A high school has 35 students who play only stringed instruments,
10 students who play only brass instruments, 5 students who play
both, and 5 students who don't play either. What is the probability
that a randomly selected student at this high school plays a stringed
instrument or a brass instrument?
Answers
Answer:
[tex]\frac{10}{11}[/tex]
Step-by-step explanation:
Note : the total number of students is 55
___________________________
[tex]p\left( A\cup B\right) =p\left( A\right) +p\left( B\right) -p\left( A\cap B\right)[/tex]
p(A) = 40/55
p(B) = 15/55
[tex]p\left( A\cap B\right) =\frac{5}{55}[/tex]
Therefore,
[tex]p\left( A\cup B\right) =p\left( A\right) +p\left( B\right) -p\left( A\cap B\right)[/tex]
[tex]=\frac{40}{55} +\frac{15}{55} -\frac{5}{55}[/tex]
[tex]=\frac{50}{55}[/tex]
[tex]=\frac{10}{11}[/tex]
Related Questions
Question 2 of 25
What value of cmakes the polynomial below a perfect square?
x + 10x+ c
CE
O A. 100
O B. 20
O C. 5
O D. 25
Answers
Answer:
25
Step-by-step explanation:
x^2 + 10x + 25 = (x+5)^2
The ratio of men to women working for a company is 5 to 4. If there are 234 employees total, how many women work for the company?
Answers
Answer:
104
Step-by-step explanation:
5 to 4 equals 9
divide 234 by 9 and you get 26
26 times 5 is 130
and 26 times 4 is 104
so 130 to 104 adding up gives you 234
and the number of women employees would be 104
I need help with math please!!!!
77-99+33 divided by 6
Answers
Answer:
try with
[tex]77 - 99 + 33 \div 6[/tex]
to calculate so you can find the answer thanks me later
Step-by-step explanation:
carry on learning(x-4)(x+3)(x-5)
I am confused
Answers
ANSWER:
x³ - 6x² -7x + 60
________________________
#HopeItsHelp
Roots
x = -3
x = 4
x = 5
The graph
Carl is having a party.
Each cake serves 4 people.
Does this situation represent a proportional relationship?
Answers
Answer:
Yes
Step-by-step explanation:
Solve for x.
x=
x+19 7x+9
Answers
Hey there!
x + 19 + 7x + 9 = 180°
1x + 19 + 7x + 9 = 180°
8x + 28 = 180°
SUBTRACT 28 to BOTH SIDES
8x + 28 - 28 = 180° - 28
SIMPLIFY IT!
8x = 180 - 28
8x = 152
DIVIDE 8 to BOTH SIDES
8x/8 = 152/8
SIMPLIFY IT!
x = 152/8
x = 19
Therefore, your answer should be:
x = 19
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What is the value of K?
Answers
Let's look into the solution step by step.
Explanation:
Given: A quadratic equation, kx2 - 14x + 8 = 0
Let the two zeros of the equation be α and β.
According to the given question, if one of the roots is α the other root will be 6α.
Thus, β = 6α
Hence, the two zeros are α and 6α.
We know that for a given quadratic equation ax2 + bx + c = 0
The sum of the zeros is expressed as,
α + β = - b / a
The product of the zeros is expressed as,
αβ = c / a
For the given quadratic equation kx2 - 14x + 8 = 0,
a = k, b = -14, c = 8
The sum of the zeros is:
α + 6α = 14 / k [Since the two zeros are α and 6α]
⇒ 7α = 14 / k
⇒ α = 2 / k --------------- (1)
The product of the zeros is:
⇒ α × 6α = 8 / k [Since the two zeros are α and 6α]
⇒ 6α 2 = 8 / k
⇒ 6 (2 / k)2 = 8 / k [From (1)]
⇒ 6 × (4 / k) = 8
⇒ k = 24 / 8
⇒ k = 3
PLS answer and explain
Write the expression for the cubic function
Answers
Answer:
F(x) = ax3 + bx2 + cx1 + d.
Step-by-step explanation:
A, b, and c are the coefficients and d is the constant.
HELP ME WITH THESE TWO QUESTIONS PLEASE.
Answers
Answer:
the answer for the first one is 141
and the answer for the second is 48
Answer:
First: -1628
Second: -16
Step-by-step explanation:
For the first problem, start by rewriting the equation by plugging in h and g as (4n-3)(-4n-4)
By FOILing this, you’ll end up with -16n^2-16n+12n+12
-16n^2-4n+12
Now you can plug in n, which is -10:
-16(10)^2-4(10)+12
-1600-40+12
-1628
For the second question, you’ll be plugging f(-2) into g, but I’ll leave -2 as n for simplicity until the end
g(n)=n^2+2n
f(n)=2n-4
g(n)=(f(n))^2+2(f(n))
(2n-4)^2+2(2n-4)
(4n^2-16n+16) + (4n-8)
4(-2)^2-16(-2)+16+4(-2)-8
16-32+16-8-8
-16
10. Find the surface area of the figure to the left.
13 m
9 m
Answers
Answer:
soz i need points n
Step-by-step explanation:
cuz
Which formula below is used to find the volume of a shape?
A. length ÷ width ÷ height
B. length − width − height
C. length + width + height
D. length × width × height
Answers
Answer:
D. length × width × height
Step-by-step explanation:
That is how you calculate the volume of a shape.
Please Help !! What is the volume of a cylinder with base radius 2 and height 9?
Answers
Answer:
The cylinders volume is 113.04 cubic inches
Step-by-step explanation:
The volume of a cylinder can be represented by the formula : V = π*r^2*h
So, now that we have the formula, we can simply plug in the values, and we have the volume of the cylinder.
V = π * 2^2 * 9
V = π * 4 * 9
It says to use 3.14 as π.
V = 3.14 * 4 * 9
V = 113.04
The cylinders volume is 113.04 cubic inches
868×10^5 this is acly 08
Answers
Answer:
this is easy the answer is 10 power of 5
Step-by-step explanation:
Answer:
86,800,000
________________________________________________________
SolveRemember the order of operations,
parenthesesexponentsmultiplicationdivisionadditionsubtractionGo from top to bottom as most to least important. Start with exponents, the tiny floating numbers. 10 to the power of 5 is the same as 10 times itself 5 times, or increasing the zeros 5 times.
[tex]10^5 = 100,000[/tex]
Next, multiply by 868.
[tex]100,000 * 868 = 86,800,000[/tex]
________________________________________________________
QuestionsAsk in comments.
Find the equation of the line that goes through the points (0, 6) and (12, 2).
y = 12x + 2
y = -1/3 x + 2
y = -1/3 x + 6
y = -3x + 6
Answers
Answer:
B.
Step-by-step explanation:
rewrite the equation in standard form
Y= -3/4x + 7
rewrite the equation in slope intercept form
X+2y=-3
Answers
Answer:
Y= -3/4x + 7 in standard form is 3x + 4y = 28
x + 2y =-3 in slope intercept form is y= 1/2x - 3/2
Step-by-step explanation:
Hope this helps!!
Answer:
please see photo above for detailed analysis.
10. Enter the value of p so that the expression 8(n + 2) is equivalent to (n + p)8
Answers
Answer:
p=2
Step-by-step explanation:
8n + 16 = 8n + 8p
subtract 8n
16=8p
divide both sides by 8
p = 2
To find the value of p that sets the expression equal to each other:
⇒ must set both equations equal to each other, like such:
[tex]8(n+2)=(n+p)8\\8n+16=8n+8p\\8n+16-8n=8p\\16=8p\\8p=16\\p=2[/tex]
Thus the value of p so that the expression 8(n + 2) is equivalent to (n + p)8 is 2
Answer: 2
Hope that helps!
determine the quadtratic that has the following square root (5/3, 7/3)
Answers
Answer:
9x^2 - 36x + 35.
Step-by-step explanation:
One would be (x - 5/3)(x - 7/3) <------ in factor form.
Getting rid of the fractions by multiplying each term by 3:
= (3x - 5)(3x - 7)
Converting to standard form
= 3x*3x -7*3x - 5*3x + 35
= 9x^2 - 36x + 35.
How can 5/16be written as a decimal
Answers
Answer:
The answer is 0.3125.
Step-by-step explanation:
Step 1. Do 5/16
Step 2. Get an answer of 0.3125
I hope that this helps! :)
jayce runs 2 1/2 miles on monday. Each day after that, he runs the same 1 1/3 mile route every morning. His goal is to run at least 6 miles by the end of the week. Which inequality represents the least number of days after monday that jayce needs to run to reach his goal?
Answers
Answer:
Step-by-step explanation:
6 < 2 1/2 + 1 1/3R
25 points!
7 and 8 Find the measurement of the missing interior angle
Answers
Answer:
7. x = 88
8. x = 59
Step-by-step explanation:
You're probably trying to equal 180° because that's what the triangle should equal so
7. 48° + (88° - 44°) + 88° = 180°
8. 73° + (59° - 11°) + 59° = 180°
I hope this is right :,)
X=8
For #8:
X=59
If a canoe travels 6 miles per hour downstream, and 2 miles per hour p stream, how many miles per hour will it go in still water?
Answers
Answer:
4 miles per hour
Step-by-step explanation:
The given relations allow us to write two equations.
__
The downstream speed is the sum of the canoe speed and the stream speed:
6 = c + s
The upstream speed is the difference of the canoe speed and the stream speed:
2 = c - s
Adding these two equations, we get ...
8 = 2c
4 = c . . . . . divide by 2
The canoe speed in still water is 4 miles per hour.
Answer:
4 Miles an hour
Step-by-step explanation:
70 points!!
A. Transform F using the rule (x, y) → (-x, y) (1 pt.)
B. Describe the transformation precisely.
C. Does the transformation result in a a congruent figure?
Answers
Answer:
C
C'
1
1. see attached
2. the figure is reflected in the y-axis
Step-by-step explanation:
1.
The given transformation moves each point horizontally to the same
distance on the other side of the y-axis. This is shown in the attachment.
2.
The given rule ...
(x, y) → (-x, y)
is the most precise description of the transformation. In English, it can be
described as a reflection in the y-axis
Step-by-step explanation:
Correct me if I'm wrong
Help please i need help please
Answers
Answer:
Acute
Step-by-step explanation:
The angle is 5 degrees.
Acute angles are angles between 0-90
Right angles are angles measuring 90 degrees
Obtuse angles are angles between 90-180
Therefore this angle is Acute
Vhich statements are true about the graph of the function f(x) = x7
- 8x + 5? Select three options.
J The function in vertex form is F(x) = (x - 4)2 - 11
- 11
The vertex of the function is (-8, 5).
O The axis of symmetry is X = 5.
O The y-intercept of the function is (0, 5).
O The function crosses the x-axis twice.
Answers
Answer:
A D E
Step-by-step explanation:
https://brainly.com/question/18143812
Find the distance between the two points. |(1,4) ✓ [?] (-2,-3) Enter the number that goes beneath the radical symbol.
Answers
Answer: √58
Step-by-step explanation:
[tex]\begin{aligned}&\left(x_{1}, y_{1}\right)=(-2,-3) \\&\left(x_{2}, y_{2}\right)=(1,4) \\&\text {The distance between two points is given by,} \\&d=\sqrt{\left(x_{2}-x_{1}\right)^{2}+\left(y_{2}-y_{1}\right)^{2}} \\&d=\sqrt{(4+3)^{2}+(1+2)^{2}} \\&d=\sqrt{7^{2}+3^{2}} \\&d=\sqrt{49+9} \\&\bold{d=\sqrt{58}}\end{aligned}[/tex]
Therefore, distance between the two points is √58 and the number that goes under the radical symbol is 58
Which statement best describe the product of 4/5x10
Answers
Answer:
4/5x10=8
Step-by-step explanation:
Not sure what the statements the question describes are since you didn't put them but the product is 8.
if the compound ratio of 5:8 and 3:7 is 45:x. find x
Answers
Given:
5:8 and 3:7 = 45:X
Explanation:
15:56 = 45:x
15x. = 2520
X=2520/15
x= 168
Conclusion:
Thus the value of x is found to be 168.
5:8 and 3:7=45:x
15:56 = 45:x
Product of means. = product of extremes
15x. = 2520
X=2520/15
x= 168
The measure of anglerst can be represented by the expression (6x 12)°. three lines extend from point s. the space between lines s r and s u is 78 degrees. the space between lines s u and s t is 3 x minus 12. what is manglerst in degrees? 78° 84° 120° 156°
Answers
Answer:
∠RST = 120°
Step-by-step explanation:
We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.
∠RSU +∠UST = ∠RST
__
78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above
54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12
108 = 6x . . . . . . . . . . . multiply by 2
120° = (6x +12)° = ∠RST . . . . add 12, show units
The measure of angle RST is 120 degrees.
_____
Additional comment
Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.
calculate the arc length. please help!
Answers
Answer:
L= 12.28cm
Step-by-step explanation:
L= 1/4 (2πr)
L= 90/360 * 2πr
L= 90/360 * 6.14* 8cm
L= 12.28cm
Hope it helps
This week, Hadiza read 15 pages each day from Monday through
Friday, and she read a total of 58 pages over the weekend. Complete
the equation to find how many pages Hadiza read this week.
Show your work below.
Answers
Answer: n= 15+58 = 73
Step-by-step explanation: Add pages for the week and weekend
Answer:
Step-by-step explanation:
HadizaReadingWeekly= 15 * Weekdays + 58 for Weekend
HRW=15*WD + 58
H =15*D +58
where H = HadizaReadingWeekly
D = days of the week (5)
then
H = 15*5 +58
H = 75 + 58
H = 133
Hadiza read 133 pages this week