If the parent function is y=3^x, which is the function of the graph?

Suppose a normal distribution has a mean of 48 and a standard deviation of 2. What is the probability that a data value is betwe

stepan [7]

Answer:

Choice D. 15.2%

Step-by-step explanation:

We have a normal...

mean u = 48

standard deviation s = 2

We want P(43 < X < 46)

We standardize.

Consider P(43 < X) = P( (43 - 48)/2 < Z) = P(-2.5 < Z)

P( X < 46) = P( Z < (46 - 48)/2 ) = P(Z < -1)

We want P( -2.5 < Z < -1)

Look at Z-scores.

P( Z < -2.5) = 0.0062

P(Z < -1) = 0.1587

so P(-2.5 < Z < -1) = P(Z < -1) - P(Z < -2.5) = 0.1587 - 0.0062 = 0.1525 = 15.2%

about

3 0

4 years ago

What ratio can we say are equivalent to 2:9 how do you get the answer explain to me

Ulleksa [173]

Ratio equivalent to 2:9 is 4:18, 6:27

If you multiply the same number to both numbers, the ratio would always be the same.

5 0

3 years ago

I NEED HELP HURRY PLEASE, THANKS! :)

Natalija [7]

Answer: $\bold{b)\quad \dfrac{\pi}{2}+n\pi,\ \dfrac{\pi}{4}+2n\pi}$

<u>Step-by-step explanation:</u>

cos x tan x - cos x = 0

cos x (tan x - 1) = 0

cos x = 0 tan x - 1 = 0

$x=\dfrac{\pi}{2},\ \dfrac{3\pi}{2}$ tan x = 1

$x=\dfrac{\pi}{4},\ \dfrac{5\pi}{4}$

8 0

4 years ago

Read 2 more answers

Several terms of a sequence {an}n=1 infinity are given. A. Find the next two terms of the sequence. B. Find a recurrence relatio

s344n2d4d5 [400]

Answer:

A) $\frac{1}{1024},\frac{1}{4096}$

B) $\left\{\begin{matrix}a(1)=1 & \\ a(n)=a(n-1)*\frac{1}{4} &\:for\:n=1,2,3,4,... \end{matrix}\right.$

C) $\\a_{n}=nq^{n-1} \:for\:n=1,2,3,4,...$

Step-by-step explanation:

1) Incomplete question. So completing the several terms: $\left \{a_{n}\right \}_{n=1}^{\infty}=\left \{ 1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256},... \right \}$

We can realize this a Geometric sequence, with the ratio equal to:

$q=\frac{1}{4}$

A) To find the next two terms of this sequence, simply follow multiplying the 5th term by the ratio (q):

$\frac{1}{256}*\mathbf{\frac{1}{4}}=\frac{1}{1024}\\\\\frac{1}{1024}*\mathbf{\frac{1}{4}}=\frac{1}{4096}\\\\\left \{ 1,\frac{1}{4},\frac{1}{16},\frac{1}{64},\frac{1}{256},\mathbf{\frac{1}{1024},\frac{1}{4096}}\right \}$

B) To find a recurrence a relation, is to write it a function based on the last value. So that, the function relates to the last value.

$\left\{\begin{matrix}a(1)=1 & \\ a(n)=a(n-1)*\frac{1}{4} &\:for\:n=1,2,3,4,... \end{matrix}\right.$

C) The explicit formula, is one valid for any value since we have the first one to find any term of the Geometric Sequence, therefore:

$\\a_{n}=nq^{n-1} \:for\:n=1,2,3,4,...$

6 0

3 years ago

A coin is tossed. The probability of getting tails is 1?2. What is the likelihood of getting tails?

max2010maxim [7]

It’s a 50/50 chance since there is only 2 sides. (1?2)

5 0

3 years ago