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3 years ago

Construct a box plot for the data given.43 46 49 51 5252 58 55 65 6667 66 66 67 6769 71 73 75 7977 83 85 86 87

Mathematics

1 answer:

padilas [110]3 years ago

8 0

Answer:

Kindly check attached picture for box plot

Step-by-step explanation:

Given the data :

43 46 49 51 52 52 58 55 65 66 67 66 66 67 67 69 71 73 75 79 77 83 85 86 87

Using the software to create a box plot, the box plot five number summary is a given below ;

Sample size: 25

Median: 67

Minimum: 43

Maximum: 87

First quartile: 53.5

Third quartile: 76

Interquartile Range: 22.5

With no outliers.

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What will be angle COD If: angle COD minus angle KOD equals 61degrees and angle COD minus angle KOC equals 53degrees?

kenny6666 [7]

Use algebra for such problems
let, Angle COD = x
Angle KOD = y
Angle KPC = z
Given ,. x - y = 61° ( Equation 1 )
x - z = 53° ( Equation 2 )
Subtract 1st equation from 2nd and you'll get :

z - y = 8° ( Equation 3 )
Now since , x + y + z = 180° ( Equation 4 )
Add Equation 3 to Equation 4 and you'll get
x + 2z = 188° ( Equation 5)
From Equation 2 we know that , x -z = 53°
or, x = 53° + z ( Equation 6 )
Put this value of 'x' in Equation 5 and solve for z. you'll get :
(53° + z) + 2z = 188°
or
3z = 188 - 53 = 135°
solving for z we get
z = 45°
put this value of z in Equation 5
x + ( 2 x 45° ) = 188°
or
x = 188° - 90° = 98°
hence , Angle COD = 98°

5 0

3 years ago

Simplify the following expression. -14x^2+9x-4x^2+5

Naya [18.7K]

Answer:

i think the answer is -18x^(2)+9x+5

-18x^(2)+9x+5

Subtract 4x^2 from −14x^2

3 0

3 years ago

I need help with this someone very smart at math this algebra 2

Mrac [35]

Answer:

value if a =

$\frac{5}{4}$

Step-by-step explanation:

here's the solution :-

=》

$\frac{ 2(\sqrt{m}) {}^{3} }{ \sqrt[4]{m} }$

=》

$\frac{2(m {}^{ \frac{1}{2}} ) {}^{3} }{ {m}^{ \frac{1}{4} } }$

=》

$\frac{2 {m}^{ \frac{3}{2} }} { {m}^{ \frac{1}{4} } }$

=》

$2m {}^{ \frac{3}{2} - \frac{1}{4} }$

=》

$2m {}^{ \frac{6 - 1}{4} }$

=》

$2m {}^{ \frac{5}{4} }$

so, a = 5/4

6 0

3 years ago

Because of variability in the manufacturing process, the actual yielding point of a sample of mild steel subjected to increasing

photoshop1234 [79]

Answer:

P-value ≈ 0.3463

Step-by-step explanation:

Hypothesis test would be

$H_{0}$ :p=0.20

$H_{a}$ :p>0.20

We need to calculate the z-score of sample proportion and then the corresponding P-value.

z-score can be calculated as:

z= $\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } }$ where

p(s) is the sample proportion of specimens yield before the theoretical point ( $\frac{9}{40}=0.225$ )

p is the proportion assumed under null hypothesis. (0.20)

N is the sample size (40)

Using the numbers

z= $\frac{0.225-0.2}{\sqrt{\frac{0.2*0.8}{40} } }$ =0.3953

and the P-value is then P(z)≈0.3463

4 0

3 years ago

What is the measure of angle Q to the nearest whole degree? 43° 49° 53° 58°

geniusboy [140]

Answer:

m∠Q ≈ 53°

Step-by-step explanation:

To find the measure of ∠Q, the law of cosines will need to be used. Lowercase letters represent the side lengths, while upper case letters represent angles.

In this situation, 'A' will be ∠Q. Therefore:

17² = 18² + 20² -2(18)(20)cosQ

Simplify:

289 = 324 + 400 -2(360)cosQ

Continue simplifying down:

-435 = -720cosQ

Divide both sides by '-720':

0.604 = cosQ

$cos^{-1}Q = 0.604$

m∠Q ≈ 52.83 or 53° rounded to the nearest whole degree.

3 0

3 years ago