Answer:
1) [tex] p_i \geq 0 , \forall i[/tex]
2)[tex] \sum_{i=1}^n P_i = 1, i =1,2,...,n[/tex]
And for this case we have:
[tex] \frac{1}{2}+\frac{1}{6}= \frac{2}{3}[/tex]
By the complement rule we can find the probability that the spinner land in a non black or red space:
[tex]p(N) = 1- \frac{1}{2} -\frac{1}{3}= \frac{1}{6}[/tex]
And then the probability distribution would be:
Color Red Black N
Prob. 1/3 1/2 1/6
Step-by-step explanation:
For this case we have two possible outcomes for the spinner experiment:
[tex] p(black) =\frac{1}{2}[/tex]
[tex] p(red) = \frac{1}{3}[/tex]
In order to have a probability distribution we need to satisfy two conditions:
1) [tex] p_i \geq 0 , \forall i[/tex]
2)[tex] \sum_{i=1}^n P_i = 1, i =1,2,...,n[/tex]
And for this case we have:
[tex] \frac{1}{2}+\frac{1}{6}= \frac{2}{3}[/tex]
By the complement rule we can find the probability that the spinner land in a non black or red space:
[tex]p(N) = 1- \frac{1}{2} -\frac{1}{3}= \frac{1}{6}[/tex]
And then the probability distribution would be:
Color Red Black N
Prob. 1/3 1/2 1/6
Answer:
1/27
Step-by-step explanation:
Solve algebraically
x-4y=-10
x+y=5
Answer:
if x+y=5, then x=5-y
so x-4y=-10
5-y-4y=-10
5-5y=-10
-5y=-15
y=3
x=5-y
x=5-3
x=2
x=2; y=3
Of the last 12 contestants on a game show, 9 qualified for the next round.
What is the experimental probability that the next contestant will qualify for the next round?
Answer:
0.75
Step-by-step explanation:
Given:
Of the last 12 contestants on a game show, 9 qualified for the next round.
To find:
The experimental probability that the next contestant will qualify for the next round.
Solution:
Probability refers to the chances of occurrence of some event.
Probability = Number of favourable outcomes/Total number of outcomes
Number of contestants who qualify for the next round = 9
Total number of contestants = 12
So,
The experimental probability that the next contestant will qualify for the next round = [tex]\frac{9}{12}=\frac{3}{4}=0.75[/tex]
The Waves swim team has a ratio of 14 boy: 12 girls. If there are 39 athletes,How many girls are there?
If 7 more boys join the Waves team, how many girls should be added to the team to maintain the same ratio of boys and girls.
Answer:
1. 18 girls
2. 5 girls will be added to maintain the same ratio of boys and girls
Step-by-step explanation:
1. Boys : Girls = 14 : 12
14 + 12 = 26, 39/26 = 1.5
Boys: 14 x 1.5 = 21
Girls: 12 x 1.5 = 18
21 + 18 = 39 athletes, there are 18 girls on the 39 athletes.
2. Boys : Girls = 14 : 12
14 : 12
7 : ?
14 - 7 = 12 - ?
7 = 12 - ?
12 - 7
= 5
If there is any wrong, Please correct me or reply to me!
pls help i feel like im doing it right but i wanna make sure
Answer:
-43
Step-by-step explanation:
1. -3 x -3 x -3 = -27
2. -27- 4 x 4
3. -27- 16 = -43
Area of a Circle
10 POINTS+BRAINLIEST
Answer:
Circle 1 = 24 pi in² = 452.2 in²
Circle 2 = 706.5 in²
Circle 3 = 271.6 in²
Step-by-step explanation:
In order to find the Diameter of a circle, you have to multiply the radius by 2. According to circle 1, 12in (radius) multiplied by 2 gets you 24 pi in².
In order to find the area, you multiply the radius² and then multiply it by pi or 3.14.
Is green the circumference or the diameter??? Had a little bit of confusion in that part, but I gave you the area only for Circle 2 and 3. For circle 1 I found the diameter (24 pi in²) and the area.
Brennan measured a boarding school and made a scale drawing. A building at the school is 21 centimeters long in the drawing. The actual building is 147 meters long. What is the scale of the drawing?
Answer:
Check the explanation
Step-by-step explanation:
1 centimetre is = 0.01 meter
therefore the scale in Brennan drawing is 1 centimetre is used to represent 7 metres
Answer:
1 cm:7 meters
Step-by-step explanation:
The scale drawing shows the length in the drawing, then a colon and the actual lenght of the object. The actual building is 147 meters long and the drawing is 21 centimeters long. From this, we have:
21 cm:147 meters
As both numbers can be divided by 21, you can simplify and you would have that the scale of the drawing is:
1 cm:7 meters
The sound of thunder from a bolt of lightning was heard 2.6 seconds after the lightning hit,from 895 meter away.What was the speed of sound to the nearest tenth of a meter of a meter per person
Answer:
344.2m/s
Step-by-step explanation:
The parameters given are:
Distance=895meter
Time=2.6seconds
Therefore the speed of sound is:
Speed of sound= distance/time taken
= 895/2.6
=344.23
=344.2m/s ( to the nearest tenth)
Answer:
d 344.2 meters per second
Step-by-step explanation:
edge 2021
What is the slope of the line ?
Answer:
-3
Step-by-step explanation:
Lightning strikes Earth 1000 times in 10 seconds. a. How many times does lightning strike in 12 seconds? Lightning strikes times in 12 seconds. Question 2 b. How many seconds does it take for lightning to strike 7250 times? It takes seconds for lightning to strike 7250 times.
Answer:
1000/10x12= answer
Step-by-step explanation:
Part A:
Divide the number of lightning strikes to the number of seconds to find the average rate.
1000 / 10 = 100 strikes per second
Now, multiply by 12 to find the number of strikes that occurred.
100 * 12 = 1200 strikes in 12 seconds
Part B:
Divide the number of seconds to the number of lightning strikes to find the average rate.
10 / 1000 = 0.1 seconds per strike
Now, multiply by 7250 to find the number of seconds that passed.
0.1 * 7250 = 72.5 seconds in 7250 strikes
Best of Luck!
Please can people help??!!
Photo below
i think this is the method for solving it
This is a very hard question!! its a math riddle, the teacher said that something like this will be in our test.
My grandson is about as many days as my son in weeks, and my grandson is as many months as I am in years. My grandson, my son and I together are 120 years. Can you tell me my age in years ?
Answer:
72
Step-by-step explanation:
Let m be the age in years. If s is the son's age in years, then the son is 52x weeks old. If g is the grandson's age in years, then the will be grandson 365m days old. So.... the labels are for the equation.
365m = 52x.
Since the grandson is 12w months old,
12w = months.
Since the grandson, son and the person together are 120 years,
m + x + months = 120.
these are the labels (m, x, and month)
month = 624 x 120 / 1041 = 72.
So, I am basically 72 years old.
hope this helped :D
this is truly very hard.
Answer:
72
Step-by-step explanation:
What percent is 45 out of 72?
Answer:
62.5%
Step-by-step explanation:
Answer:
62.5%
Step-by-step explanation:
Is means equals and out of means divide
Let P be the percent
P = 45 / 72
P =.625
Change to percent form by multiplying by 100
P = 62.5%
Aretha is driving her car 325 miles to get to her vacation home. She travels the first 195 miles in 3 hours. At this rate, how long will it take her to make the complete trip
Answer:
For this case we know that the total distance to travel is 325 mi. And we know that Aretha travels at the following velocity:
[tex] V = \frac{X}{t} = \frac{195 mi}{3 hr}= 65 \frac{mi}{hr}[/tex]
Then we can use the following definition:
[tex] D = Vt[/tex]
Where D is the distance and V the velocity. And solving for t we got:
[tex] t = \frac{D}{V}[/tex]
And replacing we got:
[tex] t = \frac{325 mi}{65 \frac{mi}{hr}}= 5[/tex]
So then we can conclude that after 5 hours at this rate Aretha will arrive to home
Step-by-step explanation:
For this case we know that the total distance to travel is 325 mi. And we know that Aretha travels at the following velocity:
[tex] V = \frac{X}{t} = \frac{195 mi}{3 hr}= 65 \frac{mi}{hr}[/tex]
Then we can use the following definition:
[tex] D = Vt[/tex]
Where D is the distance and V the velocity. And solving for t we got:
[tex] t = \frac{D}{V}[/tex]
And replacing we got:
[tex] t = \frac{325 mi}{65 \frac{mi}{hr}}= 5[/tex]
So then we can conclude that after 5 hours at this rate Aretha will arrive to home
Answer: 5 hours
Step-by-step explanation:
An easy way to find the answer is to make an equation.
[tex]\frac{195}{3} =\frac{325}{x}[/tex]
Make a diagonal oval with the two known numbers. So for this equation, it is 325×3. After multiplying, you will get a product of 975. Then divide this by the 3rd known number, which in our case is 195. 975÷195=5.
I hope you learned from this and don't hesitate to ask if you have any questions.
set f(y)=x and solve for y
Answer:
f = 1
y = 0
Solved for y
Step-by-step explanation:
Step 1 :
Pulling out like terms/ factors.
Step 2 :
Theory - Roots of a product .
Step 3 solving a Single Variable Equation.
Answers:
f = 1
y = 0
Hope this helps.
what is 64 (y7)7 2y3 mark branliest if right
Answer:
65
Step-by-step explanation:
hope this helps
Answer:
32256y^4
Step-by-step explanation:
x + 18 greater than or equals 26
Answer:
x + 18 ≥ 26
Step-by-step explanation:
"greater than or equals": ≥
x + 18 ≥ 26 is your answer.
If you are trying to solve it so you isolate x, subtract 18 from both sides:
x + 18 (-18) ≥ 26 (-18)
x ≥ 26 - 18
x ≥ 8
x ≥ 8 is your answer.
~
Answer:
x+18 ≥ 26
Step-by-step explanation:
≤ is the less than or equals sign
≥ is the greater than or equals sign
x+18 ≥ 26
(This also means x must be ≥ 8)
A hair stylist charges $25.00 for a hair cut, plus an 8% sales tax rate. How much change will you receive is you pay $30.00
Answer:
You will get $3 back
mark me as brainliest pls
Step-by-step explanation:
$25 times 8%= 2
25+2=27
30-27=3
Answer:
$3
Step-by-step explanation:
25*.08=2
25+2=27
30-27=3
Which property of equality could be used to solve -3x = 348? A. addition property B. subtraction property C. division property D. multiplication property
Answer:
B:subtraction property
Step-by-step explanation:
1. Express as a unit rate
a) Serena walks 4 km in 1 h.
Answer:
Step-by-step explanation:
Serena walks 4 km in 1 h.
That means:
1) She walks 4 km per hour.
2) She spends 1/4 = 0.25 hour per mile.
Have a good day.
We can write this as:
4 kilometers/1 hour
The unit rate is already simplified so there is nothing else to do.
Answer: 4km/1hr
Best of Luck!
The number of customers rose from 118 on monday to 205 on tuesday. What is the percent increase to the nearest tenth of a percent
Answer:8
Step-by-step explanation:$4
hey can anyone help me in dis!!!!!!!!!!!!!!!!!!!
Answer:
1. blue
2. blue because I measured both lines with a ruler.
3. this one was harder to decide because when I look at the picture both lines look the same length but since I measured both lines with a ruler I realized that the blue line was longer that the red line.
Step-by-step explanation:
I actually measured both lines with a ruler and the blue line is just barely bigger that the red line
Round to nearest hundreth
Answer: The answer is 33.69!
Step-by-step explanation: When performing trigonometric problems it is important to pay attention to all of your sides even when you are finding a missing angle. The sides will show you which of the sides to divide over the other, and which equations to perform. In this case the number 6 is opposite of the missing angle and the number 9 is the adjacent or “right next to.” Hence, you are left with the Opposite side and the adjacent since the Hypotenuse is unused in this problem due to it being unlabeled. So 6 divided by 9 times the opposite of tangent which is Tan^-1 or on a basic calculator you would do the division first and then press the second key or secondary operations key. Then there will be a number in which shows you the exact angle in which you were missing.
Also learning the terms “SOH” “CAH” and “TOA” will help you exponentially when trying to find the equations to use. SOH: also known as Sine - is opposite over hypotenuse due to its alphabetical placement. Along with Cosine - adjacent over hypotenuse and Tangent which was the case of this triangle - opposite over adjacent.
Zachary and Heather are measuring the growth of a plant for a science experiment. They stopped recording the growth after week 6. Which of the following could be a reasonable estimate for the value of the plant height at week 10?
35 inches
47 inches
50 inches
43 inches
will mark brainliest
Answer:
43, it raises by 4 each time. good luck!
Step-by-step explanation:
in a certain algebra class of 26 students, 16 of them play basketball and 9 of them play baseball. there are 5 students who play both sports. what is the probability that a student chosen randomly plays basketball or baseball
Answer:
3/26 students or 11%
Step-by-step explanation:
Answer:
8/9
Step-by-step explanation:
24/27 = 8/9
If a taxi ride is m miles, which expression can be used to find the total charge of the ride
Answer:
d. 0.85m + 2.50
Step-by-step explanation:
In the figure attached, the complete question is shown.
We can see in the table that $2.50 is a fixed charge, that is, it is not modified by any variable. On the other hand, for each travelled mile, the cost of the travel increases $0.85 ($0.75 by mileage charge + $0.1 by city gas tax). Then, if m miles are travelled, the cost of the travel increases 0.85*m
easy geometric shapes question #6 help please!
Answer:
it will gemetry and get 15
Can anyone help me fix the mistakes i made? I will give you brainiest if you do and the teacher tells me its correct.
Answers:
#1: infinite solutions; #2: no solutions
Step-by-step explanations:
Steps for #1
3(2x+7)=13+4(x+2)+2x
6x+21=13+4x+8+2x
6x+21=21+6x
6x=6x
x=x
After completing the steps to find the value of x using Order of Operations, we see that in the end, the answer we have is x=x. We can easily conclude that x is equal to any number because the final answer in this exercise is always whatever the value of x is. For example, if x=4, our final answer would be 4.
Steps for #2
5(6x+8)=9x-10+21x
30x+40=30x-10
40=-10
Here, we see that once we've completed the steps using the Order of Operations, we come out with the answer 40=-10, which is not true on any terms. Therefore we can simply conclude that the answer for #2 is "no solutions."
If you have any trouble figuring out how I got my answers, please refer back to the steps I used to get the answers.
Thank you!
What is the measure of STR
Answer:
Str (Texture aspect ratio) Str is a measure of uniformity of the surface texture
Step-by-step explanation:
You revived 1/4 pound of candy from your grandmother, 1/2 pound of candy from your sister, and 1/8 pound of candy from your best friend. How many pounds of candy did you receive?
Answer:
⅞ pound
Step-by-step explanation:
You received 1/4 pound of candy from your grandmother.
You received 1/2 pound of candy from your sister.
You received 1/8 pound of candy from your best friend.
The total amount of candy you received is given as the sum of all the candy that he received from your grandmother sister and best friend.
The total amount of candy is therefore:
¼ + ½ + ⅛ = ⅞ pound
You received ⅞ pound of candy in total.
1. The speed of a motorcycle increases from 10 km/hr to 50 km/hr in 9
seconds. What is its acceleration?*
Answer:
The acceleration is 4.4 km/sec/sec
Step-by-step explanation:
Acceleration of motorcycle is 4.44 km/sec²
Given that;Starting velocity = 10 km/hr
Final velocity = 50 km/hr
Time taken = 9 second
Find:Acceleration of motorcycle
Computation:Acceleration of motorcycle = [Final velocity - Initial velocity] / Time taken
Acceleration of motorcycle = [50 - 10] / 9
Acceleration of motorcycle = [40] / 9
Acceleration of motorcycle = 4.44 km/sec²
Learn more:https://brainly.com/question/12550364?referrer=searchResults
