Answer: Yes it is
Step-by-step explanation: 2(3p) = 2 x 3p = 6p
8p - 2p = 6p
Answer:
yes
Step-by-step explanation:
2(3p) = (2*3)p=6p
8p-2p = (8-2)p = 6p
So, 2(3p) is equivalent to 8p-2p
Find the value of x round to the nearest tenth
Answer:
8.2
Step-by-step explanation:
sin^-1 (8.2/21) is 22.984 which is pretty close to 23
The function g is defined as g(x)=5x² – 3.
Find g(x+1).
Answer:
5x² + 10x + 2
Step-by-step explanation:
g(x + 1) = 5(x + 1)² - 3 = 5( x² + 2x + 1 ) - 3 = 5x² + 10x + 2
The following estimated regression equation was developed for a model involving two independent variables.
ŷ =40.7+8.63x1+2.71x^2
After x2 was dropped from the model, the least squares method was used to obtain an estimated regression equation involving only x1 as an independent variable.
ŷ= 42.0+9.01x1
Required:
a. Give an interpretation of the coefficient of x1 in both models.
b. Could multicollinearity explain why the coefficient of x1 differs in the two models? If so, how?
Answer:
(a): y increases on average by 8.63/unit of x1 in the first equation and increases on average by 9.01/unit of x1 in the second
(b): Yes
Step-by-step explanation:
Given
[tex]\wedge y = 40.7 + 8.63x_1 +2.71x_1[/tex]
[tex]\wedge y = 42.0 + 9.01x_1[/tex]
Solving (a): An interpretation of x1 coefficient
We have the coefficients of x1 to be 8.63 and 9.01
Literally, the coefficient represents the average change of y-variable per unit increase of the dependent variable
Since the coefficients of x1 in both equations are positive, then that represents an increment on the y variable.
So, the interpretation is:
y increases on average by 8.63/unit of x1 in the first equation and increases on average by 9.01/unit of x1 in the second
Solving (b): Multicollinearity
This could be the cause because x1 and x2 are related and as a result, x2 could take a part of the coefficient of x2
What is the area of this triangle, in square units? Explain or show your reasoning.
Answer:
Half of the base multiple by the height
The area of a triangle is 150 in2. If the height is 20 inches, find the
length of the base.
Answer: The base of the triangle is 15 inches
Formula for area of a triangle: A = bh/2
Subsitute values into the formula:
150 = b(20)/2
Now solve for b
150 = b20/2
x 2 x2
--------------------
300 = b20
300/20 = b20/20
15 = b
The base of the triangle is 15 inches
Adriana's cell phone carrier withdraws $65.75 from her bank account each month to pay her cell phone bill. She deposits a paycheck each month in the amount of $832.43. What is the change in her bank account after three months?
Answer:
38.0
Step-by-step explanation:
first you divide then times
Susanne is going to college and was informed that she will get a grant to pay for
her tuition. Which statement describes a grant?
Answer:
what are the options????
Need help!!!!! with this test pls IM SORRY FOR ASKING SO MANY TIMES BUT PLS HELP
Answer:
I hope its 15/10
Step-by-step explanation:
please let me know if its wrong
These are lines in a plane that are always the same distance apart and never intersect. What are they? *
Answer:
Parallel lines
Step-by-step explanation:
Parallel lines never intersect and are always same distance apart.
Hope this helps, thank you :) !!
Answer: Parallel Lines
Step-by-step explanation:
Here is an expression:4 . 3t Evaluate the expression when t is 2.
Simplify this expression-6+3m+2-m+8
Answer:
2m+4
Step-by-step explanation:
[tex] \rm \mapsto - 6 + 3m + 2 - m + 8 \\ \rm \mapsto3m - m - 6 + 2 + 8 \\ \rm \mapsto2m + 4 \\ \rm \mapsto2(m + 4)[/tex]
Answer:
4+2m
Step-by-step explanation:
-6+3m+2-m+8
(-6+2+8)+(3m-m)
4+2m
Question 6 of 10
Suppose that there were a strong correlation between the variables dand f.
Which of these is a true statement?
A. d must cause f.
O B. dmay cause f.
O C. dmust not cause f.
D. f must cause d.
The data below shows the selling price (in hundred thousands) and the list price (in hundred thousands) of homes sold. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using α = 0.05.
Selling Price (x) 404 303 379 433 455 479 317 355 420 332
List Price (y) 415 317 389 436 486 479 323 368 435 343
a. Is there sufficient evidence to conclude that there is a linear correlation between the two variables?
b. Is there sufficient evidence to conclude that there is a linear correlation the two variables?
Answer:
Since the calculated t= 7.8120 falls in the critical region ≥ 2.306 we reject H0 and conclude that there is a linear correlation between the two variables.
Step-by-step explanation:
We see that r²= 0.981 and r= 0.995 from the figure .
The P- value is less than 0.05 which indicates that the two variables are linearly correlated.
Set up the hypothesis as
H0: β= 0 i.e the two variables X and Y are not related
Ha: β≠0 i.e the two variables are related
The significance Level is set at ∝=0.05
The test statistic , if H0 is true is
t= b/sb
where sb² = s²yx / ∑( x-x`)² = ∑( y-y`)²/n-2 ∑( x-x`)²
assuming that the distribution of Yi for each Xi is normal with the same mean and the same standard deviation , the statistic t conforms to the Student's t distribution with n-2= 8 degrees of freedom
(X - x`)2 (X - x`)(Y - y`) (Y - y`)2
265.69 259.17 15.9²=252.81
7174.09 6953.87 -82.1²=6740.41
75.69 87.87 -10.1=102.01
2052.09 1671.57 36.9²=1361.61
4529.29 5848.37 86.9²=7551.61
8335.69 7294.87 79.9²=6384.01
4998.49 5380.27 -76.1²=5791.21
1069.29 1016.97 -31.1=967.21
1043.29 1159.57 35.9²=1288.81
3102.49 3124.77 -56.1²=3147.21
SS: 32646.1 SP: 32797.3 33,586.9
Sum of X = 3877
Sum of Y = 3991
Mean X = 387.7
Mean Y = 399.1
Sum of squares (SSX) = 32646.1
Sum of products (SP) = 32797.3
b = SP/SSX = 32797.3/32646.1 = 1.00463
a = Y` - bX `= 399.1 - (1*387.7) = 9.60437
Syx= √∑(y-y`)²/n-2= 33,586.9/8= 4198.3625
sb= syx/ √∑(x-x`)²=4198.3625/32646.1 =0.12860
Putting the values in the regression equation
ŷ = bX + a
ŷ = 1.00463X + 9.60437
The critical region is t ≥ t (0.025) (8)= 2.306
t= b/ sb= 1.00463/ 0.12860=7.8120
Since the calculated t= 7.8120 falls in the critical region ≥ 2.306 we reject H0 and conclude that there is a linear correlation between the two variables.
In simplest radical form, what are the solutions to the quadratic equation 6 = x2 - 10/?
Quadratic formula: * = -bt/b? 40c
20
O x=5+31
O x = 51/19
O x = 5+219
O x = 5+2/31
Answer:
[tex]x = 5 \± \sqrt{31}[/tex]
Step-by-step explanation:
Given
[tex]6 = x^2 - 10x[/tex]
Required
The solution in radical form
[tex]6 = x^2 - 10x[/tex]
Rewrite as:
[tex]x^2 - 10x - 6 = 0[/tex]
Using the quadratic formula, we have:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where
a = 1
b = -10
c = -6
So, we have:
[tex]x = \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*(-6)}}{2*1}[/tex]
[tex]x = \frac{10 \± \sqrt{100 +24}}{2*1}[/tex]
[tex]x = \frac{10 \± \sqrt{124}}{2}[/tex]
Split the roots
[tex]x = \frac{10 \± \sqrt{4 * 31}}{2}[/tex]
Express [tex]\sqrt 4[/tex] as 2
[tex]x = \frac{10 \± 2\sqrt{31}}{2}[/tex]
Split the fraction
[tex]x = \frac{10}{2} \± \frac{2\sqrt{31}}{2}[/tex]
[tex]x = 5 \± \sqrt{31}[/tex]
3.Write the equation of the line best fit
Answer: y = -5/8x + 6
Step-by-step explanation: The line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points. The line of best fit is already given in this specific question, and we just have to figure out the equation of that line. The equation can be determined using the equation y=mx+b, where "y" represents the output, "m" represents the slope (vertical change compared to the horizontal change), "x" represents the input, and "b" represents the y-intercept (where the line crosses the y-axis). Since the slope (rise over run) is -5/8 and the y-intercept is (0,6), the equation of the line of best fit is y=-5/8x+6.
A package of 3 pairs of insulated gloves costs $15.57. What is the unit price of the pairs of gloves?
The unit price is $per pair of gloves.
Answer:
$5.19
Step-by-step explanation:
→ Write the ratio
3 : 15.57
→ Divide both sides by 3
1 : 5.19
Answer:
5
Step-by-step explanation:
A clown weighs 60 lb more than a trapeze artist. The trapeze artist weighs two-thirds as much as the clown. How much does each weigh?
Answer:
Step-by-step explanation:
well if the clown weighs 60 lbs more than the trapeze artist...
and the trapeze artist is 2/3 the weight of the clown...
then the trapeze artist must weigh 120 lbs..
and the clown must weigh 180 lbs..
i hope this was correct lol
PLEASE HELPPPP
Find the product or type
"impossible"
2
[3 1 -6
0
1]
[?]
Answer:
0
Step-by-step explanation:
(3 * 2) + (1 * -6) + (1 * 0)
6 + -6 + 0 = 0
It’s not 15 read the text
Answer:
B
Step-by-step explanation:
I think it is B because 6 times 5 = 30. So 30 times 1/2 = 60 hope this is correct and it helped and if it is not correct try C and can i get a brainliest
Please help me out on this!!
Answer:
12.68
Step-by-step explanation:
will give brainlyist helpppp
The average depth of the Arctic Ocean is approximately 1050 meters, and the average depth of the Indian Ocean is approximately 3900 meters. To the nearest tenth, how many times as great is the average depth of the Indian Ocean compared to the average depth of the Arctic Ocean?
A. 3.7
B. 3.1
C. 2.8
D. 2.2
Answer:
A. 3.7
Step-by-step explanation:
3900/1050 = 3.7
Answer:
3.7
Step-by-step explanation:
[tex]3900 \1050 = 3.7 \\ [/tex]
Find the rate of change for the interval [5,15]
4/5 of the senior class went to prom if 324 seniors went to prom how many are there in the senior class
Answer:
405
Step-by-step explanation:
324 seniors is 4/5 of all seniors. To find how many 5/5 of the seniors is, we find 1/5 and multiply it by 5. Since 4/5 is 4 times 1/5, divide 324 by 4. The answer is 81, which is 1/5 of the seniors. Multiply 81 by 5 to get all 5/5. 81 * 5 is 405
Enter an equation of the form y= mx for the line that passes through the
origin and has slope 13.
Answer:
y = 13x
Step-by-step explanation:
gradient = 13
x = 0
y = 0
[tex]\frac{Δy}{Δx}[/tex]
so [tex]\frac{y - 0}{x - 0}[/tex] = 13
cross multiply and you get
y = 13x
Find the midpoint of the segment below and enter its coordinates as an
ordered pair. If necessary, express coordinates as fractions, using the slash
mark (7) for the fraction bar.
10
(3,7)
Answer here
-10
10
(2, -1)
-10
Answer:
([tex]\frac{5}{2}[/tex], 3)
Step-by-step explanation:
I got 5/2 as my x variable and 3 for my y variable to being the midpoint. In which I added both my x variables provided ( 3 and 2 ) and then I divided them by two to get half of that (since you are looking for in between those two digits technically so you are wanting to find the midpoint or the middle of that line segment). I also did the same with the two y variables as well which were 7 and -1, then I divided both by two to get the variable 3.
Answer:
5/2, 3
Step-by-step explanation:
that should be your answer (hopefully)
look at pic 10 pts will mark brainilest
Answer:
x/4 = 14
Bottom right one
Step-by-step explanation:
x/4 = 14
Bottom right one
There were 4 total and each payed 13.
Answer:
A 4x=$13
Step-by-step explanation:
what is the range of f?
Answer:
Range is [tex]-5 \le y \le 5[/tex]
Range in interval notation is [-5, 5]
==========================================================
Explanation:
Refer to the diagram below. As marked in red, the smallest y value is y = -5. The largest y value is y = 5. The range is the set of y values between these endpoints, including both endpoints.
We can say the range is [tex]-5 \le y \le 5[/tex]
In interval notation, we write that as [-5, 5]. The use of square brackets tells the reader that the endpoints are included as part of the range.
2.please I need help
9514 1404 393
Answer:
48°60°72°Step-by-step explanation:
The sum of ratio units is 4+5+6 = 15, so each unit stands for 180°/15 = 12°. Multiplying the ratio units by 12° gives the angle values:
4×12° : 5×12° : 6×12° = 48° : 60° : 72°
Angles 1 to 3 are 48°, 60°, 72°, respectively.
Convert 85 feet per day into miles per year.
Answer:
85 feet per day = 5.879846 miles per year.
Answer:
5.88 miles
Step-by-step explanation:
85 x 365 =31,025 feet per year
31025/5280 = 5.88 miles
no links and respond with an explanation please.
Answer:
2b+1j=?
Step-by-step explanation:
2b represent 2 granola bars