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3 years ago

Is .962 greater than or less than 2.42

Mathematics

2 answers:

shutvik [7]3 years ago

8 0

The answer is: less than

erastovalidia [21]3 years ago

6 0

Less than hope this helps

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Which ratio represents the probability of taking a red apple from a bag containing 8 red apples, 4 yellow apples, and 3 green ap

snow_lady [41]

Answer:

8:15

or 8/15

Step-by-step explanation:

8 out of 15

6 0

3 years ago

Read 2 more answers

This is the term in a polynomial without a variable

alexandr1967 [171]

It is a constant. hope this helps

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3 years ago

1) At Joe's Restaurant, one-fourth of the

andrew11 [14]

Answer:

1/20 of the patrons at Joe's restaurant are expected to be male and out of town.

Step-by-step explanation:

1. Let's review all the information provided for solving this question:

Proportion of patrons that are male at Joe's restaurant = 1/4

Proportion of patrons that are from out of town at Joe's restaurant = 1/5

2. What proportion would you expect to be male and out of town?

For finding the proportion of the patrons, that would be male and that would be from out of town, we do this calculation:

Proportion of patrons that are male at Joe's restaurant * Proportion of patrons that are from out of town at Joe's restaurant

1/4 * 1/5 = 1/20

It means that 1/20 of the patrons at Joe's restaurant are expected to be male and out of town.

8 0

3 years ago

A line has a rise of 3 and a run of 12. What is the slope? 1/3 1/4 4

AnnyKZ [126]

Slope = rise/run
slope = 3/12
slope = 1/4
answer is
1/4

4 0

3 years ago

Read 2 more answers

If the parent function f(x) = x^2 is fatter translated 11 units to the left, then translated 5 units down, write the resulting f

nikklg [1K]

The quadratic function given by:

$f(x)=a(x-h)^2+k, \ \ \ a\neq 0$

is in vertex form. The graph of $f$ is a parabola whose axis is the vertical line $x=h$ and whose vertex is the point $(h, k)$ . So:

To translate the graph of a function to the right, left, upward or downward we have:

$For \ a \ positive \ real \ number \ c. \ \mathbf{Vertical \ and \ horizontal \ shifts} \\ in \ the \ graph \ of \ y=f(x) \ are \ represented \ as \ follows:\\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{upward}: \\ g(x)=f(x)+c \\ \\ \bullet \ Vertical \ shift \ c \ units \ \mathbf{downward}: \\ g(x)=f(x)-c \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{right}: \\ g(x)=f(x-c) \\ \\ \bullet \ Horizontal \ shift \ c \ units \ to \ the \ \mathbf{left}: \\ g(x)=f(x+c)$

By knowing this things, we can solve our problem as follows:

FIRST.

Translating 11 units to the left:

$g(x)=f(x+11) \\ \\ \therefore g(x)=(x+11)^2$

Then translating 5 units down:

$g(x)=f(x)-c \\ \\ \therefore g(x)=(x+11)^2-5$

Since the new function is fatter, the factor we need to multiply the term $(x+11)^2$ must be less than 1, to make the graph fatter. So, according to our options, there are two factors 1/2 and 2.

Therefore, the right answer is b. f(x) = 1/2(x + 11)^2 - 5

SECOND.

Translating 8 units to the right:

$g(x)=f(x-8) \\ \\ \therefore g(x)=(x-8)^2$

Then translating 1 unit down:

$g(x)=f(x)-c \\ \\ \therefore g(x)=(x-8)^2-1$

As explained in the previous case, there are two factors 1/3 and 3, so we choose the first one.

Therefore, the right answer is a. g(x) = 1/3(x - 8)^2 - 1

7 0

3 years ago