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kati45 [8]
3 years ago
7

Lucy is a dress maker. She sew 4/7 of a dress in 3/4 hour. lucy sews at a constant rate At this rate, how many dresses does lucy

sew in one hour
Mathematics
1 answer:
levacccp [35]3 years ago
6 0

Answer:

(5 1/3)/7

Step-by-step explanation:

Divide 4 by 3, then times it by four and put it over the 7

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manufacturing company produces digital cameras and claim that their products maybe 3% defective. A video company, when purchasin
alexdok [17]

Answer:

P(X>17) = 0.979

Step-by-step explanation:

Probability that a camera is defective, p = 3% = 3/100 = 0.03

20 cameras were randomly selected.i.e sample size, n = 20

Probability that a camera is working, q = 1 - p = 1 - 0.03 = 0.97

Probability that more than 17 cameras are working P ( X > 17)

This is a binomial distribution P(X = r) nCr q^{r} p^{n-r}

nCr = \frac{n!}{(n-r)!r!}

P(X>17) = P(X=18) + P(X=19) + P(X=20)

P(X=18) = 20C18 * 0.97^{18} * 0.03^{20-18}

P(X=18) = 20C18 * 0.97^{18} * 0.03^{2}

P(X=18) = 0.0988

P(X=19) = 20C19 * 0.97^{19} * 0.03^{20-19}

P(X=19) = 20C19 * 0.97^{19} * 0.03^{1}

P(X=19) = 0.3364

P(X=20) = 20C20 * 0.97^{20} * 0.03^{20-20}

P(X=20) = 20C20 * 0.97^{20} * 0.03^{0}

P(X=20) = 0.5438

P(X>17) = 0.0988 + 0.3364 + 0.5438

P(X>17) = 0.979

The probability that there are more than 17 working cameras should be 0.979 for the company to accept the whole batch

6 0
3 years ago
The difference between a number and 20 is 45...
chubhunter [2.5K]

Answer:

Step-by-step explanation:

25

6 0
4 years ago
Read 2 more answers
What is required for two triangles to be similar?
andrey2020 [161]
To make this simple

If two pairs corresponding angles in a pair of triangles are congruent then the triangles are similar
5 0
3 years ago
Find the equation of a straight line passing through the point (0,1) which is perpendicular to the line y=-2x+2
alexandr1967 [171]

Answer:

y = \frac{1}{2} x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + 2 ← is in slope- intercept form

with slope m = - 2

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-2} = \frac{1}{2}

The line crosses the y- axis at (0, 1) ⇒ c = 1 , then

y = \frac{1}{2} x + 1 ← equation of perpendicular line

3 0
3 years ago
What is a reasonable estimate for the subtraction equation 3.2 − 1.4 = ________ when you round each number to the nearest whole
icang [17]

Answer:

Hello!

After reviewing the question you have provided, I came up with the correct answer:

C) 2

Step-by-step explanation:

Firstly:

As the question states, you need to round each number to the nearest whole number and then choose the closest estimate to what the nearest solution could be.

When you round the two numbers you should come up with "3-1= ____".

This is because you round up with a number has .5 or higher, and you round down when any number has .4 or lower.

So 3.2 rounds to 3

And 1.4 rounds to 1.

With the new equation you can then solve "3-1= 2"!

Hope this helps!

3 0
3 years ago
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