A person takes up 18 inches of space on a stadium bleacher. If one row of bleachers is 100 feet long and
there are 20 rows of bleachers, how many people can fit into the stands?

Answer:

Step-by-step explanation:

Word problem is a topic in mathematics that involves the interpretation of a given question with a mathematical expression so as to determine the value of the required variable.

Example: The price of a pencil is $10, and that of a ruler is $15.25. If Charles bought 5 pencils and 4 rulers, calculate the total amount of money spent.

price of a pencil = $10

price of a ruler = $15.25

Then,

cost of 5 pencils = $10 x 5

                            = $50

cost of 4 rulers = $15.25 x 4

                         = $61

Total amount of money spent by Charles = $50 + $61

                              = $111

The total amount of money spent by Charles is $111.

Answer:

31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days

Step-by-step explanation:

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

Normal probability distribution

When the distribution is normal, we use the z-score formula.

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

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

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

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

In this question, we have that:

[tex]\mu = 270, \sigma = 90, n = 18, s = \frac{90}{\sqrt{18}} = 21.2[/tex]

What is the probability that 18 randomly selected bulbs would have an average life of no more than 260 days?

This is the pvalue of Z when [tex]X = 260[/tex]. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{260 - 270}{21.2}[/tex]

[tex]Z = -0.47[/tex]

[tex]Z = -0.47[/tex] has a pvalue of 0.3192.

31.92% probability that 18 randomly selected bulbs would have an average life of no more than 260 days

Answer:

No, he does not have enough money to buy the grapes because he only has 15$ when in total the the grapes are $28.35.

Step-by-step explanation:

Answer:

$22.50

Step-by-step explanation:

So if each topping cost 2.50 then just multiply by 9

Your answer is linear.

Here,

a+b=20

ab=50

we know that,

[tex]\tt{ (a+b)^2=a^2+b^2+2ab }[/tex] ⠀

According to the question,

[tex]\tt{(20)^2=a^2+b^2+2×50 }[/tex] ⠀

[tex]\tt{ 400=a^2+b^2+100 }[/tex] ⠀

[tex]\tt{ a^2+b^2=400-100 }[/tex] ⠀

[tex]\tt{a^2+b^2=300 }[/tex] ⠀

Answer:

      a² + b² = 300

Step-by-step explanation:

a + b = 20  ; ab = 50

(a +b)² = a²+ b² + 2ab

a² + b² + 2ab = (a + b)²

a² + b² + 2*50 = (20)²

a² + b² + 100 = 400

         a² + b² = 400 - 100

        a² + b² = 300

Answer: it’s at the middle

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

PEMDAS 19 times 2 is 38 plus 5 equals 43

Answer:

Slop is 3/4

Step-by-step explanation:

3x - 4y - 16 = 0

- 4y = -3 x + 16

y= ( -3 / -4 ) x + 16 / ( -4 )

y= (3/4) x - 4

Answer:

[tex]6x^{2} -9x+3[/tex]

Step-by-step explanation:

[tex](3x-3) (2x-1)[/tex]

[tex]3x (2x-1)-3(2x-1)[/tex]

[tex]6x^{2} -3x-6x+3[/tex]

[tex]6x^{2} -9x+3[/tex]

Answer:

45+3.x

Step-by-step explanation:

Each person gets a haircut --> 3.15= 45

Answer:

M AED = 32.5º

Explanation:

M AED = 1/2 x (113º - 48º) = 32.5º

This is an example of angles with vertex outside the circle and their arcs. The formula to find the measure of an angle with the vertex outside the circle is 1/2 x (difference of intercepted arcs), in this case it's 1/2 x (113º - 48º), which equals 32.5º.

Answer:

[tex] - \frac{1}{5 \sqrt{y} } [/tex]

Answer:

option 1

Step-by-step explanation:

[tex]\sqrt{y} =y^{\frac{1}{2}}\\\\(\frac{1}{\sqrt{y} })^{\frac{-1}{5}} =(\frac{1}{y^{\frac{1}{2}}})^{\frac{-1}{5}}\\\\= (y^{\frac{-1}{2}})^{\frac{-1}{5}}\\\\=y^{\frac{-1}{2}*\frac{-1}{5}}\\\\= y^{\frac{1}{10}}\\\\=\sqrt[10]{y}[/tex]

Answer:

Per mile Chau takes 5.8 minutes per mile.

Step-by-step explanation:

To find this answer you would have to do the amount of time divided by the amount of miles. Always remember when dividing time most of the time goes first unless the problem / instructions say differently. So, when you do 50 divided by 10 you will get 5.8. So, Chau takes 5.8 minutes per mile.

Answer:

x = 1.7

Step-by-step explanation:

Given

-½ + 5x = 8

Required

Find x

-½ + 5x = 8

Multiply both sides by 2

-1 + 10x = 16

Collect like terms

10x = 16 + 1

10x = 17

Divide both sides by 10

x = 1.7

Answer:

8, and 2

Step-by-step explanation:

(btw the three in the question is suppose to be a 2)

but those two are the only ones that you can add and the equation still equal 8.  

<3

Answer:

y = 9

Step-by-step explanation:

-2y + 6 = -12

       -6     -6

-2y = -18

divide both sides by -2

y = 9

Hope this Helps!!!

Answer: y = -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The answer is 36

Step-by-step explanation:

so the "sum" means to add all of the terms: 1^3+2^3+3^3

1^3 is simply 1

2^3 means 8

3^3 means 27

so, from there, you just add all of those terms: 1 + 8 + 27 = 36

Answer:

Step-by-step explanation:

  5

3  _

    18

Answer:

B 12.375 is the answer

Step-by-step explanation:

Key skills needed: Fraction to Decimal Conversion

1) The mixed number that is in the question is --> [tex]12\frac{3}{8}[/tex]

2) We need to find 12 and 3/8 as a decimal.

[tex]12\frac{3}{8}= 12 + \frac{3}{8}[/tex]

This means it would be 12."something"

We need to find out what [tex]\frac{3}{8}[/tex] as a decimal is.

3) To do this, we do 3 ÷ 8 (to find the decimal form of a fraction, you do the numerator divided by the denominator).

4) Check the image I posted to see how I did 3 ÷ 8.

5) Well based on the division, 3 divided by 8 is 0.375

This means that [tex]12 + \frac{3}{8} = 12 + 0.375 = 12.375[/tex]

Therefore 12.375 is your answer

Hope you understood and have a nice day!! :D

Answer:

m=-18

Step-by-step explanation:

6m=-108

m=-108/6

m=-18

Answer:

okay so the answer is -18

Answer:

6^22

Step-by-step explanation:

15-(-7) = 22

6^22

Answer:

1679616

Step-by-step explanation:

Answer: Can someone please help me on my most recent question?

Step-by-step explanation: Sorry man I dunno how to do this but I need help too