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2 years ago

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The relationship between antioxidant food consumption per day in cups and the BMI of an individual is modeled by the following l

ine of best fit: y = -1.2x + 26. Interpret the slope and intercept of the trend line within the context of the data.

1 answer:

Vedmedyk [2.9K]2 years ago

4 0

The slope is -1.2 because in the original formula y=mx+b, m is the slope. I am still working out the intercept. I will let you know ASAP.

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QUICK QUICK PLZZ! ANSWER QUESTION ONLY 1 MINUTE ONLY WITH SOLUTION! THE YOU WILL BE THE BRAINLIEST

nekit [7.7K]

Answer:

576.2

Step-by-step explanation:

The formula for the area of a triangle is $\frac{bh}{2}$ . Since this square pyramid is essentially four triangles with base length 21.5 feet and height 13.4 feet, we can calculate the area that they take up with the formula $4\cdot \frac{13.4\cdot 21.5}{2}=576.2$ square feet. Hope this helps!

5 0

2 years ago

Gary's salary varies directly as the number of days he works. If his salary for five days is $52.00, how much would it be for 12

Viktor [21]

Answer:

124.8

Step-by-step explanation:

52 divided by 5 = 10.4

then, multiply by 12 = 124.8

8 0

1 year ago

How many meatballs are required for a party of 25 adults and 5 children

scoray [572]

Should be 30 meatballs. This is because there are 25 adults and 5 kids. 25+5 = 30. That is the least amount you need. However, most people try to provide at least 2 servings per person. So that would be 60 meatballs. That way each person has two meatballs. Hope this helps, if so please give brainliest:-)

5 0

2 years ago

Over the last 50 years, the average temperature has increased by 2.5 degrees worldwide (I made this up). What is the rate of cha

Dovator [93]

50 years ... 2.5 degrees
1 year ... x degrees = ?

If you would like to know what is the rate of change in worldwide temperatures per year, you can calculate this using the following steps:

50 * x = 2.5 * 1
50 * x = 2.5 /50
x = 2.5 / 50
x = 0.05 degrees per year

Result: The rate of change is 0.05 degrees per year.

6 0

2 years ago

A store sells 8 colors of balloons with at least 28 of each color. How many different combinations of 28 balloons can be chosen?

Len [333]

Answer:

(a) $Selection = 6724520$

(b) $At\ most\ 12 = 6553976$

(c) $At\ most\ 8 = 6066720$

(d) $At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 5896638$

Step-by-step explanation:

Given

$Colors = 8$

$Balloons = 28$ --- at least

Solving (a): 28 combinations

From the question, we understand that; a combination of 28 is to be selected. Because the order is not important, we make use of combination.

Also, because repetition is allowed; different balloons of the same kind can be selected over and over again.

So:

$n => 28 + 8-1$ $= 35$

$r = 28$

$Selection = ^{35}^C_{28$

$Selection = \frac{35!}{(35 - 28)!28!}$

$Selection = \frac{35!}{7!28!}$

$Selection = \frac{35*34*33*32*31*30*29*28!}{7!28!}$

$Selection = \frac{35*34*33*32*31*30*29}{7!}$

$Selection = \frac{35*34*33*32*31*30*29}{7*6*5*4*3*2*1}$

$Selection = \frac{33891580800}{5040}$

$Selection = 6724520$

Solving (b): At most 12 red balloons

First, we calculate the ways of selecting at least 13 balloons

Out of the 28 balloons, there are 15 balloons remaining (i.e. 28 - 13)

So:

$n => 15 + 8 -1 = 22$

$r = 15$

Selection of at least 13 =

$At\ least\ 13 = ^{22}C_{15}$

$At\ least\ 13 = \frac{22!}{(22-15)!15!}$

$At\ least\ 13 = \frac{22!}{7!15!}$

$At\ least\ 13 = 170544$

Ways of selecting at most 12 =

$At\ most\ 12 = Total - At\ least\ 13$ --- Complement rule

$At\ most\ 12 = 6724520- 170544$

$At\ most\ 12 = 6553976$

Solving (c): At most 8 blue balloons

First, we calculate the ways of selecting at least 9 balloons

Out of the 28 balloons, there are 19 balloons remaining (i.e. 28 - 9)

So:

$n => 19+ 8 -1 = 26$

$r = 19$

Selection of at least 9 =

$At\ least\ 9 = ^{26}C_{19}$

$At\ least\ 9 = \frac{26!}{(26-19)!19!}$

$At\ least\ 9 = \frac{26!}{7!19!}$

$At\ least\ 9 = 657800$

Ways of selecting at most 8 =

$At\ most\ 8 = Total - At\ least\ 9$ --- Complement rule

$At\ most\ 8 = 6724520- 657800$

$At\ most\ 8 = 6066720$

Solving (d): 12 red and 8 blue balloons

First, we calculate the ways for selecting 13 red balloons and 9 blue balloons

Out of the 28 balloons, there are 6 balloons remaining (i.e. 28 - 13 - 9)

So:

$n =6+6-1 = 11$

$r = 6$

Selection =

$^{11}C_6 = \frac{11!}{(11-6)!6!}$

$^{11}C_6 = \frac{11!}{5!6!}$

$^{11}C_6 = 462$

Using inclusion/exclusion rule of two sets:

$Selection = At\ most\ 12 + At\ most\ 8 - (12\ red\ and\ 8\ blue)$

$Only\ 12\ red\ and\ only\ 8\ blue\ = 170544+ 657800- 462$

$Only\ 12\ red\ and\ only\ 8\ blue\ = 827882$

$At\ most\ 12\ red\ and\ at\ most\ 8\ blue = Total - Only\ 12\ red\ and\ only\ 8\ blue$

$At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 6724520 - 827882$

$At\ most\ 12\ red\ and\ at\ most\ 8\ blue = 5896638$

3 0

2 years ago