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kow [346]
2 years ago
8

Given h(a) = 2x – 5, find h(6).

Mathematics
1 answer:
hram777 [196]2 years ago
7 0

Answer:

h(-6) = 2(-6) + 5

h(-6) = -12 + 5

Solution: h(-6) = -7

Step-by-step explanation:

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g Suppose a factory production line uses 3 machines, A, B, and C for making bolts. The total output from the line is distributed
Vladimir [108]

Answer:

The probability that it came from A, given that is defective is 0.362.

Step-by-step explanation:

Define the events:

A: The element comes from A.

B: The element comes from B.

C: The element comes from C.

D: The elemens is defective.

We are given that P(A) = 0.25, P(B) = 0.35, P(C) = 0.4. Recall that since the element comes from only one of the machines, if an element is defective, it comes either from A, B or C. Using the probability axioms, we can calculate that

P(D) = P(A\cap D) + P(B\cap D) + P(C\cap D)

Recall that given events E,F the conditional probability of E given F is defined as

P(E|F) = \frac{P(E\cap F)}{P(F)}, from where we deduce that

P(E\cap F) = P(E|F)P(F).

We are given that given that the element is from A, the probability of being defective is 5%. That is P(D|A) =0.05. Using the previous analysis we get that

P(D) = P(A)P(D|A)+P(B) P(D|B) + P(C)P(D|C) = 0.05\cdot 0.25+0.04\cdot 0.35+0.02\cdot 0.4 = 0.0345

We are told to calculate P(A|D), then using the formulas we have

P(A|D) = \frac{P(A\cap D)}{P(D)}= \frac{P(D|A)P(A)}{P(D)}= \frac{0.05\cdot 0.25}{0.0345}= 0.36231884

3 0
2 years ago
Let f(x)=4x+7 and g(x)=3x-5. find (fog)(-4)<br><br> A. -9 <br> B. -61 <br> C. -32 <br> D. -17
vovikov84 [41]

Answer:

B

Step-by-step explanation:

To evaluate (f ○ g)(- 4), first evaluate g(- 4) then substitute this value into f(x)

g(- 4)  = 3(- 4) - 5 = - 12 - 5 = - 17, then

f(- 17) = 4(- 17) + 7 = - 68 + 7 = - 61 → B

5 0
2 years ago
Please help thank you.
MA_775_DIABLO [31]
Question 1:

To start off this question, we can tell that this is a square because it has 4 right angles and 4 congruent sides.

A square has four parallel sides and 4 congruent sides, so a square is a rhombus and parallelogram. 

A square has 4 right angles, so it's also a rectangle.

A square has 4 sides, so it's also a quadrilateral.

The first choice is your answer.

Question 2:

Not all quadrilaterals are rectangles, so A is incorrect.

Not all quadrilaterals are squares, so B is incorrect.

All rectangles are types of quadrilaterals, so C is correct.

Not all quadrilaterals are parallelograms, so D is incorrect.

Thus, C is your answer.

Question 3: 

The first choice will not work because a rhombus will satisfy those conditions, and a rhombus is not always a square.

The second choice will work because only a square will satisfy that condition because only squares have 4 congruent sides along with equal diagonals.

Thus, the second choice is your answer.

Have an awesome day! :)
7 0
3 years ago
Select the correct answer. Consider the function represented by this graph. Which word or phrase describes the value of the func
goldenfox [79]

Answer:

six and 8

Step-by-step explanation:

6 0
2 years ago
What is the final cost of a $21,000 car with a sales tax of 7%?
fomenos
21,000 + 0.07(21,000) = 21,000 + 1,470 = 22,470
8 0
3 years ago
Read 2 more answers
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