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3 years ago

What - |3| math evaluate absolute value

1 answer:

7 0

The answer is -3, because the negative sign is outside of the absolute value. If the problem looked like this |-3|, then the answer would be 3. To clarify, your answer is -3.

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A cola-dispensing machine is set to dispense a mean of 2.02 liters into a bottle labeled 2 liters. Actual quantities dispensed v

sammy [17]

Answer:

Step-by-step explanation:

Given that a cola-dispensing machine is set to dispense a mean of 2.02 liters into a bottle labeled 2 liters.

Std deviation =0.015 litres

X- litres contained in a bottle is N(2.02, 0.15)

Z score is obtained as $z=\frac{x-2.02}{0.015}$

a) probability a bottle will contain between 2.00 and 2.03 liters

=P(2<x<2.03) = P(-1.33<Z<2)

= 0.4082+0.4772

=0.8854

b) P(X<2) = P(Z<-1.33) =0.5-0.4082 = 0.0918

c) 2% of containers

|z|<0.11

X lies between 0.6883 and 3.352 l

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3 years ago

A garden table and a bench cost $673 combined. The garden table costs $77 less than the bench. What is the cost of the bench?

JulsSmile [24]

Answer:

the bench costs 596

Step-by-step explanation:

673-77=596

8 0

3 years ago

In the expression 2a+3b-4c, 2a,3b,and -4c are examples of?

erica [24]

Terms they are examples of terms.

6 0

3 years ago

Read 2 more answers

In parallelogram ABCD,AB^4+AD^2+AB^2*AD^2=AC^2*BD^2.If angle ABC=x,find the product of all possible values of x

almond37 [142]

Answer:

Hello,

Step-by-step explanation:

AB=DC=b, AD=BC=a

p=BD, q=AC

angle ABC=x

$AB^4+AD^4+AB^2*AD^2=AC^2*BD^2\\\\b^4+a^4+b^2a^2=(a^2+b^2+2abcos(X))(a^2+b^2-2abcos(X)\\\\(a^2+b^2+2a^2b^2)-a^2b^2=((a^2+b^2)^2-4a^2b^2*cos^2(X))\\\\\\4a^2b^2cos^2(X)=a^2b^2\\\\\\cos^2(X)=\dfrac{1}{4} \\\\(cos(X)-\dfrac{1}{2} )(cos(X)+\dfrac{1}{2} )=0\\cos(x)=\frac{1}{2} \ or\ cos(X)=\dfrac{-1}{2} \\\\\\X=60^o =\dfrac{\pi}{3} rad \ or \ X=120^o=\dfrac{4\pi}{3} rad\\\\\\\\Product=\dfrac{\pi}{3}*\dfrac{4\pi}{3} =\boxed{\dfrac{4\pi^2}{9}}\\$

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3 years ago

X+Y=-11 solving linear equations by graphing

klasskru [66]

Answer:

the graph is attached

Step-by-step explanation:

This sort of equation makes it easy to find the x- and y-intercepts. Setting x to zero gives ...

y = -11 . . . . . the y-intercept

Setting y to zero gives ...

x = -11 . . . . . the x-intercept

You can plot these two points, then draw a line through them to complete the graph.

Every point on this line is a solution to the equation.

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3 years ago