A cylinder has a radius of 1 inch and height of 1 inch.
What is the approximate volume of a cylinder?
volume = PI * radius^2* height
3.14 x 1^2 x 1
v=3.14 cubic inches
Write the standard form of the line that has a slope of - and y-intercept of -2. Include your work in your final answer. Type your answer in the box provided or use the upload option to submit your solution.
A house cost $120,000 when it was purchased. The value of the house increases by 10% each year. Find the rate of growth each month and select the correct answer below.
Graph the line y = -1/4x+2.
a. Sketch the line that is perpendicular to y = -1/4x+2 that passes through the point (5,5)
b. Write the equation of the perpendicular line.
c. Where do the lines intersect?
Carmen is going to roll an 8-sided die 200 times. She predicts that she will roll a multiple of 4 twenty-five times. Based on the theoretical probability, which best describes Carmen’s prediction?
Answer:
Carmen's prediction is low because 200 times is 50.
Step-by-step explanation:
First of all we are going to define the sample space for this exercise.
The sample space is Ω = {1,2,3,4,5,6,7,8}
Given the event A : ''Roll an 8-sided die an get a multiple of 4''
The probability for the event A is
Because they are two numbers (4 and 8) over a total of eight numbers (1,2,3,4,5,6,7,8) that are multiple of 4.
Now, given the random variable X : ''Total of numbers multiples of 4 If she rolls
an 8-sided die 200 times''
X can be modeled as a Binomial random variable.
X ~ Bi (n,p)
X ~ Bi (200,)
In which n is the total times she rolls the 8-sided die and p is the success probability. We define a success as obtain a number multiple of 4.
The mean for this variable is
We answer that Carmen's prediction is low because 200 times is 50.
An elevator descends into a mine shaft at the rate of 6 m/min. If the descendstarts from 20 meter above the ground level, how long will it take to reach - 340m?
Evaluate the function f(x) = 4x -1 when x= -1 ..... f(-1) =___
To evaluate the function f(x) = 4x - 1 for x=-1, you first substitute -1 into the equation, then perform multiplication before subtraction as per the order of operations resulting in f(-1) = -5.
Explanation:To evaluate the function f(x) = 4x - 1 when x is -1, we simply replace the variable x in the equation with -1. The equation becomes f(-1) = 4(-1) - 1.
Now to perform the operations indicated in the equation, we should start with multiplication before subtraction according to the order of operations.
The multiplication of 4 and -1 gives -4 so the equation becomes f(-1) = -4 - 1.
Finally subtracting 1 from -4 gives -5. Therefore, f(-1) = -5.
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A number is *K* units to the left of 0 on the number line. Describe the location of its opposite
Mark owns Siberian Husky sled dogs. He knows from data collected over the years that the weight of the dogs is a normal distribution. They have a mean weight of 52.5 lbs and a standard deviation of 2.4 lbs. What percentage of his dogs would you expect to have a weight between 47.7 lbs and 54.9 lbs?
To calculate the percentage of dogs with a weight between 47.7 lbs and 54.9 lbs, we need to use the properties of the normal distribution. We can expect that around 82.7% of Mark's dogs would have a weight within this range.
Explanation:To calculate the percentage of dogs with a weight between 47.7 lbs and 54.9 lbs, we need to use the properties of the normal distribution. We know that the mean weight is 52.5 lbs and the standard deviation is 2.4 lbs.
First, we need to standardize the lower and upper bounds of the weight range using the formula: z = (x - mean) / standard deviation. For the lower bound, z = (47.7 - 52.5) / 2.4 = -1.96. For the upper bound, z = (54.9 - 52.5) / 2.4 = 1.
Next, we can use a standard normal distribution table or calculator to find the percentage of values between -1.96 and 1. The percentage is approximately 82.7%. Therefore, we can expect that around 82.7% of Mark's dogs would have a weight between 47.7 lbs and 54.9 lbs.
Using the normal distribution, calculations of z-scores, and a z-table to determine probabilities, we can expect approximately 81.85% of Mark's Siberian Husky sled dogs to weigh between 47.7 lbs and 54.9 lbs.
Explanation:To determine the percentage of Mark's Siberian Husky sled dogs that weigh between 47.7 lbs and 54.9 lbs, we need to use the properties of the normal distribution. The mean weight of the dogs is 52.5 lbs and the standard deviation is 2.4 lbs. We can calculate the z-scores for 47.7 lbs and 54.9 lbs:
Z = (X - μ) / σ
For 47.7 lbs:
Z1 = (47.7 - 52.5) / 2.4 ≈ -2.0
For 54.9 lbs:
Z2 = (54.9 - 52.5) / 2.4 ≈ 1.0
Using a z-table or a statistical software, we can find the probabilities corresponding to these z-scores. The probability between Z1 and Z2 is the area under the curve in this range.
The probabilities associated with the z-scores are approximately 2.28% for Z1 (< -2.0) and 84.13% for Z2 (< 1.0). To find the percentage between Z1 and Z2, we subtract the smaller percentage from the larger one:
Percentage between 47.7 lbs and 54.9 lbs = 84.13% - 2.28% = 81.85%
Thus, we would expect that 81.85% of Mark's dogs have a weight between 47.7 lbs and 54.9 lbs.
Solve for w. 3w – 10 = -w – 8 + 3w
If tan x° = 11 divided by r and cos x° = r divided by s, what is the value of sin x°?
Answer:
[tex]sin x = \frac{11}{s}[/tex]
Step-by-step explanation:
[tex]Tan x = \frac{11}{r}[/tex]
[tex]Cos x = \frac{r}{s}[/tex]
Property : [tex]\frac{sin \theta}{cos \theta}=Tan \theta[/tex]
So, [tex]\frac{sinx}{cosx}=Tan x[/tex]
Substitute the values
[tex]\frac{sinx}{ \frac{r}{s}}=\frac{11}{r}[/tex]
[tex]sinx =\frac{11}{r} \times \frac{r}{s}[/tex]
[tex]sinx =\frac{11}{s}[/tex]
Hence the value of sin x° is [tex]\frac{11}{s}[/tex]
What is the perimeter of a square with a side length of 5x -8 and a bottom length of 3x of a square?
The required perimeter of the square is 48 units as of the given condition.
Given that,
The perimeter of a square with a side length of 5x -8 and a bottom length of 3x of a square is to be determined.
Perimeter is the measure of the figure on its circumference.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The length of all sides of the square is always remains equal,
5x - 8 = 3x
2x = 8
x = 4
Side length,
3x = 3(4) = 12
Now,
The perimeter of the square is 4-time sides,
Perimeter = 4 (12)
Perimeter = 48 units.
Thus, the required perimeter of the square is 48 units as of the given condition.
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Does any one know how to solve this -4n^2-2n=-6-7n-5n^2
what is the answer to this equation 2(3-X)=-16
Rationalize the denominator of sqrt of -49 over (7-2i)-(4+9i)
When BA = 10 ft, find the area of the region that is NOT shaded. Round to the nearest whole number.
A) 52 ft^2
B) 262 ft^2
C) 43 ft^2
D) 305 ft^2
Justin is a software salesman. his base salary is $1500 , and he makes an additional $40 for every copy of english is fun he sells. let p represent his total pay (in dollars), and let n represent the number of copies of english is fun he sells. write an equation relating p to n . then use this equation to find his total pay if he sells 23 copies of english is fun.
Koch's kinky curve is created by starting with a straight segment and replacing it with four segments, each 1/3 as long as the original segment. So, at the second stage the curve has three bends. At the next stage, each segments replaced by four segments, and so on. How many bends does this curve have at the third stage? The fourth stage? The nth stage?
A librarian randomly selects 25 returned books one day and finds that three of them were returned late. based on this sample, how many of the 410 returned books that day are likely to be late returns?
Why is the mean greater than the median in right skewed?
A copy center offers its customers two different pricing plans for black and white photocopies of 8.5 in. by 11 in. pages. Customers can either pay $0.08 per page or pay $7.50 for a discount card that lowers the cost to $0.05 per page. Write and solve an equation to find the number of photocopies for which the cost of each plan is the same.
A) .08c .05c - 7.50; c = 250
B) . 05c .08c + 7.50; c = 22.5
C) 7.50 = .08c + 05c; c = 58
D) .08c = .05c + 7.50; c = 250
Answer: Writting the equation and solving it, the answer is option D) .08c = .05c + 7.50; c = 250
Solution:
If the number of photocopies is c
Plan 1: Customers can pay $0.08 per page
The cost with plan 1 is: C1=0.08c
Plan 2: Customers can pay $7.50 for a discount card that lowers the cost to $0.05 per page.
The cost with plan 2 is: C2=7.50+0.05c
We want to find the number of photocopies for which the cost of each plan is the same, then we equal the cost of each plan:
C1=C2
Replacing C1 by 0.08c and C2 by 7.50+0.05c
0.08c=7.50+0.05c
Solving this equation for c: Subtracting 0.05c both sides of the equation:
0.08c-0.05c=7.50+0.05c-0.05c
Subtracting:
0.03c=7.50
Dividing both sides of the equation by 0.03
0.03c/0.03=7.50/0.03
c=250
Answer:
.08c = .05c + 7.50; c = 250
Step-by-step explanation:
i got a 100 on the test trust!
STVU is an isosceles trapezoid. If SV = 3x + 1 and TU = x + 21, find the value of x.
Answer:
The value of x is 10.
Step-by-step explanation:
Given information: STVU is an isosceles trapezoid, SV = 3x + 1 and TU = x + 21.
According to the properties of isosceles trapezoid, then diagonals of an isosceles trapezoid are equal.
SV and TU are diagonals of the isosceles trapezoid, so
[tex]SV=TU[/tex]
[tex]3x+1=x+21[/tex]
Separate like terms.
[tex]3x-x=21-1[/tex]
[tex]2x=20[/tex]
Divide both sides by 2.
[tex]x=10[/tex]
Therefore the value of x is 10.
At a certain time of the day, a tree 15m tall casts a shadow of 12m, while a second tree casts a shadow of 20m. how tall is that?
Students were asked to measure a string as part of a physics experiment. The actual length of the string was 7.35 cm long. Which of the following groups of data show measurements from the most accurate group and why?
7.35 cm, 7.82 cm, 7.12 cm, because one of the measurements is closest to the actual length.
6.95 cm, 6.93 cm, 6.97 cm, because these have the most agreement between the measurements.
7.32 cm, 7.37 cm, 7.39 cm, because this group’s measurements are closest to the actual length. - My answer
7.90 cm, 7.91 cm, 7.89 cm, because these have the most agreement between the measurements.
Iliana was part of a group that was working on changing 0.4 repeated to a fraction. Each member of the group had a different answer. Which answer is correct?
Iliana was part of a group that was working on changing 0.4 repeated to a fraction. The answer is 2.25.
How to convert percent to fraction and decimal?Percentage counts the number compared to 100.
So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get:
For each 1, there are a/100 parts.
Iliana was part of a group that was working on changing 0.4 repeated to a fraction.
Each member of the group had a different answer.
Let x be 0.444444[tex]\bar 4[/tex]
So,
4 / 10 = 0.4
4 / 9 = 0.4444444...
9/ 4 = 2.25
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(05.02)
Two quantities are related, as shown in the table:
x
y
2 3
4 4
6 5
8 6
Which equation best represents the relationship?
y = 1 over 2 x + 2
y = 1 over 2 x + 1
y = x + 2 y = 2x + 1
first equation y=1/2x +2
x=2 = 1/2(2) +2 =1+2 =3
x=4 = 1/2(4)+2 = 2+2 =4
first equation is the answer
Answer:
[tex]y=\dfrac{1}{2}x+2[/tex]
A is correct
Step-by-step explanation:
Given: Table of x and y
x : 2 4 6 8
y : 3 4 5 6
Using two point find the slope:
(2,3) and (4,4)
[tex]Slope=\dfrac{4-3}{4-2}[/tex]
[tex]\text{Slope }=\dfrac{1}{2}[/tex]
Now we find slope using last two point
(6,5) and (8,6)
[tex]\text{Slope }=\dfrac{6-5}{8-6}[/tex]
[tex]\text{Slope }=\dfrac{1}{2}[/tex]
Slope is equal. Thus, The given relation is linear.
[tex]y-3=\dfrac{1}{2}(x-2)[/tex]
[tex]y=\dfrac{1}{2}x+2[/tex]
Hence, The relation represents a linear equation [tex]y=\dfrac{1}{2}x+2[/tex]
juanita and lauren are painting a circular mural on one wall of the community center the area of the mural is 88 square meters what is the radius.
Answer:
Radius of circular mural = 5.29 m
Step-by-step explanation:
Area of circle is given by πr².
Juanita and Lauren are painting a circular mural on one wall of the community center the area of the mural is 88 square meters
Area of circle = 88 square meters
That is
πr² = 88
[tex]r^2=\frac{88}{\pi}=28.01\\\\r=5.29m[/tex]
Radius of circular mural = 5.29 m
Find the GCF. 18x 3 and 30x 5
A.
6x 5
B.
90x 3
C.
6x 3
D.
90x 5
The two-way table shows the number of students in a school who have hamsters and/or dogs as pets.
Have Hamsters
Do Not Have Hampsters
Total
Have Dogs
16
24
40
Do Not Have Dogs
25
35
60
Total
41
59
100
How many more students have hamsters than dogs?
1
5
8
9
Answer:
1
Step-by-step explanation:
There are a total of 16+25 = 41 students that own hamsters.
There are a total of 16+24 = 40 students that own dogs.
This is a difference of 41-40 = 1.
Answer: 1
Step-by-step explanation:
Total number of students that own hamsters 16+25 = 41.
Total of students that own dogs 16+24 = 40.
To get how many more students own hamsters than dogs, we find the difference;
That is 41-40 = 1.
Good luck
Find the distance between the points with coordinates (5, 7) and (-3, 1)