Factor the expression completely.
27x - 72

Answer:

(20,0)

Step-by-step explanation:

Trust me :)

Answer:

(20,0)

Step-by-step explanation: trust the guy ^

Answer:

answer is 1, 2, 6

Step-by-step explanation:

Answer:

1,2, and 6

Step-by-step explanation:

Answer:

kira put the points in the wrong places

Answer:

The required probability = 0.7143

Step-by-step explanation:

From the information given:

From a group of eight candidates

The no. of candidates that enrolled in internships = 5

The no. of candidates that enrolled in teaching = 3

Also, supposed all the eight candidates are equally qualified;

Then, Let assume that:

Y to represent the number of internship trainee candidates hired.

N to represent no. of candidates in a group = 8

r to represent those who enrolled in paid internship = 5

Now, N - r = 3 (for those who enrolled in traditional teaching program)

Suppose; n represent the positions for local teaching which is given as 3;

Then; selecting 3 from 8 whereby some enrolled in internships and some in traditional teaching programs;

Then,  let assume Y is a random variable that follows a hypergeometric distribution; we have:

[tex]p(Y = y) = \left \{ {{\dfrac{ \bigg (^r_y \bigg)\bigg (^{N-r}_{n-y} \bigg) }{ \bigg ( ^N_n \bigg) } } _\atop { ^{0, otherwise} } } \right.[/tex]

[tex]p(Y = y) = \left \{ {{\dfrac{ \bigg (^5_y \bigg)\bigg (^{3}_{3-y} \bigg) }{ \bigg ( ^8_3 \bigg) } } } } \right, y= 0,1,2,3[/tex]

Thus, the probability that two or more internship trained candidates are hired can be computed as:

p(Y ≥ 2) = p(Y=2) + p(Y =3)

[tex]p(Y \geq 2) = \dfrac{ \bigg ( ^5_2\bigg) \bigg ( ^3_1 \bigg)}{\bigg (^8_3 \bigg)} + \dfrac{\bigg (^5_3 \bigg) \bigg (^3_0 \bigg)}{\bigg ( ^8_3\bigg)}[/tex]

[tex]p(Y \geq 2) = \dfrac{40}{56}[/tex]

[tex]\mathbf{p(Y \geq 2) = 0.7143}[/tex]

Answer:

23

Step-by-step explanation:

Answer:7x + 80

Step-by-step explanation :simplify the expression

Step-by-step explanation:

Given parameters:

Perimeter of triangle  = 69cm;

Unknown:

Length of each side  = ?

Solution:

   Side a is 5cm shorter than side b;

         b  = a + 5  ----- i

   Side c is 5 more than twice side b;

          c = 2b + 5

The three sides of triangle are a, b and c;

  Perimeter is the sum of sides of a body;

      a + b + c  = 69

From i;

        a  = b - 5

        b

       c  = 2b + 5

so;

          b - 5 + b + 2b + 5  = 69

           4b = 69

            b  = 17.25cm

a  = b -5  = 17.25 - 5 = 12.25cm

c = 2(17.25) + 5  = 39.5cm

Answer:

a. The probability that the finished product selected is defective is 2.45%.

b. The probability that product chosen randomly was defective and made by machine B3 is 20.41%.

Step-by-step explanation:

Let A represents the defective product.

We also have the following from the question:

P(B1) = Probability or percentage of the made by machine B1 = 30%, or 0.30

P(B2) = Probability or percentage of the made by machine B2 = 45%, or 0,45

P(B3) = Probability or percentage of the made by machine B3 = 25%, or 0.25

P(A/B1) = Probability or percentage of product B1 that is defective = 2%, or 0.02

P(A/B2) = Probability or percentage of product B2 that is defective = 3%, or 0.03

P(A/B3) = Probability or percentage of product B3 that is defective = 2%, or 0.02

We can therefore proceed as follows:

A. Suppose that a finished product is randomly selected. What is the probability that it is defective?

To determine this, the rules of elimination is applied and we have:

P(A) = (P(B1) * P(A/B1)) + (P(B2) * P(A/B2)) + (P(B3) * P(A/B3)) ………… (1)

Where;

P(A) = Probability that the selected product is defective = ?

Substitutes the values defined above into equation (1), we have:

P(A) = (0.30 * 0.02) + (0.45 * 0.03) + (0.25 * 0.02)

P(A) = 0.006 + 0.0135 + 0.005

P(A) = 0.0245, or 2.45%

Therefore, the probability that the finished product selected is defective is 2.45%.

B. If a product were chosen randomly and found to be defective, what is the probability that it was made by machine B3.

To calculate this, the Bayes’ rule is employed as follows:

P(B3/A) = (P(B3) * P(A/B3)) / [(P(B1) * P(A/B1)) + (P(B2) * P(A/B2)) + (P(B3) * P(A/B3))] = (P(B3) * P(A/B3)) / P(A)  ………….... (2)

Where;

P(B3/A) = The probability that product chosen randomly was defective and made by machine B3 = ?

Also, from the values already defined and obtained in part A, we have:

P(B3) = 0.25

P(A/B3) = 0.002

P(A) = 0.0245

Substituting the values into equation (2), we have:

P(B3/A) = (0.25 * 0.02) / 0.0245

P(B3/A) = 0.005 / 0.0245

P(B3/A) = 0.2041, or 20.41%

Therefore, the probability that product chosen randomly was defective and made by machine B3 is 20.41%.

Answer:

ruler and a foot rod stick

Answer:

b 56

Step-by-step explanation:

Answer:

13 and a half

Step-by-step explanation:

54 / 4 simple math honey, let me know if you need more help my door is always open!

An expression to represent the situation is 54/4.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Given that, a package of cookies includes 54 chocolate chip cookies.

Peter is going to split these cookies with 4 of his friends.

So, the expression is Total number of cookies/Number of friends

= 54/4

= 13.5

Therefore, an expression to represent the situation is 54/4.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ3

Answer:

Caleb will run 237 ft

Step-by-step explanation:

Answer:

Caleb will run 220 ft.

Step-by-step explanation:

70 * pi = 220 ft

Answer: n=3.8

Step-by-step explanation:

It is long but does a good job of explaining it

Let's solve your equation step-by-step.

0.3(n−5)=0.4−0.2n

Step 1: Simplify both sides of the equation.

0.3(n−5)=0.4−0.2n

(0.3)(n)+(0.3)(−5)=0.4+−0.2n(Distribute)

0.3n+−1.5=0.4+−0.2n

0.3n−1.5=−0.2n+0.4

Step 2: Add 0.2n to both sides.

0.3n−1.5+0.2n=−0.2n+0.4+0.2n

0.5n−1.5=0.4

Step 3: Add 1.5 to both sides.

0.5n−1.5+1.5=0.4+1.5

0.5n=1.9

Step 4: Divide both sides by 0.5.

0.5n

0.5

=

1.9

0.5

n=3.8

Answer:

3.8

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

B : –6 is not in the domain of f(x) but is in the range of f(x).

Step-by-step explanation:

Answer:

The correct option is f.

Step-by-step explanation:

The (1 - α)% confidence interval for the population proportion is:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

It is provided that an experimenter flips a coin 100 times and gets 58 heads.

That is the sample proportion of heads is, [tex]\hat p=0.58[/tex].

The critical value of z for 90% confidence level is, z = 1.645.

*Use a z-table.

Compute the 90% confidence interval for the probability of flipping a head with this coin as follows:

[tex]CI=\hat p\pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

     [tex]=0.58\pm 1.645\cdot\sqrt{\frac{0.58\times(1-0.58)}{100}}\\\\=0.58\pm 0.0812\\\\=(0.4988, 0.6612)\\\\\approx (0.499, 0.661)[/tex]

Thus, the 90% confidence interval for the probability of flipping a head with this coin is (0.499, 0.661).

The correct option is f.

Answer:

69

Step-by-step explanation:

Answer:

24 2/5

Step-by-step explanation:

Answer:

You win if you spin any number except 3, otherwise your friend wins

Step-by-step explanation:

Because the spinner is divided into equal sections, there is an equal probability of spinning any number. In this case, you win by spinning a 1, 2, or 4, and your friend only wins by spinning a 3. The probability of you winning is 34, while the probability of your friend winning is only 14.

Answer:

I think it's 118°73°49° not really sure

sorry

Answer:

The coordinates of the vertex D. are (2, -5)

The coordinates of the vertex E. are (3, -2)

The coordinates of the vertex F. are (6, -4)

Step-by-step explanation:

The point D of the graph is located +2 on the x-axis and -5 on the y-axis

The point E of the graph is located +3 on the x-axis and -2 on the y-axis

The point F of the graph is located +6 on the x-axis and -4 on the y-axis

I hope that this helps! :)

Answer:

translate the road down 4 units

Hope this helps

Answer: What is the formula for finding the area of a triangle?

Not technically, but sometimes you may have to find the height using the Pythagorean Theorem, so if you have the hypotenuse and the base of a right triangle, the height, h = √(c^2 - b^2), so the area of the triangle could be found by A = 1/2 b √(c^2 - b^2), but it is the same principle as A = 1/2 b h.

Step-by-step explanation:

im in 6th grade to so thats easy

Solution :

Let us consider the squares be [tex]$[1, 16] \times [16, 32]$[/tex]

If x ranges from the 0 to 16 and the y ranges from 16 to 32, we see that the boundary of the region[tex]$y-x \geq 9 \text{\ is}\ y - x = 9$[/tex]  which goes from the [tex]$(7, 16 ) \text{ to}\ (16, 25) $[/tex].

And so it is easier to find the area of region where [tex]$ y-x \leq 9$[/tex]. This is the triangle with points [tex]$(7,16),(16,25) \text{ and}\ (16,16)$[/tex] as its vertices.

The area if the triangle is =  [tex]$\frac{1}{2} \times 9 \times 9$[/tex]

                                         = [tex]$\frac{81}{2}$[/tex]

Now the entire area is [tex]$(16)^2$[/tex]  = 256

Then, [tex]$P(y-x \leq 9) = \frac{81/2}{256} =\frac{81}{512}$[/tex]

or [tex]$P(y-x \geq 9) = 1 - \frac{81}{512}=\frac{431}{512}$[/tex]

Thus the answer is [tex]$\frac{431}{512}$[/tex]

Answer:

15

Step-by-step explanation:

Answer:

1/2 years old

Step-by-step explanation:

5 1/2-4 1/2

Answer:

C

Step-by-step explanation:

3/6 = 1/2 when simplified.

Answer:

the first one i did it yesterday

Answer:

0.57142

Step-by-step explanation:

A normal random variable with mean and standard deviation both equal to 10 degrees Celsius. What is the probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit?

We are told that the Mean and Standard deviation = 10°C

We convert to Fahrenheit

(10°C × 9/5) + 32 = 50°F

Hence, we solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 59 °F

μ is the population mean = 50 °F

σ is the population standard deviation = 50 °F

z = 59 - 50/50

z = 0.18

Probability value from Z-Table:

P(x ≤59) = 0.57142

The probability that the temperature at a randomly chosen time will be less than or equal to 59 degrees Fahrenheit

is 0.57142

Answer:

X=38(8m)#7=274*€7£

Step-by-step explanation:

There you go my answer is pretty much the explanation

not sure what grade this is but if this is collage than that would be the answer