The value of x in the expression is 3 / 2.
How to find the quotient in an expression?The value of x in the expression can be found as follows:
Therefore, the quotient rule can be used to find the value of quotient x in the expression as follows:
q⁵ × q²ˣ = q¹⁰ × q⁶ / q⁸
Using the quotient rule
\(A^{x} X A^{y} = A^{x + y}\)
Therefore,
q⁵ × q²ˣ = q¹⁰ × q⁶ / q⁸
q⁵⁺²ˣ = q¹⁶ / q⁸
q⁵⁺²ˣ = q⁸
cancel the base
5 + 2x = 8
2x = 8 - 5
2x = 3
divide both sides of the equation by 2
x = 3 / 2
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3)
The probability that Max does not bring his calculator to Maths lesson is 0.2.
Complete the tree diagram for two successive lessons.
Step-by-step explanation:
that's it b is for brings
b compliment is for doesn't bring
I hate math I'm dumbbb
Answer:
Domain is x and range is y
What is the solution to -3x+5?
Answer:
x = 5/3
Step-by-step explanation:
-3x+5
-5= -3x
-5/-3 = 5/3
PLEASE HELP ME ASAP!!!
ty :)
Answer:
a' (4,5)
b' (6,3)
c' (3,2)
Answer:
translate down the y axis A will be 2,2 B will be 4,0 and c will be 1,-1
Continued questions:
g. For the data set: {12, 6, 9, 5, 11} find the interquartile range?
h. For the data set: (10, 8, 14, 17, 7} find the third quartile.
i. For the data set: (14, 11, 9, 3, 12} find the third quartile.
For the data set: {3, 8, 9, 11, 5} find the interquartile range.
a) The mean for the given data is 11.44
b) The median for the given data is 11
c) The mode for the given data is 11
d) The maximum score received by a student is 18
e) The minimum score received by a student is 3
f) The range for the given data is 15
g) The interquartile range for the given data set {12, 6, 9, 5, 11} is 6
h) The third quartile for the given data set {0, 8, 14, 17, 7} is 15.5
i) The third quartile for the given data set {14, 11, 9, 3, 12} is 13
j) The interquartile range for the given data set {3, 8, 9, 11, 5} is 6
What is meant by interquartile range?The interquartile range is a measure of statistical dispersion in descriptive statistics, which is the spread of the data. The IQR is also known as the middle 50% spread, the fourth spread, or the H-spread.
a) Mean=(12+8+11+10+6+7+10+13+14+15+9+18+17+15+3+11+11)/18
=11.44
Therefore, mean=11.44
b) Median= n is even
Then,
((n/2 )th +((n/2)+1)th)/2
=(11+11)/2
=11
Therefore, median=11
c) Mode= The number that is repeated highest number of times
Mode=11
Therefore, mode=11
d) The maximum score received by a student is 18
e) The minimum score received by a student is 3
f) Range=maximum-minimum
=18-3
=15
Therefore, Range=15
g) Median=9
Q₁=(5+6)/2=5.5
Q₃=(11+12)/2=11.5
Interquartile range=|Q₃-Q₁|
=|11.5-5.5|
=6
The interquartile range for the given data set {12, 6, 9, 5, 11} is 6
h) Median=10
Q₃=(14+17)/2=15.5
The third quartile for the given data set {0, 8, 14, 17, 7} is 15.5
i) Median=11
Q₃=(12+14)/2=13
The third quartile for the given data set {14, 11, 9, 3, 12} is 13
j) Median=8
Q₁=(3+5)/2=4
Q₃=(9+11)/2
Interquartile range=|Q₃-Q₁|
=|10-4|
=6
The interquartile range for the given data set {3, 8, 9, 11, 5} is 6
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Given that x+y=60, the maximum value of x2y is
The value of x for this maximum value is Answer
Answer:
y3 - 120 y2 + 3600 y.
Step-by-step explanation:
Rearrange like terms to the same side of the equation:x2 yx = 60 - ySubstitute:60 - y2 yExpand the e.
hope this helps.
Help me pleassssssssssssssss
Answer:
C
Step-by-step explanation:
The following algebraic expression is given: 1 xy + 5y + 2x + 10 2.1 What do you notice about all 4 terms?
Answer: linear combo of terms involving x & y, with respective numbers determining their contribution to the expression
calculate the average fixed cost at the shanghai factory if the 2020 output level (= 35,000 cars annually) were maintained for 10 years.
Fixed costs are expenses that remain constant regardless of the level of production. The calculation of average fixed costs (AFC) is obtained by dividing the total fixed cost by the number of units produced.
AFC provides the amount per unit that the company will spend on fixed costs to produce a given quantity of output. Therefore, to calculate the average fixed cost at the Shanghai factory if the 2020 output level (= 35,000 cars annually) were maintained for ten years, we will first calculate the total fixed costs.
The formula for calculating average fixed cost (AFC) is:
Average Fixed Cost (AFC) = Total Fixed Cost / Quantity ProducedTotal Fixed Cost is obtained by multiplying the fixed cost per unit with the total number of units produced.
Total Fixed Cost (TFC) = Fixed Cost per Unit × Number of Units ProducedThe problem does not provide any information about the fixed cost per unit, which is why it cannot be calculated.
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To calculate the average fixed cost at the Shanghai factory, divide the total fixed costs by the output level. For a given output level of 35,000 cars annually maintained for 10 years, the average fixed cost would be $285.71 per car.
Explanation:To calculate the average fixed cost at the Shanghai factory, we need to divide the total fixed costs by the output level. Since the question specifies that the output level is 35,000 cars annually and we want to maintain this level for 10 years, we can calculate the average fixed cost as follows:
Calculate the total fixed cost for the 10 years by multiplying the fixed cost per year by the number of years. Let's say the fixed cost per year is $1 million. So, the total fixed cost for 10 years would be $1 million x 10 years = $10 million.Divide the total fixed cost ($10 million) by the output level (35,000 cars) to get the average fixed cost per car.So, the average fixed cost at the Shanghai factory would be $10 million / 35,000 cars = $285.71 per car.Learn more about average fixed cost here:
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What is the surface area of the solid?
A. 180 square centimeters
B. 232 square centimeters
C. 236 square centimeters
D. 212 square centimeters
E PREVIOUS
Answer:
D
Step-by-step explanation:
4x5+4×12+12×6×2=212
A company's stock was selling at $24a share. A month later, it was selling at $30 a share. What is the Percent gain
Please answer
What question can be answered by finding 10 divided by 2 11/20
The question that can be answered by finding 10 divided by 2 11/20 is "What is the simplified value of 10 divided by 2 11/20?" and the answer is "7 43/51".
What is mixed number?A mixed number is a representation of both a whole integer and a legal fraction. In most cases, it denotes an integer that falls between any two whole numbers. Look at the illustration; it shows a fraction that is larger than 1 but less than 2 (see the given image). Therefore, it is a composite number.
The expression "10 divided by 2 11/20" can be simplified as a mixed number or fraction as follows:
10 divided by 2 11/20 = 10 ÷ (2 + 11/20)
= 10 ÷ (40/20 + 11/20)
= 10 ÷ (51/20)
= 10 × (20/51)
= 400/51
= 7 43/51 (in mixed number form)
Therefore, the question that can be answered by finding 10 divided by 2 11/20 is "What is the simplified value of 10 divided by 2 11/20?" and the answer is "7 43/51".
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Find the distance between the points (-4,1) and ( – 4, -8).
Answer: 9 units
Step-by-step explanation:
If you draw this one out, you should be able to notice that it is only a vertical distance it travels, which means that the difference in y-units should give you the distance.
Math problem need help on this
Answer:
What is the question?.
Step-by-step explanation:
I didn't see any MatHS problem.
What is the area of the triangle?
5
3
units?
Kesia is practicing her free throws. She made 5/8 of the shots she took at basketball practice today. use long division to find the decimal equivalent of 5/8/. ?
Answer:
0.625
Step-by-step explanation:
Answer:
0.625
Step-by-step explanation:
hope it helped!
Dr Leon is a chiropractor who offers house calls to his patients. He uses the function c(m) = 26m + 60 to calculate the total medical bill ( in dollars) ,c( m) , for each 20 - min session,m. During the holidays, Dr Leon changes his total medical bill function to c(m) = 35m + 45.
Answer: The total medical bill function for Dr. Leon is given by:
c(m) = 26m + 60
During the holidays, Dr. Leon changes his total medical bill function to:
c(m) = 35m + 45
We can compare the two functions to see how they differ:
c(m) = 35m + 45 (holiday pricing)
c(m) = 26m + 60 (regular pricing)
To calculate the difference in cost between the two pricing plans, we can subtract the regular pricing from the holiday pricing:
c(m) - c(m) = (35m + 45) - (26m + 60)
= 9m - 15
Therefore, the difference in cost between the two pricing plans is 9m - 15 dollars per 20-minute session. For any given value of m, we can use this expression to calculate the difference in cost between the two pricing plans.
Step-by-step explanation:
Tell me which option is correct: (0,m) (b,0) (m,0) (0,b) which one of those
Answer:
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Class 11
>>Physics
>>Units and Measurement
>>Errors in Measurement
>>You measure two quantities ...
Question
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You measure two quantities as A=1.0m±0.2m, B=2.0m±0.2m. We should report correct value for
AB
as
Medium
Solution
verified
Verified by Toppr
Correct option is
D
1.4m±0.2m
Here, A=1.0m±0.2m, B=2.0m±0.2m
AB=(1.0m)(2.0m)=2.0m
2
AB
=
2.0m
=1.414m
Rounding off to two significant figures, we get
AB
=1.4m
AB
ΔAB
=
2
1
(
A
ΔA
+
B
ΔB
)=
2
1
(
1.0
0.2
+
2.0
0.2
)=
2
0.3
Δ
AB
=
2
0.3
×
AB
=
2
0.3
×1.414=0.212m
Rounding off to one significant figure, we get
Δ
AB
=0.2m
The correct value for
AB
is 1.4m±0.2m
g(h(-1))
Given :
f (x) = 6x^3+ 12x^2– 2x + 8
g(x) = x + 2
h(x) = -3x^2+ 5
Answer:
jdnkwf
Step-by-step explanation:
If a confidence interval for the population mean from an SRS is (16.4, 29.8), the sample mean is _____. (Enter your answer to one decimal place.)
The sample mean is approximately 23.1.
Given a confidence interval for the population mean of (16.4, 29.8), we can find the sample mean by taking the average of the lower and upper bounds.
The sample mean = (16.4 + 29.8) / 2 = 46.2 / 2 = 23.1.
Therefore, the sample mean is approximately 23.1.
The confidence interval provides a range of values within which we can be confident the population mean falls. The midpoint of the confidence interval, which is the sample mean, serves as a point estimate for the population mean.
In this case, the sample mean of 23.1 represents our best estimate for the population mean based on the given data and confidence interval.
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Four students grafted one linear function each
Step-by-step explanation:
The answer is attached in this photo
a) Determine the point at which the line passing through the points P(1, 0, 6) and Q(9, −1, 9) intersects the plane given by the equation x + y − z = 11.
b) Determine an equation for the plane passing through the three points P(2, 0, 1), Q(0, 4, −1), and R(−1, 3, 0).
c) Determine an equation for the plane passing through the point P(−4, 3, 0) and containing the line with parametric equations x = 3 + 5t, y = 1 − 3t, and z = −2 + 7t.
(a) The point of intersection lies on the line passing through P and Q and is (9, -1, 9).
(b) The equation of the plane passing through the three points P(2, 0, 1), Q(0, 4, −1), and R(−1, 3, 0) is 2x + 4y + 6z = 20.
(c) The equation of the plane passing through the point P(-4, 3, 0) and containing the line with parametric equations x = 3 + 5t, y = 1 − 3t, and z = −2 + 7t is 101x + 135y + 65z = -14260.
(a)
Find the direction vector of the line by subtracting the coordinates of P from the coordinates of Q:
direction vector = Q - P = (9, -1, 9) - (1, 0, 6) = (8, -1, 3)
Substitute the coordinates of an arbitrary point on the line into the equation of the plane and solve for the parameter t:
x + y − z = 11
(1 + 8t) + (0 - t) - (6 + 3t) = 11
4t - 4 = 0
t = 1
Substitute the value of t found in step 2 into the equations for x, y, and z to get the coordinates of the point of intersection:
x = 1 + 8t = 9
y = 0 - t = -1
z = 6 + 3t = 9
So, the point of intersection is (9, -1, 9).
Check that the coordinates of the point of intersection lie on the line by substituting them into the equation for the line and verifying that the parameter t equals 1:
(9 - 1) / 8 = (-1 - 0) / (-1) = (9 - 6) / 3 = 1
Since t equals 1, the point of intersection lies on the line passing through P and Q.
(b)
Find two direction vectors for the plane by subtracting the coordinates of P from those of Q and R:
u = Q - P = (0, 4, -1) - (2, 0, 1) = (-2, 4, -2)
v = R - P = (-1, 3, 0) - (2, 0, 1) = (-3, 3, -1)
Find the normal vector of the plane by taking the cross product of the direction vectors u and v:
n = u x v = (-2, 4, -2) x (-3, 3, -1) = (2, 4, 6)
Use the point-normal form of the equation of a plane to find the equation of the plane, using any of the given points, say P:
(x - 2, y - 0, z - 1) · (2, 4, 6) = 0
2(x - 2) + 4y + 6(z - 1) = 0
2x + 4y + 6z = 20
(c)
Find two direction vectors for the plane by taking two different points on the line and subtracting their coordinates:
direction vector 1 = (8, -6, 14) - (3, 1, -2) = (5, -7, 16)
direction vector 2 = (13, -8, 21) - (3, 1, -2) = (10, -9, 23)
Note that these direction vectors are parallel to the plane because they are also parallel to the line contained within it.
Find the normal vector of the plane by taking the cross product of the direction vectors:
n = direction vector 1 x direction vector 2 = (5, -7, 16) x (10, -9, 23) = (101, 135, 65)
Use the point-normal form of the equation of a plane to find the equation of the plane, using the given point P:
(x + 4, y - 3, z) · (101, 135, 65) = 0
101(x + 4) + 135(y - 3) + 65z = 0
101x + 135y + 65z = -14260
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HELP!!! Please I have a timer
help plz i’ll give extra points
Answer:
0
Step-by-step explanation:
Y-intercept is when the slope touches the y-axis and it touches it at 0.
Answer:
y = 4
its also y = 4 x
Step-by-step explanation:
UPDATE:
the answer was 0 according to some ppl.
**question 2\.\** using a simulation with 10,000 trials, assign num different to the number of times, in 10,000 trials, that two words picked uniformly at random (with replacement) from pride and prejudice have different lengths.
The value of `num_different` will represent the number of times, in 10,000 trials, that two words picked uniformly at random from "Pride and Prejudice" have different lengths.
To find the number of times, in 10,000 trials, that two words picked uniformly at random from "Pride and Prejudice" have different lengths, we can use a simulation.
Here's how you can do it:
Define a function that randomly selects two words from "Pride and Prejudice" and checks if they have different lengths.
Set a counter variable to keep track of the number of times the words have different lengths.
Run a loop for 10,000 trials.
In each trial, call the function to select two words randomly.
If the lengths of the two words are different, increment the counter.
After running all the trials, the counter will hold the number of times the words had different lengths.
Print the value of the counter.
Here is a Python code snippet that demonstrates the simulation:
```python
import random
def different_lengths():
words = ['Pride', 'and', 'Prejudice']
word1 = random.choice(words)
word2 = random.choice(words)
return len(word1) != len(word2)
counter = 0
for _ in range(10000):
if different_lengths():
counter += 1
print
("Number of times two words had different lengths:", counter)
```
Running this simulation will give you the number of times, out of 10,000 trials,
that two words picked uniformly at random from "Pride and Prejudice" have different lengths.
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When a researcher needs to estimate the likelihood of a certain outcome, the method typically employed is
A)Time series design
B)Predictive design
C)Experimental design
D)Qualitative design
The required method typically employed is C) Experimental design.
What is Likelihood?The probability value is utilized as a measure of the merit of the parameter selection, and the parameter set with the highest likelihood is the best option given the available data.
According to question:Experimental design is typically employed when a researcher needs to estimate the likelihood of a certain outcome.
In an experimental design, the researcher manipulates one or more independent variables to determine the effect on a dependent variable, which is the outcome being studied.
The researcher can then use this information to make an estimate of the likelihood of the outcome under different conditions. This is the most commonly used method in the natural and social sciences to determine cause-and-effect relationships and make predictions about future outcomes.
Thus, Suitable option is C)Experimental design.
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Sides of a triangle are in the ratio 12:17:25 and its perimeter is 540 cm. Find its area
Answer:
102
Step-by-step explanation:
(b•h)/2
(12•17)/2
204/2
differences between mean and median 1. you're given n = 5 measurements: 0, 7, 1, 1, 4. find the mean, median, and mode. show your work (don't use the calculator; show the calculations.) (2 points)
The mode of this set of numbers is 1,the median of this set of numbers is 1.
Mean: To find the mean of this set of 5 numbers, we first add them together and divide by the number of measurements. 0 + 7 + 1 + 1 + 4 = 13. 13 divided by 5 (the number of measurements) is 2.6. Therefore, the mean of this set of numbers is 2.6.
Median: To find the median of this set of 5 numbers, we first need to arrange them in order from least to greatest. 0, 1, 1, 4, 7. The median is the middle number, so it is 1. Therefore, the median of this set of numbers is 1.
Mode: To find the mode of this set of 5 numbers, we need to look for the number that appears most often. In this set, the number 1 appears twice while the rest of the numbers appear only once. Therefore, the mode of this set of numbers is 1.
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define a positive integer n to be a factorial tail if there is some positive integer m such that the decimal representation of m! ends with exactly n zeroes. how many positive integers less than 1992 are not factorial tails?
On solving the provided question, we can say that there are 7975/5 - 1595 distinct positive number f(m) less than 1992, 1991-1595 = 396 positive integer.
What is integer?Zero, a positive integer, or a negative integer denoted by a minus sign are all examples of integers. A negative number is the additive reciprocal of a positive number that it corresponds to. A bold Z or a bold "mathbb Z" is frequently used in mathematical notation to denote a group of integers. A positive, negative, or zero integer—not a fraction—is referred to as an integer (pronounced IN-tuh-jer). The numbers -5, 1, 5, 8, 97, and 3,043 are examples of integers. 1.43, 1 3/4, 3.14, and other numbers are non-integer examples. Integers are a collection of integers and their antipodes. Decimals and fractions are not part of the set of integers.
suppose number of zeroes m! be f(m)
f(m) = m/5 + m/25 + m/125 + m/625 + ...
f(m) = f(m+1) = f(m+2) = f(m+3) = f(m+4)
since, f(m)< m/5 + m/25 + m/125 + m/625 + ... = m/4
f(7975) = 1991
there are 7975/5 - 1595 distinct positive number f(m) less than 1992, 1991-1595 = 396 positive integer
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Multiply using PARTIAL products with decimals method to solve each one.
thanks