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faust18 [17]
3 years ago
7

One essential feature of the normal distribution is that its graph is

Mathematics
2 answers:
Ksivusya [100]3 years ago
6 0
the answer is C) symmetric
Anna11 [10]3 years ago
3 0
One essential feature of the normal distribution is that its graph is SYMMETRIC
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How many solutions does a triangle with side lengths a = 4, A = 112º and b =<br>9 have?​
Ainat [17]

Answer:

This case has NO solutions.

Step-by-step explanation:

Notice that you are in a case of an obtuse triangle (one of its angles is larger than 90 degrees), the side opposite to the obtuse triangle is shorter than the side adjacent to the angle, so no actual triangle can be formed.

This can be found by simply trying to apply the Law of Sines to solve for the value of angle "B" opposite to side "b":

\frac{sin(A)}{a} =\frac{sin(B)}{b}\\sin(B)=\frac{b\,sin(A)}{a}\\sin(B)=\frac{9\,sin(112^o)}{4}\\\\sin(B)=2.086

As shown above, we get an impossible mathematical condition (also call an absurd), since the sine of an angle cannot give a value larger than 1 (one).

Therefore, there is no angle we can find to build a triangle with the given data.

7 0
3 years ago
Find a​ point-slope form for the line with slope 1 over 5 and passing through the point ​-8, -7
Whitepunk [10]

Answer:

(1/5)x-5.4=y

Step-by-step explanation:

mx+b=y

m=(1/5)

(-8,-7)=(x,y)

(1/5)(-8)+b=(-7)

-1.6+b=-7

b=-5.4

(1/5)x-5.4=y

6 0
2 years ago
Bank A is lending money at 6.4% interest compounded annually. The rate at Bank B is 6.3% compounded monthly, and the rate at Ban
Ad libitum [116K]

Answer:

$1596

$1597.28

$1598.33

bank A

Step-by-step explanation:

The formula for calculating compound interest:

FV = P (1 + r/m)^mn

FV = Future value  

P = Present value  

R = interest rate  

N = number of years

m = number of compounding

Bank A = $1500(1.064) = $1596

Bank B = $1500( 1 + 0.063/12)^12 = 1597.28

Bank C = $1500( 1 + 0.0635/365)^365 = $1598.33

Bank A pays the least amount of interest

8 0
2 years ago
A Bike shop charges by the hour to rent a bike. Related items are rented for flat fees. Write an expression that represents how
IgorLugansk [536]

Answer:

y= b+ 3a

Step-by-step explanation:

Given data

We are required to rent a bike and a helmet

le the flat fee for bike rental be a

and the flat fee helmet be b

let the number of hours be h

and let the total cost be y

So

y= b+ah

for h = 3

tThen the expression for the total is given as

y= b+ 3a

3 0
3 years ago
Read 2 more answers
A football team scored fewer than 16 points in Saturday’s game. Than wants to write an inequality for the number of points. He u
andrew11 [14]

Answer:

C- the number of points scored by the team.

Step-by-step explanation:

Since it says that they scored less than 16 points on Saturday, the variable has to be the number of points that are scored by the team.

3 0
2 years ago
Read 2 more answers
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