A manufacturing machine has two processes. One of them is repeated 4 times and the second only once. The entire cycle
can take no longer than 3 minutes. Which graph represents the overall equation represented by this scenario (all points
may not apply to the scenario)?

Answer:

(a)(B)Yes. This is a legitimate finite probability model because each probability is between 0 and 1 , and all sum to 1 .

(b)P(20‑ to 24‑year‑old who is married)=0.027

(c)P(20–24 year old)=0.26

(d)P(married)=0.398

Step-by-step explanation:

Given the probability model below:

[tex]\left\begin{array}{|c|c|c|c|c|}$Age in years& 20 - 24& 25 - 29& 30 - 34& 35 - 39\\$Never married& 0.227& 0.156& 0.089& 0.054\\ $Married &0.027& 0.086& 0.137& 0.148\\$Widowed/divorced/separated &0.006 &0.015& 0.022& 0.033\end{array}\right\\[/tex]

(a)

0.526+0.398+0.076=1

Therefore this is a legitimate finite probability model because each probability is between 0 and 1 , and all sum to 1 .

(b) The probability that the person chosen is a 20‑24-year‑old who is married

P(20‑ to 24‑year‑old who is married)=0.027

(c)Probability that the person chosen is 20 – 24 years old

P(20–24 year old)=0.227+0.027+0.006=0.26

(d)Probability that the person chosen is married

The right answer is of option C

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

[tex] = 2 {x}^{3} - 11 {x}^{2} + 16x - 3 \\ [/tex]

Step-by-step explanation:

[tex](x - 3)(2 {x}^{2} - 5x + 1) \\ x(2 {x}^{2} - 5x + 1) - 3(2 {x}^{2} - 5x + 1) \\ 2 {x}^{3} - 5 {x}^{2} + x - 6 {x}^{2} + 15x - 3 \\ = 2 {x}^{3} - 11 {x}^{2} + 16x - 3[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

The scale for the second values is 56/8 = 7

C = 3 x 7 = 21

C= 21

Answer:

Hope this is correct

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean compression strength from the extra carbonation of strawberry drink and μ2 be the mean compression strength from the extra carbonation of cola.

The random variable is μ1 - μ2 = difference in the mean compression strength from the extra carbonation of strawberry drink and the mean compression strength from the extra carbonation of cola.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

This is a left tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 530

x2 = 553

s1 = 23

s2 = 16

n1 = 10

n2 = 10

t = (530 - 533)/√(23²/10 + 16²/10)

t = - 2.6

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [23²/10 + 16²/10]²/[(1/10 - 1)(23²/10)² + (1/10 - 1)(16²/10)²] = 6162.25/383.752

df = 16

We would determine the probability value from the t test calculator. It becomes

p value = 0.0097

Since alpha, 0.05 > than the p value, 0.0097, then we would reject the null hypothesis. Therefore, at 5% significance level, the data suggests that the extra carbonation of cola results in a higher average compression strength.

Answer:

As there are six seats in a row and the first person in the row is a woman and the people alternate woman, men, the possibility is

W

M

W

M

W

M

in that order.

Now as we four women, three seats for women can be filled in

X

4

P

3

=

24

ways

and similarly as we four men, three seats for men can be filled in

X

4

P

3

=

24

ways

Hence, total

24

×

24

=

576

permutations.

Step-by-step explanation:

Answer:

The ratio of the government's expenses to it's receipts for 2013 is 1.3333333 trillion

Step-by-step explanation:

According to the given data we have the following:

Receipt=$2.1 trillion

Expenses=$2.8 trillion

Hence, it represent a decifit of $2.8 trillion-$2.1 trillion=$0.7 trillion

Therefore, to calculate the the ratio of the government's expenses to it's receipts for 2013 we would have to use the following formula:

ratio of the government's expenses to it's receipts=$2.8 trillion/$2.1 trillion

ratio of the government's expenses to it's receipts=1.3333333 trillion

The ratio of the government's expenses to it's receipts for 2013 is 1.3333333 trillion

Answer:

x=4

Step-by-step explanation:

think of the equation like this: you have to do the inverse(opposite) operations so for adding you would subtract it. So for the adding 3 you would subtract it from both sides of the equation and get X=4

Answer:

A) Silvie is incorrect; the sum of a rational number and an irrational number is always irrational

Step-by-step explanation:

The concept of adding rational and irrational numbers states that the result will always be irrational.

Take for instance the addition of 4.5 and 3.142857

4.5 is a rational number because it can easily be expressed in fractions while 3.142857 is irrational because it can't be expressed as a simple fraction.

The addition of these two numbers gives 7.642857

7.642857 is an irrational number.

Similarly, any sum of two numbers (rational and irrational) will always result in irrational number.

Hence, Silvie is incorrect.

Answer:

A.

Step-by-step explanation:

Silvie is incorrect; the sum of a rational number and an irrational number is always irrational

Answer:

The answer is 154 ft.

Step-by-step explanation:

You would take the total height (305) and subtract is by the actual statue(151) to get your answer.

305-151=154

Answer:

154

Step-by-step explanation:

Answer:

A. [tex]G(x) = x^2+7[/tex]

Step-by-step explanation:

To shift the function F(x), seven units upwards, there needs to be a 7 being added. Based on this, only "A," is correct.

Answer:

[tex]h \leq 5[/tex]

Step-by-step explanation:

Time already spent on the train is at least 5 hours

Since the trip to Fairbanks take 10 hours, we have that, the sum of the number of hours left, h and the time already spent will be equal to 10.

[tex]t+h=10\\$Since the time for which the passenger has been on the train \geq 5\\5+h \leq 10\\h \leq 10-5\\$The inequality that describes in how many more hours, h the train will reach Fairbanks, therefore, is:\\h \leq 5[/tex]

Answer:

35

Step-by-step explanation:

30+20=50

50-15=35

(Brainliest helps)

Answer:

Answer on imagine math ;)

Answer:

2.54 miles/hr

2.04 miles/hr

Step-by-step explanation:

Given: Distance between the two towns = 1100 miles

Difference between speeds = [tex]\frac{1}{2}[/tex] miles/hr

Total time when they meet = 240 hours

To find:

Let distance traveled by first group = [tex]x[/tex] miles.

Now, the distance traveled by second group = (1100-[tex]x[/tex]) miles/hr

The relation between Speed, Time and Distance is given as:

[tex]\text{Speed =} \dfrac{\text{Distance}}{\text{Time}}[/tex]

Let speed of first group = [tex]S_1[/tex]

[tex]S_1 = \dfrac{x}{240}[/tex]

Let speed of second group = [tex]S_2[/tex]

[tex]S_2 = \dfrac{1100-x}{240}[/tex]

As per question, [tex]S_1[/tex] = [tex]S_2[/tex] + [tex]\frac{1}{2}[/tex]

[tex]\dfrac{x}{240} = \dfrac{1100-x}{240} + \dfrac{1}{2}\\\Rightarrow \dfrac{x}{240} - \dfrac{1100-x}{240} = \dfrac{1}{2}\\\Rightarrow \dfrac{x-1100+x}{240} = \dfrac{1}{2}\\\Rightarrow 2x - 1100 = 120\\\Rightarrow 2x = 1220\\\Rightarrow x = 610 ft[/tex]

Now,

[tex]S_1 = \dfrac{x}{240}[/tex]

Putting value of [tex]x[/tex]:

[tex]S_1 = \dfrac{610}{240}\\\Rightarrow S_1 = 2.54\ miles/hr[/tex]

Similarly, putting value of [tex]x[/tex] in [tex]S_2[/tex]:

[tex]S_2 = \dfrac{1100-610}{240}\\\Rightarrow S_2=\dfrac{490}{240}\\\Rightarrow S_2 = 2.04\ miles/hr[/tex]

Answer:

  [tex]d=\sqrt{r_1^2+r_2^2-2r_1r_2\cos(u_2-u_1)}[/tex]

Step-by-step explanation:

The Law of Cosines gives an immediate result. No translation to Cartesian coordinates is necessary. That law makes use of the angle between the vectors, u2-u1

  [tex]d^2=r_1^2+r_2^2-2r_1r_2\cos(u_2-u_1)\\\\\boxed{d=\sqrt{r_1^2+r_2^2-2r_1r_2\cos(u_2-u_1)}}[/tex]

Answer:

[tex]k=\frac{-cp+4r}{p}[/tex]

Step-by-step explanation:

[tex]r=p/4(c+k)[/tex]

[tex]\frac{r}{p/4} =c+k[/tex]

[tex]\frac{r}{p/4} -c=k[/tex]

[tex]-cp+4r=kp[/tex]

[tex]\frac{-cp+4r}{p} =k[/tex]

Answer:

state A = 32 votes, state B = 53 votes

Step-by-step explanation:

Let the number of electoral votes for state A be a and state B be b

a  = b - 21

a + b = 85

Substituting a for b - 21 in the second equation

2b - 21 = 85

2b = 106

b = 53

Plugging b back in

85 - 53 = 32

Answer:

2.96 seconds

Step-by-step explanation:

Let H(x) = zero and solve for "x".

43 - 4.9x² = 0

4.9x²=43

x²=8.77

x=2.96

therefore, approximately when x=2.96seconds, the rock strike the ground.

Answer: 7,864,320

Step-by-step explanation:

Because the doubling time is 20 minutes, the bacteria would have gone through binary fission(cell division in bacteria) 18 times after 6hours(6*60/20)

Nt=N0 * 2^n

N0=starting population

n=number of times bacteria divide

So

30*2^18=7,864,320

Answer:

c.

Step-by-step explanation:

Answer:

g(-9) = 1

Step-by-step explanation:

g(-9) is the value of the function at x = -9

Go over the x = -9 and go up until you hit the blue line

Read the value of y

g(-9) = 1

Answer:

4x²

Step-by-step explanation:

Your equation is 4x² - 6x² + 7x² - 20x² + 19x².

Since they all have the same variable, simply combine them all to find your answer.

4x² - 6x² + 7x² - 20x² + 19x²

-2x² + 7x² - 20x² + 19x²

5x² - 20x² + 19x²

-15x² + 19x²

4x²

Answer:

B =33.69

Step-by-step explanation:

Since this is a right triangle, we can us trig functions

tan B = opposite side/ adj side

tan B = 6/9

Take the inverse tan of each side

tan ^ -1 tan B = tan ^-1 (6/9)

B =33.69006753

To the nearest hundredth

B =33.69

Answer:

33.69°

Step-by-step explanation:

From Trigonometry identity;

Tan<B = 6/9 = 2/3 [opposite/adjacent]

B = Tan^{-1} 2/3

=33.69°

Answer:

10

Step-by-step explanation:

[tex] \frac{ \sqrt{75a} + \sqrt{12a} + \sqrt{27a} }{ \sqrt{3a} } \\ \frac{ \sqrt{(25 \times 3)a} + \sqrt{(4 \times 3)a} + \sqrt{(9 \times 3)a} }{ \sqrt{3a} } \\ \frac{ 5\sqrt{3a} + 2 \sqrt{3a} + 3\sqrt{3a} }{ \sqrt{3a} } \\ \frac{(5 + 2 + 3) \sqrt{3a} }{ \sqrt{3a} } = 10[/tex]

Answer: See below

Step-by-step explanation:

My old math notebook had simillar question,hope that help

√75a+√12a-√27a/√3a

=√a(3*25)+√a(3*4)+√a(3*9)/√3a

=√25*√3a+√4*√3a+√9*√3a/√3a

=(5+2+3)√3a/√3a

=5+2+3=10

Answer:

Annual net salary = $22,584

Step-by-step explanation:

Given:

Monthly wage = $2,350

Withheld paycheck = $468

Find:

Annual net salary = ?

Computation:

Total net salary = Monthly wage - Withheld paycheck

Total net salary = $2,350 - $468

Total net salary = $1,882

Annual net salary = Total net salary × 12

Annual net salary = $1,882 × 12

Annual net salary = $22,584

Answer:

Greater x =+ 7

Lesser x = -7

Step-by-step explanation:

G(x) = -10x2+ 490

Let the left side = 0

So we have

0= -10x2+ 490

Solving the above now by allowing the variable with the coefficient of x cross the equal sign.

10x²= 490

Dividing by 10

X²= 490/10

X² = 49

Taking the root of both sides

X= √49

X = + 7or -7

Bigger x =+ 7

Smaller x = -7

Answer:

Step-by-step explanation:

1. 90

2. 42,49

3. 2860

4. 13cm

5. 16-5=11

6. Sector

7. 1 whole no. 1 divided by 5

8. 7 and 4

9. 3/9

10.57.8

11. 19:20pm

12.

Answer:

Option (A)

Step-by-step explanation:

Two inequalities have been given as,

y > 3x + 6 --------(1)

y < 3x - 7 ------(2)

Inequality (1) shows the solution area shaded in blue, means all the solutions for the inequality will lie in the blue area.

Similarly, solutions of inequality (2) will lie in red area.

No common area for the inequalities.

Therefore, system of inequalities will have no solution.

Option (A) will be the answer.