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Ivanshal [37]
2 years ago
12

Which number has the greatest absolute value? a. 0 b. 10 c. –10 d. –20?

Mathematics
1 answer:
Triss [41]2 years ago
6 0
Keep in mind, absolute values are always positive, even when they say negative.That is because the absolute value of a number is just the distance that number is from 0. Example : -5 and 5...they are both 5 spaces from 0...doesn't matter if it is negative or positive, it is still 5 spaces.

|0| = 0
|10| = 10
|-10| = 10
|-20| = 20

so ur answer is : | -20 |

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ivolga24 [154]

Answer:

c=\frac{16}{39}

Step-by-step explanation:

The probability density function is :

f(x)=c(1-\frac{1}{16}x^{2})

With 0 < x < 3

To be a valid probability density function :

\int\limits^b_a {f(x)} \,dx=1

Where a < x < b

And also

f(x) ≥ 0 for a < x < b

Applying this to the probability density function of the exercise :

\int\limits^3_0 {c(1-\frac{1}{16}x^{2})} \, dx=1

c\int\limits^3_0 {(1-\frac{1}{16}x^{2})} \, dx=1

c(3-\frac{1}{16}\frac{3^{3}}{3})=1

c(\frac{39}{16})=1

c=\frac{16}{39}

We can verify by replacing ''c'' in the original probability density function and integrating :

\int\limits^3_0 {\frac{16}{39}(1-\frac{1}{16}x^{2})} \, dx=

=\frac{16}{39}.(3)-\frac{1}{39}.(\frac{3^{3}}{3})=\frac{16}{13}-\frac{3}{13}=\frac{13}{13}=1

Also, f(x) ≥ 0 for 0 < x < 3

4 0
2 years ago
Make b the subject of this formula. a=9b
USPshnik [31]

Answer:

a = 9b

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8 miles is approximately equal to 6 km how many km are equal to 28 miles ? How many miles are equal to 42km
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Step-by-step explanation:

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lorasvet [3.4K]

Answer: \frac{25}{6} a^{9} b^{10}

Step-by-step explanation:

Assuming the described expression is:

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And knowing the condition a \neq 0 and b \neq 0

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\frac{25}{6} a^{3} b^{3} a^{6} b^{7}

Finally:

\frac{25}{6} a^{9} b^{10}

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