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4 years ago

Solve for y. 7y - 6y - 10 = 13

1 answer:

8 0

Start off by combining like terms (your y's).
7y - 6y - 10 = 13
y - 10 = 13

Now you need to get y by itself so add 10 to both sides

y - 10 = 13
+10 +10

y = 23

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Zach keeps his pet chameleon Pinky in a terrarium with the dimensions 8 x 20. There are three inches of sand in the bottom of th

vodka [1.7K]

Step 1
find the volume of sand
volume of sand=8*20*3------------>Volume of sand=480 in³

Volume of sand in the new terrarium=10*24*h
where
h------------> is the deep in the new terrarium
remember that
the volume of sand is the same
so
10*24*h=480----------> h=480/(10*24)-----------> h=2 in

the answer is 2 in

5 0

4 years ago

Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers

Alenkinab [10]

Given:

$\sigma_A=3$

$n_A=6$

$\sigma_B=5$

$n_B=4$

$\overline{x}_A=\overline{x}_B$

To find:

The variance. of combined set.

Solution:

Formula for variance is

$\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}$ ...(i)

Using (i), we get

$\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}$

$(3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}$

$9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}$

$54=\sum (x_i-\overline{x}_A)^2$

Similarly,

$\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}$

$(5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}$

$25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}$

$100=\sum (x_i-\overline{x}_B)^2$

Now, after combining both sets, we get

$\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}$

$\sigma^2=\dfrac{54+100}{6+4}$

$\sigma^2=\dfrac{154}{10}$

$\sigma^2=15.4$

Therefore, the variance of combined set is 15.4.

7 0

3 years ago

What is the probability that a fun size m&m bag will weigh more than .040 pounds?

damaskus [11]

.040 pounds is .64 ounces.
Each bag is 10.53 ounces.
100% probability

3 0

3 years ago

What are the solutions to the quadratic equation x2 – 16 = 0?

exis [7]

Answer:

2nd choice: x=4 and x=-4

Step-by-step explanation:

x^2 - 16 = 0 can be simplified to (x-4)(x+4)=0

x-4 = 0 so x = 4

and x + 4 = 0 so x = -4

4 0

3 years ago

Read 2 more answers

What is the output, or dependent variable or quantity? Х f(x) у DONE

Ipatiy [6.2K]

Answer:

x is the input, or independent variable and f(x) is the output, or dependent variable or quantity. f(2) represents the output (y-value) when x = 2. The value of f(2) is 2.

Step-by-step explanation:

If the values of a variable depends on the other variable, then it called dependent variable.

If the value of a variable does not depend on the other, then it is called independent variable.

If a function is f(x)=x, then x is an independent variable and f(x) is a dependent variable.

The given function is

Here, x is the input, or independent variable and f(x) is the output, or dependent variable or quantity.

The notation f(a) represents the output (y-value) when x = a. So, f(2) represents the output (y-value) when x = 2.

Substitute x=2 in the given function.

The value of f(2) is 2.

3 0

3 years ago