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2 years ago

X+3y=9, find the slope then then x intercept

Mathematics

1 answer:

irinina [24]2 years ago

3 0

-1/3 is the slope and x= -3y+9 is the X

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Find the range, mean, and standard deviation of the data set (3, 6, 9, 11, 15, 16) The range is 13 (Type a whole number.) The me

iris [78.8K]

Answer: The range is 13. The mean is 10. The standard deviation is 4.62 .

Step-by-step explanation:

The given data : 3, 6, 9, 11, 15, 16

Total number of data values : n = 6

The mean of data is given by :-

$\overline{x}=\dfrac{\sum^6_{i=1}x_i}{n}\\\\\Rightarrow\overline{x}=\dfrac{60}{6}=10$

The standard deviation is given by :-

$\sqrt{\dfrac{1}{n}(\sum^6_{i=1}(x_i-\overline{x})^2)}\\\\=\sqrt{\dfrac{1}{6}(\sum^6_{i=1}(x_i-10)^2)}\\\\=\sqrt{\dfrac{1}{6}\times(49+16+1+1+25+36)}=4.61880215352\approx4.62$

The range of the data : Maximum value -Minimum value

$=16-3=13$

6 0

2 years ago

Taiga wants to make a circular loop that she can twirl around her body for exercise. He will use a tube that is 2.5 meters long.

Travka [436]

Answer: 0.796 meters

Step-by-step explanation:

Circumference of circle = $2\pi r$ , where r=radius

Here, Circumference of loop = 2.5 meters

i.e. $2\pi r=2.5$

$\Rightarrow\ r=\dfrac{2.5}{2\pi}$

$\Rightarrow\ r=\dfrac{2.5}{2\times\dfrac{22}{7}}\\\\\Rightarrow\ r=\dfrac{2.5\times7}{2\times22}\\\\\Righttarrow\ r=0.398\ m$

Diameter = 2r = 2(0.398) = 0.796 meters

Hence, The diameter of Taiga's exercise hoop = 0.796 meters

7 0

2 years ago

RES Find (fºg)(1) Ax) = x2 - 1 g(x)= v a 0 c. 4. b. d. 18 Help pls

slava [35]

Answer:

Step-by-step explanation:

So we have the two functions:

$f(x)=x^2-1\\g(x)=\sqrt x$

And we want to find:

$(f\circ g)(1)$

This is the same as:

$f(g(1))$

So, to find the answer, find g(1) first:

$g(x)=\sqrt x\\g(1)=\sqrt1\\g(1)=1$

Now, substitute this value for g(1):

$f(g(1))\\=f(1)$

And plug this into f(x):

$f(x)=x^2-1\\f(1)=(1)^2-1\\f(1)=1-1=0$

Therefore:

$f(1)=f(g(1))=(f\circ g)(1)=0$

Our answer is A

3 0

3 years ago

Read 2 more answers

Mom’s muffin recipe uses 10 ounces of berries for 2 dozen muffins grandma’s muffin recipe uses 12 ounces of berries for 3 dozen

Rudiy27

Answer:

can u add a photo for me to see

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3 years ago

5. What is the probability of rolling a 4 on a number

Dmitry [639]

The answer is independent

5 0

2 years ago