1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
e-lub [12.9K]
2 years ago
15

7. a hockey arena has 10 920 seats. the first row of seats around the rink has 220 seats. the number of seats in each subsequent

row increases by 16. how many rows of seats does the arena have?
Mathematics
1 answer:
Mazyrski [523]2 years ago
4 0

The number of rows in the arena is 26

<h3>How to determine the number of rows?</h3>

The hockey arena illustrates an arithmetic sequence, and it has the following parameters:

  • First term, a = 220
  • Sum of terms, Sn = 10920
  • Common difference, d = 16

The number of rows (i.e. the number of terms) is calculated using:

S_n = \frac{n}{2}(2a + (n -1) * d)

So,we have:

10920 = \frac{n}{2}(2 * 220 + (n -1) * 16)

Evaluate the terms and factors

21840 = n(440 + 16n -16)

Evaluate the like terms

21840 = n(424+ 16n)

Expand

21840 = 424n + 16n^2

Rewrite as:

16n^2 + 424n - 21840 = 0

Using a graphical tool, we have:

n = 26

Hence, the number of rows in the arena is 26

Read more about arithmetic sequence at:

brainly.com/question/6561461

#SPJ1

You might be interested in
Y = - 3x + 6
dusya [7]

Answer:

Step-by-step explanation:

systems of linear equations can only have 0, 1, or an infinite number of solutions. These two lines cannot intersect twice. The correct answer is that the system has one solution.

7 0
3 years ago
Ben is going to make 1/4 pound burgers for a barbecue next weekend. He is planning on making 19 burgers. How much hamburger meat
Monica [59]

Answer:

4.75 pounds of hamburger meat

Step-by-step explanation:

In order to calculate the total amount of hamburger meat that Ben would need we would need to multiply the total number of burgers that he wants to make (19) by the amount of meat each burger will use (1/4 pound or 0.25 pound). Therefore, we would do the following...

19 * 0.25 = 4.75 pounds

Finally, we can see that Ben would need a total of 4.75 pounds of hamburger meat to make 19 equal sized 1/4 pound burgers.

4 0
3 years ago
A study of the amount of time it takes a mechanic to rebuild the transmission for a 1992 Chevrolet Cavalier shows that the mean
Dovator [93]

Answer:

B) 0.0069

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this question, we have that:

\mu = 8.4, \sigma = 1.8, n = 40, s = \frac{1.8}{\sqrt{40}} = 0.2846

Find the probability that their mean rebuild time exceeds 9.1 hours.

This is 1 subtracted by the pvalue of Z when X = 9.1. So

Z = \frac{X - \mu}{\sigma}

By the Central Limit Theorem

Z = \frac{9.1 - 8.4}{0.2846}

Z = 2.46

Z = 2.46 has a pvalue of 0.9931

1 - 0.9931 = 0.0069

So the answer is B.

6 0
3 years ago
What is the value of X. I will mark brainliest to the first 1 week right
Paraphin [41]

The two angles form a straight line and need to equal 180 when added together:


7x + 28 + 33 = 180

Simplify:

7x + 61 = 180

Subtract 61 from both sides

7x = 119

Divide both sides by 7

X = 17


Answer: B.17

7 0
2 years ago
Read 2 more answers
What is the vertex of f(x)=-x^2-8x
frez [133]

\bf f(x) = -x^2-8x\implies f(x) = -x^2-8x+0 \\\\[-0.35em] ~\dotfill\\\\ \textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{-8}x\stackrel{\stackrel{c}{\downarrow }}{+0} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{-8}{2(-1)}~~,~~0-\cfrac{(-8)^2}{4(-1)} \right)\implies \left( -4~~,~~0+\cfrac{64}{4} \right)\implies (-4~,~16)

7 0
3 years ago
Read 2 more answers
Other questions:
  • Carlos is looking at moving into a new apartment. He found one that costs $750 per month, but they require that the cost of rent
    8·1 answer
  • Patricia needs 10 yards of fabric to make curtains for her bedroom she also needs 3 yards of fabric to make a cover for her stor
    12·2 answers
  • Twenty students in Class A and 20 students in Class B were asked how many hours they took to prepare for an exam. The data sets
    15·2 answers
  • One number is 6 times another number. it is also 12 more than twice the other number. Find the numbers.
    13·1 answer
  • Identify the transformation on the figure shown.
    14·2 answers
  • PLSSS HELPPP MEEE
    14·2 answers
  • How do you write the number 10 thousands
    12·2 answers
  • 5x - 7 = 5 - x<br> show work please
    9·1 answer
  • Help if you’re good at math I’ll give brainliest
    8·2 answers
  • Point A(12, 0) is on the x-axis and point B(0,−5) is on the y-axis. Find the distance between points A and B
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!