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shtirl [24]
3 years ago
7

The ages of students in a community science club are 13,11,14,12,8 and 10 what is the range of ages in this club?

Mathematics
1 answer:
Verdich [7]3 years ago
5 0

Answer:

Range = 6

Step-by-step explanation:

Lets arrange the ages in order first:

8, 10, 11, 12, 13 , 14

The range is the highest value from the set of numbers MINUS the lowest value.

The arranged number tells us that the:

Highest Value = 14

Lowest Value = 8

Thus, we can say:

Range = highest - lowest = 14 - 8 = 6

Range = 6

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Identify the functions that are continuous on the set of real numbers and arrange them in ascending order of their limits as x t
Studentka2010 [4]

Answer:

g(x)<j(x)<k(x)<f(x)<m(x)<h(x)

Step-by-step explanation:

1.f(x)=\frac{x^2+x-20}{x^2+4}

The denominator of f is defined for all real values of x

Therefore, the function is continuous on the set of real numbers

\lim_{x\rightarrow 5}\frac{x^2+x-20}{x^2+4}=\frac{25+5-20}{25+4}=\frac{10}{29}=0.345

3.h(x)=\frac{3x-5}{x^2-5x+7}

x^2-5x+7=0

It cannot be factorize .

Therefore, it has no real values for which it is not defined .

Hence, function h is defined for all real values.

\lim_{x\rightarrow 5}\frac{3x-5}{x^2-5x+7}=\frac{15-5}{25-25+7}=\frac{10}{7}=1.43

2.g(x)=\frac{x-17}{x^2+75}

The denominator of g is defined for all real values of x.

Therefore, the function g is continuous on the set of real numbers

\lim_{x\rightarrow 5}\frac{x-17}{x^2+75}=\frac{5-17}{25+75}=\frac{-12}{100}=-0.12

4.i(x)=\frac{x^2-9}{x-9}

x-9=0

x=9

The function i is not defined for x=9

Therefore, the function i is  not continuous on the set of real numbers.

5.j(x)=\frac{4x^2-7x-65}{x^2+10}

The denominator of j is defined for all real values of x.

Therefore, the function j is continuous on the set of real numbers.

\lim_{x\rightarrow 5}\frac{4x^2-7x-65}{x^2+10}=\frac{100-35-65}{25+10}=0

6.k(x)=\frac{x+1}{x^2+x+29}

x^2+x+29=0

It cannot be factorize .

Therefore, it has no real values for which it is not defined .

Hence, function k is defined for all real values.

\lim_{x\rightarrow 5}\frac{x+1}{x^2+x+29}=\frac{5+1}{25+5+29}=\frac{6}{59}=0.102

7.l(x)=\frac{5x-1}{x^2-9x+8}

x^2-9x+8=0

x^2-8x-x+8=0

x(x-8)-1(x-8)=0

(x-8)(x-1)=0

x=8,1

The function is not defined for x=8 and x=1

Hence, function l is not  defined for all real values.

8.m(x)=\frac{x^2+5x-24}{x^2+11}

The denominator of m is defined for all real values of x.

Therefore, the function m is continuous on the set of real numbers.

\lim_{x\rightarrow 5}\frac{x^2+5x-24}{x^2+11}=\frac{25+25-24}{25+11}=\frac{26}{36}=\frac{13}{18}=0.722

g(x)<j(x)<k(x)<f(x)<m(x)<h(x)

6 0
3 years ago
Mr.willer wanted to donate 27cans of food to each of 8 food banks.Each of the 23 students in Mr.willers class donated 9 cans . H
Degger [83]
Mr.willer needs 216 cans because 27 vans times 8 banks equals 216 and 23 times 9 equals 207 so he would need 9 more cans
5 0
3 years ago
What is 96% of 63 <img src="https://tex.z-dn.net/?f=96%25%20of%2063" id="TexFormula1" title="96% of 63" alt="96% of 63" align="a
balu736 [363]

Answer:

i think you multiply 63 × 96 then divide 6,048 /100

3 0
2 years ago
Read 2 more answers
Solve and graph the inequality on a number line: −19 &gt; g − 24
Phantasy [73]

Answer:

5 >g

Open circle at 5 line going to the left

Step-by-step explanation:

−19 > g − 24

Add 24 to each side

−19+24 > g − 24+24

5 >g

Open circle at 5 line going to the left

5 0
3 years ago
Suppose systolic blood pressure of 17 year female is approximately distributed with a mean of 118mmHg and a standard deviation o
Artemon [7]

Answer:

a) 0.383

b) 0.375

Step-by-step explanation:

a) Calculate each z-score.

z = (x − μ) / σ

z₁ = (112 − 118) / 12 = -0.5

z₂ = (124 − 118) / 12 = 0.5

Use a calculator or z-score table to find the probability.

P(-0.5 < Z < 0.5) = 0.6915 − 0.3085 = 0.383

b) 0.383 × 16 ≈ 6.  So the expected proportion would be 6/16 = 0.375.

8 0
3 years ago
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