what is an equation of the line that passes through the point (2, 4) and is perpendicular to the line whose equation is 3y = 6x +3

Answers

Answer 1

Answer: Hello,

3y=6x+3 has as slope 2.
The perpendicular has the slope m*2=-1==>m=-1/2
The searched line has for equation y-4=-1/2(x-2) or y=-x/2+5

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I. For any uniform probability distribution, the mean and standard deviation can be computed by knowing the maximum and minimum values of the random variable. a) true
b) false
ii. In a uniform probability distribution, P(x) is constant between the distribution's minimum and maximum values.
a) true
b) false
iii. The uniform probability distribution's shape is a rectangle
a) true
b) false

Answers

Answer: I. True

II. True

III. True

Step-by-step explanation:

Uniform probability distributions, this are probability distributions which have equally likely outcomes. There are two known types of uniform distributions:

1. discrete

2. continuous.

In the first type of distribution, each outcome is discrete. In a continuous distribution, outcomes are continuous this means they are usually infinite.

Final answer:

In a uniform probability distribution, both the mean and standard deviation can be derived from the minimum and maximum values, P(x) remains constant, and the shape of the distribution is rectangular. All statements are true.

Explanation:

The answer to your questions:
i. For any uniform probability distribution, the mean and standard deviation can indeed be computed by knowing the maximum and minimum values of the random variable. So, this is true. The mean is the average of the maximum and minimum, and the standard deviation can be calculated from the range (max-min).

ii. In a uniform probability distribution, P(x) is indeed constant between the distribution's minimum and maximum values. This means that every value has the same likelihood of occurring, which is what makes it 'uniform'. So, this is true.

iii. The uniform probability distribution's shape is indeed a rectangle. This is because all outcomes are equally likely, resulting in a graph that is flat, or rectangular-shaped. Hence, this is also true.

Learn more about Uniform Probability Distribution here:

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Last week at best bargain, 75% of computers sold were laptops. If 340 computer were sold there last week, how many laptops were sold?

Answers

Total number of computers sold last week from Best Bargain = 340
Percentage of laptops sold last week from Best Bargain = 75%
These are the information's that we can find given in the question. Based on these information's the answer to the question can be easily found.
Number of laptops sold from Best Bargain last week = 340 * (75/100)
   = 340 * (3/4)
      = 85 * 3
   = 255
So out of the total of 340 computers sold from Best Bargain last week, 255 were laptops. I hope this is the answer you were looking for.

6^x+8=17^2x-2 can I have help

Answers

$6^(x+8)=17^(2x-2)\ \ \ \ \ \ |both\ sides\ log_6\n\nlog_66^(x+8)=log_617^(2x-2)\n\nx+8=(2x-2)log_617\n\nx+8=2xlog_617-2log_617\n\nx-2xlog_617=-2log_617-8\n\nx(1-2log_617)=-2log_617-8\ \ \ \ |divide\ both\ sides\ by\ (1-2log_617)\n\nx=(-2log_617-8)/(1-2log_617)\n\nx=(-(log_617^2+8))/(-(log_617^2-1))\n\nx=(log_6289+8)/(log_6289-1)$

11.68 - 0.48 ÷ (-1.6) =

Answers

The answer to your question is 11.98!

Answer:

11.98

Step-by-step explanation:

First according to the order of operations, you do the division first -0.48 divided by -1.6 which is 0.3 then we subtract 11.68+0.3 which is 11.98

Hope this is helpful and detailed

Lin rode a bike 20 miles in 150 minutes. She rode at a constant speed. How long did it take her to ride 6 miles

Answers

Answer: 45 minutes

Step-by-step explanation:

She rides 150/20 minutes per mile which is 7.5 minutes per mile. So it would take her 45 minutes to ride 6 miles because 6 × 7.5 = 45.

Question 6 (1 point) If the area of a square is 121 square inches, what is the perimeter of the square? inches

Answers

Answer:

44 inches

Step-by-step explanation:

The side length is the square root of the area:

A = s^2

121 in^2 = s^2

√(121 in^2) = s = 11 in

The perimeter of a square is 4 times the side length (since all four sides are the same length).

P = 4s = 4(11 in) = 44 in

The perimeter of the square is 44 inches.

Question Given:

The area of a square is 121 square inches, what is the perimeter of the square? inches

Answer:

The perimeter = 44 inches

Explanation:

Area = 121 inches²

.°. Length of a side = √(121 inches²) = 11 inches

Now,

Perimeter of the square =

Length of a side×4

= 11 inches × 4

= 44 inches.

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