Data will be collected on the following variables. Which variable is most likely to be approximated by a normal model?

The sum of a number X and 1/2 equal to four which set of equations correctly represents X

tamaranim1 [39]

Answer:

D. 3 1/2

Step-by-step explanation:

Sum means addition (+)

Sum of a number, x and 1/2=4

This means the addition of the two numbers

x+1/2=4

Make x the subject of formula

x=4-1/2

Finding the L.C.M

= 8-1/2

x=7/2

x=3 1/2

4 0

3 years ago

16. A company spends $100 per day on fixed expenses such as electricity, rent, and the like. It also spends $35 per day on each

Paladinen [302]

C = Total Daily Cost
Total Daily Cost = (Salary per employee per day)×(Total no. of employees on that day) + Fixed Expenses.

C = 35x + 100

5 0

3 years ago

Read 2 more answers

a basket of oranges weighs 25lb 3oz. The empty basket weighs 1lb 4oz. What is the weight of the oranges?

marysya [2.9K]

Answer:

383 Oz, or 23.9375 Ibs

Step-by-step explanation:

Convert all the pounds to ounces for both just the basket and the basket with oranges then subratact the basket ounces from the basket and oranges ounces and you get your answer.

3 0

2 years ago

There are two buildings that you want to have in the amusement park, but the size hasn’t been determined yet. Although you don’t

Harrizon [31]

A) The area of a rectangle is A = lw, where l=length of the rectangle and w=width of the rectangle. You know the length of the gift shop, l = 20x + 24. You know the width, w = 36x - 20. Plug those expressions into the equation for area of a rectangle and multiply/foil:
$A = lw\\
A = (20x + 24)(36x - 20)\\
A = (20x)(36x) + (20x)(-20) + (24)(36x) + (24)(-20)\\
A = 720x^{2} - 400x + 864x - 480\\
A = 720x^{2} + 464x - 480$

The expression for the area of the gift shop is $720x^{2} + 464x - 480$ .

B) The equation for the perimeter of the gift shop is P = 2(l+w), where l = length and w = width. Plug your values for l and w into this equation:
$P = 2(l+w)\\
P = 2(20x + 24 + 36x - 20)\\
P = 2(56x + 4) = 2(56x) + 2(4)\\
P = 112x + 8$

The expression for the perimeter of the gift shop is 112x + 8

C) Since you know the perimeter is going to be 176 ft, that means P = 176. Plug that into the equation you found in part B, P = 112x + 8, and solve for x.
$P = 112x + 8\\
176 = 112x + 8\\
112x = 168
x = 1.5$

Once you solve for x, you can plug x into your equations for width and length to find the dimensions. x = 1.5, so:
1) L<span>ength = 20x+24 feet
</span>Length = 20(1.5) + 24 feet = 54 feet
2) Width = <span>36x-20 feet
Width = 36(1.5)-20 feet = 34 feet

Your dimensions are 54 feet (length) by 34 feet (width).</span>

3 0

3 years ago

You recently invested $400,000 of your savings in a security issued by a large company. The security agreement pays you 12% per

ANTONII [103]

Answer:

$722444.49386776

Step-by-step explanation:

Use Compound Intrest Formula

$a = p(1 + \frac{r}{n} ) {}^{nt}$

where p is the original amount.
R is the amount of percentage compounded
N is amount of times compounded per year.
T is how long the interest last.

P is 400,00p

T is 12% or 0.12

N is 4 since it is compounded quarterly

T is 5.

Plug the values in

$400000(1 + \frac{0.12}{4} ) {}^{20}$

Ypu get

$722444.49386776

6 0

3 years ago