Answer:
The value of E [Z] is 0.50.
Step-by-step explanation:
The expected value is computed using the formula:
[tex]E(X)=\sum x\cdot P(X= x)[/tex]
Denote the three dices as follows:
X₁ = a four-sided die
X₂ = a six-sided die
X₃ = a 12-sided die
Define the indicator variables as follows:
[tex]I_{1}=\left \{ {{1;\ X_{1}=4} \atop {0;\ X_{1}\neq 4}} \right. \\\\I_{2}=\left \{ {{1;\ X_{2}=4} \atop {0;\ X_{2}\neq 4}} \right. \\\\I_{3}=\left \{ {{1;\ X_{3}=4} \atop {0;\ X_{3}\neq 4}} \right.[/tex]
The probability of rolling a 4 in the three dices are as follows:
[tex]P(X_{1}=4)=\frac{1}{4}\\\\P(X_{2}=4)=\frac{1}{6}\\\\P(X_{3}=4)=\frac{1}{12}[/tex]
Compute the value of E [Z] as follows:
[tex]E(Z)=E(I_{1})+E(I_{2})+E(I_{3})[/tex]
[tex]=(1\times\frac{1}{4})+(1\times\frac{1}{6})+(1\times\frac{1}{12})\\\\=\frac{3+2+1}{12}\\\\=\frac{6}{12}\\\\=\frac{1}{2}\\\\=0.50[/tex]
Thus, the value of E [Z] is 0.50.
How do the number line graphs of the solutions sets of -23 > X and X2-23 differ?
One graph uses an open circle, but the other graph uses a closed circle. Also, the rays use arrows that point in
opposite directions, but they have the same endpoint.
They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use open
circles.
O One graph uses an open circle, but the other graph uses a closed circle. Also, the rays have different endpoints, but
they use arrows that point in the same direction.
They use arrows that point in opposite directions, the rays have different endpoints, and both graphs use closed
circles.
Answer:
the answer is A. One graph uses an open circle, but the other graph uses a closed circle. Also, the rays use arrows that point in opposite directions, but they have the same endpoint.
Answer:
A as in apple
Step-by-step explanation:
Choose the scenario that describes a proportional relationship O Miguel earns $7.50 per hour while babysitting O A hotel charges a flat rate of $12.00 to park in their parking lot. O A cellphone plan is $25 plus $0.05 per megabyte, MB, of data usage. O Raphael sells paintings for $200 each at a market, but has to pay $100 to reserve a table
if u answer and its right I help u out kay?
Answer:
A hotel charges a flat rate of 12.00 to a park walk in their parking lot.
Step-by-step explanation:
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 0.8 ft/s, how fast (in rad/s) is the angle (in radians) between the ladder and the ground changing when the bottom of the ladder is 6 ft from the wall?
Answer:
Step-by-step explanation:
480 because you multipy 4 times 8 and than you mulpyy 48 times 10 and that is how i got the number 480.
Answer:
480 because you multiply 4 times 8 and then you multiply 48 times 10 and that is how I got the number 480.
What is the equation of the line in slope-intercept form?
Line on a coordinate plane. Line runs through points begin ordered pair negative 3 comma 0 end ordered pair and begin ordered pair 0 comma 4.
Enter your answer in the boxes.
y =
x +
Answer: x= 3 y=0
x= 0 y=4
Step-by-step explanation: Because the x value is the first number like (3,0) in this 3 is the first number. Y is the second. HOPE IT HELPS!
Answer:
y= 4/3x+4
Step-by-step explanation:
hit me wit that brainliest
Calculate the actual sales since the sales and sales tax were rung up together. Assume sales tax of 6% and total sales of $33,000.
Answer:
the actual sales be $31,132
Step-by-step explanation:
The computation of the actual sales is as follows:
Let us suppose the actual sales be x
Now the sales tax be 0.06x
Now the total sales would be
x + 0.06x = $33,000
1.06x = $33,000
x = $33,000 ÷ 1.06
= $31,132
hence, the actual sales be $31,132
The same is to be considered by applying the above equation
Answer:
actual sales be $31,132
Step-by-step explanation:
The sum of two numbers is 9. Their difference is 21
Answer:
(15, -6)
Step-by-step explanation:
x + y = 9
x - y = 21
x = 9 - y
plug in x into second equation
9 - y - y = 21
9 - 2y = 21
-2y = 12
y = -6
plug in y.
x - (-6) = 21
x + 6 = 21
x = 15
check
15 + (-6) = 9
15 - (-6) = 21
1. Matilde collects blankets for an animal shelter. She fills 9 boxes. There are 10 blankets in each box. How many blankets does Matilde collect for the shelter? *
1 point
A. 9 + 9 = 18 blankets
B. 9 x 10 = 90 blankets
C. 10 + 9 = 19 blankets
D. 10 x 9 = 90 blanket
Answer:
B and D
Step-by-step explanation:
9x10=90
10x9=90
Please help me thank you I’ll mark Brainly
Answer:
C should be your answer if I'm not right then forgive me please.
Step-by-step explanation:
Answer:
B and D
Step-by-step explanation:
At Baceball practice, Asher caught 16 of 20 hits to the out field. Select all of the was of expressing 16 out of 20. a. 3/5 b. 0.8 c.80% d.0.08
Answer:
16 : 20 = 0,8 = 80%
Step-by-step explanation:
pls make me a brinist
On Monday, a restaurant served 54 diet sodas. This was 75% of the total number of sodas served that day. How many sodas did the restaurant serve on Monday?
Find the perimeter. Simplify your answer completely.
Answer:119 4/7
Step-by-step explanation:
2/14+6/14+2/14+4/14+1/14+3/14+4/14= 22/14
10+35+10+12+24+15+12=118
118 22/14
119 8/14
119 4/7
Answer:
119 and 4/7
Step-by-step explanation:
10 + 12 + 15 + 24 + 12 + 10 + 35 = 118.
3/14 + 1/14 = 2/7
1/7 + 2/7 + 2/7 + 2/7 = 1
1/7 + 3/7 = 4/7
118 + 1 + 4/7 = 119 and 4/7
Nikko needs to get his air-conditioner fixed. The repairman will charge Nikko a flat fee
of $50 plus an additional $20 for each hour he needs to work on it.
Write an equation to represent Nikko's total cost to repair his air-conditioner. Use t for total
cost and h for hours.
Answer:
$70
Step-by-step explanation:
50+20=70
The required expression is given for the Nikko is t = 50 + 20h.
Given that,
The repairman will charge Nikko a flat fee of $50 plus an additional $20 for each hour he needs to work on it.
The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.
here,
t is the total cost the repairman charged to Nikko,
h is the number of hours,
repair men charges for h hours = $20h
repair men charge a flat fee of $50.
Total charge, t = 50 + 20h
Thus, the required expression given for the Nikko is t = 50 + 20h.
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The average wage for an electrician in CA is $25.47/hour. That is 11% above the national average. What is the national average?
Answer:
$22.95
Step-by-step explanation:
Last month, Mr. Littleton sold 70, 400 eggs. This month, he sold 5, 934 fewer eggs than last month. a. On paper, draw a tape diagram to represent the number of eggs sold in the two months combined. b. Use rounding to estimate the number of eggs sold in the two months combined. Enter your estimate below. c. Use the standard algorithm to find the exact number of eggs sold in the two months combined. Enter your answer below. About eggs were sold in the two months combined. Exactly eggs were sold in the two months combined.
PLEASE HELP ASAP!!!
1-4
I WILL MARK BRAINLIEST!!!
It’s due in 4 minutes!
Answer/Step-by-step explanation:
Recall that the length of the midsegment of a triangle, is half the length of the third side.
Let's find the following given midsegments as follows:
1. IH = ½*ZX
IH = ½*18
IH = 9
2. PQ = ½*JL
PQ = ½*4
PQ = 2
3. CD = ½*GI
CD = ½*22
CD = 11
4. LK = ½*QS
LK = ½*18
LK = 9
which inequality is shown in the graph below?
Answer:
Step-by-step explanation:
must be the equation
y > x+1
because the slope is 1 and is 1 abve the origin and a dotted line
School lunches cost $87.75 for 5.4 weeks. About how much would the lunches cost per week?
Answer:
16.25
Step-by-step explanation:
divide money by the weeks .
there is a $50 fee to rent out a bouncy house plus $20 per hour write an equation that represents the total amount paid
50x + 20 = y
i did it random sry
If a rectangular patio has a length that is 5 feet longer than its width and a perimeter of 54 feet, solve for the length.
1)17 feet
2)21 feet
3)16 feet
4)11 feet
Answer: (3)
Step-by-step explanation:
In this problem, we don't know the length or width. All we do know is that the length is 5 feet longer than the width, and that the perimeter is 54 feet. Both lengths plus both widths equals the perimeter. To solve this problem, you must give the width, the value of x.
Step 1: Draw a rectangle where the width is x and the length is x + 5.
Step 2: Find the sum of the lengths and the sum of the widths
2 times the length plus 2 times the width equals the perimeter
2(x + 5) + 2(x) = 54
Step 3: Solve for the width
2(x + 5) + 2(x) = 54
2x + 10 + 2x = 54 (Distributive Property)
4x + 10 = 54 (Group Like Terms)
4x = 44 (Subtraction Property of Equality)
4x/4 = 44/4
x = 11 (Division Property of Equality)
x = width = 11
Step 4: Solve for the length
x + 5 = length
11 + 5 = 16
Length = 16. So (3) must be the answer.
i’ll give u brainliest What is the degree measure of x?
Answer:
134 is the ONLY correct answer
Step-by-step explanation:
This is because it is asking for X, not the interior angle that's missing. You do need that angle to find the correct answer.
All triangles are equal to 180 degrees.
180-88-46=46
And all supplementary angles are equal to 180 degrees.
Therefore, 180-46 (as that is the only known angle) makes it 134 degrees.
67, 88 are not correct as one of them isn't obtuse and the other isn't to scale, 111 isn't correct as the math backs up 134 which is also an obtuse angle
.
Janice left the mall with $13.42 she spent $42.89 on a pair of jeans $17.45 on a shirt and $28.93 on a purse how much money did Janice start with
Answer:
$89.27
Step-by-step explanation:
All you do is add all the money she spent.
A random sample of 16 ATM transactions at the Last National Bank of Flat Rock revealed a mean transaction time of 2.8 minutes with a standard deviation of 1.2 minutes. The width (in minutes) of the 95 percent confidence interval for the true mean transaction time is plus/minus (to three decimal places):
Answer:
The width is [tex]W = 1.2786[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 16
The mean time is [tex]\= x = 2.8 \ minute[/tex]
The standard deviation is [tex]s = 1.2 \ minutes[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 16 - 1[/tex]
=> [tex]df = 15[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of df = 15 is
[tex]t_{\frac{\alpha }{2} , 15 } = 2.131[/tex]
Generally the margin of error is mathematically represented as
[tex]E = t_{\frac{\alpha }{2}, 15 } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.131 * \frac{ 1.2 }{\sqrt{16} }[/tex]
=> [tex]E = 0.6393 [/tex]
Generally the width the confidence 95% confidence interval
[tex]W = 2 * E[/tex]
=> [tex]W = 2 * 0.6393[/tex]
=> [tex]W = 1.2786[/tex]
An SRS of 2,500 individuals was taken from a large city to estimate the percentage of city residents with a graduate degree. 555 people in the sample had a graduate degree. The percentage of individuals in the city with a graduate degree is estimated as 22.2%. The estimated standard error is closest to:_______a. 1%b. 10% c. 0.1%
Answer:
The option is b
Step-by-step explanation:
From the question we are told that
The sample size is n = 2500
The number with a graduate degree is k = 555
The sample proportion is [tex]\^ p = 0.222[/tex]
Generally the standard error is mathematically represented as
[tex]SE = \sqrt{\frac{\^ p (1- \^ p )}{n} }[/tex]
=> [tex]SE = \sqrt{\frac{0.222 (1- 0.22 )}{2500 } }[/tex]
=> [tex]SE = 0.010[/tex]
Converting to percentage
[tex]SE = 0.010 * 100[/tex]
=> [tex]SE =10\%[/tex]
Solve absolute value inequality 4>|x+1|+2
Answer:
-3 < x <1
Step-by-step explanation:
4 > | x + 1 | + 2
1. Isolate the absolute value;
Inverse operations;
4 > | x + 1 | + 2
-2 -2
2 > | x + 1 |
2. Remove the absolute value;
The absolute value of a value is the distance it is from zero. This means that when removing the absolute value, one has to account for two possibilities; when the value within the absolute value brackets is negative, and when it is positive. In the case of dealing with absolute value inequalities, one will have to set up an inequality with this in mind.
2 > | x + 1 |
-2 < x + 1 < 2
Inverse operations
-2 < x + 1 < 2
-1 -1
-3 < x < 1
Answer:
-3<x<1
Step-by-step explanation:
Ethan has saved $180 to buy a bicycle which costs $540. He wants to find out how much more he needs to save to buy bicycle. Which equation when solved would show Ethan the amount of money ne needs to save?
If f(x)=-4x+6 fins f(-3)+8
Answer:
f(x) = 26
Step-by-step explanation:
Evaluate the Function
f (x) = −4x + 6 f (−3) + 8
Replace the variable x with −3 in the expression.
f (−3) = −4 ⋅ −3 + 6
Simplify (−4 ⋅ −3 + 6) + 8
Multiply −4 by −3.
12 + 6 + 8
Add 12 and 6.
18 + 8
Add 18 and 8.
26
hope this helps :)
Which linear equation represents the graph? Help assp
Answer:
Step-by-step explanation:
I think its c
Do you love math?
Do you like math?
Answer:
frickk math
Step-by-step explanation:
i will never use it
Find the equation that can represent the situation if the sum of two numbers is 32. We also know that the greater number is 5 more than the smaller number. (5 points)
a
x + (x + 5) = 32
b
x − (x + 5) = 32
c
x(x + 5) = 32
d
x(x − 5) = 32
Answer:
A. x+(x+5)=32
Step-by-step explanation:
Solve the problem.
Kannanaski Rapids drops 70 ft vertically over a horizontal distance of 866 ft. What is
the slope of the rapids?
-0.001
-12.4
-70
-0.081
I need help ASAP :(
Answer:
0.081
Step-by-step explanation:
Given parameters:
Vertical drop = 70ft
Horizontal distance = 866ft
Unknown:
Slope of the rapids =?
Solution:
Slope is the rise or vertical height divide by the horizonal distance.
Slope = [tex]\frac{vertical drop}{horizontal distance}[/tex]
Insert the parameters and solve;
Slope = [tex]\frac{70}{866}[/tex] = 0.081
Based on the information given the slope of the rapids is 0.081.
Slope of the rapids:Using this formula
Slope of the rapids=Vertically rapid drop/Horizontal distance
Let plug in the formula
Slope of the rapids=70ft/866ft
Slope of the rapids=0.0808
Slope of the rapids=0.081 (Approximately)
Inconclusion the slope of the rapids is 0.081.
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