MATHEMATICS HIGH SCHOOL

In a survey at a local university 35%, of students say that they get less than the recommended eight hours of sleep per night. In a group of 2000 students, how many would you expect get eight or more hours of sleep per night?

Answers

Answer 1

Answer:

Answer:

1,500 students

Step-by-step explanation:

Since in the question it is mentioned that 35% of students get less than 8 hours of sleep

And, there is a group of 2,000 students

Now the number of students who get eight or more hours per night sleep is

Suppose the total percentage be 100

Now the students more than 8 hours is

= 100 - 35%

= 0.75

And, the total students is 2,000 students

So, the number of students who get eight or more hours is

= 2,000 students × 0.75

= 1,500 students

The same is to be considered

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Simplify 4 to the seventh power over 5 squared all raised to the third power.

Answers

The expression (4^7/5^2)^3 can be simplify as 4^21/5^6 and it is equal to 281,4774,976.70. This is computed using the rule of simplifying exponential terms. It states that when an exponential term is raised to another power the powers must be multiplied.

A local store is advertising a shirt on sale for 40% off the original price. The sale price is $21.00. What was the original price for the shirt?

Answers

Answer:

$35

Step-by-step explanation:

If $21 is 60% of the original price, then the original price is ...

21 = 0.60p

21/0.60 = p = 35

The original price is $35.00.

Answer:

$35

Step-by-step explanation:

If $21 is 60% of the original price, then the original price is ...

21 = 0.60p

21/0.60 = p = 35

The original price is $35.00. , hope it helps i answered last time but was deleted

A hot dog vendor has determined that the number of hot dogs he sells per day is inversely proportional to the price he charges. The vendor wants to decide if increasing his price by 55 cents will drive away too many customers. On average, he sells 200 hot dogs a day at a price of $3.85 per hot dog. How many hot dogs can he expect to sell if the price is increased by 55 cents? Round your answer to the nearest hot dog.

Answers

Answer:

175 hot dogs

Step-by-step explanation:

The new price will be $3.85 + 0.55 = $4.40. Since the price has increased by a factor of 4.40/3.85 = 8/7, the number of hot dogs sold, which is inversely proportional, will be ...

(7/8)·200 = 175 . . . hot dogs sold at the higher price

Final answer:

The vendor can expect to sell approximately 233 hot dogs if the price is increased by 55 cents.

Explanation:

To determine how many hot dogs the vendor can expect to sell if the price is increased by 55 cents, we can use the inverse proportionality relationship between the number of hot dogs sold and the price charged.

First, let's set up a proportion with the initial price and number of hot dogs sold:

$3.85 / 200 = (new price + $0.55) / x

Next, we can cross multiply and solve for x:

x = (200 * ($3.85 + $0.55)) / $3.85

Calculating this expression gives us a value of x ≈ 233.77.

Since the number of hot dogs sold must be a whole number, we round down to the nearest whole number, giving us an estimated value of 233 hot dogs.

Learn more about Hot dog vendor here:

brainly.com/question/14805583

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If x^5y^4z^2 <0 , which of the following must be true?I xy <0
II yz <0
III xz <0

Answers

$x^5y^4z^2 < 0\n\ny^4\geq0\ for\ y\in\mathbb{R}\n\nz^2\geq0\ for\ y\in\mathbb{R}\n\nx^5 > 0\ for\ y\in\mathbb{R^+}\ and\ x^5 < 0\ for\ x\in\mathbb{R^-}\n\n------------------------------\n\nx^5\underbrace{y^4z^2}_(> 0) < 0\iff x^5 < 0\Rightarrow xy < 0\ \wedge\ xz < 0\n\n------------------------------\n\nAnswer:I\ xy < 0\ and\ III\ xz < 0.$

Find the product. (n + 7)2

Answers

(n+7)2
= (n)(2) + (7)(2)
=2n+14

(n+7)(2) =(n+7)(2) =(n)(2)+(7)(2) =2n+14

253, 248 ,243 find the 49th term

Answers

Answer:

Step-by-step explanation:

253 , 248 243 238 233 228 223 218 213 208 203 198 193 188 183 178 173 168 163 158 153 148 143 138 133 128 123 118 113 108 103 98 93 88 83 78 73 68 63 58 53 48 43 38 33 28 23 18 13 i

ts 13 i think
i just counted down ^^

To find the 49th term of the sequence 253, 248, 243, ... , we notice that the sequence is decreasing by 5 each time. This is an arithmetic sequence with a common difference of -5.

We use the formula for the nth term of an arithmetic sequence, which is:
nth term = first term + (n - 1) * common difference

Here, the first term is 253, the common difference is -5, and we're looking for the 49th term.

Plug these into the formula:
49th term = 253 + (49 - 1) * -5
49th term = 253 + 48 * -5
49th term = 253 - 240
49th term = 13

So, the 49th term of the sequence is 13.

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