MATHEMATICS MIDDLE SCHOOL

a museum employee surveys a random sample of 350 visitors to the museum. Of those visitors, 266 stopped at the gift shop. Based on these results , about how many people out of the 2300 visitors would be expected to stop at the gift shop?

Answers

Answer 1

Answer:

1748 people are expected to stop at the gift shop out of 2300.

Step-by-step explanation:

Given,

Number of random sampled people = 350

Number of people who stopped at shop = 266

Percentage = $(People\ stopped)/(Total\ people)*100$

Percentage = $(266)/(350)*100=76\%$

Therefore,

76% people would stop at the gift stop.

Number of people = 2300

Expected number = 76% of total

Expected number = $(76)/(100)*2300$

Expected number = 1748

1748 people are expected to stop at the gift shop out of 2300.

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Two students share 3 granola bars equally. How many granola bars does each student get?

Answers

Answer:

Hence, number of granola bars each get:

1.5 bars

Step-by-step explanation:

It is given that:

Two students share 3 granola bars equally.

This means that 3 bars is to be distributed among 2 students.

Number of students=2.

Number of bars=3.

Hence,

$Number\ of\ quantity\ each\ get=(Number\ of\ granola\ bars)/(Number\ of\ students)$

Hence,

$Number\ of\ quantity\ each\ get=(3)/(2)=1.5$

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What the precents and decimals of these fraction 5/8. 66/200. 5 2/5. 2 7/16. has to be simplyed

Answers

to find the percent, divide the top number by the bottom. ex:
1/2 equals 1 divided by 2.
when you put this in a calculator, it will say .5 , this means it is 50% ( you move the decimal over 2 to the right)

Help!!!!!! Eeeeek
Ty

Answers

Answer:

least is 3/4x4/9 7/7x4/9 1 2/3x 4/9 greatest is 2x4/9

The mean of seven numbers is 21. Five of the numbers are 18, 23, 21, 17, and 19. One of the remaining numbers is 3/4 of the other remaining number. Find the two unknown numbers.

Answers

mean of a set of numbers is
(sum of the values of the numbers in the set)/(how many numbers in the set)=mean
example
1,2,4
mean is
(1+2+4)/3=7/3

ok

mean of 7 numbers is 21
(7numbers)/7=21

"5 of them are 18,23,21,17"
(mentally do 7-5=2)
2 missing
"one of the remaining is 3/4 of other"
the 2 remaining is x and 3/4x

nmow we have
(18+23+21+17+19+x+3/4x)/7=21
add like terms
(98+1 and 3/4x)/7=21
mulitply everybody by 7
98+7/4x=147
minus 98 both sides
7/4x=49
multiply both sides by 4/7 to clear fraction (7/4 times 4/7=28/28=1, so 1x=x)

1x=196/7
x=28
the other number is 3/4 of this
3/4x=3/4*28=21

the 2 unknowns are 28 arnd 21

16 you are so welcom

August hosted two dinner parties for his friends. Twenty guests attended the first party, and twenty-six guests attended the second party. What is the percentage increase of the number of guests from the first party to the second party?

Answers

Answer: 30%

Step-by-step explanation:

The first step is to find the increase in numbers

26-20= 6

Now you find the percent. This means you're looking for the percent 6 is equal to when compared to 20. The easiest way is to divide the increase by the original number

6/20= 0.3

To convert that to percent, multiply it by 100

0.3 * 100= 30%

There was a 30% increase.

Solve for x algebraically; (2/3x)+(4/x)=(7/(x+1))

Answers

$(2)/(3x) + (4)/(x) = (7)/(x+1) \n \nx\neq 0 \ \ and \ \x+1\neq 0 \n \nx\neq 0 \ \ and \ \x \neq -1$

$(2 )/(3x)+(4)/(x) = (7)/(x+1) \n\n\ (2+12)/(3x) = (7)/(x+1) \n \n(14)/(3x) = (7)/(x+1)\n \n14(x+1)=3x\cdot 7$

$14 x+14=21x \n \n14=21x-14x \n \n 7x=14 \ \ /: 7 \n \nx=2$

$(2)/(3x) + (4)/(x) = (7)/(x+1)$

$(2)/(3x) + (12)/(3x) = (7)/(x+1)$

$(14)/(3x) = (7)/(x+1)$

$Cross\ multiply :$

$14(x+1) = 7 * 3x$

$14x+14 = 21x$

$14x-21x =-14$

$-7x =-14$

$x = (-14)/(-7)$

$\boxed{x=2}$

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