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3 years ago

Question 2

Mathematics

1 answer:

DENIUS [597]3 years ago

8 0

9514 1404 393

Answer:

1.05

Step-by-step explanation:

Following instructions, we have ...

Z = (X -μ)/σ

Z = (180 -159)/20 = 21/20

Z = 1.05

The Z-score associated with the value 3 minutes is 1.05.

_____

Additional comment

About 14.7% of customers will be getting free coffee.

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What are the rational numbers of -12,0,35,4.85,√12,√36,19/6,-10/11,1.4949949994

klemol [59]

All of those numbers are rational, except the square root of 12.

6 0

3 years ago

The perimeter of a rectangular sandbox is 28ft. The length is six times the width.

VLD [36.1K]

Let the width =x
length = 6x
p=14x
28=14x
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7 0

3 years ago

Find the indicated limit, if it exists.

kondor19780726 [428]

Answer:

d) The limit does not exist

General Formulas and Concepts:

Calculus

Limits

Right-Side Limit: $\displaystyle \lim_{x \to c^+} f(x)$
Left-Side Limit: $\displaystyle \lim_{x \to c^-} f(x)$

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Limit Property [Addition/Subtraction]: $\displaystyle \lim_{x \to c} [f(x) \pm g(x)] = \lim_{x \to c} f(x) \pm \lim_{x \to c} g(x)$

Step-by-step explanation:

*Note:

In order for a limit to exist, the right-side and left-side limits must equal each other.

Step 1: Define

Identify

$\displaystyle f(x) = \left\{\begin{array}{ccc}5 - x,\ x < 5\\8,\ x = 5\\x + 3,\ x > 5\end{array}$

Step 2: Find Right-Side Limit

Substitute in function [Limit]: $\displaystyle \lim_{x \to 5^+} 5 - x$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} 5 - x = 5 - 5 = 0$

Step 3: Find Left-Side Limit

Substitute in function [Limit]: $\displaystyle \lim_{x \to 5^-} x + 3$
Evaluate limit [Limit Rule - Variable Direct Substitution]: $\displaystyle \lim_{x \to 5^+} x + 3 = 5 + 3 = 8$

∴ Since $\displaystyle \lim_{x \to 5^+} f(x) \neq \lim_{x \to 5^-} f(x)$ , then $\displaystyle \lim_{x \to 5} f(x) = DNE$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

5 0

3 years ago

The Ferry family rented 50 chairs for $150. Which expression can be used to find the cost per chair?There are 330 walnuts in 6 b

True [87]

Step-by-step explanation:

Quesion 1

The cost of one chair can be found by dividing the cost of the total chairs by the number of chairs

hence, cost per chair= 150/50= $3 per chair

Question 2

let us find the number of walnuts per bag

= 330/6

=55 walnuts per bag

hence in two bags there will be 55*2= 110 walnuts

Question 3

Option D is an example of a unit rate.

The unit rate is defined as the cost of one unit of an item, or the value that represents a unit of a quantity... D 18 miles driven in a week

4 0

3 years ago

Carter invested $16,000 in an account paying an interest rate of 5.6% compounded monthly. Assuming no deposits or withdrawals ar

jenyasd209 [6]

Answer:

11 years.

Step-by-step explanation:

Given that Carter invested $ 16,000 in an account paying an interest rate of 5.6% compounded monthly, to determine, assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $ 29,600, the following calculation must be performed:

16,000 x (1 + 0.056 / 12) ^ Yx12 = 29,600

Y = 11

16,000 x 1.4666 ^ 132 = X

29,581.70 = X

Thus, rounded to the nearest year, it would take 11 years for the account to reach $ 29,600.

8 0

3 years ago