Answer:
Step-by-step explanation:
[tex]\begin{array}{c|c|c|c}&D&E&Sum\\---&---&---&---\\A&10&20&30\\B&15&5&20\\C&30&15&45\\---&---&---&---\\Sum&55&40&95\\\end {array}\\\\\\1) P(E)=\dfrac{40}{95} =\dfrac{8}{19} \\\\2) P(B \cup D)=P(B)+P(D)-P(B \cap D)=\dfrac{20}{95} +\dfrac{55}{95} -\dfrac{15}{95} =\dfrac{60}{95} =\dfrac{12}{19} \\\\3) P(A \cap E)=\dfrac{20}{95}=\dfrac{4}{19} \\\\4) P(B | E)=\dfrac{P(B \cap E )}{P(E)} =\dfrac{\dfrac{5}{95} }{\dfrac{40}{95} } =\dfrac{5}{40}= \dfrac{1}{8} \\\\5) P(D|E)=0[/tex]
Solve for m. 10m + 6n = 12
Answer:
m = 3(-n+2) / 5
Step-by-step explanation:
10m + 6n = 12
-6n -6n
----------------------
10m = 12 - 6n
/10 /10
-----------------------
m = 3(-n+2) / 5
50 is 1/10 of whatttt I NEED HELP
Answer:
[tex]let \: the \: unknown \: = x \\ then \: \frac{x}{10} = 50 \\ x = 50 \times 10 \\ x = 500 \\ thank \: you[/tex]
oops wrong question sorry
9. The sum, Sn, of the first n terms of a geometric progression is given by Sn = 3" - 1.
(a) the sum of the first 8 terms.
[tex]\boxed{\sf S_n=3^n-1}[/tex]
Now
[tex]\\ \sf\longmapsto S_8=3^8-1[/tex]
[tex]\\ \sf\longmapsto S_8=6561-1[/tex]
[tex]\\ \sf\longmapsto S_8=6560[/tex]
What is the surface area of a cube that has a side length of 5 feet?
A. $25
B. $75
C. $125
D. $150
Answer:
D. 150
Step-by-step explanation:
A=6a^2=6·5^2=150
helppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppppp
Answer:
b
Step-by-step explanation:
19 × 9 =171
length × width = area
Answer:
[tex]area \: of \: the \: rectanle \: = 19 \times 9 = 171 \: inches \\ \\ \\ \\ \\ \\ \\ \\ mark \: me \: as \: brainliest[/tex]
If a = 1, b = 3, c = 4, what is x? Use the formula x= c/ (b-a).
Answer:
Step-by-step explanation:
A=1,B=3,C=4
X= 4/(3-1)
X= 4/2
X=2
2 x^4 "-13x^3" +19x^2 +5x +1 = (x-4)(Ax+1)(x^2 +Bx +1) +C is true for all the values of x ; Find the values of A, B and C
Answer:
A=2
B=-3
C=-5
Step-by-step explanation:
The highiest coefficient in degree of the polynomial is 2 on the left and 1*A*1,
A=2
Let's make the synthetical division:
[tex]\boxed{A=2}\\\begin{array}{c|c|c|c|c|c}&x^4&x^3&x^2&x&1\\---&---&---&---&---&---\\&2&-13&19&5&1\\x=4&&8&-20&-4&4\\&2&-5&-1&1&-5\Longrightarrow \boxed{C=-5}\\x=-\frac{1}{2}&-1&3&-1&\\2&-6&2&&\\---&---&---&---&---&---\\\end {array}\\\\\\\boxed{2x^4-13x^3+19x^2+5x+1=(x-4)(2x+1)(x^2-3x+1)-5}\\\\\\\boxed{B=-3}\\[/tex]
What is the average rate of change over the
interval [0.75, 1.125]? Explain the meaning
of the average rate of change.
Answer:
The average rte of change = 6
2) The average rate of change over an interval is the ratio of the total change in the determinate variable or function (values of the output of the function) to the change in the indeterminate variable (values of the input of the function)
Step-by-step explanation:
1) The average of change of the function is found as follows;
At x = 0.75, y = -0.5, at x = 1.125, y = 1.75
Therefore, the average rate of change = (1.75 - (-0.5))/(1.125 - 0.75) = 6
2) The average rate of change over an interval on a graph or of a curve is found by dividing the difference between the y-coordinate values of the two points on the graph by the difference of the x-coordinate values of the two points.
Step-by-step explanation:
Elizabeth continued to save for her car down payment.
What was her balance A after she made another deposit?
O $995
O $985
O $975
O $855
Answer:
985
Step-by-step explanation:
they are asking what her balance was after her first deposit (A) so you only adding 65.00 to the original 920.00
The endpoints of GH are G(-3,0) and G(7, -8) Find the coordinates of the midpoint M
Answer:
(2,-4)
Step-by-step explanation:
How many integers have absolute value equal to 3
Answer:
There are 2 integers, which absolute value are 3. -3 and 3 itself
Step-by-step explanation:
|-3| = 3 and |3| = 3 to
Answer:
2 integers at a time will be able to have the same absolute value. This is because integer can be both positive and negative, while absolute value always remains positive:
The absolute value of both 2 and (-2) is 2.
The spinner below shows 10 equally sized slices. Lisa spun the dial 1000 times and got the following results.
Answer:
where are the results
Step-by-step explanation:
What is the area of the square?
24 mm
288 square millimeters
96 square millimeters
312 pi square millimeters
576 square millimeters
Answer:
576 mm²
Step-by-step explanation:
In a square all sides are equal, so area of square = s * s = s²
Area = 24 * 24
Area = 576 mm²
plz help me!!!!!!!!!!
Explain why the relationship between the height of these objects and the length of their
shadows are approximately proportional.
Two competing gyms each offer childcare while parents work out. Gym A charges $9.00 per hour of childcare. Gym B charges $0.75 per 5 minutes of childcare. Which comparison of the childcare costs is accurate
Answer:
11000 JY.
Step-by-step explanation:
According to today's exchange rate
1 US dollar = 110 JY
100 US dollars = 100 * 110 JY
You should get 11000 JY.
Pick the answer that is closest to this exchange rate.
Answer:
Gym B and Gym A charge the same hourly rate for childcare.
Is p(4p - 9) =12 or p(4p - 9) - 12 quadratic?
pls need help
From: Brainly.ph (philippines)
Answer:
p(4p - 9) =12 ⇒ 4p² - 9p = 12 ⇒ 4p² - 9p - 12 = 0
This is a quadratic equationp(4p - 9) - 12 ⇒ 4p² - 9p - 12
This is a quadratic expressionStep-by-step explanation:
p(4p-9)=124p²-9p=12Since, it's one term has power 2 ,so it is quadratic
p(4p-9)-124p²-9p-12Since, it's one term has power 2, so it is quadratic
A 100 ftladder leans against a building. When the angle of elevation of the ladder is 81 degrees, how high up the building will the ladder reach?
Answer:
I am not to sure but i think a.
Step-by-step explanation:
evaluate the expression when c=4.
c²+5
Answer part A and part B
Answer: Part A: a square pyramid Part B: 84 square feet
Step-by-step explanation:
Part A: The shape will have a base that is a square with triangles on each of its edges that connect at a point at the top.
Part B: The amount of nylon needed is the surface area of the net. There is a square and two triangles. The square has a side length of 6 so its area will be 6*6=36 square feet. Each triangle has a base of 6 and a height of 4 so each of their areas will be [tex]\frac{6*4}{2}=12[/tex] square feet. Adding up the area of the 4 triangles and the square gives us 4*12+36=84 square feet.
Simplify the following expression:
2x − 8y + 3x2 + 7y − 12x
Question options:
3x2 − 14x − y
3x2 − 10x − y
3x2 − 10x − 15y
3x2 + 10x − y
Answer:
2nd option
Step-by-step explanation:
Given
2x - 8y + 3x² + 7y - 12x ← collect like terms
= 3x² + (2x - 12x) + (- 8y + 7y)
= 3x² + (- 10x) + (- y)
= 3x² - 10x - y
Order the racers from first place to fifth place based on the clues.
Susan finished the race in second place.
The swimmers who placed first and fourth have names that start with the same letter.
Maria finished immediately after Janice.
Jennifer finished before Emily.
Answer:
Jennifer - 1st
Susan - 2nd
Emily - 3rd
Janice - 4th
Maria - 5th
Step-by-step explanation:
Susan is 2nd.
Places 1, 3, 4, and 5 are left.
Janice and Jennifer both start with J. None of the other swimmers start with the same first letter. One is 1st and one is 4th.
Since Maria finished immediately after Janice, and Janice must be 1st or 4th, Janice can't be first since 2nd place is already taken. This means that Janice is 4th and Maria is 5th.
Places 1 and 3 are left.
We know Jennifer is 1st or 4th and since 4th is taken, Jennifer is first.
Place 3 is left.
Emily must be 3rd since that is the only spot left.
What is the greatest common factor of 42 and 64
the quotient of 8 and the cube of a number
Answer:
That's a variable expression?
I think is 8/x³
The length of a rectangle
is 4 meters less than twice the width.
If the area of the rectangle is 240 square meters,
The width is
meters.
The length IS
meters.
Answer:
length is 20 meters
width is 12 meters
Step-by-step explanation:
x = length
y = width
x = 2y - 4
x×y = 240
using the first equation as substitute in the second equation we get
(2y - 4)×y = 240
2y² - 4y - 240 = 0
the solution to such a quadratic equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
here we are going for y instead of x, but it is the same principle.
a = 2
b = -4
c = -240
y = (4 ± sqrt(16 - 4×2×-240))/4 = (4 ± sqrt(16 + 1920))/4 =
= (4 ± sqrt(1936))/4 = (4 ± 44)/4 = (1 ± 11)
y1 = 1 + 11 = 12
y2 = 1 - 11 = -10
negative side lengths don't make any sense, so, y = 12 meters remains.
x = 2y - 4 = 2×12 - 4 = 24 - 4 = 20 meters
The number of writing instruments in some teachers' desks is displayed in the dot plot. Which is greater the mean or the median? Explain your reasoning using the shape of the distribution.
please help..
30 points
The median is greater than the mean. From the shape of the distribution, the data set has more values on the left, so we can say it is skewed to the left. In every distribution that is skewed to the left, the median is always greater than the mean.
In the given chart we can deduce the following;
number of instruments that is 5 = 1number of instruments that is 6 = 1number of instruments that is 7 = 1number of instruments that is 8 = 1number of instruments that is 9 = 3number of instruments that is 10 = 4number of instruments that is 11 = 2number of instruments that is 12 = 1These numbers can be listed as follows;
5, 6, 7, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 12
The median of these numbers is calculated as;
[tex]median = \frac{9+ 10}{2} = 9.5[/tex]
The mean of these numbers is calculated as;
[tex]mean = \frac{5+6+7+8+9+9+9+10+10+10+10+11+11+12}{14} = 9.07[/tex]
Thus, the median is greater than the mean.
Also, from the shape of the distribution, the data set has more values on the left, so we can say it is skewed to the left. In every distribution that is skewed to the left, the median is always greater than the mean. But if the distribution is skewed to the right, the mean is always greater than the median.
Learn more here: https://brainly.com/question/24055593
Here it is help me pls
Answer:
(- ∞ , 3) u (7 , ∞ )
Step-by-step explanation:
f(x) is negative below the x- axis
This is int the intervals x < 3 , x > 7
domain is (- ∞ , 3 ) u (7, ∞ )
The manager of a movie theater wants to know what types of movies his customers prefer to watch. Which sample would most likely provide the most accurate data?
Answer: a random group of 30 people at a mall
Step-by-step explanation:
Got it from edgenuiy
Jaxon swam 100 meters in 2 minutes 30 seconds. If each lap is 25 meters long which is most likely to be her time in seconds per lap
37.5 sec/lap
Step-by-step explanation:
2 m and 30 sec to sec equals 150 sec
each lap is 25 m
100 ÷ 25 = 4 laps
150 ÷ 4 = 37.5 sec per lap
please help timed this time i actually added picture
which exponential function is represented by the values in the table?