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3 years ago

Assignment 01.11 Estimating

Mathematics

1 answer:

ludmilkaskok [199]3 years ago

8 0

Answer:

Q1. 168 words from sixth sentence.

Q2. 171 words from line 3.

Q3. 177 words from the first three sentences.

Q4. Method 3.

Step-by-step explanation:

Question 1.

The paragraph has seven sentences.

I chose the sixth sentence ("gentle vegetarian"). It contains 24 words.

7 sentences × (24 words/1 sentence) = 168 words

Question 2.

The passage contains 19 lines.

I chose line 3 ("amazing powers"). It contains nine words.

19 lines × (9 words/1 line) = 171 words.

Question 3.

I chose the first three lines. They contain 28 words.

Words per line = 28 words/3 lines = 9.33 words per line

Total words = 19 lines × (9.33 words/1 line) = 177 words

Question 4

The passage contains 176 words. Method 3 comes closest to the actual number of words.

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Deep mixing is a ground improvement method developed for soft soils like clay, silt, and peat. Civil engineers investigated the

Kitty [74]

Answer:

a) 0.9078

b) 0.9832

c) T = 2.9867

Step-by-step explanation:

Given:-

T ~ N (2.7 , 0.8 )

Find:

Find the probability that the tip resistance will fall between 1.3 and 4.0 MPa.

Find the probability that the tip resistance will exceed 1.0 MPa.

Find a value of tip resistance, T, such that 36% of all soil samples have tip resistance values that exceed T

Solution:

a) To find the P ( 1.3 < x < 4.0 ) we will first compute the z-score values:

P (1.3 < x < 4.0 ) = P ( (1.3 - 2.7)/0.8 < Z < (4.0 - 2.7)/0.8)

P (1.3 < x < 4.0 ) = P ( -1.75 < Z < 1.625)

- Using the Z-table values we can evaluate the probability:

P (1.3 < x < 4.0 ) = P ( -1.75 < Z < 1.625) = 0.9078

b) To find the P ( x > 1 ) we will first compute the z-score values:

P ( x > 1.0 ) = P ( Z > (1.0 - 2.7)/0.8)

P ( x > 1.0 ) = P ( Z > -2.125)

- Using the Z-table values we can evaluate the probability:

P ( x > 1.0 ) = P ( Z > -2.125) = 0.9832

c) To find the P ( x > T ) we will first compute the z-score values:

P ( x > T ) = P ( Z > (T - 2.7)/0.8) = 0.36

- We will search for the z value with the condition above from Z-table.

P ( Z > (T - 2.7)/0.8) = 0.36, Z = 0.358375

- Hence, we calculate for T:

T = 0.358375*0.8 + 2.7

T = 2.9867

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3 years ago

How many gallons of a 80% antifreeze solution must be mixed with 100 gallons of 20% antifreeze to get a mixture that is 70% a

Blababa [14]

To Find :

How many gallons of a 80% antifreeze solution must be mixed with 100 gallons of 20% antifreeze to get a mixture that is 70% antifreeze.

Solution :

Let, x gallons of 80% antifreeze solution is required :

So,

$(x \times 80) + ( 100 \times 20 ) = (x + 100 )\times 70\\\\8x + 200 = 7( x + 100)\\\\x = 500$

Therefore, 500 gallons of 80% antifreeze solution is required.

6 0

3 years ago

A rectangular prism has the measurements length=5, width=10,height=3. What is the volume?

algol [13]

Answer:

150

Step-by-step explanation:

the equation for this is l x w x h

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3 years ago

Triangle RST has vertices located at R (2, 3), S (4, 4), and T (5, 0).

LiRa [457]

The length of the sides are 2.24, 4.24 and 4.12 units while the slope are 0.5, -1 and -4.

<h3>Linear equation</h3>

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

For RS:

$Length = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(4-3)^2+(4-2)^2}=2.24 \\
\\
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For RT:

$Length = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(0-3)^2+(5-2)^2}=4.24 \\
\\
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For ST:

$Length = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(0-4)^2+(5-4)^2}=4.12 \\
\\
slope=\frac{y_2-y_1}{x_2-x_1} =\frac{0-4}{5-4}=-4$

The length of the sides are 2.24, 4.24 and 4.12 units while the slope are 0.5, -1 and -4.

Find out more on linear equation at: brainly.com/question/14323743

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3 years ago

Read 2 more answers