Answer:
$67.64
Step-by-step explanation:
[tex]57.32*1.18=67.6376\\[/tex]
Rounding it off to the nearest cent, we get $67.64.
Does anyone have the link to this or have the pages please help
Answer:
I personally don't, but if you search up graph helper you could answer all of them. Hope you find the answer.
Step-by-step explanation:
Let X be a normal random variable with mean 3 and variance 4. (a) Find the probability P(2 < X < 6). (b) Find the value c such that P(X > c) = 0.33. (c) Find E[X2 ]. Hint: You can integrate with the density function, but it is quicker to relate E[X2 ] to the mean and variance.
Answer:
a) the probability of (2 < X < 6) is 0.6247
b) the value of c is 3.878
c) the value of E[ x² ] is 13
Step-by-step explanation:
Given that;
mean μ = 3
variance = 4
standard deviation s = √variance = √4 = 2
(a) Find the probability P(2 < X < 6)
P(2 < X < 6) = p( (x - μ / s ) < z < (x - μ / s ) )
= p( (2 - 3 / 2 ) < z < (6 - 3 / 2 ) )
= p( -0.5 < z < 1.5)
from z-score table, 1.5; z = 0.9332 and -0.5; z = 0.3085
so
P(2 < X < 6) = 0.9332 - 0.3085 = 0.6247
Therefore, the probability of (2 < X < 6) is 0.6247
b) Find the value c such that P(X > c) = 0.33
with p-value = 0.33, the corresponding z -score to the right is 0.439
we know that;
z = x - μ / s
we substitute
0.439 = x - 3 / 2
x - 3 = 2 × 0.439
x - 3 = 0.878
x = 0.878 + 3
x = 3.878
Therefore, the value of c is 3.878
c) Find E[ x² ].
Variance = E[ x² ] - [ mean ]²
E[ x² ] = Variance + [ mean ]²
we substitute
E[ x² ] = 4 + [ 3 ]²
E[ x² ] = 4 + 9
E[ x² ] = 13
Therefore, the value of E[ x² ] is 13
The distribution follows a normal distribution.
[tex]\mathbf{P(2 < x < 6) =0.6247}[/tex]The value of c is 3.878The value of [tex]\mathbf{E(x^2) }[/tex] is 13The given parameters are:
[tex]\mathbf{\mu = 3}[/tex] --- mean
[tex]\mathbf{\sigma^2= 4}[/tex] --- variance
(a) P(2 < x < 6)
Start by calculating the standard deviation
[tex]\mathbf{\sigma = \sqrt{\sigma^2}}[/tex]
This gives
[tex]\mathbf{\sigma = \sqrt{4}}[/tex]
[tex]\mathbf{\sigma =2}[/tex]
Calculate the z-scores for x = 2 and 6
[tex]\mathbf{z = \frac{x - \mu}{\sigma}}[/tex]
So, we have:
[tex]\mathbf{z = \frac{2 - 3}{2} = -0.5}[/tex]
[tex]\mathbf{z = \frac{6 - 3}{2} = 1.5}[/tex]
So, the probability becomes
[tex]\mathbf{P(2 < x < 6) = P(-0.5 < z < 1.5)}[/tex]
Using z table of probabilities, we have:
[tex]\mathbf{P(2 < x < 6) =0.9332 - 0.3085}[/tex]
[tex]\mathbf{P(2 < x < 6) =0.6247}[/tex]
(b) Calculate c if P(X > c) = 0.33
Start by calculating the z-score for p-value = 0.33
From the z table, z = 0.439 when p-value = 0.33
Recall that:
[tex]\mathbf{z = \frac{x - \mu}{\sigma}}[/tex]
So, we have:
[tex]\mathbf{0.439 = \frac{x - 3}{2}}[/tex]
Multiply both sides by 2
[tex]\mathbf{0.878= x - 3}[/tex]
Add 3 to both sides
[tex]\mathbf{3.878= x}[/tex]
Rewrite as:
[tex]\mathbf{x = 3.878}[/tex]
Replace x with c
[tex]\mathbf{c = 3.878}[/tex]
The value of c is 3.878
(c) Calculate E[x²]
The variance of a dataset is:
[tex]\mathbf{\sigma^2 =E(x^2) - \mu^2}[/tex]
Substitute known values
[tex]\mathbf{4 =E(x^2) - 3^2}[/tex]
[tex]\mathbf{4 =E(x^2) - 9}[/tex]
Add 9 to both sides
[tex]\mathbf{13 =E(x^2) }[/tex]
Rewrite as:
[tex]\mathbf{E(x^2) = 13 }[/tex]
Hence, the value of [tex]\mathbf{E(x^2) }[/tex] is 13
Read more about normal random variables at:
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You've decided to give your best friend a
bag of marbles for his birthday.
Since you know that your friend likes
green marbles better than red ones, the
bag has twice as many green marbles as
red.
The label on the bag says it contains a
total of 84 marbles.
How many green marbles are in the bag?
Number of green marbles in the bag is equals to [tex]56.[/tex]
What is number?
" Number is defined as the count of any given quantity as per condition."
According to the question,
Given,
Total number of marbles [tex]= 84[/tex]
[tex]'x'[/tex] represents the number of red marbles
As per given condition,
[tex]'2x'[/tex] represents the number of green marbles
Required equation we have,
[tex]x + 2x = 84\\\\\implies 3x =84\\\\\implies x = \frac{84}{3} \\\\\implies x = 28[/tex]
Substitute the value of [tex]'x'[/tex] to get number of green marbles ,
Number of green marbles [tex]2x = 2\times 28[/tex]
[tex]= 56[/tex]
Hence, number of green marbles in the bag is equals to [tex]56.[/tex]
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If you are given side lengths of 6 cm and 9 cm and a 70 angle, Can you form
a. Unique triangle
b. More than one triangle
C. No triangle
Willy the Wombat is 50 feet from a tree. The tree is 75 feet tall. At what angle of elevation should Willy look to see the top of the tree? Round to the nearest degree
HELP PLEASE I GOT CACA WIFI
Question-
If x = 4 units, y = 8 units, and h = 7 units, find the area of the parallelogram shown above using decomposition.
answer choices-
A. 28 square units
B. 56 square units
C. 84 square units
D. 112 square units
Answer:28
Step-by-step explanation:
hope this helpes
Which polynomial represents the sum below? (-x^3 + 3x^2 + 3) + (3x^2 + x + 4)
Answer:
Cddd
Step-by-step explanation:
Firemen are using a 60-foot ladder to reach
the top of a 45-foot building.
B
60 ft
45 ft
a. Calculate the distance from the bottom
of the ladder to the base of the building.
Round your answer to the nearest tenth.
b. Use the cosine ratio to compute the
measure of the angle formed where the
ladder touches the top of the building.
Round your answer to the nearest tenth.
Answer:
This might help a liitle its kind of like the question you are asking.You might not want to give people 5 points for a long question because most of them might not awnser.Step-by-step explanation:
Find the solutions to x2 = 18.
O A.
- +32
B. X = +63
O c. X = +376
O D. X = +2/3
Answer:
what in the math equations is this???
Step-by-step explanation:
jojo makes 100 working eight hours. Trish earned 25 working one hour. How much more money does Trish make than Jojo after 10 hours?
Answer:
Jojo makes 1000 and Trish makes 250
Step-by-step explanation:
I hope this helped
Answer:
Trish makes $125 more than Jojo after 10 hours
Step-by-step explanation:
$125 jojo
$250 Trish
Help ASAP please!
The question is attached
Answer:Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?Nora is going to invest $9,600 and leave it in an account for 8 years.Assuming the interest is compounded continuously, what interest rate,to the nearest hundredth of a percent, would be required in order forNora to end up with $14,400?
(2,3), y = (3/2)x - 1
I'm just as confused as you are
Cab A charges $20 at the start and $5 every mile after . Cab B charges $30 no matter how far you go. What are their initial values and their rates of change? When will their fares be equal?
Answer:
Car A: Initial Charge = 20
Car B: Initial Charge = 30
Car A: Rate = 5
Car B: Rate = 0
At 2 miles, their charges will be the same
Step-by-step explanation:
Given
Car A
[tex]Base\ Charge = \$20[/tex]
[tex]Rate = \$5[/tex] per mile
Car B
[tex]Base\ Charge = \$30[/tex]
Solving (a): The initial charge
First, we get the linear equation that represents both car's charges.
Represent number of miles with m.
So, the charges is:
Car A
[tex]A = Base\ Charge + Rate * m[/tex]
[tex]A = 20 + 5 * m[/tex]
[tex]A = 20 + 5m[/tex]
Set m to 0 to get the initial charge:
[tex]A = 20 + 5*0[/tex]
[tex]A=20[/tex]
and
[tex]Rate = 5[/tex]
Car B:
[tex]B = Base\ Charge + 0 * m[/tex] i.e. Rate is 0
[tex]B = 30+ 0 * m[/tex]
[tex]B = 30[/tex]
So:
[tex]Initial = 30[/tex] and [tex]Rate = 0[/tex]
Solving (b): When their charge wil be equal.
To do this, we set:
[tex]A = B[/tex]
[tex]20 + 5m = 30[/tex]
[tex]5m = 30- 20[/tex]
[tex]5m = 10[/tex]
[tex]m = 2[/tex]
At 2 miles, their charges will be equal
Select the correct answer.
The equation of a line is y = -3x – 2. What are the slope and the y-intercept of the line?
A.
slope = -3 and y-intercept = 2
B.
slope = 3 and y-intercept = -2
C.
slope = 3 and y-intercept = 2
D.
slope = -3 and y-intercept = -2
Answer:
The answer is D slope = -3 y-intercept = -2
Step-by-step explanation:
Answer
D.
Step-by-step explanation:
The first part of the equation is -3 and the second part is -2. The number attached to the variable is the "slope" and the number coming after the variable is the y intercept.
What shape is this cross-section?
Answer:
Square
Step-by-step explanation:
From what it looks like I think it is a square
Answer:
C. Square
Step-by-step explanation:
The cross section is the surface that would be exposed if the shape was cut by that other shape. If that cube was cut like that, then the surface would be a square.
ASAP!! Find the length of side x in simplest form with a rational denominator
Answer:
[tex]x=\sqrt{14}[/tex]
Step-by-step explanation:
This triangle is a 45-45-90 triangle.
By using the image I posted, we can find x easily.
So, we have [tex]\sqrt{7}[/tex] as one of the sides.
They hypotenuse, which is x is just [tex]\sqrt{7} \sqrt{2}[/tex]
Simplify and we get x = [tex]\sqrt{14}[/tex]
A giant panda lives in the Washington, DC zoo. What does the point shown tell you about the panda?
Answer:
he is 36 months old or 3 years old, and he ways 82 kilograms.
Step-by-step explanation:
quick mafs
The point shown in the graph tell about the panda which lives in the Washington, DC zoo that the age of panda is 36 months and the weight of panda is 82 kilograms.
How to read the data from the graph?In a graph, the line which is horizontal is known as the x-axis of the graph. The vertical line in the graph is called the y-axis of it. These axis helps to read the data from graph in following way-
The value of a point parallel to x axis in graph gives the value x-value. It is the value of parameter which is titled on x-axis.The value of a point parallel to y axis in graph gives the value y-value. It is the value of parameter which is titled on y-axis.In the given graph, the x-axis is labeled with age in months and y-axis is labeled with weight of panda.
The point with coordinates (36,82) tells that the age of panda is 36 months and the weight of the panda is 82 kilograms.
Hence, the point shown in the graph tell about the panda which lives in the Washington, DC zoo that the age of panda is 36 months and the weight of panda is 82 kilograms.
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Nora is going to invest $9,600 and leave it in an account for 8 years.
Assuming the interest is compounded continuously, what interest rate,
to the nearest hundredth of a percent, would be required in order for
Nora to end up with $14,400?
Answer:
The answer is 5.07%, I just did this :)
detrmine if 7, 5, 84, 48 are in proportion or not
Answer:
No, the numbers are not in proportionStep-by-step explanation:
The proportion between the first two and the second two numbers are:
7/5 and 84/48Simplifying the second fraction:
84/48 = 7*12/4*12 = 7/4Comparing the fractions:
7/5 ≠ 7/4The answer is no
Need help with the last part I know I need to do 55x+60 = ? But I don’t know what ? Is
Answer:
- Discount car rentals charges less daily
- After 3 days
Step-by-step explanation:
Required
Which charges less per day
When is the total cost the same
First, calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the table, we have:
[tex](x_1,y_1) = (2,185)[/tex]
[tex](x_2,y_2) = (6,345)[/tex]
So, we have:
[tex]m = \frac{345 - 185}{6 - 2}[/tex]
[tex]m = \frac{160}{4}[/tex]
[tex]m = 40[/tex]
The equation is then calculated as:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 40(x - 2) + 185[/tex]
[tex]y = 40x - 80 + 185[/tex]
[tex]y = 40x + 105[/tex]
So, the equation of the table (i.e. Discount Car rental) is: [tex]y = 40x + 105[/tex]
While the equation of Pay Less is: [tex]y = 55x + 60[/tex]
The company that charges less per day has the smaller slope and that is: Discount car rental because the slope (40) is less than the slope (55)
For the total cost to be the same, we simply equate both expressions:
i.e.
[tex]y = y[/tex]
[tex]55x + 60 = 40x + 105[/tex]
[tex]55x - 40x = - 60 + 105[/tex]
[tex]15x =45[/tex]
[tex]x = 3[/tex]
What is the area of this circle? Use 3.14 for π
Question 7 options:
530.66 cm squared
81.64 cm squared
2122.64 cm squared
849.56 cm squared
Answer:
530.66 cm squared
Step-by-step Explanation:
Diameter of the circle = 26 cm
Radius of the circle (r) = 26/2 = 13 cm
[tex]A_{circle} = \pi {r}^{2} \\ \\ A_{circle} = 3.14 \times {(13)}^{2} \\ \\ A_{circle} = 3.14 \times 169 \\ \\ A_{circle} =530.66 \: {cm}^{2} [/tex]
Answer:
The area of 530.66 cm squared.
Option (a) 530.66 cm² is the correct answer.
Step-by-step explanation:
Given :
Diameter of circle = 26 cm.To Find :
Radius of circle Area of circleUsing Formulas :
[tex]\star{\small{\underline{\boxed{\sf{\red{R = \dfrac{D}{2}}}}}}}[/tex]
R = Radius D = Diameter[tex]\star{\small{\underline{\boxed{\sf{\red{Area_{(Circle)} = \pi{r}^{2}}}}}}}[/tex]
π = 3.14 r = radiusSolution :
Finding the radius of circle by substituting the values in the formula :
[tex]{\longrightarrow{\sf{Radius = \dfrac{D}{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Radius = \dfrac{26}{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Radius = \cancel{\dfrac{26}{2}}}}}[/tex]
[tex]{\longrightarrow{\sf{Radius = 13}}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{Radius = 13 \: cm}}}}}[/tex]
Hence, the radius of circle is 13 cm.
[tex]\rule{200}2[/tex]
Now, finding the area of circle by substituting the values in the formula :
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \pi{r}^{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = 3.14 \times {(13)}^{2}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314}{100} \times {(13 \times 13)}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 169}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314 \times 169}{100}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{53066}{100}}}}[/tex]
[tex]{\longrightarrow{\sf{Area_{(Circle)} = 530.66}}}[/tex]
[tex]\star{\small{\underline{\boxed{\sf{\red{Area_{(Circle)} = 530.66 \: {cm}^{2}}}}}}}[/tex]
Hence, the area of circle is 530.66 cm².
[tex]\rule{300}{1.5}[/tex]
4/5 - 2/3 =
Find equivalent fractions and rewrite the problem and solve
Answer:
1001/1500
Step-by-step explanation:
The easiest method for doing this is to just average the two numbers.
e.g. to find a number x between the two numbers ab and cd
x=12[ab+cd]
=12[adbd+bcbd]
=ad+bc2bd
In this case…
x=(2×5)+(3×4)2×2×5=10+1230=2230=1115
You can easily see where that came from.
23=1015 and 45=1215
and the ‘common denominator’ means you just have to pick a value between 10 and 12 . i.e. 11
But you can also say…
23=100150 and 45=120150
and choose any of 101150,102150,...,119150
or
23=10001500 and 45=12001500
and choose any of 10011500,10021500,...,11991500
Answer:4/5 and 2/3 each have a common bottom of 15 so 4/5 is
12/15 and 2/3 will be 10/15
Step-by-step explanation:So than 12/15 forget the bottom don't subtract the bottom just look at it like [12-10] then you got 2 then you go back to the bottom and put it together so your answer is [2/15]
si un avión buela a 1200 pies de altura ¿a cuantos metros de altura se encuentra?
(1 pie=30.5 CM)
Answer:
30.5x1200=36600
r=el avion vuela a 36.600m de altura
Which of the following expressions is equivalent to: 4x-12 *
16x
O
-8x
4(x-3)
O
4 + X-12
O
4(x-12)
Answer:
4(x - 3)
Step-by-step explanation:
4x = 4 * x
12 = 4 * 3
GCF = 4
4x - 12 = 4*x - 4*3
= 4(x - 3)
the second one.
............................
How many applications will your mother actually use on her new cell phone?
Solve the equation you wrote in part b to find the unknown variable. (2 points)
Answer:
24
Step-by-step explanation:
In ΔABC, the measure of ∠C=90°, the measure of ∠B=15°, and BC = 2.8 feet. Find the length of CA to the nearest tenth of a foot.
Answer:0.8 feet
Step-by-step explanation:got it right
The radius of a circle is 15.2 ft. Find the circumference to the nearest tenth.
Mr. Ferguson's classroom is 30 ft long, 20 ft wide, and 10 ft tall. There are 3 concrete
columns in the room. Each column is 10 ft tall with a radius of 2 ft. What is the
volume of the classroom without the columns?
Rectangular Prism: V = lwh
Cylinder: V = tirah
Type a number only for your answer - no units.
Example 525.89
Answer:
they all went to the stairs
Step-by-step explanation:
67.90 I don't know u tell me
x
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>
The probability of drawing a blue ball from Bag A is 1/5 and the
probability of drawing a red ball from Bag B is 2/3.
What is the probability of drawing a blue ball from Bag A AND a red
ball from Bag B?
Answer:
the probability of drawing a blue ball from bag A is 1/5 and the probability of drawing a red ball from bag B is 2/3.
The probability of drawing a blue ball from Bag A and a red ball from Bag B will be 2/15.
What is the definition of probability?
Probability denotes the likelihood of something happening. It is concerned with the occurrence of an unpredicted event.
Probability can only have a value between 0 and 1. Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of events is known as the favorable event ratio.
The probability of drawing a blue ball from Bag A is, 1/5
The probability of drawing a red ball from Bag B is, 2/3.
P(A)=1/5
P(B)=2/3
The probability of drawing a blue ball from Bag A and a red ball from Bag B will be;
P(A and B)=P(A). P(B)
P(A and B)=(1/5)×(2/3)
P(A and B)=(2/15)
Hence,the probability of drawing a blue ball from Bag A and a red ball from Bag B will be 2/15.
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Estimate the product of 3.8 and 11.9 rounding.
Answer:
48
Step-by-step explanation:
round off 3.8 to 4 and 11.9 to 12 and multiply the values