Answer:
-9x + 72
Step-by-step explanation:
1. -9(x-8)
2. distribute the 9. --> -9x + 72
A sample with a mean of m = 40 and a variance of s2 = 20 has an estimated standard error of 1 point. how many scores are in the sample? group of answer choices 4 5 20 21
The correct option is 20.
The score found for the sample is 20.
What is Standard error?A standard error is a statistic that is applied to test the distribution of data. This metric is comparable to standard deviation. We can calculate the standard error if we know the sample size & standard deviation. It assesses the mean's precision.
Now, according to the question;
Sample mean; \(\bar{x}=40\)
Sample variance; \(s^{2}=20\)
Thus, \(s=\sqrt{20}=4.47\)
Standard error SE = 1
The amount of scores with in sample must be determined here.
The standard error formula is as follows:
\(S E=\frac{s}{\sqrt{n}}\)
We might rearrange the formula as follows:
\(\begin{aligned}\sqrt{n} &=\frac{s}{S E} \\n &=\left(\frac{s}{S E}\right)^{2}\end{aligned}\)
Substituting the values;
\(\begin{aligned}&n=\left(\frac{4.47}{1}\right)^{2} \\&n=19.98\end{aligned}\)
The sample's number of scores n = 19.98 = 20 (round up)
Therefore, the scores are in the sample is 20.
To know more about the Standard error, here
https://brainly.com/question/14467769
#SPJ4
find the common difference of the arithmetic sequence -2, -11/4, -7/2
Answer = 3/4
First, change them all into like fractions.
-2, -11/4, -7/2 = -8/4, -11/4, -14/4
Therefore the common difference of their arithmetic sequence is 3/4
Hope it helps u.
Please mark the brainliest
Thank You
help ASAP pls
with solution too
Answer:
x = 7LM = KN = 27 cma = 7m∠K = m∠M = 53°Step-by-step explanation:
As KLMN is a parallelogram, its opposite sides are congruent.
Therefore, to find the value of x, equate LM and KN and solve for x.
\(\begin{aligned}LM &= KN\\\implies (5x-8)&=(4x-1)\\5x-8&=4x-1\\5x-8-4x&=4x-1-4x\\x-8&=-1\\x-8+8&=-1+8\\x&=7\end{aligned}\)
Therefore, the value of x is 7.
To find the length of LM and KN, substitute the found value of x into one of the expressions.
\(\begin{aligned}\implies LM=KN&=4(7)-1\\&=28-1\\&=27\;\sf cm\end{aligned}\)
Opposite angles of a parallelogram are congruent.
Therefore, to find the value of a, equate angles K and M and solve for a.
\(\begin{aligned}\angle K&=\angle M\\\implies (7a+4)^{\circ}&=(6a+11)^{\circ}\\7a+4&=6a+11\\7a+4-6a&=6a+11-6a\\a+4&=11\\a+4-4&=11-4\\a&=7\end{aligned}\)
Therefore, the value of a is 7.
To find the measure of angles K and M, substitute the found value of a into one of the expressions.
\(\begin{aligned}\implies m \angle K = m \angle M &= (6(7)+11)^{\circ}\\&= (42+11)^{\circ}\\&= 53^{\circ}\end{aligned}\)
As a result, the value of "a" is 7 as an angle and the value of "x" is 27 centimeters as a parallelogram's side.
what is parallelogram ?A parallelogram is a geometric form with four equal edges that are parallel to one another and have the same length. It is a particular kind of quadrilateral, which is a four-sided shape. The characteristics of a quadrilateral are as follows: The lengths of the opposing edges are parallel and equal. Congruent opposite points (i.e., they have the same measure). Concurrent views are helpful (i.e., they add up to 180 degrees). The diagonals cut each other in half (i.e., they intersect at their midpoint). A = base x height, where the base is any one of the parallel sides and the height is the angle between the parallel sides, gives the area of a trapezoid.
given
KLMN has identical opposites because it is a parallelogram.
As a result, equal LM and KN and then solve for x to determine the value of x.
LM = KN
5x -8 = 4x -1
x - 8 = -1
x = 7
Consequently, x has a value of 7.
In one of the equations, enter the discovered value of x to determine the lengths of LM and KN.
LM = KN = 4(7) -1
= 28 -1
= 27 cm
A parallelogram has opposite edges that are congruent.
As a result, equal angles K and M and then solve for a to determine the value of a.
(7a + 4 ) = (6a + 11)
= a+4 = 11
a = 7
Consequently, a has a value of 7.
Substitute the discovered value of an into one of the formulas to determine the measure of angles K and M.
m∠K = m∠M = (6(7) + 11)°
=(42 + 11)°
= 53°
As a result, the value of "a" is 7 as an angle and the value of "x" is 27 centimeters as a parallelogram's side.
To know more about parallelograms visit:
https://brainly.com/question/29147156
#SPJ1
Use the distributive property of operations and choose the correct equivalent expression
for the given expression.
15 - 21p
a) 5(3 - 7p)
b) 3(5 - 7p)
C) 15(5 - 7p)
d) 305 - 21p)
Answer:
It's B, 3(5 - 7p)
Step-by-step explanation:
3(5 - 7p)=15-21p
This is really simple, please try to learn the concept
do you guys know which one im supposed to choose
Answer:
you have to aline it with what graph it is.
Step-by-step explanation:
Ricky is making diamond shapes in different sizes from pieces of wire. The diamonds will be used to decorate a barn for a barn dance. How many inches of wire will Ricky need to make a diamond with sides that are 9 inches long?
Answer:
Step-by-step explanation:
Due in half hour, please help!
Answer:
Your answer will be 69
Step-by-step explanation:
In a scene from a television show, a van rolls down an incline and off a vertical cliff, falling into a valley below. The van starts from rest and rolls down the incline, which makes an angle of 18.0° below the horizontal, with a constant acceleration of 2.90 m/s2. After rolling down the incline a distance of 40.0 m, it reaches the edge of the cliff, which is 45.0 m above ground level.
(a) How much time (in s) does it take the van to fall from the edge of the cliff to the landing point?
(b)
At the point where the van crashes into the ground, how far is it horizontally from the edge of the cliff (in m)?
Answer:
its A
Step-by-step explanation:
A
Answer:50
Step-by-step explanation:i said so
The mean mass of five men is 76 kg. The masses of four of the men are 72 kg, 74 kg, 75 kg and 81 kg. What is the mass of the fifth man
Answer:
78kg
Step-by-step explanation:
76×5= 380kg
380-72-74-75-81= 78kg
If you can buy one can of pineapple chunks
for $2 then how many can you buy with ·
$4
Answer:
2 cans
Step-by-step explanation:
1 can = $2
$4 divided by $2 is 2 cans
Refer to Exercise 8.5. Compute 10-year relative population change y1 = (5.3 -3.9)/3.9, y2 = (7.2 - 5.3)/5.3, etc. (a) Compute sample mean, median, and variance of the relative population change. (b) Construct a time plot of the relative population change. What trend do you see now? (c) Comparing the time plots in Exercises 8.6 and 8.7, what kind of correlation between xi and yi would you expect? Verify by computing the sample correlation coefficient (11 - 1)(y – 5)/(n-1) What can you conclude? How would you explain this phenomenon? #4. 8.5 on page 234 8.5. The following data set shows population of the United States (in million) since 1790, Year 1790 1800 1810 1820 1830 1840 1850 1860 1870 1880 1890 1900 Population 3.9 5.3 7.2 9.6 12.9 17.1 23.2 31.4 38.6 50.2 63.0 76.2 Year 1910 1920 1930 1940 1950 1960 1970 1980 1990 2000 2010 Population 92.2 106.0 123.2 132.2 151.3 179.3 203.3 226.5 248.7 281.4 308.7
(a) The 10-year relative population change y1= 0.358 , y2= 0.358 , y4= 0.344 , y5= 0.325 , y6= 0.356 , y7= 0.353, y8=0.230 , y9= 0.301, y10= 0.255 b.
(a) The 10-year relative population change can be calculated as follows:
y1 = (5.3 - 3.9) / 3.9 = 0.358
y2 = (7.2 - 5.3) / 5.3 = 0.358
y3 = (9.6 - 7.2) / 7.2 = 0.333
y4 = (12.9 - 9.6) / 9.6 = 0.344
y5 = (17.1 - 12.9) / 12.9 = 0.325
y6 = (23.2 - 17.1) / 17.1 = 0.356
y7 = (31.4 - 23.2) / 23.2 = 0.353
y8 = (38.6 - 31.4) / 31.4 = 0.230
y9 = (50.2 - 38.6) / 38.6 = 0.301
y10 = (63.0 - 50.2) / 50.2 = 0.255
To compute the sample mean, median, and variance of the relative population change, we can use these values.
(b) To construct a time plot of the relative population change, we plot the values of y1 to y10 on the y-axis against the corresponding years on the x-axis. This plot will show the trend of the relative population change over time.
(c) Comparing the time plots in exercises 8.6 and 8.7, we can expect a correlation between xi (years) and yi (relative population change). To verify this correlation, we can compute the sample correlation coefficient using the formula (11 - 1)(y - 5) / (n - 1), where y is the sample mean of the relative population change. The correlation coefficient will indicate the strength and direction of the linear relationship between the years and the relative population change. Based on this coefficient, we can draw conclusions about the correlation between the two variables and explain the observed phenomenon.
learn more about population here:
https://brainly.com/question/31598322
#SPJ11
Solve expression completely.
64°
O
1
O 64
O Unknown
Answer:
b
Step-by-step explanation:
true or false: if you are given a graph with two shiftable lines, the correct answer will always require you to move both lines.
False. if you are given a graph with two shif table lines, the correct answer will always require you to move both lines.
In a graph with two shiftable lines, the correct answer may or may not require moving both lines. It depends on the specific scenario and the desired outcome or conditions that need to be met.
When working with shiftable lines, shifting refers to changing the position of the lines on the graph by adjusting their slope or intercept. The purpose of shifting the lines is often to satisfy certain criteria or align them with specific points or patterns on the graph.
In some cases, achieving the desired outcome may only require shifting one of the lines. This can happen when one line already aligns with the desired points or pattern, and the other line can remain fixed. Moving both lines may not be necessary or could result in an undesired configuration.
However, there are also situations where both lines need to be shifted to achieve the desired result. This can occur when the relationship between the lines or the positioning of the lines relative to the graph requires adjustments to both lines.
Ultimately, the key is to carefully analyze the graph, understand the relationship between the lines, and identify the specific criteria or conditions that need to be met. This analysis will guide the decision of whether one or both lines should be shifted to obtain the correct answer.
Learn more about graph from
https://brainly.com/question/19040584
#SPJ11
g+1/4Ua=b
solve for A.
Answer:
a=4b/u-4g/u
Step-by-step explanation:
You got this!
Is this a special product? If yes, what type81a2b4 − c6
Special Product are the result of binomials being multiplied, or simplified further, and can be solved with ease using the First Last Inner Outer method. this product is not a special product.
Special Product (a+b) (a+b) = aa + ab + ab + bb = \(a^{2} + 2ab + b^{2}\).
we can use this formula anytime we are multiplying a binomial of the form a + b.
Factor as a Difference of Squares
factoring: \(81a^{2} b^{4} - c^{6}\) = \((3^{4}a^{2} . b^{4}) - c^{6}\)
A difference of two perfect squares, \(A^{2} - B^{2}\) can be factored into
\((A+B)(A-B)\\A^{2} - AB + BA - B^{2}\\ A^{2} - AB + AB -B^{2}\\ A^{2} -B^{2}\)
AB = BA is he commutative property of multiplication from the expression.
-AB+BA equal zero and is therefore eliminated from the expression.
81 is the square of 9
\(a^{2}\) is the square of \(a^{1}\)
\(b^{4}\) is the square of \(b^{2}\)
\(c^{6}\) is the square of \(c^{3}\)
Factorization is \((9ab^{2}+c^{3}) . (9ab^{2}-c^{3} )\)
Factoring: \((9ab^{2}+c^{3})\)
A sum of perfect cubes, \(a^{3} + b^{3}\) can be factored into :\((a+b).(a^{2}-ab+b^{2})\\a^{3}-a^{2}b+ab^{2}-b^{2}a+b^{3}\\ a^{3}+(a^{2}b-ba^{2})+(ab^{2}-b^{2}a)+b^{3}\\ a^{3}+b^{3}\)
9 is not a cube(Binomial can not be factored as the difference of two perfect cubes)
Factoring: \((9ab^{2}-c^{3} )\)
A difference of two perfect cubes, \(a^{3} - b^{3}\) can be factored into
\((a-b).(a^{2}+ab+b^{2})\\a^{3}+a^{2}b+ab^{2}-ba^{2}-b^{2}a-b^{3}\\ a^{3}+(a^{2}b-ba^{2})+(ab^{2}-b^{2}a)-b^{3}\\ a^{3}-b^{3}\)
9 is not a cube(Binomial can not be factored as the difference of two perfect cubes)
Hence, 81a2b4 - c6 this solution deals with factoring binomials as the sum or difference of cubes.
Learn more about Special Product here https://brainly.com/question/13647939
#SPJ9
15. ___________ is a statistic that refers to the proportion of observed variance in a group of individuals that can be accounted for by genetic variance
Heritability is a statistic that quantifies the proportion of observed variance in a group of individuals that can be attributed to genetic variance.
Heritability is a fundamental concept in genetics and behavioral sciences that helps understand the extent to which genetic factors contribute to observed variations in a particular trait within a population. It measures the proportion of phenotypic variation (differences in traits) that can be explained by genetic variation. Heritability estimates range from 0 to 1, where a value of 0 indicates that all observed variation is due to environmental factors, and a value of 1 suggests that all observed variation is due to genetic factors.
To calculate heritability, researchers typically study populations with varying degrees of genetic relatedness, such as twins or family members. By comparing the similarity of traits between individuals with known genetic relatedness, it is possible to estimate the contribution of genetic factors to the observed variance. Environmental factors that contribute to phenotypic variation are considered as part of the non-genetic or "environmental" component.
It is important to note that heritability estimates are population-specific and apply only to the particular group being studied. Additionally, heritability does not provide information about specific genes or the precise mechanisms by which genetic factors influence traits. Nonetheless, heritability serves as a valuable tool in understanding the relative importance of genetic and environmental factors in shaping individual differences within a population.
Learn more about Heritability here:
https://brainly.com/question/27222788
#SPJ11
Did I graph this equation right?
Equation: P=125+50w
Answer:
yes
Step-by-step explanation:
You want a graph of P = 125 +50W.
Slope-intercept formThe given equation is in slope-intercept form. The independent variable is W, and the dependent variable is P.
Axes assignmentsUsually, the independent variable is graphed on the horizontal axis, which you have done.
The dependent variable is graphed on the vertical axis, which you have done.
The axes are correctly labeled and graduated.
InterceptThe "y-intercept" (P value) when the independent variable is zero is the constant in the equation, 125. You have correctly shown that on the graph.
SlopeThe slope of the line is the coefficient of the independent variable (W) in the equation. You have correctly shown that P increases by 50 when W increases by 1.
Yes, you properly graphed the equation.
<95141404393>
whats the slope of (-5,-11) and (-2, 1)
Answer:
4
Step-by-step explanation:
Current standards suggest that a single subject research design can demonstrate a functional relation between the independent and dependent variables with a minimum of __________ effects.
Current standards indicate that a single subject research design should demonstrate a functional relation between independent and dependent variables with a minimum of three effects.
Single subject research designs, also known as single case experimental designs, are experimental designs commonly used in behavioral sciences to study the effects of interventions or treatments on individuals. These designs involve repeated measurement of the dependent variable under different conditions or phases.
To establish a functional relation between the independent and dependent variables, current standards suggest that a minimum of three effects should be demonstrated. These effects typically consist of a baseline phase, an intervention phase, and a return-to-baseline phase. The baseline phase serves as a control condition where the independent variable is absent or has no effect on the dependent variable. The intervention phase introduces the independent variable, and its effects on the dependent variable are observed.
Learn more about relation here:
https://brainly.com/question/31111483
#SPJ11
The ratio of adults to students on a class field trip is 2 to 5. If there are 12 more students than adults, which proportion and solution represent this situation
So, there are 3 more "parts" of students than of adults (5 - 2), right?
Those 3 parts are made up of 12 people.
12/3 = 4 people per part
2(4) = 8 adults
5(4) = 20 students
Answer:
2/5=8
Step-by-step explanation:
a rock is thrown from (2,1) to (12,18). how far did the rock travel
Answer:
18.136 units of distance
Step-by-step explanation:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) = (2, 1) and (x2, y2) = (12, 18)
d = sqrt((12 - 2)^2 + (18 - 1)^2)
= sqrt(10^2 + 17^2)
= sqrt(329)
≈ 18.136
Therefore, the rock traveled approximately 18.136 units of distance.
The carrying capacity for species 1 is 1000 and for its competitor, species 2, it is 500. What is the maximum abundance of species 1 if 250 of species 2 coexists with it?
A. 250
B. 500
C. 1000
D. 1250
The maximum abundance of species 1 if 250 of species 2 coexists with it is B. 500.
Determine the carrying capacity ratio between species 1 and 2.
Carrying capacity of species 1 = 1000
Carrying capacity of species 2 = 500
Ratio = 1000 / 500 = 2
Calculate the abundance of species 1 considering the presence of species 2.
Abundance of species 2 = 250
Abundance of species 1 = 2 * 250 = 500
So, the maximum abundance of species 1 if 250 of species 2 coexists with it is 500 (Option B).
Learn more about "carrying capacity": https://brainly.com/question/797991
#SPJ11
Find the measure of
The measure of exterior angle ACD is 132°
Exterior angle theorem of a triangleThe exterior angle theorem states that whenever a triangle's side is extended such that it creates another exterior(outside angle), the resultant exterior angle created is equal to the sum(addition) of the other two opposite (inner) interior angles of the triangle.
From the information given:
Angle A = 50; Angle B = 4x + 2, Angle ACD = 6x + 12
Therefore;
50 + 4x + 2 = 6x + 12
52 + 4x = 6x + 12
4x - 6x = 12 - 52
-2x = - 40
x = 20
Since x = 20, angle ACD = 6x + 12
The measure of angle ACD = 6(20) + 12 =132°
Learn more about calculating the exterior angles of a triangle here:
https://brainly.com/question/29389110
#SPJ1
Which of the following is one of Pryor's 10 Laws of shaping?
A. Measure behavior using trial by trial data
B. Use food reinforcers to change behavior
C. Always conduct a preference assessment
D. Train one behavior at a time
D. Train one behavior at a time
One of Pryor's 10 Laws of shaping is D. Train one behavior at a time is one of Pryor's 10 Laws of shaping. This law emphasizes the importance of focusing on one behavior at a time when shaping behavior.
By doing so, the trainer can avoid confusing the animal and can more effectively reinforce the desired behavior. This law also helps the trainer to break down complex behaviors into smaller, more manageable parts, which can then be shaped individually.
According to Karen Pryor's 10 Laws of Shaping, one of the key principles is to train one behavior at a time. This is important because it helps the learner to focus on mastering a specific behavior without getting overwhelmed or confused by multiple tasks.
By concentrating on one behavior at a time, the trainer can provide clear, consistent reinforcement and feedback, which increases the likelihood of successfully shaping the desired behavior.
Overall, following this law can lead to more successful shaping and training outcomes.
Learn more about reinforcement here:
brainly.com/question/5162646
#SPJ11
Among the provided options, Pryor's 10 Laws of Shaping suggests training one behavior at a time. This technique avoids confusion and ensures reliable behavior is established before moving to the next behavior.
Explanation:According to Pryor's 10 Laws of Shaping, among the given options, the correct answer is: Train one behavior at a time. This rule focuses on the fact that trying to shape multiple behaviors simultaneously can often lead to confusion for the individual or animal being trained. Instead, it's more effective to focus on one behavior at a time, reinforcing each successful approximation towards the target behavior before moving on to the next. The goal is to build a strong, reliable behavior before adding complexity or new behaviors.
Learn more about Pryor's 10 Laws of Shaping here:https://brainly.com/question/34587764
Find the value of h(-67) for the function below.
h(x) = -49x − 125
A.
-3,408
B.
3,158
C.
3,283
D.
-1.18
Answer:
B. 3,158
Step-by-step explanation:
h(x) = -49x − 125
Let x = -67
h(-67) = -49(-67) − 125
=3283-125
= 3158
Answer:
Answer B
Step-by-step explanation:
To find the value of h(-67) for the function h(x) = -49x - 125,
we substitute -67 for x in the function and evaluate it.
h ( - 67 ) = - 49 ( - 67 ) - 125
Now we can simplify the expression:
h ( -67 ) = 3283 - 125
h ( -67 ) = 3158
please answer this is due in 20 minutes !!!
Answer:
Non-Proportional
Hope this helps!
Take care!
Answer:
i think the answer is non- proportional
Step-by-step explanation:
A retailer is offering 5% off your total order, if you sign up for their email list. If your total is $254.20, how much will you save by signing up?
Answer:
$254.20 - 5%= 241.49 US$
so you will save up to 14
What is 8 11/12 + 9 5/18
Step-by-step explanation:
The picture is the full explanation for this question answer.
18.19 is the solution for the given improper function.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
To add 8 11/12 and 9 5/18, we need to first find a common denominator. The smallest number that both 12 and 18 divide evenly is 36.
Converting 8 11/12 to an improper fraction:
8 11/12 = (8 × 12 + 11) / 12 = 107/12
Converting 9 5/18 to an improper fraction:
9 5/18 = (9 × 18 + 5) / 18 = 167/18
Now that we have a common denominator of 36, we can add the two fractions:
107/12 + 167/18 = (107 × 3) / (12 × 3) + (167 × 2) / (18 × 2)
= 321/36 + 334/36 = 655/36
So 8 11/12 + 9 5/18 = 655/36 or approximately 18.19.
Learn more about Mathematical operations here:
https://brainly.com/question/20628271
#SPJ2
Consumer Math A
Joe started with a checkbook balance of $836.83. What is his new balance after making the four transactions below?
Transaction Description Payment (Debit) Deposit (Credit) Balance
Electric Bill
Paycheck
Rent
Car Payment
-$184.64
-$1,280.00
-$399.00
+$2,771.28
$836,83
POSS
Answer: 1744.47
Step-by-step explanation:
i think this is the answer!!!!
What is the slope of a line perpendicular to the line whose equation is 3x+y=83x+y=8. Fully simplify your answer
Answer:
(−13)
Step-by-step explanation:
all lines perpendicular to it have a slope of
(
−
1
m
)
3
x
−
y
=
8
can be written as
XXXX
y
=
3
x
−
8
which is the slope intercept form, with a slope of
3
Any line perpendicular to
3
x
−
y
=
8
will have a slope of
(
−
1
3
)