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3 years ago

Find the mean of this data set: {– 78, -12, 3, – 44}

Mathematics

1 answer:

blagie [28]3 years ago

5 0

Answer:

Answer: A. -32.75

$\dashrightarrow{ \tt{mean = \frac{ \sum f(n)}{n} }} \\$

• f(n) are the values of the set

• n is the number of items

$\dashrightarrow \: { \tt{mean = \frac{ - 78 + ( - 12) + 3 + ( - 44)}{4} }} \\ \\ \dashrightarrow \: { \tt{ \frac{ - 131}{4} }} \\ \\ \dashrightarrow \: { \boxed{ \tt{mean = - 32.75}}}$

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Find the center, vertices, and foci of the ellipse with equation x squared divided by 400 plus y squared divided by 625 = 1

Inessa05 [86]

Answer:

x^2/400 + x^2/625

(x-0)^2/400) +(y-0^2/625)

x^2=400

X=sqrt. 400

x = 20

y^2=625

y = sqrt. 625

y= 25

a^2-c^2=b^2

sqrt 400-625 = c

20-25=c

The correct answer is c=-5

(-5,0)

(5,0)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

R/3 = 7

dangina [55]

R=21. 21/3=7. To check your answer, you can do 7x3 and it'll equal 21.

7 0

3 years ago

Read 2 more answers

28 squared minus 39x minus 80 equals 0

Rudik [331]

Answer:

x = 704/39 ( <----Fraction)

Step-by-step explanation:

28 squared minus 39x minus 80 equals 0

784-39x-80=0 evaluate the power

704-39x=0 Subtract the numbers

-39x=-704 move the constant to the right hand side and change it's sign

Divide on both side to get x = 704/39

3 0

3 years ago

Please help! Thanks in advance.

alukav5142 [94]

In this problem, we need to plug in the given x values for $f(x)=0$ and find a and b.

When we plug in 1, we get: $2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0$

Simplify:
$2 - 5 - 14 + a + b = 0$
$- 17 + a + b = 0$
$a + b = 17$

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
$2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0$
$512 - 320 - 224 + 4a + b = 0$
$- 32 + 4a + b = 0$
$4a + b = 32$

Now we have our second one. We can combine them:
$a + b = 17 \\ 4a + b = 32$

I use elimination method which is easier here.

Multiply the top equation by -1: $- a - b = - 17 \\ 4a + b = 32$

Add them up:
$3a = 15$

Simplify:
$a = 5$

Now we have a, we can plug in one of those equations to find b:
$5 + b = 17$
$b = 17 - 5$
$b = 12$

So, the answers are $a=5$ and $b=12$ .

6 0

3 years ago

Write an equation in slope intercept form for the line that passes through (2,-2) and is parallel to y=-5/2x+5

DENIUS [597]

$y=mx+b\\y=x-2$

Only y= x - 2 intercepts x-axis at 2 and y-axis at -2. Thus meaning that they intercept oppositely.

Find if both graphs are parallel, that means the equation must be false.

$x-2=-\frac{5}{2}x+5$

Multiply whole equation by 2 to get rid of the fractional 2.

$2x-(2)(2)=-\frac{5}{2}(2)(x)+5(2)\\ 2x-4=-5x+10\\2x-4+5x-10=0\\7x-14=0\\7x=14\\x=2$

Well, that doesn't seem to be parallel. This is called one solution answer. Both graphs intercept at (2,0). There are no linear graphs that intercept at (2,-2) except for y = x-2 so there are no graphs with (2,-2) that are parallel to the equation y = -5x/2+5

8 0

3 years ago