Answer:
Step-by-step explanation:
The total number of ways to draw 3 students is 7*6*5 = 210
Order does not matter. There are 3 students that don't play soccer.
P(3 don't play soccer) = 3*2 * 1 / 210 = 1/35 = 0.02857
Translate into a variable expression. the quotient of 43 less than m and twice m
Answer:
(m - 43)/2m
Step-by-step explanation:
Find the constant C such that x ^ 3 - 3x + 5 <= C where x in[0,3] 18 23 14 17 21
Plug in maximum value of x (3) and see what you get. The maximum value of the expression when plugged in is C.
[tex]3^3-3\cdot3+5=C[/tex]
[tex]27-9+5=C\implies 23=C[/tex]
Now that means,
[tex]x^3-3x+5\leq 23[/tex] for any x in [tex][0,3][/tex]
Hope this helps :)
The perimeter of a rectangle is 332cm and the width is 76cm. Find the rectangle’s length
Things did not go quite as planned. You invested $21360, part of it in a stock that paid 12% annual interest. However, the rest of the money suffered a 5% loss. If the total annual income from both investments was $, how much was invested at each rate? How much money was invested at 12% annual interest?
Answer:
1992
Step-by-step explanation:
Let x be the amount invested at 12%.
Then the rest amount is (21360-x) dollars.
The 12% stock earning is 0.12x dollars.
The rest amount loss is 0.05*(21360-x) dollars.
Your equation is
interest - loss = total interest, or
0.12x - 0.05*(21360-x) = 1992 dollars.
Simplify and solve for x.
Order the numbers from least to greatest
Answer:
B
Step-by-step explanation:
It just is
X:3/2+1/2x=2x
I need to solve for x
Answer: x = 1
Step-by-step explanation:
Given
3/2 + (1/2)x = 2x
Multiply 2 on both sides to cancel out the denominator
2 · [3/2 + (1/2)x] = 2 · 2x
3 + x = 4x
Subtract x on both sides
3 + x - x = 4x - x
3 = 3x
Divide 3 on both sides
3 / 3 = 3x / 3
[tex]\boxed {x=1}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Help me please!!!٩(๑꒦ິȏ꒦ິ๑)۶
the 1st one
9514 1404 393
Explanation:
Add sin(θ)
cos(θ) = sin(θ)
Divide by cos(θ)
1 = sin(θ)/cos(θ) = tan(θ)
Square both sides
1 = tan²(θ)
Add 1
2 = tan²(θ) = sec²(θ)
Take the square root
√2 = sec(θ) . . . . for 0 < θ < π
_____
Additional comment
The equation cos(θ) -sin(θ) = 0 has two solutions: θ = π/4 and θ = 5π/4. For the first-quadrant solution, sec(θ) = √2. For the third-quadrant solution, sec(θ) = -√2.
Use the number to add the fraction: -5/8 + 3/4: *
Use the number ine to add the fraction
2
1
1
1
5
-
-
-
O
2
-9/10
-4/5
-1/8
1/8
2/5
1/2
7/10
Answer:
c
Step-by-step explanation:
thats the anser
What’s x = in this equation
Answer:
5m
Step-by-step explanation:
Applying Pythagoras theorem:
a² + b² = c² (where a is base length, b is the height and c is the hypotenuse of the right triangle)
3² + 4² = c²
c² = 9 + 16 = 25
c = x = [tex]\sqrt{25}[/tex] = 5
∴ x = 5m
How many different sets of answers are possible on a true-false test that has 11
questions?
how to complete this question?
Answer:
f(x) = [tex]-2^{x+1}-1[/tex]
Step-by-step explanation:
I. If you see (0, -3) point on the green line
II. Perform x = 0, if y = -3 means the statement is true
= [tex]-2^{0+1} - 1[/tex]
= [tex]-2^{1}[/tex] - 1
= -2 - 1
y = -3
Got more question or somethin to discuss? Leave comment below
the perimeter of a rectangular field is 342 yards. if the width of the field is 77 yards, what is its length
Anyone know the answer to this?
Quick response
Add -13 + 5. 8 -8 -18 18
Martina took a train to the bullfight. It traveled 544 km nonstop in 8.5 hours to get there. If the train moved at a steady speed, what was the rate of speed
Answer:
64 km per hour
Step-by-step explanation:
544/8.5=64
determine the area and perimeter
Answer:
Area is the total surface covered by the shape and perimeter is the total length of the shape.
X-18.6
_____=-0.326
15.3
Answer:
13.6122
Step-by-step explanation:
(x-18.6)/15.3=-0.326
x-18.6=-0.326*15.3
x-18.6=-4.9878
x=-4.9878+18.6
x=13.6122
If (x,-3) is a solution to the equation 4x = 5y - 1, what is the value of x?
9514 1404 393
Answer:
x = -4
Step-by-step explanation:
Put the given point in the equation and solve for x.
4x = 5(-3) -1
4x = -16 . . . . . . simplify
x = -4
a continuous random variable is uniformly distributed in the interval a<X<b the Lower quartile is 5 and upper quartile is 9 find
a. the values of a and b
b. p(6<X<7)
c. the cumulative distributive function
راز
(a) X has a probabiliity density of
[tex]f_X(x) = \begin{cases}\dfrac1{b-a}&\text{if }a<x<b\\0&\text{otherwise}\end{cases}[/tex]
If the lower quartile is 5 and the upper quartile is 9, then
[tex]\displaystyle \int_a^5 f_X(x)\,\mathrm dx = 0.25 \text{ and } \int_9^b f_X(x)\,\mathrm dx = 0.25[/tex]
Computing the integrals gives the following system of equations:
[tex]\displaystyle \int_a^5\frac{\mathrm dx}{b-a} = \frac{5-a}{b-a} = 0.25 \\\\ \int_9^b \frac{\mathrm dx}{b-a} = \frac{b-9}{b-a} = 0.25[/tex]
5 - a = 0.25 (b - a) ==> 0.75a + 0.25b = 5 ==> 3a + b = 20
b - 9 = 0.25 (b - a) ==> 0.25a + 0.75b = 9 ==> a + 3b = 36
Eliminate a :
(3a + b) - 3 (a + 3b) = 20 - 3×36
-8b = -88
==> b = 11 ==> a = 3
and so P(X = x) = 1/(11 - 3) = 1/8 for all 3 < x < 11.
(b)
[tex]\displaystyle P(6<X<7) = \int_6^7f_X(x)\,\mathrm dx = \int_6^7\frac{\mathrm dx}8 = \boxed{\frac18}[/tex]
(c) The distribution function is then
[tex]\displaystyle F_X(x) = \int_{-\infty}^x f_X(t)\,\mathrm dt = \begin{cases}0&\text{if }x\le3 \\ \dfrac x8 &\text{if }3<x<11 \\ 1&\text{if }x\ge11\end{cases}[/tex]
Adult tickets for a movie cost six dollars and children's tickets cost three dollars if two adults and three children go to the movies how much will they pay?
Write a numerical or algebraic expression for each verbal phrase
Santo chose c as the correct
John's bank account was overdrawn. The status of his account was -$133. He did not realize the problem and wrote another check for $55. The bank charged him a $22 fee for being overdrawn.
What was the new status of John's account at this point?
Answer:
210
Step-by-step explanation:-133-55-22=210
What is the volume of the right rectangular prism?
a) 21cm^3
b) 42cm^3
c) 120cm^3
d) 240cm^3
Answer:
c part is correct answer
Answer: D) 240 cm^3
Step-by-step explanation:
On edge
Which diagram shows an angle bisector
B
if it is not correct sory
Diagram B is a proper demonstration of an angle bisector.
Letter A is wrong because they are a set of intersecting ines.
Letter C is wrong because they are a set of parallel lines.
Letter D is wrong because they are also a set of perpendicular lines.
So, now, we know that Letter B is the correct answer. The reason for this is also because ∠ACD is bisected by line B.
I hope that this helped answer your question. Have a good day!
2/8 of a rope is 28 meters.What is the length of the rope?
let length be x
ATQ
[tex]\\ \sf\longmapsto \dfrac{2}{8}\times x=28[/tex]
[tex]\\ \sf\longmapsto \dfrac{2x}{8}=28[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{4}=28[/tex]
[tex]\\ \sf\longmapsto x=4(28)[/tex]
[tex]\\ \sf\longmapsto x=112[/tex]
6927÷19 plz help me
Cuál es el valor de la siguiente expresión?
(6 + 27) / (5 - 2)
Answer: 11
Step-by-step explanation:
6+27=33
33/3 = 11
need the answer as soon as possible
Answer:
soln
Step-by-step explanation:
=21÷x-2s
=21÷7-2×9
=3-18
=-15
2 Why does it make sense to add 8 + 2 to make a ten and make new problem, 10 + 4?
Step-by-step explanation:
Hahahaha this is math.lol
I want to know how to solve this.
Answer:
B
I just did it and got it right
You buy butter for $4 per pound You need 4oz of butter for your formula How much does the butter for 1 portion cost?