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lisabon 2012 [21]
2 years ago
8

at a farm the ratio of the number of hens to the number of ducks is 3:5 there are 125 ducks at the farm how many hens are there

on the farm​
Mathematics
2 answers:
Readme [11.4K]2 years ago
8 0

3 : 5

x : 125

125 ÷ 5 = 25

25 × 3 = 75

no. of hens = 75

vredina [299]2 years ago
3 0
It is 75 dude goodluck!!
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2 years ago
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A square is cut from a rectangle. The side length of the square is half of the unknown width w. The area of the shaded region is
Virty [35]

Answer:

  • See below

Step-by-step explanation:

<u>The side of the square is w/2, then its area is:</u>

  • A = (w/2)² = w²/4

<u>The shaded area is the difference of areas of the rectangle and the square:</u>

  • 14w - w²/4 = 84

<u>This can be simplified:</u>

  • 56w - w² = 336
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8 0
2 years ago
You are conducting a significance test of H0: μ = 5 against Ha: μ &gt; 5. After checking the conditions are met from a simple ra
nikklg [1K]

Answer:

The p-value falls between 0.005 and 0.01.

Step-by-step explanation:

Random sample of 30 observations, you obtain t = 2.35

This means that the pvalue is 1 subtracted by the pvalue of Z = 2.35, as we are testing that the mean is more than a value.

Looking at the z-table, z = 2.35 has a pvalue of 0.9906

1 - 0.9906 = 0.0094

So, between 0.005 and 0.01.

5 0
2 years ago
A manufacturer knows that 14% of the products it produces are defective. Find the probability that among 7 randomly selected pro
diamong [38]

Answer: 0.6521

Step-by-step explanation:

According to the Binomial distribution , the provability of getting x successes in n trials is given by :-

P(x)=^nC_xp^x(1-p)^{n-x} , where p=probability of getting success in each trial.

Let x denotes the number of defective products.

here , n=7 and p =0.14

Then, the probability that among 7 randomly selected products, at least one of them is defective= P(X ≥ 1) =1- P(X<1)

= 1- P(X=0)

=1-^7C_0(0.14)^0(1-0.14)^7

=1-(1(1)(0.86)^7\ \[\because ^nC_0=1]

=1-0.347927822217

=0.652072177783\approx0.6521

Hence, the probability that among 7 randomly selected products, at least one of them is defective is 0.6521 .

7 0
3 years ago
1350 to the nearest 100
nydimaria [60]

Answer:

1350 to the nearest 100 is 1400

3 0
2 years ago
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