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seraphim [82]
3 years ago
11

Help I need this by tomorrow

Mathematics
2 answers:
vivado [14]3 years ago
8 0

Answer:

9- their sum is 90

10- every angle of a rectangle is a right angle.

when it is intersected into two angles their sum is 90

11-PKQ=NKM vertically opposite angles

alsoNKM+MKL=90

X+14+X=90 COMPLEMENTARY ANGLES

W

2X=76

X=38

PKQ=NKM=X+14=52

14- the sum of complementary angles is 90

vertically opposite angles are equal

Step-by-step explanation:

creativ13 [48]3 years ago
5 0

not very clear queation

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Step-by-step explanation:

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So if the die has six sides 1,2,3,4,5, and 6 then there are three even numbers in that number set. Three is half of 6 so you will have half the chance of rolling an even number

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2 years ago
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

5 0
3 years ago
Find the median, first quartile, third quartile, interquartile range, and any outliers for each set of data. 111, 68, 93, 88, 74
lilavasa [31]

Answer:

Q1 = 87 ;

Q2 = 102 ;

Q3 = 115 ;

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Step-by-step explanation:

Given the data:

111, 68, 93, 88, 74, 152, 119, 87, 88, 105, 84, 102, 151, 115, 112

Ordered data : 68, 74, 84, 87, 88, 88, 93, 102, 105, 111, 112, 115, 119, 151, 152

Sample size, n = 15

The first quartile, Q1 = 1/4(n+1)th term

Q1 = 1/4(15+1)th term

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The Median , Q2 = 1/2(n+1)th term

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Q2 = 1/2(16) = 8th term

Q2 = 102

The third quartile, Q3 = 3/4(n+1)th term

Q3 = 1/4(15+1)th term

Q3 = 3/4(16) = 12th term

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The interquartile range, IQR = Q3 - Q1

IQR = (115 - 87) = 28

Q1 = 87 ;

Q2 = 102 ;

Q3 = 115 ;

IQR = 28

OUTLIER = None

4 0
3 years ago
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