The table on the left is that of a linear function, and the one on the right is that of an exponential function. Can you tell which function has the higher rate of growth? How?

Answers

Answer 1

Answer:

The correct answer is D.

As you can see, the exponential function grows by doubling the previous output with each increment of the input: start with 1, you double it to get 2, then you double it to get 4, 8 and so on.

On the other hand, the linear function adds 7 with each step. This means that the exponential function will eventually reach and pass the linear one, and will definitely be grater from that point on. In fact, if we continue the table, we get

$\begin{array}{c|c|c}\text{x value}&\text{linear}&\text{exponential}\n4&28&8\n5&35&16\n6&42&32\n7&49&64\n8&56&128\n9&63&256\end{array}$

and you can see how the exponential growth is much faster than the linear one.

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Answers

Answer:

Step-by-step explanation:no

The average sales per customer at a home improvement store during the past year is $75 with a standard deviation of $12. The probability that the average sales per customer from a sample of 36 customers, taken at random from this population, exceeds $78 is:

Answers

The probability that the average sales per customer from a sample of 36 customers, taken at random from this population, exceeds $78 is 0.0668.

Calculation of the probability:

Since The average sales per customer at a home improvement store during the past year is $75 with a standard deviation of $12.

Here we need to find out the z score

= $78-75/ 12/ 36$

= 1.5

Here we considered normal distribution table, we obtain the area that corresponds to 0.25 to be 0.9332

So, the average is less or equal to 78.

Now

Subtract from 1 to get the complement.

So,

P(x>78)=1-0.9332

=0.0668

Learn more about probability here: brainly.com/question/24613748

Answer:

0.0668

Step-by-step explanation:

Assuming the distribution is normally distributed with a mean of $75,

with a standard deviation of $12.

We can find the z-score of 78 using;

$z=(x-\mu)/((\sigma)/(√(n) ) )$

$\implies z=(78-75)/((12)/(36) ) =1.5$

Using our normal distribution table, we obtain the area that corresponds to 0.25 to be 0.9332

This is the area corresponding to the probability that, the average is less or equal to 78.

Subtract from 1 to get the complement.

P(x>78)=1-0.9332=0.0668

What number should I multiply 1 1/4 by to get 7/12

Answers

Let's take our given information and transform it into numbers. We will let x equal the "mystery" number we need to find. Here is our equation:
$1 (1)/(4) x= (7)/(12)$
Now, all we need to do is convert the mixed fraction into an improper fraction:
$(5)/(4) x= (7)/(12)$
Now, just multiply the reciprocal of 5/4 with 7/12, giving us:
$x=(4)/(5)* (7)/(12)$
Finally, just straight up multiply to get an answer of x = 28/60, which can be simplified down to x = 7/15. Therefore, the number you have to multiply 1 1/4 to get 7/12 is 7/15. Hope this helped!

1 and 1/4 is the same as 5/4 so essentially we are asking what do we multiple 5/4 by to get 7/12. Try to keep things as fractions initially to see if there is a fractional answer with whole numbers.

Let x represent the number:
x . 5/4 = 7/12
i.e. 5x/4 = 7/12
We want to get x on it's own so multiply both sides of equation by 4
5x = 4 . (7/12) = 28/12
now divide both sides by 5 to get x on its own
x = (28/12) / 5
This does not equate to a whole number fraction as 28 and 12 are not divisible by 5. So simply convert to decimal
x = 2.3333 / 5 = 0.46666

Silvio wants to find the perimeter of quadrilateral ABCD. He begins by computing the length of side AB using the distance formula. Finish Silvio’s work to find the length of side AB.

Answers

Answer:

Step-by-step explanation:

AB = √(-4)² + (-3)²

AB = √ 16 + 9

AB = √ 25

AB = 5

AD = 4 ; DC = 4 ; BC = 7

Perimeter = 5 + 4 + 4 + 7 = 20 units

Juan and Rob Are selling cookie dough for a school fundraiser Juan Has t Cookie dough Orders Rob has 40 cookie dough orders they have a total of 75 cookie dough orders all together

Answers

Answer:

Juan has 35 orders

Step-by-step explanation:

you subtract 40 from 75 to get 35

A bell tower casts a 60 cm shadow. At the same time a sculpture that is 4.5 meters tall casts a 15 cm shadow. How tall is the bell tower

Answers

Answer: 18

Step-by-step explanation:

x/4.5= 60/15

15x=270

X = 18cm

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