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

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

Answer:

40π

Step-by-step explanation:

∅ = 360 - 135 = 225

a = (∅/360) * π * r²

a = (225/360) * π * 8²

a = 40π

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.    

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

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

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

Answer:

Solution given:

G=-17

H=5

distance =-17-5=-22

since distance is always positive so

distance between GH: 22 units.

Location

Find distance

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]

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]

Answer:

31 7/8

16+8=24

4+2=6

2/4+1/4=3/4+1/8=7/8

Answer:

2/3

Step-by-step explanation:

Answer:

C, 9+ the square root of 41

Step-by-step explanation:

got it right on edge :)

Answer:

23

Step-by-step explanation:

have a good day :)

Answer:

proper I believe if I'm wrong sorry

Answer:

THATS EASY HAHA JJUST DOWNLOAD THIS APP MATHSOLVER ITS EFFECTIVE

Step-by-step explanation:

HOPE IT HWLPS

Answer:

the answer should be ( b ) if I did this correctly

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

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]

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

Answer:

Pam is correct!

Step-by-step explanation:

Pam is correct it would be between nine minutes and 12!

Answer:

[tex]\huge\boxed{\fcolorbox{green}{pink}{Answer}}

[/tex]

D. 34 lakh

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.

Answer:

Step-by-step explanation:

It’s b

Answer:

D

Step-by-step explanation:

There is no 2x in D answer