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3 years ago

Simplify 3 (5x -4) = 8x -2

Mathematics

2 answers:

sweet [91]3 years ago

7 0

The answer is 10/7
hope this helped.

enyata [817]3 years ago

5 0

3(5x-4)=8x-2
3×5x+3×-4=8x-2
15x-12=8x-2
7x-12=-2
7x=10

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Find the equation of the line.

anygoal [31]

Answer:

y=4x + 7

Step-by-step explanation:

Line=y=ax+b

b = where the line crosses the y-axis (where x=0). Here, it's 7.

a= vertical distance ÷ horizontal distance.

You can take any pair of distances to a point on the line, for example (4,1) is easy to read in the graph.

x=0 to 1 (horizontal distance=1-0=1)

and

y= 0 to 4 (vertical distance= 4-0=4)

a=4÷1=4.

So, the answer is y=4x + 7 as a= 4 and b=7.

7 0

3 years ago

Let X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes. If the random vari

Gelneren [198K]

Answer:

Probability that the wait time is greater than 37 minutes is 0.3474.

Step-by-step explanation:

We are given that the random variable X is known to be exponentially distributed and X be the waiting time for a car to pass by on a country road, where X has an average value of 35 minutes.

Let X = waiting time for a car to pass by on a country road

The probability distribution function of exponential distribution is given by;

$f(x) = \lambda e^{-\lambda x} , x >0$ where, $\lambda$ = parameter of distribution.

Now, the mean of exponential distribution is = $\frac{1}{\lambda}$ which is given to us as 35 minutes that means $\lambda = \frac{1}{35}$ .

So, X ~ Exp( $\lambda = \frac{1}{35}$ )

Also, we know that Cumulative distribution function (CDF) of Exponential distribution is given as;

$F(x) = P(X \leq x) = 1 - e^{-\lambda x}$ , x > 0

Now, Probability that the wait time is greater than 37 minutes is given by = P(X > 37 min) = 1 - P(X $\leq$ 37 min)

P(X $\leq$ 37 min) = $1 - e^{-\frac{1}{35} \times 37}$ {Using CDF}

= 1 - 0.3474 = 0.6525

So, P(X > 37 min) = 1 - 0.6525 = 0.3474

Therefore, probability that the wait time is greater than 37 minutes is 0.3474.

4 0

3 years ago

Locate and plot √11 on a number line. Find a better approximation using decimals. 3.2×3.2= 3.4×3.4 = (Type integers or decimals.

ki77a [65]

Answer:

The point 'R' shows the irrational number √11 on the given number line and for better proximation using decimals, 3.2×3.2= 10.24; 3.4×3.4= 11.56

Step-by-step explanation:

It is given that we have to locate √11 on a number line, so for that we need to mark point 'O' on the number line as shown;

Now,

On the number line, point 'O' represent 0 and the point 'L' represents 3. Thus, we have OL = 3 units.

Now, we will construct LM = 1 unit, which will be perpendicular to the number line given;

=> OM = √10

Now, we will further construct MN = 1 unit, which will be perpendicular to OM;

=> ON² = OM² + MN²

=> ON = √OM² + MN²

=> √(10)² + (1)²

=> √10+1

=> √11

Furthermore, With O as the center and ON = √11 for the radius, we create an arc that crosses the number line at R resulting that line OR = √11 (radius).

Therefore, the point 'R' shows the irrational number √11 on the given number line.

For better proximation using decimals, the answers are:

3.2 × 3.2 = 10.24

3.4 × 3.4 = 11.56

To know more about representation on number line, click here:

brainly.com/question/13425491

#SPJ10

8 0

2 years ago

Amelia needs 3 2/3 cups of sugar to make cupcakes. Which improper fraction names this amount?

Dmitrij [34]

C because you multiply the big number with the lower number then you add the number on top. 3 times 3 equals 9 plus 2 = 11. you keep the bottom number under your new number

3 0

3 years ago

Read 2 more answers

What is 2.11 in its as a mixed number

Sliva [168]

$2.11=2+0.11=2+\dfrac{11}{100}=\boxed{2\frac{11}{100}}$

6 0

4 years ago