Answer:
0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.
Step-by-step explanation:
For each graduate, there are only two possible outcomes. Either they entered a profession closely related to their college major, or they did not. The probability of a graduate entering a profession closely related to their college major is independent of other graduates. This, coupled with the fact that they are chosen with replacement, means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
53% reported that they entered a profession closely related to their college major.
This means that [tex]p = 0.53[/tex]
9 of those survey subjects are randomly selected
This means that [tex]n = 9[/tex]
What is the probability that 3 of them entered a profession closely related to their college major?
This is P(X = 3).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{9,3}.(0.53)^{3}.(0.47)^{6} = 0.1348[/tex]
0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.
(no link please)
HELPPP
Ok i think i can help, 90-30=60, and 60/3=20, so the answer would be 70!
I need help on this and I don't know how to do this.
Please Help
9514 1404 393
Answer:
-8, 36, -5Step-by-step explanation:
This sort of pattern is used in the factoring of trinomials. Typically, the top quadrant holds the product you're trying to factor. The bottom quadrant holds the sum of the factors. The factors appear on the left and right in no particular order.
__
1) You're looking for factors of -24 that have a sum of -5. It can be useful to simply list the factor pairs. Since you want a negative sum, you may want to start with the most negative factors and work up from there.
-24 = (-24)(1) = (-12)(2) = (-8)(3) = (-6)(4)
The sums of these factor pairs are -23, -10, -5, -2. Obviously, the pair we're interested in is the one with a sum of -5: (-8) +(3).
So, the left- and right-quadrants are filled with -8 and 3.
Blank 1 = -8
Blank 2 = 3
__
2) You are given the factors, so all you need to do is form the product and sum.
Blank 1 = (-3)(-2) = 6
Blank 2 = (-3) +(-2) = -5
_____
Additional comment
Any sort of factoring is much easier to do if you have memorized your multiplication tables, preferably through 12×12. It is also helpful if you're familiar with divisibility rules—at least for single-digit numbers. I've seen college students struggle trying to do factoring using a calculator. It's not pretty. Many folks learn their times tables up to 10×10 by the end of 3rd grade.
Answer:
Blank 1: -8
Blank 2: 3
Step-by-step explanation:
Sorry if i'm late on this but it is the same X method concept. -8 and 3 add up to get -5, and they multiply to get -24
the answer is NOT.. C. please help .
Answer:
Option B
Step-by-step explanation:
First term of the given arithmetic sequence 'a' = -3
Common difference in each successive term 'd' = -8 - (-3)
d = -5
Explicit formula for an arithmetic sequence will be,
[tex]A_n=a+(n-1)d[/tex]
Here, n = number of term
[tex]A_n[/tex] = nth term of the sequence
[tex]A_n=(-3)+(n-1)(-5)[/tex]
For n = 23,
[tex]A_{23}[/tex] = -3 + (23 - 1)(-5)
= -3 - 110
= -113
Option B is the answer.
lol please help !!!!!!!
I’ll give points and brainalist for correct answer
Answer:
A. 2
Step-by-step explanation:
Circumference of a circle = 2πr
if π = 3.14
and C = 6.28
6.28 = 2(3.14)r
r= 1
d= 2r
d= 2 * 1
d= 2
Charles sells computer hardware for a computer manufacturer. He is paid 4% for
the first $8,000 of sales, 6% on the next $10,000, and 8.5% on sales over
$18,000. What is his commission on $16,250 in sales? *
Help this is due today
Please help!! No links
9514 1404 393
Answer:
10.5
Step-by-step explanation:
Corresponding sides of similar triangles are proportional, so ...
ZX/ZY = CA/CB
ZX = Zy(CA/CB) = 14(3/4)
ZX = 10.5
Which is the graph of the line given below? *
y=2/3x-5
To make this graph the first step is to look at the slope-intercept form
- we see that 2/3 is the slope and -5 is the y-intercept (the point on the y-axis)
So, now you can find the y-intercept on the graph (-5) and make a dot there
Next, move right 3 and up 2 and repeat until you have enough points to make a line :)
graph below- hope this helps :)
How many square feet of outdoor carpet will we need for this hole?
Answer:
The feet square of the outdoor carpet you will need for the hole is 30 feet.Shiro and Tatiana weighed some pebbles in
science class. They made a line plot to display
their data. Use the line plot to answer
Answer:
The answer is below
Step-by-step explanation:
a) Of the pebbles that were measured, which weight occurs the least?
Soln.: From the line plot, we can see that 3 ounce occurred once, 3 1/2 ounce occurred 4 times, 4 ounce occurred 3 times, 4 1/2 ounce occurred 5 times, 5 ounce occurred 2 times, 5 1/2 ounce occurred 3 times, 6 ounce occurred 2 times.
Therefore 3 ounce occurred the least.
b) What is the total weight of the pebbles represented by the data?
Soln.: The total weight is:
Total weight = (3*1) + (3 1/2 * 4) + (4 * 3) + (4 1/2 * 5) + (5 * 2) + (5 1/2 * 3) + (6 * 2) = 90 ounce
c) Is there an outlier in the data set? If so what number is the outlier?
Soln.: There is no outlier in the data set because all the data are close to each other.
x=3y−5 2x+12y=-4 please solve the system of equations and show your work
sub x = 3y - 5 into equation 2
2(3y - 5) + 12y = -4
6y - 10 + 12y + 4 = 0
18y - 6 = 0
18y = 6
y = 6/18
y = 1/3
sub y = 1/3 into equation 1
x = 3(1/3) - 5
x = 1 - 5
x = -4
What I need to know is the math problem...lol
Answer:
100k each without tax + interest
Step-by-step explanation:
Can someone please help me?
I will try i had this unit last year, basically the diameter is 5 in this problem, which you multiply by pi (in this case I will use 3.14 as the shortened version since its on-going) which gives you 15.7, then you multiply that by 3 in this problem to get 47.1!
Answer:
Step-by-step explanation:
Volume of a cylinder formula = πr^2h
r (radius) = 5/2 = 2.5
h (height) = 3
Answer: 3π(2.5)^2 = 3π(6.25) = 18.75π cubic units
You roll a die. What's the theoretical probability of rolling a number greater than 2?
Answer: if the dice is six sided you have 4 chances to roll a higher number
Step-by-step explanation:
Answer:
3 in 36
Step-by-step explanation:
assuming a fair die you have three possible odd numbers out of six total possible outcomes so the probability is 0. the prob ability of getting an even number greater than 2 when rolling standard die must be 1/3. The probability of doing both, on two rolls, is 3 in 36, or 1 in 12.
Mike wants to find the volume of 4 basketballs. If each basketball has a radius of 4.5
in, what would the volume of 4 basketballs be?
El precio de cada acción de una empresa de tecnología ha presentado a través del tiempo un comportamiento dado por la siguiente función:
Donde t es el tiempo dado en días y A es el precio de la acción inicial cuando t = 0. Un inversionista desea conocer el número de días para el cual el valor de la acción se duplica. Para conocer este resultado, el proceso que se debe realizar es reemplazar f(t) por
A.
A/2, luego, expresar la ecuación en forma de logaritmo natural y ahora despejar t.
B.
2A, luego, expresar la ecuación en forma de logaritmo natural y ahora despejar t.
C.
2A, luego, dividir ambos lados de la ecuación por e y ahora despejar t.
D.
A/2, luego, dividir ambos lados de la ecuación por e y ahora despejar t.
I will ask you to turn it in english instead of española.
Solve the system of equations
4x+3y=16
y=x+3
X=
Y=
First you substitute.
[tex]4x+3(x+3)=16\\4x+3x+9=16\\7x=7\\x=1\\y=4[/tex]
Answer:
x = 1 and y = 4
Step-by-step explanation:
Because y = x + 3 we can substitute 3y with 3(x + 3)
4x + 3(x + 3) = 16
4x + 3x + 9 = 16
7x + 9 = 16
7x + 9 - 9 = 16 - 9
7x = 16 - 9
7x = 7
7x ÷ 7 = 7 ÷ 7
x = 7 ÷ 7
x = 1
Since y = x + 3 and x = 1 y = 4.
1 + 3 = 4
x = 1 and y = 4
Check:
x = 1 and y = 4
1 x 4 + 3 x 4 = 16
4 + 12 = 16
Carbon 14 (14C) dating assumes that the carbon dioxide on Earth today has the same radioactive content as it did centuries ago. If this is true, the amount of 14C absorbed by a tree that grew several centuries ago should be the same as the amount of 14C absorbed by a tree growing today. A piece of ancient charcoal contains only 12% as much radioactive carbon as a piece of modern charcoal. How long ago was the tree burned to make the ancient charcoal given that the half-life of 14C is 5700 years? (Round your answer to the nearest whole number.)
You can download answer here
tinyurl.com/wpazsebu
please help !!! Which statement regarding the number of solutions for the linear equation shown below is true?
Which statement regarding the number of solutions for the linear equation shown below is true?
Answer:
A-There is no solution
Step-by-step explanation:
There are no values of x
HOPE THIS HELP!!!1
Find the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean.
Answer:
the sum of deviation of all observations of the data 5, 8, 10, 15, 22 from their mean. =26
Step-by-step explanation:
Mean=sum of observation/ No. of observation
={5+8+ 10+ 15 + 22}/5
=60/5=12
Sum of deviations
= |5- 12| + |8 – 12| + |10- 12| + |15- 12| + |22-12|
= 7+4+2+ 3+ 10
= 26
On Saturday, Ahmed walks his dog 0.5 mile. On the same day, Latisha walks her dog 0.7 times as far as
Ahmed walks his dog.
How far does Latisha walk her dog on Saturday?
Latisha walks her dog mile(s) on Saturday. I have it due by tomorrow at 7 am please help, don’t put the links!!
HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!
Answer:
[tex](21in,30in)=>210in^2[/tex]
[tex](15in,18in)=>90in^2[/tex]
[tex](15in,30in)=>150in^2[/tex]
Step-by-step explanation:
Required
Match the expressions on the left with the right
(a) 21 in by 15 in
Calculate area
[tex]Area = 21in * 15in[/tex]
[tex]Area = 315in^2[/tex]
Multiply by [tex]1/3[/tex]
[tex]1-third = 315in^2 * \frac{1}{3}[/tex]
[tex]1-third = 105in^2[/tex]
Hence:
[tex](21in,15in)=>105in^2[/tex]
(b) 21 in by 30 in
Calculate area
[tex]Area = 21in * 30in[/tex]
[tex]Area = 630in^2[/tex]
Multiply by [tex]1/3[/tex]
[tex]1-third = 630in^2 * \frac{1}{3}[/tex]
[tex]1-third = 210in^2[/tex]
Hence:
[tex](21in,30in)=>210in^2[/tex]
(c) 15 in by 18 in
Calculate area
[tex]Area = 15in * 18in[/tex]
[tex]Area = 270in^2[/tex]
Multiply by [tex]1/3[/tex]
[tex]1-third = 270in^2 * \frac{1}{3}[/tex]
[tex]1-third = 90in^2[/tex]
Hence:
[tex](15in,18in)=>90in^2[/tex]
(d) 15 in by 30 in
Calculate area
[tex]Area = 15in * 30in[/tex]
[tex]Area = 450in^2[/tex]
Multiply by [tex]1/3[/tex]
[tex]1-third = 450in^2 * \frac{1}{3}[/tex]
[tex]1-third = 150in^2[/tex]
Hence:
[tex](15in,30in)=>150in^2[/tex]
Find the volume of a pyramid with a square base, where the side length of the base is 10.6\text{ in}10.6 in and the height of the pyramid is 12.3\text{ in}12.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
460.7
Step-by-step explanation:
Answer:
460.7
Step-by-step explanation:
it just 460.7
James think of a two digit number it is a cube number
Step-by-step explanation:
64 IS A TWO DIGIT NUMBER WHICH IS THE CUBE OF 4.
ALSO, 64 IS A EVEN NO. WHICH IS DIVISIBLE BY 2.
What is the current value for a future sum of money called?
A. Current value
B. Present value
C. Future value
Please help with this.
Answer:
A and C are the correct options.
5x−9≥11
Select one:
x≤−4
x≥4
x≤4
x≥−4
Answer:
[tex]x \geqslant 4[/tex]
Step-by-step explanation:
1) Add 9 to both sides.
[tex]5x \geqslant 11 + 9[/tex]
2) Simplify 11 + 9 to 20.
[tex]5x \geqslant 20[/tex]
3) Divide both sides by 5.
[tex]x \geqslant \frac{20}{5} [/tex]
4) Simplify 20/5 to 4.
[tex]x \geqslant 4[/tex]
Thus, the answer is Option B.
5x−9 ≥ 11
5x ≥ 11 + 9
5x ≥ 20
x ≥ 20/5
x ≥ 4
Done.
Need help asap!!!! By 1 pm
Answer: x4
Step-by-step explanation:
whats the sum of 1/6+1/3+1/6
Answer:
2/3
Step-by-step explanation:
2/6 is equal to 1/3 so I added both 1/6's together first and then added the resulting 1/3 with the other 1/3 and got 2/3
you could also convert the 1/3 to 2/6 and add all the sixths together to get 4/6 which is equal to 2/3
hope this helps chu<3
Answer:
4/6.
Step-by-step explanation:
1/6+1/6=2/6 1/3 converts into 2/6 so 2/6+2/6=4/6