Answer:
32
Step-by-step explanation:
the x is not a variable
suppose our student center published data that the average starting salary for college graduates is 59k. you randomly sampled 49 college graduates and calculated the sample average salary is 44k. what test can you use to check whether the true average is 59k?
To check whether the true average is 59k or not, A sample mean T-Test needs to be conducted. The true value of 59k is 44k after the test.
What is an Average?In the field of statistics, average means that the ratio of the sum of the numbers of a given set, to the total number of characters in a given set. It is also called as the Arithmetic mean.
Equating :
It is given that the student center has published the data that the average salary of the college graduates is 59k. Accordingly, the sample of 49 college students were verified and the sample average salary came out to be 44k.
When we analyze the given question, we find that,
The total number of students were 49,The true average was found to be 59k,and the Sample average is found to be 44k.
Thus, in the present question we will use the One- sample T-test.
We used this test, as the statistical hypothesis test is used to find if the unrecognized population mean is different from the specific value.
To know more about Averages:
brainly.com/question/16956746
#SPJ4
what does 160=7x+6 equal to?
Answer:
x=22
Step-by-step explanation:
7x+6=160.
Lets start by moving 6 over to the other side. We can do this by subtracting 6 from both sides of the equation.
7x+6-6=160-6
7x=154
Now, let's isolate x by getting rid of the 7. The 7 is being multiplied with x, so to get rid of it we have to divide both sides by 7.
7x/7 = 154/7
x=22
Look Below :
Step-by-step explanation:
160 - 6 = 7x
154 = 7x
Or
7x = 154
x = 22
License plates in the tiny country of Venn follow a unique pattern. The first character is one of 41 Egyptian hieroglyphs, the second is one of 39 emojis, and the third character is one of 10 polygons. How many 3 character license plates are available to the people of Venn?
Answer:
12710 license plates
Step-by-step explanation:
Given that :
First character = one of 41 different hieroglyphs
Second character = one of 31 emojis
Third character = one of 10 polygons
A license plate consists of 3 characters
Number of 3-character license plates available :
Number of hieroglyphs * Number of emojis * number of polygons
41 * 31 * 10 = 12710 license plates.
For trapezoid WXYZ shown below, points U and V are the midpoints of the legs. Use this information to find UV, the length of the mid segment.
Given:
\(\begin{gathered} WX=x+7 \\ ZY=6x+5 \\ UV=8x-3 \end{gathered}\)\(\begin{gathered} UV=\frac{1}{2}(WX+ZY) \\ 8x-3=\frac{1}{2}(x+7+6x+5) \\ 2(8x-3)=(7x+12) \\ 16x-6=7x+12 \\ 16x-7x=12+6 \\ 9x=18 \\ x=\frac{18}{9} \\ x=2 \end{gathered}\)\(\begin{gathered} \text{Length of the midsegment=8x-3} \\ =8(2)-3 \\ =16-3 \\ =13 \end{gathered}\)13 is the final answer.
Graph the function f(x) = x3 – 4x – 1. Which are approximate solutions for x when f(x) = 0? Select three options.
The approximate solutions for f(x) = 0 are -1.8, 0.6, and 1.2. Using Newton's method, we can approximate the roots to be -1.8, 0.6, and 1.2. These are the three options to select as the approximate solutions for x when f(x) = 0.
To graph the function f(x) = x3 – 4x – 1, we can plot several points and connect them with a curve. Alternatively, we can use calculus to find the critical points, where the derivative is zero, and analyze the behavior of the function near those points.
Using calculus, we can find that the derivative of f(x) is f'(x) = 3x2 - 4. Setting f'(x) = 0 and solving for x, we get x = ±sqrt(4/3). We can then use the second derivative test to see that f''(sqrt(4/3)) > 0, so it is a local minimum, and f''(-sqrt(4/3)) < 0, so it is a local maximum.
Therefore, we know that f(x) has one local maximum and one local minimum. By looking at the graph or using the intermediate value theorem, we can see that f(x) changes sign at x = -2, x = 0, and x = 1.5. This means that there is at least one root in each of the intervals (-∞, -2), (-2, 0), (0, 1.5), and (1.5, ∞).
Learn more about approximate here: brainly.com/question/31646822
#SPJ11
Please help me :> i would love that ! :))
Answer:
k = 10
Step-by-step explanation:
Step 1: Cross-multiply.
\(\frac{k}{100} = \frac{1}{10}\) \(k * 10 = 1 * 100\) \(10k = 100\)Step 2: Divide both sides by 10.
\(\frac{10k}{10} = \frac{100}{10}\) \(k = 10\)Therefore, k = 10.
Please urgent! will give brainliest!!!
Solve for x:
6.8x=-3.9-(-8.9x-1)-2x
Answer:
x = 29 is the correct answer
Step-by-step explanation:
After a composition of transformations, the line segment from A(-2, 8) to B(6, 2) maps to the line segment C( -2, -12) to D(6, -6). Which of the following describes the composition that is applied to ⎯⎯⎯⎯⎯⎯⎯⎯AB¯ to obtain ⎯⎯⎯⎯⎯⎯⎯⎯⎯CD¯?
Given,
The coordinates of the point (-2, 8), (6,2), (-2, -12) and (6, -6).
Required
The composition required that is applied to to obtain .
The graph of the points are,
From the graph it is clear seen that
Reflect across the x axis and translate 4 units down.
Hence, Reflect across the x axis and translate 4 units down.
Jerome received the same quarter grade as Paula. Paula received the same quarter grade as Heath. Which property would show that Jerome and Heath received the same grade?
The property that shows Jerome and Heath received the same grade is the transitive property of equality.
The transitive property of equality states that if two quantities are equal to the same quantity, then they are equal to each other. In this scenario, we have the information that Jerome received the same quarter grade as Paula and Paula received the same quarter grade as Heath.
By applying the transitive property, we can conclude that Jerome and Heath received the same grade. This is because if Jerome's grade is equal to Paula's grade, and Paula's grade is equal to Heath's grade, then by transitivity, Jerome's grade must be equal to Heath's grade.
In other words, the transitive property allows us to establish the equivalence between Jerome's and Heath's grades based on the intermediate equivalence between Jerome's and Paula's grades, as well as the equivalence between Paula's and Heath's grades.
Therefore, the transitive property of equality is the property that shows Jerome and Heath received the same grade.
Learn more about the transitive property of equality here: https://brainly.com/question/1619490
#SPJ11
Sally deposits $1,600 into a savings account earning a simple interest rate of 7.00%. How much interest will she earn after 180 days? Express your answer to 2 decimal places.
Sally deposits $1,600 into a savings account earning a simple interest rate of 7.00%., then the interest Sally will earn after 180 days is $55.09.
To calculate the amount of interest Sally will earn after 180 days on depositing $1600 in a savings account with a simple interest rate of 7%, the following formula applies;Interest = P × r × t
where;P is the principal (amount deposited),r is the annual interest rate (7%),t is the time in years or fraction of a year.
We can convert 180 days to fraction of a year by dividing it by the total number of days in a year as follows;
180 days ÷ 365 days = 0.49315068 years
Substitute the values of P, r and t to calculate the interest;
Interest = 1600 × 0.07 × 0.49315068
Interest = 55.09
To two decimal places, the interest Sally will earn after 180 days is $55.09.
Learn more about interest rates at
https://brainly.com/question/2437603
#SPJ11
in a large ball pit, 20% of the balls are red. you plan to jump in and randomly select 10 balls. which statement is true? you are guaranteed to have exactly two red balls in your sample. you will likely have one to three red balls in your sample. you will most likely have eight red balls in your sample. it is unlikely that you will have exactly two red balls in your sample.
Answer:
You will likely have 1-3 balls in your sample.
Step-by-step explanation:
Samples aren't perfect, so you aren't guaranteed to have exactly 20% of your sample be red balls. However that isn't unlikely either. This eliminates the 1st and last options.
As for having 8, that's unlikely. While again it's
possible, to have a sample very so greatly from the actual percentages is unlikely.
Hope this helps! If it did pls give brainlest.
1) Select the ordered pair that is a solution to the equation represented by the
graph.
A. (0.5, 2)
B. (-2.4, 2)
C. (-3,0)
D. (0,-2)
A compound inequality using the variable x is [] or []
Answer:
x is -7.5 or -4.5
Write in point-slope form an equation of the line through each pair of points. (0,-1) and (3,-5)
The equation of the line in point-slope form, which passes through the pair of points located at (0 , -1) and (3 , -5), is y + 5 = -4/3(x - 3).
The equation of a line can be expressed in three different forms: standard form, slope-intercept form, and point-slope form.
The standard form of an equation of a line is expressed as ax + by = c, where a and b, if all possible must be integers, are the coefficients of variable x and y, respectively, and c is a constant. Meanwhile, slope-intercept form is given by the formula y = mx + b, where m is the slope of the line and b is the y- intercept. On the other hand, given the slope m and a point on the line (x , y), we can express the equation in point-slope form, (y - y1) = m(x - x1).
Getting the slope of the two points: (0 , -1) and (3 , -5).
m = (y2 - y1)/(x2 - x1)
m = (-5 - -1)/(3 - 0)
m = -4/3
Using the point slope form, plug in the values of the slope and one point to set up the equation.
(y - y1) = m(x - x1)
where m = -4/3 and (x1 , y1) = (3 , -5)
(y - -5) = -4/3(x - 3)
y + 5 = -4/3(x - 3)
To learn more about equation of line in point slope form: brainly.com/question/24907633
#SPJ4
Of the bundles delivered daily to the store, 1/3
consists of the morning edition of The Daily Sun.
Another 2 bundles are made up of the afternoon
edition of the same paper. Of the remaining
bundles, 1/2 is regional, one is a local
newspaper, and one is from another state. How
many bundles are delivered daily to the
bookstore?
Answer:
x=9
Step-by-step explanation:
Let total bundle=x
Morning edition of the daily sun=1/3x
=x/3
Afternoon edition of the daily sun=2
That leaves 2x/3 - 2, of which
x/3 - 1 are regional
1 is local
1 from another state
Sum everything
x = x/3 + 2 + x/3 - 1 + 1 + 1
x=2x/3 +3
x-2x/3=3
3x-2x/3=3
x/3=3
Cross product
x=3×3
x = 9
Which situation shows a constant rate of change?
A. The amount a person pays for gass compared with the numbef of gallons purchesed
B. The height of a bouncing ball over time
C. The number of tickets sold compared with the number of minutes before a football game
D. The height of a monkey swinging from branch to branch over time
Answer:
A
Step-by-step explanation:
For A, the gas price is constant and will go up the same amount for each gallon bought.
Hope that helps! :D
A pet store donated a percent of every sale to hospitals. The total sales were $8,900 so they store donated $178. What percent of $8,900 was donated to hospitals?
Answer:
2%
Step-by-step explanation:
Given data
Sales = $8,900
Donated amount= $178
Percentage of donated sales= Donated amount/ Sales*100
Percentage of donated sales= 178/ 8900*100
Percentage of donated sales=0.02*100
Percentage of donated sales=2%
Hence the percentage is 2%
Where do the negatives go on a fraction? Are they allowed to go on the numerator? And what does it mean when this happens?
5
- ——-
2
PLEASE HELP!!!
A system of linear inequalities is graphed below.
What are the linear inequalities for the system? Show your work, or explain your answer.
Answer:
System of linear inequalities is x - y + 1 < 0 and x + 2y +6 < 0
Step-by-step explanation:
Given:
The dotted line has two points as (-1,0) and (0,1).The solid line also has two points as (-6,0) and (0,-3).To Find:
Linear inequality for the system.Formula used:
Equation of a line passing through point (x1, y1) and (x2, y2) is given by (y-y1) = (y2-y1)/(x2-x1) * (x-x1)According to question, we have
Inequality for dotted line :
(y-1) > (0-1)/(-1-0) * (x-0)
y - 1 > x
x - y + 1 < 0...(1)
Inequality for solid line:
(y-(-3)) < (0-(-3))/(-6-0) * (x-0)
y + 3 < -x/2
x + 2y +6 < 0...(2)
Using (1) and (2), we get
System of linear inequalities is x - y + 1 < 0 and x + 2y +6 < 0.
Select the correct answer.Which equation represents the line that is perpendicular to y = 1/4 and passes through (-6,-9)?A. x = -9B. X=-6C. y=-9D. y=-4
SOLUTIONS
Step-by-step explanation:
y = 1/4 is the equation of a horizontal line parallel to the x- axis.
A line perpendicular to it will be a vertical line parallel to the y- axis with equation
x = c
where c is the value of the x- coordinates the line passes through.
The line passes through (- 6, - 9 ) with equation
x = - 6 →
Option B
Answer:
B
Step-by-step explanation:
y = \(\frac{1}{4}\) is the equation of a horizontal line, parallel to the x- axis and passing through all points with a y- coordinate of \(\frac{1}{4}\)
A line perpendicular to it will be a vertical line parallel to the y- axis, with equation
x = c ( c is the value of the x- coordinates the line passes through )
the line passes through (- 6, - 9 ) with x- coordinate - 6 , then
x = - 6 ← equation of perpendicular line
The graph of a linear function is shown on the coordinate grid.
your cousin says that if two fractions have the same numerator,then the fraction with the greater denominator is the greater fraction. is your cousin correct explain
It is not always true that if two fractions have the same numerator, then the fraction with the greater denominator is the greater fraction.
The statement that if two fractions have the same numerator, then the fraction with the greater denominator is the greater fraction is not always correct. This is because the value of a fraction is determined by both its numerator and denominator, and if the denominators of two fractions with the same numerator are different, then the fractions are not directly comparable.
Consider the fractions 3/4 and 3/5. Both have a numerator of 3, but the denominator of the first fraction is greater than the denominator of the second fraction. However, 3/5 is actually the greater fraction because it represents a larger portion of the whole.Consider the fractions 5/7 and 5/9. Both have a numerator of 5, but the denominator of the second fraction is smaller than the denominator of the first fraction. Therefore, 5/7 is the greater fraction because it represents a larger portion of the whole.
for such more question on fractions
https://brainly.com/question/78672
#SPJ11
In a normal distribution, what percentage of values would fall into an interval of
142.76 to 189.24 where the mean is 166 and standard deviation is 23.24
If the answer is 50.5%, please format as .505 (not 50.5%, 50.5, or 50.5 percent)
Level of difficulty = 1 of 2
Please format to 3 decimal places.
Approximately 68.3% of the values would fall into the interval of 142.76 to 189.24 in a normal distribution. Formatted to three decimal places, this is 0.683.
To calculate the percentage of values that would fall into the interval of 142.76 to 189.24 in a normal distribution, we need to use the standard normal distribution and convert the values to Z-scoers.
The formula to calculate the Z-score is:
Z = (X - μ) / σ
Where:
Z is the Z-score
X is the value
μ is the mean
σ is the standard deviation
In this case, the mean (μ) is 166 and the standard deviation (σ) is 23.24. The lower value of the interval is 142.76, and the upper value is 189.24.
Calculating the Z-scores for the lower and upper values:
Z_lower = (142.76 - 166) / 23.24
Z_upper = (189.24 - 166) / 23.24
Z_lower ≈ -0.999
Z_upper ≈ 1.007
Next, we find the area under the normal distribution curve between these two Z-scores.
Using a standard normal distribution table or calculator, we can find the corresponding probabilities:
Area between Z_lower and Z_upper ≈ 0.841 - 0.158 ≈ 0.683
To convert this to a percentage, we multiply by 100:
0.683 * 100 = 68.3
Therefore, approximately 68.3% of the values would fall into the interval of 142.76 to 189.24 in a normal distribution. Formatted to three decimal places, this is 0.683.
To know more about normal distribution refer here:
https://brainly.com/question/15103234#
#SPJ11
Which property of addition is shown?
(4+5) + 6 = 4+ (5+6)
O Associative Property
O Commutative Property
O Distributive Property
O Identity Property
Property of addition is shown Associative Property is True
What Is Associative Property?
Rearranging the parenthesis in an expression will not change the outcome since some binary operations in mathematics have the associative feature. Associativity is a legitimate rule of replacement for expressions in logical proofs in propositional logic.The associative property states that when adding or multiplying, the grouping symbols can be relocated without affecting the result. The formula for addition states (a+b)+c=a+(b+c) and the formula for multiplication states (a×b)×c=a×(b×c).
\($$(4+5)+6=4+(5+6)$$\)
Simplify\($(4+5)+6: \quad 15$\)
Simplify \(4+(5+6): \quad 15\)
\(15=15\)
Both sides are equal
True
To learn more about Associative Property visit
https://brainly.com/question/5637942
#SPJ1
In Exercises 7-12, describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given matrix.
The parametric form can be written as -
\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)
What are homogeneous and non - homogeneous matrix form?A matrix equation of the form \($A\overrightarrow x=0\) is called homogeneous matrix equation.
A matrix equation of the form \($A\overrightarrow x=\overrightarrow b\) is called non - homogeneous matrix equation.
Given is to find the solution in parametric vector form.
If there are {m} free variables in the homogeneous equation, the solution set can be expressed as the span of {m} vectors :
\($\overrightarrow x=s_{1} \overrightarrow v_{1} + s_{2} \overrightarrow v_{2}+......+s_{m} \overrightarrow v_{m}\)
We have a matrix where {A} is the row equivalent to that matrix -
\(\begin{bmatrix} 1&3&0&-4 \\ 2&6&0&-8 \end{bmatrix}\)
Given matrix can be written in Augmented form as -
\(\left[ \begin{array}{cccc|c} 1&3&0&-4 & 0\\2&6&0&-8&0\\ \end{array} \right]\)
Row Reduced Echelon Form can be obtained using the following steps -
{ 1 } - Interchanging the rows R{1} and R{2}.
\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0 \\ 1&3&0 &-4 & 0 \\ \end{array} \right]\)
{ 2 } - Applying the operation R{2} -> 2R{2} - R{1}, to make the second 0.
\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\1&3&0&-4&0 \\ \end{array} \right] \;\;\;\;\;\;R_2 \rightarrow 2R_2 - R_1\)
\(\left[ \begin{array}{cccc|c} 2 & 6 & 0 & -8 & 0 \\ 0 & 0 & 0 & 0 & 0 \\ \end{array} \right]\)
{ 3 } - Using R{1} -> R{1}/2
\(\left[ \begin{array}{cccc|c} 2&6&0&-8&0\\0&0&0&0&0\\ \end{array} \right] \;\;R_1 \rightarrow \dfrac{1}{2} R_1\)
{ 4 } - Following equation can be deducted as
\(x_1 + 3x_2 - 4x_4 =0\)
{ 5 } - We can write the parametric form as -
\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)
Therefore, the parametric form can be written as -
\(x = x_2 \left[ \begin{array}{c} -3 \\ 1 \\ 0 \\ 0 \\ \end{array} \right] + x_3 \left[ \begin{array}{c} 0 \\ 0 \\ 1 \\ 0 \\ \end{array} \right] + x_4 \left[ \begin{array}{c} 4 \\ 0 \\ 0 \\ 1 \\ \end{array} \right]\)
To solve more questions on parametric forms, visit the link below -
https://brainly.com/question/20893557
#SPJ1
Benjamin deposit $3,000 into each of two savings accounts the first savings account pays 5% interest compounded annually the second savings account pays 5% simple interest annually if Benjamin makes no other deposits or withdrawals what will be the difference between the interest earned by the two savings accounts after 4 years?
A) $46.52
B) $28.8
C) $646.52
D) $3,046.52
Answer:
The answer is B
Step-by-step explanation:
Which value best estimates the value for the correlation coefficient of the scatter plot below: 1, -0.8, -0.2, 0.2, 0.8, or 1?
what is the solution of d²–12 = 0?
d²-12=0
d²=12
d=√12
d=3.46..
Hope it helps! :)
Brainliest?
Simplify the expression:
4 + 4f2 + 6f - 6f
Answer:
4f^2 +4
Step-by-step explanation:
4 + 4f^2 + 6f - 6f
Combine like terms
4f^2 +4
Calculate the net profit margin for a
shirt sold for $12 that has a $3 cost of
goods sold and 20% operating expenses.
A. 55%
C. 70%
B. 220%
D. $7
The net profit margin for this shirt is 55%.
What is net profit?
Net profit is the amount of money your business earns after deducting all operating, interest and tax expenses over a period of time. To arrive at this value, you need to know the company's gross profit. If the value of net profit is negative, it is called net loss.
Net profit is another important parameter that determines the financial health of your business. It shows whether the company can earn more than it spends. Net profit helps you decide when and how to expand your business and when to cut costs.
It is important for a business owner to know the difference between profit and profitability. Profit is an absolute number equal to revenues minus expenses. Profitability, on the other hand, is a relative number (percentage) that equals the ratio of profit to revenue.
Profitability is a measure of efficiency and is useful in determining the success or failure of a business.
Given,
Revenue = $12
Cost of goods sold = $3
Operating expenses = 20% of revenue = 20/100 x $12 = $2.4
We know,
Net Profit = Revenue - Cost of goods sold - Operating expenses
\(Net \: Profit = 12 - 3 - 2.4\)
Hence, Net Profit = $6.6
Again,
Net Profit Margin = (Net Profit / Revenue) x 100%
Net Profit Margin \(= ( \frac{6.6}{ 12}) \times 100\%\)
SO, Net Profit Margin = 55%
Therefore, the net profit margin for this shirt is 55%.
So, it is clear that choice A is correct.
Learn more about net profit here,
https://brainly.com/question/28390284
#SPJ1