Answer:
Sam's commission for last month can be calculated as follows:
Commission = 3% of sales
Commission = 3/100 * $46,400
Commission = $1,392
Therefore, Sam's total income for last month would be his salary plus commission:
Total income = Salary + Commission
Total income = $1,950 + $1,392
Total income = $3,342
So Sam earned $3,342 in total for last month.
Step-by-step explanation:
(4.2x10^6)(1.1x10^7)
Answer:4.62x10^13
Step-by-step explanation:
I need help with this question
The length of the legs of the right triangle are 2.83 units.
How to find the side of a right triangle?A right tangle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.
Therefore, the legs of the triangle can be found using trigonometric ratios.
Hence,
sin 45 = opposite / hypotenuse
sin 45 = a / 4
cross multiply
a = 4 × 0.70710678118
a = 2.83 units
Therefore,
cos 45 = b / 4
cross multiply
b = 0.70710678118 × 4
b = 2.82842712475
b = 2.83 units
Therefore, the legs are 2,83 units
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how to solve hcf a^2+5a+6
Answer:
a²-a+6a+6=0
a(a-1)+6(a-1)=0
(a-1)(a+6)=0
a=1,a=-6
what is a type ii error? rejecting a false null hypothesis accepting a false alternate hypothesis rejecting a false alternate hypothesis failing to reject a false null hypothesis
A type II error is a statistical term used to describe the failure to reject a false null hypothesis. It occurs when the null hypothesis is actually false but is not rejected because the statistical test failed to find significant evidence against it.
In other words, it happens when an alternative hypothesis is true, but we fail to reject the null hypothesis.
Types of errors in hypothesis testing
There are two types of errors in hypothesis testing:
Type I error: Rejecting a true null hypothesis
Type II error: Failing to reject a false null hypothesis.Type I error occurs when a true null hypothesis is rejected while Type II error occurs when a false null hypothesis is not rejected. These types of errors are inversely related, meaning that a decrease in one type of error causes an increase in the other.
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The most common purpose for Pearson correlational is to examine
For Pearson correlation the most common purpose to examine is given by option a. The relationship between 2 variables.
The Pearson correlation is a statistical measure that indicates the extent to which two continuous variables are linearly related.
It measures the strength and direction of the relationship between two variables.
Ranging from -1 perfect negative correlation to 1 perfect positive correlation.
And with 0 indicating no correlation.
It is commonly used in research to examine the association between two variables.
Such as the relationship between height and weight, or between income and education level.
Therefore, the most common purpose of a Pearson correlation is to examine the relationship between 2 variables.
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The above question is incomplete, the complete question is:
The most common purpose for a Pearson correlation is to examine,
a. The relationship between 2 variables
b. Relationships among groups
c. Differences between variables
d. Differences between two or more groups
Question 16 of 20 True or false: An experiment repeated 3 times would be less reliable than an experiment repeated 10 times.
An Experiment is repeated 10 times compared to just 3 times, the results from the 10 repetitions would generally be considered more reliable.
True.
In general, conducting an experiment multiple times increases the reliability of the results. The more times an experiment is repeated, the greater the opportunity to collect data and observe patterns or trends. This allows for a more robust analysis and reduces the impact of random variations or errors that may occur in a single trial.
When an experiment is repeated multiple times, it helps to reduce the effects of outliers or anomalies that may occur in a single trial. By averaging the results over multiple repetitions, the overall outcome tends to be more representative and reliable.
In the context of statistical analysis, increasing the sample size (number of repetitions) can lead to more precise estimates of parameters and reduce the margin of error. It provides a better understanding of the underlying phenomenon being studied and allows for more confident conclusions.
Therefore, if an experiment is repeated 10 times compared to just 3 times, the results from the 10 repetitions would generally be considered more reliable. The larger sample size provides a stronger basis for drawing conclusions and making inferences about the population or phenomenon under study.
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In a two-digit number, the units digit is 5 more than the tens digit. The number is 6 less than 4 times the sum of the digits. Find the number.
Answer:
Tens digit, x = 3
Unit digit, y = 8
Number = 38
Step-by-step explanation:
Let the 2 digit number = xy
y = x + 5 - - - (1)
10x + y = 4(x + y) - 6
10x + x + 5 = 4(x + x + 5) - 6
11x + 5 = 4(2x + 5) - 6
11x + 5 = 8x + 20 - 6
11x + 5 = 8x + 14
11x - 8x = 14 - 5
3x = 9
x = 9/3
x = 3
From (1)
y = x + 5
y = 3 + 5
y = 8
Determine the type of dilation shown and the scale factor used.
Enlargement with scale factor of 1.5
Enlargement with scale factor of 2.5
Reduction with scale factor of 1.5
Reduction with scale factor of 2.5
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
Here we go ~
Ratio of side of bigger rectangle to that to corresponding side of smaller rectangle (as they are similar) is :
\(\qquad \sf \dashrightarrow \: \dfrac{15}{6} \)
\(\qquad \sf \dashrightarrow \: 2.5\)
So, the bigger rectangle is a scaled up version of the smaller version with a scale factor of 2.5
So, our required answer will be :
Enlargement with scale factor of 2.5
When an object is removed from a furnace and placed in an environment with a constant temperature of 70°F, its core temperature is 1500°F. One hour after it is removed, the core temperature is 1170°F. (a) Write an equation for the core temperature y of the object t hours after it is removed from the furnace. (Round your coefficients to four decimal places.)
Answer:45 I think
Step-by-step explanation:
Find the missing term of the following arithmetic sequence.
...5,_?_,29, ...
Answer:
13, 21
Step-by-step explanation:
d = (29 - 5)/3
d = 8
5 + 8 = 13
13 - 8 = 21
solve the inequality and graph the solution -2x + 5 < 9
Step-by-step explanation:
I think it is done by this process . the steps are shown in the picture
A garden has only tomato and cucumber plants. There are 12 tomato plants and 5 cucumber plants.
What is the ratio of the number of cucumber plants to the total number of plants?
The Pythagorean Theorem.
∴p∵l∴e∵a∴s∵e∴h∵e∴l∵p∴
i don't understand
Answer:
I honestly don't know the answer but I'll try to help you understand the formula.
Step-by-step explanation:
for you to find the missing length of the hypotenuse you need to get your other 2 sides and multiply them by themselves/ square. After that you want to add them together. Now you have to find the square root of that total number which will be your length.
√a2+b2
hope this somehow helps
Main Street Bookstore has 3,132 books. They have 4 times as many books as Water Street Bookstore. Water Street Bookstore has 489 fewer books than Elm Street Bookstore. How many books does Elm Street Bookstore have?
Answer: Elm Street Bookstore has 1,272 books.
Step-by-step explanation:
Read the problem: Main Street Bookstore has 3,132 books. They have 4 times as many books as Water Street Bookstore. Water Street Bookstore has 489 fewer books than Elm Street Bookstore. How many books does Elm Street Bookstore have?
Highlight facts: Main Street Bookstore has 3,132 books. They have 4 times as many books as Water Street Bookstore. Water Street Bookstore has 489 fewer books than Elm Street Bookstore. How many books does Elm Street Bookstore have?
Draw a picture: I drew a diagram to represent the relationships between the bookstores.
Assign variables: Let x be the number of books that Elm Street Bookstore has, y be the number of books that Water Street Bookstore has, and z be the number of books that Main Street Bookstore has.
Write equations: Based on the facts, I can write three equations:
z = 4y (Main Street Bookstore has 4 times as many books as Water Street Bookstore)
y = x - 489 (Water Street Bookstore has 489 fewer books than Elm Street Bookstore)
z = 3,132 (Main Street Bookstore has 3,132 books)
Solve for x: I can substitute y and z in the first equation with the expressions from the second and third equations:
3,132 = 4(x - 489)
Simplify and solve for x:
3,132 = 4x - 1,956
5,088 = 4x
x = 1,272
Check the answer: I can plug in x = 1,272 in the other equations and see if they are true:
y = x - 489
y = 1,272 - 489
y = 783
z = 4y
z = 4(783)
z = 3,132
All the equations are true, so x = 1,272 is the correct answer.
Hope this helps, and have a great day! =)
If f(x) = x4 − x3 + x2 and g(x) = −x2, where x ≠ 0, what is (f ⁄g)(x)? m
Answer:x − x^{2} − 1.
Step-by-step explanation:
.
The generic metal A forms an insoluble salt AB(s) and a complex AC5(aq). The equilibrium concentrations in a solution of AC5 were found to be [A] = 0. 100 M, [C] = 0. 0360 M, and [AC5] = 0. 100 M. Determine the formation constant, Kf, of AC5. The solubility of AB(s) in a 1. 000-M solution of C(aq) is found to be 0. 131 M. What is the Ksp of AB?
Which value below shows the strongest correlation?
A. 0.72
B. 0.35
C. 0.91
D. 0.99
E. 0.88
F. 0.29
G. 0.06
H. -0.55
Answer:
The answer is D. = 0.99
Mr.Rios took his family to dinner the food amounted to $75.00 the restaurant also charges a %4 tax because the service was great he decided to leave the server an 18% tip
Answer:
what is your question
Step-by-step explanation:
Noa was paid a 25 percent commission for selling a used car.
Percents
Total
100%
If she was paid $1,631.24, what was the selling price of the car?
A. $4,078.10
B. $6,524.96
C. $8,156.20
D. $40,781.00
Answer:
b. $6,524.96
Step-by-step explanation:
$1,631.24 x 4 equals $ $6,524.96
If the lifetime X of a certain kind of automobile battery is normally distributed with a mean of 5 years and a standard deviation of 1 year, and the manufacturer wishes to guarantee the battery for 4 years, what percentage of the batteries will he have to replace under the guarantee? If the standard deviation in Prob. 5 were smaller, would that percentage be larger or smaller?
The manufacturer will have to replace a certain percentage of the batteries that fail within the guaranteed period. To determine this percentage, we can use the properties of the normal distribution.
Given that the mean lifetime of the batteries is 5 years and the standard deviation is 1 year, we know that approximately 68% of the batteries will have a lifetime within one standard deviation of the mean (between 4 and 6 years), and approximately 95% will have a lifetime within two standard deviations (between 3 and 7 years). Since the manufacturer guarantees the battery for 4 years, any battery that fails within this period will need to be replaced. Therefore, the manufacturer will have to replace approximately 16% (68% - 52%) of the batteries under the guarantee.
If the standard deviation were smaller, it would result in a smaller percentage of batteries being replaced under the guarantee. A smaller standard deviation indicates less variability in the lifetime of the batteries. This means that the majority of batteries would have lifetimes closer to the mean, and fewer batteries would fall below the guaranteed period. As a result, the percentage of batteries needing replacement would decrease. In other words, a smaller standard deviation implies a smaller likelihood of batteries failing within the guaranteed period, reducing the manufacturer's replacement rate.
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Answer:
C and H
Explanation:
All others are not the same shape, they tend to be pointing in different directions.
Answer:
a c h g f
Step-by-step explanation:
What is the value of x in the equation -2/3x9=-3
Answer:
your equation is false
Simplify 4/9 - 5/12 + 1/4
Answer:
5/18
Step-by-step explanation:
The simplified answer is 5/18
Step-by-step explanation:
the answer is
0.27777777777
Find the equation of the linear function z=c+mx+ny whose graph intersects the xz - plane in the line z=4x+10= and intersects the yz - plane in the line z=6y+10
The equation of the linear function is:
z = 10 + 4x + 6y
To find the equation of the linear function, we need to determine the values of c, m, and n in the function z = c + mx + ny.
Since the graph of the function intersects the xz-plane at z = 4x + 10 and the yz-plane at z = 6y + 10, we can use these equations to find the values of c, m, and n.
When the graph intersects the xz-plane (y = 0), we have:
z = c + mx + n(0) = c + mx
Comparing this with z = 4x + 10, we can equate the coefficients:
c = 10 (the constant term)
m = 4 (the coefficient of x)
When the graph intersects the yz-plane (x = 0), we have:
z = c + m(0) + ny = c + ny
Comparing this with z = 6y + 10, we can equate the coefficients:
c = 10 (the constant term)
n = 6 (the coefficient of y)
Therefore, the equation of the linear function is:
z = 10 + 4x + 6y
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what is the initial value of the function:
f(x)=3/2(2)^x
Answer:
the initial value -- f(0) -- results in a value of 1.5
Step-by-step explanation:
f(0) = \(\frac{3}{2}\) · \(2^{x}\) (any value raised to the power of zero equals one)
f(0) = \(\frac{3}{2}\) · 1
f(0) = 3/2 or 1.5
construct potential hypotheses or research questions to relate the variables in each of the following examples. also, write a brief statement explaining why you believe there is a relationship between the variables as specified in your hypotheses.
Construct potential hypotheses or research questions to relate the variables in each of the following examples -
Political party and support of the affordable care act -
Given this, there can be a relationship between the ideological group and the support of the moderate consideration act.that various ideological groups may support various types of government disability conspiracies and might have various goals.A few gatherings might focus on a list of topics or problems and might provide serious thought at some random time.which might facilitate the implementation of the Affordable Care Act, while others would be gradually forgiving toward such arrangements.The implementation and success of the Affordable Care Act may depend on the rise of certain ideological movements.and their ability to express what they think about the Act's purpose.
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What is the perimeter of a rectangle with a length of 6 and a width of 5?
Answer:
\(\huge\boxed{Answer\hookleftarrow}\)
Given,
Length of the rectangle (l) = 6
Width of the rectangle (w) = 5
Perimeter of the rectangle (p) = ?
\(p = 2(l + w) \\ p = 2(6 + 5) \\p = 2(11) \\ p = 2 \times 11 \\ p = 22 \: \: units\)
⎆ The perimeter of the rectangle (p) is 22 units.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
plot points H I and J on the coordinate plane
In order to plot points H I and J on the coordinate planeIdentify the x-coordinate and y-coordinate of each point (H, I, and J). For example, let's say the coordinates are as follows:
Point H: (xH, yH)
Point I: (xI, yI)
Point J: (xJ, yJ)
How to explain the informationLocate the origin (0, 0) on the coordinate plane. This is the starting point for plotting any point.
Move along the x-axis according to the x-coordinate of each point. If the x-coordinate is positive, move to the right; if it's negative, move to the left. Mark a point on the x-axis at the appropriate location.
Move along the y-axis according to the y-coordinate of each point. If the y-coordinate is positive, move upward; if it's negative, move downward. Mark a point on the y-axis at the appropriate location.
The point where the x and y axes intersect is the location of the point. Mark that point on the coordinate plane.
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How to Plot points H I and J on the coordinate plane
answer?...................
Answer:
a) The number of CDs Ahmed has
Hope it helps...
Find the limit. Use l'Hospital's Rule
lim θ→π/2
1 − sin(θ)/
1 + cos(6θ)
Answer: To apply l'Hospital's Rule, we need to take the derivative of the numerator and denominator separately with respect to θ.
Taking the derivative of the numerator:
d/dθ [1 - sin(θ)] = -cos(θ)
Taking the derivative of the denominator:
d/dθ [1 + cos(6θ)] = -6 sin(6θ)
Now we can apply l'Hospital's Rule by taking the limit of the ratio of the derivatives:
lim θ→π/2 (-cos(θ)) / (-6 sin(6θ))
When θ approaches π/2, cos(θ) approaches 0 and sin(6θ) approaches 1. Therefore, the limit simplifies to:
= 0 / (-6)
= 0
Hence, the limit of (1 - sin(θ)) / (1 + cos(6θ)) as θ approaches π/2 is 0.