Step-by-step explanation:
-11b + 7 = 40
-11b = 40 - 7
-11b = 33
b = 33/-11
b = - 3
Regression modeling is a statistical framework for developing a mathematical equation that describes how: a. One explanatory and one or more response variables are related b. Several explanatory and several response variables response are related c. One response and one or more explanatory variables are related d. All of these are correct
Answer:
c. One response and one or more explanatory variables are related.
Step-by-step explanation:
Regression shows the relationship between a given variable and its covariates, which can be one or more. The initial variable is the dependent or response variable selected to show its level of variation with respect to one or more independent or explanatory variables.
Therefore, regression modeling describes how one response is related to one or more explanatory variables.
Please answer this correctly
Answer:
33.3%
Step-by-step explanation:
The numbers greater than 6 from the spinner are 7 and 8.
2 numbers out of total 6 numbers.
2/6 = 1/3
= 0.333
= 33.3%
Evaluate the expression for x=8. y=-0.1. and Z=4.6.
XZ-Y
XZ-Y
Answer:
36.9Step-by-step explanation:
write down the expression:
x*z-y
lets plug in the variables to evaluate the expression:
8*4.6-(-0.1)
36.8+0.1
36.9
Answer:
36.9Given,
X=8
y=-0.1
z=4.6
Now,
[tex]xz - y \\ = 8 \times 4.6 - ( - 0.1) \\ = 36.8 - ( - 0.1) \\ = 36.8 + 0.1 \\ = 36.9[/tex]
hope this helps..
Good luck on your assignment..
Any help would be great
Answer:
V = 137.2
Step-by-step explanation:
We are given the volume equation. Simply plug in your r into the equation and calculate and you should get 137.189 as your answer.
Which foundation drawing matches this orthographic drawing ?
The correct answer is A
Explanation:
An orthographic drawing shows a three-dimensional figure from different perspectives or sides. Indeed, the orthographic drawing in the question shows how the object looks if you see this the front, side, and top of this. This implies the foundation drawing needs to match the figures of the orthographic drawing.
According to this, the correct figure is A because this is the only one that has a rectangle shape, and due to this, if you look at this from any different sides you will always see a rectangle. For example, the top view shows a rectangle of approximately 2x3 squares, and this view only fits with option A because B and C are not complete rectangles and therefore their top view is not a rectangle.
What is simplified expression for the expression below
Answer:
4(x+8) + 5(x-3)
= 4x + 32 + 5x - 15
= 9x + 17
Answer:
9x+17
Step-by-step explanation:
HOpe It HelPs!!!!!
Also download photo math bc it help with stuff like this!!!!
f(x) = (x + 2)(x + 2)
[tex]\displaystyle f(x) = (x + 2)(x + 2)[/tex]
[tex]\displaystyle f(x) = (x + 2)^2[/tex]
Answer:
[tex]f(x) = {(x + 2)}^{2} [/tex]
Step-by-step explanation:
[tex]f(x) = (x + 2)(x + 2) \\ f(x) = {(x + 2)}^{2} [/tex]
hope this helps you.
Someone help me please?
[tex]32500[/tex]
[tex]0.00604[/tex]
[tex]2.4 \times 10^6[/tex]
[tex]1.47 \times 10^{-3}[/tex]
Answer:
A) 32500
B) 0.00604
C) [tex]2.4 * 10^6[/tex]
D) [tex]1.47 * 10^{-3}[/tex]
A roller coaster car is going over the top of a 13-mm-radius circular rise. At the top of the hill, the passengers "feel light," with an apparent weight only 50 %% of their true weight. How fast is the coaster moving?
Answer:
0.253 m/s
Step-by-step explanation:
radius r of the circular rise = 13 mm = 0.013 m
apparent weight loss = 50%
acceleration of the new weight = 0.5 x 9.81 = 4.905 m/s^2
centripetal acceleration = 9.81 - 4.905 = 4.905 m/s^2
centripetal acceleration = [tex]\frac{v^{2} }{r}[/tex]
where v is the acceleration at the rise and r is the radius of the rise
centripetal force = [tex]\frac{v^{2} }{r}[/tex] = [tex]\frac{v^{2} }{0.013}[/tex]
4.905 = [tex]\frac{v^{2} }{0.013}[/tex]
[tex]v^{2}[/tex] = 0.063765
v = [tex]\sqrt{0.063765}[/tex] = 0.253 m/s
Find the interquartile range (IQR) of the data in the dot plot below. luis lacrosse scoring each season pls helpppppppppppppppp
Answer:
3.5
Step-by-step Explanation:
To find the IQR of the given data in the dot plot shown in the attachment below, follow the steps below:
==>Step 1: write out each data point represented on the dot plot in an ordered manner. A dot represents each value of number of goals scored by Luis each season.
Thus, we would have:
43 (1 dot)
44, 44, 44 (3 dots)
45, 45(2 dots)
47 (1 dot)
48, 48 (2 dots)
Our data set from the least to the highest is: 43, 44, 44, 44, 45, 45, 47, 48, 48
==>Step 2: Find the median
Our median value is the middle value of our data set. Thus:
43, 44, 44, 44, | 45, | 45, 47, 48, 48
Our median would be 45.
==>Step 3: Find the upper and lower median (Q3 & Q1):
Our upper median (Q3) would be the middle value of the upper portion of our data set, while our lower median would be the middle value portion of our data set.
Upper portion of our data set are the values we have from our median point upwards towards our right, while the lower portion are values downwards to our left. Thus, our upper and lower median values are shown below which would be the mean of the 2 middle values shown in the brackets below:
43, (44, 44,) 44, | 45, | 45, (47, 48,) 48
Upper median (Q3) = (47+48) ÷ 2 = 47.5
Lower median (Q1) = (44+44) ÷ 2 = 44
==>Step 4: Subtract the lower median from the upper median to get the IQR.
IQR = Upper median (Q3) - Lower median (Q1)
IQR = 47.5 - 44
IQR = 3.5
Answer:
3.5
Step-by-step Explanation:
To find the IQR of the given data in the dot plot shown in the attachment below, follow the steps below:
==>Step 1: write out each data point represented on the dot plot in an ordered manner. A dot represents each value of number of goals scored by Luis each season.
Thus, we would have:
43 (1 dot)
44, 44, 44 (3 dots)
45, 45(2 dots)
47 (1 dot)
48, 48 (2 dots)
Our data set from the least to the highest is: 43, 44, 44, 44, 45, 45, 47, 48, 48
==>Step 2: Find the median
Our median value is the middle value of our data set. Thus:
43, 44, 44, 44, | 45, | 45, 47, 48, 48
Our median would be 45.
==>Step 3: Find the upper and lower median (Q3 & Q1):
Our upper median (Q3) would be the middle value of the upper portion of our data set, while our lower median would be the middle value portion of our data set.
Upper portion of our data set are the values we have from our median point upwards towards our right, while the lower portion are values downwards to our left. Thus, our upper and lower median values are shown below which would be the mean of the 2 middle values shown in the brackets below:
43, (44, 44,) 44, | 45, | 45, (47, 48,) 48
Upper median (Q3) = (47+48) ÷ 2 = 47.5
Lower median (Q1) = (44+44) ÷ 2 = 44
==>Step 4: Subtract the lower median from the upper median to get the IQR.
IQR = Upper median (Q3) - Lower median (Q1)
IQR = 47.5 - 44
IQR = 3.5
What is the product -3 1/3of -8 7/10 and ?
Answer:
Brainliest!!!
Step-by-step explanation:
See picture!!
Answer:
29
Step-by-step explanation:
what is the value of y
Answer:
y=54 degrees
Step-by-step explanation:
2y+72=180
2y=108
y=54
Answer:
B
Step-by-step explanation:
72 + y + y = 180
72 + 2y = 180
2y = 108
2y/2 = 108/2
y = 54
Hope this helps ^-^
help please with the graph questions
the ball is at the highest point 2 second after it has been thrown. True or false?
Around 2.5 seconds after the ball is thrown, it carries on going. Up or Down?
Answer:
1. True.
2. Down.
Step-by-step explanation:
1. True. The ball is at its highest point between 1.5 seconds and 2 seconds after it has been thrown. So we round off the time to nearest second to get 2 seconds.
So the ball is at the highest point 2 seconds after it has been thrown.
2.Down. Around 2.5 seconds after the ball is thrown, it carries on going down since the height is decreasing as the time moves on.
Mr. Taylor filled out a bracket for the NCAA National Tournament. Based on his knowledge of college basketball, he has a 0.54 probability of guessing any one game correctly. (a) What is the probability Mr. Taylor will pick all 32 of the first round games correctly
Answer:
The probability is [tex]2.7327 \times 10^{-9}[/tex]
Step-by-step explanation:
The probability of guessing correctly, P = 0.54
Probability of not guessing correctly, q = 1 – P
q = 1 – 0.54 = 0.46
Number of trials, n = 32
Now calculate the probability that Mr. Taylor will pick 32 correctly in first round of the game.
Below is the calculation using binomial distribution.
[tex]Probability = \left ( _{k}^{n}\textrm{} \right )P^{k}(1-P)^{(n-k)} \\= \left ( _{32}^{32}\textrm{} \right )0.54^{32}(0.46)^{(32-32)} \\= 0.54^{32} \\= 2.7327 \times 10^{-9}[/tex]
In a packet of stickers there are small stars, big stars, small rockets, and big rockets. Kevin is going to choose one of these stickers from the packet at random to put on his artwork. What is the probability that the sticker Kevin chooses is big or is a rocket
Answer:
3/4 or 0.75
Step-by-step explanation:
You have four options available
Lets say P(A) is pick a rocket
P(A) = 2/4 because there are two rockets in the four choices
simplify it to 1/2
P(B) pick a big = 2/4 because there are two bigs and two smalls.
simplify it to 1/2
P(A ∩ B) = Pick a big rocket = 1/4
P(AUB) = P(A)+P(B)- P(A ∩ B)
P(AUB) = 1/2+1/2- 1/4 = 3/4 or 0.75
The commute time for people in a city has an exponential distribution with an average of 0.66 hours. What is the probability that a randomly selected person in this city will have a commute time between 0.55 and 1.1 hours? Answer: (round to 3 decimal places)
Answer:
[tex] P(0.55 <X<1.1)= F(1.1) -F(0.55) [/tex]
And replacing we got:
[tex] P(0.55 <X<1.1)= (1-e^{-\frac{1}{0.66} *1.1}) -(1-e^{-\frac{1}{0.66} *0.55})[/tex]
[tex] P(0.55 <X<1.1)=e^{-\frac{1}{0.66} *0.55}- e^{-\frac{1}{0.66} *1.1}=0.2457[/tex]
And rounded the answer would be 0.246
Step-by-step explanation:
For this case we can define the random variable X as "The commute time for people in a city" and for this case the distribution of X is given by:
[tex] X \sim exp (\lambda = \frac{1}{0.66}= 1.515)[/tex]
And for this case we want to find the following probability:
[tex] P(0.55 <X<1.1)[/tex]
And we can use the cumulative distribution function given by:
[tex] F(x) =1- e^{-\lambda x}[/tex]
And using this formula we got:
[tex] P(0.55 <X<1.1)= F(1.1) -F(0.55) [/tex]
And replacing we got:
[tex] P(0.55 <X<1.1)= (1-e^{-\frac{1}{0.66} *1.1}) -(1-e^{-\frac{1}{0.66} *0.55})[/tex]
[tex] P(0.55 <X<1.1)=e^{-\frac{1}{0.66} *0.55}- e^{-\frac{1}{0.66} *1.1}=0.2457[/tex]
And rounded the answer would be 0.246
if the vertex of a parabola is negative for 6 and the other point of the curve is (-3,14) what is the coefficient of the squared expression in Parabola equation?
A. 6
B. 4
C. 8
D. 2
Answer:
coefficient of the square is a.6
What is the product of the expressions? Assume y does not equal 0.
Answer:
The correct answer would be option 4
12x+20
5y3
Hope that helps.Thank you!!!
Which part of Earth belongs to the geosphere?
air
plants
minerals
water
Help plz
Answer: Minerals
Step-by-step explanation:
The Mineral belongs to the geosphere option (3) Mineral is correct.
What is the geosphere?Different definitions of the geosphere have conflicting uses. It can be used to refer to the atmosphere, lithosphere, hydrosphere, and cryosphere as a whole. Different mass and/or energy flows can be exchanged between the various geosphere collectives.
We have a statement:
Which part of Earth belongs to the geosphere?
The options are:
airplantsmineralswaterAs we know, air belongs to the atmosphere.
Plants belong to the biosphere
Water belongs to the hydrosphere
Mineral belongs to the geosphere
The mineral is the part of the earth that belongs to the geosphere.
Thus, the Mineral belongs to the geosphere option (3) Mineral is correct.
Learn more about the geosphere here:
https://brainly.com/question/5137630
#SPJ5
To the nearest tenth, which is the perimeter of ABC. Geometry
Answer:
23.6
Step-by-step explanation:
Finding AC:
Cos 61 = [tex]\frac{adjacent}{hypotenuse}[/tex]
0.48 × 10 = Adjacent
AC = 4.8
Now, CB:
Cos 29 = [tex]\frac{adjacent}{hypotenuse}[/tex]
0.87 × 10 = CB
CB = 8.8
The perimeter:
=> 10+4.8+8.8
=> 23.6
Answer:
23.6
Step-by-step explanation:
If P = {positive factors of 6}, how many subsets can be obtained from set P?
Step-by-step explanation:
1,2,3,4,5,6 is a set of 6 elements; therefore it has 2⁶=64 subsets
A manufacturer of chocolate chips would like to know whether its bag filling machine works correctly at the 442 gram setting. It is believed that the machine is underfilling the bags. A 44 bag sample had a mean of 438 grams. Assume the population variance is known to be 576. A level of significance of 0.1 will be used. Find the P-value of the test statistic. You may write the P-value as a range using interval notation, or as a decimal value rounded to four decimal places.
Answer:
p value is 0.1343
Step-by-step explanation:
Null: u>= 442
Alternative: u < 442
Using the formula for z score:
(x - u)/sd/√n
Where x is 438, u = 442 sd can be determined from the variance = √variance =√576 = 24 and n = 44
z score = 438-442 / (24/√44)
z score = -4/(24/6.6332)
z = -4/3.6182
z =-1.1055
Now let's find the p value at 0.1 significance level using a z score of -1.1055, using a p value calculator, p value is 0.1343 which greatest than 0.1 meaning the day is not sufficient enough to conclude that the machine is underfilling the bags.
Find the area of circle B in term of ( pie )
Answer:
C.
Step-by-step explanation:
[tex]1.5^2\pi =2.25\pi[/tex]
Please help mehhh please!!
Answer:
It says your picture failed to load
Step-by-step explanation:
did it only happen to me or other people
Answer:
fraction: 70/100
decimal: 0.7
percent: 70%
Step-by-step explanation:
hope dis helps u! mark as brainlest if possible!
Question
The cost for materials to resurface 1 meter of road is $750. What is the cost of materials to resurface 0.25
kilometer of a road? (1 kilometer = 1,000 meters).
$187.50
$1,875.00
$18,750.00
$187,500.00
Answer:
Option D
Step-by-step explanation:
Cost for the materials to resurface 1 meter of the road is $750.
∵ 1 kilometer = 1000 meter
∴ 0.25 kilometer = 0.25 × 1000
= 250 meters
∵ Cost to resurface 1 meter of road = $750
∴ Cost to resurface 250 meter of road = 750 × 250
= 187,500
The cost of materials to resurface 0.25 kilometer of a road is $187,500.
Option D is the answer.
what polynomial has roots of -5, - 4 and 1
Answer:
[tex]\boxed{\sf \ \ \ x^3+8x^2+11x-20 \ \ \ }[/tex]
Step-by-step explanation:
hello,
(x+5)(x+4)(x-1) is one example of polynomial which has roots of -5,-4 and 1
[tex](x+5)(x+4)(x-1) = (x+5)(x^2-x+4x-4)=(x+5)(x^2+3x-4)\\= x^3+3x^2-4x+5x^2+15x-20=x^3+8x^2+11x-20[/tex]
hope this helps
What is simplified expression for the expression below
Answer:
9x +17
Step-by-step explanation:
distrubute the numbers outside of the parenthesis to the inside. You would then be left with 4x +32 + 5x -15 from there you would combine like terms leaving you with 9x + 17
The value of tangent x is given. Find sine x and cos x if x lies in the specified interval.
tan x = 21, x is an element of [0, pi / 2]
Answer:
sin x = 0.998
cosx = 0.046
Step-by-step explanation:
Given that:
tan x = 21
where interval of x is [tex][0,\dfrac{\pi}{2}][/tex].
We know that the trigonometric identity for tan x is:
[tex]tan\theta = \dfrac{Perpendicular}{Base}[/tex]
Comparing with:
[tex]tan x = \dfrac{21}{1}[/tex]
Perpendicular = 21 units
Base = 1 unit
As per pythagorean theorem:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\[/tex]
[tex]\Rightarrow \text{Hypotenuse}^2 = 21^2 +1^2\\\Rightarrow \text{Hypotenuse} = \sqrt{442} = 21.023\ units[/tex]
interval of x is [tex][0,\dfrac{\pi}{2}][/tex] so values of sinx and cosx will be positive because it is first quadrant where values of sine and cosine are positive.
We know that
[tex]sin\theta = \dfrac{Perpendicular}{Hypotenuse}\\cos\theta = \dfrac{Base}{Hypotenuse}[/tex]
So, sine x :
[tex]\Rightarrow sinx =\dfrac{21}{21.023}\\\Rightarrow sinx = 0.998[/tex]
Similarly, value of cos x :
[tex]\Rightarrow cosx =\dfrac{1}{21.023}\\\Rightarrow cosx = 0.046[/tex]
Fraud detection has become an indispensable tool for banks and credit card companies to combat fraudulent credit card transactions. A fraud detection firm has detected some form of fraudulent activities in 2%, and serious fraudulent activities in 0.75% of transactions. Assume that fraudulent transactions remain stable.
a. What is the probability that fewer than 2 out of 110 transactions are fraudulent?
b. What is the probability that fewer than 2 out of 105 transactions are seriously fraudulent?
Answer:
a) 35.17% probability that fewer than 2 out of 110 transactions are fraudulent
b) 81.35% probability that fewer than 2 out of 105 transactions are seriously fraudulent
Step-by-step explanation:
For each transaction, there are only two possible outcomes. Either they are fradulent(or seriously fraudulent), or they are not. Transactions are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
a. What is the probability that fewer than 2 out of 110 transactions are fraudulent?
2% are fraudulent, so [tex]p = 0.02[/tex]
110 transactions, so [tex]n = 110[/tex]
This is
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{110,0}.(0.02)^{0}.(0.98)^{110} = 0.1084[/tex]
[tex]P(X = 1) = C_{110,1}.(0.02)^{1}.(0.98)^{109} = 0.2433[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.1084 + 0.2433 = 0.3517[/tex]
35.17% probability that fewer than 2 out of 110 transactions are fraudulent.
b. What is the probability that fewer than 2 out of 105 transactions are seriously fraudulent?
0.75% are seriously fraudulent, so [tex]p = 0.0075[/tex]
105 transactions, so [tex]n = 105[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = 0) = C_{105,0}.(0.0075)^{0}.(0.9925)^{105} = 0.4536[/tex]
[tex]P(X = 1) = C_{105,1}.(0.0075)^{1}.(0.9925)^{104} = 0.3599[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.4536 + 0.3599 = 0.8135[/tex]
81.35% probability that fewer than 2 out of 105 transactions are seriously fraudulent
the figure below shows a parallelogram ABCD. Side AB is parallel to side DC and side AD is parallel to side BC
A student wrote the following sentences to prove that the two pairs of parallel opposite sides of parallelogram ABCD are congruent:
For triangles ABD and CBD, alternate interior angles ABD and CBD are congruent because AB and DC are parallel lines. Alternate interior angles ADB and CBD are congruent because AD and BC are parallel lines. DB is congruent to DB by ______. The triangles ABD and CDB are congruent by ASA postulate. As corresponding parts of congruent triangles are congruent, AB is congruent to DC and AD is congruent to BC by CPCTC.
Which phrase best completes the student's proof?
a. associative property
b. reflexive property
c. substation property
d. transitive property
Answer: b) reflexive property
Step-by-step explanation:
When you are stating that a line is congruent to itself, you are using the Reflexive Property.
a) Associative Property: a + (b + c) = (a + b) + c
b) Reflexive Property: AB = AB
c) Substation Property: not a real property - does not exist
d) Transitive Property: If a = b and b = c, then a = c