Solve : A=1/2nal for n

The sharks are fed three times a day. During the morning feeding , 2/15 tons of fish is fed. During the afternoon feeding, the w

zzz [12365]

Answer:

1/6 ton of fish is provided during the night feeding.

Step-by-step explanation:

The fish consumed in the morning is $\dfrac{2}{15}$ tons, and the amount of fish served in the afternoon is $\dfrac{1}{15}$ greater than in the morning. This means

$\dfrac{2}{15} +\dfrac{1}{15}$

Let’s represent the quantity of fish given at night as $x$ , and if the total fish fed throughout the day equals $\dfrac{1}{2}$ , we have

$\dfrac{2}{15}+(\dfrac{2}{15} +\dfrac{1}{15})+x=\dfrac{1}{2}$

By summing the numerators on the left side, we derive:

$\dfrac{5}{15} +x=\dfrac{1}{2}$

and subtracting $\dfrac{5}{15}$ from both sides allows us to isolate $x:$

$x=\dfrac{1}{2} -\dfrac{5}{15}$

Since $\dfrac{5}{15} =\dfrac{1}{3}$ , we derive

$x=\dfrac{1}{2}-\dfrac{1}{3}$

The common denominator for the fractions is 6; hence, we write the equation in the form

$x=\dfrac{3}{6}-\dfrac{2}{6}$

and simplifying the numerators results in:

$\boxed{x=\dfrac{1}{6} }$

which indicates the amount of tons fed during the night feeding.

7 0

2 months ago

A box has 14 camera of which 6 are refurbished and 8 are new. If four of these 14 cameras are selected at random without replace

Leona [12618]

Answer:

160/1001, 175/1001

Step-by-step explanation:

i) We calculate:

₈C₁ methods to select 1 new camera from a selection of 8

₆C₃ methods to select 3 refurbished cameras from a selection of 8

₁₄C₄ methods to select 4 cameras from the total of 14 cameras

The probability formula is:

P = ₈C₁ ₆C₃ / ₁₄C₄

P = 8×20 / 1001

P = 160 / 1001

P ≈ 0.160

ii) For at most one new camera, it means we want either one new camera or none at all. We've calculated the probability of selecting one new camera already. The probability of not selecting any new camera is equivalent to selecting 4 refurbished cameras:

P = ₆C₄ / ₁₄C₄

P = 15 / 1001

Therefore, the combined probability is:

P = 160/1001 + 15/1001

P = 175/1001

P ≈ 0.175

4 0

3 months ago

Find the P-value in a test of the claim that the mean IQ score of acupuncturists is equal to 100, given that the test statisti

Leona [12618]

Answer:

P-value = 0.0455

Step-by-step explanation:

This inquiry focuses on calculating the P-value in a test.

Mathematically, we establish that;

P-value = 2 * P(Z > |z|)

Please refer to the attached document for a comprehensive resolution and step-by-step explanation

7 0

2 months ago

Employee C is paid an hourly rate of $13.25 per hour and works 2,080 hours per year. The employee was just promoted and received

Svet_ta [12734]

His hourly wage was $13.25, and he just got a 15% increase.
Calculating: 13.25 + 0.15 × 13.25 = 13.25 + 1.99 = 15.24 dollars per hour with the raise.

For 2080 hours, the total yearly pay is:
15.24 × 2080 = 31,699.20 <==

4 0

3 months ago

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