Help, so You pick a card at random. Without putting the first card back, you pick a second card at random. There are 3 cards, a 5 a 6 and a 7 What is the probability of picking a 5 and then picking a 6?
Given:
There are 3 cards, a 5 a 6 and a 7.
You pick a card at random. Without putting the first card back, you pick a second card at random.
To find:
The probability of picking a 5 and then picking a 6.
Solution:
We have,
Total number of cards = 3
Number of card of 5 = 1
So, probability of getting a card of 5 is:
[tex]P(5)=\dfrac{\text{Number of card of 5}}{\text{Total number of cards}}[/tex]
[tex]P(5)=\dfrac{1}{3}[/tex]
After this selection, the remaining number of cards is 2. So, probability of getting a card of 6 in second draw is:
[tex]P(6)=\dfrac{\text{Number of card of 6}}{\text{Total number of remaining cards}}[/tex]
[tex]P(6)=\dfrac{1}{2}[/tex]
Now, the probability of picking a 5 and then picking a 6 is
[tex]P(\text{5 then 6})=P(5)\times P(6)[/tex]
[tex]P(\text{5 then 6})=\dfrac{1}{3}\times \dfrac{1}{2}[/tex]
[tex]P(\text{5 then 6})=\dfrac{1}{6}[/tex]
Therefore, the probability of picking a 5 and then picking a 6 is [tex]\dfrac{1}{6}[/tex].
if a and b are the zeros of the quadratic polynomial 4x2+4x+1, find the value of a/b+b/a?
Answer:
2
Step-by-step explanation:
First you need to factor your quadratic equation. You'll get (2x+1)(2x+1). Your two zeroes will be -1/2 and -1/2 with one being a, the other b. So then
a/b = (-1/2)/(-1/2)
and
b/a = (-1/2)/(-1/2)
Both reduce to 1. So a/b + b/a is 1+1=2
Mark has a bag with different flavors of candy. The bag contains 4 cherry, 3 lemon, 7 watermelon and 2 grape candies.
What is the probability of Mark picking up the cherry or grape candy?
3/4
6/7
3/8
2/5
Answer:
3/8
Step-by-step explanation:
there are 16 candies and 6 of them are cherry and grape
so our fraction is 6/16
simplified its 3/8
hope this helps <3
Maria plans to use fencing to build an enclosure or enclosures for her two horses. A single enclosure would be square shaped and require an area of 2,025 ft2. Two individual adjacent enclosures would be rectangular, with dimensions 20 ft by 40 ft with a 40 ft divider between the two enclosures. A square and a rectangle are shown. The square has an area of 2,025 feet squared. The rectangle is comprised of 2 rectangles that are 20 by 40 feet long. Which statement explains the design Maria should choose to minimize her costs
Answer:
A. The singular enclosure would minimize cost because it requires 180 feet of fencing.
Step-by-step explanation:
Given
Single enclosure
[tex]Area = 2025ft^2[/tex] --- of square
Two adjacent enclosures
[tex]Dimension= 20ft\ by\ 40ft[/tex] ---- both rectangles
[tex]Divider = 40ft[/tex]
Required
Determine the true statement to minimize cost
Start by calculating the perimeter of the single enclosure.
Let
[tex]l \to[/tex] length of the enclosure (square shape)
So:
[tex]Area = l^2[/tex]
[tex]2025 = l^2[/tex]
Rewrite as:
[tex]l^2 = 2025[/tex]
Take square roots
[tex]l = 45[/tex]
The perimeter (P) is then calculated as:
[tex]P = 4l[/tex]
[tex]P = 4 * 45[/tex]
[tex]P_1 = 180ft[/tex]
Next, the perimeter of the two enclosures.
Let
[tex]l \to[/tex] length of the enclosure
[tex]w \to[/tex] width of the enclosure
[tex]l = 20[/tex]
[tex]w =40[/tex]
The perimeter of 1 enclosure is:
[tex]P = 2(l + w)[/tex]
[tex]P = 2(20 + 40)[/tex]
[tex]P = 2*60[/tex]
[tex]P = 120[/tex]
For 2 enclosures
[tex]P_2 =2 * P[/tex]
[tex]P_2 =2 * 120[/tex]
[tex]P_2 =240[/tex]
Remove the length of the divider
[tex]P_2 = 240 - 40[/tex]
[tex]P_2 = 200ft[/tex]
By comparison;
[tex]P_1 < P_2[/tex]
i.e.
[tex]180ft < 200ft[/tex]
Hence, the singular enclosure will minimize costs
Answer:
A
Step-by-step explanation:
1 If you were looking to find the range of a set of numbers, what would be the correct first step? A Add the smallest and largest numbers together. B Subtract the smallest number from the largest number. C Add all the numbers together. D Find the number at the midpoint of the set.
Answer:
b.) subtract the smallest number from the largest number
Step-by-step explanation:
The radius of a cylindrical construction pipe is 3.5ft. If the pipe is 40ft long, what is its volume?
Use the value 3.14 for π, and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answer:
1539 ft^3
Step-by-step explanation:
3.5×3.5=12.25
12.25×3.14=38.465
38.465×40=1,538.6
1538.6 rounded to the nearest whole number is 1539.
A bag contains 9 marbles: 3 are green, 4 are red, and 2 are blue. Tammy chooses a marble at random, and without putting
it back, chooses another one at random. What is the probability that the first marble is blue and the second is green? Write
your answer as a fraction in simplest form.
Answer:
1/12
Step-by-step explanation:
9 total marbles
probability that the first marble is blue
p = 2/9
the second is green
p = 3/8
prob of both
p = 2/9 * 3/8
p = 6/72
p = 1/12
p(3,-5)t(x,y)=(x+4,y-3). p'=
Answer:
Step-by-step explanation:
(7,-8)
is the answer
Use the following function rule to find f(-62). help plz!!
Answer: 8
Step-by-step explanation: plug in -62 as equal to x
7 times 6 pls answer this
Answer:
42
Step-by-step explanation:
7 * 6 = 42
Hope this helps!
Answer:
42
Step-by-step explanation:
6 x 7 =42
Hope this helps! Please mark brainiest!
the circumference is 135.02 ft what is the diameter?
How do I graph y=3tanx?
Answer:
by graphing it
Step-by-step explanation:
Identify one hormone produced by an endocrine gland and state how it aids in the maintenance of homeostasis.
A - Monomial
B - Binomial
C - Trinomial
D - none of the above
Answer:
the correct answer is option D
PLZ HELP ME ANSWER IN SCIENTIFIC NOTATION FOR BOTH QUESTIONS WITH STEPS DUE BY 12PM
Answer:
86868600 for C and 416.88 for the D
What is the value of i^20+1?
A. 1
B. -1
C. -i
D. i
Answer:
the answer is D. i
Step-by-step explanation:
Answer:
bi
Step-by-step explanation:
took test
8.612 a rational number
Answer:
yes it is if we can write decimal numbers in the form of a fraction then it is a rational number
udent
You roll a number cube two times. Which of the theoretical probabilities are accurate?
Check all that apply.
OP(1 then 0) = }
Pleven number then odd number) = 4
P(6 then 2) = 36
Pleven number then 5) = 12
ook
ons
ative
Plodd number then 2) =
HELP
Answer:
B ; C ; D
Step-by-step explanation:
Number of faces on a number cube = 6
Sample space = (1, 2, 3, 4, 5, 6)
P(1 then 0)
P(1) = 1/6 ; P(0) = 0
P(1 then 0) = 1/6 * 0 = 0
P(even number then odd number) :
P(even number) = 3/6 = 1/2
P(odd) = 3/6 = 1/2
P(even number then odd number) = 1/2 * 1/2 = 1/4
P(6 then 2) :
P(6) = 1/6 ; P(2) = 1/6 = 1/2
P(6 then 2) = 1/6 * 1/6 = 1/36
P(even number then 5) :
P(even) = 3/6 = 1/2
P(5) = 1/6
P(even number then 5) = 1/2 * 1/6 = 1/12
P(odd number then 2) :
P(odd) = 3/6 = 1/2
P(2) = 1/6
P(odd number then 2) = 1/2 * 1/6 = 1/12
A nearby pond has 5 frogs, and the population doubles every year. The inequality 5(2)^t>75, where t is the number of years, models when the population of frogs will be greater than 75.
Based on the inequality, when will the population of frogs in the pond be greater than 75?
t>4 years
t>7.5 years
t>2 years
t>1 year
Answer:
4 and 7.5 years will be greater than 75
Step-by-step explanation:
4 year 10,20,40,80
7.5 years 10,20,40,80,160,320,640,960
find the lcm of 56 and 72
Answer:
504
Step-by-step explanation:
alex has a peice of fabric that is 56 inches long and 3 inches wide. He cuts it into pieces that are each 7 inches long and 1 inch wide. What is the greatest number of 7 inch by 1 inch peices can alex get?
Answer:
24
Step-by-step explanation:
trust
hello please help i’ll give brainliest
Answer:
2nd and 3rd OptionsStep-by-step explanation:
As,
These two,
A large rock breaking down into smaller rocks, and water carving a canyon out of the ground
Are physical changes within the Earth's system
trig question in picture above
solve for x and round to the nearest tenth
Answer:
31.9
Step-by-step explanation:
We have the hypotonouse and need the adjacent side
to solve for x we will use CAH
Cos(15)=x/33
33cos(15)=x
x=31.87555 which rounds to 31.9
72.5 = -4 + 8.5h
76.5 = 8.5h
Answer:
you didnt include the options to choose from but, i saw this on edge and the answer is B. :)
Step-by-step explanation:
Answer choices are
A. 4
B. 6
C. 8
D .10
Answer:
c us the correct answer for this question
Help me plzzz I need area and perimeter
Answer:
Area = 37.5
Perimeter = 36
Step-by-step explanation:
Have a good day! :)
Ps: I am not sure my method of finding area is correct
I will put the method in the comments
how to find the P: To find the p of Any Shape is the same formula, adding all the sides up. So to find the p of this shape all you need to do is add all the sides up. 3+12.5+7.5+13. Add these up and you get the P
PLEASE HELP ME I AM FAILING
Answer:
2, 3, 6
Step-by-step explanation:
Answer:
C, E, F,
Step-by-step explanation:
They all equal 4x^2+16x+16
please help i will give brainliest
Answer:
Step-by-step explanation:
P=3/6 ×5/26=5/52
2.for Corner
P=3/6×5/26=5/52
3. for Cecilia
P=2/6×5/26=5/78
Taylor bought a watch on sale for 60% off of the original price, and another 10% off of the discounted price. If the watch originally cost $82, what was the final sale price?
Answer:
I think the answer is $4.92.
Step-by-step explanation:
Although the answer seems a little unreasonable, I think this is the answer:
$82 * 60% = $49.2
49.2 * 10% = $4.92
Please mark brainliest if correct!!!!!!!!!!!!!!! have a nice day!!
Find the volume of the prism shown.
Answer:
41.16 m³
Step-by-step explanation:
1/2 ( 2.8 x 4.2) * 7 = 5.88
5.88 x 7 = 41.16
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Suppose the commute times for employees of a large company follow a
normal distribution. If the mean time is 22 minutes and the standard
deviation is 5 minutes, 95% of the employees will have a travel time within
which range?
A. 17.25 minutes to 26.75 minutes
B. 12 minutes to 32 minutes
C. 7 minutes to 37 minutes
D. 17 minutes to 27 minutes
Answer:
12 minutes to 32 minutes
Step-by-step explanation:
just took exam
If the mean time is 22 minutes and the standard deviation is 5 minutes, 95% of the employees will have a travel time within 12 minutes and 32 minutes.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
We know that the mean travel time is 22 minutes (µ = 22) and the standard deviation is 5 minutes (σ = 5).
Using the empirical rule, we know that 95% of the data will fall within 2 standard deviations of the mean.
Therefore, we need to find the interval that is 2 standard deviations away from the mean in both directions.
The lower end of the range would be:
µ - 2σ = 22 - 2(5) = 12 minutes
The upper end of the range would be:
µ + 2σ = 22 + 2(5) = 32 minutes
Therefore, 95% of the employees will have a travel time between 12 minutes and 32 minutes.
To learn more on Statistics click:
https://brainly.com/question/30218856
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