A machine cuts 25 circuit boards every 5 minutes. What is the unit rate of production for the machine?

A- 1/5 minute/boards
B- 5/1 boards/minutes
C- 5/25 minutes/boards
D- 25/5 boards/minutes

Answer:

0.0512

Step-by-step explanation:

Probability of making a correct guess ; p = 1 / 5 = 0.2

q = 1 - p = 1 - 0.2 = 0.8

Number of questions, n = 5

Using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 3) = 5C3 * 0.2^3 * 0.8^2

P(x = 3) = 0.0512

Answer:

Slope of a line parallel is -5/9.

Slope of a line perpendicular is 9/5.

Step-by-step explanation:

5x + 9y = 1

To find the slope of this line we convert the equation to slope-intercept form ( y = mx + c where m is the slope).

9y = -5x + 1

y = -5/9 x + 1/9

So its slope (m)  is -5/9.

So slope of a line parallel to this is also -5/9.

Slope of a line perpendicular = -1 / -5/9

= 9/5.

Answer

2

Step-by-step explanation:

(reorder terms)

2x + 2x = 8

collect like terms

4x=8

divide both sides of the equation

x = 2

Answer:

64 builders must be employed to build a house in 16 days

Answer:

......

Step-by-step explanation:

With these types of problems, it's best to label the unknowns and figure out an equation for what we want to find. Here, we're interested in weight in pounds, which I'll call W, as a function of the number of weeks that have gone by, which I'll call n. So if we can get an equation that relates W to n, we can answer the question of "how many weeks to reach 175 pounds?" by plugging in W = 175 to our equation and solving to find out what value of n gives us that.

Suppose Alex weighs P pounds at the start of his diet. We don't know what P is yet, but we'll aim to find its value later with the information the question gives us.

After 1 week, Alex will lose 2 pounds and will weigh P - 2 pounds

After 2 weeks, Alex will lose another 2 pounds and weigh (P - 2) - 2 = P - 4 pounds

After 3 weeks, Alex will weigh (P - 4) - 2 = P - 6 pounds

You can see the pattern here: after every week, knock off 2 pounds. So in general after n weeks, Alex will lose 2n pounds from his start weight, and he will weigh P - 2n

That gives the equation W = P - 2n, or equivalently

W = -2n + P

We can recognize this as a linear equation, which takes the form y = mx + b, where:

- x is the independent variable,

- y is the dependent variable (the thing that changes as a function of x),

- m is the slope (how much y changes for every unit change in x), and

- b is the y-intercept (that is, the value of y when x = 0).

In our equation W = -2n + P, the number of weeks n is the independent variable, weight W is the dependent variable (it varies as a function of the number of weeks), -2 is the slope (because Alex weight 2 pounds less for every week that goes by), and P - whose value we don't know yet - is Alex's starting weight (i.e., the value of W when n = 0).

To find the value of P, we can use the information in the question that after 6 weeks, Alex weighs 205 pounds. In other words, when n = 6, W = 205. Plug that into our equation and get:

205 = P - 2*6

We can solve that for P:

205 = P - 12

Add 12 to both sides:

P = 205 + 12 = 227

So Alex weighs 227 pounds when he starts the diet, and we have

W = -2n + 227

This is the linear equation the question is asking for.

To find how many weeks Alex needs to reach his target weight of 175 pounds, set W = 175 in the equation and solve it for n:

175 = -2n + 227

Move the -2n over to the other side:

2n + 175 = 227

Subtract 175 from both sides:

2n = 227 - 175

2n = 52

Divide both sides by 2:

2n/2 = 52/2

n = 26

So if he keeps losing 2 pounds per week, Alex will reach his target weight of 175 pounds after 26 weeks.

Of course in real life weight loss doesn't necessarily work like in this question (usually, the rate of loss slows down closer to the goal and the body adapts to eating less). But for the purposes of this question and with this simple linear model of weight loss, Alex would reach his goal weight in half a year.

Answer:

16

Step-by-step explanation:

AB = BC    

32[tex]\sqrt{2}[/tex] = [tex]\sqrt{2 *AB^{2} } \\ => AB = 32 = BC\\x= BC/2 => x = 32/ 2 = 16[/tex]

Answer:

943

Hope that this helps!

Answer:

Step-by-step explanation:

Since the angles both come off of the straight line, they are supplementary, and they add up to equal 180 degrees.

2x + 4x + 24 = 180 and

6x + 24 = 180 and

6x = 156 so

x = 26

Answer:

12 sales

Let x represent the number of sales each man had.

For Salesman A, he earns $65 per sale; this is 65x.

For Salesman B, he earns $40 per sale; this is 40x.  We also add to this his weekly salary of $300; this gives us 40x+300.

Since their pay was equal, set the two expressions equal:

65x = 40x+300

Subtract 40x from each side:

65x-40x = 40x+300-40x

25x = 300

Divide both sides by 25:

25x/25 = 300/25

x = 12

Step-by-step explanation:

plz brainlist

Answer:

The other person is correct

Step-by-step explanation:

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]Using  \: (a+b) {}^{2} (a+b) {}^{2} and (a+b+c) {}^{2} [/tex]

[tex](a + b) {}^{4} \\ = [(a+b) {}^{2} ] {}^{2} \\ = (a {}^{2} +2ab+b {}^{2} ) {}^{2} \\ = (a {}^{2} ) {}^{2} +(2ab) {}^{2} +(b {}^{2} ) {}^{2} +2(a {}^{2} )(2ab) +2(2ab) \\ (b {}^{2} )+2(b {}^{2} )(a {}^{2} ) \\ = a {}^{4} +b {}^{4} +4a {}^{3} b+6a {}^{2} b {}^{2} +4ab {}^{3} [/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

Answer:

b

Step-by-step explanation:

Answer:

The strong linear relationships are:

r = 0.95

r=-0.83

Step-by-step explanation:

When we have points whit apparent linear tents, we can fit the curve to a line and when the correlation coefficient (r) is equal to 1, we have perfect correlation and when r is equal to 0 we do not have a correlation.

Therefore r =  0.95 suggest strong linear relationships.

Now, we can use the same analysis with a negative value of r, so r = -0.83 is strong too.

I hope it helps you!

Answer:

60°

Step-by-step explanation:

360 - ( 80+115+10) = 60°

Answer:

A

Step-by-step explanation:

Answer:

y = -1/2x - 15

Step-by-step explanation:

y2 - y1 / x2 - x1

-11 - (-25) / -8 - 20

14 / -28

= -1/2

y = -1/2x + b

-11 = -1/2(-8) + b

-11 = 4 + b

-15 = b

Answer:

f(2)+g(3) = 5

Step-by-step explanation:

Given that,

f(x) = x² + 2

g(x) = 2-x

We need to find the value of f(2)+g(3).

f(2) = 2² + 2 = 6

g(3) = 2 – 3 = -1

So,

f(2)+g(3) = 6+(-1)

= 5

Hence, the value of the given expression is 5.

Answer:

∠3 = 81

Step-by-step explanation:

Interior angles in a triangle add up to equal 180°

Hence, 58° + 41° + ∠3 = 180

58 + 41 = 99

99 + ∠3 = 180

* subtract 99 from each side *

99 - 99 cancels out

180 - 99 = 81

we're left with ∠3 = 81°

Answer:

7a - 42

Step-by-step explanation:

1st step is to distribute.

7(a-6)

multiply 7 to "a" and -6

7a - 42

Answer:

The answer is C. 18

Step-by-step explanation:

4(5)+10-12=18

Hope this helps!

Answer:

I suck at algebra. your on your own for this one buddy

Answer:

40 minutes

Step-by-step explanation:

I don't think the number of players affect the amount it takes to play the piece. The answer is probably still 40 minutes

Answer:

B

Step-by-step explanation:

The shape is maintained exactly, it is rotated, not reflected and we can see it became smaller, so dilate it by a value less than one, but greater than 0. (2/3)

Answer:

dunno

Step-by-step explanation:

It might be 1,400?

Hope it works!!

D. 29.75 is Right answer...

I hope you understand....

The justification for the 5th statement regarding the circle is the distance formula.

It should be noted that the distance between the points will be found based on the information given.

From the information given, the distance from (0, 0 to (0, 2) will be:

= [tex]\sqrt{0 - 0}[/tex]² + [tex]\sqrt{2 -0}[/tex]²

= 4

= 2

In this case, the justification is the distance formula.

Learn more about circle on:

brainly.com/question/12529233

#SPJ1

Answer:

12

Step-by-step explanation:

Use pythag to solve.

x^2+5^2=13^2

x=12