A bear fun weighed 64 oz in March. After three

Help please ! thank u

KonstantinChe [14]

Given:

In triangle $ABC,m\angle A=138^\circ,c=19,a=29$ .

To find:

The $m\angle C$ .

Solution:

According to the law of sines:

$\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}$

Taking $\dfrac{\sin A}{a}=\dfrac{\sin C}{c}$ , we get

$\dfrac{\sin 138^\circ}{29}=\dfrac{\sin C}{19}$

$\dfrac{0.66913}{29}\times 19=\sin C$

$0.4383959=\sin C$

Taking sin inverse on both sides, we get

$\sin{-1}0.4383959=C$

$26.001577^\circ=C$

$C\approx 26^\circ$

Therefore, the correct option is b.

6 0

2 years ago

New legislation passed in 2017 by the U.S. Congress changed tax laws that affect how many people file their taxes in 2018 and be

stiks02 [169]

Answer:

a. Yes

b. 0.35

c. 0.5

d.

E(x)=34.25

V(x)=73.1875

SD(x)=8.555

Step-by-step explanation:

a.

x 20 25 30 35 40 45 50

f(x) 0.05 0.2 0.25 0.15 0.15 0.1 0.1

This will be valid probability distribution if

1. All probabilities are between 0 and 1 inclusive.

2. Sum of probabilities must be 1.

Condition 1 is satisfied in this distribution. Now, we will check second condition

sum(f(x))=0.05+0.2+0.25+0.15+0.15+0.1+0.1=1.

As the both conditions are satisfied, thus the given distribution is a valid probability distribution.

b.

P(x≥40)=P(X=40)+P(X=45)+P(X=50)

P(x≥40)=0.15+0.1+0.1

P(x≥40)=0.35

So, the probability that Backens and Hayes LLC will obtain 40 or more new clients is 0.35.

c.

P(x<35)=P(X=20)+P(X=25)+P(X=30)

P(x<35)=0.05+0.2+0.25

P(x<35)=0.5

So, the probability that Backens and Hayes LLC will obtain fewer than 35 new clients is 0.5.

d.

Expected value of x=E(x)= sum[x*f(x)]

E(x)= 20*0.05+25*0.2+30*0.25+35*0.15+40*0.15+45*0.1+50*0.1

E(x)=1+5+7.5+5.25+6+4.5+5

E(x)=34.25

Variance of x=V(x)=sum[x²*f(x)]-(sum[x*f(x)])²

sum[x²*f(x)]= 20²*0.05 +25²*0.2 +30²*0.25 +35²*0.15 +40²*0.15 +45²*0.1 +50²*0.1

sum[x²*f(x)]=20+1255+225+183.75+240+202.5+50

sum[x²*f(x)]=1246.25

V(x)=1246.25-(34.25)²

V(x)=73.1875

Standard deviation of x=SD(x)=√V(x)

SD(x)=8.555

3 0

2 years ago

Line segment AB on the coordinate plane stretches from (1,1) to (7,9). Line segment CD stretches from (-2,3) to (2,6). What is t

ValentinkaMS [17]

Answer:

B 2:1

Step-by-step explanation:

Distance between two points:

Suppose that we have two points, $(x_1,y_1)$ and $(x_2,y_2)$ . The distance between them is given by:

$D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

In this question:

The length of the segments are given by the distance between its endpoints.

Line segment AB on the coordinate plane stretches from (1,1) to (7,9).

So its length is:

$\sqrt{(7-1)^2+(9-1)^2} = \sqrt{6^2+8^2} = \sqrt{100} = 10$

Line segment CD stretches from (-2,3) to (2,6).

$\sqrt{(2-(-2))^2+(6-3)^2} = \sqrt{4^2+3^2} = \sqrt{25} = 5$

What is the ratio AB:CD of the lengths of these line segments?

10:5 = 2:1

So the correct answer is given by option B.

4 0

1 year ago

Which statement best describes the function below? fx) = 2x² – 3x+1 O A. It is a one-to-one function. O B. It fails the vertical

Nadusha1986 [10]

Answer:

f(x)=2x^2-3x+1

the graph of the function is attached with the answer

As we can see that equation is quadratic and its graph is a parabola facing upward.

As we can see it passes the Vertical line test

As it passes the Vertical line test , So it is a function

And two values of x has one value of y

So it is a many to one function.

Step-by-step explanation:

3 0

2 years ago

What is the solution to the system of equations?

o-na [289]

The answer to the question

5 0

2 years ago