Answer: 101.69
Step-by-step explanation:
Formula we use to find the z-score :-
(1)
Given :
Daniel's z score : z= 1.67
Let x be the raw score for Daniel's exam grade, then substitute the values of in (1), we get
Hence, the raw score for Daniel's exam grade = 101.69
A) The constant of proportionality in this proportional relationship is
B) The equation to represent this proportional relationship is y = 0.2x
<h3><u>Solution:</u></h3>
Given that,
The amount Naomi pays each month for international text messages is proportional to the number of international texts she sends that month
Therefore,
This is a direct variation proportion
Let "y" be the amount that Naomi pays each month
Let "x" be the number of international texts she sends that month
Therefore,
y = kx -------- eqn 1
Where, "k" is the constant of proportionality
Thus the constant of proportionality in this proportional relationship is:
<em><u>Last month, she paid $3.20 for 16 international texts</u></em>
Therefore,
y = 3.20
x = 16
Thus from eqn 1,
Substitute k = 0.2 in eqn 1
y = 0.2x
The equation would then be y = 0.2x
Hank will need 2 gallons of gas. 85/5 is 17, so Hank can go 17 miles on 1 gallon of gas. 17•2= 34, to go 34 miles you will need 2 gallons of gas.
M = hours driven by Maria
c = hours driven by Carlos
since we know that Carlos was driving at an average of 52 mph, then in 1 hour he drove 52 miles, in 2 hours he drove 2*52 miles in "c" hours he drove c*52 miles or
52c.
Maria on the other hand is faster and does 54 mph, in 1 hour she does 1 * 54 miles, and on 2 hours she does 2 * 54 miles and in "m" hours she does m * 54 miles or
54m.
now, we know the total amount of miles they both drove is 217, so whatever "m" and "c" are we know that
54m + 52c = 217.
we also know it took 4.1 for the whole trip, so
m + c = 4.1.
so Maria drove for 1.9 hours.
How many hours did Carlos drive for? well, c = 4.1 - m.
Answer:
The employee earned a total of $1004.40 dollars in commissions this week
Step-by-step explanation:
Times the number of televisions (36) by there cost ($620)
That will give you $22320
Then time $22320 by 0.045 which will give you $1004.40
Hope that helps