Answer:
Hence the value of 2x and 3x are 18 and 27 respectively.
Step-by-step explanation:
Given the expression 2x - 3 = 3x - 12. We need to get the value of x first;
2x - 3x = -12 + 3
-x = -9
x = 9
Get 2x;
2x = 2(9)
2x = 18
Get 3x;
3x = 3(9)
3x = 27
Hence the value of 2x and 3x are 18 and 27 respectively.
125% of what number is 476?
Answer:
The answer is 380.8
Step-by-step explanation:
476 is 125% of 380.8
Answer: 380.8
Step-by-step explanation: 125 % of 380.8 is 476 . This means 380.8 is the total because in percentage what comes after the word of is the total . PLEASE GIVE BRAINLIEST .THANKS HOPE IT HELPS .
Linda needs 2200 calories per day to maintain her present weight and daily activities. She wants to lose x pounds per day. Each pound of body weight lost is equivalent to 3900 calories. Write her daily calorie intake as a linear function of the number of pounds of weight lost per day. (Let y represent the calorie intake and x represent the number of pounds of weight lost per day.)
y=
The calorie intake is y.
The number of pounds of weight lost per day is x.
m = Change of y with respect to x
when no weight is lost per day the amount of calories taken so \(x=0\) and \(y=2200\)
\(y=m\times 0+2200\\\Rightarrow y=2200\)
So, y intercept, \(c=2200\)
When 3900 calories are lost one pound is lost so \(x=1\) and \(y=-3900\)
\(y=m+2200\)
\(\\\Rightarrow -3900=m+2200\\\Rightarrow m=-6100\)
So, the linear equation would be \(y=-6100x+2200\).
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.2. Determine whether the feasible set for each of the following systems of constraints is convex, and if not, indicate points x^1 and x² that violate definition. a) (x1)² + (x2)² > 9
x1 + x2 ,10
x1, x2 > 0
The feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
To determine whether the feasible set for each system of constraints is convex, we need to analyze the constraints individually and examine their intersection.
a) (x1)² + (x2)² > 9
This constraint represents points outside the circle with a radius of √9 = 3. The feasible set includes all points outside this circle.
b) x1 + x2 ≤ 10
This constraint represents points that lie on or below the line x1 + x2 = 10. The feasible set includes all points on or below this line.
c) x1, x2 > 0
This constraint represents points in the positive quadrant, where both x1 and x2 are greater than zero.
Now, let's analyze the intersection of these constraints:
Considering the first two constraints (a and b), we can see that the feasible set consists of all points outside the circle (constraint a) and below or on the line x1 + x2 = 10 (constraint b).
To determine whether the feasible set is convex, we need to check if any two points within the set create a line segment that lies entirely within the set.
If we consider the points (5, 5) and (3, 7), both points satisfy the individual constraints (a) and (b). However, the line segment connecting these two points, which is the line segment between (5, 5) and (3, 7), exits the feasible set since it passes through the circle (constraint a) and above the line x1 + x2 = 10 (constraint b).
Therefore, the feasible set for this system of constraints is not convex, and the points (5, 5) and (3, 7) violate the convexity definition.
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The cost of a rice cooker with 13% VAT is Rs 4,068.
Answer:
0.319
Step-by-step explanation:
I have do 13/4068*100percent hope the answer that I have gave is correct
The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring.
a. True
b. False
The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring, this statement is false.
The union of two or more sets refers to the set with all the elements belonging to each set. An element is said to be in the union if it lies to at least one of the sets.
The intersection of two or more sets refers to the set of elements universal to each set. An element is in the intersection if it occurs in all of the sets.
The event that both A and B occur is the intersection of the events A occurs and B occurs. As such, it is a subset of each and cannot, therefore, have a larger probability than either one individually.
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can anyone help (will mark brainly)
Answer:
DIC
Step-by-step explanation:
Not the same type of triangle
Charissa is eating out with friends, and it is her turn to pay the gratuity. The bill for the food is $26.50. If she plans to tip at 20%, what should she pay if she doesn’t want to leave pennies on the table?
$0.55
$1.30
$2.65
$5.30
Answer:
$5.30
Step-by-step explanation:
To find the answer, you would need to divide $26.50 / .20 which would equal $5.30
Hope this helps and pls do mark me brainliest if you can:)
She should pay if she doesn’t want to leave pennies on the table $5.30,
the correct option is D
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
\(\dfrac{a}{100} \tim\)
Given;
The bill for the food is $26.50
She has to pay 20% tip
Now,
20% of $26.50 be x;
x*100/26.50=20
x=20*26.50/100
x=5.3
Therefore, the answer by 20 percent will be $5.30
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In a weighted grading system, students are graded on quizzes, tests, and a project, each with a different weight. Matrix W represents the weights for each kind of work, and matrix G represents the grades for two students, Felipe and Helena.
Q T P
W = [0.40 0.50 0.10] Felipe Helena
G= Q {80 70}
T {60 80}
p { 90 60}
Final grades are represented in a matrix F. If F = WG, what is F?
A. [7174]
B. [7174]
C. [7471]
D. [7471]
For Felipe and Helena's final grades, the solution is option C, [74 71].
How to calculate final grades?Using the given values for Q, T, and P weights and Felipe and Helena's grades, calculate their final grades as follows:
Felipe's final grade:
0.40 x 80 + 0.50 x 60 + 0.10 x 90 = 32 + 30 + 9 = 71
Helena's final grade:
0.40 x 70 + 0.50 x 80 + 0.10 x 60 = 28 + 40 + 6 = 74
To represent the final grades for Felipe and Helena in a matrix F, given formula F = WG, where W = matrix of weights and G = matrix of grades:
[0.40 0.50 0.10] [80 70]
F = WG = [0.40 0.50 0.10] x [60 80]
[0.40 0.50 0.10] [90 60]
Performing matrix multiplication:
[32 + 30 + 9 28 + 40 + 6]
F = WG = [32 + 40 + 6 28 + 40 + 3]
[36 + 25 + 6 36 + 20 + 3]
Simplifying:
[71 74]
F = WG = [78 71]
[67 59]
Therefore, [74 71] for Felipe and Helena's final grades, respectively.
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what is the slope-intercept form for 4,8 and 2,12
Answer:
The slope-intercept form is y=-2x+16.
-22/4 / 3/4 (fractions, and please explain answer!)
Answer: - 7 1/3 or -88/12 (it depends)
Step-by-step explanation:
To solve this equation, multiply the second number using it's reciprocal. A reciprocal is a flipped version of a fraction.
(3/4 to 4/3)
-22/4 x 4/3 = -88/12
Change it to a mixed number.
-7 1/3
Therefore, - 7 1/3 is the answer to this problem or keep it as -88/12.
I hope this helps mburlett5833:)!i kindly ask you fir you help plz. Triangle ABC is located in the first quadrant with coordinates of:
A: (6,3) B: (4,5) C: (2,2)
The triangle is translated 3 units to the right.
Which quadrant(s) is it now in?
What are the new coordinates?
A’: B’: C’:
Answer:
quadrant 1.
Step-by-step explanation:
A:(9,3)
B:(7,5)
C:(5,2)
hope this helped. have a good day.
Can someone please help me with this pleaseeeee ?!?!?!?!?! Don’t say nothing if you don’t know the answer
when choosing between one-tailed and two-tailed tests, group of answer choices use a two-tailed test only if you have a convincing reason for not predicting a direction. use the one that is most likely to produce significant results. use a one-tailed test only if you have a convincing reason for predicting the direction. always use two-tailed tests.
The recommended approach when choosing between one-tailed and two-tailed tests is to use a two-tailed test only.
The choice between a one-tailed or two-tailed test should be based on the research hypothesis and the specific question being investigated.
If you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.
If the research hypothesis or question does not make a clear directional prediction, then a two-tailed test would be appropriate.
This is because a two-tailed test will consider the possibility of significant results in both directions of the distribution.
And is more conservative in its estimation of significance.
If the research hypothesis or question does make a clear directional prediction, then a one-tailed test would be appropriate.
This is because a one-tailed test will only consider the possibility of significant results in one direction of the distribution.
And is more powerful in detecting significant results in that specific direction.
Therefore, the answer is to use a two-tailed test only if you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.
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Can you solve 17+4x<9
Answer:
x<-2
Step-by-step explanation:
17+4x<9
4x<-8
x<-2
The solution is:
↬ x < -2Work/explanation:
Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).
Make sure that all constants are on the right:
\(\bf{4x < 9-17}\)
\(\bf{4x < -8}\)
Divide each side by 4:
\(\bf{x < -2}\)
Hence, x < -23. The table displays 2015 data for the five most common infectious diseases Gardnerville, population 150,000. 9. 2010 1 2 3 4 5 6 7 Type A B C 8 9 10 D E F a. What is Gardnerville's 2015 mortality ra
The table displays 2015 data for the five most common infectious diseases in Gardnerville which is a population of 150,000. From the table, it can be noticed that the number of deaths resulting from infectious diseases ranges from 22 to 63.
Based on this information, the 2015 mortality rate for Gardnerville can be calculated as follows: Mortality Rate= Total number of deaths in Gardnerville in 2015/Population of Gardnerville in 2015. The total number of deaths recorded in Gardnerville is 168. Therefore, Mortality Rate= 168/150,000= 0.00112.The 2015 mortality rate of Gardnerville is 0.00112.
The 2015 mortality rate for Gardnerville was calculated based on the data table provided. The table displayed the number of deaths recorded for the five most common infectious diseases in Gardnerville, which has a population of 150,000. From the table, it can be seen that the number of deaths resulting from infectious diseases ranged from 22 to 63.Based on the data provided, it is possible to calculate the mortality rate for Gardnerville in 2015. The mortality rate was calculated using the formula: Mortality Rate= Total number of deaths in Gardnerville in 2015/Population of Gardnerville in 2015.From the data provided, the total number of deaths recorded in Gardnerville was 168. Therefore, the mortality rate for Gardnerville in 2015 was calculated as follows: Mortality Rate= 168/150,000= 0.00112.The mortality rate of Gardnerville in 2015 was 0.00112. This implies that for every 1,000 residents in Gardnerville, there was approximately 1 death resulting from infectious diseases in 2015.
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AC is a diameter of OE, the area of the
circle is 289 units2, and AB = 16 units.
Find BC and mBC.
B
A
C
E. plssss hurry !!
The measure of arc BC is 720 times the measure of angle BAC.
Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).
To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:
AB * BC = AC * CE
16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)
Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:
Area = π * r^2
289 = π * r^2
r^2 = 289 / π
r = √(289 / π)
Now, we can substitute the known values into the equation for the product of the segments:
16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8
To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.
mBC = 0.5 * m(arc BC)
To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:
arc BC = (mBC / 0.5) * 360
arc BC = 720 * mBC
Therefore, the length of the arc BC equals 720 times the length of the angle BAC.
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which of the following will increase the power of a statistical test? a. none of the other options will increase power b. change the variability of the scores from 20 to 100 c. change the sample size from n
Change the sample size from n will increase the power of a statistical test. The correct answer is C.
Increasing the sample size is one of the most effective ways to increase the power of a statistical test. With a larger sample size, there is a greater chance of detecting a true effect or rejecting a false null hypothesis.
This is because a larger sample provides more information and reduces sampling variability, leading to more precise estimates and increased statistical power.
The other options listed, such as changing the variability of the scores or changing the significance level, may have an impact on the statistical test but may not directly increase the power. Changing the variability of the scores may affect the precision of the estimates, but it may or may not increase the power of the test.
Similarly, changing the significance level affects the trade-off between Type I and Type II errors, but it does not directly increase the power. The correct answer is C.
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question#18
will give brainliest!
Answer:
the awnser is b
Step-by-step explanation:its b because it x2
the life expectancy of a particular brand of tire is normally distributed with a mean of 30,000 and a standard deviation of 6,000 miles. what is the probability that a randomly selected tire will have a life of at least 38,100 miles? a. 0.9115 b. 0.4115 c. 0.5885 d. 0.0885
The probability that a randomly selected tire will have a life of at least 38,100 miles is 0.9115.
What is probability?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is.
Let, the life expectancy of a particular brand of tire is normally distributed with a mean of 30,000 and a standard deviation of 6,000 miles.
So, μ = 30000, σ = 6000, x = 38100.
Therefore,
z = (x - μ) / σ
= (38100 - 30000) / 6000
= 8100 / 6000
= 81 / 60
z = 1.35
Now,
P(X = 38100) = P(z = 1.35) = 0.9115
Hence, the probability that a randomly selected tire will have a life of at least 38,100 miles is 0.9115.
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Name the plane represented by each surface of the box.
the top
Answer:
Hello the required image is missing attached below is the missing box
answer : FHGE
Step-by-step explanation:
The plane representing the top surface of the box is FHGE. there are still other planes there but do not represent the entire top surface of the Box and they are : FGE, HGE, FHG and FHE. This is because a plane can be represented by three to four Noncollinear points on a solid like a box.
A bottle of chocolate syrup says to mix 2 ounces of syrup with 8oz. of milk. If the bottle contains 32 ounces of syrup, how much chocolate milk will it make?
Answer:
128oz
Step-by-step explanation:
Ratios!
2oz syrup:8ozmilk
which simplifies to:
1oz syrup:4milk
32oz syrup: 4(32)milk
128oz. milk
Catherine rolls a 6-sided die five times, and the product of her rolls is 300. How many different sequences of rolls could there have been? (The order of the rolls matters.)
Answer:
There are 15 different sequences of rolls that could have resulted in a product of 300 when rolling a 6-sided die five times.
Step-by-step explanation:
To determine the number of different sequences of rolls Catherine could have had, we need to find the number of ways to express 300 as the product of five factors.
Let's factorize 300:
300 = 2 * 2 * 3 * 5 * 5
Now, we can assign these factors to the five rolls. Since the order of the rolls matters, we can use the concept of permutations.
We have two 2s, one 3, and two 5s. To find the number of different sequences, we need to calculate the permutations of these factors.
The number of permutations of five items taken from a set of two identical items, one identical item, and two identical items can be calculated using the formula:
P(n; n1, n2, ..., nk) = n! / (n1! * n2! * ... * nk!)
Where:
n is the total number of items (5 rolls)
n1, n2, ..., nk are the number of identical items (2, 1, 2)
Using this formula, we can calculate the number of different sequences of rolls:
P(5; 2, 1, 2) = 5! / (2! * 1! * 2!) = (5 * 4 * 3 * 2 * 1) / (2 * 1 * 1 * 2) = 60 / 4 = 15
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the denominator of a rational number is greater then it's numerator is increased by 11 and the denominator is decreased by 1, the new number becomes 7/3. find the rational number.
Answer:
7/3
7 is increased by 11 so you decrease it by 11
7-11= -4
3 is decreased by 1 so you increase it by 1
3+1= 4
-4/4
a rectangular compute screen is measured by the length of one of its diagonals what is the size of a computer screen in inches that is 36 inches long and 15 inches high
The size of the computer screen is approximately 15 inches by 32.77 inches.
We can use the Pythagorean theorem to solve this problem, which states that for a right triangle with legs of length a and b, and hypotenuse of length c, we have:
c^2 = a^2 + b^2
In this case, the diagonal is the hypotenuse, and the sides of the rectangle are the legs. Let's call the length of the diagonal d, the length of the screen l, and the height of the screen h. We know that d = 36 inches, l = 15 inches, and we want to find h.
Using the Pythagorean theorem, we have:
d^2 = l^2 + h^2
(36 inches)^2 = (15 inches)^2 + h^2
1296 square inches = 225 square inches + h^2
h^2 = 1071 square inches
h = sqrt(1071) inches
h ≈ 32.77 inches
Therefore, the size of the computer screen is approximately 15 inches by 32.77 inches.
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how would you convert 7/8 into a decimal
Answer:
0.875
Step-by-step explanation:
What is an example of a linear function table?.
An example of a linear function table is y=3x
A linear function is used to relate an independent variable and a dependent variable by introducing a rate of change(function) of which the independent variable is equated to find the dependent variable. Linear functions are those whose graph is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.
for example:
y=3x hence is the dependent variable as it depends on the change of x and 3 is the rate of change which is a constant and is determined by the division of the values of y/x hence to make a table of y over x of which y is determined by the rate of change the unrelated variable x, 3.
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Suppose you have a mean = 12 and a standard deviation = 3. What is the probability that a data member, x, is above 18?
Answer:
I dont knowsorry
how many degrees does the minute hand of a clock turn in 45 minutes
The clock minutes rotate 270 degrees in 45 minutes.
How to calculate the angular size of a clock's handsWhile rotating, the clock's hands are seen to move at a speed of six degrees per minute.
The number of degrees for a clock minute is solved by
60 minutes = 360 degrees
1 minute = ?
cross multiplying
60 * ? = 360
? = 360 / 60
? = 6
hence 1 minute is 6 degrees
The formula to use to get the calculation is multiplying the number of minutes by 6
Number of degrees in 45 minutes = 45 * 6
Number of degrees in 45 minutes = 270 degrees
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A car wash detailed 288 cars in 8 hours. At what rate did the car wash detail cars in cars per hour?
A.
34 cars per hour
B.
37 cars per hour
C.
36 cars per hour
D.
35 cars per hour
Answer:
a
Step-by-step explanation:
Which table shows a proportional relationship between X and Y?
Answer: 4th option (the one already selected)
Step-by-step explanation: as the X variable changes by 7 the Y variable changes by 1