Answer:
sorry can we have more info?
Step-by-step explanation:
And or both means we multiply the given probability situations that are mutually exclusive and exhaustive - they cannot occur at the same time.
let P(a)=x
then: P(b) * P(a) =3/4
15/16 * x = 3/4
15x/16 = 3/4
therefore x= 3/4 *16/15
x = 4/5
P(a) = 4/5
hope it's clear
Answer: See explanation
Step-by-step explanation:
Let the cost for insuring the applicant = a.
Let the cost for insuring the spouse = b
Let the cost for insuring the first child= c
Let the cost for insuring the second child = d
A 35-year-old health insurance plan and that of his or her spouse costs $301 per month. This means that:
a + b = $301.
That rate increased to $430 per month if a child were included. This means the cost of a child will be:
= $430 - $301
= $129
The rate increased to $538 per month if two children were included. This means the cost for the second child will be:
= $538 - $430
= $108
The rate dropped to $269 per month for just the applicant and one child. His will be the cost of the applicant and a single child. This can be written as:
a + $129 = $269
a = $269 - $129
a = $140
Since a + b = $301
$140 + b = $301
b = $301 - $140
b = $161
Applicant = $140
The spouse = $161
The first child = $129
The second child = $108
Answer:
He performed better in the 800 m race
Step-by-step explanation:
Obtain the standardized score for each event :
Zscore = (score - mean) / standard deviation
1000 meter :
Mean = 4.5 ; Standard deviation = 0.75 ; x = 4.1
Zscore = (4.1 - 4.5) / 0.75
Zscore = - 0.4 / 0.75 = - 0.5333
800 meter :
Mean = 3.2 ; Standard deviation = 0.4 ; x = 3
Zscore = (3 - 3.2) / 0.4
Zscore = - 0.2 / 0.4 = - 0.5
-0.5 > - 0.533
Hence, he performed better in the 800 m race
Step-by-step explanation:
1st term = -n²+6
= -(1)²+6
= -1+6
=5
2nd term = -(2)²+6
= -4+6 = 2
3rd term= -(3)²+6
=-9+6 = -3
4th term= -(4)²+6
= -16+6 = -10
5th term = -(5)²+6 = -25+6 = -19
6th term = -(6)²+6 = -36+6 = -30
5,2, -3,-10,-19, -30
optionB