Identify the correct list of factors for the number 24.
1, 2, 4, 6, 12, 24
1, 2, 3, 4, 6, 8, 12, 24
1, 2, 4, 7, 12, 24
1, 2, 3, 8, 12, 24

Answer:   Number 5 is 60%

Step-by-step explanation:

Answer:

The probability of thickness exceeding 101 is 0.4483.

Step-by-step explanation:

Let X denote the thickness of the part manufactured by plastic injection molding.

Assume that X follows a normal distribution with mean, μ = 100 and standard deviation, σ = 8.

Compute the probability of thickness exceeding 101 as follows:

[tex]P(X>101)=P(\frac{X-\mu}{\sigma}>\frac{101-100}{8})[/tex]

                    [tex]=P(Z>0.125)\\\\=1-P(Z<0.125)\\\\=1-0.55172\\\\=0.44828\\\\\approx 0.4483[/tex]

Thus, the probability of thickness exceeding 101 is 0.4483.

Answer:

5.6

Step-by-step explanation:

You most likely will end up putting it in slope form y=mx+b

(2y+14.6+3.8)-(34.8m+15.6+2y) collect like terms

(2y+18.4)-(34.8m + 15.6 + 2y) = 2.8 + 34.8m

2y-2y= 0

18.4 - 15.6= 2.8

34.8m -0 = 34.8m

2.8 + 34.8m ( I think we should further simplify)

so minus 2.8 on both sides

34.8m = -2.8(divide by 34.8 on both sides)

m = -7/87

Plug in

(2y+14.6+3.8)-(34.8(-7/87)+15.6+2y) collect like terms

(2y+18.4)-(-2.8 + 15.6 + 2y) collect like terms

(18.4)-(12.8)= 5.6

2y-2y = 0

34.8(-7/87)= -2.8

18.4 - 12.8 = 5.6

Answer:

its c

Step-by-step explanation:

Answer:

-8z +724 + 5y +2c

Step-by-step explanation:

Combine like terms

Answer:

260.1

Step-by-step explanation:15% of 306=45.9

306-45.9=260.1

Answer:

351.9

Step-by-step explanation:

x/306=15/100. then I cross multiplied. And when I do I get 100x/100=4590/100.

I cross out the 100/100 and I leave with x, then I divide 4590 with 100 and get 45.9. So x=45.9.

Then I added the price it was sold..=306+45.9=351.9

Answer:

To easily compare the two linear equations just by looking at the equation, let's rearrange this into the slope-intercept formula: y = mx + b, where m is the slope and b is the y-intercept.

2x - 5y = -25

(-5y = -25x - 2x)-1

5y = 25/5 +2x/5

y = (2/5)x + 5

Thus, the slope is 2/5 and the y-intercept is 5.

y=52x + 5

The slope is 52 and the y-intercept is 5.

Thus, we can say that the two linear equations have the same y-intercept. This is the point in the y=-axis in which the two lines intersect. They must intersect at (0,5).

Step-by-step explanation:

Converting to grams:

Converting these values to grams will make them easier to subtract

3 kg 924 grams OR 3.924 kg  = 3924 grams

1kg 893 grams OR 1.893 kg = 1893 grams

Subtracting:

Now that we have the values in grams, we will put them in their initial order and subtract them

3924 - 1893 = 2031 grams = 2.031 kg  OR  2 kg 31 grams

Answer:

1. d

2. b

3. a

Step-by-step explanation:

1. d => "my graph is non-proportional with a negative y-intercept."

Rationale: it is non-proportional because it does not pass through the point of origin, (0, 0). And also, the line intercepts the y-axis at a point where the value of y is below the point of origin, 0. That gives us a negative y-intercept value.

2. b => "My graph is proportional with a negative slope."

Rationale: it is proportional because the straight line cuts through the point of origin, (0, 0). And also, the line slants downward from left to the right, thus, such downward slope gives us a negative slope value.

3. a => "My graph is non-proportional with a positive slope".

Rationale: it is does not cut across the point of origin, and also the slope slants upward from left to the right. Therefore, it is a non-proportional graph with a positive slope.

how are we supposed to make a line plot

Answer:

Step-by-step explanation:

Hope this helps! <3

Answer: -5 5/6

Step-by-step explanation:

Convert each number into. 1 2/3 = 5/3 (1=3/3, so 3/3 + 2/3) and -3 1/2 = - 7/2

Then multiply the numbers

5/3 x -7/2 = -35/6 (5x7= 35 and 3x2= 6, negative because a negative times a positive is a negative)

Then simplify....6 goes into 35 5 times with 5 remaining, so -35/6 = -5 5/6

Answer:

The best thing to use is Desmos the graphing calculator then just take a screenshot.

Step-by-step explanation:

Hope this helps and have a great day!

Answer:

y-7/ 12y+3

Step-by-step explanation:

Answer:

It would be to the right of -2.5.

Step-by-step explanation:

Answer:

a

  [tex] P(X = 0) =  0.6065 [/tex]

b

[tex]P(x <  25 ) =   1.18 *10^{-33} [/tex]

c

 [tex]  P(x \le 5 ) =  0.9994 [/tex]    

Step-by-step explanation:

From the question we are told that

  The rate  is [tex]\lambda =  \frac{1}{2}\   hr^{-1}[/tex]    =  0.5 / hr

  Generally  Poisson distribution formula is mathematically represented as

       [tex]P(X = x) =  \frac{(\lambda t) ^x e^{-\lambda t }}{x!}[/tex]

Generally the probability that no error occurred during a day is mathematically represented as  

Here  t =  1  hour according to question a

So

   [tex]P(X = x) =  \frac{\lambda^x e^{-\lambda}}{x!}[/tex]

Hence

   [tex][tex]P(X = 0) =  \frac{\frac{1}{2} ^0 e^{-\frac{1}{2}}}{0!}[/tex]

=>  [tex] P(X = 0) =  0.6065 [/tex]

Generally the probability that  a critical error occurs since the start of a day is mathematically represented as

Here  t =  1  hour according to question a

So

   [tex]P(X = x) =  \frac{\lambda^x e^{-\lambda}}{x!}[/tex]

Hence

      [tex]P(x \ge 25 ) =  1 - P(x <  25 )[/tex]

Here

     [tex]P(x <  25 ) = \sum_{x=0}^{24} \frac{e^{-\lambda} * \lambda^{x}}{x!}[/tex]

=>   [tex]P(x <  25 ) =  \frac{e^{-0.5} *0.5^{0}}{0!} + \cdots + \frac{e^{-0.5} *0.5^{24}}{24!}[/tex]

[tex]P(x <  25 ) =  0.6065 + \cdots + \frac{e^{-0.5} *0.5^{24}}{6.204484 * 10^{23}}[/tex]

[tex]P(x <  25 ) =  0.6065 + \cdots + 6.0*10^{-32}[/tex]

[tex]P(x <  25 ) =   1.18 *10^{-33} [/tex]

Considering question c

Here  t =  2  

Gnerally given that the  system just started up and an error occurred  the probability the next reset will occur within 2 hours

[tex]P(x \le 5 ) =  \sum_{n=0}^{5}  \frac{(\lambda t) ^x e^{-\lambda t }}{x!}[/tex]

=> [tex]P(x \le 5 ) =   \frac{(0.5 *  2) ^ 0 e^{- 0.5  * 2 }}{0!} + \cdots  +   \frac{(0.5 *  2) ^ 5  e^{- 0.5  * 2 }}{5!}[/tex]

=> [tex]P(x \le 5 ) =   \frac{1* 2.7183 }{1 } + \cdots  +   \frac{1  *2.7183 }{120}[/tex]

=>  [tex]P(x \le 5 ) =   2.7183 + \cdots  +   0.0226525[/tex]

 [tex]  P(x \le 5 ) =  0.9994 [/tex]    

whats the formula?

Step-by-step explanation:

Answer:

It would be 15

Step-by-step explanation:

because 5x3 equals 15.

Answer:

15 dollars

Step-by-step explanation:

because you have to multiply how many apples there are to how much each one cost. So the answer would be 5 x 3 equals 15 dollars

You found the correct slope for Line 1, but Line 2 has a slope of (3 - 2)/(6-3) = 1/3.

If 2 lines are parallel, their slopes are the same; perpendicular and their slopes are opposite reciprocals (change the sign of the first slope, then divide 1 by it and you get the perpendicular line's slope). 1/3 is NOT the opposite reciprocal of 3 (because they have the same sign) and 1/3 is NOT equal to 3, so that makes the answer neither.

The slope for Line 3 is (3 - 1)/(1 - (-1)) = 2/2 = 1

The slope of Line 4 is (1 - (-1))/(4 - 2) = 2/2 = 1

1 = 1, so these lines are parallel

Answer:

7, 9, 11

Step-by-step explanation:

x+x+2+x+4=5(x+2)-18

3x+6=5x+10-18

3x+6=5x+-8

3x=5x+-14

-2x=-14

x=7

Answer:

x=-4

Step-by-step explanation:

This is the equation you can write (assuming you meant "the same number x"):

1/2x=2+x

x=4+2x

-x=4

x=-4

Answer:

y= 3x+6

Step-by-step explanation:

the equation to use for this problem is y= mx+b

m is the slope (3) and b is the y-intercept (0,6)

let's plug those numbers into the equation.

y= 3x+6

Hope this helps!

Answer:

50.00%

Step-by-step explanation:

Answer:

8.5

Step-by-step explanation:

Given that,

The water level of a lake rose by 1 2/3 in. during a 3 1/3 week-long wet spell. We need to find the average rate at which the water level changed every week. It is a problem based on the concept of ratio. So,

[tex]R=\dfrac{1\dfrac{2}{3}}{3\dfrac{1}{3}}\\\\=\dfrac{\dfrac{5}{3}}{\dfrac{10}{3}}\\\\=\dfrac{5}{3}\times \dfrac{3}{10}\\\\=\dfrac{1}{2}[/tex]

So, the average rate at which the water level changed every week is 1/2 inches/week.

Answer:

[tex]\theta = 14.1\ degrees[/tex]

[tex]846\ minutes[/tex]

Step-by-step explanation:

Given

[tex]csc(\theta) = 4.1191[/tex]

Required

Solve for [tex]\theta[/tex]

[tex]csc(\theta) = 4.1191[/tex]

[tex]csc(\theta) = \frac{1}{sin(\theta)}[/tex]

So, we have:

[tex]\frac{1}{sin(\theta)} = 4.1191[/tex]

Invert both sides

[tex]sin(\theta) = \frac{1}{4.1191}[/tex]

[tex]sin(\theta) = 0.2428[/tex]

Take [tex]sin^{-1}[/tex] of both sides

[tex]sin^{-1} sin(\theta) = sin^{-1}0.2428[/tex]

[tex]\theta = sin^{-1}0.2428[/tex]

[tex]\theta = 14.0518577574[/tex]

[tex]\theta = 14.1\ degrees[/tex] --- approximated

Convert to minutes:

[tex]1\ degree = 60\ minutes[/tex]

So:

[tex]14.1\ degrees = 14.1 * 60\ minutes[/tex]

[tex]14.1\ degrees = 846\ minutes[/tex]

Answer:

B

Step-by-step explanation:

Answer:

b) B,A,C

Step-by-step explanation:

Answer:

A bisector  or angle

Step-by-step explanation:

An angle only has one bisector. Each point of an angle bisector is equidistant from the sides of the angle. The interior or internal bisector of an angle is the line, half-line, or line segment that divides an angle of less than 180° into two equal angles.

Answer:

a geometric series

Step-by-step explanation:

Answer:

the anwer is 5*6