We have "9 sockets choose 3" for the 3 red lights. That's (9C3) ways.
After screwing in those 3 red bulbs, there remain only 6 open sockets.
We have "6 sockets choose 4" for the 4 yellow lights. That's (6C4) ways.
After screwing in those 4 red bulbs, there remain only 2 open sockets.
We have "2 sockets choose 2" for the blue lights. That's (2C2) = 1 way.
After screwing in those 2 bulbs, all the sockets have a bulb in them.
Answer (9C3)(6C4)(2C2) = 1260.
A 44-foot long wire will be attached to the top of a
pole for support, and will be pulled tight and
anchored to the ground. If the wire makes a 13
degree angle with the ground, how tall is the pole?
Round your answer to the nearest hundredth of a
foot
Answer:
Step-by-step explanation:
h = 44sin13 = 9.89784... = 9.90 ft
can find anything to answer this
Answer:
where?
Step-by-step explanation:
maybe I can help to your question
What ordered pair describes the location of point A?
Enter your answer by filling in the boxes.
HELP ASAP
Find The nth Term of this number sequence
18, 16, 14, 12
a = 18
d = 16 - 18 = -2
an = a + (n - 1) × d
an = 18 + (n - 1) × (-2)
an = 18 - 2n + 2
an = -2n + 20
determine if you can use the hypotenuse-leg congruency property to prove the triangles are congruent
Answer:
4. We don't know if they're right triangles
Step-by-step explanation:
If you could assume that the triangles are right triangles, then you would be able to prove congruency with HL. In this case however, the angles are not given so you can't assume anything.
1. Transplant operations have become routine. One common transplant operation is for kidneys. The most dangerous aspect of the procedure is the possibility that the body may reject the new organ. There are several new drugs available for such circumstances and the earlier the drug is administered, the higher the probability of averting rejection. The New England Journal of Medicine recently reported the development of a new urine test to detect early warning signs that the body is rejecting a transplanted kidney. However, like most other tests, the new test is not perfect. In fact, 20% of patients that experience kidney rejection and 9% of patients that do not experience kidney rejection receive a test result that proves to be incorrect. Physicians know that in about 30% of kidney transplants the body tries to reject the organ. If the new test has a positive result (indicating early warning of rejection), what is the probability that the body is attempting to reject the kidney?
Using conditional probability, it is found that there is a 0.7921 = 79.21% probability that the body is attempting to reject the kidney.
Conditional Probability
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened. [tex]P(A \cap B)[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.In this problem:
Event A: Positive test.Event B: Body attempting to reject the kidney.The percentages associated with a positive test are:
80% of 30%(experience kidney rejection).9% of 70%(do not experience kidney rejection).Hence:
[tex]P(A) = 0.8(0.3) + 0.09(0.7) = 0.303[/tex]
The probability of both a positive test and the body attempting to reject the kidney is:
[tex]P(A \cap B) = 0.8(0.3) = 0.24[/tex]
Hence, the conditional probability is:
[tex]P(B|A) = \frac{0.24}{0.303} = 0.7921[/tex]
0.7921 = 79.21% probability that the body is attempting to reject the kidney.
A similar problem is given at https://brainly.com/question/25553471
A car was valued at 380,000 in the year 2014. By 2019, the value had depreciated to 110,000. If the cars value continues to drop by the same percentage,what will it be worth by 2017?
Please help thanks and Godbless
Answer:
160000
Step-by-step explanation:
LM bisects
KL = LN
m
m
m
Answer:
Only one must be true
Step-by-step explanation:
Given log 102 = 0.3010 and log 103= 0.4771, find log 1049 without using a calculator.
Bearing in mind that when the base is omitted, base 10 is assumed, or namely log(x) = log₁₀(x).
[tex]\begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\log_{10}(2)=0.3010\qquad \qquad \log_{10}(3)=0.4771 \\\\[-0.35em] ~\dotfill\\\\ \log_{10}\left( \cfrac{4}{9} \right)\implies \log\left( \cfrac{4}{9} \right)\implies \log\left[ \cfrac{2^2}{3^2} \right]\implies \log\left[ \left( \cfrac{2}{3} \right)^2 \right]\implies 2\log\left[ \cfrac{2}{3}\right] \\\\\\ 2[\log(2)-\log(3)]\implies 2[0.3010~~ - ~~0.4771]\implies -0.3522[/tex]
Write the equation of the line passing through the points (9,2 ) and (-3, -2)
Answer:
[tex]y=\frac{1}{3} x-1.[/tex]
Step-by-step explanation:
if A(9;2), B(-3;-2) then it is possible to make up the required equation according to the form:
[tex]1. \ \frac{x-X_B}{X_A-X_B} =\frac{y-Y_B}{Y_A-Y_B}[/tex]
2. after the substitutuion X(A)=9; X(B)=-3; Y(A)=2 and Y(B)=-2 into the form:
[tex]\frac{x+3}{9+3} =\frac{y+2}{2+2}; \ => \frac{x+3}{12} =\frac{y+2}{4}; \ => \frac{x+3}{3} =y+2.[/tex]
or in slope-interception form:
[tex]y=\frac{1}{3} x-1.[/tex]
2logx= log 16 + log 4 find the value of x
Step-by-step explanation:
the rules of logarithm.
log(a×b) = log(a) + log(b)
log(a^b) = b×log(a)
2×log(x) = log(16) + log(4)
now, using the above knowledge :
log(x²) = log(16×4)
=>
x² = 16×4 = 64
x = ±8
and since a logarithm of a negative number is undefined the only plausible solution is
x = 8
Can someone help with question #3
Answer:
y = –12x –300 that will help you
The mileage on Ori's car is 73,033 miles. What is the fewest number of miles that Ori needs to drive before the mileage shows three identical digits again?
The fewest number of miles that Ori needs to drive before the mileage shows three identical digits again is 40.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We have been given that the mileage on Ori's car is 73,033 miles.
We need to find the fewest number of miles that Ori needs to drive before the mileage shows three identical digits again.
Therefore, the mileage on Ori's car = 73,033 miles.
identical digits = 40
The fewest number of miles that Ori needs to drive before the mileage shows three identical digits again is 40.
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kyle has two snakes fluffy is 2 meters long muffy is 900 millimeters long compare their lengths to fill in the blanks
_____ is the longest snake.
_____ is ______
millimeters longer than ____
PLSS HELP!!
Answer:
fluffy is the longest snake.
muffy is 900 millimeters longer than fluffy
Step-by-step explanation:
PA BRAINLIEST
HOPE ITS HELP
GOD BLESS
Write 12 as a product of primes. Use index notation when giving your answer
or
[tex]12 = {2}^{2} \times 3[/tex]- BRAINLIEST answerer
i really need some help with these!
factorize
1) x²-4y²
2) 27-8y³
you cant factorise both of them as they have nothing in common
Mr. Jones's prescription calls for 1.04 tablets per day. Based on this information, how many tablets should Mr. Jones take per day? a) 1.25 O b) 1.5 c) 1 O d) 2
I think the answer is a but I'm not sure I'm really a little confused I want to check with this app please can someone heelp me
identify the pair of similar triangles in each of the groups of triangle below
Answer:
its triangle ABC and XYZ
Step-by-step explanation:
Help help help help help help help please
Answer:
B I think.
Step-by-step explanation:
Answer:
270
Step-by-step explanation:
The figure B is just one 90° rotation away from becoming A, i.e.,
If we rotate B 90° counterclockwise, we get A.
To obtain the same figure after rotating it (counterclockwise or clockwise), the minimum degrees required are 360
So, B becomes A after 90° of rotation, while A becomes A after 360° rotation (in the same direction)
That means,
[tex] \boxed{ \mathsf{Angle \: of \: rotation \: + 90 \: = \: 360}}[/tex]
(angle of rotation is the angle which A turns about in order to line itself with B)
_________________
That makes it 270°
A six sided die is tossed. Determine the odds against rolling a 3.
The odds are :
Answer:
1/6 because 3 is one of the sides of the 6
The odds against rolling a 3 are 5:1 and the probability of rolling a 3 is 1/6
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
There are five numbers (1, 2, 4, 5, 6) that are not 3, so the number of ways to roll a number that is not 3 is 5.
The total number of possible outcomes is 6, since there are six sides on the die.
Therefore, the odds against rolling a 3 are:
5:1
This can also be expressed as a probability by dividing the number of unfavorable outcomes by the total number of outcomes:
P(not rolling a 3) = 5/6
Alternatively, the probability of rolling a 3 is 1/6, so we can also say:
P(rolling a 3) = 1/6
And the probability of not rolling a 3 is:
P(not rolling a 3) = 1 - P(rolling a 3)
= 1 - 1/6
= 5/6
Hence, the odds against rolling a 3 are 5:1 and the probability of rolling a 3 is 1/6
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Find the lengths of the sides of the triangle formed by the coordinates below. Then classify the triangle by sides.
A(1,1) B (4,1) C (4,5)
AB =
BC =
AC =
Number of congruent sides=
Then classify the triangle
Isosceles, scalene or equilateral
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{1})\qquad B(\stackrel{x_2}{4}~,~\stackrel{y_2}{1})\qquad \qquad AB = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ AB=\sqrt{(4-1)^2+(1-1)^2}\implies AB=\sqrt{3^2-0^2}\implies AB=3 \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{5})\qquad \qquad BC=\sqrt{(4-4)^2+(5-1)^2} \\\\\\ BC=\sqrt{0^2+4^2}\implies BC=4 \\\\[-0.35em] ~\dotfill[/tex]
[tex]C(\stackrel{x_1}{4}~,~\stackrel{y_1}{5})\qquad A(\stackrel{x_2}{1}~,~\stackrel{y_2}{1})\qquad \qquad CA=\sqrt{(1-4)^2+(1-5)^2} \\\\\\ CA=\sqrt{(-3)^2+(-4)^2}\implies CA=\sqrt{3^2+4^2}\implies CA=5[/tex]
well, how many congruent sides? none, all three sides differ, meaning is an scalene triangle.
What is the mean? 3 8 7 2 9 6 6 7
Answer:
6
Step-by-step explanation:
To find the mean, you add up all the numbers and divide that by the number of numbers there are.
In this case, the total is [tex]3+8+7+2+9+6+6+7=48[/tex]
There are 8 numbers.
Thus, the mean is 48 ÷ 8 = 6
Hey there!
When you hear/see the word “mean” in mathematics it usually means “average” or “total”.
Formula: sum of the total numbers ÷ total numbers in the data plot
YOUR EQUATION:
3 + 8 + 7 + 2 + 9 + 6 + 6 + 7 ÷ 8
= 11 + 7 + 2 + 9 + 6 + 6 + 7 ÷ 8
= 18 + 2 + 9 + 6 + 6 + 7 ÷ 8
= 20 + 9 + 6 + 6 + 7 ÷ 8
= 29 + 6 + 6 + 7 ÷ 8
= 35 + 6 + 7 ÷ 8
= 41 + 7 ÷ 8
= 48 ÷ 8
= 6
Therefore, your mean is: 6
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
does 17/10 and 12/5 form a proportion?
Answer:
No
Step-by-step explanation:
17/10 is not proportional to 12/5. Proportional relationships are relationships between two variables where their ratios are equivalent. 17/10 as a ratio is 17:10 and 12/5 as a ratio would be 12:5. A proportional relationship for 12/5 would be 24/10.
Hope this helps :)
No, 17/10 and 12/5 do not form a proportion.
What is a proportion?A proportion is an equation that sets two ratios at the same value.
We have two fractions,
17/10 and 12/5.
That means,
17/10 = 1.7
And 12/5 = 2.4
And 1.7 is not equals to 2.4.
So, the fraction does not show the proportional relationship.
Therefore, the fraction does not show the proportional relationship.
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maria has a share of 2/10 slice of cake what is the difficult form of the fraction
A. 0.02
B.0.2
C.0.002
D.0.20
~fractions
= 2 ÷ 10
= B. 0,2 ✔️
the method is attached
~ nice to help you ^^
The table below shows the number of classes offered at a fine arts school in New York.
Art: 45
Dance: 30
Music: 40
Theater: 35
What part-to-whole ratio represents the number of music classes offered at the school?
Answer:
40:140
Step-by-step explanation:
The explanation.is in the diagram above
. At a certain airport, 75% of the flights arrive on time. A sample of 10 flights is studied. a. Find the probability that all 10 of the flights were on time.
Answer:
0.5256
Step-by-step explanation:
X ~ B(10,0.75)
q = 1 - 0.75 = 0.25
Haala buys 13 identical shirts and 22 identical ties for £363.01 the cost of the shirt is £15.35 find the cost of the tie
Using linear system of equations, the cost tie is £7.43.
Linear equations -In everyday life, we can utilize linear equations to compare prices, make predictions, create budgets, and more. When all of the variables have a highest power of one, an equation is considered to be linear. Each variable is reliant on the others. A one-degree equation is another name for this kind of equation. Continue reading to learn how to solve a linear equation in one or two variables using its standard form, formula, graph, and rules.
Given,
Haala buys 13 identical shirts and 22 identical ties for £363.01 the cost of the shirt is £15.35,
According to question,
let cost of shirt = x
cost of tie = y
Now putting it in the equation,
13x + 22y = 363.01
given x = 15.35
⇒ y = 363.01 - 13(15.35) / 22
y = 363.01 - 199.55 / 22
y = 7.43
To learn more about linear system of equations from given link
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Integer in algebra
Need help 9th grade
Answer:
4x + 10 >1
-10. -10
4x < -9
Step-by-step explanation:
make sure to make it less than or equal to
WILL GIVE YOU BRILLIANT
State whether the graph of the linear relationship is a solid line or a set of unconnected points. Complete the explanation of your reasoning. The relationship between the number of $5 lunches you buy with a $145 school lunch card and the money remaining on the card because you select ) The relationship is a select ) buy a (select
Answer:
The relationship will be a solid line.
Step-by-step explanation:
The relationship between the number of $4 lunches you buy with a $100 school lunch card and the money remaining on the card.
The relationship will be a solid line as it is a linear and common slope. Each time you buy lunch, the amount in the card will decrease by $4.
Let the number of lunches you buy be = x
Let the amount remaining in the card be = y
So, equation forms:
When you buy 1 lunch, or x = 1
When x = 2
When x = 3
We can see that the decrease is gradual and same.
You can also see the graph attached that a straight line is formed.