(a) [tex]\frac{26}{51}[/tex]
(b) [tex]\frac{26}{51}[/tex]
Step-by-step explanation:(i) Probability is the likelihood of whether or not an event will occur. It is given by the ratio of the number of favourable outcomes to the number of expected outcomes. i.e
P = number of favourable outcomes / total number of possible outcomes
For drawing a first card which is black,
number of favourable outcomes = 26 (since there are a total of 26 black cards in a deck of card)
total number of possible outcomes = 52 (since the total number of cards in a deck of card is 52)
∴ Probability of drawing the first black card = 26 / 52 = 1 / 13
Since the second card is not a black card, it is a red card.
number of favourable outcomes = 26 (since there are a total of 26 red cards in a deck of card)
total number of possible outcomes = 51 (since a black card has been previously picked from the deck)
∴ Probability of drawing a second black card = 26 / 51
The probability that the second is not a black card is 26 / 51
(ii) The conditional probability of a given event B is the probability that the event will occur knowing that a previous event A has already occurred,
It is given by;
P(B|A) = P(A and B) ÷ P(A)
In this case;
event B is drawing a second card which is not black
event A is drawing a first card which is black
This implies that;
P(A and B) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex]
P(A) = [tex]\frac{1}{13}[/tex]
Substitute these values in the equation for conditional probability as follows;
P(B|A) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex] ÷ [tex]\frac{1}{13}[/tex]
P(B|A) = [tex]\frac{1}{13}[/tex] x [tex]\frac{26}{51}[/tex] x [tex]\frac{13}{1}[/tex]
P(B|A) = [tex]\frac{26}{51}[/tex]
Therefore the conditional probability is [tex]\frac{26}{51}[/tex]
Leia needs to make at least 40 necklaces to sell at a craft show. So far, she has made 7. Which inequality shows the
number of necklaces, n, that she still needs to make?
A). n - 7 less than or equal to 40
B) n - 7 greater than or equal to 40
C). n + 7 less than or equal to 40
D). n + 7 greater than or equal to 40
Answer:
The answer is D
Hope this helps!
Brainliest??
Answer:
D
Step-by-step explanation:
the answer is D because if she already made 7 she need to add n to 7 to get 40 or greater
The regional transit authority for major metropolitan area wants to determine whether this relationship between the age of a bus and the annual maintenance cost. A sample of 10 buses resulted in the data located in the attached file above. Answer the following questions: Create a scatter chart using the data from the provided Excel file above. What does the scatter chart indicate about the relationship between age of a bus and annual maintenance cost
Answer Answer:
The scatter plot indicates that a positive linear relationship exists between the age of a car and its maintenance cost. This is depicted by the positive slope direction which indicates the maintainance cost of the car is will increase as the age of the car increases. If the correlation Coefficient of the data was calculated, a correlation Coefficient value of about 0.934 will be obtained.
Step-by-step explanation:
Check answer
Solve for x. Round to the nearest tenth, if necessary.
P.
х
50°
Q
R
4.2
Answer:
5.0 =x
Step-by-step explanation:
Since this is a right triangle
tan theta = opp side/ adjacent side
tan 50 = x / 4.2
4.2 tan 50 = x
5.005365089 =x
Rounding to the nearest tent
5.0 =x
at what rate percent of interest per annum will #700 gain an interest of #84 in 3 years
Answer:
4% per annum
Step-by-step explanation:
Recall :
Simple interest = principal * rate * time
Given that :
Time = 3 ; simple interest = 84 ; principal = 700
84 = 700 * rate * 3
84 = 2100 * rate
Rate = 84 /2100
= 0.04
= 0.04 * 100% = 4% per annum
Researchers from a large community college in California are interested in understanding the demographics of students enrolled in their online classes. The researchers collected the following data for the 2014/2015 school year.
Male Female Total
Online Only 2,000 7,000 9,000
Online and in the class only 8,000 1,000 9,000
Total 10,000 8,000 18,000
What does the data suggest about the relationship between sex and enrollment?
a. Females are more likely to enroll in Online Only courses than males.
b. Females are more likely to enroll in Online and In Class courses than males
c. There are more females enrolled at the community college than males.
d. Females are equally likely as males to enroll in an Online Only course.
Answer:
a. Females are more likely to enroll in Online Only courses than males.
Step-by-step explanation:
From the data, we have that:
There are 9,000 students that are online only, of which 2,000 are male and 7,000 are female.
There are 9,000 students that are Online and in the class only, of which 8,000 are male and 1,000 are female.
In total, there are 18,000 students, of which 10,000 are male and 8,000 are female.
a. Females are more likely to enroll in Online Only courses than males.
True, 7,000 females compared to 2,000 males in online only courses. This option is the answer to this question.
b. Females are more likely to enroll in Online and In Class courses than males
False, in online and in the class courses, there are 8,000 males and 1,000 females, so females are less likely.
c. There are more females enrolled at the community college than males.
False, there are 10,000 males and 8,000 females.
d. Females are equally likely as males to enroll in an Online Only course.
False, there are 7,000 females compared to 2,000 males in online only courses, so they are more likely, and not equally likely.
1800=3×N
help asap plzzz
One of the major objectives of the 'Reduce, Reuse, Recycle campaign is to reduce the consumption of plastics. In
addition to reducing their volume in landfills and as a source of marine pollution, what is another major advantage
reduced manufacturing of plastics?
A)
reducing the use of petroleum
reducing the consumption of water
C)
generating more demand for glass containers
D)
more income for producers of reusable containers
the answer is the letter A
What is perimeter of 300 315 55
Please help!!!! I need this to pass my classs
Answer:
a. Maximum
b. (-1, 4)
c. -3, 1
d. x = -1
Step-by-step explanation:
a. There is a maximum value of the function (highest point) because the parabola opens downward.
b. The vertex is the turning point--the point where the maximum is.
c. The roots (or "zeros") are the values of x where the curve intersects the x-axis
d. The axis of symmetry is a vertical line which passes through the vertex.
Plz help me well mark brainliest if correct!!..
Answer: A/The LINE graph
Step-by-step explanation:
Complete all the problems.
1.
X - 6 = -24
Solve for x.
Answer:
x= -18
Step-by-step explanation:
x= -24 + 6
Add -24 and 6.
x= -18
Answer:
X = -18
Step-by-step explanation:
You want to isolate X by itself. To isolate X on one side of the = sign, use the addition property of equality (to undo the subtraction of 6 from x) by adding 6 to both sides of the equation. We use the addition property of equality because this is the inverse operation. It is important to add 6 to both sides of to maintain an equivalent equation.
1. Set up your equation
X - 6 = -24
+6 +6
2. Solve out
X - 6 = -24
+6 +6
X = -18
Answer: -18
I NEEED HELPPPPPPPPP!!!!!
What do the value of
(5 1/3)^3
Answer:
[tex] \frac{4096}{27} [/tex] or [tex]151 \frac{19}{27} [/tex]Step-by-step explanation:
[tex](5 \frac{1}{3} {)}^{3} [/tex][tex](5 + \frac{1}{3} {)}^{3} [/tex][tex]( \frac{16}{3} {)}^{3} [/tex][tex] \frac{ {16}^{3} }{ {3}^{3} } [/tex][tex] \frac{4096}{27} [/tex][tex]151 \frac{19}{27} [/tex]Hope it is helpful....The figure shows a plane slicing through a cone. The plane is neither parallel nor perpendicular to the base of the cone, and the plane does not intersect the base of the cone.
==================================================
Explanation:
Imagine that this plane was a saw blade, or a laser, that cut the cone. We would have two pieces and each piece would have a shape of an ellipse on them. The cutting plane would also have the same ellipse shape.
Or you think of the cutting plane as a flat piece of cloth. If we cut everything around the cone, then we would have an ellipse shaped hole as a result.
The reason why we get an ellipse and not a circle is because the plane is angled like that. It needs to be perfectly parallel to the circular base in order to get a circular cross section.
What times 4 gives me 1/5
Answer:
0.05
Step-by-step explanation:
Because 1/5 divided by 4 gives you 0.05 or 1/20
Is 3.24538 rational
Answer:
yes
Step-by-step explanation:
3.24538 is rational
Find the value of x and y
Answer:
x = 30, y = 15
Step-by-step explanation:
x = 2*15 = 30
(Central angle is twice the inscribed angle standing on the same arc.)
Similarly,
y = 15
(Base angles of isosceles triangle are equal)
Pleaseee answer thisss!!
76+2x=180
180-76=2x
104=2x
X=52
Answer:
x=52
Step-by-step explanation:
360=76+90+90+2x
2x=360-256
x=104/2
x=52
Solve each problem. NO LINKS!!! PART 2.
9514 1404 393
Answer:
28. 480
29. 40,320
Step-by-step explanation:
28. The number of possible choices is the product of the numbers of choices for each component:
5×8×12 = 480 . . . . possible different systems
__
29. Regardless of where person A sits, the remaining B through I people can be seated in 8! = 40,320 different orders.
There are 40,320 possible seating arrangements.
Please help me with this please
9514 1404 393
Answer:
0
Step-by-step explanation:
The forces are equal and opposite, so the net force is zero.
5N -5N = 0
7
What is the distance from 33, 5) to (3 7.-1
Answer:
7.211
Step-by-step explanation:
I'm going to assume that's supposed to say (33, 5) to (37, -1)
Use the pythagorean theorem: a^2 + b^2 = c^2
"a" is going to be your difference in x values (37 - 33) = 4
"b" is going to be your difference in y values (5 - (-1)) = 6
4^2 + 6^2 = c^2
16 + 36 = c^2
52 = c^2
sqrt(52) = c
7.211 = c
PLEASE HELP! I WILL GIVE BRAINLIEST!?!
Express 75cm/s in m/s
Step-by-step explanation:
75 cm/s
75/100 m/s
0.75 m/s
(SINCE 100 CM =1M-------75 CM=75/100M)
What is the volume of the rectangular prism?
Answer:
54 in³
Step-by-step explanation:
9×3×2 = 54 in³
_______
A baker makes 12 dozen
cookies, 18 dozen muffins, and
22 dozen scones every day.
How many baked goods does
she make in all every day?
Answer:
624
Step-by-step explanation:
12+18+22=52 52×12=624
Answer:
624
Step-by-step explanation:
12x12= 144 cookies
18x12= 216 muffins
22x12= 264 scones
144+216+264= 624
Five classmates want to know how many of the 2688 students in their school prefer pop music. They each randomly survey 64 students. The table shows the results.
Use the results from each classmate to make an inference about the number of students in the school who prefer pop music.
Based on Shannon's results, the number is __
students.
Based on Trey's results, the number is __
students.
Based on Robert's results, the number is __
students.
Based on Callie's results, the number is __
students.
Based on Lani's results, the number is __
students.
Question 2
Describe the variation of the five inferences. Which one would you use to describe the number of students at the school who prefer pop music? Explain.
The greatest is __
students. The least is __
students. The median of the data is __
. The mode of the data is __
. So, use the inference of __
students to describe the number of students at the school who prefer pop music.
Answer:
Question 1
Shannon: 882/2688
Trey: 1008/2688
Robert: 798/2688
Callie: 882/2688
Lani: 840/2688
Question 2
The greatest is 1008/2688 students.
The least is 798/2688 students.
The median of the data is 882/2688 students.
The mode of the data is 882/2688 students.
So, use the inference of 882/2688 students to describe the number of students at the school who prefer pop music.
Step-by-step explanation
Question 1
Shannon: Because 21/64 in Shannon's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 21 gets us 882/2688 who might prefer pop music in the entire school without surveying all of the students.
Trey: Because 24/64 in Trey's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 24 gets us 1008/2688 who might prefer pop music in the entire school without surveying all of the students.
Robert: Because 19/64 in Robert's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 19 gets us 798/2688 who might prefer pop music in the entire school without surveying all of the students.
Callie: Because 21/64 in Callie's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 21 gets us 882/2688 who might prefer pop music in the entire school without surveying all of the students.
Lani: Because 20/64 in Lani's survey stated they preferred pop music, we can apply it to the entire school of 2688 students. 2688 divided by 64, then multiplied by 20 gets us 840/2688 who might prefer pop music in the entire school without surveying all of the students.
Question 2
Using Shannon's or Callie's survey would best describe the number of students in the entire school because their individual results (21/64) is the average of all of the individual results of the 5 students. If you decide to use any of the other individual survey results, you will not get the closest answer to the actual amount of students who prefer pop music in the entire school.
Using the individual survey results to estimate the number of students who prefer pop music in the entire school:
The greatest was Trey's results, which estimated about 1008 out of 2688 students in the entire school who would prefer pop music.
The least was Robert's results, which estimated about 798 out of 2688 students in the entire school who would prefer pop music.
The median of the data was 882 out of 2688 students in the entire school who would prefer pop music, as shown in Shannon's and Callie's individual survey results.
To find the median, list the results least to greatest, then look at the number that is in the exact middle. If there is no middle, but instead two middle numbers, find the average of the two.
The mode of the data was Shannon's or Callie's results, which estimated about 882 out of 2688 students in the entire school who would prefer pop music.
To find the mode, look for the number or result that it repeated the most (Ex: the result of 21/64 students who preferred pop music was found twice compared to the other individual survey results which did not repeat more than once).
So, in the end using Shannon's or Callie's individual survey results to estimate the amount of students in the entire school who prefer pop music is the best way to do so.
Please comment if you think I made a mistake, misunderstood, or missed something.
HELP TIMED----AND NO BOTS WITH /BIT
A segment which goes through two points of a circle is a …
Arc
Chord
Diagonal
Radius
Secant
Solve the quadratic equation graphically using at least two different approaches. When necessary, give your solutions to the nearest hundredth.
x squared + 12 x + 11 = 0
a.
x = -11 or x = -1
c.
x = 10 or x = -3
b.
x = 1 or x = 6
d.
x =0 or x = -6
Please select the best answer from the choices provided
A
B
C
D
Answer:
answer a
a.
x = -11 or x = -1
10 points! If correct you get brainliest.
Which one's apply?
Answer:
The answer is C and E
Step-by-step explanation:
PLZ HELP Which of the following is a true statement?
A. Total Liabilities − Total Assets = Net Worth
B. Total Assets − Total Liabilities = Net Worth
C. Total Assets + Total Liabilities = Net Worth
D. None of these are true.
Answer:
B
Step-by-step explanation: Net worth is the total assets minus total liabilities of an individual or entity.