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LuckyWell [14K]
3 years ago
14

A local hamburger shop sold a combined total of 695 hamburgers and cheeseburgers on Sunday. There were 55 fewer cheeseburgers so

ld than hamburgers
Mathematics
1 answer:
VLD [36.1K]3 years ago
5 0

Answer:

<u>375 </u>hamburgers were sold on Sunday.

Step-by-step explanation:

<u>This question is incomplete, so the complete question is below:</u>

A local hamburger shop sold a combined total of 695 hamburgers and cheeseburgers on Sunday. There were 55 fewer cheeseburgers sold than hamburgers.<u> How many hamburgers were sold on Sunday?</u>

Now, to find the number of hamburgers were sold on Sunday.

Let the number of hamburgers be  x.

As, given there were 55 fewer cheeseburgers sold than hamburgers.

So, the number of cheeseburgers is  x-55.

Total combined hamburgers and cheeseburgers sold on Sunday = 695.

So, to get the number of hamburgers sold on Sunday we set an equation:

<u><em>According to question:</em></u>

x+(x-55)=695

x+x-55=695

2x-55=695

<em>Adding both sides by 55 we get:</em>

2x=750

<em>Dividing both sides by 2 we get:</em>

x=375.

The number of hamburgers sold = 375.

Therefore, 375 hamburgers were sold on Sunday.

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Answer:

The degree is 7 and the leading coefficient is -21.

Step-by-step explanation:

The degree of an equation is found using the highest exponent on the variable in the equation.

-12-8x^2+5x-21x^7 has the term x^7 so its degree is 7

The leading coefficient is the coefficient of the term with the highest degree. The coefficient of x^7 is -21.

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Question Help Scores of an IQ test have a​ bell-shaped distribution with a mean of 100100 and a standard deviation of 1010. Use
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Answer:

a) 95% percentage of people has an IQ score between 80 and 120.

b) 68% percentage of people has an IQ score between 90 and 110.    

c) 2.5% percentage of people has an IQ score greater than 120.          

Step-by-step explanation:

The empirical formula states that:

  • The empirical rule is known as the three-sigma rule or 68-95-99.7 rule.
  • It is a rule which states that for a normal distribution, almost all data falls within three standard deviations of the mean.
  • 68% of data falls within the first standard deviation that is \mu \pm \sigma
  • 95% of data falls within the second standard deviation that is \mu \pm 2\sigma
  • 99.7% of data falls within the third standard deviation that is \mu \pm 3\sigma

a)  percentage of people has an IQ score between 80 and 120

(80, 120) can be written as:

(80, 120) = (100-2(10), 100 + 2(10))\\= (\mu \pm 2\sigma)

Thus, it is the interval within two standard deviation from the mean.

Thus, by empirical formula, 95% percentage of people has an IQ score between 80 and 120.

b) percentage of people has an IQ score between 90 and 110

(90, 110) can be written as:

(90, 110) = (100-1(10), 100 + 1(10))\\= (\mu \pm 1\sigma)

Thus, it is the interval within one standard deviation from the mean.

Thus, by empirical formula, 68% percentage of people has an IQ score between 90 and 110.

c) P(score greater than 120)

= 1 - percentage of score less than 80 - percentage of score between 80 and 120

= 1 - (95\% + 2.5\%) = 2.5\%

From empirical formula,

2.5% percentage of people has an IQ score greater than 120.

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A = P(1 + r/n)nt

A = 77,000.00(1 + 0.046/1)(1)(12)

A = $ 132,090.30

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