Answers
Answer:
[tex]\frac{ \sqrt{3} }{2} [/tex]
Step-by-step explanation:
[tex] \cos \bigg( \frac{11\pi}{6} \bigg) \\ \\ = \cos \bigg( 2\pi - \frac{\pi}{6} \bigg) \\ \\ = \cos \bigg(\frac{\pi}{6} \bigg) \\ \\ = \frac{ \sqrt{3} }{2} [/tex]
Related Questions
Find the measure of the missing angle
Answers
The two angles form a straight line and need to equal 180 degrees
180 - 61 = 119
The missing angle is 119 degrees
help me please lease
Answers
Answer:
m = 4
Step-by-step explanation:
(80, 40) and (90, 80)
40/10= 4
Answer:
4
Step-by-step explanation:
choose two points
I chose (80,40) and (90,80)
(80-40)÷(90-80)
40/10
4
A local outdoor equipment store is being sold. The buyers are trying to estimate the percentage of items that are outdated. They will randomly sample among its 100,000 items in order to determine the proportion of merchandise that is outdated. The current owners have never determined their outdated percentage and can not help the buyers. Approximately how large a sample do the buyers need in order to insure that they are 98 % confident that the margin of error is within 3%
Answers
Using the z-distribution, as we are working with a proportion, it is found that the buyers need a sample of 1505.
What is a confidence interval of proportions?A confidence interval of proportions is given by:
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which:
[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this problem, we have a 98% confidence level, hence[tex]\alpha = 0.98[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.98}{2} = 0.99[/tex], so the critical value is z = 2.327.
There is no estimate of the percentage, hence [tex]\pi = 0.5[/tex], and the margin of error is of M = 0.03, hence we solve for n to find the desired sample size.
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 2.327\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.03\sqrt{n} = 2.327(0.5)[/tex]
[tex]\sqrt{n} = \frac{2.327(0.5)}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{2.327(0.5)}{0.03}\right)^2[/tex]
[tex]n = 1504.2[/tex]
Rounding up, the buyers need a sample of 1505.
More can be learned about the z-distribution at https://brainly.com/question/25890103
Solve Systems of Equations Using the Substitution Method
6x - y= -4
2x + 2y = 15
I genuinely do not understand this concept at all, it would be AMAZING, if you could explain this as well.
Thanks, all.
Answers
Answer:
x= ½, y= 7
Step-by-step explanation:
[tex]\textcolor{steelblue}{\text{\textcircled{1} Label the equations}}[/tex]
6x -y= -4 -----(1)
2x +2y= 15 -----(2)
[tex]\textcolor{steelblue}{\text{\textcircled{2} Make y the subject of formula}}[/tex]
We could also make x the subject of formula in one equation, however the equation can be easily rearranged so that the coefficient of y is 1. This can be done by moving the y term to the right hand side of the equation, and the rest to the left. Note that each time you bring a term or constant over to the other side of the equation, its sign changes (e.g. positive to negative).
From (1):
6x +4= y
y= 6x +4 -----(3)
Label the equation as equation (3) so we can refer to it easily later.
[tex]\textcolor{steelblue}{\text{\textcircled{3} Substitute (3) into (2)}}[/tex]
Now that we have an equation of y that is written in terms of x, we can replace all the y in equation (2) so that the whole equation is only in terms of x.
Subst. (3) into (2):
2x +2(6x +4)= 15
Expand:
2x +12x +8= 15
Simplify:
14x +8= 15
14x= 15 -8
14x= 7
x= 7 ÷14
x= ½
[tex]\textcolor{steelblue}{\text{\textcircled{4} Find y}}[/tex]
Substitute x= ½ into (3):
y= 6(½) +4
y= 3 +4
y= 7
In Juneau, Alaska, the 30-year annual snowfall average is 86. 7 inches with a standard deviation of 40. 4 inches. The last four years saw an average annual snowfall of 115. 7 inches, 62. 9 inches, 168. 5 inches, and 135. 7 inches. Hia performs a hypothesis test on this data to determine if the next 30-year norm will have a different average if the trend from the last four years continues. She uses a significance level of 5%. Which of the following is a conclusion that she may make? The z-statistic is 1. 44, so the null hypothesis cannot be rejected. The z-statistic is 1. 68, so the null hypothesis cannot be rejected. The z-statistic is 1. 85, so the null hypothesis should be rejected. The z-statistic is 4. 6, so the null hypothesis should be rejected.
Answers
The z-statistic is 1. 68, so the null hypothesis cannot be rejected.
What is null hypothesis?The expected value of the amount of average snowfall for over 30 years is 86.7 inches with a standard deviation of 40.4 inches.
To verify if this particular trend continues, we must check the significance value of the amount snowfall for the past four years.
Given that the snowfall for past years are as follows: 115.7 inches, 62.9 inches, 168.5 inches, and 135.7 inches.
Thus the mean of the sample would be: (115.7 + 62.9 + 168.5 + 135.7)/4 = 120.7 inches.
To compute for the z-score,
we have z-score = (x – μ) / (σ / √n)
where x is the computed/measured value,
μ is the expected mean, σ is the standard deviation,
and n is the number of samples.
Using the information we have,
z-score (z) = (120.7 - 86.7) / (40.4/ √4) = 1.68
In order to reject the null hyptohesis our probability value must be less than the significance level of 5%. For our case, since z = 1.68, P-value = 0.093 > 0.05.
Hence The z-statistic is 1. 68, so the null hypothesis cannot be rejected.
To know more about Null hypothesis follow
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Answer:
B. The z-statistic is 1.68, so the null hypothesis cannot be rejected.
Step-by-step explanation:
edg 22, got 100 on unit test
Which table does NOT represent a linear function?
Answers
Hey there!
Linear functions have a continuous change.
Let's check these tables and see if we can tell linear functions from non-linear functions.
The first one is
x values: -1, 0, 1, 2- we add 1 each time
y values: 8, 5, 2, -1- we subtract 3 each time
[tex]\rule{200}{2}[/tex]
Let's try the next one:
x values: -1, 0, 1, 2- we add 1 each time
y values: 5, 10, 15, 20- we add 5 each time
[tex]\rule{200}{2}[/tex]
Let's try the third one:
x values: -1, 0, 1, 2- we add 1 each timey values: 15, 18, 20, 21- we add 3, then 2, then 1..
So this table doesn't represent a linear function.
Let's check the fourth one:
x values: -1, 0, 1, 2- we add 1 each time
y values: 1, 2, 3, 4- we add 1 each time
Thus, Option C is the right option.
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
marks obtained by the students are 12,16,14,13,19 and x . If their average marks is 15. find the value of x.
step by step
process by process
needed answer
making them as a brainlists
Answers
Answer:
x = 16
Step-by-step explanation:
Given:
Number of students = 6Average mark = 15Therefore, total marks = 15 × 6 = 90
To find the value of x, add up the individual marks:
12 + 16 + 14 + 13 + 19 + x = 74 + x
Now equate this to the total number of marks found previously:
74 + x = 90
Solve for x:
⇒ 74 + x - 74 = 90 - 74
⇒ x = 16
Therefore, the value of x is 16.
please helpppppppppppppppp ?
Answers
Answer: (x + 4)(x + 4)
x² + 8x + 16
x² + 4x + 4x + 16
Step-by-step explanation:
See the image below.
HELP PLEASE
Find the area of the irregular figure.
5 in.
4 in
A = [ ? ]in.?
5 in.
9 in.
12 in.
4 in
5 in.
Answers
Answer:
Area of a rectangle
A = lw
answer the question with true or false:
Answers
Answer:
true
Step-by-step explanation:
Tickets at a particular movie theater have different rates for adults and children. On Tuesday the theater sold 4 adult tickets and 9 child tickets for $88. The next day, the theater sold 7 adult tickets and 5 children tickets for $111. What is the price for the adult ticket and the price for the child ticket?
Answers
Answer:
Adult Ticket = $13.00, Children Ticket = $4.00
Step-by-step explanation:
13*4=52, 4*9=36, 52+36=88
13*7=91, 4*5=20, 91+20=111
There are 6 orange marbles, 2 red marbles, 3 white marbles, and 4 green marbles in a bag. Once a marble is drawn, it IS replaced. Find the probability of selecting 2 orange marbles in a row P(orange, orange). Write your answer as a simplified fraction
Answers
The probability of selecting two orange marbles with replacement is 36/169.
Data;
Orange= 6Red = 2Green = 4Probability with replacementSince after each draw, the orange marble is replaced.
The total number of marbles in the bag is
6+3+4 = 13
And the number of orange marbles is 6.
For the first selection, the probability of selecting one orange is
[tex]P = \frac{6}{13}[/tex]
After drawn and replaced, the probability of selecting another marble is
[tex]P = \frac{6}{13}[/tex]
And the probability of selecting two orange marbles with replacement is
[tex]P = \frac{6}{13} * \frac{6}{13} = \frac{36}{169}[/tex]
The probability of selecting two orange marbles with replacement is 36/169.
Learn more on probability here;
https://brainly.com/question/24756209
Answer number 10 please. Thank you.
Answers
In order to solve number 10:
area of a circle : A=pie * radius (r) squared
A=πr2
Radius is half of a circle and diameter is a full line across a circle
Solve :
A=πr2
A= 3.14 * 11 (radius) 2
1193.0116
Rounded to the nearest whole number is : 1193.
Your answer would be 1193.
Hope that helped! :)
help please
What is the surface area of a cube with an edge of 5 cm?
Answers
Answer:
150 cm^2
Step-by-step explanation:
A cube has 6 surfaces
Each surface square = 5 by 5
So.....
5 x 5 (or 25) times 6
25 x 6 = 150
Hope this helps!
Is the function in this table linear or nonlinear and why?
Answers
Copare use <,>, or =
Answers
Answer:
0.125 = ⅛
Step-by-step explanation:
Both are equal.......
Leah invests money in an account paying simple interest. She invests $180 and no money is added or removed from the investment. After one year, she has $192.60. What is the simple percent interest per year?
Answers
The final statement is: The rate of interest is 7% and simple interest is $12.60
What Is Simple Interest?Simple interest is an interest charge that borrowers pay lenders for a loan. It is calculated using the principal only and does not include compounding interest. Simple interest relates not just to certain loans. It's also the type of interest that banks pay customers on their savings accounts.
Given here: Principal =$180 And amount after one year=$192.60
Therefore simple interest= 192.60-180
=12.60
∴12.60=180×r×1/100
r=7%
Hence, The rate of interest is 7% and simple interest is $12.60
Learn more about simple interest here:
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#SPJ1
The question is in the attachment!!
Answers
[tex] \qquad\quad\hookrightarrow{\sf { 1000(e-1)}}[/tex]
Solution:[tex] \begin{aligned}&\longrightarrow \int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^{999} \int_{k}^{k + 1}e ^{x - |x| }dx \\ \\ &\longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^{999} \int_{k}^{k + 1}e^{x - k}dx \\\\&\longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^{999}e^{x - k \big |_{k}^ {k + 1}} \\ \\& \longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = \sum_{k = 0}^ {999}(e - 1)\\\\&\longrightarrow\int_{0} ^{1000} {e}^{ - |x| }dx = 1000(e - 1)\end{aligned}[/tex]
3 shapes are combined to form a composite figure. a semicircle is on the bottom, and then a small rectangle connects the semicircle to a triangle. how can you decompose the composite figure to determine its area? as three triangles and a circle as two triangles, a rectangle, and a circle as a triangle, a pentagon, and a semicircle as a triangle, a rectangle, and a semicircle
Answers
Answer:
(d) as a triangle, a rectangle, and a semicircle
Step-by-step explanation:
The description of the shape tells you how to decompose it. The shape is described as a semicircle, a rectangle, and a triangle. The appropriate decomposition is ...
as a triangle, a rectangle, and a semicircle
Answer:
d
Step-by-step explanation:
A chocolatier is creating chocolate truffles in the shape spheres. The truffles will be solid chocolate and have a radius of 2.5 cm. How much should each truffle weigh if chocolate weighs 0.71 grams per cubic centimeter? (round to the nearest tenth, if necessary)
The truffles will have a volume of [Answer] cubic centimeters and will weigh a total of [Answer] grams.
Answers
Answer: Volume: 65.4 Weight: 46.4
Step-by-step explanation:
Density describes mass per unit volume. The weight of each of the considered chocolate truffle is 46.47 grams approx.
What is density?Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.
Density = (Total amount available)/(total space which contains that amount)
We're given that:
The chocolate weighs 0.71 grams per cubic centimeter. This is density of the considered chocolate, as it is telling that 0.71 grams of chocolate is available per cubic cm.The chocolate truffles are in shape of sphere with radius 2.5 cmVolume of each chocolate truffle = volume of sphere with radius 2.5 cm
= [tex]\dfrac{4}{3} \pi (2.5)^3 \approx 65.45 \: \rm cm^3[/tex]
One cubic cm has 0.71 grams weight,
so one truffle, which has 65.45 cubic cm of chocolate, will weigh approx[tex]0.71 \times 65.45 \approx 46.47 \: \rm g[/tex]
Thus, the weight of each of the considered chocolate truffle is 46.47 grams approx.
Learn more about density here:
https://brainly.com/question/12630910
Given AB and AC are lines that are tangent to the circle with
the measure of angle BAC = 40°, what is the measure of angle BDC?
Answers
Answer:
C
Step-by-step explanation:
Givens
You are given 2 tangent lines.
You are also given a 4 sided figure.
All 4 sided figures have 360 degrees
A radius meets a tangent at 90 degrees
Formula
<BDA + <DCA + <BCA + <BDC = 360
Solution
90 + 90 +40 + <BDC = 360 Combine
220 + <BDC = 360 Subtract 220 from both sides
220- 220 +BDC =360 - 220
<BDC = 140
Answer: C
The school band sells carnations on Valentine's Day for $3 each. It buys the carnations from a florist for $0.50 each, plus a $15 delivery charge. When will the cost of the carnations be equal to the revenue from selling them? How many carnations does it need to sell to reach this point?
The cost of the carnations will be equal to the revenue when it has sold
_______ carnations. It will reach this point after it sells ______carnations.
Answers
Answer:
6 carnations
Step-by-step explanation:
0.5x +15 = 3x
x = 6
find the HCF of
[tex]5x {}^{2} - 125,x {}^{2} + 25and - 10x[/tex]
Answers
Answer:
Step-by-step explanation:
5x^2 - 125 factors into 5 (x^2 - 25)
x^2 - 25 factors into (x + 5)(x - 5)
So the answer to this part is 5(x + 5)(x - 5)
x^2 - 10x + 25 factors into
(x - 5)(x - 5)
So the HCF is (x - 5)
The figure below is composed of eight circles, seven small circles and one large circle containing them all. Neighboring circles only share one point, and two regions between the smaller circles have been shaded. Each small circle has a radius of 5 cm.
Answers
The figure below is composed of eight circles, seven small circles and one large circle containing them all. Neighboring circles only share one point, and two regions between the smaller circles have been shaded. Each small circle has a radius of 5 cm.
Which quadratic function in vertex form can be represented by the graph that has a vertex at negative 4. . 5. and passes through the point negative 7. . 11. ?
Answers
Answer:
the annswer is 4155 because its in formal information
Step-by-step explanation:
the annswer is 4155 because its in formal information
Find the perimeter of the shape shown below.
Answers
perimeter = turn of the figure
P = 6 + 3 + 4 + 4 + 3 + 6 + 3 + 4 + 3 = 36
the triangle has 2 équal sides => isosceles
and 1 angle is 60° so the triangle is equilateral
What is the volume of this figure?
Enter your answer in the box.
ft³
Answers
Answer:
96
Step-by-step explanation:
L=6
W=2
H=8
LxWxH=8x6x2=96
8x6=48
48x2=96
Answer:
76
Step-by-step explanation:
the answer is 76 because I took the test
The water level at a lake is normally O feet above
sea level. During a flood, the level rose 7 feet. Over
the next two weeks the level had gone down by
12 feet.
a. Write an expression to represent this situation.
b. What level is the water currently at?
Answers
Estimate the difference.
Answers
Answer:
498. 498/6 = 83.
Step-by-step explanation:
helppppppppp meee too simplify this
Answers
Answer:
30,976
Step-by-step explanation:
=}.
[tex](11 {}^{3} \times 4 { }^{2} \binom{}{11 {}^{2} } ) {}^{2} [/tex]
=}.
[tex](11 \times 4 {}^{2} ) {}^{2} [/tex]
=}.
[tex]121 \times (4 {}^{2} ) {}^{2} [/tex]
=}.
[tex]121 \times 256[/tex]
=}. 30,976
Answer:
Answer given above
Step-by-step explanation:
11^2 * 4^4