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2 years ago

What can you say about the continuous function that generated the following table of values?

Mathematics

1 answer:

scoundrel [369]2 years ago

5 0

Option C. The function that has the table here has exactly one x-intercept.

<h3>How to find the intercept</h3>

As the signs of the functions are changing, we can see that there is a crossing to the x axis.

This tells us that the zero value that we see is the x intercept and there is no other x intercept in the question.

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If I get to watch my niece for 82 min. and then watch my little cuz for 67 min., how long do I watch both of them? Please includ

lilavasa [31]

Answer:

2.5 hours roughly (2 hours 29 mins)

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3 years ago

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Eric has 5 CDs that he is going to give away. He lets his best friend choose 3 of the 5 CDs. How many different groups of 3 CDs

Snowcat [4.5K]

Given a group of n object. We want to make a selection of k objects out of the n object. This can be done in

C(n, k) many ways, where $C(n, k)= \frac{n!}{k!(n-k)!}$ ,

where k!=1*2*3*...(k-1)*k

Thus, we can do the selection of 3 cd's out of 5, in C(5,3) many ways,

where

$C(5, 3)= \frac{5!}{3!2!}= \frac{5*4*3*2*1}{3*2*1*2*1}= \frac{5*4}{2}=10$

Answer: 10

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3 years ago

For sample sizes greater than 40, the results of hypothesis tests and confidence intervals using the t distribution are highly s

dem82 [27]

We' supposed to indicate which statement is true/false.

Note that, if a sample size is 40 or over, we can use the t distribution even with skewed data. So it's not highly sensitive to non-normality of the population from which samples are taken. So statement A is false.

It's true that the t-distribution assumes that the population from which samples are drawn is normally distributed. So B is true.

For skewed data or with extreme outliers, we can't use the t distribution. We only use t distribution as long as we believe that the population from which samples are drawn is closed to a bell-shape. So C is true.

Lastly, statement D is against statement C. So D is false.

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3 years ago

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Are 2/7 and 6/21 equivalent ratios

ra1l [238]

6 / 2 = 3
21 / 7 = 3

Yes, 2/7 and 6/21 are equivalent ratios. The second number is simply the first number tripled.

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3 years ago

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.The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 s

Citrus2011 [14]

Answer:

The constant of variation is 1/9

The equation representing the direct variation is y/x= 1/9

Step-by-step explanation:

In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get

y/x = k

3 / 27 = k

(3/27) / (3/3) = 1/9* = k

Therefore, the constant of variation is 1/9

Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation

* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both

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2 years ago