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2 years ago

Help !!!!

1 answer:

6 0

The mean of the data is 11

now we find the difference between the mean and each number
1, 2, 3, 0.5, 0.25, 1.25, 1.

now we square the numbers
1, 4, 9, 0.25, 0.0625, 1.

now we find the mean of the new numbers
which is 2.1875

2.1875 is your standard deviation.

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Triangle A B C is reflected across line m to form triangle A prime B prime C prime. Triangle A prime B prime C prime is rotated

Helga [31]

Answer:

reflection across line m
rotation about point A'

Step-by-step explanation:

The problem statement tells you exactly what the transformations are.

The first transformation is reflection across line m.

The second transformation is rotation about point A'.

_____

These are both rigid transformations, so ΔABC ≅ A'B''C''.

6 0

2 years ago

Whats the factorization of x2+3x−18

Alexeev081 [22]

Answer:

(X+6)x(X-3)

Step-by-step explanation:

X^2+6X-3X-18

Xx(X+6)-3(X+6)

(X+6)x(X-3)

big X is the variable

small x is multiplication sign

4 0

2 years ago

If a set of sample measurements has a mean of 100, a normal distribution, a standard deviation of 2, and control limits of 94 an

weeeeeb [17]

Answer: 99.73%

Step-by-step explanation:

Given : Mean : $\mu=100$

Standard deviation : $\sigma=2$

Let X be the random variable that represents the data values.

Formula for Z-score : $z=\dfrac{X-\mu}{\sigma}$

For x=94, we have

$z=\dfrac{94-100}{2}=-3$

For x=106, we have

$z=\dfrac{106-100}{2}=3$

The probability that the samples are between 94 and 106:-

$P(-3$

Hence, the percent of the samples are expected to be between 94 and 106 = 99.73%

6 0

2 years ago

Logarithms:

bogdanovich [222]

Answer:

2^45 or ≈ 3.5*10^13

Step-by-step explanation:

Given equation

f(t) = 2^(kt)
f - number of cells, t - number of months, k- coefficient

We got 32 cells in the first month. It means:

t = 1, f(1) = 32

Using these numbers we can find the coefficient k:

32 = 2^(k*1)
2^5 = 2^k
k = 5

Then the equation becomes:

f(t) = 2^(5t)

Average time is 9 months, we can calculate the number of cells:

f(9) = 2^(5*9) = 2^45 ≈ 3.5*10^13

5 0

3 years ago

For the graphed function f(x) = (4)x − 1 + 2, calculate the average rate of change from x = 1 to x = 2.

xz_007 [3.2K]

For the function
f(x) = 4^(x-1) +2
the average rate of change on the interval [1, 2] is found by computing
(f(2) - f(1))/(2 - 1)
= ((4^1+2) - (4^0+2)/1
= (6-3)
= 3

3 0

3 years ago

Read 2 more answers