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VARVARA [1.3K]
3 years ago
15

Estimate and solve the story.

Mathematics
1 answer:
mestny [16]3 years ago
6 0

Answer:

127

Step-by-step explanation:

You can add 158 + 378 + 237 altogether for a total of 773

then subtract 773 from 900 for a total of 127

or

You can subtract 158 from 900 = 742

then subtract 378 from 742 = 364

and finally 237 from 364 = 127

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In a semiconductor manufacturing process, three wafers from a lot are tested. Each wafer is classified as pass or fail. Assume t
Angelina_Jolie [31]

Answer:

P(X = 0) = 0.027

P(X = 1) = 0.189

P(X = 2) = 0.441

P(X = 3)= 0.343

Step-by-step explanation:

The probability mass function P(X = x) is the probability that X happens x times.

When n trials happen, for each x \leq n, the probability mass function is given by:

P(X = x) = pe_{n,x}.p^{x}.(1-p)^{n-x}

In which p is the probability that the event happens.

pe_{n,x}, is the permutation of n elements with x repetitions(when there are multiple events happening(like one passes and two not passing)). It can be calculated by the following formula:

pe_{n,x} = \frac{n!}{x!}

The sum of all P(X=x) must be 1.

In this problem

We have 3 trials, so n = 3

The probability that a wafer pass a test is 0.7, so p = 0.7

Determine the probability mass function of the number of wafers from a lot that pass the test.

P(X = 0) = (0.7)^{0}.(0.3)^{3} = 0.027

P(X = 1) = pe_{3,1}.(0.7).(0.3)^{2} = 0.189

P(X = 2) = pe_{3,2}.(0.7)^{2}.(0.3) = 0.441

P(X = 3) = (0.7)^{3} = 0.343

5 0
4 years ago
Which statement explains the difference between a point and a vertex please fast
dlinn [17]

The difference between point and the vertx is that a vertex can be used to create different geometric shapes and a point is always part of the shape.

Step-by-step explanation:

Though Vertex and Point sound similar, they are different in many crude aspects. Vertex is defined as the meeting point of two sides, lines or any extended parts. The point, in turn, denotes the singular identity of a place.

Hence vertex can be used to draw any geometrical pattern. It can be done by extending or protruding the given body parts which would result in a new geometrical figure.

Points would constitute every part of that geometrical surface that we wish to identify.

8 0
3 years ago
Read 2 more answers
A diagram of a lot of land the scale on the diagram is 1 cm represents 2.5 yards what is the area of the actual lot of land
netineya [11]

In order to determine the area of the lot of land in squared yards, proceed as follow:

Convert the dimensions of the rectangle to yards, by using the given conversion factor:

\begin{gathered} 7\operatorname{cm}\cdot\frac{2.5yd}{1\operatorname{cm}}=17.5yd \\ 15\operatorname{cm}\cdot\frac{2.5yd}{1\operatorname{cm}}=37.5yd \end{gathered}

Next, consider that the area of the lot is the area of a rectangle. Replace the previous values of the length and the width of the rectangle:

A=(17.5yd)(37.5yd)=656.25yd^2

Hence, the area of the lot of land is 656.25 sq yd

5 0
2 years ago
in 1981, about 1.1 million was lost due to fires. In 1988, The loss was about 9.6 million. Find each percentage of change
choli [55]
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8 0
3 years ago
EXPERTS ONLY its not 0 or 128 In how many ways can you put seven marbles in different colors into four jars? Note that the jars
KonstantinChe [14]

Answer:  16384

Step-by-step explanation:

Given, Total jars = 4

Total marbles = 7

Since we need to put marbles in 4 different jars, we need to choose a jar each time.

Possible choices for jars =4

Number of time we need to choose = number of marbles

So, by fundamental counting principle, we have

Total ways to put 7 marbles in 4 jars = 4\times4\times 4\times 4\times4\times 4\times 4

=4^7\\\\=16384

Hence, the required number of ways =16384

7 0
3 years ago
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