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BaLLatris [955]
3 years ago
10

You can jog around your block twice and the park once in 10 minutes. You can jog around your block twice and the park 3 times in

22 minutes.
a. Write a system of linear equations that represents this situation.

Let x represent the number of minutes it takes you to jog around your block and y represent the number of minutes it takes you to jog around the park.

What is the system of equations?
Mathematics
1 answer:
exis [7]3 years ago
4 0
2x + y = 10
2x + 3y = 22

Please consider marking this answer as Brainliest to help me advance, and let me know if you need any clarifications.
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A company makes windows for use in homes and commercial buildings. The standards for glass thickness call for the glass to avera
guajiro [1.7K]

The question is incomplete. The complete question follows.

A company makes windows for use in homes and commercial builidings. The standards for glass thickness call for the glass to average 0.325 inch with a standard deviation equal to 0.065 inch. Suppose a random sample of n=44 windows yield a sample mean of 0.337 inch. Complete parts a and b.

a. What is the probability of x ≥ 0.337 if the windows meet the standards?

b. Based on your answer to part a, what would you conclude about the population of windows? Is it meeting the standards? (A result is unusual if it has a probability less than 0.05)

Answer and Step-by-step explanation: To answer this question, use <u><em>Central Limit Theorem</em></u>: it states regardless of the original population distribution, if the sample size is large enough, the sample mean distribution will approach a normal distribution.

The calculations for the CLT is given by normalizing the distribution, i.e.:

z=\frac{x-\mu}{\sigma/\sqrt{n} }

where

z is z-score

x is the sample mean

μ is population mean

σ is standard deviation of the population

n is the number of individuals in the sample

Calculating z-score for the window maker company:

z=\frac{0.337-0.325}{0.065/\sqrt{44} }

z=\frac{0.012}{0.0098}

z = 1.22

Using the z-score table, we found the probability:

P = 0.8888

As it is a "more than situation":

P(x≥0.337) = 1 - 0.8888

P(x≥0.337) = 0.1112  or 11.12%

a. Probability of x≥0.337 if the windows meet the standards is 11.12%.

b. Comparing results, probability of x≥0.337 is bigger than 0.05:

0.1112 > 0.05

So, we can conclude that the random sample of n=44 is meeting the standards estipulated.

7 0
2 years ago
The circumference of a circle is 60 pi cm. What is the radius of the circle?​
Artyom0805 [142]

Answer:

30/pi cm

Step-by-step explanation:

2×pi×r =60

r = 60/2×pi =30/pi

4 0
3 years ago
Is the quotient of 3/5 ÷ 6/7 greater than or less than 3/5? Explain
Vikki [24]

The quotient of two fraction is the multiplication between the first and the inverse of the second:

\dfrac{a}{b} \div \dfrac{c}{d} = \dfrac{a}{b} \cdot \dfrac{d}{c}

So, in your case, you have

\dfrac{3}{5} \div \dfrac{6}{7} = \dfrac{3}{5} \cdot \dfrac{7}{6} = \dfrac{7}{10}

So, the question now is: which is larger, 7/10 or 3/5? To answer this question, transform the second fraction so that it will have denominator 10 as well:

\dfrac{3}{5} = \dfrac{3\cdot 2}{5 \cdot 2} = \dfrac{6}{10}

So, now it is clear that

\dfrac{7}{10} > \dfrac{6}{10}

3 0
3 years ago
Read 2 more answers
The ratio of the number of girls to the number of boys is 3:5 . if the number of boys os 12 more than the number of girls ,calcu
kvv77 [185]

Answer:

48 students in the class

Step-by-step explanation:

The ratio of girls to boys is 3 : 5 = 3x : 5x ( x is a multiplier ) , then

5x = 3x + 12 ( 12 more boys than girls )

Subtract 3x from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Then

number of girls = 3x = 3 × 6 = 18

number of boys = 5x = 5 × 6 = 30

total students in class = 18 + 30 = 48

7 0
2 years ago
The solution to x^2-10x=24 is?
statuscvo [17]
X^2-10x-24=0
(x+2)(x-12)=0
x=-2 or x=12
4 0
3 years ago
Read 2 more answers
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