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3 years ago

SSIGNMENTS ASSIGNMENT - Solve the equation for x. 6(4x - 10) = 84

Mathematics

1 answer:

scZoUnD [109]3 years ago

4 0

Answer:Simplifying

6(4x + 10) = 84

Reorder the terms:

6(10 + 4x) = 84

(10 * 6 + 4x * 6) = 84

(60 + 24x) = 84

Solving

60 + 24x = 84

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-60' to each side of the equation.

60 + -60 + 24x = 84 + -60

Combine like terms: 60 + -60 = 0

0 + 24x = 84 + -60

24x = 84 + -60

Combine like terms: 84 + -60 = 24

24x = 24

Divide each side by '24'.

x = 1

Simplifying

x = 1

Step-by-step explanation:

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3. Identify the following as true or false. For those that are false, explain why they are false.

harkovskaia [24]

Answer:

a:false

b:true

c:true

Step-by-step explanation:

a:the sum of all the probabilities in the distribution must be equal to one.

My apologies if any are wrong.

4 0

3 years ago

Plz help will be thanked and will pick brainly

arsen [322]

Answer:

275 units^2

Step-by-step explanation:

The formula for the area of trapezoid is:

Area=((b1+b2)/2)*h

In the given trapezoid, as it can be seen

b1=16

h=11

The lower base will be calculated using all the lengths in the lower base

b2=9+16+9

b=34

Putting the values in formula

Area=((16+34)/2)*11

Area=(50/2)*11

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6 0

3 years ago

In a certain town in the united states, 40% of the population are democrats and 60% are republicans. The municipal government ha

mixer [17]

Answer:

(a) 0.48, (b) 0.625, (c) 0.1923

Step-by-step explanation:

First define

Probability a person is a democrat: P(D) = 0.4

Probability a person is a republican: P(R) = 0.6

Probability a person support the measure given that the person is a democrat: P(SM | D) = 0.75

Probability a person support the measure given that the person is a republican: P(SM | R) = 0.3

Now for the Theorem of total probabilities we have

(a) P(SM) = P(SM | D)P(D)+P(SM | R)P(R) = (0.75)(0.4)+(0.3)(0.6) = 0.48

and for the Bayes' Formula we have

(b) P(D | SM) = P(SM | D)P(D)/[P(SM | D)P(D)+P(SM | R)P(R)] = (0.75)(0.4)/0.48 = 0.625

Now let SMc be the complement of support the measure, i.e.,

P(SMc | D) = 0.25 : Probability a person does not support the measure given that the person is a democrat

P(SMc | R) = 0.7: Probability a person does not support the measure given that the person is a republican,

and also for the Bayes' Formula we have

(c) P(D | SMc) = P(SMc | D)P(D)/[P(SMc | D)P(D)+P(SMc | R)P(R)] = (0.25)(0.4)/[(0.25)(0.4)+(0.7)(0.6)] = 0.1/(0.52)=0.1923

4 0

3 years ago

Find the slope of every line that is parallel to the line on the graph.

melamori03 [73]

Answer:

-1/5

Step-by-step explanation:

What are parallel lines?

Lines that are parallel never touch. They can extend infinitely and they will still never touch. In order for this to happen the slope of the two lines must be the same. So if we want to find the slope of every line that is parallel to the line on the graph, we simply find the slope of the line of the graph.

Finding the slope

We can find the slope using the following formula:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

Where the x and y values are derived from any given points on the line (x1,y1) and (x2,y2)

Here the given points are (-5,-1) and (0,-2)

So we have (x1,y1) = (-5,-1) meaning x1 = -5 and y1 = -1

We also have (x2,y2) = (0,-2) meaning x2 = 0 and y2 = -2

Now we plug these values into the formula

Recall formula : $Slope=\frac{y_2-y_1}{x_2-x_1}$

==> Plug in x1 = -5 , y1 = -1 , x2 = 0 and y2 = -2

$Slope=\frac{-2-(-1)}{0-5}$

==> simplify numerator and denominator

$slope = \frac{1}{-5}$

So the slope of the line is -1/5

This means the slope of any parallel line to that line would also have a slope of -1/5

8 0

2 years ago

You have a math test. you plan to study 5/6 hour tonight and 3/4 hour tomorrow.

alekssr [168]

5/6 of an hour is 50 Minutes

3/4 of an hour is 45 Minutes

6 0

3 years ago