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Hatshy [7]
3 years ago
14

When dragons on planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 21%

of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 58 of the dragon eggs to incubate. Consider all the possible samples of 58 dragon eggs.
What is the usual number of yellow eggs in samples of 58 eggs? (Give answers as SENSIBLE whole numbers.)
minimum usual number of yellow eggs =
maximum usual number of yellow eggs
Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0

Answer:

usual number of yellow eggs = 12

Usual maximum = 21

Usual minimum = 3

Step-by-step explanation:

To solve this, we will use the expected value of a binomial probability.

The formula is;

E(X) = np

Where;

n is sample size

p is probability of success.

We are given;

n = 58

p = 21%

Thus;

usual number of yellow eggs in samples = np = 58 × 21% = 12.18 ≈ 12

From USL(Upper specification limit) and LSL(Lower specification limit) formula, we can find the maximum usual number and minimum usual number of eggs respectively.

Thus;

USL = n(p + 3√(p(1 - p)/n)

USL = 58(0.21 + 3√(0.21(1 - 0.21)/58)

USL = 21.48 ≈ 21

LSL = n(p - 3√(p(1 - p)/n)

LSL = 58(0.21 - 3√(0.21(1 - 0.21)/58)

LSL = 2.87 ≈ 3

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Yuliya22 [10]

Answer:

the formula to use is R = 100I/ PT

Step-by-step explanation:

R = rate, I = interest = $1100, P = $ 1000, T= 5years

8 0
2 years ago
Solve 5ax + 3ax = 4ax + 12 for x. Assume a ≠ 0
eduard

8ax=4ax+12

4ax=12

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Hope it helps! Comment if you have any questions!

7 0
3 years ago
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What is the angle of c (∠c)<br><br> Help immensely I will give brainliest
jeka57 [31]

Answer:

The measure of ∠c is 50°.

Step-by-step explanation:

When it comes to problems like these, there are two types of angles that should be kept in mind: complementary angles and supplementary angles.

Complementary angles are angles that add up to 90° (a right angle). Supplementary angles are angles that add up 180° degrees (a straight angle). A good way to recall this information in layman's terms is to remember this: complements are always right.

So now let's apply what we've learned to the problem. We have a straight angle that is composed of two 65° angles and an unknown C angle. We know that when angles add up to 180°, they're supplementary angles.

<u>If we interpret our problem in algebriac form, we can say that:</u>

65° + 65° + m∠C = 180°

<u>Now we just solve this problem like any other algebriac equation. First, you can combine like terms.</u>

130° + m∠C = 180°

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3 0
3 years ago
Use the equation to answer the questions. Round both answers to nearest whole number. Y = 47.25 − 2.25 X If Y equals 8 , what is
noname [10]

Answer:

If Y equals 8, X is equal to 17.

If Y drops to 4, X is equal to 19.

Step-by-step explanation:

We know that the equation is Y = 47.25- 2.25X and we want to find X when Y = 8. To do this we solve the equation for X.

47.25-2.25X=8\\47.25\cdot \:100-2.25X\cdot \:100=8\cdot \:100\\4725-225X=800\\4725-225X-4725=800-4725\\-225X=-3925\\\frac{-225X}{-225}=\frac{-3925}{-225}\\X=\frac{157}{9}=17.4444...

17.4444 rounded to the nearest whole number is 17.

If Y drops to 4,

4 = 47.25- 2.25X\\47.25-2.25X=4\\47.25\cdot \:100-2.25X\cdot \:100=4\cdot \:100\\4725-225X=400\\4725-225X-4725=400-4725\\-225X=-4325\\X=\frac{173}{9}=19.2222...

19.2222 rounded to the nearest whole number is 19.

5 0
4 years ago
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iogann1982 [59]

Answer:

divide the equation by 5

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all the components are factors of 5 so if we divide by 5, then we get as x² - 2x = -1

7 0
3 years ago
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