Answer:
Step-by-step explanation:
From the given information:
Assume X represents the no. interviewed until 1 has advanced training.
X obeys a Geometric distribution with parameter 0.3.
X [tex]\sim[/tex] Geom (0.30)
For geometric distribution, the probability density is:
[tex]P(X =x) = p(1-p) ^{x-1} \ \ \ where; x =1,2,3...[/tex]
TO calculate the required probability;
[tex]P(X =5) =0.30 (1-0.30)^{5-1}[/tex]
[tex]P(X =5) =0.30 (0.70)^{4}[/tex]
[tex]P(X=5) = 0.30 \times 0.2401[/tex]
[tex]\mathbf{P(X=5) = 0.07203}[/tex]
(b)
The expected no. of applicants that need to be interviewed are:
[tex]E(X)=\dfrac{1}{p}[/tex]
[tex]E(X)=\dfrac{1}{0.30}[/tex]
E(X) = 3.33
(c)
The mean and the variance can be computed as:
[tex]E(Y) = \dfrac{1}{p}[/tex]
[tex]E(Y) = \dfrac{1}{0.30}[/tex]
E(Y) = 3.33
[tex]V(Y)=\dfrac{1-p}{p^2}[/tex]
[tex]V(Y)=\dfrac{1-0.3}{0.3^2}[/tex]
[tex]V(Y)=\dfrac{0.7}{0.3^2}[/tex]
[tex]V(Y)=7.778[/tex]
Suppose C represents the no. of the total cost and given that each interview costs $30.
Then C = 30Y
Recall that; C is constant for a random variable X
∴
E(C) = E(30Y)
E(C) = 30E(Y)
E(C) = 30*3.33
E(C) =99.9
E(C) [tex]\simeq[/tex] 100
V(C) = V(30Y)
V(C) = 900 V(Y)
V(C) = 900*7.778
V(C) = 7000.2
V(C) [tex]\simeq[/tex] 7000
What is x when 44x=78
Answer:
≈ 1.77
Step-by-step explanation:
So we are looking for x in 44(x) = 78.
All we have to do is isolate the variable, get x by itself.
Divide 44 by both sides :
[tex]\frac{44x}{44} = \frac{78}{44}[/tex]
[tex]x = 1.772727272723[/tex]
Which can be rounded to ≈ 1.77
On a scale drawing, the scale is 12 inch = 1 foot. What are the dimensions on the scale drawing for a room that is 22 feet by 17 feet?
Answer:
......
Step-by-step explanation:
Answer
11 inches by 8.5 inches
Step-by-step explanation:
We can use proportions to solve this problem, drawing on top, real life on bottom
1/2 inch x inches
-------------- = ----------
1 ft 22ft
Using cross products
1/2 * 22 = x*1
11 =x
11 inches
1/2 inch x inches
-------------- = ----------
1 ft 17ft
Using cross products
1/2 * 17 = x*1
8.5 =x
Help please!!!! Ahahha help me
In the triangle below,
x= [ ? ]°. Round to the nearest tenth. ANSWER ASAP!!!
Answer:
2
Step-by-step explanation:
Answer:
Your answer would be 2
Step-by-step explanation:
I would explain but its too hard
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Evaluate the following expression. 7^0
2.5= -2B+6 I will give branlyest
Answer: B=1.75
jhgvfcdszdftgyhujikolp
Answer:
1.75
Step-by-step explanation:
I need help only gives me 3/3 marks
angle EFB= 75°= Angles on a straight line add up to 180°
x= 75°= Corresponding angles.
what is 235% of 82
please hurry!!
Answer:
192.7
Step-by-step explanation:
Why do you think it’s important for students to learn about math
Answer:
Step-by-step explanation:
Math is in our everyday lives. We calculate and use math in our daily lives without knowing it. By learning math, we build on useful knowledge that will help us have a better future. For example, learning how to pay taxes acquire math. Grocery shopping needs you to find the cost of the product you’re buying. When we learn math, we gain knowledge and we can pass that knowledge to our future generations so more and more people can use it to find better jobs, make your life easier, and so much more. Therefore, that is why it is important for students to learn about math.
Please join help quickly
Answer:
A hope its right!!
Step-by-step explanation:
Have a good day!
Gabriel went shopping for a new camera. The listed price of the camera was $37, but the price with tax came to $40.33. Find the percent sales tax.
Answer: 9% sales tax
Step-by-step explanation: 40.33-37=3.33
so, now we got to divide 3.33 by 37 (3.33/37) and that = 0.09. Now we got to do 0.09x100 and you get 9%. So basically, subtract, divide, and multiply by 100
A sign says that the price marked on all music equipment is 30℅ off the original price. you buy an electric guitar for the sale price of $315. How much money did you save
Use the protector to measure the angle.
Answer:
Your answer is 140 degree
Hope that this is helpful. Tap the crown button, Like & Follow me
Need help supper fast pls
Please best awnswer gets brainliest
Answer: he was a stranger or a hunter
Step-by-step explanation: I think this because it says that they covered him with their muskets and muskets are obviously kind of gun, so it had to be a stranger or hunter. hope this helped if not sorry
Please answer quick I give 20 points
Answer: The answer is A
Step-by-step explanation:
im 99% sure that this is the correct answer
Answer: You are correct. The answer is choice A. Nice work.
Explanation:
Assuming Ramon did his steps correctly, ending up with 53 = 477 means that the original equation doesn't have any solutions.
Consider an example such as x+5 = x+6
We can subtract x from both sides to end up with 5 = 6, but that's a false statement. So no value of x can be plugged into x+5 = x+6 to lead to a solution. This idea applies to Ramon's original equation. The equation 53 = 477 is a contradiction (the left side contradicts the right side since the numbers don't match).
What is a formula for the nth term of the given sequence?
3,5,7...
Answer:
You can always find the 'nth term' by using this formula: nth term = dn + (a - d) Where d is the difference between the terms, a is the first term and n is the term number.
(8x^2 – 7x – 2) – (6x^2 – x + 3)
Answer: = -2x-5
Step-by-step explanation:
The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2 hours. Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 7th percentile of the data is 16 hours. Step 2 of 5 : Approximately how many families are in the sample
Answer:
There are approximately 343 families in the sample.
Step-by-step explanation:
xth percentile:
A measure is said to be in the xth percentile if it is greater than x% of the measures.
Twenty-four of the families in the sample turned on the television for 16 hours or less for the week. The 7th percentile of the data is 16 hours.
This means that 7% of the sample size n is 24. So
[tex]0.07n = 24[/tex]
[tex]n = \frac{24}{0.07}[/tex]
[tex]n = 342.86[/tex]
Rounding up, there are approximately 343 families in the sample.
Solve the equation. Show your work, or explain your reasoning.
-3x - 5 = 16
Find x. (More info in the pic)
Help ASAP!! I will mark you brainliest
Answer:
2 turning points
Step-by-step explanation:
There are two places where the graph goes from increasing to decreasing then back to increasing. Hope this helps :)
Marian is making bread, she has 2 4/7 pounds of flour in her pantry. When making the bread, she will use ⅓ of the flour in the pantry. The amount of salt in the recipe is ⅓ of the amount of flour in the recipe. How much salt will Marian need to make bread?
What percent of 84 is 12? Round to the nearest whole number.
please hurry! i have until 2:15 and it’s 2:12!!
The tickets for the school play are $7.00 for adults and $5.00 for students. There were 100 tickets sold. If the total profit was $550.00, how many of each were sold?
Answer:
25 adult tickets and 75 student tickets were sold.
Step-by-step explanation:
Given that the tickets for the school play are $ 7.00 for adults and $ 5.00 for students, and that there were 100 tickets sold generating a total profit of $ 550.00, to determine how many of each were sold the following calculation must be performed:
100 x 5 = 500
550 - 500 = 50
7 - 5 = 2
50/2 = 25
100 - 25 = 75
(25 x 7) + (75 x 5) = X
175 + 375 = 550
Therefore, 25 adult tickets and 75 student tickets were sold.
What is the classification of the pair of angles shown?
(5 Points)
34°
146°
Answer: its H
Step-by-step explanation:meaning its Supplementary
Which is used to determine if a relation is a function?
a.)3d line test
b.)horizontal line test
c.)diagonal line test
d.)vertical line test
Answer:D
Step-by-step explanation:
Can you help me find surface area of this prism?
Answer:
400 cm²
Step-by-step explanation:
Triangles: 1/2x15x8=60 (two of those)
Base: 8x7=56
Back: 15x7=105
Sloped side: 7x17=119
60+60+56+105+119=400 cm²
NEED HELP AAAH!!!!!!!!
Answer:
x = 13
Step-by-step explanation:
We have the expression -26 - 2x = 13 - 5x and are asked to solve for x.
To solve we need to isolate x.
-26 -2x = 13 - 5x
Add 26 to both sides :
-2x = 39 - 5x
Add 5x to both sides :
3x = 39
Divide 3 from both sides :
x = 13