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Marina CMI [18]
3 years ago
15

Solve for x. Enter your answer as an integer or fraction. -9 -4x=7

Mathematics
2 answers:
jeka57 [31]3 years ago
6 0

-9 -4x = 7

add 9 to both sides in order to isolate the x

-4x = 16

divide by -4

x = -4

il63 [147K]3 years ago
5 0

Hey there! :)

-9 - 4x = 7 ; find x.

In order to find the value of x, we must isolate the variable. This simply means that we need to get x alone on its own side of the equal sign.

We can start by adding 9 to both sides.

-9 + 9 - 4x = 7 + 9

Simplify!

-4x = 16

Then, divide both sides by -4.

-4x ÷ -4 = 16 ÷ -4

Simplify.

x = -4

Your final answer is : x = -4

Hope this helped! :)

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Before the distribution of certain statistical software, every fourth compact disk (CD) is testedfor accuracy. The testing proce
pishuonlain [190]

Answer:

P(T∩E) = 0.017

Step-by-step explanation:

Since every fourth CD is tested. Thus if T is the event that represents 4 disks being tested,

P(T) = 1/4 = 0.25

Let Fi represent event of failure rate. So from the question,

P(F1) = 0.01 ; P(F2) = 0.03 ; P(F3) =0.02 ; P(F4) = 0.01

Also Let F'i represent event of success rate. And we have;

P(F'1) = 1 - 0.01 = 0.99 ; P(F'2) = 1 - 0.03 = 0.97; P(F'3) = 1 - 0.02 = 0.98; P(F'4) = 1 - 0.01 = 0.99

Since all programs run independently, the probability that all programs will run successfully is;

P(All programs to run successfully) =

P(F'1) x P(F'2) x P(F'3) x P(F'4) =

0.99 x 0.97 x 0.98 x 0.97 = 0.932

Now, that all 4 programs failed will be = 1 - 0.932 = 0.068

Let E be denote that the CD fails the test. Thus P(E) = 0.068

Now, since testing and CD's defection are independent events, the probability that one CD was tested and failed will be =P(T∩E) = P(T) x P(E)= 0.25 x 0.068 = 0.017

8 0
3 years ago
Write each mixed number as a decimal.<br> 1.) 4 1/5 <br> 2.) 12 14/15<br> 3.) 5 5/32
bezimeni [28]
I showed you how to do it in the picture.

<span>Answers:
1.) 4 1/5 = 4.22.) 12 14/15 = 12.93 (3 is repeating so draw a line on top of just the 3)<span>3.) 5 5/32 = 5.156 (the 56 is repeating so draw a line on top of just the 56)

Hope this helps you the </span><span>way you want! </span><span>-Jabba</span></span>

6 0
2 years ago
Read 2 more answers
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea level, as a function of time is
balu736 [363]
If h is m above the ocean and your trying to find when the rocket reaches that ocean… as the function gives the height above the ocean at a given time, when the height equals 0 the rocket will have reached the ocean so solve for t when h=0. working out in the photo. i got t=48.88seconds

4 0
2 years ago
!SUBSTITUTION METHOD!<br><br>6y - 5z = -8 <br>3z = -6 <br>4x - 3y - 2z= 21​
hichkok12 [17]

Answer:

<h2>x = 2 </h2><h2>y = - 3</h2><h2>z = - 2</h2>

Step-by-step explanation:

6y - 5z = -8 .......... Equation 1

3z = -6 ................... Equation 2

4x - 3y - 2z= 21...... Equation 3

<u>First solve for z in Equation 2</u>

That's

3z = - 6

Divide both sides by 3

<h3>z = - 2</h3>

Next substitute the value of z into Equation 1 in order to find y

We have

6y - 5(-2) = - 8

6y + 10 = - 8

6y = - 8 - 10

6y = - 18

Divide both sides by 6

<h3>y = - 3</h3>

Finally substitute the values of y and z into Equation 3 to find the value of x

That's

4x - 3(-3) - 2(-2) = 21

4x + 9 + 4 = 21

4x + 13 = 21

4x = 21 - 13

4x = 8

Divide both sides by 4

<h3>x = 2</h3>

So the solutions are

<h3>x = 2 </h3><h3>y = - 3</h3><h3>z = - 2</h3>

Hope this helps you

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3 years ago
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