What is the exact value of cos(11pi/12)
9514 1404 393
Answer:
[tex]\text{(a)} \quad -\dfrac{\sqrt{2+ \sqrt{3}}}{2}[/tex]
Step-by-step explanation:
The angle is near π, so the cosine value is a negative value near -1. This means the value under the numerator radical must be slightly less than 4. The only answer choice that makes any sense is the first choice.
The value of the cosine is ...
cos(11π/12) ≈ -0.9659
The values of the answer choices are ...
a) -0.9659 . . . . matches the required value
b) -0.2588
c) 0.2588
d) 0.9659
_____
You could use half-angle or angle sum formulas to figure this exactly, but it is much easier to make a multiple-choice selection based on your general knowledge of the cosine function and √3 (≈1.73).
Answer:a
Step-by-step explanation:
Edge:)
An experiment was conducted as a one-way factorial design with K sample means, each based on n scores. What is the number of degrees of freedom for the between mean squares
Answer:
The mean squares has d.f (n-1)
Step-by-step explanation:
The total number of degrees of freedom is n-1 as there is only one restriction of computing the grand mean. The d.f for k samples is k-1 beacuase the mean of the sample means must equal the grand mean. Similarly , the d.f for within SS is n-k , due to the k restrictions of computing the k sample means. Hence we find that
Total df= Within df + Between df
n-1= (n-k)+(k-1)
Between SS has (k-1) d.f
Within SS has (n-k) d.f
These two quantities are known as mean squares and has d.f (n-1)
Imagine a researcher posed a null hypothesis that in a certain community, the average energy expenditure should be 2,100 calories per day. He randomly sampled 100 people in that community. After he computed the t value by calculating a two-tailed t-statistic, he found that the probability value was 0.10. Thus, he concluded:
Answer: I fail to reject the Null Hypothesis H₀ and conclude that average energy expenditure is 2100 calories per day.
Step-by-step explanation:
Null Hypothesis H₀ : average energy expenditure is 2100 calories per day
Alt Hypothesis H₁: average energy expenditure is NOT 2100 calories per day
now since
P-value (0.10) > ∝ (0.05),
then he should say;
i fail to reject the Null Hypothesis H₀ and conclude that average energy expenditure is 2100 calories per day.
question is on pic :)
Answer:
Number 1 is nonlinear because the line is not straight and number 2 is linear.
Step-by-step explanation:
Solve 3x-4y=18,9x+2y=12
Why is the area of a circle more than 2 square units
Answer:
a circle's area is measured in square units Finding the area of a square is easy length times width. A circle though has only a diameter or distance across.
Step-by-step explanation:
PLZ HELP ;(((
A line passes through the points (k + 10,-2k – 1) and (2,9) and has a y-intercept
of 10. Find the value of k and the equation of the line.
solve for all 3 equations
Answer:
The value of k is -4 and the equation of the line is [tex]y =-\frac{1}{2}\cdot x +10[/tex].
Step-by-step explanation:
The equation of the line is defined by the following formula:
[tex]y = m\cdot x + b[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]b[/tex] - y-Intercept.
[tex]m[/tex] - Slope.
In addition, the slope of the equation of the line ([tex]m[/tex]) can be known from two distinct points:
[tex]m = \frac{y-y_{o}}{x-x_{o}}[/tex] (2)
Where [tex]x_{o}[/tex] and [tex]y_{o}[/tex] are the coordinates of the reference point.
By applying (2) in (1), we derive the resulting expression:
[tex]y = \frac{y-y_{o}}{x-x_{o}}\cdot x + b[/tex]
[tex]y\cdot (x-x_{o}) = (y-y_{o})\cdot x + b\cdot (x-x_{o})[/tex]
[tex]x\cdot y -y\cdot x_{o} = x\cdot y -x\cdot y_{o}+b\cdot x -b\cdot x_{o}[/tex]
[tex](b-y)\cdot x_{o} = b\cdot x -x\cdot y_{o}[/tex]
[tex](b-y)\cdot x_{o} +x\cdot y_{o} = b\cdot x[/tex] (3)
If we know that [tex]b = 10[/tex], [tex]x = 2[/tex], [tex]y = 9[/tex], [tex]x_{o} = k+10[/tex] and [tex]y_{o} = -2\cdot k -1[/tex], then the value of [tex]k[/tex] is:
[tex](10-9)\cdot (k+10)+2\cdot (-2\cdot k -1) = (10)\cdot (2)[/tex]
[tex]k+10 -4\cdot k -2 = 20[/tex]
[tex]-3\cdot k +8 = 20[/tex]
[tex]-3\cdot k = 12[/tex]
[tex]k = -4[/tex]
The value of the slope is:
[tex]m = \frac{9-7}{2-6}[/tex]
[tex]m = -\frac{1}{2}[/tex]
The equation of the line is [tex]y =-\frac{1}{2}\cdot x +10[/tex].
which expression is equivalent to (5^-2) (5^-1)
Answer:
C) [tex]\frac{1}{125}[/tex]
Step-by-step explanation:
on edg
Write an equation to show " buying 2 boxes of crayons and $4.00 each."
Answer:
4+4is the answer hope ot helps
What is the missing value? 80/?=50/100
1. A hummingbird weighed w ounces. One day the hummingbird drank 8 times its weight
in water and ate half its weight in food. Which equation can be used to find t, the
combined weight of the water and the food, In ounces, that the hummingbird had on this
day?
O
t - W + 8
2
O
t-w + 8 +
NI
O
t =8w+
2
w
t2w+
8
CLEAR ALL
Answer:
t = 8w + w/2
Step-by-step explanation:
Given that :
Weight of bird = w
Amount of water consumed = 8*w = 8w
Amount of food ate = 0.5*w = 1/2w
Hence, the combined weight of water and food (t) consumed by the humming bird :
t = amount of water consumed + amount of food ate
t = 8w + w/2
Write the Linear Equation given:
1. Slope = 4; y-intercept = -5
2. Slope = 5; y-intercept = 3
3. Slope = -2; y-int; y-intercept = -8
4. Slope = 2; y-intercept = 2
5. Slope = -%; y-intercept = -2
6. Slope = /; y-intercept = 7
7. Slope = -3; y-intercept = ?
8. Slope = %; y-intercept = 10
9. Slope = -2; y-intercept = -1
10.Slope = -2; y-intercept = -3
Answers:
Answer:
Either a tangent line or a line parallel to the axis of symmetry will do.
A standard high school parabola has a vertical or horizontal axis of symmetry, so a line of the form x=k or y=k is the easiest way
hope it helps you
you have 24 homework problems for math class. You finish 12 of them during some extra time in class. If you complete 4 more problems while waiting for the bus, what fraction of the 24 problems will remain?
Answer:
8/24
1/3 (simplified)
Step-by-step explanation:
You first subtract the amount of homework you already did
24-12=12
12-4=8
8/24
(optional)
Simplify
8/24 = 1/3
write the whole number 250 as a fraction that equals 1
Answer:
250/250
Step-by-step explanation:
30% of Americans will fall asleep before midnight. For every 500 Americans, about how many will be sleeping before the New Year?
Answer: 150
Step-by-step explanation:
30% = 0.3
100-30=70
70% = 0.7
0.7 X 500 = 350
500-350 = 150
For every 500 Americans, the number of people fall asleep before the New Year is, 150
What is the percentage?The percentage is a mathematical term, which means a number or a ratio which is represented in fractions of 100. We use the '%' symbol to represent the percentage.
Formula for percentage;
Percentage = (present quantity/whole quantity)×100
Given that,
30% of Americans will fall asleep before midnight
For every 500 Americans, about how many will be sleeping before the New Year?
Percentage = num. of people fall asleep in sample/Total people in sample ×100
30 = N/500×100
N = 150
Hence, the number of people fall asleep is 150
To know more about Percentage check:
https://brainly.com/question/29306119
#SPJ1
PLEASE HELP I WILL GET DETENTION
Answer:
b) 12 is right answer
I hope it's helps you
Which number is Prime
1
33
63
Or 37
Answer:
67
Step-by-step explanation:
I'm pretty sure 67 is a prime
Pleaseeee answer this is timed 20 points
Answer:
A
Step-by-step explanation:
3x + 5+ y + 12 + 2x + x + 3+ 4y
Can you help me with these 5 questions please?!
Answer:
1. A 2. 9$ 3. C 4. C 5. Because you can see the prices and the difference between prices
Rate pls
PLZ HELP!!! I need help ASAP
Answer:
The two problems/expressions are the same because of the negative and positive rule.
Step-by-step explanation:
+ - = -
- + = -
- - = +
+ + = +
Solve for the following equation
R-(-5)=-9
1.6[7-4m]=30
2.[5+6a]-3=8
Answer:
(a,m=(-1499/1812, 1/2)
Step-by-step explanation:
hope this helps!
Enter the resulting inequality.
12>-4; Subtract 12 from both sides.
The resulting inequality is
Answer:
0>-16
Step-by-step explanation:
Answer the question above
Answer:
[tex]tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)[/tex]
Option A is correct.
Step-by-step explanation:
We need to find equivalent of [tex]tan\:\left(\frac{5\pi }{6}\right)[/tex]
First we solve [tex]tan\:\left(\frac{5\pi }{6}\right)[/tex]
We get [tex]-\frac{1}{\sqrt{3} }[/tex]
Now checking all the options.
Option A: [tex]tan\:(-\frac{\pi}{6} )[/tex]
Solving [tex]tan\left(-\frac{\pi }{6}\right)\: we\: get\: \mathbf{ -\frac{1}{\sqrt{3} }}[/tex]
Option B: [tex]tan\left(\frac{7\pi }{6}\right)[/tex]
Solving [tex]tan\left(\frac{7\pi }{6}\right)\: we\: get\: \mathbf{\frac{1}{\sqrt{3} }}[/tex]
Option C: [tex]cot\left(\frac{5\pi }{6}\right)[/tex]
Solving [tex]cot\left(\frac{5\pi }{6}\right)\:we\:get\:\mathbf{-\sqrt{3} }[/tex]
Option D : [tex]tan\left(-\frac{5\pi }{6}\right)[/tex]
Solving [tex]tan\left(-\frac{5\pi }{6}\right) \:we\:get:\mathbf{\frac{1}{\sqrt{3} } }[/tex]
So, looking at the options, only Option A has the same result as given question
So, [tex]tan\:\left(\frac{5\pi }{6}\right)=tan\left(-\frac{\pi }{6}\right)[/tex]
Option A is correct.
Help ASAP! And explain!
Answer: Choice A) Angle-Angle-Side
This abbreviates to AAS.
==========================================================
Explanation:
AC bisects angle DAB, which tells us that angle DAC and angle CAB are the same measure (in this case, each is 106/2 = 53 degrees).
Because angle DAC = angle CAB, this forms the second "A" of "AAS". The first "A" is due to angle ABC = angle ADC.
The "S" refers to AC = AC by the reflexive property.
"Angle-Angle-Side" shortens to "AAS". Be sure not to mix it up with ASA which is a similar theorem. In the case of AAS, the side is not between the angles mentioned. If we knew that AB = AD, then we could use ASA.
WILL GIVE BRAINIEST AND 100 POINTS TO CORRECT ANSWER
A parallelogram is shown below:
Part A: What is the area of the parallelogram? Show your work. (5 points)
Part B: How can you decompose this parallelogram into two triangles? If this parallelogram was decomposed into two triangles, what would be the area of each triangle? (5 points)
Answer: part a: area = bh part b: split it on its diagonals
Step-by-step explanation:
what has a quotiont of 9 and a reminder of 5
Answer:
Division problems with quotient of 9 and remainder of 5 could include:-
23/2 = 9 + 5/2
32/3 = 9 + 5/3
41/4 = 9 + 5/4
50/4 = 9 + 5/5
But you could justifiably object that more natural forms for the answers would be 11 + 1/2, 10 + 1/3, 10 + 1/4 and 10 , and so you may well prefer such as
59/6 = 9 + 5/6
77/8 = 9 + 5/8 ….. and so on
As you can see the general pattern is (9n + 5)/n = 9 + 5/n
You can now make up your own examples, like 212/23 = 9 + 5/23
Step-by-step explanation:
Which fact is related to 12 = 3 = 4?
I need help
Answer:
factors
Step-by-step explanation:
Given that z is a standard normal random variable, find the value of z for each situation. a. The area to the right of z is 0.01.
Answer: =1.34
Step-by-step explanation:
In standard density curve
P(Z<z) = Area left of z, P(Z>z) = area right of z.
P(Z<z) +P(Z>z) =1
Given: z is a standard normal random variable.
To find : value of z if rea to the right of z is 0.01.
i.e. P(Z>z) =0.01
P(Z<z) =1-0.01 = 0.09
from z-score table, z value for this is 1.34.
Hence, z= 1.34