which of the following statements is false?
Answer:
A.
Step-by-step explanation:
It's the first one. The angles are supplementary not complementary.
Answer:
I would have to say A
Step-by-step explanation:
Consider the following sample information from Population A and Population B. Sample A Sample B n 24 16 s2 32 38 We want to test the hypothesis that the population variances are equal. The test statistic for this problem equals a. .84. b. .67. c. 1.50. d. 1.19.
Answer:
Always the numerator for the statistic needs to be higher than the denominator. And replacing we got:
[tex]F=\frac{s^2_2}{s^2_1}=\frac{38}{32}=1.19[/tex]
And the best option would be:
d. 1.19.
Step-by-step explanation:
Data given and notation
[tex]n_1 = 24 [/tex] represent the sampe size 1
[tex]n_2 =16[/tex] represent the sample size 2
[tex]s^2_1 = 32[/tex] represent the sample variance for 1
[tex]s^2_2 = 38[/tex] represent the sample variance for 2
The statistic for this case is given by:
[tex]F=\frac{s^2_1}{s^2_2}[/tex]
Hypothesis to verify
We want to test if the true deviations are equal, so the system of hypothesis are:
H0: [tex] \sigma^2_1 = \sigma^2_2[/tex]
H1: [tex] \sigma^2_1 \neq \sigma^2_2[/tex]
Always the numerator for the statistic needs to be higher than the denominator. And replacing we got:
[tex]F=\frac{s^2_2}{s^2_1}=\frac{38}{32}=1.19[/tex]
And the best option would be:
d. 1.19.
If the statement shown is rewritten as a conditional statement in if-then form, which best describes the conclusion? When a number is divisible by 9, the number is divisible by 3.
Answer:
when a number is divisible by 9, then the number is divisible by 3.
Step-by-step explanation:
They tell us "When a number is divisible by 9, the number is divisible by 3" we could change it by:
when a number is divisible by 9, then the number is divisible by 3.
Which makes sense because the number 9 is a multiple of the number 3, which means that the 9 can be divided by 3, therefore, if the number can be divided by 9, in the same way it can be divided by 3 .
Answer:
a
Step-by-step explanation:
Find the pattern and fill in the missing numbers: 1, 1, 2, 3, 5, 8, __, __, 34, 55
Answer:
13, 21
Step-by-step explanation:
Fibonacci sequence-
Each number is added to the number before it.
1+1=2
2+1=3
3+2=5
5+3=8
Answer:
The missing numbers are 13, and 21.
The pattern given is the Fibonacci Sequence, where each number is the sum of the two numbers before it, starting with 0 and 1. (i.e. 5 is 2+3)
(06.01 MC) What is the value of the expression shown below? 8 + (7 + 1) 2 ÷ 4 ⋅ (5 points) Select one: a. 7 b. 9 c. 21
Answer:
b. 9
Just use PEMDAS
A train leaves Station A traveling west at 60 miles per hour for 7 hours, and then continues to travel west on the same track for 3 hours at 55 miles per hour, where it stops at Station B. How far is Station A from Station B?
Answer: 585 miles
Step-by-step explanation: 60 x 7 for the first 7 hours = 420 miles, then 3 x 55 for the last 3 hours = 165 add them together, 420+265 you get= 585
60 miles per hour x 7 hours = 420 miles
55 miles per hour x 3 hours = 165 miles
Total miles = 420 + 165 = 585 miles
9. A line passes through (2, –1) and (8, 4). a. Write an equation for the line in point-slope form. b. Rewrite the equation in standard form using integers.
Answer:
Step-by-step explanation:
(4+1)/(8-2)= 5/6
y + 1 = 5/6(x - 2)
y + 1 = 5/6x - 5/3
y + 3/3 = 5/6x - 5/3
y = 5/6x - 8/3
6(y = 5/6x - 8/3)
6y = 5x - 16
-5x + 6y = -16
g A 5 foot tall man walks at 10 ft/s toward a street light that is 20 ft above the ground. What is the rate of change of the length of his shadow when he is 25 ft from the street light
Answer:
[tex]-\frac{10}{3}ft/s[/tex]
Step-by-step explanation:
We are given that
Height of man=5 foot
[tex]\frac{dy}{dt}=-10ft/s[/tex]
Height of street light=20ft
We have to find the rate of change of the length of his shadow when he is 25 ft form the street light.
ABE and CDE are similar triangle because all right triangles are similar.
[tex]\frac{20}{5}=\frac{x+y}{x}[/tex]
[tex]4=\frac{x+y}{x}[/tex]
[tex]4x=x+y[/tex]
[tex]4x-x=y[/tex]
[tex]3x=y[/tex]
[tex]3\frac{dx}{dt}=\frac{dy}{dt}[/tex]
[tex]\frac{dx}{dt}=\frac{1}{3}(-10)=-\frac{10}{3}ft/s=-\frac{10}{3}ft/s[/tex]
Hence, the rate of change of the length of his shadow when he is 25 ft from the street light=[tex]-\frac{10}{3}ft/s[/tex]
11.Which word or words best complete the sentence? Two lines that lie in parallel planes _____ intersect. Sometimes Always Never
Answer:
never intersect
Step-by-step explanation
parallel lines do not intersect and neither do parallel planes
I NEED HELP PLEASE, THANKS! :)
Find the angle θ between u = <7, –2> and v = <–1, 2>.
47.5°
42.5°
132.5°
137.5°
Answer:
Step-by-step explanation:
Cos θ = u*v
IuI *IvI
u * v = 7*(-1) + (-2)*2
= -7 - 4
= -11
IuI = [tex]\sqrt{7^{2}+(-2)^{2}}\\[/tex]
= [tex]\sqrt{49+4}\\\\[/tex]
= [tex]\sqrt{53}[/tex]
I vI = [tex]\sqrt{(-1)^{2}+2^{2}}\\[/tex]
= [tex]\sqrt{1+4}\\\\[/tex]
= [tex]\sqrt{5}\\[/tex]
Cos θ = [tex]\frac{-11}{\sqrt{53}*\sqrt{5} } \\\\[/tex]
= [tex]\frac{-11}{16.28}\\\\[/tex]
Cos θ = -0.68
θ = 132.5°
if 2 X degree is the exterior angle of triangle and x degree and 45 degree are opposite interior angle find the value of x degree
Answer:
x = 45 degrees
Step-by-step explanation:
The measure of exterior angles is equal to the sum of non-adjacent interior angles
=> 2x = x+45
=> 2x-x = 45
=> x = 45 degrees
Answer:
45 degrees.
Step-by-step explanation:
The exterior angle = sum of the 2 opposite interior angles.
2x = x + 45
2x - x = 45
x = 45.
What is the volume of this aquarium?
Answer:
9,000 inches^3
Step-by-step explanation:
The first part is 20 x 20 x 20, which equals 8,000
The second part is 10 x 10 x 10, which is 1,000
1,000 + 8,000 = 9,000
Tony used a photocopier to dilate the design for a monorail track system. The figure below shows the design and its photocopy
A
10 m
B
F
E
8 m
D
D
С
G
Design
Photocopy
The ratio of CD:GH is 2:3. What is the length, in meters, of side EH on the photocopied image? (5 points)
Answer:
12 m
Step-by-step explanation:
Given that the design, ABCD, was dilated to get a photocopy, EFGH, a scale factor or ratio was multiplied by the original lengths of the design to get the new measurement of the photocopy.
Thus, we are given the ratio, CD:GH = 2:3.
This means, any of the corresponding lengths of both figures would be in that same ratio.
Using the ratio of the design to the photocopy, 2:3, we can find the length of side EH of the photocopy.
The corresponding side of EH in the design is AD = 8m. Thus, AD to EH = ⅔
[tex] \frac{AD}{EH} = \frac{2}{3} [/tex]
[tex] \frac{8}{EH} = \frac{2}{3} [/tex]
Cross multiply
[tex] 3*8 = 2*EH [/tex]
[tex] 24 = 2*EH [/tex]
Divide both sides by 2 to make EH the subject of formula
[tex] \frac{24}{2} = \frac{2*EH}{2} [/tex]
[tex] 12 = EH [/tex]
The length of side EH = 12 m
of the following fractions which is 50% greater than 3/7
Answer:
9/14
Step-by-step explanation:
3/7 + 50%×3/7 =
= 3/7 + 1/2×3/7
= 3/7 + 3/14
= 6/14 + 3/14
= 9/14
The required fraction which 50% grater than 3/7 is 9/14.
Fraction to determine that 50% grater than 3/7.
Fraction of the values is number represent in form of Numerator and denominator.
Here, fraction = 50% grater than 3/7
= 1.5 x 3/7
= 4.5/7
= 45/70
= 9/14
Thus, The required fraction which 50% grater than 3/7 is 9/14.
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11. If 4 < x < 14, what is the range for -x - 4?
Answer:
-18 < -x-4 < -8
Step-by-step explanation:
We start with the initial range as:
4 < x < 14
we multiplicate the inequation by -1, as:
-4 > -x > -14
if we multiply by a negative number, we need to change the symbols < to >.
Then, we sum the number -4, as:
-4-4> -x-4 > -14-4
-8 > -x-4 > -18
Finally, the range for -x-4 is:
-18 < -x-4 < -8
Find f o g and g o f to determine if f and g are inverse functions. If they are not inverses, pick the function that would be the inverse with f(x). f(x) = (-2/x) – 1; g(x) = -2/(x+1)
Choices:
a. g(x) has to be: (1+x)/2
b. g(x) has to be: x/2
c. g(x) has to be: 2 – (1/x)
d. Inverses
Answer:
Step-by-step explanation:
Hello,
[tex]x = (fof^{-1})(x)=f(f^{-1}(x))=\dfrac{-2}{f^{-1}(x)}-1\\\\<=>f^{-1}(x)(x+1)=-2\\\\<=> f^{-1}(x)=\dfrac{-2}{x+1}[/tex]
and this is g(x)
so they are inverses
Hope this helps
15. Over what range of angles does the value of sin(O) consistently increase?
A. 45° to 135°
B. 90° to 180°
C. 0° to 180°
D. 0° to 90°
Answer:
D. 0° to 90°
Step-by-step explanation:
If we see curve of sin(o) on coordinate, we will notice that value of sin curve increases from 0 to 90 degrees and then decreases from 90 to 180 degrees.
Hence option D is correct.
Alternatively
we see that
sin 0 = 0
sin 30 = 1/2
sin 45 = 1/[tex]\sqrt{2}[/tex]
sin 60 = [tex]\sqrt{3} /2[/tex]
sin 90 = 1
Thus, we see that value of sin is increasing from 0 to 90
now lets see value of sin from 90 to 180
sin 90 = 1
sin 120 = [tex]\sqrt{3} /2[/tex]
sin 135 = 1/[tex]\sqrt{2}[/tex]
sin 150 = 1/2
sin 180 = 0
Thus, we see that value of sin is decreasing from 90 to 180.
Find the lateral surface area, base area of a cylinder with radius 5 cm and height 16 cm
Answer:
Lateral surface area is
≈
502.65cm²
Base area is
=
πr^2
SNOG PLEASE HELP! (x-1)(y+8)
Answer:
xy + 8x - y - 8
Step-by-step explanation:
We can use the FOIL method to expand these two binomials. FOIL stands for First, Outer, Inner, Last.
F: The First means that we multiply the first terms of each binomial together. In this case, that would be x · y = xy.
O: The Outer means that we multiply the outer terms, or the first term of the first binomial and the second term of the last binomial, together. In this case, that would be x · 8 = 8x.
I: The Inner means that we multiply the inner terms, or the second term of the first binomial and the first term of the second binomial, together. In this case, that would be (-1) · y = -y.
L: The Last means that we multiply the last terms of each binomial together. In this case, that would be (-1) · 8 = -8.
Adding all of these together, we get xy + 8x - y - 8 as our final answer.
Hope this helps!
Answer:
[tex]xy+8x-y-8[/tex]
Step-by-step explanation:
=> (x-1)(y+8)
Using FOIL
=> [tex]xy+8x-y-8[/tex]
The sports bar owner runs a regression to test whether there is a relationship between Red Sox away games and daily revenue. Which of the following statements about the regression output is true?A. The average daily revenue for days when the Red Sox do not play away is $1,768.32.B. The average daily revenue for days when the Red Sox play away is $1,768.32.C. The average daily revenue for days when the Red Sox play away is $2,264.57.D. The average daily revenue for days when the Red Sox do not play away is $1,272.07.E. On average, the bar’s revenue is $496.25 higher on days when the Red Sox play away than on days when they do not.
SUMMARY OUTPUT
Regression Statistics
Multiple R 0.4746
R Square 0.2252
Adusted R square 0.2091
Standard Error 466.32
Observations 50
ANOVA
Significance F MS df 0.0005 13.95 3.03E 06 3.03E+06 Regression 1.04E+07 2.17E+05 48 Residual 135E+07 49 Total Lower 95% Upper 95% tStot Standard Error P-vatue Coefficients 1968.21 17.79 1,568.42 99 42 0.0000 1768.32 Intercept Red Sox away game 763.38 00005 3.74 229.13 132.85 (1-yes, 0-no) 496.25 The average daily revenue for days when the Red Sox do not play away is $1,768.32
Answer:
Options A, C and D are true.
- The average daily revenue for days when the Red Sox do not play away is $1,768.32.
- The average daily revenue for days when the Red Sox play away is $2,264.57.
- On average, the bar’s revenue is $496.25 higher on days when the Red Sox play away than on days when they do not.
Step-by-step explanation:
The complete Question is presented in the attached image to this solution.
Analyzing the options at a time
A) The average daily revenue for days when the Red Sox do not play away is $1,768.32.
This option is true as 1768.32 is the intercept which is the average daily revenue when the Red Sox=0, that is, 0=no, when red sox do not play away.
B) The average daily revenue for days when the Red Sox play away is $1,768.32.
This is false because when the Red Sox play away, the value is 1 and the average revenue = 1768.32 + 496.25 = $2,264.57
C) The average daily revenue for days when the Red Sox play away is $2,264.57.
This is true. I just gave the explanation under option B.
D) The average daily revenue for days when the Red Sox do not play away is $1,272.07.
This is false. The explanation is under option A.
E) On average, the bar’s revenue is $496.25 higher on days when the Red Sox play away than on days when they do not.
This is true. It is evident from the table that the 0 and 1 coefficient is 496.25. This expresses the difference in average daily revenue when the Red Sox games are played away and when they are not.
Hope this Helps!!!
The first card selected from a standard 52-card deck was a king. If it is returned to the deck, what is the probability that a king will be drawn on the second selection
Answer:
[tex]\frac{1}{13}[/tex]
Step-by-step explanation:
The probability P(A) that an event A will occur is given by;
P(A) = [tex]\frac{number-of-possible-outcomes-of-event-A}{total-number-of-sample-space}[/tex]
From the question,
=>The event A is selecting a king the second time from a 52-card deck.
=> In the card deck, there are 4 king cards. After the first selection which was a king, the king was returned. This makes the number of king cards return back to 4. Therefore,
number-of-possible-outcomes-of-event-A = 4
=> Since there are 52 cards in total,
total-number-of-sample-space = 52
Substitute these values into equation above;
P(Selecting a king the second time) = [tex]\frac{4}{52}[/tex] = [tex]\frac{1}{13}[/tex]
We are standing on the top of a 320 foot tall building and launch a small object upward. The object's vertical altitude, measured in feet, after t seconds is h ( t ) = − 16 t 2 + 128 t + 320 . What is the highest altitude that the object reaches?
Answer:
The highest altitude that the object reaches is 576 feet.
Step-by-step explanation:
The maximum altitude reached by the object can be found by using the first and second derivatives of the given function. (First and Second Derivative Tests). Let be [tex]h(t) = -16\cdot t^{2} + 128\cdot t + 320[/tex], the first and second derivatives are, respectively:
First Derivative
[tex]h'(t) = -32\cdot t +128[/tex]
Second Derivative
[tex]h''(t) = -32[/tex]
Then, the First and Second Derivative Test can be performed as follows. Let equalize the first derivative to zero and solve the resultant expression:
[tex]-32\cdot t +128 = 0[/tex]
[tex]t = \frac{128}{32}\,s[/tex]
[tex]t = 4\,s[/tex] (Critical value)
The second derivative of the second-order polynomial presented above is a constant function and a negative number, which means that critical values leads to an absolute maximum, that is, the highest altitude reached by the object. Then, let is evaluate the function at the critical value:
[tex]h(4\,s) = -16\cdot (4\,s)^{2}+128\cdot (4\,s) +320[/tex]
[tex]h(4\,s) = 576\,ft[/tex]
The highest altitude that the object reaches is 576 feet.
Please answer this correctly
Answer:
3/20s
Step-by-step explanation:
Factor: 3d + 6d + 3.
Hey there! :)
Answer:
3(d + 1)²
Step-by-step explanation:
Given 3d² + 6d + 3:
Begin by factoring out '3' from each term:
3(d² + 2d + 1)
Factor terms inside of the parenthesis:
3(d + 1)(d + 1) or 3(d + 1)².
A 12 sided die is rolled the set of equally likely outcomes is 123 456-789-10 11 and 12 find the probability of rolling a number greater than three
Answer:
6
Step-by-step explanation:
nerd physics
A normally distributed data set with a mean of 35 and a standard deviation of 5 is represented by the normal curve. What is the z–score corresponding to 45?
Answer:
The z–score corresponding to 45 is z=2.
Step-by-step explanation:
We have a random variable X represented by a normal distribution, with mean 35 and standard deviation 5.
The z-score represents the value X relative to the standard normal distribution. This allows us to calculate probabilities for any given normal distribution with the same table.
The z-score for X=45 can be calculated as:
[tex]z=\dfrac{X-\mu}{\sigma}=\dfrac{45-35}{5}=\dfrac{10}{5}=2[/tex]
The z–score corresponding to 45 is z=2.
Misty surgery lasted 2 1/4 hours. Convert the time to seconds
======================================================
Work Shown:
1 hour = 60 minutes
2 hours = 120 minutes (multiply both sides by 2)
1/4 hour = 15 minutes (divide both sides of the first equation by 4)
2 & 1/4 hours = 2 hours + 1/4 hour
2 & 1/4 hours = 120 minutes + 15 minutes
2 & 1/4 hours = 135 minutes
---------------------
1 minute = 60 seconds
135 minutes = 8100 seconds (multiply both sides by 135)
2 & 1/4 hours = 8100 seconds
Which are not changed after a rotation? Check all that apply. angle measures orientation size shape position of center of rotation
Answer:
1 3 4 5
Step-by-step explanation:
The rotation does not change the angle measure, the side lengths and the shape of the shape that is being rotated.
What is an angle?
An angle measure the size, the shape, and the position of center of rotation do not change after rotation.
Which are not changed after rotation?
If one thing is rotated then it will not change the angle measures, the side lengths and shape of the body. The rotation does not change the center of object.
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1. What is a residual?
A. A residual is a value of y -y, which is the difference between an observed value of y and a predicted value of y.
B. A residual is a point that has a strong effect on the regression equation.
C. A residual is a value that is determined exactly, without any error.
D. A residual is the amount that one variable changes when the other variable changes by exactly one unit.
2. In what sense is the regression line the straight line that "best" fits the points in a scatterplot?
The regression line has the property that the______of the residuals is the V possible sum.
Answer:
1. what is a residual?
A. A residual is a value of y -y, which is the difference between an observed value of y and a predicted value of y.
2. The regression line has the property that the_sum of squares_of the residuals is the minimum possible sum.
Step-by-step explanation:
1. What is a residual?
A. A residual is a value of y -y, which is the difference between an observed value of y and a predicted value of y.
2. In what sense is the regression line the straight line that "best" fits the points in a scatterplot?
The regression line has the property that the_sum of squares_of the residuals is the minimum possible sum.
A residual is a value {Δy} that is a difference between an observed value of {y} and a predicted value of {y}.
What is regression line?A regression line is an estimate of the line that describes the true, but unknown, linear relationship between the two variables. Mathematically -
[tex]$Y_i=f(X_i, \beta)+e_i[/tex]
Given is residual.
The residual for each observation is the difference between predicted values of y (dependent variable) and observed values of y. Mathematically -
[tex]r = x-x_{0}[/tex]
Therefore, a residual is a value {Δy} that is a difference between an observed value of {y} and a predicted value of {y}.
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College students spend $183 more each year on textbooks and course materials than on computer equipment. They spend a total of $819 on textbook and course materials and equipment each year. How much is spent each year on textbooks and course materials and computer equipment?
Answer:
Textbooks: $506Course Materials and Electronics: $323Step-by-step explanation:
First, we need to divide the amount into 2 equal parts:
$819/2 = $414.50
Now, because they spent $183 more on textbooks, we add half of that to $414.50.
$414.50 + $91.50 = $506
$414.50 - $91.50 = $323
To make sure that the amount spent on textbooks is $183 more than the amount spent on course materials and computers, we need to add $183 to $323. If we get $506, our answer is correct.
$323 + $183 = $506 ✅
Textbooks: $506Course Materials and Electronics: $323I'm always happy to help