Please help! Brainliest answer will be given! Thanks! Factor completely x2 + 64

Solve the problem. Make sure your answer is in simplest form. 3/16 x 4/21 = ?

Irina18 [472]

Answer:

$\frac{1}{28}$

Step-by-step explanation:

The result is given by means of some algebraic handling:

$\frac{3}{16}\times \frac{4}{21}$

$\frac{12}{336}$ - Multiplication of rationals.

$\frac{6}{168}$ - Dividing each term by 2.

$\frac{3}{84}$ - Dividing each term by 2.

$\frac{1}{28}$ - Dividing each term by 3.

8 0

3 years ago

Helpppppp$$$!!!!!!!!!!!!!!!!! Plz

insens350 [35]

9514 1404 393

Answer:

B

Step-by-step explanation:

Given the triangle congruence statements, the segment and angle congruence statements must refer to corresponding vertices. Corresponding vertices are listed in the same order in the triangle congruence statement.

The one FALSE statement in the bunch is ...

$\overline{OD}\cong\overline{AL}$

__

The true statements for these segments would be ...

$\overline{OD}\cong\overline{JL}\\\\\overline{CD}\cong\overline{AL}$

5 0

3 years ago

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:

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