Connor and Matthew each live in a different city. Each Thursday for ten weeks, they recorded the high temperature. The data below is the high temperature, in Fahrenheit, that they recorded. Connor's data: 50, 51, 50, 66, 60, 66, 71, 70, 72, 65, and 70. Matthew's data: 72, 82, 76, 84, 77, 73, 70, 67, 67, 56, and 65. What is the range of temperatures in Connor's data?

Answers

Answer 1

Answer:

The range is 22

Step-by-step explanation:

The range is a measure of central tendency which refers to the difference between the highest value in a data set and the lowest value in the set.

For Conor’s data, highest recorded value is 72 while the lowest is 50

Thus, the range is 72-50

Thus, the range. is 22

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How much would $500 invested at 4% interest compounded continuously be worth after 7 years? Round your answer to the nearest cent. A. $640.00
B. $648.71
C. $657.97
D. $661.55

Answers

The answer is D. $661.55

A = P * eᵃˣ
A - the future value
P - the principal
a - the rate
x - the period of time

We know:
A = ?
P = $500
a = 4% = 4%/100% = 0.04
x = 7

A = P * eᵃˣ
A = 500 * e⁰.⁰⁴*⁷
A = 661.55

Which is greater, five ones and eight tenths or fifty-eight tenths

Answers

both the fractions 5 ones and 8 tenths and 58/10 are equal

When x = -3 on the graph of y = 2|x| + 3 what will be the y-coordinate?A. -3
B. 3
C. -9
D. 9

Answers

Substitute -3 into the equation

y = 2|x| + 3
y = 2 (3) + 3
y = 6 + 3
y = 9

Answer D

Henrietta has $120 to buy a new bicycle. She finds the bike that she wants to buy on sale for 20% off the regular price of $150. If there is 6% sales tax, which of the following best describes the amount of money Henrietta has with regards to buying the bike. a. Henrietta has enough before the tax, but not enough after the tax. b. Henrietta has enough money even after the tax. c. Henrietta does not have enough money even before the tax. d. There is not enough information given.

Answers

Given:
Henrietta budget: 120
Original Price of the bike : 150
discount: 20%
sales tax: 6%

150 * 20% = 30
150 - 30 = 120 discounted price

120 * 6% = 7.2 sales tax
120 + 7.2 = 127.20 total cost of the bike

Since Henrietta only has 120, A.) Henrietta has enough before the tax, but not enough after the tax.

Answer:

A. Henrietta has enough before the tax, but not enough after the tax.

Step-by-step explanation:

Select the proper order from least to greatest for 1/2, 5/6, 2/7, 4/2?

Answers

Answer: Proper order form least to greatest is given by

$(2)/(7),(1)/(2),(5)/(6),(4)/(2)$

Step-by-step explanation:

Since we have given that

$(1)/(2),(5)/(6),(2)/(7),(4)/(2)$

We need to write it in proper order from least to greatest.

For this we are required to take the L.C.M. of denominators:

1) L.C.M. of 2,6,7,2 = 42

2) Make the denominator 42:

$(1)/(2)* (21)/(21)=(1* 21)/(2* 21)=(21)/(42)\n\n(5)/(6)* (7)/(7)=(5* 7)/(6* 7)=(35)/(42)\n\n(2)/(7)* (6)/(6)=(2*6)/(7* 6)=(12)/(42)\n\n(4)/(2)* (21)/(21)=(4* 21)/(2* 21)=(48)/(42)$

From least to greatest :

$(12)/(42),(21)/(42),(35)/(42),(48)/(42)\n\n(2)/(7),(1)/(2),(5)/(6),(4)/(2)$

the least is 2/7 then 1/2 then 5/6 and the greatest is 4/2

Evaluate: xy - x (x - y^0) if x = 2 and y = -1/2

Answers

Hi

2(-1/2) - 2(2+(-1/2)^0)
= -2/2 - 2(2+(-1/2)^0)
= -1 - 2(2+(-1/2)^0)
= -1 -2 (2+1)
= -1 -2(3)
= -1 -6
= -7

I hope that's help :)

If you have any further questions please let me know :)

$2(- (1)/(2) ) - 2(2+(- (1)/(2))^0)$

$- (2)/(2) - 2(2+(- (1)/(2) )^0)$

$-1 - 2(2+(- (1)/(2) )^0)$

$-1 -2 (2+1)$

$-1 -2*(3)$ -1 -2(3)

$-1 -6$

$-7$

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