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3 years ago

What does the "quadratic portion" of a quadratic equation mean?

1 answer:

7 0

The quadriatic portion of a quadriatic equation is actually the term x^2. On the other hand, the constant in a quadriatic equation are a, b, c, or whatever letter except for x, which is a variable.

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A jar of peanut butter contains 454 g with a standard deviation of 10.2 g. Find the probability that a jar contains more than 46

Fofino [41]

Answer:

The probability that a jar contains more than 466 g is 0.119.

Step-by-step explanation:

We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.

Let X = Amount of peanut butter in a jar

The z-score probability distribution for the normal distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean = 454 g

$\sigma$ = standard deviation = 10.2 g

So, X ~ Normal( $\mu=454 , \sigma^{2} = 10.2^{2}$ )

Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)

P(X > 466 g) = P( $\frac{X-\mu}{\sigma}$ > $\frac{466-454}{10.2}$ ) = P(Z > 1.18) = 1 - P(Z $\leq$ 1.18)

= 1 - 0.881 = 0.119

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

4 0

3 years ago

The sides of a triangle are in the ratio 5 : 12 : 13. What is the length of each side of the triangle if the perimeter of the tr

Ganezh [65]

Answer:

2.5, 6 and 6.5 inches.

Step-by-step explanation:

5 + 12 + 13 = 30

So the shortest side = 5/30 * 15 = 1/6 * 15

= 2.5 inches.

The longest = 13 / 30 * 15 = 13/2

= 6.5 inches,

and the third = 12/30 * 15

= 6 inches.

4 0

3 years ago

Does -2(z+3)-z=-z-4(z+2) have one,zero or infinite solutions

Andrew [12]

Hello from MrBillDoesMath!

Answer:

One solution (z = -1)

Discussion:

-2(z+3)-z=-z-4(z+2) =>

-2z -6 -z = -z -4z - 8 =>

-3z -6 = -5z -8 => add 6 to both sides

-2z = -5z -2 => add 5z to both sides

3z = -5z +5z -3 =>

3z = -3 =>

z = -1

Thank you,

MrB

6 0

3 years ago

A CD usually sells for $14.00. If the CD is 10% off, and sales tax is 6%, what is the total price of the CD, including tax?

Vikki [24]

10% of 14 =1.4
14-1.4=12.6
6% of 14=0.84
12.6+0.84= 13.45

7 0

3 years ago

Which of these relations on {0, 1, 2, 3} are equivalence relations? Determine the properties of an equivalence re- lation that t

slava [35]

Answer:

The relations that are equivalence relations are a) and c)

Step-by-step explanation:

A relation on a set A is called an equivalence relation if it is reflexive, symmetric, and transitive

We are going to analyze each one.

a){ (0,0), (1,1), (2,2), (3,3) }

Is an equivalence relation because it has all the properties.

b){ (0,0), (0,2), (2,0), (2,2), (2,3), (3,2), (3,3) }

Is not an equivalence relation. Not reflexive: (1,1) is missing, not transitive: (0,2) and (2,3) are in the relation, but not (0,3)

c){ (0,0), (1,1), (1,2), (2,1), (2,2), (3,3) }

Is an equivalence relation because it has all the properties.

d){ (0,0), (1,1), (1,3), (2,2), (2,3), (3,1), (3,2) (3,3) }

Is not an equivalence relation. Not transitive: (1,3) and (3,2) are in the relation, but not (1,2)

e){ (0,0), (0,1) (0,2), (1,0), (1,1), (1,2), (2,0), (2,2), (3,3) }

Is not an equivalence relation. Not symmetric: (1,2) is present, but not (2,1)Not transitive: (2,0) and (0,1) are in the relation, but not (2,1)

5 0

3 years ago