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3 years ago

A distribution has the five-number summary shown below. What is the range of this distribution? 21, 32, 49, 67, 75

Mathematics

2 answers:

777dan777 [17]3 years ago

7 0

The answer is 54. You subtract the highest value from the least value.

Ahat [919]3 years ago

6 0

Answer: range is 54

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Rewrite x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.

Setler79 [48]

Answer:

Therefore values of a and b are

$a=3\ and\ b = 2$

Step-by-step explanation:

Rewrite $x^{2}-6x+7=0$ in the form

$(x-a)^{2}=b$

where a and b are integers,

To Find:

a = ?

b = ?

Solution:

$x^{2}-6x+7=0$ ..............Given

Which can be written as

$x^{2}-6x=-7$

$(\frac{1}{2} coefficient\ of\ x)^{2}=(\frac{1}{2}\times -6)^{2}=9$

Adding half coefficient of X square on both the side we get

$x^{2}-6x+9=-7+9=2$ ...................( 1 )

By identity we have (A - B)² =A² - 2AB + B²

Therefore,

$x^{2}-6x+9=x^{2}-2\times 3\times x+3^{2}=(x-3)^{2}$

Substituting in equation 1 we get

$(x-3)^{2}=2$

Which is in the form of

$(x-a)^{2}=b$

On comparing we get

a = 3 and b = 2

Therefore values of a and b are

$a=3\ and\ b = 2$

4 0

3 years ago

The function f(x) = 1.50x + 12.50 relates how much kelsey pays for digital service, f(x), to the number of movies, x, she stream

Brums [2.3K]

f(18) = 39.50

This gives the monthly cost Kelsey will pay if she streams 18 movies in a month

Step-by-step explanation:

Given function is:

$f(x) = 1.50x+12.50$

Here x is the number of movies

so for f(18), this means that the total number of movies will be 18

Solving

$f(18) = 1.50(18)+12.50\\f(18) = 27+12.50\\f(18) = 39.50$

Hence,

f(18) = 39.50

This gives the monthly cost Kelsey will pay if she streams 18 movies in a month

Keywords: functions, Domain,range

Learn more about functions at:

#LearnwithBrainly

6 0

3 years ago

Solve for y: 2x+3y=21

stealth61 [152]

Answer:

y = 7 - 2x/3

Step-by-step explanation:

Make the y alone, so 3y = -2x+21

Divide everything else by 3, so y = -2x/3 +7

You end with the answer of y= 7-2x+3

6 0

3 years ago

Solve each trigonometric equation such that 0 ≤ x ≤ 2????. Give answers in exact form.

sveticcg [70]

Answer:

(a) $x=\frac{5\pi }{3}$

(b) $x=\frac{\pi }{8}$

Step-by-step explanation:

It is given that $0\leq x\leq 2\pi$

(a) We have given equation $2sinx+\sqrt{3}=0$

$sinx=\frac{-\sqrt{3}}{2}$

$x=sin^{-1}(-0.866)$

$x=\frac{-\pi }{3}=2\pi -\frac{\pi }{3}=\frac{5\pi }{3}$

(b) $tan(2x)=1$

$2x=tan^{-1}1$

$2x=\frac{\pi }{4}$

$x=\frac{\pi }{8}$

7 0

3 years ago

Use the functions f(x)=4x+10 and g(x)=2x-4. <br><br> Find the value of g(5)

a_sh-v [17]

Answer:

Step-by-step explanation:

g(5) represents x=5

you would substitue 5 for x in g(x)=2x-4

g(5)=2(5)-4

g=6

8 0

3 years ago