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4 years ago

X-3y=-6 graph the intercept

Mathematics

1 answer:

Aleks04 [339]4 years ago

4 0

X - 3y = -6
3y = -x - 6
y = 1/3x + 2

y-intercept is 2

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The mean number of hours per day spent watching television, according to a national survey, is 3.5 hours, with a standard deviat

aleksley [76]

Answer:

4.5 hour and 2 hour

Step-by-step explanation:

Given: The mean number of hours per day spent watching television, according to a national survey, is 3.5 hours, with a standard deviation of two hours.

To Find: If each time was increased by one hour, what would be the new mean and standard deviation.

Solution:

let the total numbers entries of hours in survey be = $\text{N}$

each entry in survey be = $\text{x}_{i}$

mean of survey is = $\mu$ = $3.5$ $\text{hours}$

standard deviation is = $\sigma$ = $2$ $\text{hours}$

if each entry in survey is increased by one hour then,

each new entry in survey is = $\text{x}_{i}+1$

the new mean is $\mu_{new}$ = $\frac{\text{sum of all hours}}{total number of entries}$

$\frac{\text{x}_{1} +1+\text{x}_{2}+1 +....+\text{x}_{N}+1 }{N}$

$\frac{(\text{x}_{1} +\text{x}_{2} +....+\text{x}_{N})+\text{N}\times1 }{N}$

$\frac{(\text{x}_{1} +\text{x}_{2} +....+\text{x}_{N})}{N}$ + $\frac{\text{N}\times1 }{N}$

$\mu_{new}$ = $\mu$ + 1= $4.5$ $\text{hours}$

now,

standard deviation is $\sigma_{new}=$ $\sqrt{\sum_{1}^{N}\frac{(\text{x}_{inew}-\mu_{new})^{2}}{N}}$

$\text{x}_{inew}= \text{x}_{i}+1$

$\mu_{new}=\mu+1$

putting values,

$\sqrt{\sum_{1}^{N}\frac{(\text{x}_{i}+1-\mu-1)^{2}}{N}}$

$\sqrt{\sum_{1}^{N}\frac{(\text{x}_{i}-\mu)^{2}}{N}}$ = $\sigma$

$\sigma_{new}$ =2

new mean and standard deviation are $4.5$ and $2$ $\text{hours}$

5 0

3 years ago

Here is Elena’s work for finding the surface area of a rectangular prism that is 1 foot by 1 foot by 2 feet. She concluded that

Tema [17]

ANSWER PLEASE

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0.67 g/cm^3

0.67

1.5 g/cm^3

1.5

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3 years ago

Calvin's rug covers 1/8 of the floor space in his bedroom how much floor space would be covered if Calvin had four rugs of that

djverab [1.8K]

Answer:

I dont really know what this is asking but i think it would be 4/8 or 1/2

Step-by-step explanation:

Im sorry if its wrong

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3 years ago

Find the unknown side of the triangle and explain!!!

klasskru [66]

Since this is a right triangle, we can use Pythagorean theorem. Pythagorean theorem is a^2 + b^2 = c^2

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b = the second leg of the triangle

c = the hypotenuse of the triangle

in this problem,

a = 8 in

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c = ?

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64 + 36 = c^2

Add the terms together on the left side.

100 = c^2.

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4 years ago

What is the ratio of 1:6 and 3:8

butalik [34]

1:6 is the same as 1/6

3:8 is the same as 3/8

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3 years ago