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erica [24]
3 years ago
9

11. Solve 5(2x – 3) = x – 15 + 9x for x.

Mathematics
1 answer:
zepelin [54]3 years ago
4 0

Answer:

\boxed{\bold{True \ For \ All \ x}}

Explanation:

[ Step One ] Group Like Terms

\bold{5\left(2x-3\right)=x+9x-15}

[ Step Two ] Combine Similar Elements: \bold{x+9x=10x}

\bold{5\left(2x-3\right)=10x-15}

[ Step Three ] Expand \bold{5\left(2x-3\right): \ 10x-15}

\bold{10x-15=10x-15}

[ Step Four ] Add 15 To Both Sides

\bold{10x-15+15=10x-15+15}

[ Step Five ] Simplify

\bold{10x=10x}

[ Step Six ] Subtract 10x From Both Sides

\bold{10x-10x=10x-10x}

[ Step Seven ] Simplify

\bold{0=0}

[ \boxed{\bold{Final \ Answer}} ]

➤ \bold{Both \ Sides \ Are \ Equal, \ True \ For \ All \ x}

\boxed{\bold{Mordancy}}

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An automotive part manufacturer regularly makes shipments of 400 parts to merks auto repair. On average, 14 of the 400 parts are
Radda [10]

Answer:

no matter how many parts are in the shipment, 3.5% of the parts will be defective.

hope this helped, if so hit that thanks button ;D

Step-by-step explanation:


4 0
3 years ago
A counselor records the number of disagreements (per session) among couples during group counseling sessions. If the number of d
Shalnov [3]

Answer:

P(X>4)=P(\frac{X-\mu}{\sigma}>\frac{4-\mu}{\sigma})=P(Z>\frac{4-4.4}{0.4})=P(z>-1)

And we can find this probability with the complement rule:

P(z>-1)=1-P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the disagreements of a population, and for this case we know the distribution for X is given by:

X \sim N(4.4,0.4)  

Where \mu=4.4 and \sigma=0.4

We are interested on this probability

P(X>4)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>4)=P(\frac{X-\mu}{\sigma}>\frac{4-\mu}{\sigma})=P(Z>\frac{4-4.4}{0.4})=P(z>-1)

And we can find this probability with the complement rule:

P(z>-1)=1-P(z

3 0
3 years ago
What is the midpoint of (-23,-14) and (-18,2)
zloy xaker [14]

Given two coordinates point 1 as (-23,-14) and point 2 as(-18,2).

To find the midpoint we would use the formula below;

\text{midpoint(x,y)}=(\frac{x_1+x_2_{}_{}}{2},\frac{y_1+y_2}{2})

Where x1=-23, x2=-18, y1=-14, y2=2

We would substitute the values into the midpoint formula.

\begin{gathered} \text{midpoint =(}\frac{-23-18}{2},\frac{-14+2}{2}) \\ =(-\frac{41}{2},-6) \end{gathered}

Therefore, the answer is

\text{midpoint}=(-\frac{41}{2},-6)

7 0
1 year ago
Please help me with this question.
ruslelena [56]

Answer:

Step-by-step explanation:

-1 ≤ x < 3    Solution set = {-1, 0 ,1 , 2}

-2 < x < 2   Solution set  = {-1 , 0 , 1}

Integer values that satisfies both inequalities are -1 , 0 , 1

6 0
3 years ago
Read 2 more answers
cindy is training for a race. she ran 3/5 mile each day for 7 days. how many miles did she ran in those 7 days
anyanavicka [17]
Multiply the two numbers

3/5*7/1= 21/5

21/5= 4 1/5 miles

Answer: 4 1/5 miles
3 0
3 years ago
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