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3 years ago

Given the figure what is the value of x show your work

Mathematics

1 answer:

Yuri [45]3 years ago

7 0

Answer:

Part 1) The measure of angle F is $73\°$

Part 2)The value of x is $17\°$

Step-by-step explanation:

Part 1) Find the measure of angle F

we know that

-----> by supplementary angles

Part 2) we know that

The sum of the internal angles of a triangle must be equal to 180 degrees

In this problem

substitute values and solve for x

$51\°+(3x+5)\°+73\°=180\°$

$3x=180\°-129\°$

$3x=51\°$

$x=17\°$

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A data scientist studying a manufacturing process classifies each item produced by the process as either Poor, Acceptable, or Ex

Genrish500 [490]

Answer:

0.214 ; 0.064 ; 0.3859 ; 0.9966 ; 0.135

Step-by-step explanation:

Given the distribution :

Poor ___ Acceptable ____ Excellent

0.25 _____ 0.6 _________ 0.15

The data scientist receives three items produced by the manufacturing process.

Find the chance that:

a. all of items are Acceptable

0.6 * 0.6 * 0.6 = 0.6^3 = 0.214

b. none of the items is Acceptable

P(not acceptable) = 1 - p(acceptable) = 1 - 0.6 = 0.4

0.4 * 0.4 * 0.4 = 0.4^3 = 0.064

c. at least one of the items is Excellent

P(atleast one) = 1 - P(none)

P(not excellent) = 1 - 0.15 = 0.85

P(none is excellent) = 0.85^3 = 0.614125

Hence,

P(atleast one is excellent) = 1 - 0.614125 = 0.3859

d. not all of the items are Excellent

P(not all) = 1 - p(All)

P(all excellent) = 0.15^3 = 0.003375

P(not all are excellent) = 1 - 0.003375 = 0.9966

e. there is one item of each class:

P(poor) * p(acceptable) * p(excellent) * (number of classes)!

0.25 * 0.6 * 0.15 * 3!

= 0.135

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3 years ago

What is the solution to the equation |2x+3|+5=12

notsponge [240]

You can write it either way.

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muminat

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Step-by-step explanation:

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Katarina [22]

Answer:

Tommy had 56 cents in start and Loren had 7 cents in start.

Step-by-step explanation:

Let,

x be the money Tommy have.

y be the money Loren have.

According to given statement;

Tommy had 8 times more money than Loren.

x = 8y Eqn 1

Parents gave 35 cents to Loren and Tommy spent 14 cents, therefore

x-14=y+35 Eqn 2

Putting x=8y in Eqn 2

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Dividing both sides by 7

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Putting y=7 in Eqn 1

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Hence,

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