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3 years ago

Can some one please help me with these five questions

Mathematics

1 answer:

valina [46]3 years ago

8 0

Answer:

1)PT = 21 units

2)Option D

3)Option A

4)∠EFG = 2(24) +15 = 63 degrees

∠GFH= 4(24) +21 = 117 degrees

5) circumference = 21.98 cm

Step-by-step explanation:

1) As the T is midpoint, PT is equal to TQ in magnitude.

Thus, $4x+1=6x-9$

$2x = 10$

x=5.

Thus, PT = 4(5) + 1 = 21

2) The planes XTS and VRS intersect in the line SW, and the intersection is perpendicular.

3)For a line to be defined, it must have 2 points, start and end.

The option A) is not defined properly, so incorrect

4)As the angles are linear pair, their sum is 180 degrees.

Thus, $2n+15+4n+21 = 180$

$6n = 144$

n = $\frac{144}{6} = 24$

∠EFG = 2(24) +15 = 63 degrees

∠GFH= 4(24) +21 = 117 degrees

5) diameter = 7 cm

radius = 3.5 cm

circumference = $2\pi R = 2\pi (3.5) = 2(3.14)(3.5) = 21.98 cm$

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Answer:

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Step-by-step explanation:

Perimeter of triangle = a + b + c

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2 years ago

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3 years ago

Which score indicates the highest relative position? I. A score of 2.6 on a test with X = 5.0 and s = 1.6 II. A score of 650 on

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Answer:

A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6 and A score of 48 on a test with $\bar X$ = 57 and s = 6 indicate the highest relative position.

Step-by-step explanation:

We are given the following:

I. A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6

II. A score of 650 on a test with $\bar X$ = 800 and s = 200

III. A score of 48 on a test with $\bar X$ = 57 and s = 6

And we have to find that which score indicates the highest relative position.

For finding in which score indicates the highest relative position, we will find the z score for each of the score on a test because the higher the z score, it indicates the highest relative position.

The z-score probability distribution is given by;

Z = $\frac{X-\bar X}{s}$ ~ N(0,1)

where, $\bar X$ = mean score

s = standard deviation

X = each score on a test

The z-score of First condition is calculated as;

Since we are given that a score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6,

So, z-score = $\frac{2.6-5}{1.6}$ = -1.5 {where $\bar X = 5.0$ and s = 1.6 }

The z-score of Second condition is calculated as;

Since we are given that a score of 650 on a test with $\bar X$ = 800 and s = 200,

So, z-score = $\frac{650-800}{200}$ = -0.75 {where $\bar X = 800$ and s = 200 }

The z-score of Third condition is calculated as;

Since we are given that a score of 48 on a test with $\bar X$ = 57 and s = 6,

So, z-score = $\frac{48-57}{6}$ = -1.5 {where $\bar X = 57$ and s = 6 }

AS we can clearly see that the z score of First and third condition are equally likely higher as compared to Second condition so it can be stated that A score of 2.6 on a test with $\bar X$ = 5.0 and s = 1.6 and A score of 48 on a test with $\bar X$ = 57 and s = 6 indicate the highest relative position.

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