Answer:
Step-by-step explanation:
Tan(theta) = Sin(theta) / cos(theta)
1/4 = sin(theta) / sqrt(1 - sin^2(theta) ) Cross multiply
sqrt(1 - sin^2(theta)) = 4*sin^2(theta) Square both sides.
1 - sin^2(theta) = 16 * sin^4 (theta) Transfer the left side to the right side.
0 = 16 sin^4(theta) + sin^2(theta) - 1
Use the quadratic formula to find a value for sin^2(theta)
a = 16
b = 1
c = - 1
I'll leave solving the quadratic to you.
There are two answers
sin^2(theta)= .22069
The other root is - 0.28 which you cannot use.
Sin(theta) = +/- 0.4698
Cos(theta) is < 0 in quads 2 and 3
So sin(theta) is positive in quad 2
and sin(theta) is minus in quad 3
16+8+4+2+1+1/2+1/4+1/8+....
Find the sum of the infinite geometric series.
Answer:
31 7/8
16+8=24
4+2=6
2/4+1/4=3/4+1/8=7/8
Triangle ABC is graphed in the coordinate plane with vertices A(1, 1); B(3, 4) and C(- 1, 8) as shown in the figure.
Answer:
(-4,-2)
Step-by-step explanation:
B(3,4)
x=3 , y=4
(3-7,4-6)
(-4,-2)
Transformation involves changing the position of a shape.
The coordinates of B after the translation is (-4,-2)
The vertices are given as:
[tex]\mathbf{A =(1,1)}[/tex]
[tex]\mathbf{B =(3,4)}[/tex]
[tex]\mathbf{C =(-1,8)}[/tex]
The translation rule is given as:
[tex]\mathbf{(x-7,y-6)}[/tex]
So, the coordinates of B' is calculated using:
[tex]\mathbf{(x,y) \to (x-7,y-6)}[/tex]
This gives
[tex]\mathbf{(3,4) \to (3-7,4-6)}[/tex]
[tex]\mathbf{(3,4) \to (-4,-2)}[/tex]
Rewrite as:
[tex]\mathbf{B' = (-4,-2)}[/tex]
Hence, the coordinates of B after the translation is (-4,-2)
Read more about translations at:
https://brainly.com/question/12463306
Explain what is meant when it is said that "data vary". How does the variability affect the results of statistical analysis? Choose the correct answer below. A. Saying "data vary" means that examining different types of subjects will yield different data, such as examining a person and examining a car. Because data vary, it is impossible to compare different types of subjects, such as comparing people and cars. B. Saying "data vary" means that the values of the variable change every time they are observed. Because data vary, each statistical analysis of a given variable will lead to different results. C. Saying "data vary" means that the values of the variable change from individual to individual. In addition, certain variables can change over time for certain individuals. Because data vary, two different statistical analysis of the same variable can lead to different results. D. Saying "data vary" means that observations can be measured with fractions or decimals instead of only integers. Because data vary, it is important to make sure to accurately account for fractional observations.
Answer:
C. Saying "data vary" means that the values of the variable change from individual to individual. In addition, certain variables can change over time for certain individuals. Because data vary, two different statistical analysis of the same variable can lead to different results.
Step-by-step explanation:
Variation in data may be explained as the non-uniformity in the values assigned to each individual variable in the data table. As a result of the non-uniformity or differences which exists in the values assigned to individual variables or changes due over time. This will usually lead to differences in the statistical result obtained when data undergoes analysis.
plz help i will give brainliest!! and if you post a link im going to report you
Answer:
hey, sorry i cant see the image so whats the problem here? i would gladly help!
Step-by-step explanation:
15. Two samples of 126 people were surveyed
online and were asked, "Which is your favorite
flavor of drink?" The results are displayed below
Which choice is an inference that can be made
based on the survey results?
A More people prefer Grape over Orange
B Grape is preferred 18 to lover Cherry
C Cherry is preferred 26 to lover Tropical
Punch
D Sixteen times as many people prefer Orange
over Cherry
Answer:
Step-by-step explanation:
It’s b
When the two crews start working together, what part of all the garbage bins will the first garbage truck empty
Find 12÷3/5 type your response
Answer:
20
Step-by-step explanation:
I need the answers for this question please
its triangle and 7.3 and 23.7 hope this helps
Solve for the value of a
Answer:
a= 90 i think
hope this helped
HURRY!!!!!!!!!!!!!!!!!! A stack of cards contains 21 red cards and 17 black cards. what are the odds against drawing a red card? a.17:21 b. 21:17 c. 17:28 D.28: 17
Answer:
the answer should be ( b ) if I did this correctly
Which expressions are not equivalent
? Thanks!
Answer:
D
Step-by-step explanation:
There is no 2x in D answer
Solve the equation 5+N =125 where n = 14
Answer:
this question doesn5t make sence
Step-by-step explanation:
Answer:
please explainn
Step-by-step explanation:
7
Identify the vertex, axis of symmetry,
and y-intercept.
f(x) = -1 (x + 4)2 – 5
Vertex:
Axis of symmetry:
y-intercept:
If the lengths of male skis and female skis are used to construct a 95% confidence interval for the difference between the two population means, the result is 14.32cm < μ1 - μ2 < 21.95 cm, where lengths of male skis correspond to population 1 and lengths of female skis correspond to population 2. Express the confidence interval with the lengths of female skis being population 1 and lengths of male skis being population 2.
a. - 14.32 cm <μ1−μ2<−21.95
b. -21.95 cm <μ1−μ2<−14.32
c. 14.32 cm <μ1−μ2<21.95
d. This cannot be determined without having the original data values.
Answer:
c
Step-by-step explanation:
Pls pls help! I need it to bring my grade back up!!
Answer:
use photo math
Step-by-step explanation:
go to gogle play if you have android, look for the a search bar it is usually on the top right. type in photo math in the key pad. install it
Help ASAP will give brainlist
Answer:
4/25 (Srr if incorrect)
Step-by-step explanation:
WILL
GIVE
BRAINLIST ANSWER
Answer:
22 is the range for the data set.
stay safe healthy and happy."Last week you sold 30, 45, 50, 75, and 80 units each day of the week, in that order. On average, how many units did you sell per day?
Answer:
56
Step-by-step explanation:
Average = sum/count
sum = 30 + 45 + 50 + 75 + 80
sum = 280
Count = 5
Average = 280/5
Average = 56
Answer:
56
Step-by-step explanation:
30+45+50+75+80=280
280÷5 days =56 units per day
Solve the problem. Use the Central Limit Theorem. (7) 6) The annual precipitation amounts in a certain mountain range are normally distributed with a mean of 109 inches, and a standard deviation of 10 inches. What is the probability that the mean annual precipitation during 25 randomly picked years will be less than 111.8 inches
Answer:
The answer is "0.9192".
Step-by-step explanation:
[tex]\mu=109\\\\\sigma=10\\\\n=25\\\\\to P(\bar{x}< 111.8)=P(\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}} < \frac{111.8-109}{\frac{10}{\sqrt{25}}})\\\\[/tex]
[tex]=P(2<1.4)\\\\=\phi (1.4)\\\\=0.9192[/tex]
28518
43600
兄YTON
g3627
PLEASE HELP! I WILL GIVE BRAINLIEST! Determine whether the statement is always, sometimes, or never true.
13. If a triangle is acute triangle, then it is an equilateral triangle.
14. If a triangle has two acute angles it must be an acute triangle. 15.An obtuse triangle can have a right angle.
Answer:
Step-by-step explanation:
13. All equilateral triangles are acute triangles. An equilateral triangle has three sides of equal length and three equal angles of 60.~ I think it is False.
14. If a triangle has two acute angles, then the third angle must also be acute.~ I think it is true.
15. A triangle cannot be right-angled and obtuse angled at the same time. Since a right-angled triangle has one right angle, the other two angles are acute. Therefore, an obtuse-angled triangle can never have a right angle; and vice versa. ~I think it is false.
Please don't trust me... I hope I helped
~LampteyJ
Simplify 5(2y+6)+(-24y)
Answer:
-14y + 30
Step-by-step explanation:
Tell me if I am wrong but I think this is it.
Answer:
-14y+30
Step-by-step explanation:
Hope this helpss
Suppose we have two thermometers. One thermometer is very precise but is delicate and heavy (X). We have another thermometer that is much cheaper and lighter, but of unknown precision (Y). We would like to know if we can (reliably) bring the lighter thermometer with us into the field. So, we set up an experiment where we expose both thermometers to 31 different temperatures and measure the temperature with each. We get the following observations
x = 0, 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120
y = 0.02, 3.99, 7.91, 12.03, 16.09, 20.00, 23.98, 28.09, 31.94, 36.03, 40.00, 44.05, 47.95, 52.00, 55.87, 59.90, 63.91, 67.95, 72.11, 76.02, 80.01, 84.10, 88.06, 91.74, 96.02, 99.95, 103.87, 108.01, 111.99, 116.04, 120.03
We want to decide if these thermometers seem to be measuring the same temperatures. Let's use the thershold α= 0.1.
Required:
Write down the appropriate hypothesis tests for β1.
Answer:
a)H0: β1= 1 and Ha: β1 ≠1
b) The test statistic is____.t= b- β/ sb
c) The p-value is____.0.999144
(d) Therefore, we can conclude that:_____. there is not enough evidence to reject the null hypothesis.
The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.
Step-by-step explanation:
This is called testing hypotheses about β, the population regression co efficient.
The null and alternate hypotheses are
H0: β1= 1 and Ha: β1 ≠1
The significance level is ∝=0.1 and ∝/2 is 0.05
The critical region at t ∝/2 (29)= t ≤ - 1.699 , t ≥ 1.699
The test statistic is
t= b- β/ sb
which has t distribution with υ= 31-2= 29 degrees of freedom.
Calculations
Ŷ = a +bX
b = SPxy /SS x= Σ(xi-x`)(yi-y`)/Σ(xi-x`)²
b = 39671.6/39680= 0.9998
a = y` - bx`
x`= 60
y`= 59.989
a = 59.989 -0.9998*60 = 0.001734
Syx²= Σ( yi -y`)²/ n-2= 39663.3857/ 29=1367.68965
Syx= 36.9822
Sb= Syx/ √∑ (x-x`)²
Sb= 36.9823/ √39680
Sb= 36.9823/ 199.984
Sb= 0.18493
x-x` y-y` (x-x`)² (x-x`)(y-y`)
-60 -59.969 3600 3598.1419
-56 -55.999 3136 3135.9458
-52 -52.079 2704 2708.1097
-48 -47.959 2304 2302.0335
-44 -43.899 1936 1931.5574
-40 -39.989 1600 1599.5613
-36 -36.009 1296 1296.3252
-32 -31.899 1024 1020.769
-28 -28.049 784 785.3729
-24 -23.959 576 575.0168
-20 -19.989 400 399.7806
-16 -15.939 256 255.0245
-12 -12.039 144 144.4684
-8 -7.989 64 63.9123
-4 -4.119 16 16.4761
0 -0.08903 0 0
4 3.921 16 15.6839
8 7.961 64 63.6877
12 12.121 144 145.4516
16 16.031 256 256.4955
20 20.021 400 400.4194
24 24.111 576 578.6632
28 28.071 784 785.9871
32 31.751 1024 1016.031
36 36.031 1296 1297.1148
40 39.961 1600 1598.4387
44 43.881 1936 1930.7626
48 48.021 2304 2305.0065
52 52.001 2704 2704.0503
56 56.051 3136 3138.8542
60 60.041 3600 3602.4581
∑0 0 39680 (SSx) 39671.6 (SPxy)
Putting the values
The test statistic is
t= b- β/ sb
t= 0.9998-1/ 0.18493
t=-0.0010815
Since the calculated t=-0.0010815 does not lie in the critical region t ∝/2 (29)= t ≤ - 1.699 , t ≥ 1.699 we conclude that these thermometers seem to be measure temperatures.
The p-value is ≈ 0.999144
there is not enough evidence to reject the null hypothesis.
!!!!PLEASE HELP!!!
WILL MARK BRAINLIEST!!!:)
What is the value of x in this triangle?
58
32
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth.
x=
Answer:
a^2 + b^2 = c^2
a^2 + 32^2 = 58^2
a^2 + 1024 = 3364
a^2 = 2340
a = 48.37
Step-by-step explanation:
Answer:
x = 33.49
Step-by-step explanation:
I took the the test and got this answer, sorry for the not so detailed explanation
have a decent day
A new car is purchased for $30,000 and over time its value depreciates by one half
every 5 years. What is the value of the car 11 years after it was purchased, to the
nearest hundred dollars?
Answer:
Step-by-step explanation:
6600
The car is about $6529.12 eleven years after it was bought.
What is an exponent?The formula below can be used to determine a car's value after a particular number of years if its value depreciates by half every five years:
[tex]\rm P=P_{\circ} \left ( \dfrac{1}{2} \right)^{x/5}[/tex]
Here, x is how long ago the car was bought.
With x = 11 and a starting value of $30,000, this calculation yields:
[tex]\rm P=$30,000 \times \left ( \dfrac{1}{2} \right)^{11/5}\\[/tex]
Simplify the equation, then we have
P = $30,000 x 0.2176
P = $6529.12
The car is about $6529.12 eleven years after it was bought.
More about the exponent link is given below.
https://brainly.com/question/5497425
#SPJ2
Please help me I don’t get this !
Answer: Independent
Step-by-step explanation: I think this is probability..I assume it's probability right?
Pam says that the temperature of liquid drops more in the first three minutes of cooling then it does between time nine minutes and time 12 minutes. Is pam correct give a reason for your answer
Answer:
Pam is correct!
Step-by-step explanation:
Pam is correct it would be between nine minutes and 12!
what's the answer to this? (freckle)
Answer:
2/3
Step-by-step explanation:
Identify the following fractions as either proper or improper. 8. 14⁄ 15
Answer:
proper I believe if I'm wrong sorry
100 POINTS HELP!
I WILL GIVE BRAINLIEST TO THE BEST ANSWER
FAKE ANSWERS WILL BE REPORTED
Answer:
Solution given:
AB parallel BH parallel CH
1.
In triangle ∆AFD ,∆BGD ,∆CHD
<AFD=<BGD=<CHD
[being corresponding angle]
<DAF=<DBG=<DCH
[being corresponding angle]
<D is common for all.
So
∆AFD ~∆BGD ~∆CHD
[By A .A .A. axiom]