Four times a number, minus 6, is equal to three times the number, plus 8
Answer:
let the number be x
4x-6=3x+8
Step-by-step explanation:
hope this helps you
If yes then do mark my answer as brainliest
Answer:
The answer is 14.
Step-by-step explanation:
4*14 is 56. 56-6 is 50. 3*14 is 42. 42+8 is 50.
(Hope this helps. :D)
what is 4 3/4 - 1/3 . I need this answer so I can pass .
Answer:
Step-by-step explanation:
Turn the fractions to the same denominator then subtract to get: 4 5/12
Mike used of a cup of vinegar in his salad dressing recipe. He made 3 salad dressing recipes. Between which two whole numbers does the number of cups of vinegar that Mike used lie?
The number of cups of vinegar that Mike used lies between the whole numbers 2 and 4
If Mike used one cup of vinegar for each salad dressing recipe, then he used a total of 3 cups of vinegar (1 cup x 3 recipes = 3 cups).
However, the question states that he used "a cup of vinegar" in each recipe, which could mean that he used slightly less than one cup, exactly one cup, or slightly more than one cup.
Assuming that Mike used at least 3/4 cup of vinegar in each recipe (which is still close to "a cup"), then he used a minimum of 2 and 1/4 cups of vinegar in total (3/4 cup x 3 recipes = 2 and 1/4 cups).
Assuming that Mike used at most 1 and 1/4 cups of vinegar in each recipe (which is still close to "a cup"), then he used a maximum of 3 and 3/4 cups of vinegar in total (1 and 1/4 cups x 3 recipes = 3 and 3/4 cups).
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Can someone pls answer this
How do these numbers compare?
Drag the correct comparison symbol to the box.
10.09 10.9
< = >
Addressing issue at hand, we can state that the correct linear equation comparison symbol to the box. 10.09 10.9 f < = > is => 10.09 < 10.9
What is a linear equation?The algebraic equation y=mx+b is known as a linear equation. M serves as the y-intercept, and B serves as the slope. The previous clause has two variables, y and x, and is sometimes referred to as a "linear equation with two variables". Bivariate linear equations are those with two independent variables. The following are a few examples of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation takes the form y=mx+b, with m denoting the slope and b denoting the y-intercept, it is referred to as being linear. The term "linear" refers to an equation having the form y=mx+b, where m stands for the slope and b for the y-intercept.
the correct comparison symbol to the box.
10.09 10.9
< = >
10.09 < 10.9
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how to find the indicated angle of a triangle
I REALLY NEED HELP I WILL MARK BRAINLIEST
Im so sorry i don't know.
The points B(2, 6) and D(0, -2) are two opposite vertices of a square ABCD, find the equation
of the diagonal AC.
Answer:
y = -x/4 + 9/2
Step-by-step explanation:
The diagonal AC is the perpendicular bisector of BD.
The centre of the square, P, through which both diagonal pass through is at the average of the coordinates of B(2,6) and D(0,-2)
P ((2+0)/2, (6-2)/2) = P(1,2)
The slope of BD,
m = (yd-yb)/(xd-xb) = (-2-6)/(0-2) = -8/-2 =4
Slope of AC
m' = -1 / m = -1/4
Using the point slope form of the line AC, slope m' through P(1,2)
y-yp = m'(x-xp)
y-2 = -(1/4)(x-1)
Simplify and isolate y
y = -x/4 + 1/4 +2 = -x/4 + 9/2
Can someone help me on this plzzz
Answer:
b=15
How I got it:
32 + (7x4) = 32 + 28 = 60
60 divided by 4 = 15
Checking:
15 - 7 = 8
8 x 4 = 32
32 = 32
You can tell b = 15 is the correct answer.
Solve: 4-(9g-5)=-27 please help
Answer:
-2
Step-by-step explanation:
9g-4-5=-27
9g-9=-27
Add 9 to both sides
9g=-18
g=-2
Answer:
-18
if you need more info. just search up you question on Google and click the first link
Two-Variance Test There are dozens of hypothesis tests that we do not cover in this class. The following is an example of a 'Two-Variance Test, which compares the variance of one population to the variance of another population. (The symbol for variance is o 2.) The test is performed in a manner that is very similar to the Two-Mean or Two-Proportion test. Perform the Two-Variance Test for the following problem. Ten statistics students and twelve algebra students were asked how many hours they studied for their final exam. Their responses were recorded and the calculations were done. At the 0.05 level of significance, test the claim that the variance in time for statistics students is greater than the variance in time for algebra students. (Treat statistics students as population 1.) (P-value: 0.0376)
The variance in time for statistics students is greater than the variance in time for algebra students. P = 0.376 < 0.05
Null hypothesis is the variance in time for statistics students is equal to or less than the variance in time for algebra students.
Alternate hypothesis is the variance in time for statistics students is greater than the variance in time for algebra students.
P-value: 0.0376, P = 0.376 < 0.05
P-value is 0.0376, which is less than the significance level of 0.05, we reject the null hypothesis.
Therefore, the variance in time for statistics students is greater than the variance in time for algebra students at 0.05 significance level.
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need help with my assignment
Considering a growth factor of 10, the values of the exponential function are given as follows:
1 hour: 10 bacteria.2 hours: 100 bacteria.3 hours: 1,000 bacteria.4 hours: 10,000 bacteria.5 hours: 100,000 bacteria.6 hours: 1,000,000 bacteria.What is an exponential function?An exponential function is a function in which when the input x is increased by one, the output y is multiplied by the growth factor.
From the table given in the problem, the growth factor is of 8, meaning that when the input variable representing the number of hours is increased by one, the output is always multiplied by 8.
For the second table, which we have to fill, the growth factor is of 10, meaning that for each hour, the number of bacteria is given by the number of bacteria in the previous hour multiplied by 10, then:
10 x 1 = 10. (hour 1).10 x 100 = 100(hour 2).And so on...
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How many numbers must be selected from the set {1, 2,3,4,5,6}to guarantee that at least one pair of these numbers add up to 7
Answer:
2
Step-by-step explanation:
Not one number adds up to 7. So, 6 + 1 = 7, and 4 + 3 = 7, and 5 + 2 = 7.
An animal rescue agent wanted to estimate the true proportion of all animals in shelters that are adopted each month. To do so, she selects a random sample of 100 animals that were in shelters last month and determines that the 95% confidence interval for the true proportion of animals adopted each month is between 0.12 and 0.24. Which of the following would decrease the margin of error?
The option that would decrease the margin of error is B. increasing the sample size.
What is the margin of error?The margin of error is a statistic that expresses the amount of random sampling error in survey results. The greater the margin of error, the less confident one should be that a poll result will accurately reflect the results of a population census.
Because the sample size is in the denominator of the margin of error calculation, increasing the sample size reduces the margin of error. Furthermore, by expressing a value in a range, the margin of error assists researchers in determining its accuracy.
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Complete question
An animal rescue agent wanted to estimate the true proportion of all animals in shelters that are adopted each month. To do so, she selects a random sample of 100 animals that were in shelters last month and determines that the 95% confidence interval for the true proportion of animals adopted each month is between 0.12 and 0.24. Which of the following would decrease the margin of error?
selecting another sample
increasing sample size
decreasing sample size
increasing confidence level
Factorize: 6x² + 13x + 6
Hello!
6x² + 13x + 6
= (6x² + 9x) + (4x + 6)
= 3x(2x + 3) + 2(2x + 3)
= (3x + 2)(2x + 3)
Categories the graph as linear increasing, linear decreasing, exponential growth, or exponential decay
Answer:
Step-by-step explanation:
This graph is both linear and decreasing, as we move from left to right.
Find the mean, median, mode, and range of the data set.
23, 31, 26, 27, 25, 28, 23, 23, 25, 29, 29, 29, 25, 22, 30, 23
g two roommates take the bus to campus. there are two types of busses: local and express. the number of busses that arrive in an hour is poisson distributed with mean of 20. twenty-five percent of busses are express and seventy-five percent are local. the type of bus is independent. express busses take 16 minutes and local busses take 28 minutes. the first roommate always takes the first bus to arrive. the second roommate takes the first express bus to arrive. what is the difference between the expected total time for the trip (waiting and travel) for the first roommate and the second roommate.
The difference between the expected total time for the trip (waiting and travel) for the first roommate and the second roommate is 0 hours.
To calculate the expected total time for the trip (waiting and travel) for both roommates, we need to find the waiting time and travel time for each roommate.
Step 1: Calculate the arrival rates of local and express buses.
There are 20 buses arriving per hour, with 75% local and 25% express. Thus,
Local bus arrival rate: 20 * 0.75 = 15 buses per hour
Express bus arrival rate: 20 * 0.25 = 5 buses per hour
Step 2: Calculate the waiting time for each roommate.
The waiting time for buses is the inverse of the arrival rate.
First roommate waiting time (first bus): 1 / 20 = 0.05 hours
Second roommate waiting time (first express bus): 1 / 5 = 0.2 hours
Step 3: Calculate the expected travel time for each roommate.
First roommate travel time: 0.75 * 28 + 0.25 * 16 = 21 + 4 = 25 minutes (0.4167 hours)
Second roommate travel time: 16 minutes (0.2667 hours)
Step 4: Calculate the expected total time for the trip for each roommate.
First roommate total time: Waiting time + Travel time = 0.05 + 0.4167 = 0.4667 hours
Second roommate total time: Waiting time + Travel time = 0.2 + 0.2667 = 0.4667 hours
Step 5: Find the difference between the expected total time for both roommates.
Difference = First roommate total time - Second roommate total time = 0.4667 - 0.4667 = 0 hours.
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The slope of a perpendicular line is the opposite reciprocal of the other slope.
True
False
Answer:it will probably be true
Step-by-step explanation:
It would probably be true.
Please please help please please ASAP please I'm begging you please I have 10 minutes please y'all help please any ACE that can help please
Answer:
6
Step-by-step explanation:
We know that the two quads are of similar and the ratio is 1:2, thus
AB/RS = 1/2
3/x = 1/2
x = 6
If 12 subtracted from the product of a number n
and 4, the result is -8. Find the value of n.
Answer: -4
Step-by-step explanation:
In a particular game, a fair die is tossed. If the number of spots showing is either four or five, you win $1. If the number of spots showing is six, you win $4. And if the number of spots showing is one, two, or three, you win nothing. You are going to play the game twice. The probability that you win at least $1 both times is
Answer:
The probability that you win at least $1 both times is 0.25 = 25%.
Step-by-step explanation:
For each game, there are only two possible outcomes. Either you win at least $1, or you do not. Games are independent. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
And p is the probability of X happening.
Probability of winning at least $1 on a single game:
The die has 6 sides.
If it lands on 4, 5 or 6(either of the three sides), you win at least $1. So
\(p = \frac{1}{2} = 0.5\)
You are going to play the game twice.
This means that \(n = 2\)
The probability that you win at least $1 both times is
This is P(X = 2).
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 2) = C_{2,2}.(0.5)^{2}.(0.5)^{2} = 0.25\)
The probability that you win at least $1 both times is 0.25 = 25%.
The probability that you win at least $ 1 both times is 25%.
Since in a particular game, a fair die is tossed, and if the number of spots showing is either four or five, you win $ 1, while if the number of spots showing is six, you win $ 4, and if the number of spots showing is one, two, or three, you win nothing, and you are going to play the game twice, to determine the probability that you win at least $ 1 both times the following calculation must be performed:
2/6 = 1 1/6 = 4 3/6 = 0 3/6 x 3/6 = X 0.25 = X
Therefore, the probability that you win at least $ 1 both times is 25%.
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Help ASAP pls ASAP will give brainliest
Solve. -5 3/4 - 3 1/2 =
Answer:
-9 \(\frac{1}{4}\)
or
-9.25
Step-by-step explanation:
Answer:
-9.25
Step-by-step explanation:
Can i be made brainliest and the answer is at the top.
At the 2018 census the population of Auckland was 1,571,718. (a) What's the largest value of k for which we can guarantee that among this population there are at least k people who all have the same initials (first and last)? (b) What's the largest value of k for which we can guarantee that among this population there are at least k people who all have the same initials, and have the same birthday? (c) What's the smallest number of people that must attend a concert at Mt Smart Stadium so that we can guarantee that there are at least 45 people present with the same initials? (For the purposes of this problem, we don't get to pick and choose who attends!)
There were 70 people or more then there would be at least one initial with at least 45 people with it.
(a)
The number of possible initials is 26 * 26 = 676.
Using the Pigeonhole Principle, we can say that the largest value of k for which we can guarantee that among the population of 1,571,718
people there are at least k people who all have the same initials (first and last) is:
k = 676 + 1 = 677.
This is because if there were 676 people with each unique initial then that would be the maximum number, however, if there were 677 people or more then there would be at least one pair of people who share the same initials.
(b)
The largest value of k for which we can guarantee that among this population there are at least k people who all have the same initials, and have the same birthday can be calculated using the Pigeonhole Principle.
Since there are 365 days in a year, the total number of possible combinations of initials and birthdates is 676 * 365 = 246,740.
Using the Pigeonhole Principle, we can say that the largest value of k for which we can guarantee that among the population of 1,571,718 people there are at least k people who all have the same initials, and have the same birthday is:
k = 246,740 + 1 = 246,741.
This is because if there were 246,740 people with each unique combination of initials and birthdate, then that would be the maximum number, however, if there were 246,741 people or more then there would be at least one set of people who share the same initials and birthdate.
(c)
The smallest number of people that must attend a concert at Mt Smart Stadium so that we can guarantee that there are at least 45 people present with the same initials can be calculated using the Pigeonhole Principle.
Since there are 26 letters in the alphabet, there are 26 possible initials.
Using the Pigeonhole Principle, we can say that the smallest number of people that must attend the concert at Mt Smart Stadium so that we can guarantee that there are at least 45 people present with the same initials is 45 + 25 = 70.
This is because if there were 69 people with each unique initial, then that would be the maximum number, however, if there were 70 people or more then there would be at least one initial with at least 45 people with it.
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20. John went school shopping for his son at the mall. A pair of jeans cost $24.99 and Jordan's
cost $120. If John bought his son 3 pair of jeans and 2 pair of Jordans, how much did he spend?
Answer:
314.97
Step-by-step explanation:
David's iPod has about 10,000 songs. The distribution of the play times for these songs is heavily skewed to the right with a mean of 225 seconds and a standard deviation of 60 seconds. Suppose we choose an SRS of 10 songs from this population and calculate the mean play time
x
of these songs. What are the mean and the standard deviation of the sampling distribution of
x?
Explain.
The mean and the standard deviation of the sampling distribution of x are given as follows:
Mean: 225 seconds.Standard deviation: 19 seconds.How to obtain the mean and the standard deviation of the sampling distribution of x?The mean and the standard deviation of the sampling distribution of x are defined according to the Central Limit Theorem, which states that:
The mean is the same as the population mean.The standard deviation is the division of the population standard deviation by the square root of the sample size.The parameters for this problem are given as follows:
Population mean of 225 seconds.Population standard deviation of 60 seconds.Sample size of 10 seconds.Hence the standard deviation for the sampling distribution of x is given as follows:
s = 60/sqrt(10) = 19 seconds.
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Please Help me - You will get 60 points for the rapid reply- Use isosceles trapezoid ABCD to determine the following measurements-
Answer:
1) AD = 9 in
2) DE = 9.25 in
3) ∠EDC = 36°
4) ∠AEB = 108°
5) 11.5 in
Step-by-step explanation:
1) AD = BC = 9in
2) AC = BD (diagonals are equal)
⇒ BD = 14.25
⇒ BE + DE = 14.25
⇒ 5 + DE = 14.25
DE = 9.25
3) Since AB ║CD,
∠ABE = ∠EDC = 36°
4) ∠ABE = ∠BAE = 36°
Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)
⇒ 36 + 36 + ∠AEB = 180
∠AEB = 108
5) midsegment = (AB + CD)/2
= (8 + 15)/2
11.5
on a circle of radius 2, center (0, 0), find the x and y coordinates at angle 270 degrees (or 3π/2 in radian measure).
At an angle of 270 degrees (or 3π/2 radians) on a circle with a radius of 2 and center at (0, 0), the x-coordinate is 0 and the y-coordinate is -2.
To find the x and y coordinates at an angle of 270 degrees (or 3π/2 in radian measure) on a circle of radius 2 with center (0, 0), we can use the trigonometric definitions of sine and cosine.
The x-coordinate (x-value) represents the horizontal position on the circle, while the y-coordinate (y-value) represents the vertical position.
For a point on the unit circle (circle with radius 1) at a given angle θ, the x-coordinate is given by cos(θ) and the y-coordinate is given by sin(θ).
In this case, the circle has a radius of 2, so we need to multiply the cosine and sine values by 2 to get the x and y coordinates, respectively.
Using the angle 270 degrees (or 3π/2 in radian measure):
x-coordinate = 2 * cos(3π/2)
y-coordinate = 2 * sin(3π/2)
Evaluating these expressions:
x-coordinate = 2 * cos(3π/2) = 2 * 0 = 0
y-coordinate = 2 * sin(3π/2) = 2 * (-1) = -2
Therefore, at an angle of 270 degrees (or 3π/2 radians) on the circle of radius 2 with center (0, 0), the x-coordinate is 0 and the y-coordinate is -2.
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Find the coordinates of point Bon AC such that AB is 1/3 of AC.
Answer:
(3,3)
Step-by-step explanation:
8--7=15
15/3 = 5
8-5=3
ordered pair at x=3 is (3,3)
30 POINTS
The equation h= -161 + 56t models the height h, in feet, of a golf ball t seconds after it was hit. Find the values of t for which h = 0. Explain the meaning of the solutions.
Answer:
After 4 seconds the the ball will hit the ground
that is the correct answer