Answer:
Step-by-step explanation:
From the given information:
Note that the possible values of Y are 0 and 1 because;
y = 0 if X = 0 and y = 1 if X = ±1
∴
[tex]P(Y =0) = P(X = 0) =\dfrac{1}{3}[/tex]
[tex]P(Y = 1) = P(X = -1 \ or \ 1) \\ \\ = P(X = -1) + P(X = 1)[/tex]
[tex]= \dfrac{1}{2}+ \dfrac{1}{6}[/tex]
[tex]=\dfrac{3+1}{6}[/tex]
[tex]= \dfrac{2}{3}[/tex]
b)
[tex]E(|X|) = \sum |x| P(X=x) = ( 1 \times \dfrac{1}{2}) + ( 0\times \dfrac{1}{3}) + ( 1 \times \dfrac{1}{6})[/tex]
[tex]= \dfrac{2}{3}[/tex]
Me Pekzer has a problem he has become obsessed with TickTock's he makes them all the time now when he started counting he had made 544 different TickTock's he did some calculations and determined the number of TickTock's he made was growing by 11% each week write an equation to represent this situation .
Answer:
544w + 11%
Step-by-step explanation:
544 is the number he started with, so if he increases 11% by w (the amount of weeks) then you will get your anwser based on the number of weeks he increases
Which situation can be represented by 10x + 45 = 25x?
A.Ten times the sum of a number and 45 cents is the same as 25 times the number. What is the number, x?
B.A coin collection contains the same number of quarters as dimes. The value of the quarters increased by 45 cents is the same as the value of the dimes. How many quarters or dimes, x, are in the collection?
C.Twenty-five times a number is the same as 45 times the number increased by 10. What is the number?
D.The value of x dimes increased by 45 cents is the same as the value of x quarters. What is the value of x?
Answer:
its A.
Step-by-step explanation:
Answer: A. .Ten times the sum of a number and 45 cents is the same as 25 times the number. What is the number, x?
Step-by-step explanation:
10x + 45 = 25x can be written = its 10 times (x) + 45 is the sum of 25 times (x) the number
Hope this helps :)
A cable TV company has a $35 installation fee and a $15 monthly rate. Write an equation in slope-intercept form to describe the cost of cable TV for any number of months. Use x for the number of months and y for the total cost.
Answer:
y=15x+35
Step-by-step explanation:
15 every month and 35 for instant charge
Can someone help me please
Answer:
C
B
C
A
B
B
C
Hope this helps!
Find the Value of x in each figure.
[REFER TO ATTACHED PICTURE]
Answer:
First pic) x = 10
Second pic) x = 25
-
Step-by-step explanation:
☆9x - 15 is congruent to 7x + 5, meaning they equal the same. This is because they are vertical to each other
☆The equation would be a 9x - 15 = 7x + 5.
☆Let's solve it!
[tex] \: \: \: \: \: \: \: \: \: 9x - 15 = 7x + 5 \\ \frac{ - 7x \: \: \: \: \: \: \: = - 7x}{2x - 15 = 5} \\ \frac{ \: \: \: \: \: \: \: \: \: \: + 15 = + 15}{ \frac{2x}{2} = \frac{20}{2} } \\ \\ x = 10[/tex]
-------
☆2x + 15 and x are complementary angles, meaning they equal 90ndegrees together. This is because they lie on a right angle.
☆The equation would be: 2x + 15 + x = 90.
☆Let's solve it!
[tex]2x + 15 + x = 90 \\ 3x + 15 = 90 \\ \frac{ \: \: \: \: \: \: \: \: \: - 15 = - 15}{ \frac{3x}{3} = \frac{75}{3} } \\ \\ x = 25[/tex]
4x² when x = 5/6 and 1/2
Write the phrase as an expression.
5 less than 8
An expression is
Answer:
the expression is 5 - 8
which is -3
or
the expression is 5 < 8
Two students drive separate cars.
• Student 1 begins driving 90 minutes before student 2.
• Student 1 drives at a speed of 48 miles per hour.
• Student 2 drives at a speed of 64 miles per hour.
For how many hours has student 1 been driving when both students have driven exactly the same distance?
O 1 hour 30 minutes
3 hours 0 minutes
6 hours 0 minutes
7 hours 30 minutes
Student take 7hours30 mins to drive.
Estimate the time Juanita will arrive at her aunt's home 320 miles away if she leaves at 9:00 a.m., drives about 60 miles per hour, and stops
for a 40 minute break halfway.
A 12:00 p.m.
B. 1:00 p.m.
c. 2:00 p.m.
D. 3:00 p.m.
E. 4:00 p.m.
Answer:
D. 3:00 p.m.
Step-by-step explanation:
d = Distance = 320 miles
s = Speed = [tex]60\ \text{mph}=\dfrac{60}{3600}=\dfrac{1}{60}\ \text{miles/s}[/tex]
Time taken is given by
[tex]t=\dfrac{d}{s}\\\Rightarrow t=\dfrac{320}{\dfrac{1}{60}}\\\Rightarrow t=19200\ \text{s}[/tex]
40 minutes break is [tex]40\times 60=2400\ \text{s}[/tex]
Total time taken is [tex]19200+2400=21600\ \text{s}=\dfrac{21600}{60\times 60}=6\ \text{hours}[/tex].
So, the entire trip took 6 hours. 6 hours after 9 a.m. is 3 p.m.
I hate these plz help again
Answer and Step-by-step explanation:
We can eliminate answer choices 2 and 4, since the graphs are shading below the line, which means y is less than or less than or equal to the values.
The answer is the first answer choice.
This is because this inequality matches up with the graph.
Everything is shaded below, and y is less than, so it matches up.
3 is the y-intercept.
The slopes match up as well.
#teamtrees #WAP (Water And Plant)
Simplify
(45x6y%) = (5x4y2
Answer:
0 would be your anwswer
Step-by-step explanation:
6 If the altitudes of a triangle meet at one of the triangle’s vertices, then the triangle is
1) a right triangle
2) an acute triangle
3) an obtuse triangle
4) an equilateral triangle
Answer:
1) a right triangle
Step-by-step explanation:
One of the caractheristics of a right triangle, the one in which the sum of the two sides squared is the hypotenuse squared(Pytagorean Theorem), is also the the altitudes of a triangle meet at one of the triangle’s vertices. So 1) is the answer to this question.
please help meeeeeeeeeeeee
Answer:
Step-by-step explanation:
area of the kite,
A=(d1*d2)/2
A=(16*21)/2= 168 in^2
choice C
write the equation of the line that is parallel to y = 4x -7 and passes through the point (-2, -5). show your work.
Answer:
y = 4x + 3
Step-by-step explanation:
To do this, put the new line into the form y = mx + b where m is the slope and b is the y-intercept.
When two lines are parallel, they have the same slope. Since, the slope of the first line is 4, that means the slope of the second line is also 4.
So far, the equation is y = 4x + b.
Then, since you know (-2, -5) is a solution, x = -2, y = -5 is a solution so you can plug this into the equation.
This would be:
-5 = 4 * -2 + b
-5 = -8 + b
3 = b
This means the equation is y = 4x + 3.
Find the length of side x in simplest radical form with a rational denominator.
9514 1404 393
Answer:
(4√3)/3
Step-by-step explanation:
You know the ratio of side lengths is ...
x : 4 = 1 : √3
Then ...
x = 4/√3
Multiply by (√3)/(√3) to rationalize the denominator:
x = (4√3)/3
Mary's scarf is 64 centimeters long. How many millimeters is the length of the scarf?
Answer:
640 mm
Step-by-step explanation:
A scientist digs near an ancient city.
She finds a cup buried at -7 feet. She finds a plate buried at -4 feet.
Use absolute value to show which was buried farther from the surface.
A. The cup is farther from the surface, because |-7 is less than 1-4).
B. The cup is farther from the surface, because |-71 is greater than |-
4.
C. The plate is farther from the surface, because (-71 is greater than
1-41.
D. The plate is farther from the surface, because -7 is greater than -
4.
My
Answer:
c
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
165% as a fraction. PLEASE I NEED IT NOW
Answer:
33/20
Step-by-step explanation:
Answer:
1.65 is the answer just put a decimal
In the number 4,532,800 what place is the 5
Answer:
One-Hundred Thousand Place value
Step-by-step explanation:
The area of triangle ABC is 4 root 2. Work out the value of x
Answer:
x ≈ 2.4
Step-by-step explanation:
Area of the triangle = 1/2 absin theta
Find the diagram of the triangle attached
a = 2x-3
b =x+2
theta = 45°
Substitute and find x
4√2 = 1/2(2x-3)(x+2)sin45
8/√2 = (2x-3)(x+2)(1/√2)
8 = (2x-3)(x+2)
Expand
8 = 2x²+4x-3x-6
2x²+x-6-8=0
2x²+x-14 = 0
x = -1±√1²-4(14)(2)/2(2)
x = -1±√1+112/4
x = -1±√113/4
x = -1+10.63/4
x = 9.63/4
x = 2.4
The value of x is 3.075.
Given that,
The area of the triangle is [tex]4\sqrt{2}[/tex] square meter,
and [tex]\theta[/tex] is 45 degrees.
The one side of the triangle is (2x-3) and the other side of the triangle is (x+2).
We have to determine
The value of x.
According to the question
The area of the triangle is determined by the following formula,
[tex]\rm Area \ of \ triangle = \dfrac{1}{2} sin\theta[/tex]
Substitute all the values in the formula
[tex]\rm Area \ of \ triangle = \dfrac{1}{2} absin\theta\\\\4\sqrt{2} = \dfrac{1}{2} (2x-3)(x+2) sin45\\\\2\times4\sqrt{2} = (2x^2+4x-3x-6)\dfrac{1}{\sqrt{2} }\\\\\sqrt{2} \times8\sqrt{2} = (2x^2+x-6)\\\\8\times2 = (2x^2+x-6)\\\\16 = 2x^2+x-6\\\\2x^2+x-6-16=0\\\\2x^2+x-22=0\\\\x = \dfrac{-b\pm\sqrt{b^2-4ac} }{2a}\\\\x = \dfrac{-1\pm\sqrt{(-1)^2-4\times2\times(-22)} }{2\times2}\\\\x = \dfrac{-1\pm \sqrt{177} }{4}\\\\x = \dfrac{-`1\pm13.30 }{4}\\\\[/tex]
[tex]\rm x = \dfrac{-1+13.30}{4} \ and \ x = \dfrac{-1-13.30}{4} \\\\x = \dfrac{12.30}{4} \ and \ x= \dfrac{-14.30}{4}\\\\x = 3.075 \ and \ x = -3.575[/tex]
The value of x can not be negative so the value of x is 3.075.
Hence, The required value of x is 3.075.
For more details refer to the link given below.
https://brainly.com/question/15894203
Seven angles of an octagon measure 105, 139, 131, 115, 155, 138, and 145 degrees. What is the measure of the eighth angle?
Answer:
105 hopefully this helps you
Select all the expressions that have a value of 180 when b = 4. o 876 – 179 + 957 - 87 O 336 12 62 + 120 0 516 - 24 ( 115 + 187 – 2,756 - 13
Answer: miata
Step-by-step explanation:
I NEED HELP , TOO LAZY✋
Answer:
The median is 6
Step-by-step explanation:
First put the numbers in order: 3,4,4,4,5,7,7,8,9,12
Here, the 5th & 6th terms are 5 &7
So, median = 5+7/2
=12/2
=6
Answer:
6
Step-by-step explanation:
For funding out the median firstly we need to arrange the data in ascending or descending order . Here on arranging the given data in ascending order we have ,
3,4,4,4,5,7,7,8,9,12The median is the middle most observation , in case of odd nos . And the mean of two middlemost observations in case of even nos . Here the number of data is even , and the two middlemost observations are 5 and 7 , so ,
=> Median = x₁ + x₂ / 2
=> Median = 5 + 7/2
=> Median = 12/2
=> Median = 6
Hence the median of the given data is 6 .A government study in 2020 estimated that 1 million Californians don’t have access to safe drinking water. If the population of California is 39.51 million, what percentage of the population don’t have access to safe water?
Answer:
2.53%
Step-by-step explanation:
all you have to do is 1 / 39.51 = about 0.0253 = 2.53%
Find the value of the power.
35 =
The 5 is supposed to be on the top of the 3 but on the right side.
Answer:
Step-by-step explanation:
You mean 3⁵ = ? stay click
3⁵ = 3×3×3×3×3
= 243
PLEASE I NEED IT ASAP find the value of t if t - 7 = 12
Dario borrows $12,000 to buy a car. He borrows the money at a yearly, or annual, simple interest rate of 4.2%. How much more interest will Dario owe if he borrows the money for 5 years instead of 1 year?
ITS URGENT HURRY!!!!!
Answer:
$2016 moreStep-by-step explanation:
Borrowed amount = $12000Interest rate = 4.2% per year simpleInterest in 1 year:
$12000*4.2/100 = $504Interest in 5 years:
$12000*4.2*5/100 = $2520The difference between 1-year interest and 5-year interest:
$2520 - $504 = $2016For which shape is 45 degrees the smallest angle of rotational symmetry?
Answer:
Step-by-step explanation:
You want the external angle to be 45°.
If n = number of sides, the external angles are each 360°/n = 45°
n = 360/45 = 8
The shape is a regular octagon.
Answer:
the sun
Step-by-step explanation:
truss lebro
a. Miss Butler made a circle graph to show the grades on the term papers. There were 14 B's, 10 A's, and 8 C's.
Leslie shows a funny video to 5 of her friends. Every hour, the video
views triple. Leslie shows a funny video to 5 of her friends. Every hour, the video
views triple. How many people saw the video on the 7th hour? many total people saw the video after the 7th hour?
Answer:
10,935 views
Step-by-step explanation:
We can first design a formula for this scenario. Since the views triple this means that the initial views (i) needs to be multiplied by 3. Since this happens every hour we need to raise 3 to the power of the number of hours (h) that has passed by. This would give us the total number of views at that hour. Therefore, the formula would be the following...
i * [tex]3^{h}[/tex]
We can input the values given to us into the formula and solve it for the total number of view. The initial number of views would be 5 (one for each friend) while we are trying to find the total number of views in the 7th hour.
5 * [tex]3^{7}[/tex]
5 * 2187
10,935 views