7. Write >,<, or = in the circle to make

Which expression is equal to 4/8

givi [52]

<h2>Fractions</h2>

Which expression is equal to $\large\tt \frac{4}{8}$ ?

Option 1

$\large \tt 4 \times \frac{1}{2} = \frac{4}{1} \times \frac{1}{2} = \red{\frac{4}{2}}$

Option 1 is not equal to $\large\tt \frac{4}{8}$

$\huge{\overline{\qquad\qquad\qquad\qquad \: \: \: }}$

Option 2

$\large \tt 3 \times \frac{1}{5} = \frac{3}{1} \times \frac{1}{5} = \red{\frac{3}{5}}$

Option 2 is not equal to $\large\tt \frac{4}{8}$

$\huge{\overline{\qquad\qquad\qquad\qquad \: \: \: }}$

Option 3

$\large \tt 3 \times \frac{1}{8} = \frac{3}{1} \times \frac{1}{8} = \red{\frac{3}{8}}$

Option 3 is not equal to $\large\tt \frac{4}{8}$

$\huge{\overline{\qquad\qquad\qquad\qquad \: \: \: }}$

Option 4

$\large \tt 4 \times \frac{1}{8} = \frac{4}{1} \times \frac{1}{8} = \green{\frac{4}{8}}$

Therefore, option 4 is equal to $\large\tt \frac{4}{8}$

$\huge{\overline{\qquad\qquad\qquad\qquad \: \: \: }}$

<h3>#CarryOnLearning</h3>

7 0

3 years ago

Two college roommates have each committed to donating to charity each week for the next year. The roommates’ weekly incomes are

schepotkina [342]

Answer:

C. 5 weeks.

Step-by-step explanation:

In this question we have a random variable that is equal to the sum of two normal-distributed random variables.

If we have two random variables X and Y, both normally distributed, the sum will have this properties:

$S=X+Y\\\\\ \mu_S=\mu_X+\mu_Y=30+60=90\\\\\sigma_S=\sqrt{\sigma_X^2+\sigma_Y^2}=\sqrt{10^2+20^2}=\sqrt{100+400}=\sqrt{500}=22.36$

To calculate the expected weeks that the donation exceeds $120, first we can calculate the probability of S>120:

$z=\frac{S-\mu_S}{\sigma_S} =\frac{120-90}{22.36}=\frac{30}{22.36}=1.34\\\\P(S>120)=P(z>1.34)=0.09012$

The expected weeks can be calculated as the product of the number of weeks in the year (52) and this probability:

$E=\#weeks*P(S>120)=52*0.09012=4.68$

The nearest answer is C. 5 weeks.

6 0

3 years ago

Samantha gathered the following information on a given day at the dog park.

Luda [366]

The number of dogs that are not puppies is 17, the number of adult dogs without long hair is 6, the number of puppy dogs with long hair is 8 and the number of puppy dogs without long hair is 7.

<h3>What is the information missing?</h3>

To complete the chart it is necessary to determine:

Number of dogs that are not puppies.
Number of puppies with and without long hair
Number of adult dogs without long hair

Number of dogs that are not puppies:

32 (total dogs) - 15 (puppies) = 17 dogs

Adult dogs without long hair:

17 (total adult dogs) - 11 (adult dogs with long hair) = 6 dogs

Puppy dogs with and without long hair

Total of puppy dogs = 15, this number can be obtained by adding 9+6 or 7+8. From these combinations, the only one that meets the rule "There are 6 more dogs that have long hair than dogs that do not have long hair" is 8 puppies with long hair and 7 puppies without long hair.

Note: This question is not written correctly; here is the correct and complete question.

Samantha gathered the following information on a given day at the dog park.

There are 32 dogs playing at the dog park.

15 of the dogs are puppies.

11 of the dogs are not puppies and have long hair.

There are 6 more dogs that have long hair than dogs that do not have long hair.

Fill in the table completely to represent Samantha’s data.

Learn more about dogs in: brainly.com/question/8565422

6 0

3 years ago

Solve the absolute value equation or indicate that the equation has no solution. |x-5|=4

Lelu [443]

Step-by-step explanation:

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3 0

2 years ago

PLEASE HELP ASAP

Volgvan

The length of each side of the polygon is the number of units on each side of the polygon, and the perimeter of the factory is 1000 feet

<h3>The length of each side of the polygon?</h3>

To do this, we simply calculate the number of units on each side of the polygon.

So, we have:

S1 = 5 units

S2 = 8 units

N1 = 13 units

E1 = 7 units

W1 = 3 units

W2 = 4 units

<h3>The perimeter of the polygon</h3>

This is the sum of the side lengths.

So, we have:

Perimeter = 5 + 8 + 13 + 7 + 3 + 4

Perimeter = 40

Each unit equals 25 feet.

So, we have:

Perimeter = 40 * 25 feet

Evaluate

Perimeter = 1000 feet

Hence, the perimeter of the factor is 1000 feet