Answer:
-7, -21, 0, 13, 24
Step-by-step explanation:
What are fractions? Plz help
a) Let X be a random variable that can assume only positive integer values, and assume its probability function is P(X -n) A/3^n for some constant A (n> 1). Find A.
b) Let X be a continuous random variable that can assume values between 0 and 3, and assume its density function is fx(x)- B(x2 +1) with some constant B (0< x ,3). Find B.
Answer:
a) The value of A = 2
b) The value of [tex]B = \dfrac{1}{12}[/tex]
Step-by-step explanation:
a)
Given that:
X should be the random variable that assumes only positive integer values.
The probability function; [tex]P[X = n] = \dfrac{A}{3^n}[/tex] for some constant A and n ≥ 1.
Then, let [tex]\sum \limits ^{\infty}_{n =1} P[X =n] = 1[/tex]
This implies that:
[tex]A \sum \limits ^{\infty}_{n =1} \dfrac{1}{3^n}= 1[/tex]
[tex]A \times \dfrac{\dfrac{1}{3}}{1 - \dfrac{1}{3}} = 1[/tex]
[tex]A \times \dfrac{\dfrac{1}{3}}{\dfrac{2}{3}} = 1[/tex]
[tex]A \times \dfrac{1}{2}=1[/tex]
A = 2
Thus, the value of A = 2
b)
Suppose X represents a e constant A (n> 1). Find A.
b) Let X be a continuous random variable that can assume values between 0 and 3
Then, the density function of x is:
[tex]f_x(x) = \left \{ {{B(x^2+1)} \ \ \ 0 \le x \le 3 \ \ \ \atop {0} \ \ \ otherwise} \right.[/tex]
where; B is constant.
Then, using the property of the probability density function:
[tex]\int ^3_0 \ B (x^2+1 ) \ dx = 1\\[/tex]
Taking the integral, we have:
[tex]B \Big [\dfrac{x^3}{3} +x \Big ]^3_0 = 1[/tex]
[tex]B \Big [\dfrac{3^3}{3} +3 \Big ]= 1[/tex]
[tex]B \Big [\dfrac{27}{3} +3 \Big ] = 1[/tex]
B [ 9 +3 ] = 1
B [ 12 ] = 1
Divide both sides by 12
[tex]B = \dfrac{1}{12}[/tex]
Which of the following is NOT a transformation?
Translation
Reflection
Rotation
Construction
Dilation
How far would the plane fly in t hours at this speed
Answer: 610 MPH
Step-by-step explanation:
915 divided by 1.5=610 MPH
610 divided by 2=305 MP Half n Hour
610+305=915
After getting 5 new rocks, George gave half of his rock collection to Susan. If George gave Susan 36 rocks, which equation could be used to determine how many rocks George started with?
One-half x = 36 + 5
One-half (x minus 5) = 36
One-half (x + 5) = 36
One-half x + 5 = 36
Answer:
1/2 (x+5) = 36 should be the equation that is used to determine how many rocks George started with.
Step-by-step explanation:
Let 'x' be the number of rocks George had.
As George gave, after getting 5 new rocks, half of his rock collection to Susan which is = 36 rocks
It means after getting 5 new rocks George's total rocks = 72
Given that he gave half collection to Susan = 36
Thus, before inducting 5 new rocks Georg's total rocks were = 67
Thus,
1/2 (x+5) = 36 should be the correct equation.
solving
1/2 (x+5) = 36
Multiplying both sides by 2
1/2 (x+5) × 2 = 36 × 2
x+5 = 72
x = 72 - 5
x = 67
Thus, before getting 5 new rocks, the number of rocks George had = 67
Therefore,
1/2 (x+5) = 36 should be the equation that is used to determine how many rocks George started with.
Answer:
c
Step-by-step explanation:
Help pls :) (15 pts)
Answer:
the y is -2 and there's is no slope i think
Step-by-step explanation:
It is 2.1 km from Jessica's house to the nearest mailbox. How far is it in meters?
Be sure to include the correct unit in your answer.
Answer:
2100 meters
Step-by-step explanation:
REMEMBER: 1 km = 1000 m
2.1 km x 1000= 2100 meters
hope this helps ;)
Please help I give 20 points please no fake answers =/
Answer:
1 4/5
Step-by-step explanation:
pleasee helppp insert two arithnetic means between -5 and 1
Answer:
a₂ = -3
a₃ = -1
Step-by-step explanation:
We have to insert two arithmetic means between -5 and 1
Let a₁ and b₂ be the two arithmetic means between -5 and 1
-5, a₂, a₃, 1
Here,
a₄ = 1a₁ = -5We know that the nth term of an Arithmetic sequence
aₙ = a₁ + (n-1)d
a₄ = -5 + (4-1)d
1 = -5 + 3d
1 + 5 = 3d
3d = 6
Dividing both sides by 2
d = 2
Also
a₂ = a₁ + (2-1)d
a₂ = -5 + d
a₂ = -5 + 2 ∵ d = 2
a₂ = -3
a₃ = a₁ + (3-1)d
a₃ = -5 + 2d
a₃ = -5 + 2(2) ∵ d = 2
a₃ = -5 + 4
a₃ = -1
Thus,
a₂ = -3
a₃ = -1
Thus, the sequence becomes:
-5, -3, -3, 1
John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. A 6-column table with 1 row. Column 1 is labeled Approximate Value with entry 100 dollars. Column 2 is labeled Exact Value with entry 75 dollars. Column 3 is labeled Error with entry 25 dollars. Column 4 is labeled Absolute Error with entry blank. Column 5 is labeled Ratio with entry blank. Column 6 is labeled Percent Error with entry blank. How much was the absolute error in his estimate? $ John spent $75 on a shopping trip for new clothes last week. He had expected to spend $100 on clothes. A 6-column table with 1 row. Column 1 is labeled Approximate Value with entry 100 dollars. Column 2 is labeled Exact Value with entry 75 dollars. Column 3 is labeled Error with entry 25 dollars. Column 4 is labeled Absolute Error with entry blank. Column 5 is labeled Ratio with entry blank. Column 6 is labeled Percent Error with entry blank. How much was the absolute error in his estimate? $
Answer:200
Step-by-step explanation:
All you have to do is add.
Answer:
25
Step-by-step explanation:
because its simple math
anyways have an nice day
Need help wit dis question
Answer:
A
Step-by-step explanation:
you have to count the x and y variables so 1 is one up from the x and 2 right because its positive and 3 is right because its positive also if I get it wrong I'm sorry
To offer scholarships to children of employees, a company invests $10,000 at the end of every 3 months in an annuity that pays 8% compounded quarterly.
a) how much will the company have in scholarship funds at the end of ten years?
b) find the interest
The amount the company will have in scholarship funds at the end of ten years is $604,019.83.
The interest is $204,019.83.
How do we calculate scholarship funds amount and interest?a) The amount the company will have in scholarship funds at the end of ten years can be calculated using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:
FV = P * (((1 + r)^n - 1) / r) ................................. (1)
Where,
FV = Future value or the scholardhip amount after 10 years =?
P = Quarterly payment or payment at the end of every 3 months = $10,000
r = Quaterly interest rate = 8% / 4 = 2%, 0.02
n = number of periods = number of quaters in a year * 10 = 4 * 10 = 40
Substituting the values into equation (1), we have:
FV = $10,000 * (((1 + 0.02)^40 - 1) / 0.02)
FV = $604,019.83
b) The interest can be found as follows:
Total payment = P * n = $10,000 * 40 = $400,000
Interest = FV - Total payment = $604,019.83 - $400,000 = $204,019.83
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Mark had an essay due on Friday. He worked on the essay for 1.5 hours on Thursday and 4.25 hours on Fridays. How many hours did he work on the essay Thursday and Friday combined?
Answer:
He worked for 5.75 hours
Step-by-step explanation:
Give two different names for the line shown in the
diagram below.
Answer: segments and rays
Step-by-step explanation:
select the correct answer
Answer:
a) We get [tex]\mathbf{A+B=x^2-2x+1}[/tex]
So, Is the result of A+B is a polynomial:Yes
b) We get [tex]\mathbf{A-B=6x^3-7x^2+2x-1}[/tex]
So, Is the result of A-B is a polynomial:Yes
c) We get [tex]\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}[/tex]
So, Is the result of A.B is a polynomial:Yes
Step-by-step explanation:
We are giving the polynomial equations:
[tex]A= 3x^2(x-1)\\B=-3x^3+4x^2-2x+1[/tex]
We need to find
a) A+B
[tex]A+B=3x^2(x-1)+(-3x^3+4x^2-2x+1)\\A+B=3x^3-3x^2-3x^3+4x^2-2x+1\\A+B=3x^3-3x^3-3x^2+4x^2-2x+1\\A+B=x^2-2x+1\\[/tex]
So, we get [tex]\mathbf{A+B=x^2-2x+1}[/tex]
So, Is the result of A+B is a polynomial:Yes
b) A-B
[tex]A-B=3x^2(x-1)-(-3x^3+4x^2-2x+1)\\A-B=3x^3-3x^2+3x^3-4x^2+2x-1\\A-B=3x^3+3x^3-3x^2-4x^2+2x-1\\A-B=6x^3-7x^2+2x-1\\[/tex]
So, we get [tex]\mathbf{A-B=6x^3-7x^2+2x-1}[/tex]
So, Is the result of A-B is a polynomial:Yes
c) A . B
[tex]A.B=3x^3(-3x^3+4x^2-2x+1)-3x^2(-3x^3+4x^2-2x+1)\\A.B=9x^6+12x^5-6x^4+3x^3+9x^5-12x^4+6x^3-3x^2\\A.B=9x^6+12x^5+9x^5-6x^4-12x^4+3x^3+6x^3-3x^2\\A.B=9x^6+21x^5-18x^4+9x^3-3x^2[/tex]
So, we get [tex]\mathbf{A.B=9x^6+21x^5-18x^4+9x^3-3x^2}[/tex]
So, Is the result of A.B is a polynomial:Yes
kate used a 30% off coupon to purchase a sweater. if she saved $14.40, what was the original price of the sweater?
What system of equations is shown on the graph below?
On a coordinate plane, 2 lines intersect around (1.8, negative 0.8).
2 x + y = 3 and 3 x minus 4 y = 8
2 x minus y = 3 and 3 x + 4 y = 8
2 x + y = 3 and 3 x minus 4 y = 2
2 x minus y = 3 and 3 x minus 4 y = negative 2
Answer:
i thnk it is c correct me if i am rong
Step-by-step explanation:
Answer:
(C) I got it right
Step-by-step explanation:
on edge
Use slopes to determine if the lines -7x + 3y = 2 and -3x + 7y = 1 are perpendicular
The slopes of the given lines -7x + 3y = 2 and -3x + 7y = 1 are not perpendicular to each other .
The slope of a line is the ratio of how much y increases when x increases by a certain amount. Slope indicates the slope of the line, i.e. how much y increases as x increases. The slope is constant (the same) everywhere along the straight line. The slope intercept of the straight line is used to find the equation of the straight line. The slope intercept formula requires knowing the slope of the line and the intersection of the line with the y-axis. Consider a straight line with slope 'm' and y-intercept 'c'. The slope-intercept shape formula for a straight line with slopes 'm' and 'c' as y-intercept is given as y = mx + c.
We have given two equation of lines -7x + 3y = 2 ....(1) and -3x + 7y = 1 ....(2) 3y = 7x +2
y = 7x/3 +2
On comparing with slope intercept form y = mx + c , we get slope of equation (1) m₁ = 7/3
7y = 3x +1
y = 3x /7 +1
On comparing with slope intercept form y = mx + c , we get slope of equation (2) m₂ = 3/7
If the lines are perpendicular to each other , then their product of slope will be equal to -1 which is given by
m₁ × m₂ = -1
7/3 × 3/7 = -1
1 ≠ -1
Hence the given lines are not perpendicular to each other.
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If Alejandro walks 3 miles in 43 minutes, then how far will Austin walk in 93 minutes?
Answer:
Step-by-step explanation:
43min=3miles
93min=3*93=279/43
austin will walk 6.488miles for 93 minutes
Every month, Theresa sets aside $410.60 of her paycheck to use as spending money. This month, she plans to use 2/5 of her spending money for groceries. How much money would Theresa have this month to spend on items other than groceries?
Answer:
246.36
Step-by-step explanation:
The cost of 5 hats and 1 scarf is $47. The cost of 2 hats and 2 scarves is $40. How much does one hat cost?
Answer:
6.75
Step-by-step explanation:
h=hat, s=scarf
5h + 1s = $47 (equation 1)
2h + 2s = $40 (equation 2)
multiply equation 1 by 2 , we get: 10h + 2s = $94 (equation 3)
equation 3 minus equation 2, we get:
8h = $54 ⇒ h = $6.75 ⇔ 1 hat cost $6.75
substitute h = $6.75 into equation 2 to find s,
2($6.75) + 2s = $40
$13.5 + 2s = $40
2s = $26.5
s = $13.25 ⇔ 1 scarf cost $13.25
I need help thank you
Answer:
[tex]4x^2-x+8[/tex]
Step-by-step explanation:
First expand [tex](x-8)^2[/tex].
[tex](x-8)(x-8)=x^2-16x+64[/tex]
Now Add:
[tex](x^2-16x+64)+(3x^2+15x-56)\\(x^2+3x^2)+(-16x+15x)+(64-56)=\\4x^2-x+8[/tex]
We want this:
3x^2 + 15x - 56 + (x - 8)^2
First, expand (x - 8)^2 using FOIL.
So, (x - 8)^2 = (x - 8)(x - 8).
(x - 8)(x - 8) = x^2 - 16x + 64.
We now add like terms.
3x^2 + 15x - 56 + x^2 - 16x + 64
4x^2 - x + 8
Done.
The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Answer:
the real solutions are the ones that actually cross the x-axis.
so the real solutions are (-5, 0) (-1,0) (4,0) and (8,0)
Divide 2x^4+5x^3+11x^2+8x by x^2+x
What is the value of 9 by the power of 2+ 3 by the power of 3 - 30 divided by 6?
HELP MEH PLS!!! I will give Brainlyest to whoever answers first and correctly. Also tell me if I’m wrong dose this ^ symbol mean division?!?!
I do not know how to do this but i can tell you ^ means exponent not division. So 3^2 would be the same as [tex]3^{2}[/tex]
PLS ANSWER ASAP, 50 POINTS + BRAINLIEST (pls give explanation aswell.
Answer:
pet care will be cheaper
Step-by-step explanation:
pet care may have a higher boarding per day of 2+ more than fido's but the bathing is way higher in fido going 12+more than pet care.its mean ur paying even more in fidos by a total per day of 55 while pet care Per day is 45
boarding(in total)
(week-long vacation)
pet care=30x7=210
fidos=28x7=196
bathing (in total)
pet care=15x7=105
fidos=27x7=189
total cost
pet care=315
fidos=385
You buy tomatoes in 25- pound cases. One batch of cobb salad requires 6 ounces of tomatoes. How many portions can be made with one shipment. Round down don't include parrial portions
Which of these equations represent functions where x is the input and y is the
output
y = 2x-A
y = 2-B
y = 2y-C
x+y = 2-D
x-2-E
Answer:
y=2x-A
Step-by-step explanation:
The Blacktop Speedway is a supplier of automotive parts. Included in stock are 5 speedometers that are correctly calibrated and two that are not. Three speedometers are randomly selected without replacement. Let the random variable
x
represent the number that are not correctly calibrated.
Complete the probability distribution table. (Report probabilities accurate to 4 decimal places.)
x=0,1,2,3
p(x)=
Find the mean of this probability distribution. (Appropriate rounding rules apply.)
mean =
The Probability distribution table is;
x P(x)
0 0.4167
1 0.5
2 0.0833
3 0
How to create probability distribution table?The speedometers are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
P(X = x) = h(x, N, n, k) = C_k,x * C_n - k, n - x)/(C_N,n)
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
In this question:
7 + 2 = 9 speedometers, which means that N = 9
2 are not correctly calibrated, which means that k = 2
3 are chosen, which means that n =3
Complete the probability distribution table.
Probability of each outcome.
P(X = 0) = h(0, 9, 3, 2) = 0.4167
P(X = 1) = h(1, 9, 3, 2) = 0.5
P(X = 2) = h(0, 9, 3, 2) = 0.0833
P(X = 3) = h(0, 9, 3, 2) = 0
Probability distribution table:
x P(x)
0 0.4167
1 0.5
2 0.0833
3 0
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A wire is 32 cm long. The wire is cut into 2 pieces, each piece is bent and formed into the shape of a square
A(x) =
The side of the square shape is calculated as 4cm.
What is meant by square?A square is a subset of a rectangle (an equilateral rectangle) and a subset of a parallelogram (an equilateral and equiangular one).
A square has 4 axes of symmetry and two finite diagonals that are equal (as with any rectangle). A square divided by a diagonal yields two right triangles.As, a wire is 32-centimetre-long,
If we cut this same wire in half, the result should be 1/2 of total of
32/2 = 16
In addition, the square has four equal sides.
16/4 = 4
As a result, the square's sides should be 4 cm.
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The complete question is-
A wire is 32 cm long. The wire is cut into 2 pieces, each piece is bent and formed into the shape of a square. Calculate the side of square.