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Leona [35]
3 years ago
12

Solve for x 23=7/9(6z-36)+9

Mathematics
2 answers:
Law Incorporation [45]3 years ago
7 0

Answer:

z=9

Step-by-step explanation:

Multiply the 7/9 and get 4 2/3z - 28. then subtract 9

14= 4 2/3z-28

42 = 4 2/3z

42/4 2/3 = z

9=z

zzz [600]3 years ago
3 0

Answer: z=9

Step-by-step explanation:

If you meant to solve for "z", then refer to the attachment below.

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8 0
2 years ago
Mathematically verify the outlier(s) in the data set using the 1.5 rule.
statuscvo [17]

Given:

The data values are:

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

To find:

The outliers of the given data set.

Solution:

We have,

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

Divide the data set in two equal parts.

(7, 8, 11, 13, 14, 14), (14, 15, 16, 16, 18, 19)

Divide each parenthesis in two equal parts.

(7, 8, 11), (13, 14, 14), (14, 15, 16), (16, 18, 19)

Now,

Q_1=\dfrac{11+13}{2}

Q_1=\dfrac{24}{2}

Q_1=12

And

Q_3=\dfrac{16+16}{2}

Q_3=\dfrac{32}{2}

Q_3=16

The interquartile range is:

IQR=Q_3-Q_1

IQR=16-12

IQR=4

The data values lies outside the interval [Q_1-1.5IQR,Q_3+1.5IQR] are known as outliers.

[Q_1-1.5IQR,Q_3+1.5IQR]=[12-1.5(4),16+1.5(4)]

[Q_1-1.5IQR,Q_3+1.5IQR]=[12-6,16+6]

[Q_1-1.5IQR,Q_3+1.5IQR]=[6,22]

All the data values lie in the interval [6,22]. So, there are no outliers.

Hence, the correct option is 4.

3 0
3 years ago
I need help with this please asap
Alex

Step-by-step explanation:

We can prove that the triangles are congruent using the SAS method.

It's given that GH and JH are congruent (S)

Angle GHF and Angle IHJ are equal since they are vertically opposite (A)

It's given that FH and HI are congruent (S)

Thus, the triangles are congruent, which implies that the remaining sides are equal.

6 0
3 years ago
Find the volume of the figure.<br> 2.25 m<br> 4<br> m<br> 2.5 m<br> no
liberstina [14]

<u>Given</u>:

Given that the figure is a triangular prism.

The length of the prism is 4 m.

The base of the triangle is 2.5 m.

The height of the triangle is 2.25 m.

We need to determine the volume of the triangular prism.

<u>Volume of the triangular prism:</u>

The volume of the triangular prism can be determined using the formula,

V=\frac{1}{2}bhl

where b is the base of the triangle,

h is the height of the triangle and

l is the length of the prism.

Substituting b = 2.5, h = 2.25 and l = 4 in the above formula, we get;

V=\frac{1}{2}(2.5)(2.25)(4)

V=\frac{1}{2}(22.5)

V=11.25 \ m^3

Thus, the volume of the triangular prism is 11.25 m³

4 0
3 years ago
I’ve been trying sooo hard to get this and i can’t, please help
Greeley [361]

Should be 37 if you use Pythagorean theorem!

7 0
3 years ago
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