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enot [183]
3 years ago
12

10

Mathematics
1 answer:
motikmotik3 years ago
5 0

Answer:

9) x = 89°

10) x = 118°

11) x = 145°

12) x = 40°

Step-by-step explanation:

9) 180-91 = 89

10) x = 118° because it is alternate interior to 118

11) x-30 = 115,     x = 145

12) 4x-15 = 145,    4x = 160,   x = 40

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A basketball player makes 30% of her foul shots. she shoots 5 foul shots. you are interested in the number of shots that she mak
vampirchik [111]
This would be a binomial model, since there is a fixed number of trials, the probabilities are independent and there are only two choices (either the shot is made or missed).
5 0
3 years ago
Does the set {t, t Int} form a fundamental set of solutions for t^2y" -- ty' +y = 0?
Ivanshal [37]

Answer:

yes

Step-by-step explanation:

We are given that a Cauchy Euler's equation

t^2y''-ty'+y=0 where t is not equal to zero

We are given that two solutions of given Cauchy Euler's equation are t,t ln t

We have to find  the solutions are independent or dependent.

To find  the solutions are independent or dependent we use wronskain

w(x)=\begin{vmatrix}y_1&y_2\\y'_1&y'_2\end{vmatrix}

If wrosnkian is not equal to zero then solutions are dependent and if wronskian is zero then the set of solution is independent.

Let y_1=t,y_2=t ln t

y'_1=1,y'_2=lnt+1

w(x)=\begin{vmatrix}t&t lnt\\1&lnt+1\end{vmatrix}

w(x)=t(lnt+1)-tlnt=tlnt+t-tlnt=t where t is not equal to zero.

Hence,the wronskian  is not equal to zero .Therefore, the set of solutions is independent.

Hence, the set {t , tln t} form a fundamental set of solutions for given equation.

6 0
3 years ago
Find the unknown measure of the rectangle.<br> Area =28 square centimeters <br>Height =?
taurus [48]
Area of rectangle = Length*width
A = 28  so 28 = 4 * height
height  = 28/4 = 7
6 0
3 years ago
Read 2 more answers
A store had 112 diet sodas. The ratio of diet sodas to regular sodas was 8:4. How many regular sodas were there?
IceJOKER [234]

Answer:

56

Step-by-step explanation:

There are two ways the answer to this question can be determined

<u><em>Method 1 : the fast method </em></u>

We know that 8 is twice 4

4 x 2 = 8

The ratio of diet soda = 8

the ratio of regular sodas = 4

Diet sodas = 112

the number of regular sodas = 112 / 2 = 56

<u><em>Method 2 : The long method </em></u>

I would first determine the total number of diet and regular sodas. Let the total number be represented by d

from the question, the following equation can be derived :

(8/12) x d = 112

divide both sides of the equation by 12/8 to determine the value of d

d = 112 x (12/8) = 168

We can now derive a value for the number of regular soda

regular sodas = ( ratio of regular sodas / total soda) x total number of sodas

(4/12) x 168 = 56

3 0
3 years ago
What is the median?<br> –63–63–70–71–71–91–74–71
Otrada [13]

Answer: The median of the date you gave would be -71. Hope that helps!

8 0
3 years ago
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