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ale4655 [162]
3 years ago
8

A total of

Mathematics
1 answer:
slega [8]3 years ago
8 0
Using x as the number of adult tickets sold
If 3x as many student tickets were sold as adults 
--> the number of student tickets is 3x

If the total tickets is 572 and made up of 3x and x

This equation represents the relation ship
Total = 572
number of adult tickets + number of student tickets = 572
x + 3x = 572

When solving for x, we will find the number of adult tickets
x+3x =572
4x=572
x= 572/4
x= 143

143 adult tickets were sold
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If y= -3x7+2x3+ x, the derivative of y with respect to x is
larisa [96]

Answer:

\frac{dy}{dx} = - 21x^{6} + 6x² + 1

Step-by-step explanation:

Differentiate each term using the power rule

\frac{d}{dx} (ax^{n} ) = nax^{n-1}

Given

y = - 3x^{7} + 2x³ + x , then

\frac{dy}{dx} = (7 × - 3 )x^{6} + (3 × 2)x² + (1 × 1 )x^{0}

    = - 21x^{6} + 6x² + 1

8 0
3 years ago
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 9.8
svetlana [45]

Answer:

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 2.575\frac{2.4}{\sqrt{955}} = 0.2

The lower end of the interval is the sample mean subtracted by M. So it is 9.8 - 0.2 = 9.6 reproductions per hour.

The upper end of the interval is the sample mean added to M. So it is 9.8 + 0.2 = 10 reproductions per hour.

The 99% confidence interval for the true mean number of reproductions per hour for the bacteria is between 9.6 and 10.

8 0
2 years ago
Ben has a rectangular area 9 meters long and 6 meters wide. He wants a fence that will go around it as well as grass sod to cove
Blababa [14]

the formula for perimeter is l+l+w+w

So 9+9+6+6= 30 meters of fence


5 0
3 years ago
Read 2 more answers
A container of oregano is 17 pounds heavier than a container of peppercorns their total weight is 253 pounds the peppercorns wil
34kurt
Alright, we can turn the word problem at the beginning into an equation.
Let's represent oregano with "o" and peppercorns as "p".
o=p+17
Also, we know that the two added together are 253 pounds.
o+p=253
Since we know that o=p+17, let's substitute it into the second equation.
(p+17)+p=253
2p+17=253
-17       -17
2p=236
p=118
So, we have 118 pounds of peppercorns. (Although it's irrelevant to the second half of the equation, we also know we have 135 pounds of oregano)
Now, let's convert pounds to ounces.
1 pound = 16 ounces.
So, multiply 118 by 16....
118*16=1888
So, you can make 1888 one-ounce bags of peppercorns.
8 0
3 years ago
Read 2 more answers
Steve surveyed the students in his class to find out their favorite sport. The table shows the results of the survey. What perce
givi [52]
We need to see an image of the table
7 0
3 years ago
Read 2 more answers
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