Answer:
0.50 :)
Step-by-step explanation:
The probability of the union of being either a freshman or junior is 0.50
What is probability?"Probability is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes,
n(S) is the total number of events in the sample space.
For given example,
Students have equal probabilities of being freshmen, sophomores, juniors, or seniors.
⇒ P(freshman) = 0.25
⇒ P(sophomores) = 0.25
⇒ P(juniors) = 0.25
⇒ P(seniors) = 0.25
We know for event A and B,
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Assuming event A : student is a freshman
event B : student is junior
P(A) = 0.25
P(B) = 0.25
The number of students who are freshman as well as junior = 0
⇒ n(A ∩ B) = 0
⇒ P(A ∩ B) = 0
Now, the probability of the union of being either a freshman or junior would be,
⇒ P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
⇒ P(A ∪ B) = 0.25 + 0.25 - 0
⇒ P(A ∪ B) = 0.50
Therefore, the probability of the union of being either a freshman or junior is 0.50
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For a school fundraiser, Mai will make school spirit bracelets. She will order bead wiring and alphabet beads to create the bracelets. Mai must spend $250 on wire and $5.30 per bracelet for beads. Write an expression for this situation.
[tex] \sqrt{3x + 4} - \sqrt{x + 5} = 1[/tex]
Answer:
x=4
Step-by-step explanation:
See some of the steps below:) you can use the app photo math. you just take a picture of the problem and it gives you the answer and explains the steps:)
Determine which sides/angles need to be congruent in order to prove the triangles are congruent by the desired theorem
PLEASE GIVE THE ANSWER
‼️‼️‼️Answer pls‼️‼️‼️
Answer:
C) 20 sq. ft.
Step-by-step explanation:
Using the formula given, we can find the answer. Substitute the diagonals given, 8 and 5, into the formula.
We then get 1/2*8*5 which equals 20 sq. ft.
Answer:
20 sq. ft.
Step-by-step explanation:
Help me with this one. I’m stuck with it since an hour and a bit more.
Answer:
1) 5 : 7 : 8.75
2) Happy = 168 . Juma = 210
3) Rima = 17800 . Happy = 24920 . Juma = 31150
Step-by-step explanation:
1) 5 : 7 : 8.75
Ratio Rima to Happy = 5:7
Ratio Happy to Juma = 4:5
7/4 = 1.75
1.75 x 5 = 8.75
Ratio = 5 : 7 : 8.75
2) Happy = 168 . Juma = 210
Ratio = 5 : 7 : 8.5
120 / 5 = 24
Happy = 24 x 7 = 168
Juma = 24 x 8.75 = 210
3)17800 : 24920 : 31150
5 + 7 + 8.75 = 20.75
73870 / 20.75 = 3560
3560 * 5 = 17800 = Rima
3560 * 7 = 24920 = Happy
3560 * 8.75 = 31150 = Juma
If my answer is incorrect, pls correct me!
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The probability distribution for a random variable x is given in the table. -5 -3 -2 0 2 3 Probability .17 .13 33 16 11 10 Find the probability that x < 0
Answer:
0.79
Step-by-step explanation:
add up the probability that is less than or equal to 0, which is 0.17+0.13+0.33+0.16 = 0.79
The probability [tex]$x \leq0$[/tex]. is 0.79.
What is probability distribution?
A probability distribution exists a statistical function that defines all the possible values and likelihoods that a random variable can consider within a provided range.
The probability distribution is given in the table.
Probability that [tex]$x \leq0[/tex]
The values that are 0 or lower are -3, -2 and -5. So
[tex]$P(X \leq0)=P(X=-3)+P(X=-2)$$[/tex]
From the table:
[tex]$&P(X=-3)=0.13, P(X=-5)=0.17, P(X=-2)=0.33[/tex] and [tex]P(X=0)=0.16[/tex]
So, [tex]$&P(X \leq-3)=P(X=0)+ P(X=-3)+P(X=-5)+P(X=-2)[/tex]
= 0.16 + 0.13 + 0.17 + 0.33
= 0.79
0.79 probability that [tex]$x \leq0$[/tex].
To learn more about probability distribution
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Triangle DEF has coordinates D(3, 4), E(4, 1), and F(1, -2). If the triangle is
dilated by a scale factor of 4, what are the coordinates of E?
Answer:
Hello! answer: coordinates of E' are (16, 4)
Step-by-step explanation:
4 × 4 = 16 4 × 1 = 4 therefore the new coordinates are (16, 4)
The coordinate of E after dilation is (16, 4).
What is a triangle?It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Triangle DEF has coordinates:
D = (3, 4)
E (4, 1)
F = (1, -2)
The coordinates are dilated with a scale factor of 4.
This means,
Multiply all the coordinates by 4.
Now,
D = (3 x 4, 4 x 4) = (12, 16)
E (4 x 4, 1 x 4) = (16, 4)
F = (1 x 4, -2 x 4) = (4 , -8)
Thus,
The coordinate of E is (16, 4).
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what is the total amount of time spent reading?
Answer:
Americans average 16.5 minutes a day.
Step-by-step explanation:
American women spend just 19.8 minutes a day reading for pleasure, according to the 2018 American Time Use study by the U.S. Bureau of Labor Statistics. American men spend even less: an average of 13.2 minutes a day.
Which of these symbols stands for less than or equal to?
Answer:
the far left one
Step-by-step explanation:
Solve In(5x + 3) = 2.5
Answer:
[tex]x=\frac{e^{2.5}-3}{5}[/tex]
Step-by-step explanation:
Let y = 5x + 3
Then we get
㏑(y) = 2.5
Using exponentiation,
[tex]e^{lny} = e^{2.5}\\\textrm{But }e^{lny} \textrm{ is simply y (log rule)}\\\textrm{So we get}\\y = e^{2.5}\\\\\\\textrm{Substituting for y we get}\\\\5x + 3 = e^{2.5}\\x = (e^{2.5} - 3)/5\\[/tex]
This works out to x = 1.83649879
1/2(12x42)-(5x19)
Pls help me
Answer:
157
Step-by-step explanation:
How can you tell if these are greatest common factor or difference of squares questions?
Answer:
When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).
So far this season, Kristen scored 6 goals and missed on her 33 other shots on goal. What is the experimental probability that Kristen will score a goal on her next shot? Write your answer as a fraction or whole number.
Answer:
2/13
Step-by-step explanation:
Answer:
2/13
Step-by-step explanation:
how many solutions to
3x^2 -5x+20=0
equation
I JUST NEED HELP PLEASE!! AHH!!~∆~
Give the value of the six trigonometric ratios in the figure.
Answer:
Step-by-step explanation:
take theta as reference angle
using sin rule
sin theta=opposite/hypotenuse
sin theta=5/13
sin theta=0.38
theta=sin 23
therefore the value of theta is 23 degree
help:
Find LaTeX: (f-g)(x)(f−g)(x) if LaTeX: f(x) = \sqrt{4x}f(x)=4x and LaTeX: g(x) = \sqrt{16x}g(x)=16x.
Step-by-step explanation:
Simplify the matrix.
f
2
x
2
−
2
f
g
x
2
+
g
2
x
2
,
f
(
x
)
=
2
√
x
f
x
=
4
x
,
g
x
=
4
√
x
g
x
=
16
x
Please help me I’m stuck
Answer:
x = 3.2
Step-by-step explanation:
Apply pythagorean theorem, c² = a² + b²
Where,
c is the hypotenuse/longest side = √(10² - 9²) ≈ 4.4
a = x
b = 3
Substitute
4.4² = x² + 3²
19.36 = x² + 9
x² = 19.36 - 9
x² = 10.36
x = √10.36
x = 3.2 (nearest tenth)
Can someone help me my grade are bad
Answer:
8.31
Step-by-step explanation:
Using the Pythagorean Theorem:
[tex]a^2+b^2=c^2[/tex]
[tex]10^2+b^2=13^2[/tex]
[tex]100+b^2=169[/tex]
[tex]b^2=69[/tex]
[tex]b = \sqrt{69}[/tex]
[tex]b = 8.306623863[/tex]
The side length for [tex]x[/tex], rounded to the nearest hundredths, would be 8.31.
Fred paints houses. He was paid 475 dollars for a job that took 19 hours. His second job took 26 hours and he was paid 720. He was paid 1180 for his 3rd job. How long did this job take?
Answer:
Total time taken to complete the job is 26 hours
Step-by-step explanation:
Fred's First Job
Total amount paid = 475 dollar
Total hours of work = 19 hours
Charge per hour = 475/19 = 25 dollars per hour
Fred's second job
Total amount paid = 720 dollar
Total hours of work = 26 hours
Charge per hour = 720/26 = 27.69 dollars per hour
Fred's third job
Amount paid = 1180
When amount paid was 720, charge per hour was 27.69
When amount paid is 1180, charge per hour is (27.69/720) * 1180 = 45.38
Total time taken to complete the job = 1180/45.38 = 26 hours
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The temperature in Marshfield at 6:00 p.m. was 5 degrees Fahrenheit. By 11:00 p.m., the temperature had dropped
9 degrees.
Enter the temperature, in degrees Fahrenheit, at 11:00 p.m.
-4 degrees fahrenheit
I NEED HELP WITH THIS PLEASE AND PLEASE DONT SEND LINKS
Answer:
The coins probability is 1/2 while the dice probability is 1/6
Step-by-step explanation:
The coin only has 2 sides so you split it into halves
The dice has 6 sides so you split it into sixths
Jared places five cards that are labeled 1 to 5 face down on the table and mixes them up.
What is the likelihood that his friend Logan will draw an even-numbered card?
Answer: 2/5
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:{1,2,3,4,5}
even numbers among these numbers are {2,4}
likelihood of even numbers =number of even numbers/all numbers
2/5
Work out the area of the parallelogram.
Not drawn
accurately
13 cm
79°
21 cm
what's the answer ?
[tex] \sqrt{25 \times 9} [/tex]
Answer:
[tex] \sqrt{25 \times 9} [/tex]
[tex] \sqrt{5² \times 3²} [/tex]
±(5*3)
±15 is a required answer.
17, 24, 31, 38, ... common diffrence Arithmetic Sequences
Ans: 10+7n
Step-by-step explanation: there you go
Answer:
d=7; equation=17+(n-1)7
Step-by-step explanation:
I dont know what your question is but it goes up by 7
What is 65% out of 45?
Answer:
29.25 is ur answer
Step-by-step explanation:
3z^2+10z-25=0
solve the equation for all real solutions.
Answer:
okay well 5/3 would be your anwser ig
Step-by-step explanation:
If you place a 26-foot ladder against the top of a building and the bottom of the ladder is 20 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot
Answer:
16.6
Step-by-step explanation:
somtimes you gotta pay attention to you're math teacher
solve for x:
1) 1/2x+16=28
2) 2/3x-14=6
Answer:
The answers are
1) x=24
2) x=30
I don't understand this problem
Answer:
45%
Step-by-step explanation:
Step-by-step explanation:
It's asking you what the probablitiy of a red car is.
Since this looks like a test/homework, I'll give some hints.
Let's say that SUV's and car's are x.
Out of x, 60 percent is cars.
Let's call the amount of cars we have y.
Out of y amount car's, 15 percent is red.
It's asking that if you randomely chose a car, what the probability would be if you got a non-red car.
Of course, this problem only needs one variable, but for the sake of simplicity, I added 2.
Hope this helps!