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2 years ago

These two triangles are similar. What are a and b? Note: the two figures are not drawn to scale. Please help with this!!!

Mathematics

1 answer:

sesenic [268]2 years ago

6 0

9514 1404 393

Answer:

a = 6
b = 22.5

Step-by-step explanation:

The ratio of smallest sides in the two triangles is ...

smaller / larger = 4/10

To find A and B, we write proportions involving corresponding side lengths.

Side A in the smaller triangle is ...

A/15 = 4/10

A = (4/10)(15) = 6

The ratio of larger to smaller is the inverse of the above ratio, so ...

B/9 = 10/4

B = (10/4)(9) = 22.5

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Stacy rolls a pair of six-sided fair dice. The probability that the sum of the numbers rolled is either a multiple of 3 or an ev

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3,6 are the only multiples so it would be 2/6 but simplify that to 1/3
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2 years ago

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suppose that a company claims that its boxes of breakfast cereal contain 15 ounces of cereal on average, with a standard deviati

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Answer: 15 ounces

Step-by-step explanation:

It is given that a company claims the average cereal in boxes of breakfast cereal = 15 ounces

And we know that the mean amount is nothing but the average amount of any data.

Mean is synonym word of average .

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2 years ago

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2 years ago

A lightbulb manufacturer ships large consignments of lightbulbs to big industrial users. When the production process is function

Mashutka [201]

Answer:

a) P[ Pf | Ptd ] = 0,428

b) P[ Pf | Nd ] = 0,692

Step-by-step explanation:

We will call:

Pf Probability of functioning correctly 60 % or 0.6

Pfn Probability of malfunctioning 40 % or 0,4

PNd Probability of nondefective bulb

D₁ Probability of defective bulb when the process is correctly working

D₂ Probability of defective bulb when the process is in malfunction condition

Ptd Total probability of defective bulbs

Then applying theorem´s Bayes have

P [ A | B ] = P(A) * P [ B | A ] / P(B)

a) Probabilty of the process is functioning correctly given that we pick up a defective bulb

The total probability of defective bulbs is equal to, probabilty of defective bulbs when the process is Ok, plus probability of defective bulbs when the process is in malfunctioning condition, therefore

Ptd = (0,6)*(0,25) + (0,40)*(0,50) = 0,15 * 0,20 = 0,35

P[ Pf | Ptd ] = Pf * P [ Pd | Pf ] / Ptd = 0,6 * 0,25 / 0,35

P[ Pf | Ptd ] = 0,428

b) P [ Pf | Nd ]

P[ Pf | Nd ] = Pf * P [Nd | Pf ] / PNd

PNd = 1 - Ptd = 1 - 0,35 = 0,65

P[ Pf | Nd ] = 0,6 * 0,75 / 0,65 = 0,692

P[ Pf | Nd ] = 0,692

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2 years ago

The negative sign in 15t-2t belongs to the term____?

alexdok [17]

The expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.

Solution:

Given expressions are 15t – 2t and 2t – 15t.

To determine 15t – 2t is equivalent to 2t – 15t or not.

Substitute t = 2 in above two expressions.

15t – 2t = 15(2) – 2(2)

= 30 – 4

= 26

2t – 15t = 2(2) – 15(2)

= 4 – 30

= –26

The values of the expressions are different when t = 2.

So, 15t – 2t is not equivalent to 2t – 15t.

Hence the expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.

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