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miv72 [106K]
3 years ago
15

Problems due Monday.

Mathematics
2 answers:
Ilya [14]3 years ago
8 0
11) x = 6
12) x = 7/4
Leya [2.2K]3 years ago
5 0
11. 2<span><span><span>+6x</span>+4</span>=<span>3x+12</span></span>Step 1: Simplify both sides of the equation.<span><span><span>2+6x</span>+4</span>=<span>3x+12</span></span><span><span><span>(6x)</span>+<span>(2+4)</span></span>=<span>3x+12</span></span>(Combine Like Terms)<span><span>6x+6</span>=<span>3x+12</span></span><span><span>6x+6</span>=<span>3x+12</span></span>Step 2: Subtract 3x from both sides.<span><span><span>6x+6</span>−3x</span>=<span><span>3x+12</span>−3x</span></span><span><span>3x+6</span>=12</span>Step 3: Subtract 6 from both sides.<span><span><span>3x+6</span>−6</span>=12−6</span><span>3x=6</span>Step 4: Divide both sides by 3.<span><span>3x3</span>=63</span>x=2Answer:x=212.−<span><span><span>5+<span>8x</span></span>+2</span>=<span><span>4x</span>+4</span></span>Step 1: Simplify both sides of the equation.<span><span><span><span>−5</span>+<span>8x</span></span>+2</span>=<span><span>4x</span>+4</span></span><span><span><span>(<span>8x</span>)</span>+<span>(<span><span>−5</span>+2</span>)</span></span>=<span><span>4x</span>+4</span></span>(Combine Like Terms)<span><span><span>8x</span>+<span>−3</span></span>=<span><span>4x</span>+4</span></span><span><span><span>8x</span>−3</span>=<span><span>4x</span>+4</span></span>Step 2: Subtract 4x from both sides.<span><span><span><span>8x</span>−3</span>−<span>4x</span></span>=<span><span><span>4x</span>+4</span>−<span>4x</span></span></span><span><span><span>4x</span>−3</span>=4</span>Step 3: Add 3 to both sides.<span><span><span><span>4x</span>−3</span>+3</span>=<span>4+3</span></span><span><span>4x</span>=7</span>Step 4: Divide both sides by 4.<span><span><span>4x</span>4</span>=<span>7/4</span></span><span>x=<span>7/4</span></span>Answer:<span>x=<span>7/4</span></span>
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Let z denote a random variable that has a standard normal distribution. Determine each of the probabilities below. (Round all an
Lorico [155]

Answer:

P(Z < 2.37) = 0.9911.

Step-by-step explanation:

We are given that Let z denote a random variable that has a standard normal distribution.

Let Z = a random variable

So, Z ~ Standard Normal(0, 1)

As we know that the standard normal distribution has a mean of 0 and variance equal to 1.

                          Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = mean = 0

           \sigma = standard deviation = 1

Now, the probability that z has a value less than 2.37 is given by = P(Z < 2.37)

        P(Z < 2.37) = P(Z < \frac{2.37-0}{1} ) = P(Z < 2.37) = 0.9911

The above probability is calculated by looking at the value of x = 2.37 in the z table which has an area of 0.9911.

4 0
3 years ago
John bought a used truck for $4,500. He made an agreement with the dealer to put $1,500 down and make payments of $350 for the n
kumpel [21]
I think it is D But it could also be A
7 0
3 years ago
What is Pythagoras Theorem ?
Nikitich [7]
Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.
The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).
Pythagoras is in the form of;
a<em><u /></em>²+b²=c²
However, it can also be written in the form of c²=a²+b²
In order to find the hypotenuse, you will have the length of two sides, for example, these could be 3 and 4.
As 'C' is always the hypotenuse, you have to work out the two other lengths, and you do this by squaring the numbers.
3²=9 and 4²=16.
As you're looking for C, you've got to add these together
9+16=25
As a²+b²=c², this means that the answer for C is the square root of 25.
√25= 5

Hope this has been able to help you :) 
5 0
3 years ago
Read 2 more answers
If the range of f(x)= square root mx and the range of g(x)=m square root x are the same, which statement is true about the value
AveGali [126]
M can be any positive real number.

Explanation:

From f(x) = √(mx) ; if x is posive m has to be positive; if x is negative m has to be negative; if x is cero m can have any value, and the range will always be 0 or positve

From g(x) = m √x; x can only be 0 or positive and the range will have the sign of m.

Given we concluded that the range of f(x) can only be  0 or positive, then me can only be 0 or positive. 
3 0
3 years ago
Solve for X <br> 7x=49 (brainliest)
posledela

Answer:

\huge\colorbox{violet}{ᴀɴsᴡᴇʀ}

Hey There!

The answer = 7 = ( Seventh Track of TS8= Seven )

Step-by-step explanation:

7x = 49 \\ x = 49 \div 7 \\ x = 7

=>

7 \times 1 = 7 \\ 7 \times 2 = 14\\ 7 \times 3 = 21 \\ 7 \times 4 = 28 \\ 7 \times 5 = 35 \\ 7 \times 6 = 42 \\ \bold {7 \times 7 = 49} \\ 7 \times 8 = 56 \\ 7 \times 9 = 63 \\ 7 \times 10 = 7

6 0
3 years ago
Read 2 more answers
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