If 225 widgets were produced in 2.2 hours what is the hourly production rate

Answer:

P(A) = 31/1296

P(B) = 125/1296

Step-by-step explanation:

Here, we want to find P(A) and P(B)

Let’s start with A

In a roll of a die, the probability that there will be a 5 is 1/6

The probability of not having a 5 is therefore 1-1/6 = 5/6

So out of four rolls , we want to find the probability of having at least two fives

This means there could be 2, 3 or 4 fives;

For two fives;

We have 2 fives and two non-fives

= (1/6 * 1/6 * 5/6 * 5/6) = 25/1296

For 3 fives;

we have 3 fives and 1 non five

= 1/6 * 1/6 * 1/6 * 5/6 = 5/1296

For 4 fives;

= 1/6 * 1/6 * 1/6 * 1/6 = 1/1296

So the probability of at least two fives is;

1/1296 + 5/1296 + 25/1296 = 31/1296

Event B is the probability that there is at most one five among the four rolls

That means there are 3 non fives and 1 five

P(B) = 1/6 * 5/6 * 5/6 * 5/6 = 125/1296

Answer:

c. 500 + 24 * 8

Step-by-step explanation:

if there is 500 gallons of water already in the swimming pool and we are trying to add more and we are adding 24 gallons for 8 minutes to the already existing pool of water.

The expression 500 + 24 × 8 represents the amount of water in the pool, in gallons, after 8 minutes. The correct answer would be an option (C).

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

If the swimming pool currently has 500 gallons of water in it and we are trying to add more, we would add 24 gallons of water over the course of 8 minutes.

As per the given information, the required expression would be as

500 + 24 × 8

Thus, the expression 500 + 24 × 8 represents the amount of water in the pool, in gallons, after 8 minutes.

Hence, the correct answer would be option (C).

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Answer:

[tex]4p\: > 22[/tex]

[tex]four \: times \: a \: number \: p \: is \: \\ more \: than \: 22[/tex]

The expression of inequality four times a number p is more than 22 is

4p > 22.

Inequality compares two non-equal terms of both sides of the inequality sign. There are four types of inequality.

Given statement four times a number p is more than 22.

As it is stated more than we have to form an inequality strictly greater than 22 which is,

4p > 22.

p > 22/4.

p > 5.5.

This number p can also be represented on a real number line with an open circle at 5.5 and extended to infinity.

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Answer:

320, 900

Step-by-step explanation:

Answer:

y=2/5x-2

Step-by-step explanation:

The main equation you will need for this is y=mx+b

First, you have to find the slope. the equation for that is

-2-0 = -2  (y)

0-5= -5   (x)

A good way to remember this is rise over run or y is always over x

Slope = 2/5 (The negatives cancel out)

The great thing about this is that they have already given you your "y" intercept or "b" which is -2

Answer:

(-∞, 6]

Step-by-step explanation:

Step 1: Write inequality

5x - 10 ≤ 20

Step 2: Solve for x

Here we see that any value less than or equal to 6 would work.

∴ the 3rd option is our answer.

Answer:

Yes they are similar because both are parts of a triangle with a right angle and contain a shared point

Step-by-step explanation:

...

Answer:

55?????

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

I believe it is systematic system

Step-by-step explanation:

Answer:

Stretched vertically by a factor of 17 and translated 17 units left

Step-by-step explanation:

Answer:

1.) f(x)

is translated 17 units left.

2.) ​ f(x)

​is vertically stretched by a factor of 17.

Step-by-step explanation:

Answer:

DOMAIN:

solution: x<0 or x>0

interval notation: ( -∞,0)U(0,∞)

RANGE:

solution :f(x) < 4 or f(x) >4

interval notation: (-∞,4)U(4,∞)

X-INTERCEPTS:

(5/24,0)

ASYMPTOTES:

vertical: x=0

horizontal: y=4

EXTREME POINTS:

none

Step-by-step explanation:

lol i didnt knw how much info u needed i hope this helps

The slope intercept form is y=mx+c, So y= -5/6x + 4 is in slope intercept form.

The general equation of slope intercept form is y=mx+c

where m is the slope and c is the y intercept

The given equation is y= -5/6x + 4, we have to check whether the given equation in slope intercept  form or not.

The given equation is y= -5/6x + 4...(1)

We know that general equation of slope intercept form is y=mx+c...(2)

As we compare equations (1) and (2), we find that equation (1) in the form of (2). so y= -5/6x + 4 is in slope intercept form.

Therefore y= -5/6x + 4 is in slope intercept form.

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Answer:

3

Step-by-step explanation:

They have the same side length and its shown

Answer:

??

Step-by-step explanation:

Explanation:

The given arithmetic sequence is of the form

a+d(n-1)

where 'a' is the first term and d is the common difference

In the case of

12+3(n-1)

we have a = 12 as our first term and d = 3 as the common difference. This means we start with 12 and add on 3 to each term to get the next one

12+3 = 15

15+3 = 18

18+3 = 21

21+3 = 24

and so on.

Side note: your teacher asks about the first four terms, but each answer choice lists five terms.

Answer:  x>15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x

>

15

Interval Notation:

(

15

,

∞

)

Answer:

y=-2x-100

Step-by-step explanation:

this is the only answer choice with a negative (decreasing) slope.  The temperature went down and the slope went down

Hope this helps!

m = (y2-y1)/(x2-x1)

m = (9-5)/(3-2)

m = 4

Substitute the values in y= mx + c,

5 = (4)(2) + c

5 = 8 + c

c = -3

Thus, the equation is y= 4x -3

The y intercept is -3 and the slope of line is 4 .

Then the equation of line will be : y= 4x -3

Given,

Points on x and y axis .

Standard equation of line :

y = mx + c

m = slope of line

c = y intercept

Now

Firstly find out the slope of line ,

m = (y2-y1)/(x2-x1)\

m = (9-5)/(3-2)

m = 4

Now to calculate the value of y intercept

Substitute the values in y= mx + c,

5 = (4)(2) + c

5 = 8 + c

c = -3

Thus, the equation is m = (y2-y1)/(x2-x1)

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Answer:

70 percent

Step-by-step explanation:

first divide your part by your total: 28/40

then multiply the result by 100

so, 28/40=0.7. 0.7×100=70 percent

Answer:

4 [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

When adding fractions, you want to make the denominators of the fraction the same. To do this, we can multiply both the numerator and denominator of 3/4 by 3. When changing either a denominator or numerator in a fraction, you must do the same thing to the numerator as the denominator.

Now we have [tex]\frac{3\cdot3}{4\cdot3} = \frac{9}{12}[/tex]. To add 9/12 and 5/12, we keep the denominator the same, and add the numerators, getting [tex]\frac{9+5}{12} =\frac{14}{12}[/tex]. This is greater than 1, so we can take 12/12 from 14/12, and make it [tex]1 \frac{2}{12}[/tex]. If we then add 3, we get [tex]4 \frac{2}{12}[/tex], which simplifies to [tex]4 \frac{1}{6}[/tex]

2x³ = x • 2x², and

2x² (x + 3) = 2x³ + 6x²

Subtract this from the dividend to get a remainder of

(2x³ + 4x² - 5) - (2x³ + 6x²) = -2x² - 5

-2x² = x • (-2x), and

-2x (x + 3) = -2x² - 6x

Subtract this from the last remainder to get a new one of

(-2x² - 5) - (-2x² - 6x) = 6x - 5

6x = x • 6, and

6 (x + 3) = 6x + 18

This gives a new remainder of

(6x - 5) - (6x + 18) = -23

x does not divide -23, so we're done, leaving us with

[tex]\dfrac{2x^3+4x^2-5}{x+3}=2x^2-2x+6-\dfrac{23}{x+3}[/tex]

Answer:

[tex]d = 2\sqrt{5}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d = \sqrt{(1-(-3))^2+(2-4)^2}[/tex]

[tex]d = \sqrt{(1+3)^2+(-2)^2}[/tex]

[tex]d = \sqrt{(4)^2+4}[/tex]

[tex]d = \sqrt{16+4}[/tex]

[tex]d = \sqrt{20}[/tex]

[tex]d = 2\sqrt{5}[/tex]

Answer:

Step-by-step explanation:

67 - u = 182

67 - 182 = u

-115 = u

Answer:

12 minutes (1/5 hour)

Step-by-step explanation:

Speed is 500 kmph.

Distance is 100 km.

Time = Distance/Speed = 100 km/500 kmph = 1/5h = 12 minutes.

Answer:

15

Step-by-step explanation:

i had this on a test