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Ilya [14]
3 years ago
5

Suppose A and B represent two different schools populations where A>B abd A and B must be greater than 0. Which of the follow

ing expressions is the largest? Explain why. Show all work necessary.
A.2(A+B)
B. A+B^2
C. A^2+B^2
D. A^2-B^2
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
8 0
Hmm, one way we can do this is by assigning numbers to each

A=4 and B=3
A>B because 4>3

so

A. 2(A+B)=2(4+3)=2(7)=14
B. A+B^2=4+3^2=4+9=13
C. A^2+B^2=4^2+3^2=16+9=25
D. A^2-B^2=4^2-3^2=16-9=7

the largest is 25 so C
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Omar has four times as many apples as bananas. He has 30 pieces of fruit in all. If a represents the number of apples and b repr
zimovet [89]

Answer:

6 bananas, 24 bapples.

Step-by-step explanation:

If Omar has 4 times as many apples as bananas: then if a is the number of apples and b is the number of bananas, then:

Let's say there are b bananas

Therefore there must be 4b apples

In total that gives 5b fruit.

Therefore since there are 30 fruit in all:

5b = 30

Therefore, b = 6

And since there are 30 fruit overall, 30 - 6 = 24

So there 24 apples overall and 6 bananas.

8 0
3 years ago
If the random variable X is normally distributed with mean of 50 and standard deviation of 7, find the 9th percentile.
notka56 [123]

Answer:

The 9th percentile is 40.52.

Step-by-step explanation:

We are given that the random variable X is normally distributed with a mean of 50 and a standard deviation of 7.

Let X = <u><em>the random variable</em></u>

The z-score probability distribution for the normal distribution is given by;

                            Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean = 50

           \sigma = standard deviation = 7

So, X ~ Normal(\mu=50, \sigma^{2} = 7^{2})

<u></u>

<u>Now, the 9th percentile is calculated as;</u>

            P(X < x) = 0.09         {where x is the required value}

            P( \frac{X-\mu}{\sigma} < \frac{x-50}{7} ) = 0.09

            P(Z < \frac{x-50}{7} ) = 0.09

Now, in the z table the critical value of x that represents the below 9% of the area is given as -1.3543, i.e;

                     \frac{x-50}{7}=-1.3543

                     x-50=-1.3543 \times 7

                     x=50 -9.48

                      x = 40.52

Hence, the 9th percentile is 40.52.

5 0
3 years ago
Give the slope of y + 2 = 3(x-7) and a point on the line
Afina-wow [57]

Answer:

y=3x-23  (0,-23)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
In right triangle ABC, angle B is a right angle and sin C = x.<br><br> sin A =
Romashka-Z-Leto [24]
Comment
The answer to this depends on what you have been told. I don't want to go into a whole lot of talking when you don't need it. 

It also depends where C is (in what quadrant). If it is just an ordinary triangle, not drawn in a coordinate system, then the answer will be plus.

Step One
To made things simple, draw ABC with BC on the horizontal.
Label the left acute angle as C and the other end of the hypotenuse as A.
 
Step Two
Label the hypotenuse as having a length of 1 which means that x is less than 1.

Step 3
Label len BC as x. You should have AC = 1 and AB = x

Step 4
Find CB
Use the pythagorean theorem to find CB.
a^2 + b^2 = c^2
c = 1
b = AB = x
a = ??

a^2 + x^2 = 1^1 Subtract x^2 from both sides.
a^2  = 1 - x^2 Take the square root of both sides.
sqrt(a^2) = sqrt(1 - x^2)
a = sqrt(1 - x^2)

Answer
sin(A) = sqrt(1 - x^2)/1

Comment.
Any length can be given to the hypotenuse. Suppose it is y = z*x . Then AB can be reduced to  x by dividing all sides by z.

Using a much simpler example suppose you are given a right triangle of 6 8 and 10. To reduce the hypotenuse to 1 you would divide by 10. to give you 0.6 0.8 and 1. That would not change the value of sin(C) and in that case you would call x = 0.8 or x = 0.6 depending on how you drew the triangle.

I'm sorry, this got very long because I had to get it correct. 

The key step is getting sqrt(1 - x^2)

If this is giving you a royal headache, please PM me and I'll try and say another way. 
7 0
3 years ago
Read 2 more answers
Maddie is buying flour to make cookies for a bake sale. At the store a 3 pound bag costs $3.69. She needs 25 pounds of flour to
belka [17]

Cost of 25 pound flour is $30.75.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Price of 3 pound flour = $3.69

She needs 25 pounds of flour to make enough cookies for a bake sale.

Now, Price of 3 pound flour = $3.69

Hence, Cost of 1 pound flour = $3.69 ÷ 3 = $1.23

So, Cost of 25 pound flour = 25 x $1.23

                                          = $30.75

Therefore, Cost of 25 pound flour is $30.75.

Learn more about the multiplication visit:

brainly.com/question/24613775

#SPJ1

5 0
10 months ago
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