Angle Relationships
For the triangle above, find sin B.
a. 25°
b. 0.385
c. 0.923
d. 18°
Please select the best answer from the choices provided
Answers
Answer:
c
Step-by-step explanation:
12/13=0.923 , and also sinb is ac/ab
Answer:
C. 0.923
Step-by-step explanation:
I calculated it logically
Related Questions
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.
Answers
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.
7
Identify the vertex, axis of symmetry,
and y-intercept.
f(x) = -1 (x + 4)2 – 5
Vertex:
Axis of symmetry:
y-intercept:
Answers
Axis of symmetry :1
Y-intercept : (0,13)
Which ordered pair is a solution to the equation? y=x3/4
(8, 6)
(−8, 8)
(6, 8)
(−4, 1)
Answers
Answer:
(8,6)
Step-by-step explanation:
y=x3/4
y=8(3/4)
y=24/4
y=6
when you input 8 for x, you get 6 for y.
Answer:
Step-by-step explanation:
y = x3/4 is ambiguous. I will assume that you meant
x^3
y = ---------
4
Then, if x = 8, y = 128 (not a solution)
If x = -8, y = -128 (not a solution)
If x = 6, y = 54 (not a solution)
If x = -4, y = -1/4 (not a solution)]
Ensure that you have copied down this problem correctly.
16+8+4+2+1+1/2+1/4+1/8+....
Find the sum of the infinite geometric series.
Answers
Answer:
31 7/8
16+8=24
4+2=6
2/4+1/4=3/4+1/8=7/8
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
Answers
Answer:
Step-by-step explanation:
It’s b
Carl bought 24 daisies and roses. Daisies cost $0.25 each and roses cost $0.90 each. If
Carl spends a total of $16.40, how many daisies did he get and how many roses did he
get?
Answers
Answer:
Roses= $8.4
Daises= $15.6
Step-by-step explanation:
Let represent the daises and let r represent d roses
r + d= 24....equation 1
0.25r + 0.90d= 16.40.......equation 2
r= 25-d
Substitute 25-d for r in equation 2
0.25(25-d) + 0.90d= 16.40
6.25-0.25d+0.90d= 16.40
6.25+0.65d= 16.40
0.65d= 16.40-6.25
0.65d= 10.15
d= 10.15/0.65
d = 15.6
Sub 15.6 for d in equation 1
r+d= 24
r+15.6= 24
r= 24-15.6
= 8.4
Price of daises is $15.6
Roses is $8.4
When the two crews start working together, what part of all the garbage bins will the first garbage truck empty
Answers
Cast Iron Company, on each nondelinquent sale, receives revenues with a present value of $1,230 and incurs costs with a value of $1,065. Cast Iron has been asked to extend credit to a new customer. You can find little information on the firm, and you believe that the probability of payment is no better than 0.77. But if the payment is made, the probability that the customer will pay for the second order is 0.94. It costs $15.25 to determine whether a customer has been a prompt or slow payer in the past.
Calculate the minimum probability at which credit can be extended. (round answer 2 decimal places)
Answers
Answer:
[tex]P=0.866[/tex]
Step-by-step explanation:
From the question we are told that:
Present value of iron [tex]x_v=\$1230[/tex]
Present cost of iron [tex]x_c=\$1065[/tex]
Probability of payment [tex]P_p=0.77[/tex]
Probability that the customer will pay for the second order [tex]P_s=0.94[/tex]
Cost of knowing customer status [tex]x_k=\$15.25[/tex]
Generally the equation for Expected probability [tex]E_p[/tex] is mathematically given by
[tex]E_p=(probability*(revenue-cost)-(1-probability)*present\ value\ of\ cost)[/tex]
[tex]E_p=(P*(x_v-x_c)-(1-P)*X_c)[/tex]
Where
[tex]E_p=0[/tex]
[tex]P=minimum\ probability\ at\ which\ credit\ can\ be\ extended[/tex]
Therefore
[tex]0=(P*(1230-1065)-(1-P)*1065)[/tex]
[tex]165P-1065+1065P=0[/tex]
[tex]P=\frac{1065}{1230}[/tex]
[tex]P=0.866[/tex]
Therefore the minimum probability at which credit can be extended is given as
[tex]P=0.866[/tex]
[tex]P=86.6\%[/tex]
Write an equation in slope-intercept form for the following line:
(-14,1) and (13,-2)
Answers
Answer:
[tex] \large \boxed{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]
Step-by-step explanation:
In order to find an equation of a line with two given ordered pairs. We have to find a slope first which we can do by using the formula below.
[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]
m-term is defined as slope in y = mx+b form which is slope-intercept form.
Now we substitute these ordered pairs (x, y) in the formula.
[tex] \large{m = \frac{1 - ( - 2)}{ -14 - 13} } \\ \large{m = \frac{1 + 2}{ - 27} } \\ \large{m = \frac{3}{ - 27} = - \frac{1}{9} }[/tex]
After we calculate for slope, we substitute m-value in slope-intercept form. The slope-intercept form is
[tex] \large \boxed{y = mx + b}[/tex]
We already know m-value as we substitute it.
[tex] \large{y = - \frac{1}{9} x + b}[/tex]
We are not done yet because we need to find the b-term which is our y-intercept. (Note that m-term is slope while b-term is y-intercept)
We can find the y-intercept by substituting either (-14,1) or (13,-2) in the equation. I will be using (13,-2) to substitute in the equation.
[tex] \large{y = - \frac{1}{9} x + b} \\ \large{ - 2 = - \frac{1}{9} (13) + b} \\ \large{ - 2 = - \frac{13}{9} + b} \\ \large{ - 2 + \frac{13}{9} = b} \\ \large{ - \frac{5}{9} = b}[/tex]
Finally, we know b-value. Then we substitute it in our equation.
[tex] \large{y = - \frac{1}{9} x + b} \\ \large{y = - \frac{1}{9} x - \frac{5}{9} }[/tex]
Triangle ABC is shown on the grid. What is the perimeter of triangle ABC? A(-1,5) B (4, 5) C (-1,1). A 9+ sqr21 units. B 9+sqt29 units. C 9+ sqr41 units. D 9+ sqr61 units
Answers
Answer:
C, 9+ the square root of 41
Step-by-step explanation:
got it right on edge :)
If one data point is 36, which point would make 48 the mean?
Answers
what's the answer to this? (freckle)
Answers
Answer:
2/3
Step-by-step explanation:
Identify the following fractions as either proper or improper. 8. 14⁄ 15
Answers
Answer:
proper I believe if I'm wrong sorry
An online furniture store sells chairs for $200 each and tables for $500 each. Every day, the store can ship no more than 29 pieces of furniture and must sell at least $8800 worth of chairs and tables. If 14 chairs were sold, determine all possible values for the number of tables that the store must sell in order to meet the requirements. Your answer should be a comma separated list of values. If there are no possible solutions, submit an empty answer.
Answers
Answer:
12, 13 ,14 ,15
Step-by-step explanation:
200x14=2,800
8,800-2,800=6,000
6,000/500=12
12+14=26
13+14=27
14+14=28
14+15=29
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
Answers
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]
Corny the jet pilot heads his jet due cast. The jet has a speed of 440 mph relative to the
air. The wind is blowing due north with a speed of 35 mph.
(a) Express the velocity of the wind as a vector in component form.
(b) Express the velocity of the jet relative to the air as a vector in component form.
(c) Find the true velocity of the jet as a vector,
(d) Find the true speed and direction of the jet.
Answers
f(x) = - 2x - 3
g(x) = 3x + 1
Find (f. g)(x).
Answers
neeeeeeeeeeeeed help
Answers
Answer:
[tex]\huge\boxed{\fcolorbox{green}{pink}{Answer}}
[/tex]
D. 34 lakh
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
Answers
Answer:
Pam is correct!
Step-by-step explanation:
Pam is correct it would be between nine minutes and 12!
g(x)=2x
h(x)=4x-3
Find (g-h)(2)
Answers
Answer:
-1
Step-by-step explanation:
g(x) = 2x
h(x) = 4x - 3
(g - h)x = g(x) - h(x)
g(x) - h(x) = 2x - 4x + 3
g(2) - h(2) = 2*2 - 4*2 + 3
g(2) - h(2) = -4 + 3
g(2) - h(2) = - 1
A BIT OF HELP HERE- PLEASEE
Answers
Answer:
Solution given:
G=-17
H=5
distance =-17-5=-22
since distance is always positive so
distance between GH: 22 units.
Location
G=-17H=5Find distance
|-17-5||-22|22unitsWhich expressions are not equivalent
? Thanks!
Answers
Answer:
D
Step-by-step explanation:
There is no 2x in D answer
"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?
Answers
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
What is the mode of the data below?
45, 19, 23, 67, 28, 35, 46, 21, 58, 60, 23, 51
Answers
Answer:
23
Step-by-step explanation:
have a good day :)
Amys older brother works 35 hours each week. if he works 18 dollars an hour how much does he earn in one week.
Answers
Answer:
$630 per week
Step-by-step explanation:
I assume the question is asking:
Amy's older brother works 35 hours per week. If he is paid $18 per hour, how much does he earn in one week?
$18/hour* 35 hours/week = $630/week
A janitor can clean 1/9 of a stadium in 1/3 of an hour. If he continues at this rate how much of the stadium can he clean pre hour
Answers
Pleaseee Help
What is the area of the shaded sector?
Answers
Answer:
40π
Step-by-step explanation:
∅ = 360 - 135 = 225
a = (∅/360) * π * r²
a = (225/360) * π * 8²
a = 40π
All I need is for someone to explain how you get this answer !!
(The answer is the bottom part)
WILL MARK BRANLIEST
Answers
Answer:
THATS EASY HAHA JJUST DOWNLOAD THIS APP MATHSOLVER ITS EFFECTIVE
Step-by-step explanation:
HOPE IT HWLPS
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
Answers
Answer:
the answer should be ( b ) if I did this correctly
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.
Answers
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