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Tems11 [23]
3 years ago
12

The one on the bottom asap! 6th grade math pre-ap

Mathematics
1 answer:
Nikitich [7]3 years ago
6 0
100 puzzles were sold
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3m - (7m+12) =2 (m-3)
viktelen [127]
Remove parentheses
3m - 7m+12 = 2 m-3

collect like terms
3m-7m-12 = 2m-6

move terms
-4m - 12 = 2m-6

collect the like terms and calculate
-4m-2m = -6+12

divide both sides by -6
-6m=6

m= -1

7 0
3 years ago
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
I think of a number, multiply it by 3, and add 2; the total is 32. Which expression represents this?
Softa [21]
3x+2=32 and x=10 just if you're wondering.
4 0
3 years ago
Read 2 more answers
How do I graph this someone plz tell me.
hodyreva [135]
Easy. your starting point is going to be at -2 on the y-axis. then from that point (-2) you're going to go down 1 and then over 2. then draw a straight line through those two points. The line should be a negative line.
7 0
3 years ago
Mrs. Smith went to the grocery store and bought the fruit below.
lukranit [14]
The answer is 12.69, you just need to put all the groceries together!!
7 0
3 years ago
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