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3 years ago

Whats the answer I'm too tired lol

Mathematics

1 answer:

tangare [24]3 years ago

6 0

Answer:

Step-by-step explanation:

$\frac{4x^{2}}{12x^{2}-4}=\frac{4x^{2}}{4*3*x^{2}-4}\\\\=\frac{4x^{2}}{4*[3x^{2}-1]}\\\\=\frac{x^{2}}{3x^{2}-1}$

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In a family, each brother has as many sisters as brothers, but each sister has twice as many brothers as she has sisters. How ma

daser333 [38]

Answer:

4 brothers and 3 sisters

Step-by-step explanation:

Let x be the number of brothers and y be the number of sisters in the family.

1. Each brother has x-1 brothers and y sisters. If each brother has as many sisters as brothers, then

$x-1=y.$

2. Each sister has y-1 sisters and x brothers. If each sister has twice as many brothers as she has sisters, then

$2(y-1)=x.$

3. Solve the system of two equations:

$\left\{\begin{array}{l}x-1=y\\ \\2(y-1)=x\end{array}\right.\Rightarrow 2(y-1)-1=y,\\ \\2y-2-1=y,\\ \\2y-y=2+1,\\ \\y=3.$

Then

$x=y+1=3+1=4.$

4 0

3 years ago

PLZ HELP ASAP AREA OF A SECTOR

const2013 [10]

The fraction of a circle represented by the shaded region is:
S '/ S = ((8/5) * pi * r) / (2 * pi * r)
Rewriting we have:
S '/ S = ((8/5)) / (2)
S '/ S = 8/10
S '/ S = 4/5
Then, we can make the following rule of three:
(64/5) pi -------> 4/5
x ----------------> 1
Clearing x we have:
x = ((1) / (4/5)) * ((64/5) pi)
Rewriting:
x = (5/4) * ((64/5) pi)
x = (5/4) * ((64/5) pi)
x = 50.24
Answer:
The area of the complete circle is:
x = 50.24

4 0

3 years ago

Drag numbers to use a negative factor to factor the expression -59 + 15h - 25. Numbers may be used once, more than once, or not

koban [17]

Answer:

$-5(g - 3h + 5)$

Step-by-step explanation:

Given

$-5g + 15h - 25$

Required

Factor using a negative factor

Express each term as a factor of -5

$-5*g - 5*-3h - 5 * 5$

Factor out -5

$-5(g - 3h + 5)$

Hence:

The factored form of $-5g + 15h - 25$ is $-5(g - 3h + 5)$

7 0

3 years ago

Twice the difference between a number and 10 is equal to 6 times the number plus 16. What is the number?

oksano4ka [1.4K]

This is a lot of math to write.... so I'll just say the answer is -21 :D

8 0

3 years ago

Select True or False from each pull-down menu, depending on whether the corresponding statement is true or false.

Schach [20]

Answer:

1) FALSE

2) FALSE

3) TRUE

4) TRUE

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".

Part 1

The mean and standard deviation of a normally distributed random variable which has been standardized are one and zero, respectively.

The mean and the deviation for the normal standard distribution are:

$\mu=0, \sigma =1$

So then that's FALSE.

Part 2

Using the standard normal curve, the z−score representing the 10th percentile is 1.28.

We are looking for a value a, that satisfy this:

$P(X>a)=0.90$ (a)

$P(X$ (b)

We can find a z value that satisfy the condition with 0.10 of the area on the left and 0.90 of the area on the right it's z=-1.28. On this case P(Z<-1.28)=0.10 and P(Z>-1.28)=0.90

So that's FALSE.

Part 3

Let z1 be a z−score that is unknown but identifiable by position and area. If the symmetrical area between −z1 and +z1 is 0.9544, the value of z1 is 2.0

If we find this probability:

$P(-2.0< Z$

So on this case we can approximate to 0.9544. And that's TRUE.

Part 4

Using the standard normal curve, the z−score representing the 75th percentile is 0.67.

We are looking for a value a, that satisfy this:

$P(X>a)=0.25$ (a)

$P(X$ (b)

We can find a 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=0.67. On this case P(Z<0.67)=0.75 and P(Z>0.67)=0.25

So that's TRUE.

3 0

3 years ago

Whats the answer I'm too tired lol ​

Whats the answer I'm too tired lol