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Leto [7]
4 years ago
5

A rectangle has a length of 4x plus 5 and a width of 8x minus 4. Which expression shows the perimeter of that rectangle? A: 4x +

1 B: 12x - 2 C: 12x + 1 D: 24x + 2
Mathematics
1 answer:
mezya [45]4 years ago
6 0

Answer: The answer is (D) 24x+2.


Step-by-step explanation:  Given that there is a rectangle, where length of the rectangle is given by

\ell=4x+5,

and width of the rectangle is given by

b=8x-4.

We are to find the perimeter of the rectangle. To do so, we need to add two times length with two times breadth of the rectangle.

Therefore, perimeter is given by

p=2\ell+2b=2\times(4x+5)+2\times(8x-1)=8x+10+16x-8=24x+2.

Thus, the correct option is (D).


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Show that every positive integer is of the form 2q and that every odd integer is of the
irinina [24]
IF n is a positive integer THEN  n mod 2=0
IF n is an odd integer THEN n mod 2=1
SO you can draw that conclusion.
You are welcome.
6 0
3 years ago
Of all the soft drink consumers in a particular sales region, 30% prefer Brand A and 70% prefer Brand
victus00 [196]

Answer:

Option D -0.67

Step-by-step explanation:

Given : Preference of Brand A =30% ⇒ P(A)=\frac{30}{100}=0.3

Preference of Brand B =70% ⇒ P(B)=\frac{70}{100}=0.7

Prefer Brand A and are Female = 20% ⇒ P(A/F)=\frac{20}{100}=0.2

Prefer Brand B and are Female = 40% ⇒ P(B/F)=\frac{40}{100}=0.4

To find : Selected consumer is female, given that the person prefers Brand A P(F/A)

Solution : Using Bayes' theorem, which state that

P(A/B)=\frac{P(B/A)P(A)}{P(B)}

where, P(A) and P(B) are probabilities of observing A and B.

P(B/A)= is a conditional probability where event B occur and A is true

P(A/B)= also a conditional probability where event A occur and B is true.

Now, applying Bayes' theorem,

P(F/A)=\frac{P(A/F)P(A)}{P(B)P(B/F)+P(A)P(A/F)}

P(F/A)=\frac{(0.2)(0.3)}{(0.7)(0.4)+(0.3)(0.2)}

P(F/A)=\frac{0.6}{0.28+0.6}

P(F/A)=\frac{0.6}{0.88}

P(F/A)=0.68

Therefore, Option D is correct probability that a randomly selected consumer is female, given that the person prefers Brand A -0.67

3 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=%28%5Cfrac%7Bz%7D%7B4%7D%20%2B30%29%20%2B%20%28%5Cfrac%7Bz%7D%7B2%7D%20%29%20%3D%20180" id="Te
Dovator [93]

Answer:

  x = 200

Step-by-step explanation:

Multiply by 4:

  x + 120 + 2x = 720

  3x = 600 . . . . . . collect terms, subtract 120

  x = 200 . . . . . . . divide by 3

_____

<em>Check</em>

  (200/4 +30) +(200/2) = 180

  (50 +30) + 100 = 180

  80 + 100 = 180 . . . . . true

_____ _____

<em>Alternate solution</em>

If you like, you can simply work with the equation given.

  (3/4)x + 30 = 180 . . . . collect terms

  (3/4)x = 150 . . . . . . . . . subtract 30

  x = 200 . . . . . . . . . . . . multiply by 4/3

4 0
3 years ago
Find the domain and range pls!
skad [1K]
Domain should be, (-♾️,♾️)
And range should be, (-♾️, 2)

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4 0
2 years ago
Which of these graphs represents a function
azamat
Answer: C.

Explanation: A function only has one y value for every x value. This means that an x cannot have more than one y value. You can do the vertical line test on graphs to figure out if it is a function or not. In this case, graph C is the only one that passes the vertical line test.
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3 years ago
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