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Veseljchak [2.6K]
3 years ago
7

Find the sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2.

Mathematics
1 answer:
azamat3 years ago
3 0
First one is 5x-2 Second one is 8-3x and Third is -5x*4
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-4w+18w+2=10-6w <br><br> What is w?
kiruha [24]

Answer:

w = .5

Step-by-step explanation:

-4w + 18w+2=10 -6w

14w + 2 -2 = 10 -2 -6w

14w + 2w = 8 - 2w + 2w

16w = 8

16w/16 = 8/16

w = .5

8 0
3 years ago
Read 2 more answers
A grinding wheel manufacturer designed a new grinding wheel. Repeated tests were conducted on wheels of approximately the same w
sergejj [24]

Answer:

a) a=225 +0.674*16.5=236.121

So the value of height that separates the bottom 75% of data from the top 25% is 236.121.  

b) P(X \geq 3) = 1-P(X

c) P(\bar X \geq 225)=1- P(\bar X

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".  

2) Part a

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

X \sim N(225,16.5)  

Where \mu=225 and \sigma=16.5

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

P(X>a)=0.25   (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 0.75 of the area on the left and 0.25 of the area on the right it's z=0.674. On this case P(Z<0.674)=0.75 and P(z>0.674)=0.25

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=0.674=\frac{a-225}{16.5}

And if we solve for a we got

a=225 +0.674*16.5=236.121

So the value of height that separates the bottom 75% of data from the top 25% is 236.121.  

Part b

For this case we know that the individual probability of select one wheel with a cutting rate higher than the calculated value in part a is 0.25, and we select n =10 so then we can use the binomial distribution for this case:

X\sim Bin(n=10, p=0.25)

And we want this probability:

P(X \geq 3) = 1-P(X

We can find the individual probabilities like this:

P(X=0)=(10C0)(0.25)^0 (1-0.25)^{10-0}=0.0563

P(X=1)=(10C1)(0.25)^1 (1-0.25)^{10-1}=0.1877

P(X=2)=(10C2)(0.25)^2 (1-0.25)^{10-2}=0.2816

P(X \geq 3) = 1-P(X

Part c

For this case we know that the distribution for the sample mean is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

And we want this probability:

P(\bar X \geq 225)

And for this case we can use the complement rule and the z score given by:

z= \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

And if we replace we got:

P(\bar X \geq 225)=1- P(\bar X

4 0
3 years ago
Which table shows the same relationship as y = -x + 3x?
Sav [38]

Answer:

The answer is C

7 0
3 years ago
I have 6 thousands 12 tens 9 hundreds 10 ones and 3 tenths what number am i
mixer [17]

Here let us first write the value of each number:

6 thousands means 6*1000=6000.

9 hundreds means 9*100=900.

12 tens means 12*10 =120

10 ones means 10*1 =10

3 tenths means 3/10 =0.3

Now we just have to add all these values to get the final number.

adding 6000 + 900 +120 +10 +0.3 = 7030.3

So the final number is 7030.3

4 0
3 years ago
Need some answers for this one
Schach [20]

Answer:

20.6

Step-by-step explanation:

Since the diameter of each circle is 4, the dimensions of the rectangle is 8x12

The area of the whole rectangle is 96

Now we need to find the area of the circles

The area of 1 circle is 2^{2} *\pi =12.56...

So the area of all 6 circles is 12.56*6= 75.39...

So to find the area of yellow you have to subract the area of circle from the overall area of the rectangle

96-75.4=20.6

4 0
3 years ago
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