The value of the equation 6 + 3p = 4p + 7 is 1
How to solve the equation?Reorder the terms:
6 + 3p = 7 + 4p
Solving for the value of p by collecting like terms
6 + 3p = 7 + 4p
Move all terms containing p to the left, all other terms to the right.
Add '-4p' to each side of the equation.
-6 + 3p + -4p = -7 + 4p + -4p
Combine like terms: 3p + -4p = -1p
-6 + -1p = -7 + 4p + -4p
Combine like terms: 4p + -4p = 0
-6 + -1p = -7 + 0
-6 + -1p = -7
Add '6' to each side of the equation.
-6 + 6 + -1p = -7 + 6
Combine like terms: -6 + 6 = 0
0 + -1p = -7 + 6
-1p = -7 + 6
Combine like terms: -7 + 6 = -1
-1p = -1
Divide each side by '-1'.
p = 1
Simplifying
p = 1
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The inequality g≤5 has........ solutions because ...........can be substituted for g to make the inequality true.
Answer:
infinite solutions because any value less than or equal to 5
The approximate amount of calories, c, that a dog needs each day is represented by C=72M^3/4, with m being the dog's weight in KG. How many calories would a 64 kg dog need? (Radicals and Rational Exponents)
A store’s dressing room has a limit of 10 garments per customer. If Carol has at least 3 garments below the limit, how many garments does she have in her dressing room?
Carol has at least 7 garments in the dressing room.
How to find the number of garments in her dressing roomInformation given in the problem is
A store’s dressing room has a limit of 10 garments per customer
If Carol has at least 3 garments below the limit
the limit is 10 garments, this is the maximum number of clothes and Carol has 3 garments below the limit
we can conclude that Carol has at least
= 10 - 3
= 7
Carol has 7 garments in the dressing room.
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Which relation is also a function? f (x) = 2^x. h (x) = -3x x 2^x
the standard deviation is used in conjunction with the
When describing bell-shaped distributions statistically, the standard deviation is utilised along with the mean.
What does the mean actually measure?
While the standard deviation gauges the distribution's spread, the mean gauges the distribution's centre.
What is the purpose of standard deviation?
For the aim of quantifying dispersion, or the variation that takes place in the values of a data set that is taken into consideration, the standard deviation is used. The data points are said to be close to the mean when the standard deviation number is reduced. The opposite will occur when it is higher. In this way, it gauges how widely apart data points are from the mean.
Anything's predicted value is sometimes referred to as a mean. It is the object that serves as the focal point for all data points. The standard deviation determines how widely apart all the data points are from the mean, whereas the mean is the centre of the distribution.
What is the name of standard deviation?
Because it is the square root of the means of the squared errors from the arithmetic average, standard deviation is often referred to as root-mean square deviation. Standard deviation is a word used in economics to indicate how risky an investment is.
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Which additional fact would prove that quadrilateral WXYZ is a parallelogram?
The additional fact that would prove that XW is a parallelogram is given as follows:
C. YZ = WX.
How to obtain the values?For a parallelogram, we have that the opposite sides are congruent, that is, they have the same side length.
The congruent pair of side lengths given in this problem is presented as follows:
XY and WZ.
Hence the missing pair of side lengths given in this problem is presented as follows:
YZ and WX.
Missing that the correct option is given by option C.
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Provide the vertical movement for the
following absolute value function:
-4x + 5|- 3
Hint: -|x - h| + V
Move 3 units [?].
down
up
W
The vertical movement for the absolute value function in this problem is given as follows:
Move 3 units down.
What is the absolute value function?The absolute value function of vertex at coordinates (h,k) is defined as follows:
y = a|x - h| + k.
For the parent absolute value function, the y-coordinate of the vertex is given as follows:
y = 0.
For the absolute value function -4|x + 5| - 3, the y-coordinate of the vertex is given as follows:
y = -3.
Hence the subtraction by 3 means that there was a movement of 3 units down.
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QuESTION 15 Which difficulty of range as measure 0f 'variability is overcome by interquartile range? a. The range is difficult to compute b. The range is influcnced t0o much by extreme values The sum of the range variances is ZEtO d. The range is negative
The difficulty of range as a measure of variability that is overcome by interquartile range is option b that is The range is influenced too much by extreme values.
What is variance?The variance is the mean squared difference between each data point and the mean-centered distribution. A statistical assessment of the dispersion of values in a data collection is referred to as variance. Variance explicitly assesses how distant each number in the set is from the mean (average), and consequently from every other number in the set. Variance is a measure of how data points differ from the mean, whereas standard deviation is a measure of statistical data distribution. The primary distinction between the two is that standard deviation is expressed in the same units as the mean of the data, whereas variance is expressed in squared units.
Here,
The interquartile range overcomes the problem of range as a measure of variability. Extreme values have an undue impact on the range.
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Short answer needed ASAP
Answer:
B
Step-by-step explanation:
I tried my best to do the math but im not exactly sure.
Answer: B
Step-by-step explanation:
I did the test
In ΔEFG, f = 400 inches,
m
m∠F=94° and
m
m∠G=33°. Find the length of g, to the nearest 10th of an inch.
The measurement of the side g in the Δ EFG is 218.38
What is sine rule of triangle?The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.
Given that, In Δ EFG, f = 400 inches, m ∠ F = 94° and m ∠ G = 33°, we need to find, the length of g (refer to figure attached)
Using the sine rule of the triangle,
f / Sin F = g / Sin G = e / Sin E
400 / Sin 94° = g / Sin 33°
g = 400 / Sin 94° × Sin 33°
g = 218.38
Hence, the measurement of the side g in the Δ EFG is 218.38
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Answer:
g= 218.4
Step-by-step explanation:
Draw a diagram:
Draw a diagram:
E
F
G
f = 400
g = ?
94°
33°
A.A.S.
→
Law of Sines
A.A.S.→Law of Sines
sin
=
sin
sinA
a
=
sinB
b
From reference sheet.
Find other angle:
Find other angle:
∠
=
180
−
94
−
33
=
5
3
∘
∠E=180−94−33=53
∘
E
F
G
f = 400
g = ?
94°
33°
53°
sin
33
=
400
sin
94
sin33
g
=
sin94
400
Plug in. Opposite sides go together.
=
400
sin
33
sin
94
≈
218.3876
≈
218.4
g=
sin94
400sin33
≈218.3876≈218.4
Solve for the side and evaluate.
Your Solution:
=
218.4
g=218.4
if the plant filled each of its cans to 12 ounces, what would be the standard deviation of the sample of 10 cans?
If each of the plant's cans was filled to 12 ounces, the standard deviation of the sample of 10 cans would give us an idea of how much the weights of the cans deviate from the average weight of 12 ounces.
The calculation of the standard deviation requires knowledge of the mean and variance of the sample. To find the variance, we would need to subtract the mean from each of the observed weights, square the differences, and find the average of the squared differences. Finally, to find the standard deviation, we would take the square root of the variance.
It's worth noting that in practice, finding the standard deviation of a sample can be a complex and time-consuming process, especially when dealing with large sample sizes. However, it is a valuable metric that provides important information about the distribution and spread of the data.
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Gavin’s gross pay is $3851. his deductions total $756.72. what percent of his gross pay is take-home pay? responses 20% 20% 24% 24% 80% 80% 82%
Answer:
80%
Step-by-step explanation:
Gross Pay = $3851
Deductions = $756.72
Take-home Pay = $3851 - $756.72 = $3,094.28
Ratio of take-home pay to gross pay = 3,094.28/3851 = 0.8035
As a percentage = 0.8035 x 100 = 80.35%
or approximately 80% to match the answer choice
when purchasing a vechicle, which of the following would initially offer the lowest monthly payment
special apr financing
ballon payment plan
cash back offer
regular apr financing
The special apr financing would initially offer the lowest monthly payment. The correct answer is the first option.
The special apr financingThe monthly payment offered by "special APR financing" is likely to be the lowest among the options given. The "special APR financing" generally refers to a promotional interest rate offered by the dealership or the manufacturer, which can result in lower monthly payments. However, the total cost of the vehicle over the life of the loan could be higher compared to the other options.
It's always best to consider the total cost of the vehicle and compare the options based on the interest rate, loan term, down payment, and any additional fees before making a final decision.
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a worker has asked her supervisor for a letter of recommendation for a new job. she estimates that there is an 85 percent chance that she will get the job if she receives a strong recommendation, a 50 percent chance if she receives a moderately good recommendation, and a 10 percent chance if she receives a weak recommendation. she further estimates that the probabilities that the recommendation will be strong, moderate, and weak are 0.6, 0.3, and 0.1, respectively. a. how certain is she that she will receive the new job offer? b. given that she does receive the offer, how likely should she feel that she received a strong recommendation? (
Disregarding intermediate, let's assume she has access to a letter that can be powerful or weak. Let's say she receives a persuasive letter. If she receives a strong letter, her chance of being hired is then increased.
P(J|S)
If, however, she receives a subpar letter, Considering since she received a subpar cover letter, her chances of landing the job are slim.
P(J|W)
Let's assume that we have some knowledge of such two numbers. I believe
In addition, we recognize how likely it is that she will receive either one or both letters: P(J|S)=0.8 P(J|W)=0.1
Note that P(S)+P(W)=1 since there are only two possibilities: P(S)=0.7 and P(W)=0.3.
P(J)=P(J|S) P(S)+P(J|W) P(W)
This is a representation of two distinct directions that could be taken. In one, we receive a compelling letter and ponder if she'll be hired in light of that compelling letter. As a result of the weak letter from the other, we are unsure if she will be hired. We give the pathway carrying the formal letter a higher weight because there is a substantially larger chance of receiving it compared to a weak letter.
The law of probability value is used in this situation.
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If g(x) = 3(4)^x
what is the value of g(2) ?
Answer:
Step-by-step explanation:
g(2) = 3/2(2) + 4 = 3 + 4 = 7
On a math test a student,Sarah, has to identify all the coefficients and constants of the expression . 6n+y+4 says that 6 is a coefficient and 4 is a constant. Identify all the coefficients and constants of the expression. What error Sarah might have made?
In the given expression 6n + y + 4 which 6 is a coefficient, y is a variable, and 4 is a constant.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question, as follows:
6n + y + 4
As per the question, Sarah says that 6 is a coefficient and 4 is a constant.
Thus, the error she might have made is confusing the variable y with the coefficient 6.
In the expression 6n + y + 4, 6 is a coefficient, y is a variable, and 4 is a constant.
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PLEASE HELP TIMED
What is the solution of x+4/2x-1 < 0
Answer:
x<2
Step-by-step explanation:
this is correct answer
an examination profile sheet allows individuals to compare their standard score multiple against what group? a) the average of all candidates in your rate
The statement that "An examination profile sheet allows the person to compare their standard score multiple against average of candidates advanced in your rate" is not necessarily true or false.
The Standard Scores depends on the specific examination and the examination profile sheet being used.
Some examination profile sheets may allow individuals to compare their standard score multiple against the average of candidates advanced in their rate, while others may not.
It is important to note that the reference group used to compare standard score multiples can have a significant impact on the interpretation of the results.
Therefore, it is essential to understand the context and purpose of the examination and the examination profile sheet being used.
The given question is incomplete , the complete question is
An examination profile sheet allows individuals to compare their standard score multiple against the average of all candidates in your rate . Is the statement TRUE or FALSE .
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Choose the method of pay that would result in the most earnings for one month on sales of $60,000.
The method of pay that would result in the most earnings for one month on sales of $60,000 would be: d. Graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.
How to find the earnings?The earnings can be calculated as follows:
a. Earnings = 6% of 60000
Earnings = $3,600
b. Earnings = 1500 + .03(60000)
Earnings = 1500 + 1800
Earnings = $3,300
c. For the first $50,000: $50,000 * 4% = $2,000
For the remaining $10,000: $10,000 * 10% = $1,000
Total earnings: $2,000 + $1,000 = $3,000
d. For the first 5 % ×40,000 = 2000
For the remaining (60,000-40,000) = .09 x 20000 = 1800
Total earnings :2000 + 1800 = $3,800
Therefore the correct option is D.
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The complete question is:
Choose the method of pay that would result in the most earnings for one month on sales of $60,000.
a. Straight commission of 6% on all sales.
b. Monthly salary of $1,500 plus 3% commission on all sales.
c. Graduated commission of 4% on the first $50,000 in sales and 10% on anything over that.
d. Graduated commission of 5% on the first $40,000 in sales and 9% on anything over that.
Number 15 please !!50 POINTS!!
The trigonometric ratios for angle Y are given as follows:
[tex]\sin{Y} = \frac{6}{\sqrt{61}}[/tex][tex]\cos{Y} = \frac{5}{\sqrt{61}}[/tex]tan(Y) = 6/5.[tex]\csc{Y} = \frac{\sqrt{61}}{6}[/tex][tex]\sec{Y} = \frac{\sqrt{61}}{5}[/tex]cot(Y) = 5/6.What are the trigonometric ratios?The three trigonometric ratios are defined as follows:
Sine of angle = length of opposite side divided by the length of the hypotenuse.Cosine of angle = length of adjacent side divided by the length of the hypotenuse.Tangent of angle = length of opposite side divided by the length of the opposite side.The inverse ratios are given as follows:
Cosecant: one divided by sine.Secant: one divided by cosine.Cotangent: one divided by tangent.More can be learned about trigonometric ratios at brainly.com/question/24349828
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I need answer ASAP the question is in the picture
Answer:
A. yes they both have the same solutions.
B. below...
Step-by-step explanation:
consider a data set with at least three data values. suppose the highest value is increased by 10 and the lowest is decreased by 10. (a) does the mean change? explain.
If the highest value is increased by 10 and the lowest is decreased by 10 the mean doesn't change
Let us assume the data set with 10 observations:
{5, 6, 4, 3, 2, 6, 4, 9, 4, 4}.
Arranging data set in ascending order
{2, 3, 4, 4, 4, 4, 5, 6, 6, 9}
Mean of this data = Sum of all observations/Total number of observations
Mean = (2 + 3 + 4 + 4 + 4 + 4 + 5 + 6 + 6 + 9)/10
Mean = 47/10 = 4.7
Now, Increasing the highest value by 10 and decreasing the lowest value by 10
So, the new data set is {-8, 3, 4, 4, 4, 4, 5, 6, 6, 19}
Mean of this data = -8 + 3 + 4 + 4 + 4 + 4 + 5 + 6 + 6 + 19/10
Mean = 47/10 = 4.7
Hence, the mean doesn't change.
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Nicole measured some distances on a map of Lassen Volcanic National Park. The scale on the map is 34
inch = 2 miles. What is the actual distance from Raker Peak to Hat Mtn?
Responses
A 4 miles4 miles
B 223
miles2 2 3 miles
C 214
miles2 1 4 miles
D 212
miles2 1 2 miles
E 3 miles
Performing a change of scale we will see that the actual distance is 4 miles.
What is the actual distance from Raker Peak to Hat Mtn?We know that the scale is:
3/4 inch = 2 miles.
And the distance that Nicole found on the map is (1 + 1/2) inches.
We can rewrrite the scale as:
1 inch = (4/3)*2 miles
1 inch = (8/3) miles.
Then the actual distance will be:
distance = (1 + 1/2) inches = (1 + 1/2)*(8/3) miles = 4 miles.
The correct option is A.
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determine if the following is a solution or nort , given 3x-2y>5
[2,0]
[3,2]
[2,6]
Only (2,0) is a solution to the inequality 3x-2y>5
How did we get the value?The following points are evaluated with regards to the given inequality 3x-2y>5:
[2,0]: 3x-2y = 3 * 2 - 2 * 0 = 6 > 5, so (2,0) is a solution.
[3,2]: 3x-2y = 3 * 3 - 2 * 2 = 3 > 5, so (3,2) is not a solution.
[2,6]: 3x-2y = 3 * 2 - 2 * 6 = -6 < 5, so (2,6) is not a solution.
So, only (2,0) is a solution to the inequality 3x-2y>5
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according to mark cherry, in 2008, in the united states, how many patients were waiting for and organ transplant/donation and how many actually received an organ transplant?
There are many more people awaiting such a transplant than there are available organs, leading to a large backlog of patients who are not able to receive an organ transplant.
In 2008, the United States Department of Health and Human Services reported that there were approximately 113,000 patients in the United States awaiting organ transplants. Of those, only 28,535 received an organ transplant that year. This is a ratio of approximately 1 in 4. This can be expressed mathematically as 28,535/113,000 = 0.25, or one fourth. This means that for every 4 people awaiting an organ transplant in the United States in 2008, only 1 actually received one. While organ transplants are a life-saving procedure for many, the reality is that there are many more people awaiting such a transplant than there are available organs, leading to a large backlog of patients who are not able to receive an organ transplant.
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Complete question:What were the numbers of patients waiting for and receiving an organ transplant/donation in the United States in 2008, according to Mark Cherry?
Upon graduation, Natalie had five job offers. The annual salaries for four of the jobs were: $36,000, $45,000, $28,000, and $32,000. The average of the five annual salaries was $38,000. What was the fifth annual salary?
Answer:
The fifth salary = $49,000
Step-by-step explanation:
Let x be the fifth salary
Total salary = $36,000, + $45,000 + $28,000 + $32,000 + x
= $141,000 + x
The average of 5 salaries is $38,000
Total = Average x number of elements
= 38000 x 5 = 190,000
Equating the two totals
141,000 + x = 190,000
Subtract 141, 000 from both sides
x = 190,000 - 141, 000
x = $49,000
So the fifth salary = $49,000
6739 divided by 6 in long division
Answer:
1123
Step-by-step explanation:
I did 6739 / 9 = 1123.
Select the best Measures of Center for the data set: 3, -26, -1, -5, 4, 1, 3
The best Measures of Center for the data set: 3, -26, -1, -5, 4, 1, 3 is median
How to determine the best measureFrom the question, we have the following parameters that can be used in our computation:
3, -26, -1, -5, 4, 1, 3
In the above dataset, the observation -26 is an outlier
This is so because -26 is relatively far from other observations
When a dataset has an outlier, the best measure of center to use is the median
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please help me with this
[tex]{\Large \begin{array}{llll} y=ab^x \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=1\\ y=24 \end{cases}\implies 24=ab^1\implies 24=ab \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} x=3\\ y=1536 \end{cases}\implies 1536=ab^3\implies 1536=abb^2\implies \stackrel{\textit{substituting from above}}{1536=24b^2} \\\\\\ \cfrac{1536}{24}=b^2\implies 64=b^2\implies \sqrt{64}=b\implies \boxed{8=b}[/tex]
[tex]\stackrel{\textit{since we know that}}{24=ab}\implies 24=a8\implies \cfrac{24}{8}=a\implies \boxed{3=a} \\\\[-0.35em] ~\dotfill\\\\ {\Large \begin{array}{llll} y=3(8)^x \end{array}} \hspace{15em}\stackrel{\textit{after 6 days}}{y=3(8)^6}\implies y=786432[/tex]
Find a solution to the system of equations 
Answer:
(4, 1 )
Step-by-step explanation:
the solution to a system of equations given graphically is at the point of intersection of the 2 lines.
the lines intersect at (4, 1 )
then the solution is (4, 1 )