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3 years ago

Which graph represents a step function?

Mathematics

2 answers:

Ganezh [65]3 years ago

7 0

Answer:

Step-by-step explanation:

____ [38]3 years ago

3 0

Answer:

Step-by-step explanation:

Step functions are functions (meaning that the x-values do not match with a y-value more than once) that increase or decrease at the same time. #1 is another type of piecewise function, while #3 is a choice to fool you.

Hope I helped and please give me brainliest!

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Root of 9216 in prime factorisation

DaniilM [7]

Answer:

The square root of 9216 is 96

Step-by-step explanation:

Given the number 9216 we have to find the square root of 9216 by <u>Prime factorization method</u>

Prime factors of 9216 are

2*2*2*2*2*2*2*2*2*2*3*3= 9216

Now, make pairs of same factors and choose one factor out of every pair and then take the product.

Hence, the square root of 9216 is 96

5 0

3 years ago

A small ________________ holds 75% as much as a large _________________.

Leto [7]

Answer: The large ____ holds 48 units.

For the diagram you could draw the small rectangle 4 squares wide and 9 squares long. that will represent something that holds 36 units.

For the large one make it 4 squares wide and 12 squares long. That will have spaces for 48 units.

Step-by-step explanation: Change the percent to a decimal and set up the equation that means 36 is 75% of some number, yet unknown, X is the unknown number.

36 = .75x divide both sides by .75

36/.75 = .75x/.75 . The .75 "cancels" on the right. Then use a calculator.

36 ÷ .75 = 48

x = 48

3 0

3 years ago

Suppose that a point (X,Y) us chosen at random from the rectangle S defined as follows: S={(x,y) : 0<= x <=2 and 1<=y&l

mrs_skeptik [129]

For a 19 foot scale find the frequency of a note to the frequency of the preceding note?

7 0

3 years ago

What is the result of 36 divided by 9? Use the number line to find the answer.

Finger [1]

Answer:

Step-by-step explanation:

8 0

3 years ago

A machine, when working properly, produces 5% or less defective items. Whenever the machine produces significantly greater than

vovikov84 [41]

Answer:

The pvalue of the test is 0.0007 < 0.01, which means that we reject the null hypothesis and accept the alternate hypothesis that the percentage of defective items produced by this machine is greater than 5%.

Step-by-step explanation:

A machine, when working properly, produces 5% or less defective items.

This means that the null hypothesis is:

$H_0: p \leq 0.05$

Test if the percentage of defective items produced by this machine is greater than 5%.

This means that the alternate hypothesis is:

$H_a: p > 0.05$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.05 is tested at the null hypothesis:

This means that $\mu = 0.05, \sigma = \sqrt{0.05*0.95}$

A random sample of 300 items taken from the production line contained 27 defective items.

This means that $n = 300, X = \frac{27}{300} = 0.09$

Value of the test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.09 - 0.05}{\frac{\sqrt{0.05*0.95}}{\sqrt{300}}}$

$z = 3.18$

Pvalue of the test:

Testing if the mean is greater than a value, which means that the pvalue of the test is 1 subtracted by the pvalue of Z = 3.18, which is the probability of a finding a sample proportion of 0.09 or higher.

Looking at the Z-table, Z = 3.18 has a pvalue of 0.9993

1 - 0.9993 = 0.0007

5 0

3 years ago