Answers
Answer:
\(39^{\circ} + b= 180^{\circ} (linear \: pair)\\b= 180 - 39\\\boxed{b = 141^{\circ}}\)
Related Questions
A uniform continuous distribution has a maximum of 14 and a minimum of 2. Samples of size 36 are drawn from the distribution. What is the variance of the sample means?.
Answers
The variance of the sample mean is 12/35 = 0.3429.. This is a result of uniform distribution.
The uniform distribution is a continuous probability distribution and is concerned with events that are equally likely to occur. When working out problems that have a uniform distribution, be careful to note if the data is inclusive or exclusive.
According to the question, we have
Sample size (n) = 36; uniform continuous distribution has a maximum of 14 and a minimum of 2.
The notation for the uniform distribution is
X U(a,b), where a= the lowest value of x and b= the highest value of x. The probability density function is f(x) = 1/(ba ) fo axb .
b = 14 and a = 2.
Variance in uniform distribution = (b-a)² / 12.
Put the value of a and b,
Variance = ( 14-2)²/12 = 12
Sample variance is used to calculate the variability of sample sets.
The variance of the sample means = variance / (sample size- 1) 9= (b-a)²/ (n-1)
= 12/35= 0.342
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slope=
-1 ; y-intercept = 4
Answers
Answer:
y = -x + 4
Step-by-step explanation:
y = mx + c
y = -1x + 4
y = -x + 4
Find the gradient of the line segment between the points (2,2) and (0,6).
Answers
Answer:
slope-intercept formula -----> Y2-Y1/X2-X1
Step-by-step explanation:
X1 = 2 X2= 0
Y1 = 2 Y2=6
6-2/0-2= -2
G= -2
Dante invest $ 3500 and earns 2% in simple interest every year. assuming he makes no additional deposits or withdrawals, how much will be in his account after 3 years
Answers
The information provided hows an investment that yields a simple interest.
A simple interest is calculated as follows;
\(\begin{gathered} I=\text{PRT} \\ \text{Where;} \\ I=\text{interest} \\ P=\text{amount invested} \\ R=\text{rate of yield} \\ T=\text{period in years} \end{gathered}\)Therefore, Dante's investment after 3 years at the rate of 2% (that is 0.02) would be;
\(\begin{gathered} I=\text{PRT} \\ I=3500\times0.02\times3 \\ I=210 \\ \text{Amount}=P+I \\ \text{Amount}=3500+210 \\ \text{Amount}=3710 \end{gathered}\)ANSWER:
After 3 years, Dante would have $3,710 in his account
PLEASE HELP ILL MARK BRAINEST THANK YOU!
Answers
Answer:
In a 30°-60°-90° right triangle, the length of the hypotenuse is twice the length of the shorter leg, and the length of the longer leg is √3 times the length of the shorter leg.
2) DE = 2 × 5 = 10, DF = 5√3
3) MO = 3√3, LM = 3√3√3 = 9
4) LK = 2√6/√3 = 2√2, JK = 2 × 2√2 = 4√2
this is for algebra 2
Answers
Answer:
The answer is D
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is x - 3y = -18. Fully reduce your answer.
Answers
Given:
Equation of a line is
\(x-3y=-18\)
To find:
The slope of the line perpendicular to the given line.
Solution:
The slope of the equation \(ax+by=c\) is
\(Slope=-\dfrac{a}{b}\)
We have,
\(x-3y=-18\)
Here, a=1, b=-3. So, slope of this line is
\(m_1=-\dfrac{1}{-3}\)
\(m_1=\dfrac{1}{3}\)
Product of slopes of two perpendicular lines is -1.
Let slope of perpendicular line is \(m_2\).
\(m_1\cdot m_2=-1\)
\(\dfrac{1}{3}\cdot m_2=-1\)
\(m_2=-3\)
Therefore, the slope of the perpendicular line is -3.
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Answers
Answer:
i think its a or d
Step-by-step explanation:
1. Average Senior High School annual cost of tuition fee for all private schools in Cavite last year was 46,300 a random sample of costs this year for 45 private schools indicated that the sample mean was 47,800 and a sample standard deviation was 5600 at the 0.10 level of significance, is there sufficient evidence to conclude that the cost has increased?
Solution:
1. State of hypotheses
2. The level of significance, critical region, and df if any
3. Compute for the value of one sample z-test or t-test
4. Decision rule
5. conclusion
Answers
Answer:
Step-by-step explanation:
H0 : μ = 46300
H1 : μ > 46300
α = 0.05
df = n - 1 = 45 - 1 = 44
Critical value for a one tailed t-test(since population standard deviation is not given).
Tcritical = 1.30
The test statistic :(xbar - μ) ÷ (s/sqrt(n))
The test statistic, t= (47800-46300) ÷ (5600√45)
t = 1500
t = 1500 / 834.79871
t = 1.797
The decision region :
Reject H0: if t value > critical value
1. 797 > 1.30
Tvalue > critical value ; We reject H0
Hence, there is sufficient evidence to conclude that cost has increased.
expand -4x(- 3y+5z)
Answers
Answer:
\(12xy-20xz\)
Step-by-step explanation:
What is the fuction rule this table
Answers
The table values using function rule y = -10x - 2 is (8,-2,-12,-52)
Given function
y = -10x - 2
From the table
x = -1 , 0 , 1 , 5
substitute x values in function
if x = -1
y = -10x - 2
= -10(-1) - 2
= 10 - 2
y = 8
if x = 0
y = -10(0) -2
y = -2
if x = 1
y = -10(1) - 2
y = -12
if x = 5
y = -10(5) -2
y = -52
y values (8,-2,-12,-52)
Table:
x y
-1 8
0 -2
1 -12
5 -52
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What type of figure is WY?
A point
C plane
B ray
D line
Answers
la respuesta es la C plane
convert the polar representation of this complex number into its standard form
Answers
Given:
\(z=6(\cos300\degree+i\sin300\degree)\)Required:
To
Plot the points A(1, 3), B(3, 5), C(9, 1), and D(7, -1). Connect the points to make a quadrilateral. What type of quadrilateral is it? Prove it – remember to show all steps!
Answers
The graph of the quadrilateral ABCD is attached below
What is the graph of the quadrilateral?To plot the graph of a quadrilateral, we need to know the coordinates of its four vertices. Let's say the coordinates of the vertices are A(x₁, y₁), B(x₂, y₂), C(x₃, y₃), and D(x₄, y₄).
Here are the steps to plot the graph of the quadrilateral:
1. Draw a coordinate plane on a sheet of graph paper.
2. Plot the points A, B, C, and D on the coordinate plane using their respective coordinates. Label the points accordingly.
3. Draw line segments connecting the vertices of the quadrilateral. For example, connect points A and B, B and C, C and D, and D and A.
4. Check that the sides of the quadrilateral are not intersecting each other. If the sides intersect, then the quadrilateral is not a valid shape.
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Determine which product has the lower unit price a 16- ounce bag of chocolate for $1.99 or B an 18- ounce bag of chocolates for $2.29
Answers
Step-by-step explanation:
Just divide 16 and 1.99 and 18 and 2.29 and choose the one with less value
Solve for x. Round to the nearest tenth
Answers
If sin o = -square root 3/2 and pi < o < 3pi/2 what are the values of cos and tan?
Answers
Answer:
c
Step-by-step explanation:
Determine whether the statement is TRUE or FALSE.
1. 5 | 475
Answers
Answer:Not possible to divide really.
Step-by-step explanation: Don't get your quetsion where's the statement or wtv?...
What could be a slope for this?
Answers
Answer: y=mx+b find any two points on the line
Step-by-step explanation:
Let f(x)= 6x +\sqrt{(x+37)} Choose the form of the largest interval on which f has an inverse...
Answers
The domain of f is the interval [-37, ∞).
For a function to have an inverse, it must be one-to-one, which means that it must pass the horizontal line test, i.e., each horizontal line should intersect the graph of the function at most once.
The derivative of the function is:
\(f'(x) = 6 + (1/2√(x+37))\)
f'(x) is always positive because 6 is positive and the square root is positive, so f(x) is an increasing function. This means that f(x) is one-to-one and therefore has an inverse.
To determine the largest interval on which f has an inverse, we need to find the domain of f. The square root can only take non-negative values, so we must have x+37 ≥ 0, which means x ≥ -37.
Therefore, the domain of f is the interval [-37, ∞).
Since f is increasing over this interval, its inverse will also be increasing, and the largest interval on which f has an inverse is [-37, ∞).
The proper question is "Let f(x)=6x+√(x+37)Choose the form of the largest interval on which f has an inverse and enter the value(s) of the endpoint(s) in the appropriate blanks. Then find (f−1)′(0)
Endpoints(a ,b)"
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help please i’ll mark brainlist
Answers
Answer:
b
Step-by-step explanation:
in order for it to be a function the x values cannot repeat.
in answer b the x value 6 repeats twice therefore it is not a function
Answer:
I think thqat the answer is b
Step-by-step explanation:
Trevor is making payments on a car that costs 26,555 dollars. He makes 36 equal payments. If he rounds the equal payments up to the nearest whole dollar, about how much will he overpay after 36 months? Explain.
Answers
Answer:
$13 overpayment
Step-by-step explanation:
We can find the amount Trevor should pay each month by dividing the $26,555 by 36 months:
($26,555/(36 months)) = $737.64 per month
Since Trevor decide to round up to the nearest dollar, he will pay $738 each month. That's an overpayment of $0.361 each month.
After 36 months of overpaying by $0.361 each month, Trevor will have overpaid:
($0.36/month)*(36 months) = $13 overpayment
you want to obtain a sample to estimate a population proportion. based on previous evidence, you believe the population proportion is approximately 40%. you would like to be 90% confident that your estimate is within 1.5% of the true population proportion. how large of a sample size is required?
Answers
The largest sample size required is 2886.4.
Here we have to calculate how large of a sample size is required.
The formula:
(Z ∝I2/ E)² × P( 1- P)
The given data:
Margin error (E) = 1.5%
=0.015
As it is given that 90% confident that your estimate is within 1.5% of the true population proportion, therefore we have:
The level of significance(∝) = 1 - 0.90
= 0.10
The z value for the 90% confidence is 1.645
Therefore the largest of a sample size is required = ( 1.645/ 0.015)²× ( 0.4)(1- 0.4)
= 2886.4
The largest a sample size required is 2886.4
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-4(1+10a)-7>-10(1+4a)-1
Answers
Answer:
no solution.
Step-by-step explanation:
Answer:
no solution.
Step-by-step explanation:
-4 (1 + 10a) - 7 > -10 (1 + 4a) - 1
-4 + 40a - 7 > -10 + 40a -1
40a - 40a > -10 - 1 + 4 + 7
the Variable is canceled so there is no solution.
that you're positive that you should be trying out these difficult math questions, let’s get right to it! The answers to these questions are in a separate section below, so you can go through them all at once without getting spoiled.
#1:
body_ACT_0506_-_56
#2:
body_ACT_0506_-_59
#3:
body_ACT_0809_-_38_J
#4:
body_ACT_0809_-_54
#5:
body_ACT_0809_-_55-1
#6:
body_ACT_0809_-_56
#7:
body_ACT_0809_-_57-1
#8:
body_ACT_0809_-_60
#9:
body_ACT_1112_-__48-1
#10:
body_ACT_1112_-_45
#11:
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#12:
body_ACT_1112_-_52
#13:
body_ACT_1112_-_53
#14:
body_ACT_1112_-_58
#15:
body_ACT_1314_-_55-1
Answers
Answer:
that you're positive that you should be trying out these difficult math questions, let’s get right to it! The answers to these questions are in a separate section below, so you can go through them all at once without getting spoiled.
#1:
body_ACT_0506_-_56
#2:
body_ACT_0506_-_59
#3:
body_ACT_0809_-_38_J
#4:
body_ACT_0809_-_54
#5:
body_ACT_0809_-_55-1
#6:
body_ACT_0809_-_56
#7:
body_ACT_0809_-_57-1
#8:
body_ACT_0809_-_60
#9:
body_ACT_1112_-__48-1
#10:
body_ACT_1112_-_45
#11:
body_ACT_1112_-_51-1
#12:
body_ACT_1112_-_52
#13:
body_ACT_1112_-_53
#14:
body_ACT_1112_-_58
#15:
body_ACT_1314_-_55-1
Step-by-step explanation:
solve for x -6x+14 <-28 or 9x+15 equal to -12
Answers
Answer:
i think the answer is D. there are no solutions
Answer:
A. x ≤ -3 or x > 7
Step-by-step explanation:
Solve the first equation.
-6x + 14 < -28
Subtract 14 from both sides.
-6x < -42
Divide both sides by -6. REMEMBER: when dividing an inequality by a negative number, flip the sign.
x > 7.
Solve the second equation.
9x + 15 ≤ -12
Subtract 15 from both sides.
9x ≤ -27
Divide both sides by 9.
x ≤ -3.
Your answer is A.
Identify if the given table shows a Linear or Quadratic relationship.
X
-2
-1
0
1
2
3
y
51
30
15
6
3
6
Quadratic
Exponential
No Relationship
Linear
Answers
Answer:
The given table shows a quadratic relationship.
Directions: Simplify the following expressions.
1. 12(3) - 12(2) =
2. 7 (-2 + 2) =
3. 6(3) - 4(2) =
4. 6(4) - 2(3) =
5. 12(3) - 2(12) =
6. 4(2+3) =
7. 12(2) - 7(2) =
8. 4 (3) =
9. (4)(4) =
10. 12(6) =
11. 8(8) - 2(3) =
12. 6(x) =
13. 7x(3) =
14. 12(x + 2) =
15. 13(3x - 3) =
16. 24x( 2+3) =
Answers
2. 0
3. 10
4. 18
5. 12
6. 20
7. 10
8. 12
9. 16
10. 72
11. 58
12. 6x
13. 21x
14. 12x + 24
15. 39x - 39
16. 48x + 72x
Function Q: y =1/3x + 2 Identify function Q as linear or nonlinear. State a reason why it is linear or nonlinear.
Answers
Answer:
A linear function is written in slope-intercept form as:
y = a*x + b
Where a is the slope and b is the y-intercept.
So any function of this shape, is a linear function, such that when graphed it is a straight line.
In this case, the function you wrote is:
Q: y = 1/3x + 2
Now, if the function is exactly what you wrote, then x is in the denominator:
y = 1/(3*x) + 2
Clearly, this is different than the general linear equation you can see above (here the variable is in the denominator) then in this case Q is non-linear.
If instead, the actual function Q is:
Q: y = (1/3)*x + 2
Then this is a linear equation, where the slope is 1/3 and the y-intercept is 2.
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Answers
Answer:
(-2,-2)
Step-by-step explanation:
Answer:
a = -2,-2
b = -3,-3
c = -1,-3
Step-by-step explanation: