Explain how to multiply 15 3/4 x 8

Mathematics

1 answer:

max2010maxim [7]3 years ago

3 0

Answer:

Step-by-step explanation:

The easiest way is to use the distributive rule. 15¾ = 15+ ¾

15¾*8 = (15+¾)8 = 15*8 + ¾*8 = 120+6 = 126

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The legs of a right triangle are 5 units and 15 units. What is the length of the hypotenuse?

givi [52]

Answer:

15.8 units

Step-by-step explanation:

Solve this using the Pythagorean Theorem:

$x^2=5^2+15^2\\x^2=25+225\\x^2=250\\x=15.8$

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4 years ago

Find the values of x,y,z. This diagram is not a scale.

Serjik [45]

Important:
   The sum of the three angles inside
      every triangle is always 180°.

First, look at the left triangle alone.
Two of its angles are 46° and 58° . (46° + 58° ) = 104°
That leaves (180° - 104° ) = 76° degrees for the third angle.
The third angle in that triangle is 'x'.
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At the point where 'x' and 'z' come together:
'x' and 'z' are a "linear pair".
Placed side-by-side, they form a straight line.
So (x + z) = 180° .
But x = 76°.
So z = (180° - 76°).    z = 104° .

Now look at the the skinny triangle on the right alone.
The angle at the top is 13°, and z = 104°.
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That leaves (180° - 117°) = 63° for the third angle.
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3 years ago

Read 2 more answers

two technicians regularly make repairs when breakdowns occur on an automated production line. the first technican, who services

xxMikexx [17]

Answer:

52.63% probability that thids intial repair was made by the first technican

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Incomplete repair

Event B: Made by the first technican.

The first technican, who services 40% of the breakdowns, has 5% chance of making incomplete repair.

This means that $P(B) = 0.4, P(A|B) = 0.05$ .

Probability of an incomplete repair:

5% of 40%(first technican) or 3% of 60%(second technican). So

$P(A) = 0.05*0.4 + 0.03*0.6 = 0.038$

Given that there is a problem with the production line due to an incomplete repair, what is the probability that thids intial repair was made by the first technican

$P(B|A) = \frac{0.4*0.05}{0.038} = 0.5263$