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Snezhnost [94]
1 year ago
15

Use complete sentences to describe the domain of the cosine function.

Mathematics
1 answer:
Hatshy [7]1 year ago
6 0
The domain of a function is the set of the possible input values of the function. For example: consider the function f(x) = cos x, the domain of the function is the set of possible values of x.

The cosine function takes x values from all real numbers.

Therefore, the domain of the cosine function is a real numbers.
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Rework problem 28 from section 3.1 of your text, involving the inspection of refrigerators on an assembly line. You should still
sergeinik [125]
Event: Probability: A. Too much enamel 0.18 B. Too little enamel 0.24 C. Uneven application 0.33 D. No defects noted 0.47 


let P(AC) = x, P(BC) = y, then P(A) + P(B) + P(C) - (x+y) = 1-0.47 = 0.53 x+y = 0.22 
3. The probability of paint defects that results to <span>an improper amount of paint and uneven application? </span>
 P(A U B U C) = 0.53 

4. <span>the probability of a paint defect that results to</span>
<span>the proper amount of paint, but uneven application?</span>
P(C) - P(AC) - P(BC) = 0.47 - 0.22 = 0.25 


A and B are disjoint so P(ABC) = 0, but you can have P(AC) and P(BC). you can't compute these separately here, but you can compute P(AC) + P(BC). By the way, P(AC) eg is just an abbreviated version of P(A∩C).
3 0
2 years ago
There are 53 students on the Jackson Middle School basketball teams. The number of 8th graders is 15 fewer than three times the
pshichka [43]

Answer:

The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36

Step-by-step explanation:

Let

x ----> the number of 7th students on the Jackson Middle School basketball teams

y ----> the number of 8th students on the Jackson Middle School basketball teams

we know that

There are 53 students on the Jackson Middle School basketball teams

so

x+y=53 -----> equation A

The number of 8th graders is 15 fewer than three times the number of 7th graders

so

y=3x-15 ----> equation B

substitute equation B in equation A

x+(3x-15)=53

solve for x

x+3x=53+15\\4x=68\\x=17

Find the value of y

y=3(17)-15=36

therefore

The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36

6 0
1 year ago
Read 2 more answers
What number must we multiply by $-\frac23$ to get a product of $\frac34$?
stich3 [128]

Let x be unknown number. If number x is multiplied by -\dfrac{2}{3} and the product is equal to \dfrac{3}{4}, then

x\cdot \left(-\dfrac{2}{3}\right)=\dfrac{3}{4}.

To find x you should divide \dfrac{3}{4} by -\dfrac{2}{3}:

x=\dfrac{\dfrac{3}{4}}{-\dfrac{2}{3}}=\dfrac{3}{4}\cdot \left(-\dfrac{3}{2}\right)=-\dfrac{3\cdot 3}{4\cdot 2}=-\dfrac{9}{8}.

Answer: x=-\dfrac{9}{8}

7 0
2 years ago
-6y + 3(12y) = 20(y - 1) + 15 is it true?
xxMikexx [17]

Answer:

y= - 1/2 (negative half) =  -0.5

Step-by-step explanation:

−6y+3(12y)=20(y−1)+15

Multiply 3 and 12 to get 36.

−6y+36y=20(y−1)+15

Combine −6y and 36y to get 30y.

30y=20(y−1)+15

Use the distributive property to multiply 20 by y−1.

30y=20y−20+15

Add −20 and 15 to get −5.

30y=20y−5

Subtract 20y from both sides.

30y−20y=−5

Combine 30y and −20y to get 10y.

10y=−5

Divide both sides by 10

y= -5/10

Reduce the fraction -5/10 = -0.5 to lowest terms by extracting and cancelling out 5 .

5 0
1 year ago
A pet store has 10 ​puppies, including 3 ​poodles, 4 ​terriers, and 3 retrievers. if rebecka and​ aaron, in that​ order, each se
olganol [36]
P(both poodle) = (3/10)(3/10) = 9/100

Answer: The probability of choosing the same puppy is 9/100
6 0
1 year ago
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