What is the interquartile range of the data set below?
Growth in feet of oak trees: 68,80,73,90,120,94,76,112,101,94,72
(1) 22 (2) 28 (3) 52 (4) 73

Answers

Answer 1

Answer: 68,80,73,90,120,94,76,112,101,94,72 --->
68, 72, 73, 76, 80, 90, 94, 94, 101, 112, 120

Median = 90
Lower Median = 73
Upper Median = 101

IQR = 101 - 73
IQR = 28

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As the marketing designer for Burger King, you are given a 4 in by 6 in logo and have been told to create an advertisement with side lengths six times larger. What is the area of your advertisement (in square feet)? [12 inches = 1 ft]A. 6 ft2
B. 36 ft2
C. 72 ft2
D. 3 ft2

Answers

If you enlarge it 6 times, then you get 24in that become 2ft and 36in that become 3ft. If the formula for calculating the area is a times b, then you have to do 2ft x 3ft and you get 6ft2

So the answer is A. 6 ft2

Solve the equation. -1/3m - 7= 5
a. -4
b. -15
c. -36
d. 6

Answers

-1/3m = 5+7
-1/3m = 12
m = -36

Clare and Han have summer jobs stuffing envelopes for two different companies. Clare's earnings can be seen in the table.

Number of Envelopes Money in Dollars
400 40
900 90
Han earns $15 for every 300 envelopes he finishes.

a. Who would make more money stuffing 1500 envelopes?

How much more would they make? $ more

b. What is the rate of change for each situation.

Clare = per

Hans = per

c. Who gets pair more in their job?

gets paid more.

Answers

Answer:

yes

Step-by-step explanation:

15 x 300 = 7500

What are the solutions to the equation x-7/x=6? a. x=-7 and x=1
b. x=-6 and x=-1
c. x=-1 and x=7
d. x=1 and x=6

Answers

$x - (7)/(x) = 6$
$(x^(2))/(x) - (7)/(x) = 6$
$(x^(2) - 7)/(x) = 6$
$x^(2) - 7 = 6x$
$x^(2) - 6x - 7 = 0$
$x^(2) - 7x + x - 7 = 0$
$x(x) - x(7) + 1(x) - 1(7) = 0$
$x(x - 7) + 1(x - 7) = 0$
$(x + 1)(x - 7) = 0$
$x + 1 = 0$ $or$ $x - 7 = 0$
$x = -1$ $or$ $x = 7$

Answer:

Step-by-step explanation:

The equation is $x-(7)/(x)=6$

LCM of the denominator on the left side gives us:

$(x^(2)-7)/(x)=6$

Cross multiplying and arranging gives us:

$x^(2)-7=6x\nx^(2)-6x-7=0$

This is a binomial, to factor this, we have to think of 2 numbers that multiplied gives us $-7$ [the constant term] and added gives us $-6$ [the coefficient of x].

The two numbers are: $-7$ and $1$ .

Now we can write:

$x^(2)-6x-7=0\n(x-7)(x+1)=0$

Hence, either $(x-7)=0$ OR $(x+1)=0$ . This gives us two solutions, $x=7$ and $x=-1$ . Answer choice C is correct.

Adam builds model rockets. Where he lives , his backyard is 12 feet below sea level. When he ignites his rocket, it flies a maximum of 350 feet straight up into the air before releasing its parachute. What is the altitude of adams rocket at its highest point, as measured from sea level?

Answers

Answer:

The answer is 338 feet.

Step-by-step explanation:

Adam builds model rockets. Where he lives , his backyard is 12 feet below sea level.

The rocket flies a maximum of 350 feet straight up into the air before releasing its parachute.

So, the altitude of Adams rocket at its highest point, as measured from sea level = $350-12=338$ feet

350 _ 12= 338 ft above sea level.

It is known that a certain function is an inverse proportion. Find the formula for this function if it is known that the function is equal to 12 when the independent variable is equal to 2.

Answers

Answer:

$y=(24)/(x)$

Step-by-step explanation:

We have been given that a certain function is an inverse proportion. We are asked to find the formula for the function if it is known that the function is equal to 12 when the independent variable is equal to 2.

We know that two inversely proportional quantities are in form $y=(k)/(x)$ , where y is inversely proportional to x and k is constant of variation.