X is a discrete random variable. The graph below defines a probability distribution for X.
What is the expected value of X?
Answer: 1.1
Step-by-step explanation:
Expected value is the weighted average of the various possibilities and their probability of occurring.
The probabilities represented are:
0.35, 0.35, 0.15 and 0.15.
They add up to:
= 0.35 +0.35 + 0.15 + 0.15
= 1
The possibilities are; 0, 1, 2 and 3.
Expected value = (0.35 * 0) + (0.35 * 1) + (0.15 *2) + ( 0.15 * 3)
= 1.1
A grain dealer sold to one customer 5 bushels of wheat, 2 of com, and 3 of ryo, for $228: to another, 2 of wheat, 3 of corn, and 5 of ryo, for $228, and to a third, 3 of wheat, 5 of com, and 2 of rye, for $228. What was the price per bushel for com?
Answer:
2.30 :) hope this helps!!!!!!! :)
Step-by-step explanation:
w = wheat c = corn r = rye
6w + 3c + 6r = 45.90
3w + 6c + 6r = 49.20
6w + 6c + 3r = 41.40
since you want the answer for c, manipulate then add 2 equations that will get rid of 1 variable:
if we multiply the first equation by -1 then add it to the second equation, it will eliminate the r
-6w - 3c - 6r = - 45.90
3w + 6c + 6r = 49.20
------------------------------------
- 3w +3c = 3.30 or w - c = - 1.10
If we multiply the 3rd equation by -2 then add it to the first equation, it will eliminate the r again:
-12w - 12c - 6r = - 82.80
6w + 3c + 6r = 45.90
------------------------------------------
- 6w - 9c = - 36.90 or 2w + 3c = 12.30
now we have 2 equations and 2 variables that we can solve by substitution:
w = c - 1.10
2(c - 1.10) + 3c = 12.30
2c - 2.20 + 3c = 12.30
5c = 14.50
c = 2.90
w = c - 1.10 or 1.80
3r = 41.40 - 6(1.80) - 6(2.90)
3r = 13.20 r = 4.40
I will pick the 2nd equation to check my answers :)!
3(1.80) + 6(2.90) + 6(4.40) = 49.20
5.40 + 17.40 + 26.40 = 49.20
As per linear equation, the price per bushel for corn is $22.8.
What is a linear equation?A linear equation is an equation that has one or multiple variable with the highest power of the variable is 1.
Given, a grain dealer sold to one customer 5 bushels of wheat, 2 of corn, and 3 of rye, for $228.
To another customer, he sold 2 of wheat, 3 of corn, and 5 of rye, for $228.
To a third customer, 3 of wheat, 5 of corn, and 2 of rye, for $228.
Let, per piece of wheat is of $x.
Per piece of corn is of $y.
Per piece of rye is of $z.
Therefore, 5x + 2y + 3z = 228 ....(1)
2x + 3y + 5z = 228 .........................(2)
3x + 5y +2z = 228 ..........................(3)
Multiplying equation(1) by '2' and equation(2) by '5' and substract, we get:
2(5x + 2y + 3z) - 5(2x + 3y + 5z) = 2(228) - 5(228)
⇒ (10x + 4y + 6z) - (10x + 15y + 25z) = - 3(228)
⇒ (- 11y - 19z) = - 684
⇒ 11y + 19z = 684 ......(4)
Multiplying equation(2) by '3' and equation(3) by '2' and substract, we get:
3(2x + 3y + 5z) - 2(3x + 5y +2z) = 3(228) - 2(228)
⇒ (6x + 9y + 15z) - (6x + 10y + 4z) = 228
⇒ - y + 11z = 228 .......(5)
Now, multiplying equation(5) by '11' and then add with equation (4), we get:
11y + 19z + 11(- y + 11z) = 684 + 11(228)
⇒ 140z = 3192
⇒ z = 22.8
Putting the value of 'z' in equation (5) we get:
- y + 11(22.8) = 228
⇒ y = 22.8
Now, putting the values of 'y' and 'z' in equation (1), we get:
5x + 2(22.8) + 3(22.8) = 228
⇒ 5x = 114
⇒ x = 22.8
Learn more about linear equation here: https://brainly.com/question/22990272
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I need help on finding this answer
Answer:
I think Cube
Step-by-step explanation:
write numbers on the blanks to create a different expression that is equal to (3+4)+5
Answer:
(3+4)+5=12
Step-by-step explanation:
(3 + 4 ) = 7
7 + 5 =
12
A study of the effects of exercise used rats bred to have high or low capacity for exercise. The 8 high-capacity rats had mean blood pressure 89 mm Hg and variance 81 (mm Hg)'; the 8 low-capacity rats had mean blood pressure 105 mm Hg with variance 169 (mm Hg). What is the value of the two-sample t statistic for comparing the two population means
Answer:
T statistic = 0.256
Step-by-step explanation:
Given :
High capacity rats:
nh = 8
Xh = 89
s²h = 81
Low capacity rats :
nl = 8
Xl = 105
s²l = 169
Test statistic :
(Xh - Xl) ÷ Sp(sqrt(1/nh + 1/nl))
Pooled variance (Sp) :
[(nh - 1)s²h + (nl - 1)s²l] ÷ (nh + nl - 2)
[(8 - 1)*81 + (8 - 1)*169] ÷ (8 + 8 - 2)
(7*81 + 7*169) ÷ 14
= 1750 / 14
= 125
Hence,
(89 - 105) ÷ 125(sqrt[1/8 + 1/8)
16 ÷ (125 * 0.5)
16 /62.5
= 0.256
best answer gets a brainliest answer it’s due today
Answer:
b
Step-by-step explanation:
I think b is your answer if not I'm so sorry.
I need the answer please don’t scam with a link
There are 400 pupils in a primary school.
Of the 400 pupils, 88 play a musical instrument.
Express the number of pupils who play a musical instrument as a fraction of the 400
pupils.
Give your answer in its simplest form.
Answer:
11/50
Step-by-step explanation:
[tex] \frac{88}{400} = \frac{11}{50 } [/tex]
Answer:
total number of pupils = 400
number of pupils play musical instruments = 88
number of pupils who play a musical instrument as a fraction form = 88/400
in simplest form = 11/50
Jasmine has $4.90 in quarters, dimes, nickels, and pennies. She has 2 more dimes than quarters. She has 3 more nickels than quarters. She has 4 more pennies than quarters. How many quarters does Jasmine have? Note: A quarter is worth $0.25, a dime is worth $0.10, a nickel is worth $0.05, and a penny is worth $0.01.
Answer:
dw
Step-by-step explanation:
Write the following expression without negative exponents and without parentheses. -3x^-2
Answer: -3/x^2
The negative exponent correlates to the x. In order for the exponent to be positive, it changes from the numerator to the denominator.
Write an expression for "six minus b".
Please help!!
Answer:
6 - b
Step-by-step explanation:
b doesn't have a value.
What is the answer please help no links please no links please no
What’s the correct answer for this question?
Write an expression for the area of each section of the wall.
***NOTE, that x is the TOTAL length of the rectangle so you can't call x the length of each of the 5 sections.
Answer:
50
Step-by-step explanation:
10*5=50
If iis raised to an odd power, then it can not simplify to be
0-1
O-1
Oi
O-1 id k maybe
I tried ok have a great day
The value of i³ will be equal to - i. The correct option is D.
What is a complex function?The functions which are having two parts to the numbers one is the real part and the other is the imaginary part. The imaginary part is written with 'i' called 'iota'.
Multiplying is the process of adding a number to itself a certain number of times. It is possible to think about multiplication as a process of repeated addition.
Given that;
i = √ - 1
Simplify the given value as below,
i = √ - 1
i² = - 1
i³ = - 1 × i
i³ = - i
Hence, the value of i³ is,
⇒ i³ = - i
Learn more about the complex numbers visit:
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The complete question is given below.
If i=1, what is the value of 1³?
A -1
B i
C 1
D -i
The net of a triangular prism is shown
What is the surface area of the prism
A. 46 cm
B. 54 cm
C. 69 cm
D. 72 cm
E. 96 cm
Answer:
D
Step-by-step explanation:
Formula
SA = 2*triangles + 2 * rectangles on the east and west + 1 base rectangle
Triangles
Area = 1/2 * b * h
Area = 1/2 * 6 * 4
Area = 12
But there are 2 of them so the surface area = 24
Base
Area = L * W
Area = 6* 3
Area = 18
Other 2 rectangles
Area one of them = L * W
L = 5
W = 3
Area one of them = 5*3
Area one of them = 15
But there are 2 of them so the area = 2*15 = 30
Total area = 24 + 18 + 30
Total area = 72
D
Robert recently purchased a bond for $1350. The bond has a par value of $1000 and a coupon rate of 4.00%. Based on this
information, you know that Robert's current effective interest rate earned on the bond is
and when the bond matures
he will receive
O 4.00%; $1000.
O 2.96%; nothing.
O 2.96%; $1000.
O 4.00%; $1350.
What is the y-intercept in the graph below?
y
1
Answer:
1
Step-by-step explanation:
y-intercept: the point where the line and the y-axis intersect
Answer:
y-intercept =1
Step-by-step explanation:
The y -intercept of a graph is the point where the graph crosses the y -axis.
12
2 + 8
2
=
-10c + 40c + 32c =
2x + (-5x)=
-23x + 10x =
Answer:
62 c
-3x
-13x are the answer
Answer:
hi
Step-by-step explanation:
-10c + 40c + 32c =62c
2x+(-5x)= -3x
-23x+10x= -13x
hope it helps
have a nice day
Billy has two tables to seat the 12 people.
The top of each table is a rectangle 3 m by 1 m.
Each person sat at a table needs a space of length 1 m.
Billy wants to put the two tables together so that
they touch along one edge
all 12 people can sit at a table. Draw a diagram to show how Billy can put the two tables together.
Use the space below to draw your diagram.
Answer:
What is this I have not understand
I need help please. I need the the discount and selling price. Thank you
At noon, it was -18 degrees in Billings, MT. At the same time, it was 42 degrees in Mesa, AZ.
How much warmer was Mesa than Billings at noon?
Answer:
60℉ Warmer
Step-by-step explanation:
Since it is a negative temperature in Billings, you need to add 18+42 ( The temp in Mesa ) to get 60 because you need to get how much warmer.
Hope that helps
Identify whether each cube root or square root lies between 2 and 3, 4 and 5, or 9 and 10.
Answer:
The cube root and square root are not given, but I'm going to give a chart that might help.
Square roots:
2 = √4
3 = √9
4 = √16
5 = √25
9 = √81
10 = √100
Cube roots:
2 = ^3√8
3 = ^3√27
4 = ^3√64
5 = ^3√125
9 = ^3√729
10 = ^3√1000
Is -5>2 true or false explain your answer
Answer:
It's false
Step-by-step explanation:
it's false because the number that is closer to 0 is the greater number so it would be 2> -5
Quadrilateral ABCD has side lengths of 2, 5, 7, and 12. A new quadrilateral is created, using a scale factor of 0.25. Which of the following are side lengths of the new quadrilateral? Choose all that apply: 1.) 1.75 2.) 3 3.) .75 4.) 5 5.) 2.25 6.) 1.25
Answer:
1, 2, and 6
Step-by-step explanation:
5*.25=1.25 7*.25=1.75 12*.25=3
PLEASE HELP QUICKLY I WILL GIVE BRAINIEST IF U GET IT RIGHT math teacher assigns anywhere from 15 to 35 problems for homework three nights a week. Over the past three weeks, she recorded the number of problems in each assignment and made the box plot shown above. Which of the sets of numbers below matches the given box plot?
A.
Number of Problems: 15, 17, 22, 22, 22, 25, 28, 30, 35
B.
Number of Problems: 15, 20, 22, 22, 23, 25, 28, 30, 35
C.
Number of Problems: 15, 20, 22, 22, 22, 25, 28, 30, 35
D.
Number of Problems: 15, 20, 22, 22, 22, 25, 26, 30, 35
Find the area of the trapezoid:
28 in.
16 in.
21 in.
Help me pls I’m stuck
Answer: 44
Step-by-step explanation:
<R is an inscribed Angle- so if we follow it's ends to the intercepted Arc we are looking at arc NQ
the intercepted arc is 2 times the measure of the inscribed angle, so arc NQ is 44 (22*2)
<O has the same measure as the arc NQ so angle O is 44
Let y = 2t+ 5 be a linear function representing the distance from home for an
ant t minutes after starting out from a location near its home. What does the
number 5 represent in this function?
Answer:
5 represents the distance from the home that the ant started at.
Step-by-step explanation:
5 represents the distance from the home that the ant started at.
The y-intercept is the value of y when x equals 0.
What is the y-intercept of the line with the
equation y= 2x + 8?
Answer:
(0, 8)
Step-by-step explanation:
To find the y- intercept of the line, substitute x= 0 into the equation.
y= 2x +8
When x= 0,
y= 2(0) +8
y= 8
Thus, the y-intercept of the line is (0, 8).