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USPshnik [31]
3 years ago
11

When dividing 82 by 43, Linda estimated the quotient to be 2. Examine Linda’s work, and explain what

Mathematics
1 answer:
Vanyuwa [196]3 years ago
8 0

Answer:

82/43 = 1 and 39/43

Step-by-step explanation:

When dividing 82 by 43 , the operation follows;

82/43 = 1 and 39/43

This means the quotient is 1 and reminder is 39

However;

82/43 = 1.907 ------nearest whole number is 2.

so the quotient can be approximated to the nearest whole number as 2.

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Samples of 20 parts from a metal punching process are selected every hour. Typically, 1% of the parts require rework. Let X deno
Roman55 [17]

Answer:

a) P(X>np+3\sqrt{np(1-p)}=0.017

b) P(x>1)=0.190

c) P(Y>1)=0.651

Step-by-step explanation:

This a binomial experiment where success is denoted by parts that need rework.

X ∼ B(n, p); n = 20; p = 0.01

The expected value of X is: E(X) = np =20×0.01= 0.2

The variance is: Var(X) = np(1 − p) = 0.2 × 0.99 = 0.198,

The standard deviation SD(X)= \sqrt{0.198} ≈ 0.445

a) P(X>np+3\sqrt{np(1-p)}=P(X>0.2+3×0.445)=P(X>1.535)=P(X≥2)

Probability function is given by:

\frac{n!}{x!(n-x)!} *p^x*(1-p)^{(n-x)}

P(X≥2)=1-P(X<2)=1-P(X=1)-P(X=0)= 1 - \frac{20!}{1!(20-1)!} *(0.01)^{1}*(1-0.01)^{(20-1)}-\frac{20!}{0!(20-0)!} *(0.01)^{0}*(1-0.01)^{(20-0)}

P(X≥2)=1-0.165-0.818=0.017

b) p=0.04

P(x>1)=P(x≥2)= 1 - P(x=1) - P(x=0)= 1 - \frac{20!}{0!(20-1)!} *(0.04)^{1}*(1-0.04)^{(20-1)} - \frac{20!}{0!(20-0)!} *(0.04)^{0}*(1-0.04)^{(20-0)}

P(x>1)= 1 - 0.368 - 0.442=0.190

c) In this case we consider p=0.19 (Probability that X exceeds 1)

In this experiment Y is the number of hours and n= 5 hours.

Then, we check the probability in each hour:

P(Y>1)=1- P(Y=0)

P(Y=0)=\frac{5!}{0!(5-0)!} *(0.19)^{0}*(1-0.19)^{(5-0)}=0.349

P(Y>1)=1-0.349=0.651

3 0
3 years ago
What is x and what is y in 4x-2y=4
Fed [463]

Answer:

x = 1/2y + 1

y = 2x - 2

Step-by-step explanation:

Let's solve for x.

4x−2y=4

Step 1: Add 2y to both sides.

4x−2y+2y=4+2y

4x=2y+4

Step 2: Divide both sides by 4.

4x

4

=

2y+4

4

x=

1

2

y+1

Answer:

x=

1

2

y+1

Let's solve for y.

4x−2y=4

Step 1: Add -4x to both sides.

4x−2y+−4x=4+−4x

−2y=−4x+4

Step 2: Divide both sides by -2.

−2y

−2

=

−4x+4

−2

y=2x−2

Answer:

y=2x−2

Hope this helps!

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3 years ago
Convert 12 feet by 19 feet
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You would know because for example, if it's out of 4 and the fraction said 4/4, that would mean one. 3/3 would mean one. 2/2 and so on
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3 years ago
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The graph shown here is the graph of which of the following rational
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Answer:

I think it's option B ...

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