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3 years ago

15

Two points on the graph of a function are used to determine the average rate of change over the interval between them. Calculate

the average rate of change for the two given points. A. -1/3 B. -2/4 C. 1/3 D. 6/2

1 answer:

dlinn [17]3 years ago

3 0

Answer:

Step-by-step explanation:

lololo

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Which table represents a function?

melamori03 [73]

Answer:

Table 1

Step-by-step explanation:

In a function, you are not allowed to have two of the same x-values. Table 1 is the only one to show this.

Table 2 has two (-5)s in the x-column, Table 3 has two (-2)s, and Table 4 has two (-4)s.

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4 years ago

Read 2 more answers

a recipe calls for 32 fluid ounces of heavy cream. how many 1-pint containers of heavy cream are needed to make the recipe?

Lorico [155]

Two pints because there are sixteen ounces in a pint and when you divide 32 by 16 you get 2.

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3 years ago

Statistics In the manual “How to Have a Number One the Easy Way,” it is stated that a song “must be no longer than three minutes

dimaraw [331]

Answer:

We conclude that the sample is from a population of songs with a mean greater than 210 seconds.

Step-by-step explanation:

We are given that a simple random sample of 40 current hit songs results in a mean length of 252.5 seconds.

Assume that the standard deviation of song lengths is 54.5 sec.

Let $\mu$ = <u><em>population mean length of the songs</em></u>

So, Null Hypothesis, $H_0$ : $\mu$ $\leq$ 210 seconds {means that the sample is from a population of songs with a mean smaller than or equal to 210 seconds}

Alternate Hypothesis, $H_A$ : $\mu$ > 210 seconds {means that the sample is from a population of songs with a mean greater than 210 seconds}

The test statistics that will be used here is <u>One-sample z-test statistics </u>because we know about population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean length of songs = 252.5 seconds

$\sigma$ = population standard deviation = 54.5 seconds

n = sample of current hit songs = 40

So, <u><em>the test statistics</em></u> = $\frac{252.5-210}{\frac{54.5}{\sqrt{40} } }$

= 4.932

The value of z-test statistics is 4.932.

Now, at 0.05 level of significance, the z table gives a critical value of 1.645 for the right-tailed test.

Since the value of our test statistics is more than the critical value of z as 4.932 > 1.645, so <u><em>we have sufficient evidence to reject our null hypothesis</em></u> as it will fall in the rejection region.

Therefore, we conclude that the sample is from a population of songs with a mean greater than 210 seconds.

4 0

3 years ago

Raina, Justin, and cho have $79 in their wallets. Raina has $5 leas than Justin. Cho has 2 times what Justin has. How much does

Alex73 [517]

Answer: Justin: 21 dollars, Raina: 16 dollars, Cho: 42 dollars.

Step-by-step explanation:

Let's say that Justin has x dollars.

Since Raina has 5 dollars less than Justin, Raina has (x - 5) dollars.

Since Cho has 2 times of what Justin has, Cho has 2x dollars.

In total, they have 79 dollars. So by adding up our quantities, they will equal 79 dollars.

x + (x - 5) + 2x = 79

So: 4x - 5 = 79

So 4x = 84

So x = 21

Therefore Justin has 21 dollars

Since Raina has 5 dollars less than Justin, Raina has 16 dollars

Since Cho has 2 times of Justin, Cho has 42 dollars

6 0

3 years ago

Find the LCM of x2 + x,x2-1,x2-x

olchik [2.2K]

Answer:

$first \: \\ x {}^{2} + x \\ = x(x + 1) \\ \\ second \\ {x}^{2} - 1 \\ = (x) {}^{2} - (1) { }^{2} \\ = (x + 1)(x - 1) \\ \\ third \\ x {}^{2} - x \\ = x(x - 1) \\ \\ therefore \: \: lcm = x(x + 1)(x - 1)$

<h3> It helps you a lot ☺️</h3>

Thank you ☺️☺️

4 0

3 years ago