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3 years ago

PLEASE HELP! ( 20 points! )

Mathematics

1 answer:

sattari [20]3 years ago

3 0

Answer:

15.46

Step-by-step explanation:

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Using these axioms : Commutativity, associativity,, distributivity, the Additive identity, Multiplicative identity, Additive inv

jolli1 [7]

Answer:

See explanation below

Step-by-step explanation:

a + b = 0

The additive identity establishes that if you add a real number to zero, then you get the same real number back.

The additive inverse of a number x is -x (because x + (-x) = 0)

a+b = 0, but by the additive identity we can add -a (the additive inverse of a) to both sides of the equation:

a + b - a = 0 - a

a + b - a = -a (Now, using the Cancellation property we can cancel a and -a on the left side)

b = -a

3 0

4 years ago

The usual life of a computer terminal at a university computer center is known to be normally distributed with a mean of 3.25 ye

UNO [17]

Answer:

a) 0.6915; b) 2.83 years

Step-by-step explanation:

For part a,

The formula for a z score is

$z=\frac{X-\mu}{\sigma}$

Our mean, μ, is 3.25 and our standard deviation, σ, is 0.5.

This gives us

z = (3-3.25)/0.5 = -0.25/0.5 = -0.5

Using a z table, we see that the area under the curve to the left of this is 0.3085. However we want the area to the right; this means we subtract from 1:

1-0.3085 = 0.6915

For part b,

We look in the cells of a z table to find the value closest to 20%, or 0.2000. This is 0.2005, which corresponds with a z score of -0.84:

-0.84 = (X-3.25)/0.5

Multiply both sides by 0.5:

0.5(-0.84) = ((X-3.25)/0.5)(0.5)

-0.42 = X-3.25

Add 3.25 to each side:

-0.42+3.25 = X-3.25+3.25

X = 2.83

The advertised life would be 2.83 years.

8 0

3 years ago

Which one is the answer A.HL B.LL C.HA D.LA

ira [324]

Answer:

Step-by-step explanation:

Both triangles are right.

We are given that legs MN = BC and ∠L = ∠A

Hence leg/ angle (LA ) verifies similarity

7 0

4 years ago

Name two pairs of congruent angles using the figure shown.

Troyanec [42]

Option 1, they are congruent angles because they are base angles of a triangle. Therefore, they are congruent

4 0

2 years ago

50 POINTS! IM SO CONFUSED I'LL MARK BRAINLIEST!!!!

yan [13]

The function of x is $\bold{\frac{-1x}{2}}$ .

SOLUTION:

Given that, we have to write a linear function f with function of (-4) =2 and function of 6=(−3).

Now, let the linear function be $\text{function of x}=a x+b$

Then, function of -4 = $a(-4)+b \rightarrow 2=-4 a+b \rightarrow b=2+4a \rightarrow (1)$

And, function of 6 = $a(6)+b \rightarrow-3=6 a+b \rightarrow b=-3-6a \rightarrow (2)$

On equating (1) and (2) to find the value of a,

$2+4a=-3-6a$

On grouping the common terms,

$4a+6a=-3-2 \rightarrow 10a=-5 \rightarrow a=\frac{-5}{10}$

$\Rightarrow a=\frac{-1}{2} \rightarrow (3)$

On substituting the value of (3) in (1) we get,

$b=2+4a \rightarrow b=2+4\times\frac{-1}{2} \rightarrow b=2+\frac{-4}{2} \rightarrow b=2+(-2)$

$\Rightarrow b=0$

So, the function of x = $\frac{-1x}{2}+0$

4 0

3 years ago