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2 years ago

Is the statement 15=|-15| true

Mathematics

2 answers:

aleksandr82 [10.1K]2 years ago

7 0

Answer:

Yes! |-15| = 15

Step-by-step explanation:

Many people think of absolute value (the two bars symbol around the -15) as ALWAYS POSITIVE.

You can also think of absolute value as a distance. If you move 15 units, it doesn't matter in what direction you go. 15 units travelled is 15 units.

Lastly, absolute value has a V-shaped graph, that is because its always positive.

Paladinen [302]2 years ago

6 0

Yes, the lines on either side of the number -15 mean absolute value. Meaning that whatever number inside of the lines is positive.

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If f(x) = 3x + 2 and g(x) = x^2 + 1, which expression is equivalent to (f . g)(x)?

makvit [3.9K]

Answer:

Step-by-step explanation:

for this function you have to replace the function of g(x) where there's x in the function f(x) that's what the expression f.g(x) means and so this is going to be

3(x²+1)+2

I hope this helps

5 0

3 years ago

-7(v + 5) = 35 help

Airida [17]

Answer:

v=0

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

WILL GIVE BRAINLY PLEASE HELP!!!!!!!

marta [7]

Answer:

r² = 0.5652 < 0.7 therefore, the correlation between the variables does not imply causation

Step-by-step explanation:

The data points are;

X, Y

0.7, 1.11

21.9, 3.69

18, 4

16.7, 3.21

18, 3.7

13.8, 1.42

18, 4

13.8, 1.42

15.5, 3.92

16.7, 3.21

The correlation between the values is given by the relation

Y = b·X + a

$b = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{N\sum X^{2} - \left (\sum X \right )^{2}}$

$a = \dfrac{\sum Y - b\sum X}{N}$

Where;

N = 10

∑XY = 499.354

∑X = 153.1

∑Y = 29.68

∑Y² = 100.546

∑X² = 2631.01

(∑ X)² = 23439.6

(∑ Y)² = 880.902

From which we have;

$b = \dfrac{10 \times 499.354 -153.1 \times 29.68}{10 \times 2631.01 - 23439.6} = 0.1566$

$a = \dfrac{29.68 - 0.1566 \times 153.1}{10} = 0.5704$

$r = \dfrac{N\sum XY - \left (\sum X \right )\left (\sum Y \right )}{\sqrt{\left [N\sum X^{2} - \left (\sum X \right )^{2} \right ]\times \left [N\sum Y^{2} - \left (\sum Y \right )^{2} \right ]}}$

$r = \dfrac{10 \times 499.354 -153.1 \times 29.68}{\sqrt{\left (10 \times 2631.01 - 23439.6 \right )\times \left (10 \times 100.546- 880.902\right )} } = 0.7518$

r² = 0.5652 which is less than 0.7 therefore, there is a weak relationship between the variables, and it does not imply causation.

7 0

3 years ago

Write (5,-3) and (10,-18) in standard form

Lelu [443]

Answer:

y = - $\frac{3}{4}$ x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

3x + 4y = 8 ( subtract 3x from both sides )

4y = - 3x + 8 ( divide all terms by 4 )

y = - $\frac{3}{4}$ x + 2 ← in slope- intercept form

6 0

3 years ago

In a multiple choice quiz, there are 5 questions each with 4 answer choices (a, b, c, and d). Robin has not studied for the quiz

k0ka [10]

Answer:

A. 0.1035

B. 0.1406

C. 0.1025

Step-by-step explanation:

Given that:

the number of sample questions (n) = 5

The probability of choosing the correct choice (p) = 1/4 = 0.25

Suppose X represents the number of question that are guessed correctly.

Then, the required probability that she gets the majority of her question correctly is:

P(X>2) = P(X=3) + P(X =4) + P(X = 5)

$P(X>2) = [ (^{5}C_{3}) \times (0.25)^3 (1-0.25)^{5-3} + (^{5}C_{4}) \times (0.25)^4 (1-0.25)^{5-4} + (^{5}C_{5}) \times (0.25)^5 (1-0.25)^{5-5}$

$P(X>2) = \Bigg [ \dfrac{5!}{3!(5-3)!} \times (0.25)^3 (1-0.25)^{2} + \dfrac{5!}{4!(5-4)!} \times (0.25)^4 (1-0.25)^{1} +\dfrac{5!}{5!(5-5)!} \times (0.25)^5 (1-0.25)^{0} \Bigg ]$