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3 years ago

1

Mathematics

2 answers:

Sindrei [870]3 years ago

7 0

Answer:

Step-by-step explanation:

88+100+90+87=365

365 divided by 4=91.25

the answer is 88

alina1380 [7]3 years ago

4 0

The answer is 88 if you take the average as the mean.
100 + 90 + 88 + 87 = 365 / 4 is 91.25 which rounds down to 91 percent. If you want to get exactly 91% the answer would be 87 as you do 100+ 90+ 87 + 87 which is 364 / 4 which is 91...
Hope this helps!

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Help guys make p da subject of the formula

Basile [38]

Answer:

$p=\dfrac{m}{k-s}$

Step-by-step explanation:

When they ask you to make a variable the "subject of the formula", they're basically asking you to build a "machine" for it. In the expression $y=mx+b$ , for instance, if we know what m, x, and b are, we can plug them all in and out comes a value for y! To build that machine, we need to get it by itself on one side of the equation.

So, we want to build this machine for p, and the equation we have to build it out of is

$1=\dfrac{pk}{m+sp}$

One think we can immediately say about this equation: for a fraction to be equal to one, its numerator and denominator have to be equal to each other. So we can say

$m+sp=pk$

Ok, what next? Well, if we want p by itself, we need to somehow peel it off of that sp and pk. Let's collect them on the right side by subtracting sp from both sides:

$m=pk-sp$

p is a common factor of both sp and pk, so we can peel it away using the distributive property:

$m=p(k-s)$

And from here, we can divide both sides by $k-s$ and we'll have p as our subject:

$\dfrac{m}{k-s}=p$ or $p=\dfrac{m}{k-s}$

So if we know m, k, and s, we can easily solve for p. If m = 4, k = 2, and s = 0:

$p=\frac{4}{2-0} =\frac{4}{2}=2$

3 0

2 years ago

Two solutions of the equation Ax+By = 1 are (2, -1) and (-3,-2). Find A and B.

kati45 [8]

Answer:

Substitute in the values of both given coordinates & form 2 equations:

$\left \{ {{A(2)+B(-1)=1} \atop {A(-3)+B(-2)=1}} \right. \\\\=\left \{ {{2A-B=1} \atop {-3A-2B=1}} \right.$

Find the value of B from the equation 2A - B = 1:

$2A-B=1\\-B=1-2A\\B=2A-1$

Substitute in the B-value to the other equation:

$-3A-2B=1\\-3A-2(2A-1)=1\\-3A-4A+2=1\\-7A=1-2\\-7A=-1\\A=\frac{-1}{-7} =\frac{1}{7}$

Find the B-value using the equation from before:

$B=2A-1=2(\frac{1}{7})-1=\frac{2}{7} -\frac{7}{7} =-\frac{5}{7}$

Therefore the equation Ax + By = 1 would equal:

$\frac{1}{7} x-\frac{5}{7} y=1$

4 0

3 years ago

A video game company surveys a random sample of 225 of its best customer and finds that the average gamer spends $606 a year on

victus00 [196]

Answer:

Multi facets

Step-by-step explanation:

First company surveys best customers so they are highest spending

First company standard deviation is high @ $62 so their spends are $606 a year plus or minus $180 (rounded up)

Second company has a Random sample so includes all customers

Second company has larger number of responses

Second company has a range of plus or minus $40

6 0

3 years ago

Each polygon pair is similar. Find the missing side length

ohaa [14]

I'll do problem 1 to get you started.

The vertical sides are 3 and x for the left and right figures.

The horizontal sides are 15 and 60 for the left and right figures.

The corresponding sides form fractions which are equal (due to the nature of the similar polygons)

3/x = 15/60

3*60 = x*15 ... cross multiply

180 = 15x

15x = 180

x = 180/15 .... divide both sides by 15

x = 12

----------

Another way you can see this is note how the jump from 15 to 60 is "times 4", so the jump from 3 to x must also be "times 4" to keep the same proportion

3 ---> x = 3*4 = 12

Or you could set up the proportion

60/15 = x/3

4 = x/3

x/3 = 4

x = 3*4

x = 12

-----------

<h3>Final Answer: 12</h3>

3 0

3 years ago

Three of the four vertices of a rectangle are located at (4, 2), (7, 2) and (4, 8). a. What are the coordinates of the missing v