Which of the following is equal to the expression below, (4^-5)^3

At your new job, you need to sell at least $200 worth of clothing product to earn a bonus. Each t-shirt sells for $9. How many t

natka813 [3]

You need to sell 23 shirts to get your bonus

8 0

4 years ago

The function f(x)=5(2)^x was replaced with f(x)+k , resulting in the function graphed below.

ella [17]

In this problem, you have to find the y- intercept of $f(x)=5(2)^x$ . I graphed mine into a graphing calculator. An algebraic way to find it is to input x=0 in the function. The y-intercept is 5. You can see the y-intercept for the new one is -2. That means we shifted the graph down 7 units. (Vertical Shift down 7)
k=-7

5 0

3 years ago

Read 2 more answers

| 7 + m | - 4 > 8

cestrela7 [59]

Answer:

m > 5 or m < -19

Step-by-step explanation:

We are given the Inequality:

$\displaystyle \large{ |7 + m| - 4 > 8}$

First, add both sides by 4.

$\displaystyle \large{ |7 + m| - 4 + 4 > 8 + 4} \\ \displaystyle \large{ |7 + m| > 12}$

Absolute Value Property

$\displaystyle \large{ |a| = \sqrt{ {a}^{2} } }$

Given a = any expressions and b = any positive numbers, zero or any expressions.

$\displaystyle \large{ |a| = b \longrightarrow a = \pm b}$

From the Inequality, change > to equal

$\displaystyle \large{ 7 + m = \pm12}$

Subtract 7 both sides.

$\displaystyle \large{ 7 - 7 + m = \pm12 - 7} \\ \displaystyle \large{ m = \pm12 - 7}$

±12-7 can be 12-7 = 5 or -12-7 = -19

$\displaystyle \large{ m = 5, - 19}$

Refer to the attachment. The region is when the absolute value function is greater than constant function y = 12 or a blue horizontal line.

Since the absolute graph is above constant graph when x > 5 and x <-19.

Therefore,

$\displaystyle \large{ m > 5, m < - 19}$

3 0

3 years ago

Find the Area of the shape (Area of Composite Shapes)

Sloan [31]

Answer:

223.5 Km

Step-by-step explanation:

Area = Length x Width

Solving for Square Shape

8 · 6 = 48 km

Area = Length x Width

Solving for Rectangle Shape

9 · 14 = 126 km

Area = Length x Width ÷ 2

Solving for Triangle Shape

11 · 9 = 99 ÷ 2 = 49.5 Km

48 + 126 + 49.5 = 223.5 Km

5 0

3 years ago

Read 2 more answers

You have been hired as the quality control office of a pharmaceutical company that manufactures aspirin tablets. According to th

Firlakuza [10]

Answer:

$P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413$

$P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.$

So then the probability that the batch would be accepeted is:

$0.375413+0.375413=0.7508$

Step-by-step explanation:

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=24, p=0.04)$

On this case p=0.04 represent the probability that a random the tablet would be NOT accepted

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

They accept the batch if there is only one or no tablet that doesn’t meet the test specification, so let's find the individual probabilities for this case:

$P(X=0)=(24C0)(0.04)^0 (1-0.04)^{24-0}=0.375413$

$P(X=1)=(24C1)(0.04)^1 (1-0.04)^{24-1}=0.$

So then the probability that the batch would be accepeted is:

$0.375413+0.375413=0.7508$

3 0

3 years ago

Which of the following is equal to the expression below, (4^-5)^3​

Which of the following is equal to the expression below, (4^-5)^3