Answers
Answer:
see below
Step-by-step explanation:
It can be useful to remember that the angle θ of rotation between the x-y plane and the x'-y' plane is given by ...
cot(2θ) = (A -C)/B
where the standard form equation is ...
Ax² +Bxy +Cy² +Dx +Ey +F = 0
For a 30° rotation, you want ...
(A -C)/B = cot(2·30°) = 1/√3
Looking at the answer choices, you have ...
A: (A -C)/B = (3 -(-39))/(42√3) = 1/√3 . . . as required
B: (A -C)/B = (3 -(-39))/(-12√3) = 7/(2√3)
C: (A -C)/B = (-39 -3)/(42√3) = -1/√3
D: AC > 0, not a hyperbola
_____
Based on rotation angle only, the appropriate choice is the first choice. Because the term signs in the x'-y' formula are different, the figure is a hyperbola. In general form, the equation describes a hyperbola when AC<0.
Answer:
the first answer choice is correct!
Step-by-step explanation:
took the test amd got it correct:)) hope this helps:)) have a good day:))
Related Questions
A random sample of 10 employees for the Department of Health and Human Services has the following salaries in thousands of dollars. Assuming normality, use a TI-83, TI-83 plus, or TI-84 calculator to find the 98% confidence interval for the true population mean salary. Round your answers to two decimal places and use increasing order. Salary
72
71
66
71
69
71
72
69
70
71
Answers
Answer:
(68.58,71.82)
Step-by-step explanation:
How would I Evaluate 8×5÷10?
Answers
Answer:
4
Step-by-step explanation:
8×5÷10
PEMDAS says multiply and divide from left to right
40÷10
4
Answer:
4
Step-by-step explanation:
Follow the PEMDAS order of operations
8*5=40
40÷10=4
=4
OR
8x5÷10
8x0.5=4
=4
Have a good day and stay safe!
Use the slider to change the value of b. Which statement is true? If the value of b is increased from 0, the graph moves up. If the value of b is increased from 0, the graph gets less steep. If the value of b is decreased from 0, the graph moves up. If the value of b is decreased from 0, the graph gets steeper.
Answers
Answer:
A. if the value of b is increased from 0, the graph moves up.
Step-by-step explanation:
got it right on edge 2021
Answer:
its a guys!
Step-by-step explanation:
there are 11 people in an office with 6 different phone lines. if all the lines begin to ring at once, how many groups of 6 people can answer these lines?
Answers
T_11
Expect_6 phones
This is a permutation problem
Therefore 11p6= 11!/(11-6)! = (5!*6*7*8*9*10*11)/5! = 6*7*8*9*10*11 (ANSWER)
Answer:
one group
Step-by-step explanation:
there is only one group of six people in the office since the office only has 11 people.
A six sided fair number cube is 100 times as part of an experiment The frequency of the role of the Number three is 20 which statement about rolling a three is correct
Answers
Answer:
8
Step-by-step explanation:
don't cheat sike i cheat
Answer: the real answer is c you can go to both places I gave you the answer in both
Step-by-step explanation:
Because I got it right please have a good day or night
For data sets having a distribution that is approximately bell-shaped, _______ states that about 68% of all data values fall within one standard deviation from the mean.
Answers
Answer:
The Empirical Rule
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
So the answer to this question is the Empirical Rule
Please answer this correctly without making mistakes
Answers
Answer:
<
Step-by-step explanation:
750,000,000 times 10^5 can be expressed as 7.5 times [tex]10^{11}[/tex]
7.55 times 10^13 is greater than 7.5 times 10^11.
Answer:
The appropriate sign that makes the statement true is <
Hope this helps you
A parallelogram has the vertices W(-4, 2), X(2, 2), Y(3, -1), and Z(-3, -1). What are the coordinates of the endpoints of side WX?
Answers
Answer:
W(-4, 2) and X(2, 2)
Step-by-step explanation:
The vertices of the parallelogram are:W(-4, 2), X(2, 2), Y(3, -1), and Z(-3, -1).
The side WX is the segment that starts at W and ends at X.
Therefore, the coordinates of the endpoints of side WX are W(-4, 2) and X(2, 2) respectively.
Solving by factoring
Answers
Answer:
3
Step-by-step explanation:
if f(x)=3x+2, what is f(5)
Answers
Answer:
f(5) = 17
Step-by-step explanation:
Pretty easy :)
just pluggin f(5).
f(5) = 3(5) + 2
f(5) = 15+2
f(5) = 17.
:)
f(5) = 3(5) + 2
= 15 + 2
= 17
A club has 20 women and 17 men and needs to form a committee of six members. How many committees are possible if the committee must have at least two men?
Answers
Answer:
2,022,456 committees
Step-by-step explanation:
From the above question, we are given the following information:
Number of women = 20
Number of men = 17
In order to form a committee of six members with at least 2 men, the number of ways we can do this is 5 ways and they are:
a) A committee of 6 men
b) A committee of 5 men and 1 woman
c) A committee of 4 men and 2 women
d) A committee of 3 men and 3 women
e) A committee of 2 men and 4 women
To solve for this we use the combination formula which is given as:
C(n, r) = nCr = n!/r!(n - r)!
Hence, the number of committees that are possible if the committee must have at least two men is calculated as
A committee of 6 men or A committee of 5 men and 1 woman or A committee of 4 men and 2 women or A committee of 3 men and 3 women or A committee of 2 men and 4 women
=[C(17, 6)]+ [C(17,5) × C(20,1)] + [C(17,4) × C(20,2)] + [C(17,3) × C(20,3)] + [C(17,2) × C(20,4)]
= [17!/6!(17 - 6)!] + [17!/5!(17 - 5)! × 20!/1!(20 - 1)!] + [17!/4!(17 - 4)! × 20!/2!(20 - 2)!] + [17!/3!(17 - 3)! × 20!/3!(20 - 3)!] + [17!/2!(17 - 2)! × 20!/4!(20 - 4)!]
= [12376] + [ 6188 × 20] + [2380 × 190] + [680 × 1140] + [ 136 ×4845]
= 2,022,456 committees
if 15/3 greater than 7, then 15/7 is less than 3 true or false
Answers
Answer:
True
Step-by-step explanation:
15/7 is about 2.14 which is less than 3
QUESTION 4
The expected value can be used to calculate the overall grade for a course by using the
earned value for each grade category and its category weighted probability. Calculate the
overall grade given the following grade data:
Grade Category
Earned Value
Weighted Probability
Homework
95
20%
Quiz
80
20%
Test
75
45%
Project
90
15%
Enter your answer as a numeric. For example, if your answer is 78.23%, enter 73.23.
Answers
Answer:
82.25%
Step-by-step explanation:
95*0.2 + 80*0.2 + 75*0.45 + 90*0.15 = 82.25%
A local animal rescue organization receives an average of 0.55 rescue calls per hour. Use the Poisson distribution to find the probability that during a randomly selected hour, the organization will receive fewer than two calls.A) 0.087
B) 0.894
C) 0.317
D) 0.106
Answers
Answer:
B) 0.894
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
A local animal rescue organization receives an average of 0.55 rescue calls per hour.
This means that [tex]\mu = 0.55[/tex]
Probability that during a randomly selected hour, the organization will receive fewer than two calls.
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-0.55}*(0.55)^{0}}{(0)!} = 0.577[/tex]
[tex]P(X = 1) = \frac{e^{-0.55}*(0.55)^{1}}{(1)!} = 0.317[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.577 + 0.317 = 0.894[/tex]
. Roger uses his truck to plow parking lots when it snows. He wants to find a model to predict the number of service calls he can expect to receive based on how much snow falls during a storm. Snow Plow Service Based on the collected data shown in the scatterplot, he uses the linear model . According to this model, c(s)=0.8s+0.29about how many service calls will Roger have in the next snow storm if 4.7 inches of snow fall? Round to the nearest tenth if necessary
Answers
Answer:
4.1 calls
Step-by-step explanation:
The number of calls (c) that Roger expects to get as a function of how many inches of snow fall (s), is described by the following linear model:
[tex]c(s)=0.8s+0.29[/tex]
Therefore, when s = 4.7 inches, the number of service calls that Roger expects is:
[tex]c(4.7)=0.8*4.7+0.29\\c(4.7)=4.05\ calls[/tex]
Rounding to the nearest tenth, Roger will get about 4.1 calls.
Please answer this correctly
Answers
Answer:
100%
Step-by-step explanation:
First, let's determine the probability for each of the conditions.
For P(greater than 2), we will have the cards 3, 4, 5, 6, 7, and 8.
For P(less than 3), we will have the cars 2.
In other words, every single card fits the conditions.
Thus, P(greater than 2 or less than 3)=7/7=100%
100%
Answer:
100%
Step-by-step explanation:
Greater than 2 is 3, 4, 5, 6, 7, 8
And less than 3 is 2 so that’s all the numbers which is 100%
A sludge pool is filled by two inlet pipes. One pipe can fill the pool in 11 days and the other pipe can fill it in 22 days. However, if no sewage is added, waste removal will empty the pool in 37 days. How long will it take the two inlet pipes to fill an empty pool? ___________ days
Answers
Answer:
i-09 vhcgcdg hdc
Step-by-step explanation:
What is the equation of the line which passes through (-0.5,-5) and (2,5)
Answers
Answer:
[tex]y = 4x-3[/tex]
Step-by-step explanation:
The coordinates are (-0.5,-5) and (2,5)
Finding the slope, m:
=> Slope = [tex]\frac{rise}{run}[/tex]
=> Slope = [tex]\frac{5+5}{2+0.5}[/tex]
=> Slope = [tex]\frac{10}{2.5}[/tex]
=> Slope = 4
Now, y-intercept, b:
Taking any of the two coordinate and putting it in the slope intercept equation:
=> Point = (x,y) = (2,5)
So, x = 2, y = 5
=> [tex]y = mx+b[/tex]
=> 5 = (4)(2) + b
=> 5 = 8 + b
=> b = 5-8
=> b = -3
Now, Putting in slope intercept equation:
=> [tex]y = mx+b[/tex]
=> [tex]y = 4x-3[/tex]
Gradient (m) = x2-x1
y2-y1
considering
y1 = -5 y2 = 5
x1 = -0.5. x2 = 2
m = 2-(-0.5)
5-(-5)
m = 5.5
10
m = 11. = 0.55
20
equation of a line is given by
y-y1 = m+(x-x1)
y-(-5) =0.55 + {x-(-0.5)}
y+5 = 0.55 + x+0.5
making y the subject
y = 0.55 +0.5 -5 + x
y = -3.95 + x
QUESTION 10
1 POINT
Karen wants to estimate the mean number of siblings for each student in her school. She records the number of siblings for
each of 200 randomly selected students in the school. What is the sample?
Select the correct answer below:
O the 200 randomly selected students
the specific number of siblings for each randomly selected student
O all the students in the school
the mean number of siblings for the randomly selected students
O the mean number of siblings for all students in the school
B FEEDBACK
Content attribution
Answers
The correct answer is A. The 200 randomly selected students
Explanation:
In most studies, the complete population is not surveyed or studied instead, a specific number of individuals are selected, this group is known as the sample. Additionally, the sample represents the population, and due to this, their answers are used to make inferences about all the population.
According to this, the population is all the students in the school, while the sample is the 200 randomly selected students because this is the group that is going to be studied to make conclusions and inferences about all the population.
Answer:
(a)
Step-by-step explanation:
Sum of two numbers is 20 their difference is 118
Answers
Answer:
y = -49 x = 69
Step-by-step explanation:
make an equation
x+y=20 and x-y=118
then you can solve by elimination
x+y=20
x-y=118
=2x=138
x=69
69-y=118
-y=49
y=-49
find the unit rate? 1 1/2 miles in 3/4 hour
Answers
Answer:
2 miles per hour
Step-by-step explanation:
We want to take the miles and divide by the hours
1 1/2 ÷ 3/4
Changing to an improper fraction
3/2÷3/4
Copy dot flip
3/2 * 4/3
3/3 * 4/2
2
2 miles per hour
Which of the following statements best describes the transverse axis of a
hyperbola?
Please answer quickly! 12 points and will give brainliest answer!
Answers
Answer:
The transverse axis of a hyperbola equals the difference between the distances from any point on the hyperbola to each focus. Which is expressed in answer "C" in your list of possible answers.
Step-by-step explanation:
In fact, the definition of hyperbola is that of all point on the plane whose difference between their distance to each focus is a constant.
That constant can be determined in particular when one considers the distance to the actual vertex of the hyperbola (which is on the transverse axis) and whose distance to one of the focii is equal to the transverse axis plus the distance from the vertex to the focus, and from which needs to be subtracted the distance from the vertex to the focus, resulting then in exactly the transverse axis.
Answer:
C is right
I took the test
What is the solution to the equation -3(h+5) + 2 = 4(h+6)-9?
n = 4
n=-2
n=2
n=4
Answers
-3(h+5) + 2 = 4(h+6) -9
-3h-5 + 2 = 4h+24 -9
-3h-4h = 24-9+5-2
-7h = 18
h = -18 = -2.57
7
In geometry the set of all points is called ---- ?
Answers
Answer:
it may be locus. because is a set of point and line is formed the locus of points.
In geometry, the set of all points is called space.
What are collinear points?In Mathematics and Geometry, collinear points can be defined as three or more points that all lie on the same straight line (single line). This ultimately implies that, two (2) planes intersect at a line.
For example, we can infer and logically conclude that a sphere would have all points in space that are 4 units from a point.
Generally speaking, the set of all points is referred to as a space in geometry.
Read more on collinear points here: brainly.com/question/24391959
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What is true about the functional relationship shown in the graph?
Answers
Answer:
A
Step-by-step explanation:
Drag each equation to the correct location on the table.
• Solve the equations for the given variable. Then place the equations in the table under the correct solution.
x = 3
x≠ 3
Answers
Step-by-step explanation:
1) x - 5 = - 2
x = - 2 + 5
x = 3
2) - 6 + x = - 9
x = - 9 + 6
x = - 3.
3) x/4 = 6/8
Cross multiply
8x = 24
x = 24/8 = 3
4) - 14x = - 42
x = - 42/-14
x = 3
5) - 3/5 + x = 12/5
x = 12/5 + 3/5
x = 15/5 = 3
6) x/3 = 9
x / 3 - 9
x - 3
x = 3
The solution is shown below:
What is equation?A statement of equality between two expressions consisting of variables and/or numbers
x=3 x≠3
1) x - 5 = - 2 2) - 6 + x = - 9
x = - 2 + 5 x = - 9 + 6
x = 3 x = - 3.
3) x/4 = 6/8 6) x/3 = 9
x = 24 x = 27
x = 24/8
x = 3
4) - 14x = - 42
x = - 42/-14
x = 3
5) - 3/5 + x = 12/5
x = 12/5 + 3/5
x = 15/5
x = 3
Learn more about equation here:
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A tabletop has an area of 12 square feet and a perimeter of 16 ft. What are the dimensions of the table? 2 ft by 6 ft 2 ft by 8 ft 4 ft by 3 ft 4 ft by 4 ft
Answers
Answer:
2 ft by 6
Step-by-step explanation:
The dimensions of the table are either 2 feet by 6 feet or 6 feet by 2 feet.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Since, the area of a rectangle is:
Area = length x width
We know that the area of the table is 12 square feet,
So, we can write:
12 = length x width
And, use the formula for the perimeter of a rectangle:
Perimeter = 2 x length + 2 x width
We know that the perimeter of the table is 16 feet, so we can write:
16 = 2 x length + 2 x width
Now we have two equations with two variables (length and width), which we can solve simultaneously as.
Let's rearrange the second equation to solve for length:
16 = 2 x length + 2 x width
16 - 2 x width = 2 x length
8 - width = length
Now we can substitute this expression for length into the first equation:
12 = length x width
12 = (8 - width) x width
12 = 8w - w²
We can rearrange this equation into standard quadratic form:
w² - 8w + 12 = 0
Now we can use the quadratic formula:
where a = 1, b = -8, and c = 12
w = (-(-8) ± √((-8)² - 4(1)(12))) / 2(1)
w = (8 ± √(16)) / 2
w = 4 ± 2
Hence, w = 2
w = 6
So the possible values for the width are 2 and 6.
If the width is 2 feet, then the length is:
length = 8 - width = 6 feet
If the width is 6 feet, then the length is:
length = 8 - width = 2 feet
Therefore, the dimensions of the table are either 2 feet by 6 feet or 6 feet by 2 feet.
Learn more about the rectangle visit:
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A penny, a nickel, a dime, and a quarter are tossed. What is the probability of obtaining exactly two tails on the tosses?
Answers
p
=
0.5
of heads or tails, we can model the probability of X out of N coins landing head side up with the binomial distribution:
(=∣)=()(1−)−
P
(
x
=
X
∣
p
)
=
(
N
X
)
p
X
(
1
−
p
)
N
−
X
Substituting the probability =0.5
p
=
0.5
and =4
N
=
4
into this pdf, we get:
(=)=(4)0.50.54−
P
(
x
=
X
)
=
(
4
X
)
0.5
X
0.5
4
−
X
To get the probability that three or more heads are obtained, we sum all the probabilities for ≥3
x
≥
3
, i.e.
(≥3)=∑=34(4)0.50.54−
P
(
x
≥
3
)
=
∑
x
=
3
4
(
4
X
)
0.5
X
0.5
4
−
X
(≥3)=(43)0.54+(44)0.54
P
(
x
≥
3
)
=
(
4
3
)
0.5
4
+
(
4
4
)
0.5
4
(≥3)=4(0.54)+0.54
P
(
x
≥
3
)
=
4
(
0.5
4
)
+
0.5
4
(≥3)=5(0.54)
P
(
x
≥
3
)
=
5
(
0.5
4
)
(≥3)=5(116)
P
(
x
≥
3
)
=
5
(
1
16
)
(≥3)=516=0.3125
P
(
x
≥
3
)
=
5
16
=
0.3125
Note: This particular question is simple enough to do without the above equation. One must recognize that there are 24
2
4
possible outcomes in the sample space of this four coin flip. Four of these outcomes have one coin which landed tails (one outcome for each different value of coin) i.e. three heads, and only one outcome exists where all coins are heads. These make up 5 of the 16 possible outcomes. Each are equally likely due to the equal probability of heads or tails for each coin, so we get the same answer as above.
5/6 n=10 show me how to solve it please
Answers
Hey there! :)
Answer:
n = 12.
Step-by-step explanation:
Given:
5/6n = 10
Solve by isolating the variable. Divide both sides by 5/6. (Multiply by the reciprocal)
5/6n · 6/5 = 10 · 6/5
n = 10 · 6/5
n = 12.
Answer:
6n = 10 ×5
6n = 50
n = 50/6
n = 8.3
From 12:00 midnight to 6:00am the temperature decreased by 12 degree C if the original temperature was 12 degrees C which expression can be used to represent this situation
Answers
Answer:
12 - 12
Step-by-step explanation:
Given
Initial Temperature (at 12 midnight) = 12 deg C
By 6am; Temperature has decreased by 12 deg C
Required
What expression represents the situation
Provided that there was a decrement in the temperature; the system will b represented by Initial Temperature minus Change in temperature
Expression = Initial Temperature - Change in Temperature
Expression = 12C - 12C
Solving further to get the actual temperature at 6
Final Temperature = 12C - 12C
Final Temperature = 0 C
Answer:
12-12
Step-by-step explanation: