Answer:
Step-by-step explanation:
Given that:
P(Y) = ky
where;
y =1,2,...7
To find the value of c or k (constant)
[tex]\sum P(Y) = 1[/tex]
[tex]\sum \limits_{y \to 1}^7 k*y = 1[/tex]
= k(1+2+3+4+5+6+7) = 1
28k = 1
[tex]k = \dfrac{1}{28}[/tex]
b) The required probability is P ( X ≤ 3)
[tex]P(X \le 3) = \sum \limits^3_{y=1 } P(y)[/tex]
[tex]P(X \le 3) = \sum \limits^3_{y=1 } \dfrac{1}{28}(y)[/tex]
[tex]P(X \le 3) = \dfrac{1}{28} (1 +2+3)[/tex]
[tex]P(X \le 3) = \dfrac{6}{28}[/tex]
P ( X ≤ 3) = 0.2143
c) The required probability P(2 ≤ Y ≤ 4)
[tex]P(2 \le Y \le 4) = \sum \limits ^4_{y=2} P(Y)[/tex]
[tex]P(2 \le Y \le 4) = \sum \limits ^4_{y=2} \dfrac{1}{28}(Y)[/tex]
[tex]P(2 \le Y \le 4) = \dfrac{1}{28}(2+3+4)[/tex]
[tex]P(2 \le Y \le 4) = 0.3214[/tex]
d) The required probability:
[tex]P(X) = \dfrac{x^2}{50} ; \ \ \ \ where; \ x= 1,2,...5[/tex]
[tex]\sum \limits ^5_{y =1} P(Y)= \sum \limits ^5_{y =1} \dfrac{1}{50}(x)^2[/tex]
[tex]\sum \limits ^5_{y =1} P(Y)= \sum \limits ^5_{y =1} \dfrac{1}{50}(1+4+9+16+25)[/tex]
[tex]\sum \limits ^5_{y =1} P(Y)=1.1[/tex]
Which expression is equivalent to -32^3/5?
Answer:
the first one
Step-by-step explanation:
Question 3 of 10
Which of the functions below could have created this graph?
O A. F(x)= x'- *°-38° +3
O B. F(x)== - 5x4 - 4x +5
O c. F(x)=x* +2x +5
O D. F(x) = -x"' +52° + 4
Answer:
The correct answer is A.
Step-by-step explanation:
From the picture you provided, you choose option A, f(x) = x^7 - x^3 - 3x^2 + 3 . Hope that helped :)
The functions that could have created this graph is f(x) = x⁷-x³-3x²+3
What is a function?A function is an equation for which any x that can be put into the equation will produce exactly one output such as y out of the equation.
Given is a graph, we need to find its equation,
So, the graph is U-shaped, therefore, the leading coefficient is, a > 0
also, the graph does not have a zero at the origin,
The function which could possibly create the graph is the option; A.
F(x) = x⁷-x³-3x²+3
The leading coefficient is 1 > 0
The function has no factors of x = 0
The function has a linear factor.
Hence, the functions that could have created this graph is f(x) = x⁷-x³-3x²+3
Learn more about functions, click;
https://brainly.in/question/9181709
#SPJ7
These are 2 questions please help me
Answer:
Step-by-step explanation:23
write an expression that is equivalent to (x-5)²
Answer:
x²-10x+25
Step-by-step explanation:
expand the expression
(x-5)²
(x-5)(x-5) distribute
x²-5x-5x+25
combine like terms
x²-10x+25
if you get x^2-25 then you're only squaring the x and 5, you have to square the whole equation (x-5)(x-5) is doing (x-5)^2. for example, if you just had (5)^2 you would take the whole "equation" which is 5 and times that equation by itself.
the options are
A. 1
B. -1
C. 1
D. 1
Work out the length of EF
Answer:
EF=2 cm
Step-by-step explanation:
Answer:
EF = 2 cm
Step-by-step explanation:
HK = HG + GK
10 = 4 + GK
GK = 10 - 4
GK = 6 cm
or
KG = 6cm
[tex] \triangle EGH \cong\triangle KGF... (given) [/tex]
[tex]\because EG\cong KG.. (cpct) [/tex]
[tex]\therefore EG = 6 cm [/tex]
[tex]\because FG\cong HG.. (cpct) [/tex]
[tex]\therefore FG = 4 cm [/tex]
EF = EG - FG (E-F-G)
EF = 6 - 4
EF = 2 cm
On a floor plan drawn at a scale of 1:100, the area of a rectangle room is 30 cm2. what is the actual area of the room?
Ans
A.30,000 cm2
B. 300 m2
C. 3,000 m
D. 30 m2
find the measure of the missing angle
Answer:
50
Step-by-step explanation:
40 plus 90 equals 130 and triangle must be 180 so we need 50 degree
50°
Let x be the missing angle.
90°(right angle) + 40°(given) + x = 180° ( the sum of degrees of interior angles of triangle)
x = 180°-130°
x = 50°
En un paralelogramo de tiene ?
Answer:
Elementos y propiedades del paralelogramo
Lados: el paralelogramo tiene cuatro lados, siendo iguales y paralelos dos a dos (a y b). Ángulos: los ángulos interiores son iguales dos a dos, siendo iguales los ángulos no consecutivos (α y β). Como en todo cuadrilátero, sus ángulos interiores suman 360° (2α + 2β = 360°)
Step-by-step explanation:
Elements and properties of the parallelogram
Sides: the parallelogram has four sides, two by two (a and b) being equal and parallel. Angles: the interior angles are equal two by two, the non-consecutive angles (α and β) being equal. As in any quadrilateral, its interior angles add up to 360 ° (2α + 2β = 360 °) (English version lol)
i neeed help asap please
Answer:
last option.
linear pair
.............
A storm is moving toward your house at a speed of 20 km/hr. It is now 60 km away from your
house. In what time will the storm reach your house?
Answer:
3 hours
Step-by-step explanation:
(60km)/(20km/hr)=3
CAN ANYONE PLEASE HELP IVE GOTTEN NONE AND WILL FAIL IF I DONT GET ANY
A ball is thrown into the air with an initial velocity of 30 meters per second.
The quadratic function h(t) = −4.9t^2 + 30t + 10 represents the height of
the ball above the ground, in meters, with respect to time t, in seconds.
Determine h(3) and explain what it represents.
Answer:
55.9
Step-by-step explanation:
The ball takes 3 seconds to go up 55.9 meters.
3^2=9
-4.9 x 9 = -44.1
30 x 3 = 90
-44.1 + 90 = 45.9
45.9 + 10 = 55.9
May someone please help me out with this? Look at the image above. How do I do this? May someone help me out please
Answer:
u = 9
Step-by-step explanation:
angle c and a are congruent so take the 2 angles and turn them into an equation
u + 99 = 12u
subtract 1u from both sides, you're left with 99 = 11u
now, divide each side by 11
now you'll get the value of u which is 9 (u = 9)
since 99/11 is 9 that's the value of u.
True or false: is x=4 a solution to |x+5| =-9?. Explain
Answer:
No
Step-by-step explanation:
if u subsitute x for 4, 4+5 would equal positive 9.
Find the value of x for which L parallel m (3x-33) (2x+26)
Answer:
59
Step-by-step explanation:
Find the diagram attached
From the diagram, we can see that both given angles are vertically opposite angles, hence they are equal
3x - 33 = 2x+26
3x-2x = 26 + 33
x = 59
Hence the value of x is 59
Mika rides his bike 3 miles each way to his friend's house. He leaves his house at 4 p.m. How many miles does he ride his bike there and back? What information is extra?
Answer: Mika rides his bike for 6 miles to his friend's house and back. The extra information is when the problem says "He leaves his house at 4 p.m." since we are talking about distance, not time.
Step-by-step explanation:
Find the equation of the line passing through the points (-2,8) and (8,- 7). Write the equation in
slope-intercept form.
Answer:
Step-by-step explanation:
[tex]y=mx+b\\ \\ m=\frac{-7-8}{8-\ -2}=\frac{-15}{10}=\ -\frac{3}{2}\\ \\ y=\ -\frac{3x}{2}+b,\ (-2,8)\\ \\ 8=\ -\frac{3(-2)}{2}+b\\ \\ 8=3+b,\ b=5\\ \\ y=\frac{10-3x}{2}[/tex]
Answer: y = - 3/2x + 5
Step-by-step explanation:
To write the equation in slope intercept form, you will have to find the slope and the y-intercept.
(-2,8) (8,-7)
To find the slope using these points, you will find the difference in the y coordinates and divide it by the difference in the x coordinates.
-7 - 8 = - 15
8 - (-2) = 10
Slope: -15/10 = -3/2
The slope is -3/2
Now using the formula y=mx+b , use one of the given points and the slope to solve for b , which is the y-intercept.
8 = -3/2(-2) + b
8 = 3 + b
-3 -3
b = 5
Two cards are selected from a standard deck of 52 playing cards. The first card is not replaced before the second card is selected. Find the probability of selecting a jack and then selecting a king
The probability of selecting a jack and then selecting a king is _______
(Round to three decimal places as needed)
Answer:
3.25
Step-by-step explanation:
If you horizontally stretch the quadratic parent function, f(x) = x2, by a factor
of 3, what is the equation of the new function?
O A. g(x) = x²
O B. g(x) = (3x)2
C. g(x) = 3x2
O D. g(x) = (3x)2
Answer:
g(x)=(1/3x)² .................
5th grade math. Correct answer will be marked brainliest.
Answer:
1. 38.7
2. 3.87
3. .387
Step-by-step explanation:
1. So when dividing by numbers with exponents specifically 10 which is the most common number to have an exponent with you can look at the exponent and that number is the amount of zeros. So in this question there is 10 to the zeroth power. The amount of zeros would be zero so it is actually 1.
So then 10 to the zeroth power is equivalent to 1. The problem then becomes this: 38.7 / 1 which obviously equals 38.7
2. As I explained earlier, 10 to the first power would be 10 because the exponent number is one so that means the amount of zeros is one.
Equation: 38.7 / 10 which to solve you need to move the decimal to the left which gives you the answer, 3.87
3. The exponent number is 2 so, 10 to the second power is 100.
Equation: 38.7 / 100
Move the decimal to the right twice and it will give you the answer .387
Please note that when multiplying by powers of 10 you move the decimal point to the left and when dividing by powers of ten you move the decimal to the right.
I am in fifth grade right now and I have 98% and up in all classes so these are kind of easy for me.
Six more than the quotient of a number squared and eleven
Answer:
Step-by-step explanation:
[tex]\frac{n^2}{11}+6[/tex]
100% of what equals 12
Answer:
12
Step-by-step explanation:
Acellus
A bag contains 10 marbles. Four of
them are red, three blue, two white,
and one yellow. A marble is drawn at
random. What is the probability that it
is blue?
Answer:
3/10
Step-by-step explanation:
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
the bag contains 10 marbles in total
the problem tells us that the bag contains 3 blue marbles
the probablity that a blue marble is drawn is 3/10
GEOMETRY HELP ME
Find the measures of all the angles listed and if the lines are parallel explain why?
Answer:
x= 110°
Step-by-step explanation:
if you continue drawing the top purple line you will have a triangle with three angles
70° ; is given
180-140= 40°; is the same angle as the supplement angle of 140° (complementary angles are congruent)
180-70-40 = 70°; because sum of angles in a triangle is 180°
So angle x= 180 -70 = 110 because are a linear pair
Answer:
110 deg
Step-by-step explanation:
The supplement of the 140 deg angle measures 40 deg.
Draw a line through the vertex where angle x is that is parallel to the other two lines. That line splits angle x into two angles, an upper angle and a lower angle.
By alternate interior angles, the lower angle that is part of angle x measures 70 deg. Also by alternate interior angles, the upper angle that is part of angle x measures 40 deg.
x = 70 + 40 = 110
Answer: 110 deg
write the number 31 in tens and ones. 2 tens ? Ones
Answer:
you could do 3 tens and 1 ones or 2 tens and 11 ones
Step-by-step explanation:
hope this helps!
Solve x + 2∕5 = 1∕3 for x.
Question 15 options:
A)
x = –11∕15
B)
x = 1∕15
C)
x = 11∕15
D)
x = –1∕15
Answer:
D
Step-by-step explanation:
x + 2/5 = 1/3
x = 1/3 - 2/5
x = -1/15
Answer:
-1/15
Step-by-step explanation:
Find the total surface area of a rectangular prism with ?
Answer:
88 Squared units
Step-by-step explanation:
[tex]A=2*6*4+2*4*2+2*6*2=88unit^{2}[/tex]
Rick earned 36 extra credit points. Cindy earned e fewer extra credit points than Rick. Write
an expression that shows how many extra credit points Cindy earned.
PLEASE ANSWER
Answer:
36-e
Step-by-step explanation:
-
There are 275 people in a movie theater. Of those, 150 are adults. What is the ratio of
CHILDREN to ADULTS?
Answer:
270 to 150
Step-by-step explanation:
Answer:
children: adult= 5:6
Step-by-step explanation:
no. of children = total - adult
children = 125
ration = 125:150
= 5:6
¿Cómo se dice 2021 en números romanos?
Answer:
MMXXI Hope this helps :)
Step-by-step explanation:
