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4 years ago

Which function is described by values in the table?

Mathematics

1 answer:

Sveta_85 [38]4 years ago

7 0

One way to approach this problem is to go ahead and find the actual equation in slope-intercept form.

The slope of the line thru (3,6) and (5,4) is m = (6-4) / (3-5), or -2/2, or -1.

Subbing the known values of m, x and y, we get:

4 = -(5) + b. Then b = 9.

The correct equation (representing the data values in the table) is y = -x + 9.

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A group consists of fivefive men and fivefive women. ThreeThree people are selected to attend a conference. a. In how many ways

dem82 [27]

a). Three people can be selected from a group of ten in

(10 · 9 · 8) = 720 ways.

(But every group of 3 different people can be selected in 6 different ways. So there are actually only (720/6) = 120 different groups of 3 different people.)

b). Three women can be selected from a group of five women in

(5 · 4 · 3) = 60 ways.

(But every group of 3 different women can be selected in 6 different ways. So there are actually only (60/6) = 10 different groups of 3 different women.)

c). Start with 3 men and 3 women.

The probability of the first selection being a woman is (3/6) = 50% .

Then there are 3 men and 2 women.

The probability of the 2nd selection being a woman is (2/5) = 40% .

Then there are 3 men and 1 woman.

The probability of the 3rd selection being a woman is (1/4) = 25% .

The probability of all 3 selections being women is

(50% ·40% ·25%) = (0.5 ·0.4 ·0.25) = 0.05

The probability that the selected group will consist of all women is 5% .

8 0

3 years ago

"how many different rectangles" can you draw that have a perimeter of 12, 14

amm1812

Perimeter of rectangle = length + length + width + width

To find the combinations, think of two numbers that each multiplied by 2 and added up to give 12 or 14

Rectangle with perimeter 12

Say we take length = 2 and width = 3
Multiply the length by 2 = 2 × 2 = 4
Multiply the width by 3 = 2 × 3 = 6
Then add the answers = 4 + 6 = 10
This doesn't give us perimeter of 12 so we can't have the combination of length = 2 and width = 3

Take length = 4 and width = 2
Perimeter = 4+4+2+2 = 12
This is the first combination we can have

Take length = 5 and width = 1
Perimeter = 5+5+1+1 = 12
This is the second combination we can have

The question doesn't specify whether or not we are limited to use only integers, but if it is, we can only have two combinations of length and width that give perimeter of 12

length = 4 and width = 2
length = 5 and width = 1
--------------------------------------------------------------------------------------------------------------

Rectangle with perimeter of 14

Length = 4 and width = 3
Perimeter = 4+4+3+3 = 14

Length = 5 and width = 2
Perimeter = 5+5+2+2 = 14

Length = 6 and width = 1
Perimeter = 6+6+1+1 = 14

We can have 3 different combinations of length and width

3 0

3 years ago

Salama makes fruit baskets with oranges and bananas. She uses between 8 and 16 oranges and bananas in a ratio of 3 oranges to 2

Studentka2010 [4]

Answer: There are 6 oranges and 4 bananas and there are 9 oranges and 6 bananas.

In both the cases, the ratio will be 3:2.

Step-by-step explanation:

Since we have given that

Salama makes fruit baskets with oranges and bananas.

Ratio of oranges to bananas is 3:2.

And she uses between 8 and 16 oranges and bananas.

We only take those number which is multiple of 5 between 8 and 16,

i.e. 10 and 15.

1) Let the total number of oranges and bananas = 10

Then, number of oranges is given by

Number of bananas is given by

2) Let the total number of oranges and bananas = 15

Then, number of oranges is given by

Number of bananas is given by

Hence, there are 6 oranges and 4 bananas and there are 9 oranges and 6 bananas.

In both the cases, the ratio will be 3:2.

7 0

3 years ago

Please help with this its confusing somehow :(

RoseWind [281]

Answer:

the answer is 7 because 7 *7 is 49

4 0

3 years ago

jok3333 [9.3K]

Answer:

5 miles thank me later

Step-by-step explanation:

7 0

3 years ago