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Nina [5.8K]
2 years ago
5

Ben sells greeting cards for $5 each in his online store. He also charges $1.99 for shipping. The total cost, y, of an order fro

m Ben's store is found using the equation y = 5x + 1.99, where x is the number of cards bought. Which quantity represents the dependent variable in this problem situation?
Mathematics
1 answer:
laila [671]2 years ago
7 0
5 would be the dependent variable because the number 5 depends on how many greeting cards are bought.
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Jim is assessing the popularity of his high school football team's website for the first 5 weeks after the season ends. The aver
Maksim231197 [3]
Hey!


There are three sentences in this problem that require us to fill in the blanks with the correct number. Let's start by filling in the first sentence.

SENTENCE #1

The initial number of visits to the website was _____.

Before we being placing numbers in the blank, I would like to make sure you know the meaning of the terms in this sentence that you may not understand. I'm talking about the word initial. The term initial means the first or beginning of something. So, to simplify, the sentence is basically asking us for the first number of visits to the football team's website. It does not directly state that it wants the first number of visits in the first day or the first hour or first five hours, so we'll just assume it wants the first number of visits in the week 0.

To find the number of visits in week 0 all we have to do is review the chart and locate week 0. The number of visits to the website on week 0 is 48,000. So, the sentence completed should look something like this...

<em>The initial number of visits to the website was</em>  48,000.

SENTENCE #2

The percent decrease from the 4^{th} week to the 5^{th} week was ____ %.

Before we fill in the blank, I want to make sure you understand how to calculate a percentage decrease. The first step is to work out the difference (or the decrease) between the two numbers you are comparing. To do that, you can write your equation that looks something like this...

decrease = original  number-new  number

Then we would have to divide the decrease by the original number and multiply that answer by 100. So your new equation would have to look something like this...

% decrease=decrease ÷ original number · 100

***Note: If your answer ends up being a negative number, then this is a percentage increase.

So, now that we understand that let's move on the finding the percentage decrease in both the weeks.

The percentage decrease between both the weeks is 50%. So this means the new sentence should look something like this...

<em>The percent decrease from week 4 to week 5 was</em>  50%.

SENTENCE #3

The minimum number of visits on the website in the first 5 weeks since Jim began his assessment was _____ .

Solving this part of the sentence will be simple. All we have to do is take a look at the last week, which is week 5. This will give us the minimum number of visits to the football website.

So, your completed sentence should look something like this...

<em>The minimum number of visits on the website in the first 5 weeks since Jim began his assessment was</em>  1,500.

Hope this helps!


- Lindsey Frazier ♥
5 0
2 years ago
Read 2 more answers
An element with mass 140 grams decays by 21.6% per minute. How much of the element is remaining after 20 minutes, to the nearest
balandron [24]
The answer to this question is 1.1 grams
8 0
2 years ago
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The Substitution Property of Equality allows you to say that if 7j + 14k = 28, and j = 2, then _____.
Naddik [55]
The answer is 7*2+14k=28 
k is 1
8 0
2 years ago
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Suppose that 4% of the 2 million high school students who take the SAT each year receive special accommodations because of docum
dangina [55]

Answer:

a. 0.0122

b. 0.294

c. 0.2818

d. 30.671%

e. 2.01 hours

Step-by-step explanation:

Given

Let X represents the number of students that receive special accommodation

P(X) = 4%

P(X) = 0.04

Let S = Sample Size = 30

Let Y be a selected numbers of Sample Size

Y ≈ Bin (30,0.04)

a. The probability that 1 candidate received special accommodation

P(Y = 1) = (30,1)

= (0.04)¹ * (1 - 0.04)^(30 - 1)

= 0.04 * 0.96^29

= 0.012244068467946074580191760542164986632531806368667873050624

P(Y=1) = 0.0122 --- Approximated

b. The probability that at least 1 received a special accommodation is given by:

This means P(Y≥1)

But P(Y=0) + P(Y≥1) = 1

P(Y≥1) = 1 - P(Y=0)

Calculating P(Y=0)

P(Y=0) = (0.04)° * (1 - 0.04)^(30 - 0)

= 1 * 0.96^36

= 0.293857643230705789924602253011959679180763352848028953214976

= 0.294 --- Approximated

c.

The probability that at least 2 received a special accommodation is given by:

P (Y≥2) = 1 -P(Y=0) - P(Y=1)

= 0.294 - 0.0122

= 0.2818

d. The probability that the number among the 15 who received a special accommodation is within 2 standard deviations of the number you would expect to be accommodated?

First, we calculate the standard deviation

SD = √npq

n = 15

p = 0.04

q = 1 - 0.04 = 0.96

SD = √(15 * 0.04 * 0.96)

SD = 0.758946638440411

SD = 0.759

Mean =np = 15 * 0.04 = 0.6

The interval that is two standard deviations away from .6 is [0, 2.55] which means that we want the probability that either 0, 1 , or 2 students among the 20 students received a special accommodation.

P(Y≤2)

P(0) + P(1) + P(2)

=.

P(0) + P(1) = 0.0122 + 0.294

Calculating P(2)

P(2) = (0.04)² * (1 - 0.04)^(30 - 2(

P(2) = 0.00051

So,

P(0) +P(1) + P(2). = 0.0122 + 0.294 + 0.00051

= 0.30671

Thus it 30.671% probable that 0, 1, or 2 students received accommodation.

e.

The expected value from d) is .6

The average time is [.6(4.5) + 19.2(3)]/30 = 2.01 hours

8 0
2 years ago
On Tuesday morning, the temperature is -5º F. The temperature rises 3 4 degree each hour for 6 hours before dropping 1 4 degree
Mice21 [21]

Answer:

The temperature in degrees after 9 hours is -1.25 degrees Fahrenheit

Step-by-step explanation:

Here, we want to know the temperature after 9 hours

Per hour rise each hour is 3/4 degree = 0.75 degree

In 6 hours that will be 0.75 * 6 = 4.5 degrees

Or hour drop is 1/4 = 0.25 degree

In 3 hours, that will be 0.25 * 3 = 0.75 degree

Since it is a drop, we have -0.75 degree

Temperature after 9 hours will be;

-5 + 4.5 -0.75

= -5.75 + 4.5 = -1.25 degrees fahrenheit

8 0
2 years ago
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