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2 years ago

Need help with this

Mathematics

1 answer:

nydimaria [60]2 years ago

4 0

Answer:

The median is 36.8

Step-by-step explanation:

The median is the middle number in an ordered list.

We have to sort the list in increasing or decreasing order

$5.9, 11.2, 13.9, 16.6, 22.9, 36.8, 43.1, 43.7, 44.2, 45.1, 49\\$

Now we can remove the first and last numbers in each iteration until we get to the median

$11.2, 13.9, 16.6, 22.9, 36.8, 43.1, 43.7, 44.2, 45.1\\13.9, 16.6, 22.9,36.8, 43.1, 43.7, 44.2\\16.6, 22.9, 36.8,43.1, 43.7\\22.9, 36.8, 43.1$

$36.8$

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Given that the product of two positive integers is 44, and their least common multiple is 22, what is their greatest common divi

swat32

Answer:

Step-by-step explanation:

For any positive numbers a,b we always have the following identity:

$a\cdot b=gcd(a,b)\cdot lcm(a,b)$

(gcd(a,b) denotes the greatest common divisor between a and b, and lcm(a,b) denotes the least common multiple between a and b)

In our case, we are given that $a\cdot b = 44$ and that $lcm(a,b)=22$ . Plugging that in into our identity, we get:

$44=gcd(a,b)\cdot 22$

And so solving for $gcd(a,b)$ :

$gcd(a,b)=\frac{44}{22}=2$

5 0

2 years ago

Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for

yan [13]

Answer:

The costs of the plan are $0.15 per minute and a monthly fee of $39

Step-by-step explanation:

Let

x ----> the number of minutes used

y ----> is the total cost

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(100,54) and (660, 138)

substitute

$m=\frac{138-54}{660-100}$

$m=\frac{84}{560}=\$0.15\ per\ minute$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=0.15\\point\ (100,54)$

substitute

$y-54=0.15(x-100)$

step 3

Convert to slope intercept form

Isolate the variable y

$y-54=0.15x-15\\y=0.15x-15+54\\y=0.15x+39$

therefore

The costs of the plan are $0.15 per minute and a monthly fee of $39

6 0

2 years ago

What is y = 5 and it’s slope

e-lub [12.9K]

Answer:

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Step-by-step explanation:

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3 years ago

Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each session. If Allison

dolphi86 [110]

Answer:

Sessions needed= 12

Step-by-step explanation:

Giving the following information:

Total hours= 12 hours

Practice= 3/4= 0.75 of an hour

Already practiced= 3 hours

First, we need to determine how many minutes does she practice each session:

Minutes per session= 0.75*60= 45 minutes

Now, we divide the total practice in minutes required for the minutes per session:

Sessions needed= (9*60) / 45

Sessions needed= 12

8 0

2 years ago

Denise bought a box of 560 pieces of candy.4/5 of the pieces of the candy were fruity and 1/4 of the remaining pieces of candy w

Liula [17]

Answer:

Number of Other flavor candy is 84.

Step-by-step explanation:

Given that

A total of 560 pieces of candy are there in the box.

$\frac{4}{5}$ of the pieces are fruity.

Number of Fruity pieces:

$\dfrac{4}{5} \times 560\\\Rightarrow 4 \times 112 =448$

Now, remaining pieces = Total pieces - Fruity pieces

remaining pieces = 560 - 448 = 112

Also given that $\frac{1}4$ of the remaining pieces are mind.

Number of mint pieces:

$\dfrac{1}{4}\times 112 = 28$

Other flavors remaining = Total pieces - Fruity pieces - Mint pieces

Other flavors remaining = 560 - 448 - 28

Other flavors remaining = 112 - 28 = 84

Number of Other flavor candy is 84.

8 0

2 years ago