Answers
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
use Cos for y .... b/c we see that function above has all the pieces we are going to work with
use Sin for x .. for the same reason above
Cos(30) = y / 4[tex]\sqrt{2}[/tex]
4[tex]\sqrt{2}[/tex]Cos(30) = y
4[tex]\sqrt{2}[/tex][tex]\sqrt{3}[/tex]/2 = y
2[tex]\sqrt{6}[/tex] = y
leave the answer for y like that.. it's in 'exact" form
now for x
Sin(30) = x / 4[tex]\sqrt{2}[/tex]
4[tex]\sqrt{2}[/tex]Sin(30) = x
4[tex]\sqrt{2}[/tex]* 1/2 = x
2[tex]\sqrt{2}[/tex] = x
and leave your answer for x like that as it's in it's exact form. :)
oh and I see the answer in the list.. do you? :)
Related Questions
Each of three supermarket chains in the Denver area claims to have the lowest overall prices. As part of an investigative study on supermarket advertising, a local television station conducted a study by randomly selecting nine grocery items. Then, on the same day, an intern was sent to each of the three stores to purchase the nine items. From the receipts, the following data were recorded. At the 0.100 significance level, is there a difference in the mean price for the nine items between the three supermarkets?
Item Super Ralph's Lowblaws
1 $2.32 $1.25 $1.25
2 2.40 1.80 1.87
3 2.10 3.10 3.10
4 2.30 1.87 1.87
5 1.21 1.37 1.37
6 4.04 3.05 1.72
7 4.32 3.52 2.22
8 4.15 3.08 2.40
9 5.05 4.15 4.21
1. State the null hypothesis and the alternate hypothesis.
2. What is the decision rule for both?
3. What is your decision regarding the null hypothesis?
4. Is there a difference in the item means and in the store means?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Item Super Ralph's Lowblaws
1 $2.32 $1.25 $1.25
2 2.40 1.80 1.87
3 2.10 3.10 3.10
4 2.30 1.87 1.87
5 1.21 1.37 1.37
6 4.04 3.05 1.72
7 4.32 3.52 2.22
8 4.15 3.08 2.40
9 5.05 4.15 4.21
H0 : sample mean are equal
H1: sample mean are not equal
Using the Chisquare distribution calculator :
Chisquare :
(Observed - Expected)² ÷ Expected
Chisquare value = 1.759
Degree of freedom (df) = (row - 1) * (column - 1)
Df = (9-1) * (3-1) = 8*2 = 16 at α = 0.10
Pvalue = 0.999
Decision region :
Reject H0 if Pvalue < α
Since, 0.999 > 0.10 ; Then, Fail to reject H0
Hence, there is no difference in the mean price and the store means.
The question that is asked
Answers
Answer:
the answer is 35.0° pls thank :)
How much interest does a $482 investment earn at 5.5% over three years?
Answers
Answer:
Answer is 80192.75
Step-by-step explanation:
It's easy, I just used a calculator and I multiplied 482 x 5.5 three times since it's three years. Have a good day and I hope I helped you today!!!
2. Ronu's present age is "x “years and her sister Shaani's present age is twice
of Ronu's age. Write following as algebraic expression
a) Ronu's present age
b) Ronu's age after 2 years
c) Shaani's present age
d) Shaani's age after 2 years
What hould be added to 100 to get - 132
Answers
Answer:
x = -232
Step-by-step explanation:
Ronu's present age is "x “years and her sister Shaani's present age is twice of Ronu's age.
(a) Ronu's present age = x years
(b) Ronu's age after 2 years = (x+2) years
(c) Shaani's present age = 2x years
(d) Shaani's age after 2 years = (2x+2) years
Let x should be added to 100 to get -132.
x+100 = -132
x = -100-132
x = -232
Hence, -232 must be added to 100 to get -132.
Mark thinks the equation y= 4^x will match the solid
graph. Mia thinks it will match the dotted graph.
Who is correct?
Mark
Mia
Both
Neither
Explain your thinking
Answers
Answer:
Mark
Step-by-step explanation:
because when x = 0; y = 1
x=1; y=4
and those points are on the solid line graph.
The thought of Mark is correct.
What are Exponential Functions?Exponential functions are functions where the independent variable, x is in the exponent.
Given a graph.
It has a solid line and a dotted line.
The given equation is, y = 4ˣ.
In order to find which graph shows the equation, find the points that the graph of the equation will pass through.
When x = 0, y = 4⁰ = 1
Solid graph passes through (0, 1).
Hence Mark is correct.
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DJ Titus is making a playlist for a radio show; he is trying to decide what 10 songs to play and in what order they should be played. Step 1 of 2 : If he has his choices narrowed down to 7 blues, 7 disco, 5 pop, and 7 reggae songs, and he wants to play no more than 4 reggae songs, how many different playlists are possible
Answers
Answer:
Different playlists possible = 18287141644800
Step-by-step explanation:
Given - DJ Titus is making a playlist for a radio show; he is trying to
decide what 10 songs to play and in what order they should be
played.
Step 1 of 2 : If he has his choices narrowed down to 7 blues,
7 disco, 5 pop, and 7 reggae songs.
To find - He wants to play no more than 4 reggae songs.
How many different playlists are possible ?
Proof -
Given that he wants to play no more that 4 reggae songs.
So the possibility of choice of reggae song is 0, 1, 2, 3, 4
Now,
Case I -
If 0 reggae song is selected
⇒All 10 songs selected from 7 blue, 7 disco, 5 pop,
Number of ways = ¹⁹C₁₀ ₓ ⁷C₀ = 92,378
Case II -
If 1 reggae song is selected
⇒All 9 songs selected from 7 blue, 7 disco, 5 pop,
Number of ways = ¹⁹C₉ ₓ ⁷C₁ = 646,646
Case III -
If 2 reggae song is selected
⇒All 8 songs selected from 7 blue, 7 disco, 5 pop,
Number of ways = ¹⁹C₈ ₓ ⁷C₂ = 1,587,222
Case IV -
If 3 reggae song is selected
⇒All 7 songs selected from 7 blue, 7 disco, 5 pop,
Number of ways = ¹⁹C₇ ₓ ⁷C₃ = 1,763,580
Case V -
If 4 reggae song is selected
⇒All 6 songs selected from 7 blue, 7 disco, 5 pop,
Number of ways = ¹⁹C₆ ₓ ⁷C₄ = 949,620
So,
Total possible ways = 92,378+ 646,646+ 1,587,222+ 1,763,580+ 949,620
= 5,039,446
⇒Total possible ways = 5,039,446
Now,
Also the 10 songs selected can arranged themselves in 10! ways. ( because order of song played does not matter )
∴ we get
Different playlists possible = 10! × 5,039,446
= 18287141644800
⇒Different playlists possible = 18287141644800
A two-sample t-test will be conducted to investigate whether the mean number of tickets sold for children each day is less at movie theater J than at movie theater K. From a random sample of 50 days at theater J, the average was 75 children tickets with standard deviation 12. From a random sample of 60 days at theater K, the average was 85 children tickets with standard deviation 14. Under the assumption that there is no difference in the population means (J minus K), what is the appropriate test statistic for the test?
Answers
Answer:
The solution is in attachment section
2.) Ms. Baker is out today. When she returns she hopes to see 100% of her 70
students to have completed and turned their work assigned by the sub. How
many students does Ms. Baker hope have their work assigned by the sub
completed and turned in?
Answers
Answer:
70
Step-by-step explanation:
100% means all of them.
Mr Ross told his class that the class pet hamster is 1/3 foot long. How long is the pet hamster in inches? (1 ft = 12in)
Finish solving blanks to answer the original question:
1/3 ft = 1/3 x 1ft
= 1/3 x 12 in
= _ in
The hamster is _ inches long
Answers
Answer:
4 inches
Step-by-step explanation:
Answer:
4 inches
Step-by-step explanation:
If 1ft= 12 inches
then 1/3ft= ?
cross multiply
12*1/3= 4
=4 inches
Reviews of call center representatives over the last three years showed that 10% of all call center reps were rated as outstanding, 75% were rated as excellent/good, 10% percent were rated as satisfactory, and 5% were considered unsatisfactory. For a sample of 20 reps selected at random, the probability that two or less will be rated as outstanding is 0.9298.
A. True
B. False
Answers
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Between -2 and 1: 0.5, -0.5
Above 1: 1.5, 4
Hope this helps!
Does this graph represent a function?
Answers
please help me!! thank youu!!!
Answers
Answer:
24
Step-by-step explanation:
Area of a triangle
A = 1/2 bh
b=12
h=4
A= 1/2 * 12 * 4
A = 24
solution to the inequality 2b + 8 < 12 ? *
Answers
Answer:
abcdefghmea aab is the breadth and comment of a student
Triangle A'B'C'is the image of triangle ABC under a rotation about the origin. (0,0)
determine the angle of rotation
a. -105
b. -75
c. 75
d. 105
Answers
9514 1404 393
Answer:
b. -75°
Step-by-step explanation:
Point A moves from (-4, -3) to (-4, 3). We can find the angle of rotation several ways. One is to consider the tangent of the angle relative to the x-axis.
Point A is on a line that makes an angle to the x-axis of ...
∠A = arctan(-3/-4) = 36.9°
Point A' is on a line that makes an angle to the x-axis of ...
∠A' = arctan(3/-4) = -36.9°
Then the change in angle is ...
∠A' -∠A = -36.9° -36.9° = -73.8°
The closest answer choice is ...
b. -75°
1. Explain how to write 1.25 divided by 0.8 three ways.
Answers
Answer:
Step-by-step explanation:
1.25/.8=a
[tex]\frac{5}{4} /\frac{4}{5}[/tex]
1.25/4/5
Help me answer this for brainliest
Answers
Answer:
question 1(2)
answer 4
question 2(3)
answer 1
question 3(4)
(a)6; factored
(b)7; factored
c(8); factored
Apply the distributive
property to write
equivalent expressions in
expanded form.
4(h+6) 7(3h + 3)
Answers
Answer:
25h + 45
Step-by-step explanation:
4(h+6) 7(3h+3)
4h + 24 21h + 21
25h + 45
I have $8$ pieces of strawberry candy (all identical) and $7$ pieces of rhubarb candy (all identical). Find the number of ways I can distribute this candy to $5$ children.
This is a math question,
Please Solve Correctly.
Answers
Given:
Number of strawberry candy = [tex]\bold{8\ pieces}[/tex]
Number of rhubarb candy = [tex]\bold{7 \ pieces}[/tex]
Find the number of ways for equally distributing candy to all 5 children
Using formula:
[tex]\to \bold{_{n} C_{r}=\frac{n !}{r!(n-r) !}}[/tex]
Calculating the distributing way for strawberry candy:
[tex]\to \bold{_{8} C_{5}=\frac{8 !}{5!(8-5) !}}[/tex]
[tex]\bold{=\frac{8 !}{5! \ 3 !}}\\\\\bold{=\frac{8 \times 7 \times 6 \times 5!}{5! \ 3 \times 2\times 1}}\\\\\bold{=\frac{8 \times 7 \times 6 }{ 6}}\\\\\bold{=8 \times 7}\\\\\bold{=56}[/tex]
Calculating the distributing way for rhubarb candy:
[tex]\to \bold{_{7} C_{5}=\frac{7 !}{5!(7-5) !}}[/tex]
[tex]\bold{=\frac{7 !}{5! \ 2 !}}\\\\\bold{=\frac{7 \times 6 \times 5!}{5! \ 2\times 1}}\\\\\bold{=\frac{ 7 \times 6 }{ 2}}\\\\\bold{=7 \times 3}\\\\\bold{=21}[/tex]
Adding both distributing ways:
[tex]\to \bold{56+21=77}[/tex] ways
Learn more:
probability: brainly.com/question/23044118
A group of researchers investigated the effects of bed room lighting conditions in developing eye sight problems and found that A) Of a total of 202 children who slept in darkness, 12 percent were nearsighted. B) Of a total of 333 who slept with a nightlight, 44 percent were nearsighted, and C) Of a total of 90 who slept with a lamp on, 65 percent were nearsighted. After data was collected, researchers realized that they forgot to formulate a hypothesis. Your task is to 1. Write a Directional hypothesis for this study 2. Write a Non directional hypothesis for this study 3. Identify the control group of this study 4. Identify experimental group(s) of this study 5. Identify dependent and independent variables of this study
Answers
Answer:
Step-by-step explanation:
From the given information:
We are to find the following:
1)
Directional hypothesis: The directional hypothesis is the groups with different bedroom lightning conditions having a different proportion of eyesight proportions.
2)
The non directional hypothesis is each group having the same proportion of eyesight problems regardless and independent of the condition of the bedroom lightning.
3)
Control group: Children that slept in darkness
4)
Experimental groups: Children that slept in night light and those that slept with lamp.
5)
Independent variable: Light condition of the bedroom
Dependent variable: Eye sight problem.
The line plot shows the distances in miles, run by joggers in a park.
Х
X
Х
Х
Х
Х
Х
Х
Х
X
0
1
2
3
4
5
6
7
8
9
How many runners ran at least 3 miles?
Enter your answer in the box
runners
Answers
Answer:
but i think is 2x
Step-by-step explanation:
hecause 2x
4x divided by 2x=2x
What is the solution to the inequality? -3x - 14 < -5
Answers
Answer:
-3x - 14 < -5
-3x < 9 (14 - 5)
x < 9: (-3)
x < -3
=> x = { -4, -5, -6, ...}
Step-by-step explanation:
12,18,27,...
What is the 7th term in the sequence?
Answers
Answer:
[tex]T_7 = 136.6875[/tex]
Step-by-step explanation:
Given
12, 18, 27, ..
Required
Determine the 7th term
The above sequence shows a geometric sequence and the nth term is calculated by:
[tex]T_n = a * r^{n-1[/tex]
r is calculated by:
[tex]r = \frac{T_2}{T_1}[/tex]
[tex]r = \frac{18}{12}[/tex]
[tex]r = 1.5[/tex]
[tex]a = 12[/tex] --- First term
[tex]n = 7[/tex]
So:
[tex]T_n = a * r^{n-1}[/tex]
[tex]T_7 = 12 * 1.5^{7-1[/tex]
[tex]T_7 = 12 * 1.5^6[/tex]
[tex]T_7 = 136.6875[/tex]
Solve for x
Pls help
Answers
Step-by-step explanation:
collect the like terms 12x+4=9x+8
12x-9x=8-4
3x=4
X=1.333
Answer:
8
Step-by-step explanation:
As both angles are corresponding their sum will be 180➝12x+4+9x+8=180
➝12x+9x+4+8=180
➝21x+12=180
➝21x=180-12
➝21x=168
➝x=168/21
➝x=8
If anyone could help with this
Answers
What is the volume of the cone to the nearest subic meter. r=4 h=5
A.)21m3
B.)84m3
C.)168m3
D.)335m3
Answers
Answer:
B.) 84m3
Step-by-step explanation:
V = 1/3 pi r2 h
1/3 × 22/7 × 4 × 4 × 5
84m3
Someone solve for x pls
Answers
Answer:
Possibly wrong but 13.66?
Answer:
√8
Step-by-step explanation:
a^2 + b^2 = 4^2
a^2 + b^2 = 16
a^2 = b^2
a^2 = 8
a & b = √8
Brainilist Maybe?
If <2 = 75 degrees and <3 = 30 degrees, find <3 and <4.
Answers
Answer:
angle 3 is 30 and 4 is 150 because total angle is 180 between 3 and 4
What are some of the factors that would influence your insurance costs?
OA. Your gender.
OB. Where you live.
OC. The type of car you drive.
OD. All of the above.
Answers
Answer:
D. All of the above
Step-by-step explanation:
Insurance costs are influenced by any factor that can reasonably be tied to the cost of claims made against an insurance policy. These costs are carefully analyzed by insurance companies to determine correlations that may be influential.
__
In general, women have different driving habits than men, so gender has an influence on insurance costs.
Some areas of a city have different statistics related to vandalized or stolen vehicles, so may influence insurance costs. Certain areas may have different accident statistics, or may experience different kinds of accidents, so repair costs may differ by where you live or where you drive.
Some cars are more expensive to repair than others. Any car with custom features (stereo, upholstery, paint) will likely cost more to repair (and may be subject to more vandalism).
So, all of the above influence insurance costs.
Select all the studies in which the results may have been skewed by bias.
a study of the popularity of a particular music genre, with a small standard deviation about the mean
a study on the heights of a group of fourth graders, where 90% of the data fell below the population mean
a study of the average annual rainfall, with 28% of the data having a z-score greater than 1
a study on employees’ commute time, with 90% of the data falling within 1 standard deviation of the population mean
a study with a significantly larger than expected standard deviation about the sample mean
a study on the average life span of a type of plant, where 50% of the data fell above the population mean
Answers
The studies in which the results may have been skewed by bias.
A study of the popularity of a particular music genre, with a small standard deviation about the mean.What is a skewed (biased) result?Others are:
A study on the average life span of a type of plant, where 50% of the data fell above the population mean.
A skewed or (biased) result, is known to often occur even if there was an accurate that is unbiased algorithm that is said to be seen as skewed (biased) data.
Note that when you If you wrongly remove or include some participants in your research, you can be able to get skewed data results.
Learn more about bias from
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