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Triss [41]
2 years ago
10

What is the equation of the line that passes through the points (4,-1) and (3,-8)

Mathematics
1 answer:
Minchanka [31]2 years ago
4 0

Answer:

y=7x-29

Step-by-step explanation:

used a graphing calculator

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A quadrilateral has angles that measure 60°, 95°, and 150°.
Nikolay [14]
The sum of angles in a quadrilateral = 360 degrees.

Let the fourth angle be x:

Therefore:  60 + 95 + 150 + x = 360

305 + x = 360

x = 360 - 305

x = 55

Option B. I hope this helps.
6 0
3 years ago
When a whole number is multiplied by 10to the 5th power, how does the placement of the decimal point change? a It moves five pla
Sever21 [200]

Answer:

The correct option is;

a) It moves five places to the right

Step-by-step explanation:

Multiplying a whole number by 10 raised to a given (positive whole number) power, involves the shifting of the positioning of the decimal places to the right, depending on the value of the positive whole number power to which the 10 is raised

Similarly, multiplying a whole number by 10 raised to a given (negative whole number) power, involves the shifting of the positioning of the decimal places to the left, depending on the value of the negative whole number power to which the 10 is raised.  

The reason is because, the number base generally used for arithmetic is in base 10 and multiplying or dividing by 10 is what is required to change a number's place value

Therefore, multiplying a whole number by 10 raised to the 5th power (10⁵) requires shifting the decimal place 5 places to the right

Example:

x.0 × 10⁵ = x00000.0

Where, x is a whole number.

7 0
3 years ago
The expression 16-3/4 is equivalent to the expression
Natali5045456 [20]
64/4 or 15.25 decimal 
3 0
3 years ago
4x - y = 3<br> ax + 10y = 6<br> Solve for y
Mademuasel [1]

Answer:

Step-by-step explanation:

First Question: 4x-y=3

Second Question: ax+10y=6

First Answer: y=3-4x

Step 1: Property of Inequality!

4x-y=3 = (4x-4x) - y=(3-4x)

Step 2: Solve!

4x-4x=0 which leaves us with y=3-4x

Second Answer: y=6/10

Step 1: Property of Inequality!

ax+10y=6 = (ax-ax) + 10y= (6-ax)

Step 2: Solve!

10y=6 which leaves us with y=6/10

6 0
2 years ago
A random variable follows the continuous uniform distribution between 160 and 340. Calculate the following quantities for the di
Firlakuza [10]

Answer:

a) 0.3889

b) 0.5

c) 0.8333

d) The mean is 250 and the standard deviation is 51.96.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability of finding a value of X higher than x is:

P(X > x) = 1 - \frac{x - a}{b-a}

The probability of finding a value of X between c and d is:

P(c \leq X \leq d) = \frac{d - c}{b - a}

The mean and the standard deviation are, respectively:

M = \frac{a+b}{2}

S = \sqrt{\frac{b-a}^{2}{12}}

A random variable follows the continuous uniform distribution between 160 and 340.

This means that a = 160, b = 340

a)

P(220 \leq X \leq 290) = \frac{290 - 220}{340 - 160} = 0.3889

b)

P(160 \leq X \leq 250) = \frac{250 - 160}{340 - 160} = 0.5

c)

P(X > 190) = 1 - \frac{190 - 160}{340 - 160} = 0.8333

d)

M = \frac{160 + 340}{2} = 250

S = \sqrt{\frac{340 - 160}^{2}{12}} = 51.96

The mean is 250 and the standard deviation is 51.96.

8 0
3 years ago
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