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3 years ago

What is the value of this expression? 100 - [(5 x 3 + 4)]

Mathematics

2 answers:

shepuryov [24]3 years ago

7 0

Answer:

Step-by-step explanation:

Order of operations rules require that we do the work inside parentheses first. Multiplication must be done before addition. Thus, the quantity inside parentheses becomes 15 + 4 = 19.

Next, we evaluate 100 - [19], obtaining 81 (answer)

Lorico [155]3 years ago

5 0

81 (hope this helps)

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What is the midpoint of the line segment joining points (3,5) and (-6,1)

mezya [45]

Answer:

( -3/2 , 3)

Step-by-step explanation:

midpoint of segment: (x , y) : ((x + x') / 2 , (y + y') /2)

x = (3 + (-6)) / 2 = -3/2

y = (5 + 1) / 2 = 3

8 0

3 years ago

Pls help fast <br><br> brainlest to enyone who helps

Artemon [7]

Answer:

B STEP 2

Step-by-step explanation:

5/8 is not more than 1

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2 years ago

The area of a rectangle is x 2 – 3x – 28. If the<br><br>length is x + 4, find the width.

Hatshy [7]

Answer:

-4 square units

Step-by-step explanation:

a = l × b

x2 - 3x - 28 = (x +4)(×)

x2 - 3x - 28 = x2 + 4x

-3x - 28 - 4x = 0

-7x - 28 = 0

-7x = 28

x = -4

7 0

3 years ago

(1 point) Consider the universal set U={1,2,3,4,5,6,7,8,9,10}, define the set A be the even numbers, the set B be the odd number

Sloan [31]

Answer:

a) AUC = {2,4,6,8,10}

b) BnC = {}

c) AnB = {}

d) B-C = B = {1,3,5,7,9}

Step-by-step explanation:

The set A is the even numbers, those that are divisible by two.

So A = {2,4,6,8,10}

B is the odd numbe.rs. An odd number is a number that is not divisible by two.

So B = {1,3,5,7,9}.

C = {4,5,6}, as the problem states

a) The union of sets is a set containing all elements that are in at least one of the sets. So the union of A and C is a set that contains all elements that are in at least one of A or C.

So AUC = {2,4,6,8,10}.

b) The intersection of two sets consists of all elements that in both sets. So, the intersection of B and C is the set that contains all elements that are in both B and C.

There are no elements that are in both B and C, so the intersection is an empty set

BnC = {}

c) Same explanation as b), there are no elements that are in both A and B, so another empty set.

AnB = {}

d) The difference of sets B and C consists of all elements that are in B and not in C. We already have in b) that BnC = {}, so:

B-C = B = {1,3,5,7,9}

6 0

3 years ago

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

3 years ago