What is the LCD of thw fractions 1/3 and 11/15?

Answers

Answer 1
Answer: Least common denominator of those two fractions is 15

Because 15 cant go any less

3 × 1 = 3                  15 × 1 = 15
3 × 2 = 6
3 × 3 = 9 
3 × 4 = 12
3 × 5 = 15

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Betty's bite-size candies are packaged in bags. The number of candies per bag is normally distributed, with a mean of 50 candies and a standard deviation of 3. At a quality control checkpoint, a sample of bags is checked, and 4 bags contain fewer than 47 candies. How many bags were probably taken as samples?

Answers

47 = 50 - 3   or:
47 = Mean - 1 Standard deviation
For normal distribution it means that 4 bags represent 16 % of all samples.
4 bags  ------ 16%
x bags  ------ 100 %
---------------------------
4 * 100 = x * 16
16 x = 400
x = 400 : 16
x = 25
Answer: 25 bags were probably taken as samples.

The number of bags that are probably taken as samples is = 25 bags.

What is normal distribution?

A normal distribution usually appears like a bell shape in a graph whereby the mean is centrally placed.

In the normal distribution of candies per bag;

The standard deviation =3

The mean = 50

Therefore candies per bag = 47 - 53

Using the empirical method, the percentage to the right of the line of normal distribution can be calculated as:

50 + 64/2 = 84%.

That means that 100 - 84 = 16% of the data is below 4.

If 16% = 4

100% =X

Make X the subject of formula,

X = 100× 4/16

X = 400/16

X= 25 bags.

Therefore, the number of bags that are probably taken as samples is = 25 bags.

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The sum of three numbers is 2100. The first number (x) is equal to the sum of the other two (y and z) which are equal to each other. What are the three numbers (x, y, and z)? A) (1050, 525, 525) B) (1050, 524, 525) C) (1050, 526, 523) D) (1051, 525, 524)

Answers

Answer:

Let's solve the problem step-by-step:

We are given that the sum of three numbers is 2100. Let's call the first number x and the other two numbers y and z.

From the information given, we know that x = y + z, and y = z (the other two numbers are equal to each other).

Substituting y = z into x = y + z, we have x = 2z.

We are also given that the sum of the three numbers is 2100. So, we can write the equation x + y + z = 2100.

Substituting x = 2z and y = z, we have 2z + z + z = 2100.

Simplifying the equation, we have 4z = 2100.

Dividing both sides of the equation by 4, we find z = 525.

Substituting z = 525 back into y = z, we find y = 525.

Finally, substituting z = 525 and y = 525 back into x = 2z, we find x = 1050.

Therefore, the three numbers are x = 1050, y = 525, and z = 525.

Among the options provided, the correct answer is A) (1050, 525, 525).

What is the product?4 cubed times 4 Superscript negative 3
0
1
4
6

Answers

Answer:

4³ × 4 ^-3

Use the rules of indices

You will get

4^3-3

= 4^0

= 1

Hope this helps

Answer:

The answer is 1, the second option.

Step-by-step explanation:

Took the test, hope this helps!

$970 at 4 1/4% simple interest for 2 years

Answers

For simple interest 
i=prn
where i= interest p=amount invested, r=rate n=time period
i= 970*4 and 1/4 * 2
i= $8245

25d-16=4d+26
whats d?

Answers

Like terms are when the variable you have are the same. In this case it is x. Therefore, when you have like terms, you should add, or subtract your like terms.

(note: When you move one thing to the other side of the equation, make sure to do the opposite of the sign. i.e. if it is +26 when you move to the other side it will be -26).

25d-16=4d+26
25d-16+16=4d+26+16
25d=4d+26+16
25d-4d=4d-4d+26+16
25d-4d=26+16
21d=42
this is the same as:
21*d=42
the opposite of multiply is divide so when we move the 21 it has to be divide
21/21*d=42/21
d=2
For this question you should first add -4d on both sides of the equation and then add +16 on both sides:
25d - 4d = 26+16 
21d = 42 
d = 42/21 
d = 2 :)))
I hope this is helpful
have a nice day

amanda drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 7 hours. when amanda drove home, there was no traffic and the trip only took 5 hours. if her average rate was 18 miles per hour faster on the trip home, how far away does amanda live from the mountains?

Answers

The distance between the mountains and her residence is 315 miles.

What is speed?

Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance traveled by time. The unit of speed in miles per hour.

Given that Amanda drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 7 hours. when Amanda drove home, there was no traffic and the trip only took 5 hours. if her average rate was 18 miles per hour faster on the trip home.

The distance will be calculated  as,

Distance = S x 7

The other distance is,

Distance = 5 ( S + 18 )

7S = 5S + 90

S = 45 miles

Distance = 45 x 7

Distance = 315 miles

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90 miles away since you multiply 18 times 5 would equal 90 miles away.