Answers
Answer:
9. (a) 1/4
(b) remove 3 alphabet cards
(c) add 4 number cards
10. 1/8
Step-by-step explanation:
Question 9
Given:
8 number cards10 alphabet cards6 picture cards⇒ total number of cards = 8 + 10 + 6 = 24 cards
[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]
(a) P(picture card) = 6/24 = 1/4
(b) P(alphabet card) = 10/24 = 5/12
If we remove 3 alphabet cards from the box
⇒ number of alphabet cards = 10 - 3 = 7
⇒ total number of cards = 24 - 3 = 21
Therefore, P(alphabet card) = 7/21 = 1/3
(c) P(number card) = 8/24 = 1/3
If we add 4 number cards to the box:
⇒ number of number cards = 8 + 4 = 12
⇒ total number of cards = 24 + 4 = 28
Therefore, P(number card) = 12/28 = 3/7
--------------------------------------------------------------------
Question 10
Given:
ΔSDR = ΔPRQLeg length of ΔSDR and ΔPRQ = 4 cm⇒ area of ΔSDR = area of ΔPRQ = 1/2 × 4 × 4 = 8 cm²
As PR = SD = 4cm
Area of rectangle = (4 + 4) × (12 + 4) = 128 cm²
P(point lies in ΔSDR) = 8/128 = 1/16
P(point lies in ΔPRQ) = 8/128 = 1/16
P(point lies in ΔSDR) OR P(point lies in ΔPRQ) = 1/16 + 1/16 = 2/16 = 1/8
Related Questions
Find+the+z-scores+that+separate+the+middle+69%+of+the+distribution+from+the+area+in+the+tails+of+the+standard+normal+distribution
Answers
Answer and Explanation:
1 - 0.69/ 2 = 0.155
0.155 = -1.02
(-1.02, 1.02) = z
The z -score separates the middle 69% of the distribution from the area in the tails of the standard normal distribution is (-1.02, 1.02).
What is a z- score?Z- score refers to how much a given value differs from the standard deviation.
The z -score separates the middle 69% of the distribution from the area in the tails of the standard normal distribution.
α = 1 - 0.69/ 2
α = 0.155
0.155 = -1.02
z = (-1.02, 1.02)
Learn more about standard deviation:
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Which expression is equivalent to 113−−−√5?
Answers
Answer:
_
113 -✓5
Step-by-step explanation:
_
113-(-(-✓5))
_
=113-✓5 (decimal:110.763932)
The nutrition supervisor for a school district is considering adding a baked potato bar to the lunch for all the high school cafeterias. He wants to determine if there is a difference in the proportion of students who would purchase from the potato bar for two high schools, East and West. The cafeteria manager at each high school randomly surveys 90 students. At East High School, 63 of the students said they would purchase the potato bar on that day.
At West High School, 45 students said they would. Based on the 99% confidence interval, (0.02, 0.38), is there convincing evidence of a difference in the proportions of students who would purchase from the potato bar between East and West High Schools?
O There is convincing evidence because the entire interval is above 0.
O There is convincing evidence because the sample proportions are different at each high school.
O There is not convincing evidence because another interval using a lower level of confidence might contain 0.
O There is not convincing evidence because the entire student body should have been asked.
Answers
Using the confidence interval, it is found that the correct option is:
There is convincing evidence because the entire interval is above 0.
When does a confidence interval for the difference of proportions gives convincing evidence that there is a difference?It gives convincing evidence when 0 is not part of the confidence interval.
In this problem, the interval is (0.02, 0.38), which does not contain 0, hence the correct option is:
There is convincing evidence because the entire interval is above 0.
More can be learned about confidence intervals at https://brainly.com/question/25890103
Answer:
There is convincing evidence because the entire interval is above 0.
Step-by-step explanation: EDGE 2022
You are paid $1380 for working 80 hours in two weeks at your full-time job. At this rate of pay, how much would you be paid if ypu worked 100 hours in a month
Answers
Answer:
To answer this, we have to do the equation below:
[tex]1,380/80[/tex]
When we do this, we come up with the answer of 17.25
Now we know that we get paid $17.25 an hour.
Now, we must do the equation below:
[tex]100 X 17.25[/tex]
When we multiply, we get the answer of 1,725
So, we get paid $1,725 if we work for 100 hours.
Step-by-step explanation:
Hope this helps!
PLEASE MARK ME AS BRAINLIEST I REALLY WANT TO LEVEL UP
Find the value of x for which allb
A. 35
B. 145
C. 140
D. 47
Answers
Answer:
A. 35
Step-by-step explanation:
a || b .....(given)
line c is their transversal.
-> x° + (3x + 40)° = 180° (Interior angles on the same side of transversal)
-> (3x + 40 + x)° = 180°
-> (4x + 40)° = 180°
-> 4x + 40 = 180
-> 4x = 180 - 40
-> 4x = 140
-> x = 140/4
-> x = 35
I dont understand what this is really telling me. can someone explain?
Answers
Answer:
B
Step-by-step explanation:
It's where the line goes over the x line
Answer:
B,
Step-by-step explanation:
The zeros are the x values where the graph crosses the horizontal x-axis.
These are at x = 0 and x = 5.
Find the area of triangle
Answers
So we see one large triangle, that can be split into two triangles split by the thin dotted line:
the First triangle --> has a hypotenuse of 26 and a leg of 11the Second triangle --> has a hypotenuse of 42Let us find the other leg of the First triangle which also happens to be the height of the larger triangle, using the Pythagorean theorem
[tex]a^2+b^2=c^2\\a^2 + 11^2 = 26^2\\a^2 = 26^2-11^2=555\\a=23.56[/tex]
Thus the height of the entire triangle is 23.56 which also happens to be one of the legs of the Second triangle
[tex]a^2+b^2=c^2\\a^2+(23.56)^2=42^2\\a^2 = 1764-555=1209\\a = 34.77[/tex]
Having found the other leg of the Second Triangle, we can find the base of the larger triangle is:
--> 34.77 + 11 = 45.77
The height as found in the first initial step is 23.56 thus the area is
Area = [tex]\frac{1}{2}*b*h=\frac{1}{2}*23.56*45.77=539.17[/tex]
Hope that helps!
Eric runs a coffee shop and bought 5,480 cups at the beginning of the week. At the end of the week, he had 20% of the cups left. How many cups does Eric have left?
Answers
Answer: 1,096 cups
Step-by-step explanation:
Answer: 1096 cups left.
Step-by-step explanation: 20% of 5,480 is 1096. This is accurate because 20% is one-fifth of 100%. In this case, 5,480 is our 100%. When you divide 5,480 by 5, you get the answer 1,096, which is 20% of the 5,480 cups that Eric started with.
Have a great day! :)
How do you write a decimal for 30 divided by 8
Answers
Answer:
3.75?
Step-by-step explanation:
I dont know if this is what youre looking for but I guess?
Matt says that 5- 1 1/4 with be more than 4, since 5 - 1 is 4
Answers
Answer:
Step-by-step explanation:
He is incorrect.
We are not only subtracting 1 from 5 but 1/4 also, so the result has to be less than 4.
5 - 1 1/4
= 5 - 1 -1/4
= 3 3/4.
The admission fee at a small fair is $1. 50 for children and $4. 00 for adults. on a certain day, 2200 people enter the fair and $5050 is collected. how many children and adults attended?
Answers
(I don't really know how to explain it though.)
Sue is touring San Francisco with her family. They want to visit the Golden Gate Bridge, Alcatraz, and Chinatown before their dinner reservations at 7:30 P.M. They want to spend 45 minutes at the Golden Gate Bridge, 2 hours and 30 minutes on the tour of Alcatraz, and 1 hour and 15 minutes in Chinatown. What is the latest time Sue's family can start their tour of San Francisco and still make it to dinner on time?
please help n explain ily
Answers
Answer:
3pm
Step-by-step explanation:
so for this you want to work backwards, starting at 7:30pm because that's when they have dinner.
how i would solve this is I would add up all the amount of time they want to tour around San francisco
so 45 + 1hr15mins = 2hrs
2hrs +2hrs30mins= 4hrs30mins
so starting at 7:30 take away 4hrs 30mins
7:30 - 4hrs = 3:30pm
3:30 - 30 minutes = 3pm
They must start their tour at 3pm.
hope that helps :)
Answer:
The latest time Sue's family can start their tour but still make it home for dinner would be:
3:00 p.m
Step-by-step explanation:
Starting at 7:30pm because that's when they have dinner:
45min. + 1hr & 15mins = 2hours
2hours + 2hours & 30mins= 4hours & 30mins
Starting at 7:30 take away 4hrs 30mins:
7:30p.m - 4hrs = 3:30p.m
3:30 - 30 minutes = 3:00p.m
In conclusion, they must start their tour at 3:00 p.m to be able to reach dinner by 7:30 p.m (which is the latest time).
Have a great rest of your day
#TheWizzer
What is the solution to the system of equations?
y=2/3x+3
y = -2
Answers
Answer:
and
Step-by-step explanation:
we have
-----> equation A
------> equation B
we know that
The solution of the system of equations is equal to the intersection point of both graphs
Using a graphing tool
see the attached figure
There are two intersection points
Therefore
The system of equations has two solutions
The solutions of the system of equations are the points and
Help...........................
Answers
It has a ratio of 1:4, meaning for every x, you'd get 4 from your y
Whoever gets it right get s brainlest This figure shows the dimensions of a right triangular prism.
What is the volume of the right triangular prism in cubic meters?
16 m3
24 m3
48 m3
144 m3
Answers
Answer:
48
Step-by-step explanation:
8x3x2= 48
Answer:
its 48
Step-by-step explanation:
8x3x2= 48
What measures are taken to discourage car owners, who must wait for the passengers, to use the drop and go parking
Answers
Answer:
Short-term parking is generally used by drivers who will be in the airport for less than four hours. On-site long-term parking allows travelers to park their cars for the duration of their trip. Off-site long-term parking offers discounted parking space for travelers wishing to park for the duration of their trip.
At a conference for 500 people, 10% of the participants are french, 35% are americans, 20% are germans, and are of other nationalities. how many french participants are at the conference? 10 20 40 50
Answers
A percentage is a way to describe a part of a whole. The number of French people at the conference is 50.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
As it is given that the total number of people in the conference is 500, while 10% of the participants are french. Therefore, the number of people who are French at the conference can be written as,
Number of French People = 10% of the number of people in the conference
[tex]\text{Number of French People} = \dfrac{10}{100} \times 500 = 50[/tex]
Hence, the number of French people at the conference is 50.
Learn more about Percentages:
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Whose procedure is correct? keisha’s procedure is correct. david’s procedure is correct. both procedures are correct. neither procedure is correct.
Answers
Both procedures are correct. Because the end answer and the step-by-step explanation are right.
What is the procedure?It is a step-by-step explanation of the equations. The procedure is important
It explains the sequence of actions and specifies what has to be done at each stage, frequently specifying when and by whom the procedure should be conducted.
The end answer for Keisha's solution is;
[tex]\rm cos \theta =[/tex]± [tex]\frac{15}{17}[/tex]
The end answer for David's solution is;
[tex]\rm cos \theta =[/tex]± [tex]\frac{15}{17}[/tex]
Hence both procedures are correct. Because the end answer and the step-by-step explanation are right.
To learn more about the procedure refer to the link;
https://brainly.com/question/14553685
Answer:
C: Both procedures are correct
Step-by-step explanation:
on edge :)
The probability density function of the time to failure of an electronic component in a copier (in hours) is f(x) e^-x/1074 /1074
Answers
The probability density function of the time to failure of an electronic component in a copier (in hours) is [tex]\rm P(a < x < b) =e^\frac{-b}{1074}-e^\frac{-a}{1074}[/tex].
What is the probability density function?Probability Density Function is a function defining the probability of an outcome for a discrete random variable and is mathematically defined as the derivative of the distribution function.
The given function is;
[tex]\rm =\dfrac{ e^\frac{-x}{1074}}{1074}[/tex]
The probability density function of the time to failure of an electronic component in a copier (in hours) is given by;
[tex]\rm P(a < x < b) =\int\limits^a_b {p(x)} \, dx[/tex]
For the electronic component, the probability will be:
[tex]\rm P(a < x < b) =\int\limits^a_b {\rm \dfrac{ e^\frac{-x}{1074}}{1074}} \, dx\\\\ P(a < x < b) =\int\limits^a_b {\rm \dfrac{1074}{1074} e^\frac{-x}{1074}}} \, dx\\\\P(a < x < b) =e^\frac{-b}{1074}-e^\frac{-a}{1074}[/tex]
Hence, the probability density function of the time to failure of an electronic component in a copier (in hours) is [tex]\rm P(a < x < b) =e^\frac{-b}{1074}-e^\frac{-a}{1074}[/tex].
Learn more about probability here;
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HELPP PLSSS!!!
Find the volume of the following objects.
Answers
Answer:
1. 314.159
2. 3,801.327
3. 1,407.433
Which expression is equivalent to (o)(5)?
Of(5) g(5)
Of(5) + g(5)
O5f(5)
05g(5)
Answers
The airplane flew 4,848 miles in 8 hours. How many miles per hour did it fly?
Answers
Answer:
606 MPH
Step-by-step explanation:
4848/8=606
Answer:
606 mph
Step-by-step explanation:
i did 4848 divided by 8
Candice has already taken 5 pictures at home, and she expects to take 1 picture during every day of vacation. How many days will Candice have to spend on vacation before she will have taken 7 pictures?
Answers
Answer:
2 days.
Step-by-step explanation:
Candice has already taken 5 pictures total, so if she needs to have seven in total she will only have to go on vacation for two days.
X 2.6.PS-14
Question Help
0
Marcia drew a plan for a rectangular piece of material that she will use for a blanket. Three of the
vertices are (-2.8, -1.7), (-2.8,3.7), and (2.8,3.7). What are the coordinates of the fourth vertex?
The coordinates of the fourth vertex are 1
(Type an ordered pair, using integers or decimals.)
Enter your answer in the answer box and then click Check Answer.
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Answers
Answer:
it should be (2.8,-1.7) hope it helps
Mrs culpepper’s and and mr Cochran s class recorded the number of books each student read in a week
Which of the following statements is true about the data sets?
Answers
The correct statement about the data set is the mean would be the best measure of central tendency for Mr Cochran's class because the data is symetrical.
What is a measure of central tendency?
A measure of central tendency attempts to describe a data set by determining the central value of the data set. Measures of central tendency are mean, median and mode.
Mean is the average of a data set. Median is the number at the center of the data set. Mode is the number that occurs most in the data set. A data set is negatively skewed if the mean is less than the mode. If the mean is equal to the mode, the data is symmetric.
Mean of Mrs culpepper’s class = (1 + 1 + 1 + 1 + 2 + 2 + 2 + 3 + 3 + 3) / 10 = 1.9
Mode of Mrs culpepper’s class = 1
Mean of mr Cochran's class = (1+ 1 + 2 + 3 + 3 + 3 + 3 + 4 + 9 + 9) / 10 = 3.8
Mode of mr Cochran s class = 3
To learn more about median, please check: https://brainly.com/question/20434777
What is the amount paid for an $150 pair of shoes after a discount of 30% is applied?
Answers
Answer:
105
Step-by-step explanation:
150-30%= 105
Have a wonderful day!
Answer:
The total is $105
Step-by-step explanation:
To get a percentage of a number first convert the percentage to a regular number with a decimal
30.0% would be 0.3 because you move the decimal two spots to the left
you then multiple your new number 0.3 with the original price to get 45
because it is a discount it means we will reduce the price or subtract from it
150 - 45 = 105
I hope this helps
A triangle has side lengths of 9 cm, 25 cm, and 33 cm. Classify it as acute, obtuse, or right.
Answers
Answer:
Obtuse.
Step-by-step explanation:
If sides are a b and c, with c the longest:
c^2 = a^2 + b^2 = Right triangle
c^2 < a^2 + b^2 = Acute ...
c^2 > a^2 + b^2 = Obtuse ...
33^2 = 1089
25^2 = 625
9^2 = 81
625 + 81 = 706
1089 > 706 so the triangle is obtuse.
Answer:
Obtuse scalene triangle
Step-by-step explanation:
Side 1: 9 cm
Side 2: 25 cm
Side 3: 33 cm
1. Find 9 squared, 25 squared, and 33 squared:
9 squared = 81
25 squared = 625
33 squared: 1089
Find sum of the squares of 2 smallest sides:
81 + 625 = 706
Longest Side Squared = 1089
706 < 1089
Hence, since 706 < 1089, aka sum of the squares of the smaller 2 sides < longest side squared - you have a obtuse scalene triangle
I used a triangle calculator, so yeah in advance you should probably just use one of those :)
Help!! This is i-ready!!! Will get brainiest!!!
Answers
Answer:
C is the answer
Step-by-step explanation:
people who usually volunteers really don't get represented
A construction crew has just built a new road. They built the road at a rate of 3 kilometers per week. They built 18.75 kilometers of road. How many weeks did
it take them?
Answers
Answer:
6.25 weeks
Step-by-step explanation:
Take 18.75 and divide it by 3, since the crew is finishing 3 km per week. You get 6.25, so it took the crew 6.25 weeks to finish the road.
Hopefully this helps- let me know if you have any questions!
Does anyone know how much does a Toyota AE86 car gets for monthly car payments??
not math-related sorry
Answers
Answer:
$464
Step-by-step explanation: