Answer:
18 inches.
Step-by-step explanation:
Let x inches be the altitude of the triangle.
By Pythagoras Theorem,
[6sqrt(3)]^2 + x^2 = [12sqrt(3)]^2
108 + x^2 = 432
x^2 = 324
x = 18
So the altitude of the triangle is 18 inches.
Ten little monkeys were jumping on a bed. There is a 35% chance that one will fall off and bump his head. In the bedroom next door, five kangaroos were jumping on a bed. Being more adept at jumping, there is only a 20% that a kangaroo will fall off the bed.
1. What are the chances that a monkey and a kangaroo will fall off the bed?
2. What are the chances that a monkey will not fall off the bed?
3. If the monkeys enjoy this activity every night for an entire week, what are the chances that a monkey falls off the bed every one of the seven nights?
4. What are the chances that if the monkeys jump every day for a week that at least one will fall off of the bed?
5. What are the chances that the kangaroos can get away with jumping on the bed for 4 straight nights until they finally have someone fall off the bed on the night?
6. What are the chances that the kangaroos can jump two nights in a row with no one falling off the bed?
7. The monkeys manage to go a whole week without someone bumping their head. One of the kangaroos insists that they are due for an injury. Another says they must be getting better at their jumping skills. Do you think they're due for a crash?
Answer:
0.07 ; 0.65 ; 0.00064339296875 ; 3.02 * 10^-12
Step-by-step explanation:
Given :
Number of monkeys, n1 = 10
Probability of fall, off ; p(m) = 35% = 0.35
Number of kangaroos, n2 = 5
Probability of fall, off : p(k) = 20% = 0.2
1.) A monkey and kangaroo falls off;
p(m) * p(k) = 0.35 * 0.2 = 0.07
2.) probability that monkey will not fall off;
1 - p(m) = 1 - 0.35 = 0.65
3.) probability that a monkey falls off every one of seven nights :
P(m) = 0.35 ; for 7 nights ;
0.35 *0.35 * 0.35 * 0.35 * 0.35 * 0.35 * 0.35 = 0.35^7 = 0.00064339296875
4.)
P(x ≥ 1) = p(1) + p(2) +... + p(10)
Using binomial probability calculator :
n = 7*10 = 70 ; p = 0.35
P(x ≥ 1) = 70C1 * 0.35^1 * 0.65^69 = 3.02 * 10^-12
Ajar of jelly beans contain 7 green, 6 white, 11 purple, 9 red and 12 yellow beans. What is the probability of selecting a purple or red jelly bean?
Round your answer to the nearest thousandth. For example: 0.500 or 0.999
Answer:
The answer to the question provided is 0.444.
How many different 3-digit numbers can be made using the digits 6, 7, and 8 if no digit is reapeated? One digit is repeated?
Answer:
You can make infinite 3-digit number using the digits 6,7 and 8. Hope it helps :)
can someone explain this to me?? so im trying to find the scale factor of quadrilateral I to quadrilateral II and the answer is 1/2 but how does that make sense if quadrilateral I is smaller than Quad II? if we were to use the scale factor wouldnt it just divide our side lengths in half?
Answer:
the scale factor is 1/2 you are right and that is credible as the larger cd is 20 and smaller bc 10 which make out that it is half of the other Quad and the marking on the edge makes clear us that it is equal whatever the drawing is.
Step-by-step explanation:
BC=2CD
10x=20
x=10/20
x=1/2
if u want to find the other angle then it is 2 times of the smaller quad that will be:
AG=FE
15=2(15)=30
AB=ED
9=2(9)=18
GC=FC
13=2(13)=26
what is 32% of 655????
Answer:
209.6
Step-by-step explanation:
Answer:
209.6
plz mark as brainliest
Simplify csc θ(1−cos^2 θ)/sinθ cos θ to a single trigonometric function
Answer:
[tex]\frac{cosec\alpha(1-cosx^{2} \alpha ) }{sin\alpha cos\alpha } = sec\alpha[/tex]
Step-by-step explanation:
Step(i):-
Given that the trigonometric function
[tex]\frac{cosec\alpha(1-cosx^{2} \alpha ) }{sin\alpha cos\alpha }[/tex]
we know that sin²∝ + cos²∝ = 1
⇒ sin²∝ = 1- cos²∝
Now we have to simplify the given trigonometric function
= [tex]\frac{cosec\alpha(sin^{2} \alpha ) }{sin\alpha cos\alpha }[/tex]
= [tex]\frac{cosec\alpha(sin \alpha ) }{ cos\alpha }[/tex]
Step(ii)
we know that cosec∝ = 1/ sin∝
= [tex]\frac{\frac{1}{sin\alpha } (sin \alpha ) }{ cos\alpha }[/tex]
After cancellation sine function, we get
= [tex]\frac{1 }{ cos\alpha } = sec\alpha[/tex]
Final answer:-
[tex]\frac{cosec\alpha(1-cosx^{2} \alpha ) }{sin\alpha cos\alpha } = sec\alpha[/tex]
You buy shrimp at the market.
The shrimp cost $34.99 for two 2.5-pound bags.
What is the unit rate of the shrimp in dollars per pound?
Find the unit rate to the nearest dollar.
$30 per pound
$0.14 per pound
$7 per pound
$14 per pound
Answer:
$7 a pound
Step-by-step explanation
$35 dollars in total two 2.5 pounds is 2 x 2.5 = 5 then its 35/5=$7
Can anyone solve this? And I’d appreciate if you explain how to do it.
Given r(x) = x2 - 4x2 + 4x – 6, find the value
of r(2). What does your answer tell you about x-2 as a
factor of r(x)? Explain.
Answer:
We are given r(x)Additionally we are given that x=2 Hence: 4-16+8-6=10Which brand would Cala need more of to fertilize her 450-foot row of vegetables
Answer:
What do,you mean
Step-by-step explanation:
Which equation is graphed below?
Hope it will help you
what division equation is related to 4x6=24
Answer:
24÷6=4 or 24÷4=6
Step-by-step explanation:
Ok so we know 6x4=24, so just do 24÷6 or 24÷4.
Hope this helped!
order 9%, 0.03, 0.7% and 0.004 from least
to greatest
do this worksheet if someone do I will make him or her brainly if correct
Answer:
1. 19/100
2. 3/10
3. 80%
4. 85%
5. 3/20
Find the measures of the numbered angles of the parallelogram.
Answer:
1=40
2=140
3=40
Step-by-step explanation:
We know on side
140 and side 2 are equal
1 and 3 are equal
So since 140 and 2 are equal
140*2=280
360 degrees total in any 4 sided shape
360-280=80
80/2=40
share 660kg in ratio of 5:7
5x+7x=660;
12x=660;
x=660:12;
x=55 (kg).
Then 5x=5×55=275 kg and 7x=7×55= 385 kg.
The required ratio is therefore
660= 275:385.
y = 5x - 10
Can you solve for x
Answer:
[tex]x = \frac{1}{5}y + 2[/tex] or [tex]x = \frac{y+10}{5}[/tex] (Not sure which one is preferred in your case)
Step-by-step explanation:
Key skills needed: Evaluating expressions
1) We are given: [tex]y = 5x-10[/tex]
2) To solve for the x variable, we want to leave the term with "x" by itself.
This means we add 10 to both sides
--> [tex]y + 10 = 5x[/tex] (Since -10 and +10 cancel out to make 0 or nothing)
3) Then we divide by 5 on both sides to get "x" completely by itself.
-----> [tex]\frac{y+10}{5} = x[/tex]
4) You can keep it as is so --> [tex]x = \frac{y + 10}{5}[/tex]
or you can divide "y" by 5 and "10" by 5 and get --> [tex]x = \frac{1}{5} y + 2[/tex]
(I am not sure which form is preferred one is preferred as the teacher matters)
Hope you understood and have a nice day!!
what is the equation of the line passing through the points (-4,-7) and (8,-13)
Answer:
y=5/3x-79/7
Step-by-step explanation:
(-4, -7)
x1 y1
(8,-13)
x2 y2
y2-y1/x2-x1=
13+7/8+4= 20/12= 10/6= 5/3
y=5/3x+b
-7=5/3(-4)+b
The equation of a line passing through the points (-4,-7) and (8,-13) will be x + 2y + 18 = 0.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
The given points are (-4,-7) and (8,-13).
Then the equation of a line passing through the points (-4,-7) and (8,-13) will be
[tex]\begin{aligned} y + 13 &= \dfrac{-13+7}{8+4} (x - 8)\\\\y + 13 &= - \dfrac{1}{2} (x - 8)\\\\2y + 26 &= -x + 8\\\\x + 2y + 18 &= 0 \end{aligned}[/tex]
More about the linear system link is given below.
https://brainly.com/question/20379472
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The table below represents Mark's assets and liabilities.
Item
Value
Pocket Money
$18
Checking Account Balance $45
Loan from friend
$14
Check for mowing lawn $25
What is the total of Mark's liabilities?
O $39
O $25
O $18
O $14
Answer:
18
Step-by-step explanation:
Which of the following best describes the expression 6(y + 3)?
Please !
Answer:
The product of a constant factor of six and a factor with the sum of two terms
Step-by-step explanation:
5 is what percent of 8 I need ASAP
Answer:
62.5%
Step-by-step explanation:
Answer:
Fraction Percent
4/8 50%
5/8 62.5%
6/8 75%
7/8 87.5%
Step-by-step explanation:
I think this is right
a.
In 1983, a cast-iron pan cost $28.35. Today, a cast-iron pan costs $52.95. If the CPI is 166, what is the percent relation of the
actual price of a cast-iron pan to the expected price?
The actual price is 11.1% lower than the expected price.
The actual price is 20.8% lower than the expected price.
The actual price is 31.5% higher than the expected price,
d The actual price is 12.5% higher than the expected price.
b
C
Please select the best answer from the choices provided
Ο Α
B
O CO
OD
Answer:
D. The actual price is 12.5% higher than the expected price.
Step-by-step explanation:
hope i helped :)
12) Two rectangles are similar. The length of small rectangle is 4 and the length of the big
rectangle is 12. If the perimeter of the smaller rectangle is 28, then what is the perimeter
of the larger rectangle
Answer:
84
Step-by-step explanation:
To get from 4 to 12, you multiply with 3.
Everything is 3 times as big in the larger rectangle.
This includes the perimeter.
Example:
small rect 4x10, perimeter 4+4+10+10 = 28
large rect 12x30, perimeter 12+12+30+30 = 84
but also 28x3 = 84
The perimeter of the larger rectangle is 84.
What is perimeter?Its the sum of length of the sides used to made the given figure.
We are given that length of small rectangle is 4 and the length of the big
rectangle is 12. If the perimeter of the smaller rectangle is 28,
The small rectangle
length = 4
perimeter = 28
The big rectangle
length = 12
perimeter = ?
The small rectangle perimeter = 2l + 2w
28 = 2 * 4 + 2 w
28 - 8 = 2w
20 / 2 = w
10 = w
The big rectangle perimeter;
4 w = 10 * 12
w = 120 / 4 = 30
Perimeter = 2*12 + 2*30
= 24 + 60 = 84
The perimeter of the big rectangle is 84.
Learn more about perimeter here:
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given the function f(x)=5x-3/4,which of the following is correct?
Answer:
3) [tex]f^{-1}(x)=\frac{4x+3}{5}[/tex]
PLEASE HELP!!!! WILL GIVE POINTS
Answer:
3.0
Step-by-step explanation:
(30PTS) What are the slopes of the asymptotes of a hyperbola with equation x^2/2^2-y^2/6^2=1
Answer:
2x2−3y2=6or2x26−3y26=1 or. x23−y22=1or(x−0)2(√3)2−(y−0)2(√2)2=1. This is standard form of the equation of a hyperbola with center.
Step-by-step explanation:
c2 = a2 + b2. Every hyperbola has two asymptotes. A hyperbola with a horizontal transverse axis and center at (h, k) has one asymptote with equation y = k + (x - h) and the other with equation y = k - (x - h).
The slopes of the asymptotes of the hyperbola are +3 and -3.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The standard equation for a hyperbola with a horizontal transverse axis is:
[tex](x-h)^2/a^2 - (y-k)^2/b^2 = 1[/tex]
where (h,k) is the center of the hyperbola, "a" is the distance from the center to the vertices along the x-axis, and "b" is the distance from the center to the vertices along the y-axis.
Comparing this to the given equation:
[tex]x^2/2^2 - y^2/6^2 = 1[/tex]
We can see that h = k = 0, a = 2, and b = 6.
The slopes of the asymptotes are given by:
±(b/a)
So, the slopes of the asymptotes are:
±(6/2) = ±3
Therefore,
The slopes of the asymptotes of the hyperbola are +3 and -3.
Learn more about equations here:
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the step function f of x is graphed what is the value of f of 0?
Answer:
AYYYYYYYYYYYY YO IS SNOOP DOGG
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
Which Expressions are equivalent to:
3(2/3p + 3 - 1/3p - 5)
Picture is provided
Answer:
the answers are p - 6, 3 (1/3p + 3 - 5), and 3 (1/3p - 2)
Answer:
3 (1/3p+3-5), p-6, 3(1/3p-2)
Step-by-step explanation:
I did the iready quiz and got it correct.
Which set of ordered pairs represents a function? (1 point)
A. {(0, 1), (1, 3), (1, 5), (2, 6)}
B. {(0, 0), (1, 2), (2, 4), (3, 4)}
C. {(0, 1), (1, 2), (2, 3), (2, 4)}
D. {(0, 0), (0, 2), (2, 2), (2, 4)}
Answer:
I believe c.
Step-by-step explanation:
Answer:
its a i did it and it was correct
Step-by-step explanation:
Write an equivalent expression in standa
form and collect like terms.
2x - (x + 8) - 4
