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Anastasy [175]
3 years ago
15

1.

Mathematics
2 answers:
Basile [38]3 years ago
8 0

Step-by-step explanation:

<h3>Let the literate and illiterate people of Rashkundu Village be 4x and x respectively then </h3><h3>4x + x = 6550</h3><h3>5x = 6550</h3><h3>x = 6550 / 5</h3><h3>x = 1310</h3><h3 /><h3>Therefore </h3><h3>no. of literate people = 4 * 1310 = 5240</h3><h3 /><h3>no. of illiterate people = 1310 </h3><h3 /><h3>Hope it will help :)</h3>
BARSIC [14]3 years ago
7 0

Answer:

5,240 literate

1310 illiterate

Step-by-step explanation:

-ratio of literate : illiterate is 1:4

-add the numbers in the ratio (4+1=5)

-divide total population by 5 (6,550/5= 1,310)

-multiply the outcome by 4 to find the number of literate people (1,310*4=5,240 people)

-subtract the number of literate people from total population to find number of illiterate people (6,550-5,240= 1,310 people).

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3 years ago
Identify the constant of proportionality for each direct variation below.
andriy [413]

Answer:

see explanation

Step-by-step explanation:

The equation of 2 quantities in direct proportion is

y = kx ← k is the constant of proportionality

1

y = - 4x ← in standard form

with k = - 4

2

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3

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3 0
2 years ago
A soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while
bija089 [108]

Answer:

The probability that the assembly line will be shut down is 0.00617.

Step-by-step explanation:

We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.

Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.

Let X = <u><em>Number of bottles in the sample that are not within specification</em></u>.

The above situation can be represented through binomial distribution;

P(X=r)=\binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.....

where, n = number of trials (samples) taken = 12 bottles

             x = number of success  = 2 or more bottles

            p = probabilitiy of success which in our question is probability that  

                 bottles are not within specification, i.e. p = 0.01

So, X ~ Binom (n = 12, p = 0.01)

Now, the probability that the assembly line will be shut down is given by = P(X \geq 2)

  P(X \geq 2) = 1 - P(X = 0) - P(X = 1)

                 = 1-\binom{12}{0} \times 0.01^{0}\times (1-0.01)^{12-0}-\binom{12}{1} \times 0.01^{1}\times (1-0.01)^{12-1}

                 = 1-(1 \times 1\times 0.99^{12})-(12 \times 0.01^{1}\times 0.99^{11})

                 = <u>0.00617</u>

8 0
3 years ago
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