Jane earns $15 per hour. If her regular hours are 40 hours per week, and she

ehidna [41]

The sum of the probabilities in a probability distribution is always 1.
A probability distribution is a collection of probabilities that defines the likelihood of observing all of the various outcomes of an event or experiment. Based on this definition, a probability distribution has two important properties that are always true:
Each probability in the distribution must be of a value between 0 and 1.
The sum of all the probabilities in the distribution must be equal to 1.
An example: You could define a probability distribution for the observation for the number displayed by a single roll of a die. The probability that the die with show a "1" is
1
6
.
That's because there are six possible outcomes, and only one of those outcomes is a "1". Lets label the probabilities of all the possible outcomes for the single die.
Roll a "1": Probability is
1
6

Roll a "2": Probability is
1
6

Roll a "3": Probability is
1
6

Roll a "4": Probability is
1
6

Roll a "5": Probability is
1
6

Roll a "6": Probability is
1
6
Each probability is between 0 and 1, so the first property of a probability distribution holds true. And the sum of all the probabilities:
1
6
+
1
6
+
1
6
+
1
6
+
1
6
+
1
6
=
1
,
so the second property of a probability distribution holds true.

3 0

3 years ago

What is the perimeter of square EFGH, shown? A. 14.1 B. 28.3 C. 34.6 D. 17.3

kap26 [50]

Answer:

The perimeter of square EFGH is 28.28 units

Step-by-step explanation:

Given in the figure as :

EFGH is a square with points E,F,G,H

∵ The measure of each points from center o is same

I.e OE = OF = OG = OH = 5 units

Now, From any of two length from center o , we can measure the length of each side .

So, (OG)² + (OF)² = (GF)²

Or, (5)² + (5)² = (GF)²

Or, 25 + 25 = (GF)²

Or, (GF)² = 50

∴ GF = 5 $\sqrt{2}$ unit

Similarly each side EF, GH , EH have same length

Now, As The perimeter of square = 4 × side

So, The perimeter of square = 4 × ( 5 $\sqrt{2}$ )

Or, The perimeter of square = 20 × ( $\sqrt{2}$ ) = 28.28 unit

Hence The perimeter of square EFGH is 28.28 units Answer

6 0

3 years ago

Grace is painting her room. She created a mixture with 2 cups of blue paint for every 3 cups of white. If she decides to make a

Bas_tet [7]

The answer is 3. If you find the unit rate of white to blue paint and multiply it by 4.5 it would come out to 3.000007 or something minute like that.

5 0

3 years ago

Consider the curve y=ln(3x-1).let p be the point on the curve where x=2.

liraira [26]

A. Yes you are correct that the gradient at any point is 3/(3x-1). However at point P it would be 3/(3*2-1)=2/5
b. The gradient of the normal would therefore be -5/2
We can use the general formula of an equation to get y-ln(5)=-5/2 (x-2)
Now multiply both sides by 2 to get:
2y-2ln(5)=-5x+10
Now when it crosses the x axis we know that y=0 therefore:
5x=10+2ln(5)
Therefore:
x=2+2/5 ln(5) when y=0
You could find an estimate of this number to be 2.64 (3sf) but this might not be sufficient

4 0

3 years ago

Sara is building a fence that will be 7 miles long when it is completed. Sara has finished building 2/3 of the fence. What is th

Butoxors [25]

Answer:

7/3 ft

Step-by-step explanation:

Given data

Lenght of fence= 7 miles

Amount completed= 2/3 of the total length

let us find the amount completed already = 2/3*7= 14/3 miles

Hence the length of fence remaining for completion is

=7- 14/3

=21-14/3

=7/3

Hence the amount in length undon is 7/3 ft

3 0

3 years ago