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Aneli [31]
2 years ago
13

In the figure, M and N are midpoints of RT and ST. What is the length of MN?

Mathematics
1 answer:
jok3333 [9.3K]2 years ago
3 0
Length RS = 2b - 2a

Given that N is the midpoint of TS
⇒  Ratio of TN : TS = 1 : 2

\dfrac{TN}{TS}  =  \dfrac{MN}{RS}

\dfrac{1}{2}  =  \dfrac{MN}{2b-2a}

2MN = 2b - 2a

MN = b - a

Answer: b - a



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Suppose you roll a six-sided 50 times and calculate the mean roll, x .
Vitek1552 [10]

Answer:

0.07

a. the distribution will be a normal distribution.

c. we would suspicious ins there is a 2 % chance of getting the required value.

Step-by-step explanation:

Let the number of times, t be = 50

Assuming that the die is fair

standard deviation = 1.71

mean = 3.5

suppose we want tp find the probability of a 2 showing. The solution becomes:

probability = \frac{2}{6}  = \frac{1}{3}

c. the  mean of rolls will be 0.07

8 0
2 years ago
Mr. Alvarez makes a walkway out of 3 cement slabs. He uses 14 cubic feet of cement to make the walk way. Each square slab has a
Natalija [7]

Answer:

The middle slab is 2 cubic feet.

Step-by-step explanation:

The problem presents the information: Mr. Alvarez makes a walkway out of 3 cement slabs.

However, he uses 14 Cubic feet of cement to make the walkway. Each square slab has a volume of 4 cubic feet.

Mr. Alvarez makes the way with 3 cement slabs (NC), each cement slab is 4 cubic feet (UC). It means, the cubic feet for the 3 cement slabs (CS) are:

CS = NC* UC = 3*4 = 12 cubic feet.

It means Mr. Alvarez uses 12 cubic feet with 3 cement slabs.

Mr. Alvarez used in total of 14 cubic feet of cement (TC). At this moment he used 12 cubic feet of cement (CS). It means, there will be a part of the cement slab used (PC).

PC = TC - CS = 14 - 12 = 2 Cubic feet.

Finally, the middle slab is 2 cubic feet of cement.

5 0
2 years ago
If Pam can install 12 insulators in 15 hours, how long does it take to install one insulator
Xelga [282]
The time it takes to install 1 insulator would be 1.25 hours
7 0
2 years ago
Read 2 more answers
A builder was building a fence. In the morning, he worked for 2/5 of an hour. In the afternoon, he worked for 9/10 of an hour. H
Bas_tet [7]

Hey there! I'm happy to help!

We want to see how many times bigger 2/5 is than 9/10. Let's call how much bigger 2/5 is b and solve below.

9/10b=2/5   (2/5 is b times larger than 9/10)

We divide both sides by 9/10, so your division would be 2/5÷9/10.

b=4/9

Therefore, the builder worked 4/9 times as long in the morning as he did in the afternoon.

Have a wonderful day! :D

4 0
2 years ago
Read 2 more answers
What is an equivalent fraction of 10/12
BARSIC [14]

Answer:

5/6

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

We can simplify this fraction down further by divide both numerator and denominator by 2:

10/2 = 5

12/2 = 6

5/6 will be equivalent to 10/12

6 0
1 year ago
Read 2 more answers
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