Answer:
2×\(10^{8}\)
or
200000000
Step-by-step explanation:
\(\frac{6.28*10^{12} }{3.14*10^4}\)
2×\(10^{8}\)
or
200000000
The line passes through the points (0, 2) and (-2, 2) is parallel to the line:
Answer:
Undefined
Step-by-step explanation:
you can't divide by 0
(-2-0)/(2-2)
becca repeatedly tosses a fair coin until she gets a heads, while daniel repeatedly rolls a fair six-sided die until he gets a 3 or higher. calculate the probability that the number of die rolls needed is greater than the number of coin tosses needed.
We need to roll a die at least 3 times and a coin should be tossed at least 2 times.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given this, Becca repeatedly tosses a fair coin until she gets a head.
The probability of getting a head P(H) is = 1/2.
The probability of getting a number 3 or higher is,
P(3) + P(4) + P(5) + P(6).
= 1/6 + 1/6 + 1/6 + 1/6.
= 4/6.
= 2/3.
So, to get a number 3 or higher we need at least 3 rolls, and to get a head we need at least 2 tosses.
learn more about probability here :
https://brainly.com/question/743546
#SPJ1
Question 1 1 pts The time between failures of our video streaming service follows an exponential distribution with a mean of 20 days. Our servers have been running for 16 days, What is the probability that they will run for at least 56 days? (clarification: run for at least another 40 days given that they have been running 16 days). Report your answer to 3 decimal places.
The probability that the servers will run for at least 56 days, given that they have been running for 16 days, is approximately 0.063.
Since the time between failures of the video streaming service follows an exponential distribution with a mean of 20 days, the parameter λ of the distribution can be calculated as:
λ = 1 / mean = 1 / 20 = 0.05
Let X be the time between failures of the video streaming service. Then X follows an exponential distribution with parameter λ = 0.05, and the probability density function of X is given by:
f(x) = λ e^(-λx)
We want to find the probability that the servers will run for at least 56 days, given that they have been running for 16 days. That is:
P(X > 56 | X > 16)
Using the conditional probability formula, we have:
P(X > 56 | X > 16) = P(X > 56 and X > 16) / P(X > 16)
Since X is a continuous random variable, we can use the cumulative distribution function (CDF) to calculate the probabilities:
P(X > 56 and X > 16) = P(X > 56)
= ∫56∞ λ e^(-λx) dx
= e^(-λx) |56∞
= e^(-0.05*56)
≈ 0.0284
P(X > 16) = ∫16∞ λ e^(-λx) dx
= e^(-λx) |16∞
= e^(-0.05×16)
≈ 0.4493
Therefore, P(X > 56 | X > 16) = P(X > 56 and X > 16) / P(X > 16)
= 0.0284 / 0.4493
≈ 0.0632
Learn more about parameter here:
https://brainly.com/question/30757464
#SPJ11
find x and y. 4x-2=3y-1. y+3=3x-4
Answer:
x = 4, y = 5.
Step-by-step explanation:
4x-2=3y-1
y+3=3x-4
Rearranging:
4x - 3y = 1 (A)
-3x + y = -7 (B)
Multiply B by 3:
-9x + 3y = -21 (C)
Adding A and C:
-5x = -20
x = 4
Substitute for x in equation A:
4(4) - 3y = 1
3y = 15
y = 5.
what is the simplest way to find the surface area of a composite figure
Answer:
To find the surface area of a composite 3D figure, add the areas of each geometric figure making up the composite 3D figure.
A bottle contains many balls with different colors. Two balls arechosen without replacement. The probability of selecting agreen ball and then a white ball is 0.15, and the probability ofselecting a green ball on the first draw is 0.65. What is theprobability of selecting a white ball on the second draw, giventhat the first ball drawn was green?Enter your answer as a decimal rounded to the nearesthundredth.
We have to find the probability of selecting a white ball on the second draw given that the first ball drawn was green.
We know that probability of selecting a green ball and then a white ball without replacement is 0.15, so we can write:
\(P(G,W)=0.15\)We also know that the probability of selecting a green ball in the first draw is 0.65:
\(P(G)=0.65\)Then, we can use this to find the conditional probability of selecting a white ball on the second draw given that the first ball drawn was green can be calculated as:
\(P(W|G)=\frac{P(G,W)}{P(G)}=\frac{0.15}{0.65}\approx0.231\)Answer: the probability is 0.231.
please help!! really need this answered asap
x+21 is the length of GH from the given figure.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
A triangle GHJ, M is the intersection of the three medians.
Given that GJ is twenty one.
GJ=21
We need to find the length of GH.
Let the length of HJ is x.
Now GH=HJ+GJ
GH=x+21
Hence, x+21 is the length of GH from the given figure.
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ1
I NEED HWLP CAN U HELP ME?
Answer:
y=mx+c
Step-by-step explanation:
noice
If the slope of a line is 3, what is the slope of the line that is parallel to it?
Answer:
3
Step-by-step explanation: If they are parallel, the lines will always run the same distance apart and never intersect. If the slopes are different, they will intersect at some point
If f(x) is a polynomial of degree four with leading coefficient 1 such that f(1) = 1, f(2) = 8 , f(3) = 27 and f(4) = 64 , then the value of f(5) is
The required value of the function at f(5) = 125, as of the given conditions.
Given that,
f(x) is a polynomial of degree four with a leading coefficient 1 such that f(1) = 1, f(2) = 8 , f(3) = 27, and f(4) = 64, then the value of f(5) is ot be determined.
Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
f(x) = x⁴/x
Put x = 5
f(x) = 5⁴ / 5 = 125
Thus, the required value of the function at f(5) = 125, as of the given conditions.
learn more about function here:
brainly.com/question/21145944
#SPJ1
Find the surface area of
the prism.
14 in.
7 in.
5 in.
The surface area is _in2
(FIRST PERSON TO ANSWER GETS BRAINLIEST!!!) A student earned $2500.75 at his summer job making $12.50 per hour. Let h represent the number of hours the student worked. Which of the following equations could be used to determine how many hours the student worked at his summer job? (answer choices and question is below)
Answer:
\(12.50 \space\ h = 2500.75\)
Step-by-step explanation:
We know from the question that the student earned $12.50 per hour.
Using this information, we can say that if the student worked for h hours, they would make a total of 12.50 × h dollars.
We also know that the total money they earned is $2500.75.
∴ Therefore, we can set up the following equation:
\(\boxed {12.50 \times h = 2500.75}\)
From here, if we want to, we can find the number of hours worked by simply making h the subject of the equation and evaluating:
h = \(\frac{2500.75}{12.50}\)
= 200.6 hours
Answer: 12.50h = 2500.75
Step-by-step explanation:
We know from the question that the student earned $12.50 per hour.
Using this information, we can say that if the student worked for h hours, they would make a total of 12.50 × h dollars.
We also know that the total money they earned is $2500.75.
Find the difference between the place value and the face value of 7 in 27650934
The place value of 7 in 27650934 is 70,000,000 while the absolute value of 7 is just 7. The difference between the two is 69,999,993.
Place value of 7 = 7 x 10,000,000 = 70,000,000
Face value of 7 = 7
Difference = 70,000,000 - 7 = 69,999,993
The place value of 7 in 27650934 is 70,000,000 which means that 7 holds the value of 70 million in the number. This means that the 7 is placed in the millions column. On the other hand, the face value of 7 is just 7 which is the actual value of the number 7. The difference between the two can be calculated by subtracting the face value of 7 from the place value which is 70,000,000 - 7 = 69,999,993. Therefore, the difference between the place value and the face value of 7 in 27650934 is 69,999,993.
Learn more about absolute value here
https://brainly.com/question/1301718
#SPJ4
How much time will it take your savings to double in value if the interest rate is 3%? What if the interest rate was 8%? Compute both answers by applying the "Rule of 72." Show all work
For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.
The "Rule of 72" is a quick estimation method to determine the time it takes for an investment or savings to double in value. By dividing 72 by the interest rate, you can obtain an approximation of the doubling time. For an interest rate of 3%, it would take approximately 24 years for the savings to double. For an interest rate of 8%, it would take around 9 years for the savings to double.
To calculate the doubling time using the Rule of 72, divide 72 by the interest rate. This provides an approximation of the number of years it takes for an investment or savings to double in value.
For an interest rate of 3%, we divide 72 by 3: 72 / 3 = 24. Therefore, it would take approximately 24 years for the savings to double.
For an interest rate of 8%, we divide 72 by 8: 72 / 8 = 9. Thus, it would take around 9 years for the savings to double at an interest rate of 8%.
Learn more about Interest Rate here
https://brainly.com/question/28272078
#SPJ11
A consumer agency wants to determine which of two laundry detergents, A or B, cleans better. Fifty 1-square-foot sections of fabric are randomly selected and cut from different bolts of fabric. They are then subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale of 1–10, with 1 being the least clean to 10 being the most clean. The mean rating for detergent A is found to be significantly greater than the mean rating for detergent B.
Which of the following is a valid conclusion?
Inferences can be made about the population of fabric from which the pieces were cut. The conclusion can be made that detergent A cleans better than detergent B for the fabric from these bolts.
Inferences cannot be made about the population of fabric from which the pieces were cut. The conclusion can be made that detergent A cleans better than detergent B for the fabric from these bolts.
Inferences can be made about the population of fabric from which the pieces were cut. The conclusion cannot be made that detergent A cleans better than detergent B for the fabric from these bolts.
Inferences cannot be made about the population of fabric from which the pieces were chosen. The conclusion cannot be made that detergent A cleans better than detergent B for the fabric from these bolts.
The conclusion about the detergents in the sampling is D.Inferences cannot be made about the population of fabric from which the pieces were chosen.
What is sampling?Sampling is the selection of a subset of individuals that are gotten from a statistical population in order to estimate the characteristics of the whole population.
In this case, inferences cannot be made about the population of fabric from which the pieces were chosen. The conclusion cannot be made that detergent A cleans better than detergent B for the fabric from these bolts.
Learn more about sampling on:
https://brainly.com/question/17831271
by observing a set of data values, thomas used a calculator for the weight (in pounds) and predicted the number of calories burned per minute to get an equation for the least-squares line: ŷ
A person weighing 173 pounds can burn 10.7 calories per minute.
The given equation is ŷ=2.2+0.05x.
To solve this question, we can use the equation given, ŷ=2.2+0.05x. We can insert the known weight value, 173 pounds, to calculate the anticipated calories burned per minute.
y = 2.2 + 0.05x
y = 2.2 + 0.05 × 173
y = 10.7
Therefore, a person weighing 173 pounds can burn 10.7 calories per minute.
Learn more about the least-squares here:
https://brainly.com/question/30176124.
#SPJ4
"Your question is incomplete, probably the complete question/missing part is:"
By observing a set of data values, Thomas used a calculator for the weight (in pounds) and predicted the number of calories burned per minute to get an equation for the least-squares line: ŷ=2.2+0.05x
Based on the information gathered by Thomas, select the statement that is true.
a) A person weighing 149 pounds can burn 9.8 calories per minute.
b) A person weighing 134 pounds can burn 8.9 calories per minute.
c) A person weighing 125 pounds can burn 8.3 calories per minute.
d) A person weighing 173 pounds can burn 10.7 calories per minute.
Answer:
A person weighing 134 pounds can burn 8.9 calories a minute.
Step-by-step explanation:
Point B is the midpoint of AC. Which statements about the figure must be true. Select three options
Answer:
Ans:
Step-by-step explanation:
AB+BC=AC
AB=BC
It is the centroid for both the endpoints
The following argument is missing a premise. some non-poodles are not non-cats and no cats are dogs so some poodles are dogsTrueFalse
The missing premise is "all dogs are non-cats." Therefore, the argument is true.
The given information and analyze the argument step-by-step.
1. Some non-poodles are not non-cats: This statement means that there are some animals that are not poodles and are also cats.
2. No cats are dogs: This statement means that there is no overlap between cats and dogs.
Now, let's try to determine if "some poodles are dogs" can be concluded from these premises:
Since no cats are dogs, it doesn't matter whether some non-poodles are not non-cats. Poodles are a breed of dog, so it's already a fact that poodles are dogs.
So, the answer is True: some poodles are dogs.
Learn more about Missing:
brainly.com/question/28011421
#SPJ11
Help please if you can don’t answer if you can’t
9514 1404 393
Answer:
280 miles
Step-by-step explanation:
"Initial" usually refers to the value at x=0. Here, the dot is on 280 miles when x=0 days.
The initial amount of miles the car can travel is 280 miles.
Consider the following time series y(t): 10, 20, 30, 40, 50 for time periods 1 through 5. Using a moving average of order p = 3, a forecast for time period 6 is
Using a moving average of order p = 3, a forecast for time period 6 is 46.
The moving average is a mathematical method for calculating a series of averages using various subsets of the full dataset. It is also known as a rolling average or a running average. The moving average smoothes the underlying data and lowers the noise level, allowing us to visualize the underlying patterns and patterns more readily. In other words, a moving average is a mathematical calculation that employs the average of a subset of data at various time intervals to determine trends, eliminate noise, and better forecast future outcomes. Answer: 46.
More on moving average: https://brainly.com/question/32464991
#SPJ11
Arie's pet shop is selling geckos at 12 and a half percent off! if geckos were originally $20 each, what is the sale price?
DIscount = 121/2 % 0ff
\(\begin{gathered} \text{Sales price = 12}\frac{1}{2}\text{ }\times\text{ 20} \\ \text{ =}\frac{\frac{25}{2}}{100}\text{ }\times20\text{ } \\ \text{ } \\ \text{ =}\frac{25}{200}\text{ }\times20\text{ = }\frac{500}{200}\text{ = \$2.5} \end{gathered}\)5(-3p + 7) + 5(p - 1)
Answer:
The answer would be -10p+30.
Step-by-step explanation:
Distrubuting the 5 to -3p and 7 and 5 to p and -1 would be the first step.
Once you did that, you would get -15p+35+5p-5. Now just add -15p to 5p and add 35 to -5 and you'll get -10p+30.
how to fry AN EGG with 34 meter of plastic
Answer:
Step-by-step explanation:
amama
Is this function linear or nonlinear? y=2x2−4 nonlinear linear
Answer:
yes cause its in a form of y=mx+b
Step-by-step explanation:
Answer:
linear
Step-by-step explanation:
I got to K-12 and this was correct
Glen Davis is shooting free throws. Making or missing free throws doesn't change the probability that he will make his next one, and he makes his free throws 74%
Answer:
0.00456
Step-by-step explanation:
Given: Percentage of free throws = 74%
Required: What is the probability of Glen Davis making none of his next 4 free throw attempts?
Since, there is a free throw 74% of the time, thus, the time he misses = 26% of the time.
To miss four in a row, it is requires to miss the first throw, the second throw, the third throw and also the fourth throw.
Thus, the probabilities of Gien missing will be multiplied.
By using the probability formula -
P ( MMMM) = 26/100 × 26/100 × 26/100 × 26/100
= 456976/ 100000000
= 0.00456
Therefore, the probability that he will have next 4 free attempts is 0.00456.
KLMN is a rectangle. Solve for y.
Please help :)
Answer:
31
Step-by-step explanation:
i have no idea if that is right
EASY 100 POINTS, WILL MARK FIRST ANSWER BRAINLIEST
The system of linear equations −3x + 2y = −6 and y equals negative one half times x plus 4 is graphed on a coordinate plane. Approximate the solution to the system.
(−1.5, −3.5)
(−1.5, 4.25)
(2.5, 1.5)
(3.5, 2.25)
Answer:
D. (3.5, 2.25)
Step-by-step explanation:
A solution to the system is where the two equations intersect.
looking at the graph, we see that the intersection point is between x= 3 and 4, and Y = 2 and 3.
Answer:
(3.5, 2.25)
Step-by-step explanation:
To find the coordinate of the solution to the system of linear equations −3x + 2y = −6 and y = -1/2x + 4, we need to solve the system. One method to do this is substitution. We can solve one of the equations for y, then substitute the expression for y into the other equation. This will give us an equation in terms of x, which we can then solve for x. Then, we can substitute the value of x back into one of the equations to find the corresponding value of y.
Using substitution, we can solve the system as follows:
y = -1/2x + 4
-3x + 2y = -6
Substitute y = -1/2x + 4 into -3x + 2y = -6:
-3x + 2(-1/2x + 4) = -6
-3x + (-x + 8) = -6
-4x + 8 = -6
-4x = -14
x = 3.5
Substitute x = 3.5 into y = -1/2x + 4:
y = -1/2(3.5) + 4
y = 2.25
Therefore, the solution to the system is approximately (3.5, 2.25).
A fish tank is a rectangular prism that is 30 inches long, 24 inches deep,and 18 inches high. How much water will it hold
Step-by-step explanation:
30 in X 24 in X 18 in = 12 960 in^3 volume of water it will hold
AB has an initial point A(8-4) and terminal point B(-2,-3). Use this information to complete #1 - 3. 1.) Sketch AB. (3 points) 2.) Write AB in component form. (4 points) 3.) Find ||AB|| (4 points) AB-"
The magnitude or length of AB, represented as ||AB||, is calculated using the distance formula resulting in √101.
To sketch AB, plot the initial point A(8, -4) and the terminal point B(-2, -3) on a coordinate plane. Then, draw a line segment connecting these two points. The line segment AB represents the vector AB.
To write AB in component form, subtract the x-coordinates of B from the x-coordinate of A and the y-coordinates of B from the y-coordinate of A. This gives us the vector (-2 - 8, -3 - (-4)), which simplifies to (-10, 1). Therefore, AB can be represented as the vector (-10, 1).
To find the magnitude or length of AB, we can use the distance formula. The distance formula calculates the distance between two points in a coordinate plane. Applying the distance formula to AB, we have √((-2 - 8)² + (-3 - (-4))²). Simplifying the equation inside the square root, we get √(100 + 1), which further simplifies to √101. Thus, the magnitude or length of AB, denoted as ||AB||, is √101.
Learn more about line segments here:
https://brainly.com/question/28001060
#SPJ11
The table shows the results of a survey about students' preferred subjects in middle
school. What is the probability that a randomly selected student from the survey is a
7th grader that prefers English? Write your answer as a fraction and NOT as a
decimal.
Answer:
19/149
Step-by-step explanation:
38/298 = 19/149
7th graders who prefer English out of all students