Answer:
1) 68%
2) 68%
Step-by-step explanation:
<h2>1) The ages of trees</h2>
We know the mean and the standard deviation.
The mean is:

The standard deviation is:

The Z-score formula is:

For x=20 the Z-score is:

For x=30 the Z-score is:

Then we look for the percentage of the data that is between
deviations from the mean.
According to the empirical rule 68% of the data is less than 1 standard deviations of the mean. This means that 68% of the trees are between 20 and 30 years old
<h2>
2) Pizza delivery </h2>
First we calculate the Z-scores
We know the mean and the standard deviation.
The mean is:

The standard deviation is:

The z-score formula is:

For x=24 the Z-score is:

For x=30 the Z-score is:

Then we look for the percentage of the data that is between
deviations from the mean.
According to the empirical rule 68% of the data is less than 1 standard deviations of the mean. This means that 68% of pizzas are delivered between 24 and 30 minutes
Answer:
A,B,C
Step-by-step explanation:
in these quadrilaterals, the diagonals bisect each other paralellogram, rectangle, rhombus, square
in these quadrilaterals, the diagonals are congruent rectangle, square, isosceles trapezoid
in these quadrilaterals, each of the diagonals bisects a pair of opposite angles rhombus, square
Answer: Total unit cost =
variable costs + fixed costs
$2 + $4 + $1 + $3 = $10
Step-by-step explanation:
Total unit cost is calculated by the adding variable costs ( such as the direct material cost per unit, direct labor cost per unit and variable manufacturing overhead per unit,) and fixed costs (such as fixed manufacturing overhead per unit)
Therefore
Total unit cost = variable cost + fixed cost
Unit cost of direct materials = $2
Unit cost of direct labor = $4
Unit cost of variable overhead =$1
Unit cost of fixed overhead = $3
Total unit cost = $2 +$4 + $1 + $3 = $10
P(B) = 8/12
P(R | B) = 4/11
P(B ∩ R) = 8/33
The probability that the first ball chosen is black and the second ball chosen is red is about 24% percent
<em><u>Solution:</u></em>
<em><u>The probability is given as:</u></em>

Given that,
A box contains four red balls and eight black balls
Red = 4
Black = 8
Total number of possible outcomes = 12
Let event B be choosing a black ball first and event R be choosing a red ball second.
<h3><u>Find P(B)</u></h3>

<h3><u>Find P(B n R)</u></h3>

<h3><u>Find </u><u>
P(R | B)</u></h3><h3>

</h3>
<em><u>The probability that the first ball chosen is black and the second ball chosen is red is about percent</u></em>

Thus the probability that the first ball chosen is black and the second ball chosen is red is about 24% percent