Answer:
4 5/6
Step-by-step explanation:
\(3 \frac{1}{3} + 1 \frac{1}{2} \)
to find:the simplest form.
solution:\( \frac{10}{3} + \frac{3}{2} \)
\( = \frac{(10 \times 2) + (3 \times 3)}{3 \times 2} \)
\( = \frac{20 + 9}{6} \)
\( = \frac{29}{6} \)
\( = 4 \frac{5}{6} \)
translate to algebraic: Two times rhe sum of x and 3
The answer is 2(x+3)
hope it helps!
Answer:
2x + 6
Step-by-step explanation:
2(x +3)
2x +6
multiply x by 2=2x
multiply 3×2=6
2x +6
the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model. t or f
True. the interpretation of the slope is different in a multiple linear regression model as compared to a simple linear regression model.
what is slope in statistics?The slope and intercept of a line reveal the steepness of the line and the location in which it intersects an axis. The slope and intercept of the logistic relationship of the two variables can be utilized to get the average change rate. The ratio of a change in the variable y to the rise in the x component is known as the the line's slope.
Briefing:Y = a + bX, where X seems to be the mediating variable and Y is the response variable, is the equation of a linear regression line. A is the intersection (the result of y for x = 0), and b is the line's slope.
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Help please with this bath problem the picture above
Answer:
a relation that is a function
Step-by-step explanation:
Please answer the questions in order NO LINKS please thanks
Answer:
Step-by-step explanation:
Sum: 6 * 10^-4 + 1.5*10^-4 = 7.5 * 10^-4
Difference: 6 * 10^-4 - 1.5 * 10^-4 = 4.5 * 10^-4
Product: 6*10^-4 * 1.5 * 10^-4 = 9 * 10^-8
Quotient: 6*10^-4/1.5 * 10^-4 = 4
Notice the answers, because they give you the rules.
When adding exponents and rationales, if the powers are the same then the rationales merely add.
Same rule applies to subtraction. Retain the powers and subtract the rationales.
When multiplying the rationales multiply, but the rationales add. they don't stay the same.
When dividing, the rationales divide and the powers subtract -- numerator minus denominator
2. the completion times to run a road race are normally distributed with a mean of 190 minutes and a standard deviation of 21 minutes. a) what is the probability that a randomly selected runner will finish the race in less than 150 minutes? (around your answer to 4 decimal places)
Answer:
0.0287
Step-by-step explanation:
we first of all need to find the z-score.
z = (X - υ) / σ
where X is the test statistic, υ is the mean and is the standard deviation.
z = (150 - 190) / 21
= -1.9047....
in z-table, the value of the area for z = -1.9047 is 0.02872.
this is the area to the left (finishing race in less than 150 minutes).
so the probability is 0.02872 = 0.0287 to 4 decimal places
Which expression is equivalent to 4 (2p+4q)?
A 4p + 169
B 8p + 49
2p+ (3p + 169)
None of the above
Answer:
None of the above.........
how do you convert a decimal into a fraction ??
Answer:
To convert a decimal to a fraction, place the decimal number over its place value.
Step-by-step explanation:
For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.
this figure is made up of a rectangle and parallelogram. what is the area of this figure? enter your answer in the box. do not round any side lengths. units²
40 square units is the area of this rectangle figure .
What is a rectangle ?
A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral.
The term "parallelogram" can also be used to describe a rectangle because the opposing sides are equal and parallel.
the figure, the rectangle has the vertexes (2,1), (3,-3), (-5,-5) and (-6,-1). The parallelogram has the vertexes (2,7), (3,3), (3,-3), and (2,1).
The area of a parallelogram is base times height. We have 2 vertical lines at x=2 and x=3, so the height is 1. And the length of the line from (3,3) to (3,-3) is 6, so the base is 6. Therefore the area of the parallelogram is 1*6 = 6.
The rectangle is a tad trickier since it's not aligned with either the x or y axis. But we can use the Pythagorean theorem to get the lengths.
L = sqrt((2 - -6)^2 + (1 - -1)^2)
L = sqrt(8^2 + 2^2)
L = sqrt(64 + 4)
L = sqrt(68) = 2*sqrt(17)
W = sqrt((2-3)^2 + (1- -3)^2)
W = sqrt((-1)^2 + 4^2)
W = sqrt(1 + 16)
W = sqrt(17)
And the area is length * width, so:
2*sqrt(17)*sqrt(17) = 2 * 17 = 34
And the total area is the sum of the areas, so
34 + 6 = 40
So the area of the figure is 40 square units.
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The number tine shows four points. Which point represents the approximate tocation of Vo??
A)
point
.
point
point
point D
Answer: It is point B
Step-by-step explanation:
Answer: point b
Step-by-step explanation:
8
Which best describes the following graph?
90
2
10
a. Proportional linear function
b. Non-proportional linear relation
c. Non-proportional linear function
d. Proportional linear relation
Which equation has the same solution as x 2 + 12 x − 10 = − 4 x 2 +12x−10=−4?
The quadratic equation that has the same solution as x² + 12x - 10 = -4 is:
y = a(x + 0.34)(x + 11.66).
What is a quadratic function?A quadratic function is given according to the following rule:
y = ax² + bx + c
\(\Delta = b^2 - 4ac\)
The solutions are:
\(x_1 = \frac{-b + \sqrt{\Delta}}{2a}\)
\(x_2 = \frac{-b - \sqrt{\Delta}}{2a}\)
In which:
\(\Delta = b^2 - 4ac\)
For this problem, the equation is:
x² + 12x - 10 = -4.
In standard format:
x² + 12x - 6 = 0.
Hence the coefficients are a = 1, b = 12, c = -6, and then the solutions are found as follows:
\(\Delta = 12^2 - 4(1)(-6) = 168\)\(x_1 = \frac{-12 + \sqrt{128}}{2} = -0.34\)\(x_2 = \frac{-12 - \sqrt{128}}{2} = -11.66\)Applying the Factor Theorem, the equation is written as:
y = a(x + 0.34)(x + 11.66).
In which a is the leading coefficient.
There are infinite possible values for the leading coefficient, hence infinite equations with the same solution as the one given.
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It takes a machine at a seafood company 20 s to clean 3 1 ib of shrimp _ 3
It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second
What is an equation?An equation is an expression that shows the relationship between two numbers and variables.
An independent variable is a variable that does not depend on any other variable for its value whereas a dependent variable is a variable that depend on any other variable for its value.
It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. Hence:
Rate of the machine = 3 pounds / 20 seconds = 0.15 pound per second
It takes a machine at a seafood company 20 seconds to clean 3 pounds of shrimp. The rate of the machine is 0.15 pound per second
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Gerhan Company's flexible budget for the units manufactured in May shows $15,640 of total factory overhead; this output level represents 70% of available capacity. During May, the company applied overhead to production at the rate of $3.00 per direct labor hour (DLH), based on a denominator volume level of 6,120 DLHs, which represents 90% of available capacity. The company used 5,000 DLHs and incurred $16,500 of total factory overhead cost during May, including $6,800 for fixed factory overhead. What is the factory overhead efficiency variance (to the nearest whole dollar) for May under the assumption that Gerhan uses a four-variance breakdown (decomposition) of the total overhead variance? Multiple Choice a. $180 unfavorable b. $380 favorable. c. $380 unfavorable. d. $480 unfavorable. e. $480 favorable.
The factory overhead efficiency variance for May is $480 unfavorable.
What is overhead efficiency variance ?
The overhead efficiency variance measures the difference between the actual hours worked and the standard hours allowed, multiplied by the standard overhead rate.
Step 1: Budgeted overhead at 90% capacity:
Budgeted overhead = 6,120 DLHs * $3.00 per DLH = $18,360
Step 2: Budgeted overhead at 70% capacity:
Budgeted overhead = $15,640
Step 3: Standard hours at 70% capacity:
Standard hours = 6,120 DLHs / 90% * 70% = 4,760 DLHs
Step 4: Variable overhead rate:
Variable overhead rate = ($18,360 - $15,640) / (6,120 DLHs - 4,760 DLHs) = $2.00 per DLH
Step 5: Variable overhead efficiency variance:
Variable overhead efficiency variance = (4,760 DLHs - 5,000 DLHs) * $2.00 = $480 unfavorable
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. Given that O is the centre of the following circle, find the values of the unknowns.
Given:
Radius of circle is 13 cm
Height of triangle is 5 cm
To find:
Value of 'a' and 'b'
Steps:
To find value of 'a', we will use Pythagoras theorem as the triangle is a right angle triangle,
A² + B² = C²
\(a^{2} + 5^{2} = 13^{2}\)
\(a^{2} + 25 = 169\)
\(a^{2} = 169 - 25\)
\(a^{2} = 144\)
\(\sqrt{a^{2}}=\sqrt{144}\)
\(a = 12\)
Now to find the value of 'b', i will use law of cosine,
\(c=\sqrt{a^{2}+b^{2}-2ab(cos\beta ) }\)
\(12 = \sqrt{13^{2}+5^{2}-2(5)(13)(cos\beta )}\\12=\sqrt{169 + 25-130(cos\beta )}\\12=\sqrt{194-130(cos\beta )}\\144 = 194 - 130(cos\beta )\\50 = 130(cos\beta )\\cos\beta = 0.3846\\\beta = cos^{-1}(0.3846)\\\beta = 67.38\)
Therefore, the values of 'a' and 'b' is 12 and 67.38 respectively
Happy to help :)
If u need any help feel free to ask
Evaluate the following expression: \[ 1.723 \times 10^{2}+7.38 \times 10^{3} \] Type answer:
The sum of expression \(1.723 \times 10^{2}\) and \(7.38 \times 10^{3}\) is \(7.5523 \times 10^{3}\). The numbers in scientific notation are added by summing the coefficients while keeping the exponent unchanged.
In scientific notation, numbers are expressed as a coefficient multiplied by a power of 10. To add numbers in scientific notation, we need to ensure that the powers of 10 are the same.
In this case, both numbers are already in scientific notation with powers of 10. We can directly add the coefficients while keeping the exponent the same.
Adding \(1.723 \times 10^2\) and \(7.38 \times 10^3\) gives us a sum of \(7.5523 \times 10^3\). The coefficient represents the numerical value, and the power of 10 indicates the magnitude.
Thus, the expression \(1.723 \times 10^2 + 7.38 \times 10^3\) evaluates to \(7.5523 \times 10^3\), indicating a significant increase in magnitude compared to the individual numbers.
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Match each correlation coefficient to the appropriate scatter plot. The line in each scatter plot is the least squares regression line. fo1 80- 52 504 40 3 30 24 19 18- 12 12 22 300 316 19 54 18 5 18 UN 30 18 54 60
Which is NOT a solution of the inequality 5 - 2x ≥ -3?
(1)0 (2)2 (3)4 (4)5
Explain the reasoning for your answer.
Step-by-step explanation:
5 - 2x >= -3
-2x >= -8 (subtract 5 on both sides)
x <= 4 (divide -2 on both sides, flip the sign)
Hence x = 5 is not a solution. (4)
5 is not a solution of the inequality
The inequality is given as:
\(5 -2x \ge -3\)
Subtract 5 from both sides of the inequality
\(5 - 5 -2x \ge -3 - 5\)
Evaluate the like terms
\( -2x \ge -8\)
Divide both sides by -2
\(x \le 4\)
The above inequality means that:
The possible solution of x are numbers that do not exceed 4.
Hence, 5 is not a solution of the inequality
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write an equation of the line with the given information. m. 4. A(-1.-5)
Answer:
An equation of the line with the given information with
m = 4 and point A(-1, -5) is:
\(y=4x-1\)Step-by-step explanation:
As the equation of a line in point-slope form is given by:
\(y-y_1=m\left(y-x_1\right)\)
where m is the slope.
Given:
the slope m = 4 the point A(-1, -5)Substituting the values in the equation of a line in point-slope form
\(y-y_1=m\left(x-x_1\right)\)
\(y\:-\:\left(-5\right)\:=\:4\:\left(x\:-\:\left(-1\right)\right)\)
\(y+5=4\left(x+1\right)\)
subtract 5 from both the sides
\(y+5-5=4\left(x+1\right)-5\)
\(y=4x-1\)
Therefore, an equation of the line with the given information
with m = 4 and point A(-1, -5) is:
\(y=4x-1\)The sum of the speeds of two trains is 724.3 miles per hour. If the speed of the first train is 11.7 mph faster than that of the second train, find the speeds of each.
Answer:
A=368 miles
B= 356.3 miles
Step-by-step explanation:
Given data
Let the two trains be A and B
A+B=724.3----------1
A-B=11.7--------------2
From eqn 1
A= 724.3-B
put this in place of A in eqn 2
724.3-B-B= 11.7
724.3-2B= 11.7
724.3-11.7= 2B
712.6=2B
B= 712.6/2
B= 356.3 miles
Put B=356.3 in eqn 1
A+356.3=724.3----------1
A= 724.3-356.3
A=368 miles
Someone help me pls
Answer:
W) 1/18=10/180
N) 2/15=4/30
F) 7/12= 84/144
S) 9/25= 36/100
D) 7/20=35/100
T) 9/10=36/40
M) 19/20=95/100
Step-by-step explanation:
W) is 10/180 as you need to multiply the numerator as the denominator.
N) is 4/30 as you need to multiply the numerator as the denominator.
F) is 84/144 as you need to multiply the numerator as the denominator.
S) is 36/100 as you need to multiply the numerator as the denominator.
D) is 35/100 as you need to multiply the numerator as the denominator.
T) is 36/40 as you need to multiply the denominator as the numerator.
M) is 95/100 as you need to multiply the numerator as the denominator.
a new printing press can print newspapers twice as fast as the old one can. the old one can print the afternoon edition in 4 hours. find how long it takes to print the afternoon edition if both printers are operating.
The speed of both printers operating together is 1.333 hours which was found using the given data.
What is distance, time and speed?The formula used to explain the connection between speed, distance, and time is speed = distance/time.
Given: Newspapers can be printed twice as quickly on a modern printing press as they can on an old one. The old one takes four hours to publish the afternoon edition.
Let,
a = Speed of New printing press
b = Speed of Old printing press
x = Speed of both printers operating together
We know that,
(1/a)+(1/b)=(1/x)
(1/2)+(1/4)=(1/x)
(4/8)+(2/8)=(1/x)
6/8=1/x
x=8/6
x=1.333
Therefore, the speed of both printers operating together is 1.333 hours which was found using the given data.
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suppose that you have a collection of n spins, each of which points up or down with equal probability. what is the probability that exactly n of them will point up? give both an exact expression and an approximation valid for large n. are there any additional conditions on n for your large n approximation to be valid?
For the normal approximation to be valid, the sample size should be at least 30, which means that n should be greater than or equal to 30.
Assuming that the probability that each spin points up or down is 0.5, and we have n spins, then the probability of exactly n of them pointing up is given by
P(n) = (n C n) * (0.5)^n = (0.5)^n, where (n C n) is the number of ways to choose n items out of n, which is simply 1.
If n is large, the probability can be approximated using the normal distribution with mean and variance given by
μ = np = n * 0.5σ² = np(1 - p) = n * 0.25T he probability can be approximated as:
P(n) ≈ N(μ, σ) = N(np, sqrt(np(1 - p))), where N is the normal distribution with mean np and variance np(1 - p). Additional conditions for the approximation to be valid:
Therefore, for the normal approximation to be valid, the sample size should be at least 30, which means that n should be greater than or equal to 30.
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if a and b are directly proportional and b and c are directly proprtional, then how are a and c related
a and c are directly proportional to each other when a and b are directly proportional and b and c are directly proportional.
If a and b are directly proportional and b and c are directly proportional, it means that their ratios are equal. Direct proportionality implies that as one variable increases, the other also increases in proportion and as one variable decreases, the other also decreases in proportion.
Mathematically, this can be written as
a = kb and b = mc, where k and m are constants of proportionality.
Multiplying these two equations gives: a = kbm
Substituting the value of b from the second equation in the first equation, we get: a = kmc
Therefore, a and c are also directly proportional to each other with a constant of proportionality km.
Thus, if a increases by a certain factor, c will also increase by the same factor.
If a and b are directly proportional and b and c are directly proportional, then it can be concluded that a and c are directly proportional as well.
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help pls pls pls pls
Answer:
image is blurry i cant see it
Step-by-step explanation:
send another one plz
help please, i need this answered asap
Answer:48
Step-by-step explanation:
the distribution is a special case of the distribution when the parameter k is set to equal 1
The distribution becomes a special case when the parameter k is set to equal 1, indicating that it simplifies to a unique form under that specific condition.
When a distribution becomes a special case with a certain parameter, it means that the distribution has a unique and simplified form under that specific condition.
In this case, when the parameter k is set to equal 1, the distribution you are discussing simplifies to a special case of the general distribution.
To better understand the relationship between the distributions and the effect of setting k to 1, you should examine the formula for the given distribution and observe how the formula changes when k is set to 1.
To summarize, the distribution becomes a special case when the parameter k is set to equal 1, indicating that it simplifies to a unique form under that specific condition.
To further explore this concept, you should analyze the distribution's formula and observe the changes that occur when k is set to 1.
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What is the axis of symmetry for y = 3x^2 + x - 2
what is the answer for 3x=x+8
Answer:
X = 4
Step-by-step explanation:
First you subtract X from both sides of the equation and then simplify, then divide both sides of the equation by the same term then Simplify one more time.
Explain how the edge of a piece of paper
can be used to measure equal distances
on a number line?
Answer:
you can line up the corners of the piece of paper like an roller
Step-by-step explanation:
A theater has 1,464 seats. The seats are arranged into 62 equal-sized "regular" sections plus one "premium" front-row section. How many seats are in a regular section? How many seats are in the premium front-row section? Explain.
In the theater, that have 1,464 seats.
1426 seats are in "regular" sections
38 seats are "premium" front-row section
How to find the number of seats in the "regular" sectionsThe seat arrangement is solved by division. In this case the 62 equal spaced is the divisor while the number of seats is the in each row is the quotient
The division is as follows
1464 / 62
= 23 19/31
The number of seats in the regular section is 23 * 62 = 1426
The remainder will be arranged in premium front row
using equivalent fractions
19 / 31 = 38 / 62
the remainder is 38 and this is the seat for the premium front row section
OR 1464 - 1426 = 38 seats
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