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lisov135 [29]
3 years ago
10

Solve for the following equation for x: 6(4x+5x)=3(x+8)+3 round to the nearest hundredth

Mathematics
1 answer:
Lelu [443]3 years ago
6 0

Answer:

Decimal Form: x= 0.142857  

Exact Form: x= -1/7

Step-by-step explanation:


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How to find the fraction and decimal of 66 and 2/3?
puteri [66]
When converting to a fraction u multiply 66*3 getting 198 and u add the numerator getting 200 you u keep the demomenator which is 3 so 66and 2/3 is 200/3.
7 0
2 years ago
Find the Surface Area and Volume of Sphere with radius 12 cm.
Gnom [1K]
Radius:r=12cm\\\\Surface\ area:\\A=4\pi r^2\to A=4\pi\cdot12^2=4\pi\cdot144=576\pi\ (cm^2)\\\\Volume:\\V=\frac{4}{3}\pi r^3\to V=\frac{4}{3}\pi\cdot12^3=\frac{4}{3}\pi\cdot1728=4\pi\cdot576=2304\pi\ (cm^3)
8 0
2 years ago
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One of the assumptions underlying the theory of control charting (see Chapter 16) is that successive plotted points are independ
Illusion [34]

Question has missing details

One of the assumptions underlying the theory of control charting (see Chapter 16) is that successive plotted points are independent of one another. Each plotted point can signal either that a manufacturing process is operating correctly or that there is some sort of malfunction. Even when a process is running correctly, there is a small probability that a particular point will signal a problem with the process. Suppose that this probability is 0.05. What is the probability that at least one of 10 successive points indicates a problem when in fact the process is operating correctly?

Answer:

The probability that at least one of 10 successive points indicates a problem when in fact the process is operating is 0.4013

Step-by-step explanation:

Given

Let P = Probability that a point signals an error incorrectly = 0.05

Let Q = Probability that a point signals an error correctly

P + Q = 1 ---- Make Q the subject of formula

Q = 1 - P where P = 0.05

So, Q = 1 - P becomes

Q = 1 - 0.05

Q= 0.95

Solving for the probability that at least one of 10 successive points indicates a problem when in fact the process is operating.

If two events (P and Q) are independent

Then

P(P n Q) = P(P) * P(Q)

From De Morgan law;

P(P u Q) = 1 - P(P' n Q')

Where P(P u Q) represent the probability that at least one of 10 successive points

P(P' n Q') is calculated as follows;

P(P' n Q') = 0.95^10

P(P' n Q') = 0.59873693923837890625

So,

P(P u Q) = 1 - P(P' n Q') becomes

P(P u Q) = 1 - 0.59873693923837890625

P(P u Q) = 0.40126306076162109375

P(P u Q) = 0.4013 ----- Approximated

The probability that at least one of 10 successive points indicates a problem when in fact the process is operating is 0.4013

7 0
3 years ago
Tell whether the ordered pair (- 3, 0) is a solution of the given system. - 2x + 2y >= 4an y >= 2x - 6
alukav5142 [94]

Answer:

The ordered pair is a solution.

Step-by-step explanation:

Plug x = -3 and y = 0 into the 2 inequalities and see if they fit:

-2x + 2y >= 4

-2(-3) + 2(0) = 6   which is > 4 so this one fits.

y>= 2x - 6

0 >= 2*-3) - 6 = -12 which also fits.

8 0
3 years ago
Read 2 more answers
Penelope goes to work after school for 4.5 hours on Mondays, Tuesdays, and Fridays. She doesn’t have classes on Wednesdays or Th
iVinArrow [24]

Answer:

Her hourly rate is <u>$14</u>.

Step-by-step explanation:

Given:

Penelope goes to work after school for 4.5 hours on Mondays, Tuesdays, and Fridays.

She works 8 hours each on Wednesdays or Thursdays.

Now, to find her hourly rate.

So, total hours Penelope work on Mondays, Tuesdays, and Fridays:

4.5+4.5+4.5=13.5\ hours.

And, total hours she work on Wednesdays and Thursdays:

8+8=16\ hours.

Now,<em><u> the total hours each week she work:</u></em>

13.5+16=29.5\ hours.

<u><em>Total money she makes each week</em></u> = $413.

Now, to get the hourly rate we divide the total hours each week she work by total money she makes each week:

413\div 29.5

=\$14.

Therefore, her hourly rate is $14.

6 0
2 years ago
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