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2 years ago

It takes 5 cooks 5 hours to bake 5 pies. Assuming no change of rate, how many

Mathematics

1 answer:

TEA [102]2 years ago

4 0

Answer: It would take 10 cooks 10 hours to bake 10 pies.

Step-by-step explanation:

Each cook takes an hour to cook a pie, therefore:

It would take 10 cooks 10 hours to bake 10 pies.

I hope this helps!

You might be interested in

This symbol > means that one number is _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ or equal to another number.

stellarik [79]

Answer:

gratr

Step-by-step explanation:

4 0

3 years ago

College students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. If the amount of sleep is normall

Soloha48 [4]

Answer:

4.27%

Step-by-step explanation:

We have been given that college students average 8.6 hours of sleep per night with a standard deviation of 35 minutes. We are asked to find the probability of college students that sleep for more than 9.6 hours.

We will use z-score formula to solve our given problem.

$z=\frac{x-\mu}{\sigma}$

z = z-score,

x = Random sample score,

$\mu$ = Mean,

$\sigma$ = Standard deviation.

Before substituting our given values in z-score formula, we need to convert 35 minutes to hours.

$35\text{ min}=0.58\text{ Hour}$

$z=\frac{9.6-8.6}{0.58}$

$z=\frac{1}{0.58}$

$z=1.72$

Now, we need to find $P(z>1.72)$ .

Using formula $P(z>a)=1-P(z$ , we will get:

$P(z>1.72)=1-P(z$

Using normal distribution table, we will get:

$P(z>1.72)=1-0.95728$

$P(z>1.72)=0.04272$

$0.04272\times 100\%=4.272\%$

Therefore, 4.27% of college students sleep for more than 9.6 hours.

7 0

3 years ago

If the product of two number is 10 and the sum is 7 ,then the longest of the two number is

irinina [24]

Answer:

5 units

Step-by-step explanation:

Step one:

Given data

Le the first number be x

and the second number be y

x*y= 10-----------------1

and

x+y= 7-----------------2

from eqn 1

x= 10/y

put x= 10/y in eqn 2

$10/y+y= 7\\\\10/y= 7-y$

cross multiply we have

$10=y(7-y)\\\\10=7y-y^2$

rearrange

$y^2-7y+10=0$

the factors of the quadratic expression are

-5 and -2

$y^2-5y-2y+10= 0\\\\y(y-5)-2(y-5) =0\\\\y-2=0\\\\y= 2\\\\y-5= 0\\\\y=5\\\\$

The longest side is 5 units

3 0

2 years ago

Question 2 (5 points)

Anuta_ua [19.1K]

Answer:

The greatest common factor is 8xyz

Step-by-step explanation:

To find the greatest common factor of an expression involving numbers and variables, we find each greatest common factor separately.

Numbers:

48, 24 and 56.

We find the greatest common factor factoring them simultaneously while all can be factored by the same number. The GCF is the multiplication of the factors. So

48 - 24 - 56|2

24 - 12 - 28|2

12 - 6 - 14|2

6 - 3 - 7|

They cant be factored by the same factors anymore, so the numeric GCF is 8.

Variables:

For each variable, the GCF will be the lowest exponent.

Variable x: We have exponents 1, 2 and 2. So the GCF is $x^1 = x$

Variable y: We have exponents 3, 3 and 1. So the GCF is $y^1 = y$

Variable z: We have exponents 1, 1 and 1. So the GCF is $z^1 = z$

The greatest common factor is:

$8*x*y*z = 8xyz$

4 0

2 years ago

Please help with this question

belka [17]

Answer:

18.4%

Step-by-step explanation:

The formula for rel. freq. is:

Relative Frequency = Class Frequency/n

Where

Class Frequency will be the number of students in the class we are interested in (in 35-38, the number of students is 9)

n is the total number of students [which is 6+7+8+9+10+9= 49]

Putting into formula we get:

Relative Frequency = 9/49 = 0.1837

To get percentage, we need to multiply by 100:

0.1837 * 100 = 18.37%

Rounded to 1 decimal place, that is 18.4%

5 0

3 years ago