MATHEMATICS HIGH SCHOOL

Jack works after school. Each day he is paid a set amount, plus an hourly wage.Hours 1 1.5 2 2.5 3
Pay 18 23 28 33 38

Assume Jack works from 2:30 P.M. to 7:00 P.M. Using the function f(x) = 10x + 8, how much would he earn?
A. $33
B. $35.50
C. $45
D. $53

Answers

Answer 1
Answer:

Answer:

B.35.50

Step-by-step explanation:

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phillip sells electronics and works on a commision basis. if his commossion is 4%, and he sells $15,000 worth of electronics, what are his earnings

Sam's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Sam $5.70 per pound, and type B coffee costs $4.15 per pound. This month, Sam made 142 pounds of the blend, for a total cost of $688.50. How many pounds of type B coffee did he use?

Answers

Answer:

165.90 pounds

Step-by-step explanation:

Answer:

165.90

Step-by-step explanation:

I put $200 in a saving account with 7% interest a year. How much will i have in 19 years

Answers

it would be 200×0.07= 14×19= 266
I = PRT
P for Principle Amount
R for Rare
T for Time in years

I = 200 × 0.07 × 19        (70% = (7)/(100) = 0.07)
  = $266 - this is the interest

You will have 200 + 266 = $466 in your account

What is the total amount that First Consumer Bank will receive after lending Jane $7,000 for three years at an interest rate of 5 percent, compounded annually?

Answers

Answer:  $8103.375

Step-by-step explanation:

The compound amount after x years  is given by :-

A=P(1+r)^x, where p is the principal amount , r is the rate of interest .

Given: The principal amount = $7,000

The rate of interest per year = 5 % = 0.05

Time in years = 3

Then, the compound amount is given by :_

A=7,000(1+0.05)^3\n\n\Rightarrow\ A=7,000(1.05)^3\n\n\Rightarrow\ A=\$8103.375
take you amount and add 1 with the interest in brackets. close the brackets and square your year, then calculate. 


formula:
7000(1+5%) multiplied by the year
=8103.38

A car rental agency initially offers a car that can go 304 miles on 19/2 gallons of gasoline. There are other vehicles available at the agency, shown below. Which of the other cars have a greater unit rate of miles per gallon than the recommended car?A) 187 miles on 17/2 gallons
B) 357 miles on 21/2 gallons
C) 216 miles on 27/2 gallons
D) 209 miles on 11/2 gallons
E) 115 miles on 5/2 gallons

Answers

Given:
304 miles on 19/2 gallons of gasoline.

304 miles ÷ 19/2 gallons = 304 miles * 2/19 gallon = 608 /19 = 32 miles per gallon.

Compute unit rate of each choices.
a) 187 miles ÷ 17/2 gallons = 187 * 2/17 = 374/17 = 22 miles per gallon
b) 357 miles ÷ 21/2 gallons = 357 * 2/21 = 714/21 = 34 miles per gallon
c) 216 miles ÷ 27/2 gallons = 216 * 2/27 = 432/27 = 16 miles per gallon
d) 209 miles ÷ 11/2 gallons = 209 * 2/11 = 418/11 = 38 miles per gallon
e) 115 miles ÷ 5/2 gallons = 115 * 2/5 = 230/5 = 46 miles per gallon

The car with the greater unit rate of miles per gallon than the recommended car is CHOICE E. 46 MILES PER GALLON

What are 2 thirds of 800

Answers

2/3x800= 1600/3 or 533 1/3
2/3 of 800 is 1600/3 or 533.33 or 533 1/3

The distribution of heights for adult men in a certain population is approximately normal with mean 70 inches and standard deviation 4 inches. Which of the following represents the middle 80 percent of the heights ? A. 2.5% B. 5% C. 16% D. 1%

Answers

The interval that represent the middle 80% of the heights (inches) is [64.88, 75.12].

Step-by-step explanation:

Given :

Mean -- \rm \mu = 70 \; inches

Standard Deviation -- \rm \sigma = 4 \; inches

Calculation :

We want to know an interval in which the probability that a height falls there is 0.8.  

In such interval, the probability that a value is higher than the right end of the interval is

\rm P(x>z) = \frac {1-0.8}{2} = 0.1  

If x is the distribuition of heights, then we want y such that P(x > y) = 0.1.

Z = (x-\mu)/(\sigma)

 

Now, let

U = (y-70)/(4)  

We have

\rm 0.1 = P(x>y)= P((x-70)/(4) > (y-70)/(4))=P(Z>U)=1-\phi(U)

\phi (U) = 1-0.1=0.9      

by looking at the table, we find that U = 1.28, therefore

(y-70)/(4)=1.28

1.28* 4 + 70 = y

y=75.12

The other end of the interval is the symmetrical of 75.12 respect to 70, hence it is

70- (75.12-70) = 64.88.  

The interval that represent the middle 80% of the heights (inches) is [64.88, 75.12].

For more information, refer the link given below

brainly.com/question/10729938?referrer=searchResults

Answer:

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12]

Step-by-step explanation:

I beleive those options corresponds to another question, i will ignore them. We want to know an interval in which the probability that a height falls there is 0.8.

In such interval, the probability that a value is higher than the right end of the interval is (1-0.8)/2 = 0.1

If X is the distribuition of heights, then we want z such that P(X > z) = 0.1. We will take W, the standarization of X, wth distribution N(0,1)

W = (X-\mu)/(\sigma) = (X-70)/(4)

The values of the cumulative distribution function of W, denoted by \phi , can be found in the attached file. Lets call y = (z-70)/(4) . We have

0.1 = P(X > z) = P((X-70)/(4) > (z-70)/(4)) = P(W > y) = 1-\phi(y)

Thus

\phi(y) = 1-0.1 = 0.9

by looking at the table, we find that y = 1.28, therefore

(z-70)/(4) = 1.28\nz = 1.28*4+70 = 75.12

The other end of the interval is the symmetrical of 75.12 respect to 70, hence it is 70- (75.12-70) = 64.88.

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12] .
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