Answer:
a) One student from the class is chosen at random. What is the probability that the student has a sister?
S/£
b)One of the students who has a brother is chosen at random. What is the probability that this student has a sister?
BS/£²
Step-by-step explanation:
In the question, we are given the following values:
£ represents 29 students in class = Total number of students in the class.
B represents students who have a brother
S represents students who have a sister
The formula for probability = Number of events ÷ Number of possible outcomes.
a) One student from the class is chosen at random. What is the probability that the student has a sister?
Number of events = Number of students that have a sister = S
Number of possible outcomes = £ represents 29 students in class
The probability that the student has a sister = S/£
b)One of the students who has a brother is chosen at random. What is the probability that this student has a sister?
This is calculated as
The Probability of Students that have a brother and a sister = Probability of students that have a brother × Probability of student that have a sister.
Number of students that have a brother = B
Number of students that have a sister = S
The Probability of Students that have a brother and a sister = B/£ × S/£
= BS/£²
Answer:
a) 14/29
b) 4/11
Step-by-step explanation:
You forgot to add the Venn diagram
7+4+2x+X+3 =29
14 +3x= 29
3x = 15
X = 5
2*5=10
10+4=14
5+3=8
14/29
I hope this helps you :D
Have a good day
If a population has a mean of 128 and samples of size 50 from this population have a standard deviation in their sample means of 3.8, then which of the following sample mean would not be within the margin of error when sampling from this population?
A) 119.7
B) 122.8
C) 134.9
D) 135.2
Can u pls awnser the following :(
Answer:
25% is .25
75% is .75
20% is .2
100% is 1
37.5% is .375
62.5% is .625
87.5% is .875
12.5% is .125
Step-by-step explanation:
Remember DeeP
D. __. ____ P
Decimal. Percent
You move over two decimal places to the left if you want to convert 35%, which is .35.
You move over two decimal places to the right if you want to convert .45 which is 45%.
How many leaves on a tree diagram are needed to represent all possible
combinations tossing a coin 5 times?
A. 36
B. 16
C. 32
D. 10
Answer: C 32
Step-by-step explanation:
Answer:
C 32
Step-by-step explanation:
62,394 to the nearest hundred
Answer:
62400
Step-by-step explanation:
Lets ignore everything above 394 because those numbers are the only ones we are focusing on right now.
94 is not less than 50
94 is bigger than or equal to 50
Round up:
394 ---> 400
= 62,400
Answer:
62,400
Step-by-step explanation:
You would round 90 to the nearest hundred which is 400
{(0, 2), (3, 3), (8, 7), (2, 2), (3,9) }
What is the domain and range for each set of ordered pairs
Hey!!!
Here's your answer:
Domain:{(0,2,3,8)}Range:{(2,3,7,9)}Hope it will help u.
have a great day .....About how many times larger is 6.14 x 10-3 than 1.98 x 10-4?
Answer:
About 3.7 times or 4 times.
Step-by-step explanation:
6.14 x 10 - 3 = 61.4-3
61.4 - 3 = 58.4
1.98 x 10 - 4 = 19.8 - 4
19.8 - 4 = 15.8
58.4 ÷ 15.8 = 3.696202531645569620253164556962 ≈ 3.7 times
how many solutions does the equation have
y=2x^2+3x-10=0
Answer:it has two
Step-by-step explanation: x =(3-√89)/4=-1.608
x =(3+√89)/4= 3.108
A pair of shoes usually sells for $60. If the shoes are 40% off, and sales tax is 5%, what is the total price of the shoes, including tax?
Answer:
$39
Step-by-step explanation:
We can solve this by finding 40% of $60 and the tax which is 5% of $60. We'll get 36 and 3. Add these up and you have an answer.
Have a great day!
The area of a rectangle is given by A(x) = x2 + 5x with x being the height and x + 5 being the base. If the area is 14, what is the only viable solution for the height? Why are there not two solutions?
Answer:
See below.
Step-by-step explanation:
A(x) = x^2 + 5x
A(x) = x^2 + 5x = 14
x^2 + 5x - 14 = 0
(x + 7)(x - 2) = 0
x + 7 = 0 or x - 2 = 7
x = -7 or x = 2
x is the height of a rectangle.
The only viable solution is x = 2 because the height of a rectangle cannot be a negative number such as -7.
The only viable solution for the height is x= 2, because height cannot be a negative value.
What is Rectangle?A rectangle is a quadrilateral with four right angles.
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface.
What is Quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2} +bx+c=0[/tex]
Given,
Area of the rectangle = [tex]x^{2} +5x[/tex] = 14
Then,
[tex]x^{2} +5x-14=0\\(x+7)(x-2)=0[/tex]
Therefore x = -7 and 2
But the Height cannot be negative therefore x = 2
Hence, only viable solution for the height is x= 2, because height cannot be a negative value.
Learn more about Rectangle, Area and Quadratic equation here
https://brainly.com/question/12555839
#SPJ2
I need help ASAP, would really appreciate it, marking first as brainliest.
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Answer:
A and B
Step-by-step explanation:
The lines are both in slope intercept form:
y=Mx+b
Where m is the slope and b is the y intercept.
We have 2 lines:
y=1/3x+3
y=1/3x-2
1/3 is the coefficient of x, which means the slope is 1/3. Both of these lines have the same slope of 1/3. Since they both have the same slope, they are also parallel lines.
Therefore, A: the same slopes and B: parallel lines is correct.
In the photo, the red line is 1/3x+3 and the blue like is 1/3x-2
pls help me thanks :)
Answer:
2+2 is 4 quick math
Step-by-step explanation:
Gabriel started to calculate the area of the triangle. His work is shown. A = 1 2 bh = 1 2 ( 1 2 ) ( 3 4 ) A triangle has a base of three-fourths inch and a height of one-half inch.
Question:
Gabriel started to calculate the area of the triangle. His work is shown.
A = 1/2 bh=1/2 (1/2) (3/4)
A triangle has a base of three-fourths inch and a height of one-half inch
What is the area of the triangle?
The area of the triangle is ___in.²
Answer:
Area of the triangle = [tex] \frac{3}{16} inch^2 [/tex]
Step-by-step explanation:
We are given the dimensions of the triangle as:
Base, b = ¾ inch
Height, h= ½ inch
To find the area of the triangle, let's use the formula :
Area of a triangle = ½base *height
Solving further, we have:
Area of a triangle = [tex] \frac{1}{2}*\frac{3}{4} * \frac{1}{2} = \frac{3}{16} [/tex]
Area of the triangle = [tex] \frac{3}{16} inch^2 [/tex]
Someone help me pleaseeeee
Answer:
36°.
Step-by-step explanation:
To find this, we will simply need to know that the sum of the angles of a triangle is 180°. This means that in order to find the measure of the third angle, we will need to subtract the others from 180°.
180 - 99 - 45 = 36°.
The measure of the third angle is 36°.
Help me please help me thank you
Answer: 110, 35, 70, G, J, F, E, B, A, H, C, D, I
Step-by-step explanation:
8. For number 8, you will be using the exterior angle theorem. The exterior angle theorem states that the exterior angle equals the two angles inside the given triangle. Since we have 50 and 60, you will add 50 + 60 to get 110.
9. In this problem, you shall use the vertical angle theorem. The vertical angle theorem is simply that any angles vertical from one another are congruent. So a will be also 35 degrees.
10. This is an image depicting two lines cut by a transversal, creating multiple congruent angles. With this, you will be using the alternate interior angle theorem. Alternate interior angles are angles on different sides of the transversal but inside both of the lines that were cut into, as shown above. So, b will also equal 70 degrees.
Part B:
1. G
2. J
3. F
4. E
5. B
6. A
7. H
8. C
9. D
10. I
Which expression is equivalent to 64 − 9x2?
Answer:
it is just 64-18=48
Step-by-step explanation:
you have to just keep 64 the same and do the 9*2. And sum those outcomes.
A standard deck of playing cards has 13 cards in each of four suits: hearts, clubs, diamonds, and spades. Two cards are chosen from the deck at random. What is the probability of choosing one club and one spade?
Answer:
Probability of choosing one club and one spade = 0.6025
Step-by-step explanation:
Total number of cards= 52 cards
For the first event
Probability of choosing a club
Toatal club = 13 cards
Probability of choosing a club
= 13/52
Probability of choosing a club
= 1/4
Probability of choosing a club
=0.25
For the second event
Probability of choosing a spade
Toatal spade = 13 cards
Probability of choosing a spade
= 13/52
Probability of choosing spadep
= 1/4
Probability of choosing a spade = 0.25
Probability of both = 0.25*0.25
Probability of both = 0.6025
Answer:
D. 0.1275
Step-by-step explanation:
Justo took the Pre-Test on Edg (2020-2021)!!
Find the solution set.
x2 + 16x + 64 = 0
Answer:
(x+8)(x+8)
Step-by-step explanation:
Assuming x2 is x^2
(x+8)(x+8) = x^2 + 16x + 64
Continuation
The Zeros Would Be
x = -8
Secant TP and tangent TR intersect at point T Chord SR and chord PO intersect
at point V. Find the values of x and y. If necessary, round to the nearest tenth.
A
x=2
y=4
B. x= 11.6
y = 11.6
C.
X = 11.6
y = 232
D. x = 18.3
y=36.6
Answer:
(C)x=11.6, y=23.2
Step-by-step explanation:
Using Theorem of Intersecting Secant and Tangent
[tex]TQ$ X TP=TR^2[/tex]
[tex]10(10+x+4)=16^2\\10(14+x)=256\\140+10x=256\\10x=256-140\\10x=116\\$Divide both sides by 10\\x=11.6[/tex]
Next, we apply Theorem of Intersecting Chords
PV X VQ=SV X VR
4 X x= 2 X y
Recall: x=11.6
2y=4 X 11.6
2y=46.4
y=46.4/2=23.2
Therefore: x=11.6, y=23.2
The correct option is C
Given that the commuter used public transportation, find the probability that the commuter had a commute of 60 6060 or more minutes. P ( 60 + minutes ∣ public transportation ) = P(60+ minutes ∣ public transportation)=P, left parenthesis, 60, plus, start text, space, m, i, n, u, t, e, s, space, end text, vertical bar, start text, space, p, u, b, l, i, c, space, t, r, a, n, s, p, o, r, t, a, t, i, o, n, end text, right parenthesis, equals
Complete Question
The two-way table below gives the thousands of commuters in Massachusetts in 2015 by transportation method and one-way length of commute.
[tex]\left|\begin{array}{c|c|c|c|c|c|c}$Transport Mode/Minutes&$Less than 15&15-29&30-44& 45-59&$60 or more &$Total\\---&---&---&---&---&---&---\\$Private vehicle & 636&908&590&257&256&2647\\$Public Transportation&9&54&96&62&108&329 \\$Other&115&70&23&7&7&222\\---&---&---&---&---&---&---\\$Total&760&1032&709&326&371 &3198 \end{array}\right|[/tex]
Answer:
[tex]\dfrac{108}{329}[/tex]
Step-by-step explanation:
From the table above
Total Number of commuters who used public transportation=329
Number of commuters who spent 60 or more minutes on public transportation=108
Therefore:
Given that a commuter used public transportation, the probability that the commuter had a commute of 60 or more minutes:
P ( 60 + minutes ∣ public transportation ) = [tex]\dfrac{108}{329}[/tex]
Julie conducts an experiment to find the average word length in a book for a 4th grader and a book for a 8th grader. She finds that for the fourth grade book the mean word length is 5 letters with a range of 6 and for the 8th grade book the mean word length is 6 letters with a range of 9. Which statement is true?
A) On average, the book for the 4th grader has longer words.
B) There is not enough information to know if any of the above are true.
C) The word length varies more in the 8th grade book than the 4th grade book.
D) The longest word in the book for the 4th grader is longer than that in the 8th grade book.
Answer: C
Step-by-step explanation: I chose this answer because in 8th graders, their mean is 6 and their range is 9, that’s a difference of 3. But in 4th graders, their mean is 5 and their range is 6, so there isn’t much of a difference for 4th graders. The answer couldn’t be A, B, or D so I came to the conclusion that it’s C. (Sorry if this explanation doesn’t make sense but I hope I got the right answer.)
The true statement is the word length varies more in the 8th grade book than the 4th grade book.
Mean is a measure of central tendency. It is the average of a set of values. For example, if the numbers in a data set are 3,2,10, the mean is (3 + 2 + 10) /3 = 5
Range is the highest number less the least number in a data set. For example, if the numbers in a data set are 3,2,10, the range is 10 - 2 = 7
The mean word length for the fourth grade book is 5. While, the mean word length for the eighth grade book is 6. This means that on average, the average word length of the eighth grade book is greater than the mean word length for the fourth grade book
The range word length for the fourth grade book is 6. While, the range word length for the eighth grade book is 9. These means that either the longest word in the eighth grade book is more than that of the fourth grade book or that the smallest word in the eighth grade book is less than than that in the fourth grade book. This means that the word length varies more in the 8th grade book than the 4th grade book.
To learn more about mean, please check: https://brainly.com/question/12528427?referrer=searchResults
Find the measure of arc YWX.
1350
650
Imagine math please help
Answer:
The one in the upper left corner
Step-by-step explanation:
it is a good equation and the wording matches the problem
What is the mean 1 -6 -6 -7 0 -5 3 -4
Answer:
-3
Step-by-step explanation:
i added up all the numbers then divided by how many numbers there was with what i got by adding them up
Answer:
The mean is -3
Step-by-step explanation:
1 -6 -6 -7 0 -5 3 -4
To find the mean you add up all the numbers and divide by the number of numbers
(1 -6 -6 -7+ 0 -5+ 3 -4)/8 =(-24)/8 = -3
In triangle ABC, c is the hypotenuse, 0=25 degrees, and b=3
Find the length of c
Answer:
c approximately equals 3.31
Step-by-step explanation:
Find the circumference of each circle.
Answer:The distance around a rectangle or a square is as you might remember called the perimeter. The distance around a circle on the other hand is called the circumference (c).
circle diameter radius
A line that is drawn straight through the midpoint of a circle and that has its end points on the circle border is called the diameter (d)
Half of the diameter, or the distance from the midpoint to the circle border, is called the radius of the circle (r).
The circumference of a circle is found using this formula: so the answer is B
Step-by-step explanation:
what is the answer for log 3 9 =
Answer:
The answer is 2
Step-by-step explanation:
log
3(
9)
3 to what power is equal to 9?
Since 3^2=
9,
log
3
(
9)=2
Hope this helps!
Please mark brainliest :)
Chantel is running for a rally race she ran 2,000 feet every day for six days how many yards did Chanel run
Answer:
4,000 yards
Step-by-step explanation:
2,000 ft * 6 days = 12,000 feet ran in total
Conversion: 3 feet = 1 yard
12,000 ft = 4000 yards
select the appropriate formula for the surface area of the given figure
Answer:
The answer is A
Step-by-step explanation:
This figure is a cylinder and the surface area formula of a cylinder is 2 pi rh + 2pi r^2
Enrique collected 7 more than 2 times as many recyclable bottles as Natasha. Write an expression for the number of bottles they collected altogether
Answer:
12
Step-by-step explanation:
because 7x2 is 12
Answer:
3n+7
Step-by-step explanation:
Let's say the variable n stands for how many recyclable bottles Natasha collected.
Enrique collected 7 more than double of what Natasha has.
SO
2n+7
We also need to include Natasha's share
(2n+7) + n
OR 3n+7
If you have 24 square tiles, how many different rectangles can you make? Each rectangle must use all of the tiles and have no holes or gaps. Sketch each rectangle and label its length and width.
Answer:
4
Step-by-step explanation:
A rectangle has a shorter side and a longer side.
The longer side is called the length and the shorter side is called width.
with the 24 tiles you can make the following rectangles (consider the first number the length and the second number the width, and that each unit represents a tile):
24 x 1
12 x 2
8 x 3
6 x 4
A total of 4 different rectangles.
I am not counting the rectangles than have the same sides shifted, for example 2 x 12 because it is the same as 12 x 2 and we are asked for the rectangles to be different.
I attache an image of the sketch of each rectangle with the labels of length and width (not to scale).