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3 years ago

8

The relative frequency of Event A in an experiment is 20%. If the experiment is performed 40 times, how many times should you ex

pect Event A to occur?

1 answer:

const2013 [10]3 years ago

6 0

Answer:

8 times

Step-by-step explanation:

20% * 40 = 0.2 * 40

= 8

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4. The Blackhawk Eagles scored 4 points more than the Lane Vikings. The

konstantin123 [22]

Answer:

Lane Viking's Score is 17

Black Eagles's Score is 21

Step-by-step explanation:

Let Lane Viking's Score be x and Black Eagles's Score be y.

Black Eagles's Score = 4+ Lane Viking's Score

so y = 4 + x (Equation 1)

Total Score = 38

Black Eagles's Score + Lane Viking's Score = 38

so y + x =38 (Equation 2)

Putting y's value from Equation 1 in Equation 2

4 + x + x = 38

2x = 38-4

x=34/2

x=17

Putting value of x in Equation 1

y = 4 + 17

y = 21

7 0

3 years ago

The label on a 1-gallon jug of fruit juice states that the serving size is 8 oz. How many servings are in the jug?

Elodia [21]

Answer: 16 fl. oz.

Step-by-step explanation:

There are 128 fl. oz. in one gallon. Divide that by the serving size, 8 fl. oz., and you get 16.

4 0

3 years ago

Find an equation of the set of all points equidistant from the points A(−3, 6, 3) and B(4, 1, −1). Describe the set.

valentinak56 [21]

Answer:

See below

Step-by-step explanation:

I will describe this set in R³. Let P=(x,y,z) be a point equidistant to A and B, that is, the distance from P to A is equal to the distance from P to B.

First, using the usual distance formula, the distance from P to A is equal to $d(P,A)=\sqrt{(x-(-3))^2+(y-6)^2+(z-3)^2}=\sqrt{(x+3)^2+(y-6)^2+(z-3)^2}$

On the other hand, the distance form P to B is equal to $d(P,B)=\sqrt{(x-4)^2+(y-1)^2+(z-(-1))^2}=\sqrt{(x-4)^2+(y-1)^2+(z+1)^2}$

P is equidistant from A and B if and only if P satisfies the equation d(P,A)=d(P,B), that is,

$\sqrt{(x+3)^2+(y-6)^2+(z-3)^2}=\sqrt{(x-4)^2+(y-1)^2+(z+-1)^2}$

Take the square in both sides of this equation to get

$(x+3)^2+(y-6)^2+(z-3)^2=(x-4)^2+(y-1)^2+(z+1)^2$

$(x+3)^2-(x-4)^2+(y-6)^2-(y-1)^2+(z-3)^2-(z+1)^2=0$

You can simplify using difference of squares and multiplying like this:

$(7)(2x-1)+(-5)(2y-7)+(-4)(2z-2)=0$

$14x-10y-8z+36=0$

which is the equation of a plane.

4 0

3 years ago

What is the value of the expression Negative 225 divided by (negative 15)?

Alex

I’m pretty sure it’s 15

7 0

3 years ago

Read 2 more answers

Plz plz plz plz plz plz plz plz plz plz plz plz plz I need help

Molodets [167]

Its a parallelogram

<C+<D=<A+<C

Also

AB||CD

$\\ \rm\Rrightarrow$

$\\ \rm\Rrightarrow \dfrac{1}{2}$

$\\ \rm\Rrightarrow$

Using angle sum property

$\\ \rm\Rrightarrow$

Hence proved

4 0

2 years ago