Answer:
[tex]\frac{116}{159} = 0.7296[/tex] probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Has a graduate degree.
Event B: Has over 10 years of experience.
Out of 469 applicants for a job, 159 have over 10 years of experience and 116 have over 10 years of experience and have a graduate degree.
This means that:
[tex]P(A) = \frac{159}{469}[/tex]
[tex]P(A \cap B) = \frac{116}{469}[/tex]
Desired probability:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{\frac{116}{469}}{\frac{159}{469}} = \frac{116}{159} = 0.7296[/tex]
[tex]\frac{116}{159} = 0.7296[/tex] probability that a randomly chosen applicant has over 10 years of experience, given that the applicant has a graduate degree.
Please help with this question
Answer:
hi Step-by-step explanation:April 12, 1861: Battle of Fort Sumter. ...
June 30, 1861: Battle of Philippi. ...
July 21, 1861: First Battle of Bull Run/First Battle of Manassas. ...
August 28-29, 1861: Battle of Hatteras Inlet Batteries. ...
October 21, 1861: Battle of Ball's Bluff. ...
November 7, 1861: Battle of Belmont. ...
January 19, 1862: Battle of Mill Springs.
Please please please help no link no links no links
Answer:
400
Step-by-step explanation:
V = a² * h/3
Plug in your values:
V = 10² * 12/3
Then solve:
100 * 4 = 400
Cylinder A has radius r and height h as shown in the diagram. Cylinder B has radius 2r and height 2h. How many times greater is the surface area of Cylinder B than the surface area of Cylinder A?
I will ONLY give you a brainliest of you answer this questions CORRECTLY!
Answer:
Therefore, Cylinder B's surface area is four times greater than Cylinder A's surface area.
Step-by-step explanation:
Surface area of a cylinder = 2πrh+2πr² = 2π(rh+r²)
Cylinder A = 2π(rh+r²)
Cylinder B = 2π((2r)(2h)+(2r)²) = 2π(4rh+4r²)=2π(4(rh+r²))
To find how many times greater Cylinder B's surface area is than Cylinder A's surface area, divide:
[tex]\frac{Cylinder B}{Cylinder A}[/tex]
=2π(4(rh+r²))/2π(rh+r²)
(divide top and bottom by 2π)
=4(rh+r²)/(rh+r²)
(divide top and bottom by (rh+r²))
=4
Therefore, Cylinder B's surface area is four times greater than Cylinder A's surface area.
convert 2x + y = -1 to slope intercept form
Answer:
y=-2x-1
Step-by-step explanation:
Your goal from Standard form to slope intercept form is to have the x on the right side of the equal sign. All you have to do is subtract 2x from both sides and you end up with y= -2x-1
Given the definitions of f(x) and g(x) below, find the value of (g o f) (-3)
f(x)=2x^2+6x+9
g(x)=3x-6
Answer:
21
Step-by-step explanation:
(g o f) (-3) = g ( f(-3) )
First, let's find f(-3):
f(x)=2x²+6x+9
f(-3)=2(-3²)+6(-3)+9
f(-3)=18-18+9
f(-3)=9
Now that we know the value of f(-3), we can sub this into g(f(-3)):
g ( f(-3) ) = g(9)
Find g(9):
g(9)=3x-6
g(9)=3(9)-6
g(9)=27-6
g(9)=21
An official for a national dog show studies the characteristics of one breed of dog, the Dandie Dinmont Terrier. Two common measurements are the height and weight of the dog, and the official would like to develop a model that would be helpful in predicting weight based on a given height. The official first makes a scatterplot that relates height and weight, then another that compares the logs of each measurement.
A graph titled Dandie Dinmont Terrier height versus weight has height (inches) on the x-axis, and weight (pounds) on the y-axis. The points curve up.
A graph titled Dandie Dinmont Terrier log height versus log weight has log (height) on the x-axis, and log (weight) on the y-axis. The points curve up.
Based on the graphs, which type of model is likely appropriate for predicting weight from height?
A linear model is appropriate because the graph of the transformed data is roughly linear.
A power model is appropriate because the scatterplot of height versus weight appears curved.
A power model could be appropriate because the scatterplot of log height versus log weight is roughly linear. The next step is to look at the residual plot.
An exponential model is appropriate because the scatterplot of log height versus log weight has a stronger linear relationship than the scatterplot of the non-transformed data.
Based on the graphs provided its is seen that, a power model could be appropriate because the scatter plot of log height versus log weight is roughly linear. Therefore, option C is the correct answer.
Scatter plots are used to observe and plot relationships between two numeric variables graphically with the help of dots. The dots in a scatter plot shows the values of individual data points.
Based on the graphs provided its is seen that, a power model could be appropriate because the scatter plot of log height versus log weight is roughly linear. The next step is to look at the residual plot.
Therefore, option C is the correct answer.
To learn more about the scatter plot visit:
https://brainly.com/question/29231735.
#SPJ1
PLS HELPPP GEOMETRY!!!!!!
You are on a fishing boat that leaves its pier and heads east. After traveling for 24 miles, there is a report warning of rough seas directly south. The captain turns the boat and follows a bearing of S45°W for 13.4 miles.
a. At this time, how far are you from the boat's pier?
b. What bearing could the boat have originally taken to arrive at this spot?
Answer:
a-17.3 miles b-S57 E
Step-by-step explanation:
d^2=30^2+12^2-2(30)(12)
sin45
Factor out the greatest common monomial factor from polynomial. Show your work or explain your reasoning
Answer:
7(1 +3x)
Step-by-step explanation:
The simplest monomial is a constant that is a prime number. That constant is a factor of the coefficient of the only other monomial in the expression, so it can factored from both terms.
= 7 + 7·3x
= 7(1 +3x)
Karin has 7 more pieces of candy than Danny. Danny has d pieces of candy. Karin uses the expression 7 + d to figure out how many pieces of candy she has.
How many pieces of candy does Karin have if d = 4?
A. 2
B. 28
C. 3
D. 11
Answer:B
Step-by-step explanation:
If d=4 and Danny has 7 more peices all you have to do is multiply. 7x4 and that equals 28
So the final answer is 28 which is choice B
Solve. Write or draw to explain. Amy has 12 stickers. Jen has 9 stickers. They place 7 stickers on each page of a book. How many pages are in the book? Math Spot thpicks
Answer:
There's 3 pages in the book
Step-by-step explanation:
You add both of the amounts of stickers (12+9=21), then you divide by the amount on each page (21÷7=3)
Hope this helped!
WILL GIVE BRAINLIEST to whoever solves this entire problem (completes all the steps). I WILL REPORT if you just steal the points without giving an answer. I know this is really long but I really need help on this and am low on time. To whoever answers this, thank you so much, you are a life saver.
We created this inequality to represent how Amy can meet her revenue goals:
-100x2 + 15,750x + 212,500 ≥ 243,600
In this activity, you’ll solve this inequality to find the minimum ticket price Amy should charge to meet her minimum revenue goal.
Step 1: set the inequality greater than or equal to zero
Step 2: simplify the inequality by dividing by the GCP so the leading coefficient is positive
Step 3: factor the left side of the inequality by grouping
Step 4: solve the quadratic inequality. Remember to check any possible solutions for viability.
Step 5: what is the minimum number of $2 increases that Amy needs to apply to the ticket price to reach her desired revenue?
Step 6: What’s the minimum ticket price that Amy can charge and reach her goal? Recall that the ticket price is represented by 25 + 2x, where x represents the number of $2 increases.
Seriously thank you to anyone who does this. I am low on time and this helps a bunch.
Trust me these are the correct answers :)
Answer:
Part A: -100x2 + 15,750x − 31,100 ≥0
Part B: 2x2-315x+622 ≤0
Part C: (2x-311)(x-2) ≤0
Part D:2 ≤ x ≤ 155.5
Part E: We know x = number of $2 increases. So, from the compound inequality, 2 ≤ x ≤ 155.5, we can conclude that the minimum possible value of x is 2.
Part F: 29
Does (2, 3) make the inequality 2x + 5y < 20 true?
yes
no
Answer:
Yes
Step-by-step explanation:
The left side 19 is less than the right side 20 , which means that the given statement is always true.
Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
Answer:
Long = 5√3
Step-by-step explanation:
Hypotenuse = 10
Short = 5
Long = ?
Apply Pythagorean theorem to find Long:
Long² = hyp² - short²
Long² = 10² - 5²
Long² = 100 - 25
Long² = 75
Long = √75
Long = √(25*3)
Long = 5√3
which expression can be used to find the surface area of the following triangular prism. choose 1 answer.
Answer:
A is in fact correct.
Step-by-step explanation:
Maria needs to be at the airport terminal at 18:45. It will take 2 3/4 hours to drive to the airport from her home, and a further 40 minutes to park and get to the terminal.
What is the latest time she should leave home?
Give your answer as a time in the 24-hour clock.
Answer:
18:45
Step-by-step explanation:
The range of a data set is 18 . If the smallest number in the set is 9 what is the largest?
Answer:
So you start off with 9, we know that the range is 18, so you do 9 + 18 = 27, So the largest number in the set would be 27 .
GIVING AWAY BRAINLIEST TO FIRST AND CORRECT ANSWER!!! Rewrite the following function in slope intercept form.
an=3+(n-1)(-6/7)
OPEN ENDED WHOEVER ANSWERS BEST GETS BRAINLIEST
Answer:
PP power
Step-by-step explanation:
:)
Answer:
Step-by-step explanation:
Slope = -6/7
(1,3) and (2,15/7) are points on the line.
y-3 = -(6/7)(x-1)
y = -(6/7)x + 21/7
please help me fast thanks
Answer:
1.86/2 = 0.93/2 = 0.465/2 = 0.2325
Step-by-step explanation:
Can someone explain the answer Im lost
Answer:
1/4
Step-by-step explanation:
Probability of getting an odd number on a die = 3/6 = 1/2
Probability of getting tails on a coin = 1/2
Now you multiply both probabilities since the question says "and". If it says "or", then you add the probabilities.
1/2 × 1/2 = 1/4
a rectangular piece of cardboard measuring 30 inches by 20 inches is made into an open box by first cutting an identical square from each corner and then folding up the sides. The edge of each identical square is a whole number.
find the centre and radius of the following Cycles 9 x square + 9 y square +27 x + 12 y + 19 equals 0
Answer:
Radius: [tex]r =\frac{\sqrt {21}}{6}[/tex]
[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]
Step-by-step explanation:
Given
[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]
Solving (a): The radius of the circle
First, we express the equation as:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where
[tex]r = radius[/tex]
[tex](h,k) =center[/tex]
So, we have:
[tex]9x^2 + 9y^2 + 27x + 12y + 19 = 0[/tex]
Divide through by 9
[tex]x^2 + y^2 + 3x + \frac{12}{9}y + \frac{19}{9} = 0[/tex]
Rewrite as:
[tex]x^2 + 3x + y^2+ \frac{12}{9}y =- \frac{19}{9}[/tex]
Group the expression into 2
[tex][x^2 + 3x] + [y^2+ \frac{12}{9}y] =- \frac{19}{9}[/tex]
[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]
Next, we complete the square on each group.
For [tex][x^2 + 3x][/tex]
1: Divide the [tex]coefficient\ of\ x\ by\ 2[/tex]
2: Take the [tex]square\ of\ the\ division[/tex]
3: Add this [tex]square\ to\ both\ sides\ of\ the\ equation.[/tex]
So, we have:
[tex][x^2 + 3x] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}[/tex]
[tex][x^2 + 3x + (\frac{3}{2})^2] + [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]
Factorize
[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y] =- \frac{19}{9}+ (\frac{3}{2})^2[/tex]
Apply the same to y
[tex][x + \frac{3}{2}]^2+ [y^2+ \frac{4}{3}y +(\frac{4}{6})^2 ] =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ (\frac{3}{2})^2 +(\frac{4}{6})^2[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =- \frac{19}{9}+ \frac{9}{4} +\frac{16}{36}[/tex]
Add the fractions
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{-19 * 4 + 9 * 9 + 16 * 1}{36}[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{21}{36}[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{4}{6}]^2 =\frac{7}{12}[/tex]
[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]
Recall that:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
By comparison:
[tex]r^2 =\frac{7}{12}[/tex]
Take square roots of both sides
[tex]r =\sqrt{\frac{7}{12}}[/tex]
Split
[tex]r =\frac{\sqrt 7}{\sqrt 12}[/tex]
Rationalize
[tex]r =\frac{\sqrt 7*\sqrt 12}{\sqrt 12*\sqrt 12}[/tex]
[tex]r =\frac{\sqrt {84}}{12}[/tex]
[tex]r =\frac{\sqrt {4*21}}{12}[/tex]
[tex]r =\frac{2\sqrt {21}}{12}[/tex]
[tex]r =\frac{\sqrt {21}}{6}[/tex]
Solving (b): The center
Recall that:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
Where
[tex]r = radius[/tex]
[tex](h,k) =center[/tex]
From:
[tex][x + \frac{3}{2}]^2+ [y +\frac{2}{3}]^2 =\frac{7}{12}[/tex]
[tex]-h = \frac{3}{2}[/tex] and [tex]-k = \frac{2}{3}[/tex]
Solve for h and k
[tex]h = -\frac{3}{2}[/tex] and [tex]k = -\frac{2}{3}[/tex]
Hence, the center is:
[tex]Center = (-\frac{3}{2}, -\frac{2}{3})[/tex]
You want to put a 5 inch thick layer of topsoil for a new 26 ft by 27 ft garden. The dirt store sells by the cubic yards. How many cubic yards will you need to order? The store only sells in increments of 1/4 cubic yards.
Answer:
Step-by-step explanation:
he volume of the topsoil is
28 ft by 21 ft by 5/15 ft = 245 cubic feet
There are 27 cubic feet in one cubic yard.
245/27 = 9.074074074.... = 9.074
Need 9.25 = 9 and 1/4 cubic yards
I need help which is it?
C - 29 Inch as if you go up of 7.
The perimeter of a rectangle is 56mm. Three of the sides have a length of 15mm, 13mm, and 15mm. What is the side length?
The graph for y≥-3.
true
false
helpp me
Answer:
I think it's false
Step-by-step explanation
write the following ratios in their simplest form 32: 24: 40
Answer: 4, 3, 5
Step-by-step explanation: Just simplify by dividing
Andrew wrote the number 186,425 on the board. In which number is the value of the digit 4
exactly 100 times the value of the digit in the number Andrew wrote?
A 681,452
B 462,017
C 246,412
D 124,655
Answer:
C
Step-by-step explanation:
The four is in the hundreds so times one hundred it'd be in the 10,000 so it is C.
In ΔGHI, the measure of ∠I=90°, HI = 1.1 feet, and IG = 7.5 feet. Find the measure of ∠G to the nearest tenth of a degree.
Answer:
8.3
Step-by-step explanation:
HELP HELP 20 Points
Geometry
270° → [tex] \frac{3π}{2} [/tex] ≈ 4.7
360° → [tex] 2π [/tex] ≈ 6.3
60° → [tex] \frac{π}{3} [/tex] ≈ 1.1
45° → [tex] \frac{π}{4} [/tex] ≈ 0.8
135° → [tex] \frac{3π}{4} [/tex] ≈ 2.4
225° → [tex] \frac{5π}{4} [/tex] ≈ 3.9
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
Is it multiple choice? If it is then it’s B and D
Step-by-step explanation: