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zlopas [31]
3 years ago
13

Find k such that f(x) is continuous at x=30

Mathematics
1 answer:
Maru [420]3 years ago
5 0

Answer:

this is correct

Step-by-step explanation:

f continous in x=30 means that it should be the same value for 1.25 x 30 and 1.10 x 30 + k so k =4.5

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look at this equation and the steps used to solve it. Which answer is the best justification for step 1 of this solution
Julli [10]

Answer:

Step-by-step explanation:

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3 years ago
What would I have to do here? Somebody please help me! (Look at the bottom problem not the top)
Zinaida [17]
Alright, let's do this! If $25 is one fifth of how much the game system cost then, multiply 25 times 5. And you should get your answer. 
I hope this helps. 
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vladimir1956 [14]

Step-by-step explanation:

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7 0
3 years ago
The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.21 minutes and a st
madam [21]

Answer:

4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

Since Z > -2 and Z < 2, this outcome is not considered unusual.

Step-by-step explanation:

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.

If Z \leq 2 or Z \geq 2, the outcome X is considered to be unusual.

In this question:

\mu = 8.21, \sigma = 1.9

Find the probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

This is the pvalue of Z when X = 5. So

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

Z = \frac{5 - 8.21}{1.9}

Z = -1.69

Z = -1.69 has a pvalue of 0.0455.

4.55% probability that a randomly selected individual will take less than 5 minutes to select a shoe purchase.

Since Z > -2 and Z < 2, this outcome is not considered unusual.

8 0
3 years ago
In how many ways can a group of 3 men and 3 women be arranged if the women insist on being next to each other?
Nadya [2.5K]
The answer shouls be 4.
m is men and f is female, so
fffmmm,
mfffmm,
mmfffm,
mmmfff
7 0
3 years ago
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