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Ede4ka [16]
3 years ago
7

-x+4= 2x+1 equation steps

Mathematics
2 answers:
kykrilka [37]3 years ago
4 0

-x + 4 = 2x + 1

add x to both sides

4 = 3x + 1

subtract 1 from both sides

3 = 3x

dived 3 from both sides

1 = x

kirza4 [7]3 years ago
3 0

Answer:

Step-by-step explanation: x=3

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The lifetime of a certain type of battery is normally distributed with mean value 10 hours and standard deviation 1 hour. There
Oksi-84 [34.3K]

Answer:

z=1.64

And if we solve for a we got;

10 +1.64*1=11.64

So the value of height that separates the bottom 95% of data from the top 5% is 11.64  

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 certain lifetime of a population, and for this case we know the distribution for X is given by:

X \sim N(10,1)  

Where \mu=10 and \sigma=1

For this part we want to find a value a, such that we satisfy this condition:

P(X>a)=0.05   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64. On this case P(Z<1.64)=0.95 and P(z>1.64)=0.05

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=1.64

And if we solve for a we got;

10 +1.64*1=11.64

So the value of height that separates the bottom 95% of data from the top 5% is 11.64  

4 0
3 years ago
3 10 in . = 7 8 mi . what is the unit rate
Sav [38]

Answer: (3/10) in = (7/8) mi

1 in = (7/8) mi ÷ (3/10)

      = 7/8 * (10/3) = 70/24

1 in = (70/24) mi

It means every 1 inch on the map drawing represents (70/24) miles ≈ 2.917 miles in reality.  

Hope this helps :)

Please mark me as Brainliest

6 0
3 years ago
PLEASE HELP [PLEASE] YOUR SO NICE. BRAINLIEST WILL BE REWARDED PLASE HELP
s344n2d4d5 [400]
The correct answer is D)
5 0
3 years ago
Solve the system of equations.
MAXImum [283]

Answer:

D. (-2, -6) and (5,15)

Step-by-step explanation:

When you set the equations together, you get x^2-3x-10. You then set this equation equal to zero and get (x-5)(x+2) or x=-2 and x=5. Then, plug these x-values into each equation to get your y-values.

8 0
2 years ago
Would someone mind answering this?
saveliy_v [14]

Answer:

d

Step-by-step explanation:

There is not enough information to solve this question

6 0
3 years ago
Read 2 more answers
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