Answer:
48
Step-by-step explanation:
A = bh/2
A= 8 x 12 / 2
A= 96 / 2
A = 48
Answer:
they are not parallel
Step-by-step explanation:
they intersect eachother
Answer:
1/21
Step-by-step explanation:
Cards: 2,3,4,5,6,7,8 7 cards
1st card :5
P(5) = number of 5's / total
= 1/7
Then we keep the card
Cards: 2,3,4,6,7,8 only 6 cards left
card less than 4: 2,3
P (card less than 4) = number of cards less than 4/ total cards
= 2/6 = 1/3
P (5, no replacement, card less than 4) = P(5) * P( less than 4)
= 1/7 * 1/3
=1/21
Answer:
14,15,16
Step-by-step explanation:
a+a+1 +a+2=45
3a+3 =45
3a=45-3
3a=42
a=42:3 =14(the first number
14+1=15 (the second number
14+2=16 (the third number, the largest number
Answer:
( $74.623, $83.777)
The 90% confidence interval is = ( $74.623, $83.777)
Critical value at 90% confidence = 1.645
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = $79.20
Standard deviation r = $10.41
Number of samples n = 14
Confidence interval = 90%
Using the z table;
The critical value that should be used in constructing the confidence interval.
z(α=0.05) = 1.645
Critical value at 90% confidence z = 1.645
Substituting the values we have;
$79.20+/-1.645($10.42/√14)
$79.20+/-1.645($2.782189528308)
$79.20+/-$4.576701774067
$79.20+/-$4.577
( $74.623, $83.777)
The 90% confidence interval is = ( $74.623, $83.777)
