sign (1) and multiply by 3 (3); then again we switch the sign (-3) and multiply by 3 (-9), and so on.

Since switching sign is the same as multiplying by -1, we can compute every next term by multiplying the previous one by -3:

[tex]a_1 = -1\\a_2 = a_1\cdot(-3) = (-1)\cdot(-3)=3\\a_3 =a_2\cdot(-3)=3\cdot(-3)=-9[/tex]

So, the recursive formula is

[tex]a_n = -3a_{n-1}[/tex]

because it states precisely that the next term is -3 times the previous one.

Answer:

Step-by-step explanation:

Put a = 2 and b = 5 to the expression

[tex][a+8(b-2)]^2\div4[/tex]

[tex][2+8(5-2)]^2\div4[/tex]

Use PEMDAS

P Parentheses first

E Exponents

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

[tex][2+8(5-2)]^2\div4=[2+8(3)]^2\div4=(2+24)^2\div4\\\\=(26)^2\div4=676\div4=169[/tex]

Answer:

$13,795

Step-by-step explanation:

15500/x=100/11

(15500/x)*x=(100/11)*x       - we multiply both sides of the equation by x

15500=9.0909090909091*x       - we divide both sides of the equation by (9.0909090909091) to get x

15500/9.0909090909091=x  

1705=x  

x=1705

now we have:  

11% of 15500=1705

Answer:

the answer to this question is b.

Answer:

The correct option is B.

Step-by-step explanation:

It is given that In a population of 1000 individuals, 100 new individuals were born and 200 individuals died over the course of 1 year.

We need to find the population growth rate of this population.

Rate of birth = [tex]\frac{100}{1000}=0.10[/tex]

Rate of death = [tex]\frac{200}{1000}=0.20[/tex]

The formula for rate of change is

Rate of change = Rate of birth - Rate of death

Rate of change = 0.10 - 0.20

Rate of change = -0.10

The required equation is 0.10 - 0.20 = -0.10.

Therefore, the correct option is B.

Answer:

(21, 80)

Step-by-step explanation:

We have the two lines y = 4x -4  and y = 3x + 17. The point 'C' will be given by the interception of them, as follows:

4x -4 = 3x + 17

Solving for 'x':

x = 21

Now, to find 'y' we have:

y = 4(21) -4 = 80

Therefore, they intercept at: (21, 80)

For this case we must find the value of "x":

We have that, by definition:

[tex]4x-4 = 3x + 17[/tex]

Because they are opposite the vertex.

Then, subtracting[tex]3x[/tex] on both sides we have:

[tex]4x-3x-4 = 3x-3x + 17\\x-4 = 17[/tex]

Adding 4 to both sides:

[tex]x = 17 + 4\\x = 21[/tex]

So, the value of x is 21

Answer:

[tex]x = 21[/tex]

Answer:

y=3

Step-by-step explanation:

The vertical sides of the rectangle must be equal

10 =2y+4

Subtract 4 from each side

10-4 =2y+4-4

6 = 2y

Divide each side by 2

6/2 =2y/2

3=y

Answer:

49π cm²

Step-by-step explanation:

area = πr²

fill in r=7cm

Answer:

Part 1) The actual length of the banner is [tex]1.2\ m[/tex]

Part 2) The area of the banner is [tex]3.24\ m^{2}[/tex]

Step-by-step explanation:

we know that

The scale of the drawing is [tex]\frac{1}{30}[/tex]

That means ----> 1 cm on the drawing represent 30 cm in the actual

Using proportion

Find out the actual dimensions of the banner

Let

L  the actual length of the banner

W the actual width of the banner

For a length of 4 cm in the drawing

[tex]\frac{1}{30}=\frac{4}{L}\\ \\ L=30*4\\ \\L=120\ cm[/tex]

Convert the actual length to meters

[tex]L=120/100=1.2\ m[/tex]

For a width of 9 cm in the drawing

[tex]\frac{1}{30}=\frac{9}{W}\\ \\ W=30*9\\ \\W=270\ cm[/tex]

Convert the actual width to meters

[tex]W=270/100=2.7\ m[/tex]

Find the area of the banner

[tex]A=1.2*2.7=3.24\ m^{2}[/tex]

Answer:

The answer is an attachment I hope it helps!!!

Answer: 226.8

Step-by-step explanation:  Find the number in the tenth place 8 and look one place to the right for the rounding digit 4 . Round up if this number is greater than or equal to 5 and round down if it is less than 5 .

Answer:

slope = 7/2

y-int = 4

Step-by-step explanation:

parent formula is y=mx+b ; where m is slope and b is y-int.

begin by rewriting formula to isolate y ; 7x+8=2y ; divide bothe sides by 2 ; so

7/2 x+4=y. slope/m=7/2 and y-int/b=4

Answer:

considering the above 45*

to make the line that would represent 180*

180 - 45 = 135

(2 / 135 - 5)

62.5

62.5 is your answer

Step-by-step explanation:

(x-1)(x-1) + (y+2)(y+2) = 3

x2 -1x -1x + 1 + y2 +2y +2y +4=3

x2 +y2 -2x +4y + 2=0

A is the answer

Answer:

=136

Step-by-step explanation:

Lets solve the triangle using the sine formula.

c/sine C=a/sine A

C= 180-(72+16)

=92°

61/Sin 92=a/sin 72

a=(61 sin 72)/sin 92

=58.0

Solving for b:

c/sin C= b/Sin B

61/sin 92= b/Sin 16

b=(61 Sin 16)/Sin 92

=16.82

Perimeter = 61 +58+ 16.82 = 135.82

Answer =136 to the nearest whole number.

Answer: x = 41

Step-by-step explanation: You need to isolate x. First, subtract x from each side. You will get:

-2 = 2x - 84

Next, add 84 to each side.

82 = 2x

Divide by 2 on each side.

X = 41

Answer:41

Step-by-step explanation:x-3x=-84+2

-2x=-82

X=-82/-2

X=41

Answer:

D. (4, -4)

Step-by-step explanation:

Convert to vertex form by completing the square.

For a polynomial y = x² + bx + c, first add and subtract (b/2)² to the polynomial.  Then factor.

Here, b = -8.  So (b/2)² = (-8/2)² = 16.

y = x² − 8x + 12

y = x²− 8x + 16 − 16 + 12

y = (x − 4)² − 16 + 12

y = (x − 4)² − 4

The vertex is (4, -4).

The vertex of the function y = x2 - 8x + 12 is found by first using the formula -b/2a to find the x-coordinate of the vertex, and then substituting that value into the equation to find the y-coordinate. This results in the vertex being at the point (4,-4).

The vertex of a quadratic function given in the form y = ax2 + bx + c is found using the formula -b/(2a) for the x-coordinate, and substituting that value into the equation to find the y-coordinate. In the given function y = x2 - 8x + 12, a is equal to 1, and b is equal to -8.

Using the vertex form, the x-coordinate of the vertex can be found by using -b/2a, or --8/(2*1), which equals 4. This becomes the x-coordinate of our vertex. Substituting x = 4 into our equation, we find y = (4)2 - 8*4 + 12 = -4. Therefore, the vertex of the given graph is at the point (4,-4), which corresponds to option D.

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Answer:

4 , 2 , 10 , 5

Step-by-step explanation:

46,880

Since this is an even number, we can divide by 2

46,880/2 =23440

Since this number ends in either a 0 or a 5 we can divide by 5

46880/5 =9376

Since the number is divisible by 2 and 5, we know it is divisible by 10

46880/10 =4688

The only number we need to check is 4

If the last 2 numbers are divisible by 4 then the number is divisible by 4

80/4 = 20  so the number is divisible by 4

46880/4 =11720

46880 is divisible by 4,2,10,5

Answer:

all of the are correct