Suppose a box contains 3 defective light bulbs and 12 good bulbs. Two bulbs are chosen separately from the box without replacement. What is the probability that one of two bulbs drawn is defective and one is not?
Answer:
[tex]Probability = \frac{12}{35}[/tex]
Step-by-step explanation:
Given
Represent Defective Bulbs with D and non good bulbs with G
[tex]D = 3[/tex]
[tex]G = 12[/tex]
The probability that one is defective and the other is not can be represented with: (D and G) or (G and D)
Which means that the defective is selected first, then the good one or the good one is selected first, then the defective one.
This is then calculated as:
[tex]Probability = \frac{n(D}{Total} * \frac{n(G)}{Total - 1} + \frac{n(G}{Total} * \frac{n(D)}{Total - 1}[/tex]
We used Total - 1 on second selections because it is a probability without replacement
[tex]Probability = \frac{3}{15} * \frac{12}{15- 1} + \frac{12}{15} * \frac{3}{15- 1}[/tex]
[tex]Probability = \frac{3}{15} * \frac{12}{14} + \frac{12}{15} * \frac{3}{14}[/tex]
[tex]Probability = \frac{1}{5} * \frac{6}{7} + \frac{2}{5} * \frac{3}{7}[/tex]
[tex]Probability = \frac{6}{35} + \frac{6}{35}[/tex]
[tex]Probability = \frac{12}{35}[/tex]
find the slope of the line and simplify the answer.
I need it asap!! :)
i’ll give max points :))
The completed construction of a regular hexagon is shown below. Explain why AACF is a
30°-60°-90° triangle. Show a picture, please!
Answer:
You can prove that angle C is 30°. This is because we know that angle B is 120° also, and interior angles add to 180°, which makes angle BCF 60°. Then we can divide this by 2 as angle BCF is bisected by AC, so, therefore, angle ACF is 30° as 60 ÷ 2 = 30.
You can then prove angle A is 90°. First, we can find angle BAC because it is part of a triangle, and angles in a triangle add to 180°. This means we can do 30 + 120 = 150, and 180 - 150 = 30° which is angle BAC. Then we do 120 - 30 = 90, as the whole of angle BAF is 120°.
I hope this helps!
PLS ANSWER CORRECTLY Which expression is a perfect cube?
A. -1,452 m^18 n^15 p^22
B. -1331 m^18 n^15 p^21
C. 1331 m^18 n^15 p^22
D. 1452 m^18 n^15 p^21
Answer:
B. -1331 m^18 n^15 p^21Step-by-step explanation:
A. -1,452 m^18 n^15 p^22
No. -1452 is not a perfect cube.B. -1331 m^18 n^15 p^21
(-11)^3(m^6)^3(n^5)^3(p^7)^3YesC. 1331 m^18 n^15 p^22
No. p^22 is not a perfect cubeD. 1452 m^18 n^15 p^21
No. 1452 is not a perfect cube.Answer: B. -1331 m^18 n^15 p^21
Step-by-step explanation:
you can buy 3 apples at the quick stop for $1.29. you can buy 5 apples at shop and save for $2.45. which place is better buy?
Answer:
Quick Stop -
3 apples = $1.29
1 apple = $0.43
Shop -
5 apples = 2.45
1 apple = 0.49
So the quick stop is better!
During a sale, all T-shirts are $5 off. Timani used a coupon to get an additional $10 off his purchase. If the original price of a T-shirt was $30, how much did Timani pay?
Answer:$15
Step-by-step explanation:
$30-$5=$25
$25-$10=$15
The Pythagorean theorem describes the relationship between the lengths of legs a and b and the hypotenuse c of any right triangle. a2 + b2 = c2 Complete the equation below by writing an expression equivalent to the length of a, the leg of a right triangle.
Answer:
Step-by-step explanation:
a^2=b^2-c^2
"Taylor's Toys" produced 600 remote control cars in two colors. For blue cars they produced 60 more than 3 times as many orange cars. How many of the cars were blue?
Explain how u solved this and step by step ( it's due rn )
sophia scored 92 percent in a math test. If the test had 50 questions, how many did she get right?
Answer:
Sophia got 46 questions right.
Step-by-step explanation:
Heres why:
In order to find how much she got right, we put 92% over 100 and make it a fraction so that would be 92/100.
Now, she had 50 questions. So, we will put that over 1. So that would look like this: 50/1.
Finally, we multiply: 92/100 times 50/1.
This equals 4600/100 which equals 46
SO: Sophia got 46 questions right! Hope this helps and plz mark brainliest if you want to! :)
of factor
5 Completează tabelul
cu numerele potrivite:
factor 5 8
factor 7.
9
produs 56 45
9
72
Answer:..
Step-by-step explanation:
The tank is 10 feet long, feet wide, and 6 feet tall.
What is the volume of the tank in cubic feet?
Answer:
60
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
A company is packing cartons of candles. Each carton can hold 74 candles. So far, 48 cartons have been packed, but only 28 cartons have been loaded on a truck. How many more candles are left to load on the truck? The amount of candles left to load on the truck is .
Please help!!! I am super lost on this question and what is going on
1st and 5th
Step-by-step explanation:first think
seccond use your head
third dont always go strait to brainly
Which shows the expressions in the order they would appear on a number line from least to greatest? (5 points)
A. 2 to the power of 3, square root of 5, square root of 20, square root of 11, 11 over 9
B. 2 to the power of 3, square root of 11, 11 over 9, square root of 20, square root of 11
C. 11 over 9, square root of 5, square root of 11, square root of 20, 2 to the power of 3
D. 11 over 9, 2 to the power of 3, square root of 5, square root of 20, square root of 11
Answer:
C) 11/9, [tex]\sqrt{5}[/tex] , [tex]\sqrt{11}[/tex], [tex]\sqrt{20}[/tex], 2^3
Step-by-step explanation:
2^3 = 8
[tex]\sqrt{5}[/tex] = 2.236....
[tex]\sqrt{20}[/tex] = 4.472...
[tex]\sqrt{11}[/tex] = 3.317...
11/9 = 1.222...
So from least to greatest:
11/9, [tex]\sqrt{5}[/tex] , [tex]\sqrt{11}[/tex], [tex]\sqrt{20}[/tex], 2^3
The answer would be C.
Help plz i have only tonight 11;59
Answer:
Base = 16, height 64
Step-by-step explanation:
It's a triangle so u have to multiply it with 1/2 or divide by 2, x will equal both height and base:
(1/2)4x^2 = 512
Multiply 2 to both sides
4x^2 = 1024
divide both sides by 4
x^2 = 256
[tex]\sqrt{x^2}[/tex] = [tex]\sqrt{256}[/tex]
x = 16, base is 16 and height is 16(4) = 64
Alright this took me some time but I got it now, u might think why 16 and 64? 16 times 64 is not 512, but the equation for a triangles area is [tex]\frac{b h}{2}[/tex] or b·h·1/2 , so if u plug the numbers into the equation it will equal 512:
16 · 64 · 1/2= 1024 · 1/2 = 512
What is 6[cos(70°) + i sin(70°)] ÷ 2[cos(5°) + i sin(5°)]?
Answer:
3[cos(65°) + i sin(65°)]
Step-by-step explanation:
PLZ HELP
Explain the difference between -2^4 and (-2)^4, and evaluate each power
and
Use your exponent rules to express as a single power, 94 ÷ 27^2
Urgent!!! 100 points!!! Scientists at the new company bung tested their bungee cords using weights from 0 to 500 pounds. Using the data from testing, they modeled the relationship between the weight on the bungee cord and the length of the cord with the function l = 0.05w + 10 where w is the weight of the cord (in pounds) and l is the length of the cord (in feet). Identify the constant term and explain its meaning in the context of the data.
Answer:
The constant term is the weights rate of change, because the formula never changes.
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan has a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. If the test predicts that Nathan is not allergic to penicillin, what is the probability after the test that Nathan is not allergic to the drug?
A.
0.1135
B.
0.2450
C.
0.9423
D.
0.9932
Answer:
im late but if anyone sees this question its 0.9423
Step-by-step explanation:
The test predicting that he does not have the drug and is correct is 0.98 x 0.25.
Predicting that he does not have the drug but is wrong is 0.02 x 0.75
[tex]\frac{ (0.98 * 0.25)}{ (0.98 * 0.25) + (0.02 * 0.75} \\\\=\frac{ (0.245)}{ (0.245) + (0.015)} \\\\= \frac{ 0.245}{ 0.26} \\\\=0.9423[/tex]
Got a 5/5 on plato. The other similar answer is 0.245 for the shorter question
Help me Please.............
Answer:
I believe the answer is 20
Step-by-step explanation:
Liam earned $1,200 in 2 weeks at his job. Matthew earned $1,450 in 4 weeks at his job.
Which explains who earned more per week?
Which set of data points represents an exponential function?
Answer:
D
Step-by-step explanation:
In the data set in option D, the x-values are equally spaced, (i.e. [tex] \delta x = 1 [/tex], however, the x-value are not equally spaced. This rules out the possiblity of the data set in option D being a linear function.
To confirm if it's an exponential function, let's examine if the data set has a "constant multiplying factor", n, that takes us from one y-value to a successive y-value.
Thus:
What do we multiply ⅑ with that will give us the next successive y-value, 1?
Thus, let n be the constant multiplying factor we are looking for.
Therefore:
⅑ × n = 1
Solve for n. Multiply both sides by 9
n = 9.
If we multiply the second y-value which is 9, by 9, wwe will get the next successive y-value, which is 81.
This means the data set has a constant multiplying factor of 9.
Therefore, the data set in option D represents an exponential function.
Determine if the two triangles are congruent. If they are, state how you know.
A.
AAS
B.
ASA
C.
SSS
D.
SAS
Answer:
not congruent
Step-by-step explanation
only one side has a 90 degree angle
PLEASE HELP! Determine the slope and the y-intercept of the table.
Answer:
slope : 1
y-intercept : 0
Step-by-step explanation:
hope this helps/is right lol
What is 1/8 expressed as a percent? help ASAP PLS
Answer:
12.5%
Step-by-step explanation:
Answer:
12.5%
Step-by-step explanation:
Look at the expanded number below and then choose the number that it represents.
3 x 100 + 5 x 10 + 6 x 1 + 8 x .1 + 2 x .01
A. 3, 568. 20
B. 356. 82
C. 35. 682
D. 3. 5682
. You are printing posters for a concert and need them to be 35" tall. The small copy you have is 8" wide by 10 inches tall.
cd an anyone help me pls
Answer:
ITS FALSE
CAN I PLEASE GET BRAINLIEST IM TRYING TO RANK UP THANKSS <3
Step-by-step explanation:
PLEASE HELP ME!!! Choose all of the algebraic expressions that could represent the phrase below.
nine more than the product of 5 times the number of tires t
A. 9 + 5t
B. 5 ▪ t + 9
C. (9 + 5)t
D. (5 × t) + 9
E. 5 + 9t
Answer:
9 + 5t
Step-by-step explanation:
Nine more means 9 plus (9+)
after the 9+, it says 5 times the number of t. That means 5*t, or 5t.
putting them together, you get 9+5t
Answer:
A. 9 + 5t
Step-by-step explanation:
hope it helps :)
What is the
y-intercept?
Answer:
3
Step-by-step explanation:
y-intercept is 3,where x=0
Answer:
(0,3)
Step-by-step explanation:
The graph intersects the y-axis at (0,3). A y-intercept is where line crosses the y-axis.
:)
