What is mL in LMN? Round only your final answer to the nearest degree.
Answer:
∠ L ≈ 52°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosL = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{LM}{LN}[/tex] = [tex]\frac{8}{13}[/tex] , then
∡ L = [tex]cos^{-1}[/tex] ([tex]\frac{8}{13}[/tex] ) ≈ 52° ( to the nearest degree )
A box contains a yellow ball, an orange ball, a green ball, and a blue ball. Billy randomly selects 4 balls from the box (with replacement). What is the expected value for the number of distinct colored balls Billy will select?
Answer:
[tex]Expected = 0.09375[/tex]
Step-by-step explanation:
Given
[tex]Balls = 4[/tex]
[tex]n = 4[/tex] --- selection
Required
The expected distinct colored balls
The probability of selecting one of the 4 balls is:
[tex]P = \frac{1}{4}[/tex]
The probability of selecting different balls in each selection is:
[tex]Pr = (\frac{1}{4})^n[/tex]
Substitute 4 for n
[tex]Pr = (\frac{1}{4})^4[/tex]
[tex]Pr = \frac{1}{256}[/tex]
The number of arrangement of the 4 balls is:
[tex]Arrangement = 4![/tex]
So, we have:
[tex]Arrangement = 4*3*2*1[/tex]
[tex]Arrangement = 24[/tex]
The expected number of distinct color is:
[tex]Expected = Arrangement * Pr[/tex]
[tex]Expected = 24 * \frac{1}{256}[/tex]
[tex]Expected = \frac{3}{32}[/tex]
[tex]Expected = 0.09375[/tex]
find the missing side of the triangle
Answer:
7 sqrt(2) = c
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
7^2 + 7^2 = x^2
49+49 = c^2
98 = c^2
Taking the square root of each side
sqrt(98) = sqrt(c^2)
sqrt(49*2) = c
7 sqrt(2) = c
Rationalise the denominator
Answer:
sqrt(3) /3
Step-by-step explanation:
1 / sqrt(3)
Multiply the top and bottom by sqrt(3)
1/ sqrt(3) * sqrt(3)/ sqrt(3)
sqrt(3) / sqrt(3)*sqrt(3)
sqrt(3) /3
Answer:
[tex] = { \sf{ \frac{1}{ \sqrt{3} } }} \\ \\ { \sf{ = \frac{1}{ \sqrt{3} } . \frac{ \sqrt{3} }{ \sqrt{3} } }} \\ \\ = { \sf{ \frac{ \sqrt{3} }{ {( \sqrt{3}) }^{2} } = \frac{ \sqrt{3} }{3} }} [/tex]
What is the length of the radius of a cylinder if the diagonal is 15 mm and the height is 12 mm?
Answer:
Step-by-step explanation:
Let d and r be the diameter and radius, respectively.
d² + 12² = 15²
d² = 15² - 12² = 81
d = √81 = 9
r = d÷2 = 4.5 mm
Suppose that d varies jointly with r and t, and d = 110 when r = 55 and t = 2. Find r when d = 40 and t = 3.
Answer:
r = 13.33
Step-by-step explanation:
d = k*r*t
Where,
k = constant of proportionality
d = 110 when r = 55 and t = 2
d = k*r*t
110 = k * 55 * 2
110 = 110k
k = 110/110
k = 1
Find r when d = 40 and t = 3
d = k*r*t
40 = 1 * r * 3
40 = 3r
r = 40/3
= 13.333333333333
Approximately,
r = 13.33
Solve for x 3x+3/x-4 = 3x+2/x+4
Answer:
here you go! with step by step so you can do it next time
Answer:
-7/8
Step-by-step explanation:
cross multiply first then expand the equations when you cross multiply it will be
(3x+3)(x+4)=(3x+2)(x-1)
3x(x+4)+3(x+4)=3x(x-1)+2(x-1)
3x²+12x+3x+12=3x²-3x+2x-2
3x²+15x+12=3x²-x-2
3x²-3x²+15x+x=-2-12
16x/16=-14/16
x=-14/16
simplified to
-7/8
I hope this helps
Choose the algebraic description that maps the image ΔABC onto ΔA′B′C′.
Question 2 options:
(x,y) → (x – 4,y)
(x,y) → (x,y + 4)
(x,y) → (x,y – 4)
(x,y) → (x + 4,y)
Answer:
(x,y+4)
Step-by-step explanation:
This shows a translation of 4 units up, so the y coordinate increases by 4. Please mark brainliest as I need 1 more to move up. It would be much appreciated.
Answer:B
Step-by-step explanation:
find the missing side of the triangle
Answer:
x = 40
Step-by-step explanation:
3-4-5 triangle scale factor by 10
Missing side is 4
4*10 = 40 | Multiply by 10 bc of scale factor
x = 40
WILL GIVE BRAINLIEST TO THE CORRECT ANSWER!!
Suppose you obtain a five-year lease for a Porsche and negotiate a selling price of $146,000. The annual interest rate is 8.4%, the residual value is $75,000, and you make a down payment of $3000. Find each of the following.
A.) The net capitalized cost.
B.) The money factor. (Rounded to four decimal places)
C.) The average monthly finance charge. (Rounded to the nearest cent).
D.) The average monthly depreciation. (Rounded to the nearest cent.)
E.) The monthly lease payment. (Rounded to the nearest cent.)
Answer:
Look down below
Step-by-step explanation:
A.)Net capitalized cost=146,000-3000= $143,000
Net capitalized cost = 143,000
B.)Money factor=8.4/100 over 24=0.084/24=0.0035
Money Factor= 0.0035
C.)Average monthly finance charge= (143,000+75,000)x 0.0035= 218,000 x 0.0035=$763
Average Monthly Finance Charge= $763
D.)Average monthly depreciation= 143,000-75000/5 x 12=68000/60=$1133.33
Average monthly deprecation= $1133.33
E.)monthly lease payment=1133.33/5= $226.66
Monthly lease payment= $226.66
Antonia and Aleena both bought a book that cost £3.50 each. How much change did they get from £10.00?
£6.50
£2.00
£3.00
Answer:
They got 3.00 back
Step-by-step explanation:
Since they both bought a book it means you have to double the price of one book.
3.50+3.50=7.00
Then since you are looking for the difference of 10.00 you would subtract it.
10.00-7.00=3.00
Solve for 2. Round to the nearest tenth, if necessary.
51
66
H
Answer: 2
Submit Answer
attempt 1 out of 2
PLS HELP
Answer:
x = 53.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 51 = 66/x
x tan 51 = 66
x = 66/ tan 51
x=53.44574
Rounding to the nearest tenth
x = 53.4
show that's ABE = EBC
Answer:
abe = ebc
Step-by-step explanation:
bcos both the seperate angels have the same degree
answer please it's urgent
Answer:
HOPE IT HELP YOU . Plz tell me if it is write or wrong .
Find the range of the function f(x)=-4x-8 for the domain {0,1,2}
Answer:
Since this function is definable for all real values of x,
Domain(f(x)) = R = (-∞,∞)
Step-by-step explanation:
Now,
Let 4x-8=y
4x = y+8
x = (y+8)/4
Since x is definable for all real values of y,
Range(f(x)) = R = (-∞,∞)
Find the measure of the indicated angle to the nearest degree
We know
[tex]\boxed{\sf cos\theta=\dfrac{B}{H}}[/tex]
[tex]\\ \sf\longmapsto cos\theta=\dfrac{8}{16}[/tex]
[tex]\\ \sf\longmapsto cos\theta=\dfrac{1}{2}[/tex]
[tex]\\ \sf\longmapsto cos\theta=cos60[/tex]
[tex]\\ \sf\longmapsto \theta=60[/tex]
hlp mehhhhhhhhh plsssssssss
Answer:
graph - A
Step-by-step explanation:
The ratio of the corresponding dimensions of two similar parallelograms is 3.1. The
ratio of the base to height for each parallelogram is 5:4. If the height of the smaller
parallelogram is 100, what is the base of the larger parallelogram?
A А
125
В.
240
C.
300
D.
375
The water level of a river is 170feet. The river recedes 4 feet each year. Ingrid claims that the equation that represents this scenario is y=170x-4. Is her equation correct?
Answer:
Step-by-step explanation:
In the equation y = mx + b, which is the form Ingrid's equation is in, the m stands for the rate of change. If the water level is decreasing, the rate at which it is decreasing is what goes in for m. The "b" of that equation indicates the starting height of the water, which is 170. The equation should be:
y = -4x + 170, negative because the water is decreasing.
A trucking company determined that the distance traveled per truck per year is normally distributed, with a mean of thousand miles and a standard deviation of thousand miles. Complete parts (a) through (d) below.
Complete question is;
A trucking company determined that the distance traveled per truck per year in its entire fleet was normally distributed with a mean of 55 thousand miles and a standard deviation of 11 thousand miles.
a)A truck in the fleet traveled 42 thousand miles in the last vear. Calculate the z-score for this truck.
b) Interpret the z-score
c) The trucking company has a policy that any truck with mileage more than 2.5 standard deviations above the mean should be removed from the road and inspected. What is the probability that a randomly selected truck from the fleet will have to be inspected?
d) A randomly selected truck in the fleet traveled 85 thousand miles in the last year. Should this truck be removed from the road and inspected? Explain why or why not.
Answer:
A) z = - 1.18
B) Interpretation of the z-score in A above shows that the distance traveled per truck per year in its entire fleet is 1.18 standard deviations lesser than the distance traveled per truck on average
C) P(z > 2.5) = 0.0062
D) it's value of z is greater than 2.5 minimum and so the truck will be removed from the road and inspected
Step-by-step explanation:
A) We are given;
Population mean; μ = 55000
Sample mean; x¯ = 42000
Standard deviation; σ = 11000
Z-score formula is;
z = (x¯ - μ)/σ
z = (42000 - 55000)/11000
z = - 1.18
B) Interpretation of the z-score in A above shows that the distance traveled per truck per year in its entire fleet is 1.18 standard deviations lesser than the distance traveled per truck on average.
C) since it has a policy that any truck with mileage more than 2.5 standard deviations above the mean should be removed from the road and inspected, then it means that probability that it will be inspected is;
P(z > 2.5) = 1 - P(z < 2.5)
From p-values from z-score table, we have;
P(z > 2.5) = 1 - 0.9938
P(z > 2.5) = 0.0062
D) A randomly selected truck in the fleet traveled 85 thousand miles in the last year. Thus; x¯ = 85000.
Thus;
z = (85000 - 55000)/11000
z = 2.73
This value of z is greater than 2.5 minimum and so the truck will be removed from the road and inspected
URGENT PLS HELP . pls put explanation as well. thank you:)
Answer:
The promoters profit would be $46,350 if they sell 850 tickets
Step-by-step explanation:
The value 61 is likely the cost of each ticket, and the value 5,500 is likely the amount the promoter spent in order to promote at the concert since it was being subtracted from his profits
Hope this helps :)
find the measure of the indicated angle to the nearest degree
Answer:
? ≈ 28°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{19}{41}[/tex] , then
? = [tex]sin^{-1}[/tex] ([tex]\frac{19}{41}[/tex] ) ≈ 28° ( to the nearest degree )
Jim removed 27 gallons of water from a rainwater storage tank. There are 59 gallons left in the tank. What equation can Jim use to find how much water was in the tank earlier? Use x to represent the amount of water originally in the tank.
Answer: X = 86 gallons
Step-by-step explanation:
X-27=59
X=59+27
Please hurry I will mark you brainliest
What is the slope of the line with an x-intercept of 4 and a y-intercept of -3?
the answer to this question is the slope is 43
Answer:
Therefore, the slope is 3/4
Step-by-step explanation:
An x -intercept is the value of x when y=0 , so an x-intercept of 4 can be written as a coordinate on the graph as (4,0)
Likewise, an
y -intercept is the value of y when x=0 , so an y -intercept of −3can be written as a coordinate on the graph as (0,-3)
Now we have two points(4,0) (0,-3)
To find the slope given two points, we use the formula
rise÷run , or y2−y1÷x2−x1 .
Plug in the given points into the formula
-3-0/0-4
-3/-4
3/4
Therefore, the slope is 3/4
Hope this helps!
On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below. x 0 1 2 3 4 5 Total P(x) .07 .36 .27 .17 .10 .03 1.00
Answer:
1.96 ;
1.216
Step-by-step explanation:
Given the data :
x : __0 _ 1 _ 2 _ 3 _4 _5 Total
P(x) .07 .36 .27 .17 .10 .03 1.00
. The mean, also called the expected value is defined as ;
E(X) = Σx*p(x)
E(X) = (0*0.07) + (1*0.36) + (2*0.27) + (3*0.17) + (4*0.10) + (5*0.03) = 1.96
The standard deviation, ; √var(x)
Var(X) = Σx²*p(x) - E(X)²
Var(X) = [(0² * 0.07) + (1² * 0.36) + (2² * 0.27) + (3² * 0.17) + (4² * 0.10) + (5² * 0.03)] - 1.96²
Var(X) = 5.32 - 3.8416
Var(X) =14784
SD(X) = √1. 4784 = 1.216
what is 5cd when c = 3 and d = 4
[tex] \sf \: c = 3 \\ \sf \: d = 4 \\ \\ \sf \: 5cd \: = \: ?\\ \\ \sf \:5 cd \hookrightarrow \\ \sf = 5 \times (3) \times (4) \\ \sf = 5 \times 12 \\ = \underline{ \bf \: 60}[/tex]
-> Just substitute the values given for variables c & d in the equation 5cd & you'll get the answer.
Please do this ASAP, it’s due in 30 minutes!
Thank you!
No links<3
Answer:
I think it is -24t+20 if you want to simplify
Step-by-step explanation:
Answer:
-24t + 20
Step-by-step explanation:
First, remove the parentheses
Then, multiply 6 by 5
Then expand 3(2t+4) - 30t + 8
Finally simplify 6t + 12 - 30t + 8
-24t + 20
Hope this helps!
help please help......
Answer:
[tex]{ \sf{( \sec \theta - \csc \theta)(1 + \tan \theta + \cot \theta) }} \\ = { \sf{( \sec \theta + \tan \theta \sec \theta + \cot \theta \sec \theta) - ( \csc \theta - \csc \theta \tan \theta - \csc \theta \cot \theta)}} \\ = { \sf{( \sec \theta + \sec \theta \tan \theta + \csc \theta) - ( \csc \theta - \sec \theta - \csc \theta \cot \theta)}} \\ = { \sf{ \sec \theta \tan \theta + \csc \theta \cot \theta }} \\ { \bf{hence \: proved}}[/tex]
Find the value of k for which the following system of equations has infinite solution. 5x +2y=k,10x +4y=3
Answer:
k=3/2 or 1 1/2
Step-by-step explanation:
Answer 3/2
Step-by-step explanation:
Can someone help me with this please
Answer:
B
Step-by-step explanation:
You need a number that when multiplied by itself 3 times gives you 512. So the length and width of the bottom layer must be 8 by 8 which is 64.
The layers are 8 cm high, so that's the third number you multiply together.
Volume = 8*8*8 = 64
But the answer you want is 8*8 which is 64