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enyata [817]
3 years ago
9

16x^2+25 factor completely

Mathematics
1 answer:
SSSSS [86.1K]3 years ago
6 0

Answer:

You can't factor further

Hope this helps!

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What are the x- and y-intercepts of the line?. 2x – 3y = 12. A. x-intercept –6, y-intercept 4. B. x-intercept –4, y-intercept 6.
tigry1 [53]
D. x-intercept 6, y-intercept –4.
7 0
3 years ago
Read 2 more answers
The distribution of a sample of the outside diameters of PVC pipes approximates a normal distribution. The mean is 14.0 inches,
lakkis [162]

Answer:

A. 13.9 and 14.1 inches

See explanation below.

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

X \sim N(14,0.1)  

Where \mu=14 and \sigma=0.1

If we want the middle 68% of the data we need to have on the tails 16% on each one

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

P(X>a)=0.84   (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 0.16 of the area on the left and 0.84 of the area on the right it's z=-0.994. On this case P(Z<-0.994)=0.16 and P(z>-0.994)=0.84

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=-0.994

And if we solve for a we got

a=14 -0.994*0.1=13.9

And since the distribution is symmetrical for the upper limit we can use z = 0.994 and we have:

z=0.994

And if we solve for a we got

a=14 +0.994*0.1=14.1

So the correct answer for this case would be:

A. 13.9 and 14.1 inches

3 0
3 years ago
sand falls from an overhead bin and accumulates in a conical pile with a radius that is always four times its height. suppose th
blagie [28]

Answer:

\frac{dv}{dt} =7239.168 cm/sec

Step-by-step explanation:

From the question we are told that:

Rate \frac{dh}{dt}=1cm

Height h=12cm

Radius r=4h

Generally the equation for Volume of Cone is mathematically given by

V=\frac{1}{3}\pi r^2h

V=\frac{1}{3}\pi (4h)^2h

Differentiating

\frac{dv}{dt} =\frac{16}{3}\pi3h^2\frac{dh}{dt}

\frac{dv}{dt} =\frac{16}{3}*3.142*3*12^2*1

\frac{dv}{dt} =7239.168 cm/sec

7 0
2 years ago
The Layer of the upper mantle that can flow is called the what?
inna [77]
Your answer is the athenosphere.

5 0
3 years ago
11 th term of the following geometric sequence.<br> 10,50,250,1250
Natasha2012 [34]

Answer:

97,656,250

Step-by-step explanation:

The first term, a(1), is 10.  The next is 5 times greater.  And so on.  Thus, the common ratio is 5, and the general formula for this sequence is

a(n) = a(1)*5^(n -1).

Therefore,

a(11) = 10*5^(11 - 1) = 10*5^10  =  97,656,250

6 0
2 years ago
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