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3 years ago

What is the inverse of f(x) 3^sqrt x-4

2 answers:

4 0

Well, you need the equationL: <span>y=3+<span>√x−8</span></span>. than order to find the inverse function, we have to switch the variables x and y and then solve for y..

const2013 [10]3 years ago

3 0

As you may already know, to get the inverse of any expression, we start off by doing a quick switcharoo on the variables, and then solve for "y".

$\bf \stackrel{f(x)}{y}=\sqrt[3]{x-4}\qquad \stackrel{inverse}{\underline{x}=\sqrt[3]{\underline{y}-4}}\implies x^3=y-4\implies x^3+4=\stackrel{f^{-1}(x)}{y}$

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A distribution of values is normal with a mean of 220 and a standard deviation of 13. From this distribution, you are drawing sa

Paraphin [41]

Answer:

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributied random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 220, \sigma = 13, n = 35, s = \frac{13}{\sqrt{35}} = 2.1974$

Find the interval containing the middle-most 48% of sample means:

50 - 48/2 = 26th percentile to 50 + 48/2 = 74th percentile. So

74th percentile

value of X when Z has a pvalue of 0.74. So X when Z = 0.643.

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$0.643 = \frac{X - 220}{2.1974}$

$X - 220 = 0.643*2.1974$

$X = 221.41$

26th percentile

Value of X when Z has a pvalue of 0.26. So X when Z = -0.643

$Z = \frac{X - \mu}{s}$

$-0.643 = \frac{X - 220}{2.1974}$

$X - 220 = -0.643*2.1974$

$X = 218.59$

The interval containing the middle-most 48% of sample means is between 218.59 to 221.41.

5 0

3 years ago

Joe asked the children in his class which flavours of ice-cream they like.

Leya [2.2K]

Answer:

a. 19

b. 14

Step-by-step explanation:

From the venn diagram, we see that:

9 children like only Vanilla

7 like vanilla and chocolate

12 like only chocolate, and

2 like neither chocolate nor vanilla

Thus:

a. Number of children that liked Chocolate ice-cream = those that like chocolate only + those that like both chocolate and vanilla = 12 + 7 = 19

19 children like chocolate ice-cream.

b. Number of children who do not like Vanilla ice-cream = those that like chocolate only + those that do not like neither chocolate nor vanilla = 12 + 2 = 14

14 children do not like vanilla ice-cream.

5 0

3 years ago

an online store sells DVDs for $10 each the shipping charge for an entire order is $5.50 Frank order d DVDs write an expression

Vikentia [17]

10d + 5.50 = x (the total cost)

5 0

3 years ago

What’s the answer to this

ryzh [129]

Answer:

see below

Step-by-step explanation:

The graph extends to the left more or less horizontally, approaching the line y=3. The only choice that expresses that is the third one.

7 0

3 years ago

9. Put these numbers in greatest to least order: 2/3, 60%, 0.06, 3/4

Iteru [2.4K]

Step-by-step explanation:

0.06
60%
2/3
3/4

hope it's right :)

8 0

3 years ago