Answers
For the given experiment of spinning a spinner and drawing a card, we will see that:
A) Yes, the events are independent.B) P(3 and A) = 1/16C) P(5 and C) = 0D) P(4) = 1/4 P(B or C) = 1/2E) P(3 and not D) = 3/16What are independent events?
We say that two events are independent if the outcome of one does not affect the outcome of the other.
In this case, the outcome of the spinner clearly does not affect the outcome of the card draw, so the events are independent.
How to get the probabilities?
B) First we want to get the probability of getting 3 and A.
The probability of getting a 3 when drawing a card is given by the quotient between the numbers of card with the number 3 (only one) and the total number of cards, so we have:
p = 1/4
Similar for the case of the spinner, the letter A appears twice, and there are a total of 8 letters, then the probability is:
q = 2/8 = 1/4
The joint probability is the product of the two individual probabilities, we have:
P(3 and A) = p*q = 1/4*1/4 = 1/16
C) The probability of getting a 5 and the letter C is 0, because there is no card with the number 5.
D) P(4) is the probability of drawing the card with the number 4, this is:
p = 1/4
P(B or C) is the probability of spinning the letter B or C. There are 2 B's and 2 C's, and a total of 8 letters, so the probability is:
q = (2 + 2)/8 = 1/2
E) P(1 and not D) is equal to: P(1 and A or B or C).
P(1) is 1/4.
P(A or B or C) is 6 over 8 (because there are 6 cards that are either an A, a B, or a C)
Then the joint probability is:
P(1 and not D) = (1/4)*(6/8) = 3/16
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
Related Questions
Referring to question 1, what is the predicted strength of a weld with a diameter of 51?
Answers
The predicted strength is an illustration of a linear regression
The predicted strength of a weld with a diameter of 51 is -503.2
How to determine the predicted strength?The equation of the predicted strength is given as:
Strength = -941.6992 + 8.5988*Diameter
Substitute 51 for diameter
Strength = -941.6992 + 8.5988*51
Evaluate the sum
Strength = -503.1604
Approximate
Strength = -503.2
Hence, the predicted strength of a weld with a diameter of 51 is -503.2
Read more about linear regressions at:
https://brainly.com/question/17844286
The predicted strength is an illustration of linear regression.
The predicted strength of a weld with a diameter of 51 is -503.2.
What is linear regression?Linear regression strives to show the relationship between two variables by applying a linear equation to observed data.
The equation of the predicted strength is given as:
Strength = -941.6992 + 8.5988 × Diameter
Substitute 51 for diameter
Strength = -941.6992 + 8.5988 × 51
Strength = -941.6992 + 438.5898
Strength = -503.1604
Strength = -503.2
Hence, the predicted strength of a weld with a diameter of 51 is -503.2.
Read more about linear regressions at:
brainly.com/question/17844286
Convert the equation to standard form:
f(x) = 2(x - 1)(x + 4)
Answers
Answer:
2x^2 - 10x - 8.
Step-by-step explanation:
f(x) = 2(x - 1)(x + 4)
= 2(x^2 - x - 4x - 4)
= 2(x^2 - 5x - 4)
= 2x^2 - 10x - 8.
i dont know what to say anymore just help
Answers
Each regular polygon has radii and apothem as shown. Find the measure of
each numbered angle.
Answers
Answer:
How can i unsubscribe brainly?
Answer:
Step-by-step explanation:
m∠1 = 360° ÷ 8 = 45°
m∠2 = 45° ÷ 2 = 22.5°
m∠3 = ( 180° - 45° ) ÷ 2 = 67.5°
Each square below represents one whole
Answers
Answer:
52.
Step-by-step explanation:
shaded = (3²) + (2²)
shaded = 9 + 4
shaded = 13
Unshaded = (3 x 2) + (2 x 3)
Unshaded = 6 + 6
Unshaded = 12
All = 12 + 13
All = 25
100 / 25 = 4
4 x 13 = 26 x 2
26 x 2 = 52.
Answer:
48%
Step-by-step explanation:
25 total boxes
12 are filled
12/25=48%
use the image to match the arc/angle measure.
(there is one more option that i wasn’t able to get in the photo it is 67°
Answers
Answer:
The following measurements are:
[tex]m\angle{STR}=23^\circ[/tex] (Option #4)
[tex]m{QT}=142^\circ[/tex] (Option #7)
[tex]mST=134^\circ[/tex] (Option #5)
[tex]mRQ=38^\circ[/tex] (Option #2)
Step-by-step explanation:
To begin, we can find the measure of [tex]\angle{STR}[/tex] by applying the inscribed angle theorem: an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
Since the intercepted arc (RS) is 46 degrees, we have:
[tex]46=2\theta\\23=\theta[/tex]
Next, we can find the measure of arc QT using the same theorem. So,
[tex]QT=2(71)\\QT=142[/tex]
Notice that the chord RT is actually a diameter. From the theorem about the inscribed angle including a diameter, we know that the intercepted arc will have a measure of [tex]180^\circ[/tex]. Since the arc ST is part of the arc RST, and we know RS is [tex]46^\circ[/tex], we can set up and solve this equation:
[tex]RST = RS + ST\\180 = 46 + ST\\134 = ST[/tex]
We can use the same idea to find RQ. We know that RQT is [tex]180^\circ[/tex] and QT is [tex]142^\circ[/tex], so:
[tex]RQT = RQ + QT\\180 = RQ + 142\\38 = RQ[/tex]
please help i need the answer to this question -5x-48=-7(x+8)
Answers
Collect like terms
-5x+7x=56+48
2x=104
Dividing both sides by coefficient of x
2x/2=104/2
X=52
For each equation how many solutions why?
Question e
Answers
Answer:
one real solution
Step-by-step explanation:
it has only one solution since it is a linear graph and only intercepts the x axis once
please explain how you got the answer please i need to see how you got that answer!! umm please someone give me it quick
Answers
Answer:
y>-2
Step-by-step explanation:
her mistake was she did -22-6= -28 but the correct solution is -22+6= -16
What equation best matches?
Answers
Plan 1 costs $35 per month + $5 per gigabyte of extra data used Plan 2 costs $50 per month + $2 per gigabyte of extra data used
Answers
Answer:
40+52
Step-by-step explanation:
Mr Shreshta borrowed rupees 2,000 from a bank at the rate of 4 % per year
i need answer
step by step
process by process
Answers
Answer:
Rs. 480
Step-by-step explanation:
Per month interest amount = 2000 x 0.02 = Rs.40
One total interest cost =Rs. 40 x 12 ( 12months i. e. 1 year)
= Rs. 480
From the height of 30 meters above sea level of a cliff, a ship is sighted due west. The angle of depression is 20How far from the base of the cliff is the ship? Please help
Answers
Answer:
9470m above the sea level.
Step-by-step explanation:
Find the measures of the
4 22.
140°
to
110°
i just need 22 and 23 pls
Answers
Answer:
Absolute Value measures the distance a number is from zero on the number line. ... 20) 2 - 5 = -3 21) -7+4 = -3 22) 20 - 15 = 5 23) -11 - 20 = -31
Step-by-step explanation:
Please Answer ASAP
I was kind enough to give the old ones we had a the beginning of a school year
The other one is not mines
Answers
Answer:
The answer = 9
D : 729
Step-by-step explanation:
here step-by-step is 6/2 * (1 + 2) = 9
Please help me this question
Answers
This is the answer. If this helps you please give brainliest.
Work Shown:
[tex]\frac{2^x \times 3^y}{2^4 \times 3^2} = 6\\\\\frac{2^x \times 3^y}{2^4 \times 3^2} = 2\times3\\\\\frac{2^x \times 3^y}{2^4 \times 3^2} = 2^1\times3^1\\\\2^x \times 3^y = (2^4 \times 3^2)(2^1\times 3^1)\\\\2^x \times 3^y = (2^4\times2^1) (3^2\times 3^1)\\\\2^x \times 3^y = 2^{4+1} \times 3^{2+1}\\\\2^x \times 3^y = 2^{5} \times 3^{3}\\\\[/tex]
The 2^x matches with 2^5, showing that x = 5.
3^y matches with 3^3 to get y = 3
Therefore, x+y = 5+3 = 8
The table shows the speeds of the four fastest drivers in a car race.
Driver
Speed (miles per hour)
Marco
224.362
Finn
224.136
Will
224.48
Liz
224.392
Did Marco win this week's race? Use words and numbers to justify your answer.
Answer:
14
Answers
Marco only got 2nd place
Step-by-step explanation:
forgot can you explain the answer
Answers
Answer:
18 is 30% of 60
Step-by-step explanation:
Try to line up percents % and the actual numbers they represent.
number : precent
60 is 100%
18 is x %
cross multiply
x·60 = 100·18
divide both sides by 60 to isolate x
x = ((100·18)/60
x = 30
Katie practiced her flute for 45 mins Then she ate a snack for 15 mins Next She watched televosion for 30 mins until 6:00 p.m at what time did Katie start practicing the flute
Answers
First we add 30 and 15 which is 45 then subtract that from 60 because 60 minutes make up an hour. 60-45= 15 therefore, Katie practiced the flute at 5:15 pm
What is m∠P?
There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.
m∠P =
°
Answers
Answer: 94 degrees
Step-by-step explanation:
Lukas plotted these points on the number line.
Point A: −12
3
Point B: −2
3
Point C: −11
3
Point D: −22
3
Which point did he plot incorrectly?
Point
Please mark BRAINLIEST
Answers
Answer: Point A: −12 3
explanation: I hope that helps
What number
comes next?
78.2; 78; 77.8; ...
Answers
Answer:
77.6
Step-by-step explanation:
Each number is subtracted by 0.2
Hope that helps!
Choose the student who wrote and solved the equation correctly.
The cost of 4 bananas is $2.36. What is the cost of each banana?
Answers
Using proportions, it is found that the cost of each banana is of $0.59, and Juan is the student who wrote and solved the equation correctly.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, the cost of 4 bananas is $2.36, hence the cost of each banana is given by:
C = $2.36/4 = $0.59.
Which means that Juan is correct.
More can be learned about proportions at https://brainly.com/question/24372153
if a dining room is 3 meters long in real life and is 1 centimeter long in the drawing, what scale factor does the drawing use?
Answers
Answer:
1:300
Step-by-step explanation:
Convert 2.25 to a mixed number and an improper fraction. Write answers in the simplest form.
Answers
Answer: Answer in picture
Step-by-step explanation:
Math
What is the area of this figure?
Use 3.14 for TT.
Please help
Answers
Answer:
406.08
Step-by-step explanation:
First FInd the area of the rectangle : which is short side * long side
-> 15*12=180m
Then find the area of the half circle, the formula of the area of a circle is [tex]\pi r^2[/tex]
here it's half a circle so it's [tex]\frac{\pi r^2}{2}[/tex] where r is 12
-> [tex]3.14\cdot \frac{\left(12\right)^2}{2}=226.08 m[/tex]
Finally just add the area of the rectangle with the area of the half circle
-> [tex]180+226.08=406.08 m[/tex]
A rectangular piece of paper has an area of 117 square inches and a perimeter of 44 inches. What are the dimensions of the paper?
Answers
Answer:
13x9
Step-by-step explanation:
half of perimeret of rectangle L+W
half of perimeter of rectangle = 44/2 = 22
L+W=22
LxW=117
Think of 2 numbers that added =22 and multiplied =117
13+9 =22
13x9 =117
What is the surface area of this right triangular prism?
Answers
Answer:21.08in^2.
Step-by-step explanation:A=2(wl+hl+hw)=2·(4·8+3·8+3·4)=136cm2
136 cm^2 to inch^2.=21.08
Answer:
96in²
Step-by-step explanation:
i took k-12 quiz
Please help I don't understand because of this depreciation stuff. I want to know which one will be a better buy
Answers
So if i'm reading it right, it says the total depreciation will be 13% & 14% after the 5 years. If i'm misunderstanding, let me know and i'll fix my answer because the process will be a bit different
Depreciation means a decrease in something over time. You can think of it like a "__% off" sale if that helps
For the first option, we need to find 13% of 18,000. "Of" always means multiply, so 13%*18,000=2,340
Since we're decreasing, subtract 2,340 from the original cost
18,000-2,340=$15,660
Same process for the second option
14%*22,000=3,080
22,000-3,080=$18,920
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS THANKSS
Answers
Answer:357.96in
Step-by-step explanation:
1. Surface area of a cylindar is A= 2πr(r+h)
2. A= 2·π·3 (3+16)
Second question
Answer: 296in