Mr. Irwin Sold adult tickets

I think its C sorry if its wrong

Using the binomial distribution, it is found that the variance of the number that pass inspection in one day is 5.7.

For each component, there are only two possible outcomes, either it passes inspection, or it does not. The probability of a component passing inspections is independent of any other component, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability, and has variance given by:

[tex]V(X) = np(1 - p)[/tex]

In this problem:

The variance is given by:

[tex]V(X) = np(1 - p) = 120(0.95)(0.05) = 5.7[/tex]

The variance of the number that pass inspection in one day is 5.7.

To learn more about the binomial distribution, you can take a look at https://brainly.com/question/24863377

The sample sizes are quite large, so the central limit theorem applies. (It typically does as soon as the sample size exceeds 30 or so.) This means that the sample mean will be approximately normally distributed with the same mean 22 but standard deviation 3.1/√40 ≈ 0.4902.

Now, if the question is asking about the probability of the sample mean being an exact number, that probability would be zero.

But if you meant to ask something else, like "what is the probability that the sample mean is less than 21?" then we would have a non-zero probability. In this particular case, if Y is a random variable for the sample mean, then

Pr[Y < 21] = Pr[(Y - 22)/(3.1/√40) < (21 - 22)/(3.1/√40)]

… ≈ Pr[Z < -2.0402]

… ≈ 0.0207

Answer:

[tex]\frac{17}4; -\frac{17}3[/tex]

Step-by-step explanation:

Option 1:  check the intersection of the curve with both axis by plugging x=0 (y axis) and y=0 (x axis). You will get

[tex]x=0 \implies 0-3y=17 \rightarrow y=-\frac{17}3\\y=0 \implies 4x-0=17 \rightarrow x=\frac{17}4[/tex]

Option2: (my favourite. Divide by 17 both sides to write the equation as [tex]\frac xp + \frac yq = 1[/tex]: p and q will give you the two intercepts:

[tex]4x-3y=17 \rightarrow \frac{4}{17}x - \frac3{17}y = 1 \rightarrow \frac{x}{\frac{17}4}+ \frac{y}{-\frac{17}3}=1[/tex]

Again, the two intercepts are [tex]\frac{17}4; -\frac{17}3[/tex]

Answer:

The x-intercept is ( 17/4, 0 ), The y-intercept is ( 0, -17/3 ).

Step-by-step explanation:

The y-intercept of a graph is the point of intersection between the y-axis and the graph. Since the y-axis is also the line x = 0,x = 0 in the equation. x-value of this point will always be 0.

x-intercept of a graph is the point of intersection between the x-axis and the graph. Since the x-axis is also the line y=0 y=0y, equals, 0, the y-value of this point will always be

0.

To find the y-intercept, let's substitute x=0 y:4⋅0−3y=17

-3y=17

y = -17/3

​So the y-intercept is (0, -17/3).

To find the x-intercept, let's substitute y = 0 into the equation and solve for x: 4x - (3⋅0) = 17

4x = 17

x = 17/4

So, the x-intercept is (17/4, 0).

In conclusion, The y-intercept is (0, -17/3).

The x-intercept is (17/4, 0).

​

Answer:

Decreasing (2, 6); increasing on (-∞, 2) U (6, ∞)

Step-by-step explanation:

To determine where [tex]f(x)[/tex] is increasing or decreasing, we set [tex]f'(x)=0[/tex] and check for the intervals.

We see that [tex]f'(x)=0[/tex] when either [tex]x=2[/tex] or [tex]x=6[/tex]. Therefore, we'll need to check the intervals [tex](-\infty,2)[/tex], [tex](2,6)[/tex], and [tex](6,\infty)[/tex]

For the interval [tex](\infty,2)[/tex], we can pick [tex]x=0[/tex] . This means that[tex]f'(0)=(2-0)(6-0)=(2)(6)=12>0[/tex], showing that [tex]f(x)[/tex] increases on the interval [tex](-\infty,2)[/tex]

For the interval [tex](2,6)[/tex], we can pick [tex]x=4[/tex]. This means that [tex]f'(4)=(2-4)(6-4)=(-2)(2)=-4<0[/tex], showing that [tex]f(x)[/tex] decreases on the interval [tex](2,6)[/tex]

For the interval [tex](6,\infty)[/tex], we can pick [tex]x=7[/tex]. This means that [tex]f'(7)=(2-7)(6-7)=(-5)(-1)=5>0[/tex], showing that [tex]f(x)[/tex] increases on the interval [tex](6,\infty)[/tex]

Therefore, [tex]f(x)[/tex] is increasing on [tex](-\infty,2)\cup(6,\infty)[/tex] and is decreasing on [tex](2,6)[/tex].

Answer:

2.55km

Step-by-step explanation:

[tex]d=st[/tex]

where:

   d=distance

   s=speed

   t=time

[tex]s=\frac{3.4 \ \text{km}}{\text{hr}}\\[/tex]

[tex]t=0.75 \text{hr}[/tex]

[tex]d=st=(\frac{3.4 \text{km}}{\text{hr}})(0.75 \text{hr}})=2.55 \text{km}\\[/tex]

Answer:

[tex]3\frac{2}{5}[/tex] × [tex]\frac{3}{4}[/tex] [tex]= 2\frac{11}{20}[/tex] km

         = 2.55 km

14

This should be right!

Answer:

8/3

Step-by-step explanation:

x equals 8/3

7x_2_4x_6=0

3x=8 ÷3 in both sides

Answer:

1.5

Step-by-step explanation:

1.47826086

rounded to the nearest tenth is 1.5

Mathew decided to have a picnic with his 4 friends. They were each assigned to bring 10 different foods. The food were to be brought in 15 bags total. How much food are there in each bag in total?

Answer:

6

Step-by-step explanation:

66

Answer:

132

Step-by-step explanation:

f(1) = 9

f(n) = -4f(n-1) + 4

Let n = 2

f(2) = -4f(2-1) + 4 = -4 f(1) +4 = -4(9) +4 = -36+4 = -32

Let n = 3

f(3) = -4f(2-1) + 4 =-4f(2)+4 =  -4 (-32) +4 = 128+4=132

Answer:

4900

Step-by-step explanation:

70^2 means 70*70

70*70=4900

Answer:

you will do 70 times 70 because 70^2 is 70 times 70 which is 4,900.

Applying the Corresponding Angles Theorem, the measure of ∠MLK = 84°

Recall:

Corresponding angles are congruent, that is, their angle measures are equal based on the corresponding angles theorem.

The diagram given, showing triangle KLM is in the image attached below.

m∠MLK and m∠MON are corresponding angles, therefore:

m∠MLK =m∠MON

3 x + 75 = 93 − 3 x

3x + 3x = 93 - 75

6x = 18

x = 3

m∠MLK = 3 x + 75

m∠MLK = 3(3) + 75

m∠MLK = 84°

Therefore, applying the Corresponding Angles Theorem, the measure of ∠MLK = 84°

Learn more about the Corresponding Angles Theorem on:

https://brainly.com/question/5221905

Answer:

80

Step-by-step explanation:

25 percent is equal to 1/4

1/4 of 80 is 20

Answer:

80

Step-by-step explanation:

Answer:

Exponents

Step-by-step explanation:

Parentheses

Exponents and roots

Multiplication

Division

Addition

Subtraction

Answer:

-20.54 C

Step-by-step explanation:

Form an equation

-12.94 C = initial temperature

changes -1.9 per hour = -1.9h

h = hour

x = temperature after 4 hours

-12.94 -1.9h = x

substitute 4 for "h"

-12.94-1.9(4) = x

x = -20.54C

Answer:

Step-by-step explanation:

Just multiply -1.9 by 4 then add it to 12.94

Answer:

Select all the correct answers.

Which three equations are equivalent to 1 +3|x-21 = 16?

O

X-2 = -5 or x - 2 = 5

X=-3 or x = 7

O

|x+2) = 5

0

x+2 = -5 or x+ 2 = 5

0

O

x=3 or x= -7

O

| x-2= 5

Answer:

[tex]a. \ (x-2)(x+i)(x-i)[/tex]

Step-by-step explanation:

First of all let's notice that [tex](x-i)(x-i)=(x-i)^2 = x^2+2xi-1 \in \mathbb{C}[/tex] while our original polynomial is real. So we can rule out the even options B and D. At this point, if the polynomial has a factor of [tex](x-\alpha)[/tex] it means tha [tex]\alpha[/tex] is a zero of the polynomial. Let's check both 2 (for option a) and -2 (for option c)

[tex]p(2)=2^3-2(2)^2+2-2= 8-8+2-2=0[/tex]

[tex]p(-2)= (-2)^3-2(-2)^2+(-2)-2=-8-8-2-2=-20[/tex]

At this point 2 is a zero, and our final factoring is a[tex](x-2)(x+i)(x-i)[/tex]

Answer:

See below

Step-by-step explanation:

The function [tex]f(x)=sin(x)[/tex] oscillates between -1 and 1, so the range is [tex]-1\leq x\leq 1[/tex].

Answer:

[tex]y = -x - 7[/tex].

Step-by-step explanation:

Slope of the given line segment:

[tex]\begin{aligned} m_{1} = \frac{(-5) - (-1)}{(-6) - (-2)} = 1\end{aligned}[/tex].

The slope of any line perpendicular to this line segment would be:

[tex]\begin{aligned}m_{2} &= \frac{-1}{m_{1}} = -1\end{aligned}[/tex].

Midpoint of the given line segment:

[tex]\displaystyle \left(\frac{(-2) + (-6)}{2},\, \frac{(-1) + (-5)}{2}\right)[/tex].

Simplifies to get:

[tex](-4,\, -3)[/tex].

Find the equation of the perpendicular bisector in point-slope form and simplify.

[tex]y - (-3) = (-1)\, (x - (-4))[/tex].

[tex]y + 3 = -x - 4[/tex].

[tex]y = -x - 7[/tex].

Answer:

1) 1584.72

2) 4811.2

3) 2381.721

4) 1672.376

5) 3901.59

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

Answer:

Brandon will make 9 dollars an hour while he works at the resturant

Step-by-step explanation:

63/7=9

Hi!

If he got paid $63 an hour, and he worked 7 hours, we just have to simply divide 63 by 7.

7 goes into 63 nine times, therefore he makes $9 per hour.

Hope this helps and let me know if you need any other help! :D

- 2x + 4 = 14

- 2x = 14 - 4

- 2x = 10

x = 10 / - 2

#FromIndonesia

Answer: x= 1.9

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

3x - 8 = 13,

1st, add 8 to the other side. Therefore 8 + 13 which is 21.

2nd, divide 3 from 3x and 3 from 21.

3rd you receive the answer which is 7