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jeyben [28]
3 years ago
9

The function f(x)= --x is shown on the graph.

Mathematics
1 answer:
sertanlavr [38]3 years ago
7 0

Answer:

Option (3).

Step-by-step explanation:

Attached figure is the graph of a function,

f(x) = -\sqrt{-x}

Since domain of any function is the set of all possible input values of the function,

Therefore, Domain of the function is,

Domain : x ≤ 0 Or (-∞, 0]

And range of the function is the set of all possible output values (y-values) of the function.

Therefore, Range of the function will be,

Range : y ≤ 0 Or (-∞, 0]

Therefore, Domain and range of this function is same.

Option (3) will be the answer.

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What is FG?<br><br> NEED HELP QUICK!!
egoroff_w [7]

Answer:

FG = 18

Step-by-step explanation:

FD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides, that is

\frac{24}{54} = \frac{x}{x+10} ( cross- multiply )

54x = 24(x + 10)

54x = 24x + 240 ( subtract 24x from both sides )

30x = 240 ( divide both sides by 30 )

x = 8

Then

FG = x + 10 = 8 + 10 = 18

8 0
2 years ago
Read 2 more answers
Can someone please help me asap?
pashok25 [27]

find the area the get the premiraterStep-by-step explanation:add

3 0
2 years ago
Suppose a batch of metal shafts produced in a manufacturing company have a population standard deviation of 1.3 and a mean diame
lbvjy [14]

Answer:

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

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 distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 208, \sigma = 1.3, n = 60, s = \frac{1.3}{\sqrt{60}} = 0.1678

What is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

Lesser than 208 - 0.1 = 207.9 or greater than 208 + 0.1 = 208.1. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.

Lesser than 207.9.

pvalue of Z when X = 207.9. So

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

By the Central Limit Theorem

Z = \frac{207.9 - 208}{0.1678}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

2*0.2743 = 0.5486

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

6 0
3 years ago
Dan earns a commission of 15% on his sales. Last month his sales were: $550.23, $793.23,
elixir [45]

9514 1404 393

Answer:

  $533.86

Step-by-step explanation:

The sum of the sales amounts is $3,559.07. Dan's commission is ...

  0.15 × $3,559.07 = $533.86

5 0
3 years ago
Zlz is an interger and -4
kupik [55]
Yes -4 is a interference number
6 0
3 years ago
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