A farmer needs 5 men to clear his farm in 10days.How many men will he need to clear the bush in 2 days.

A ferry will safely accommodate 82 tons of passenger cars. Assume that the meanweight of a passenger car is 2 tons with standard

Shalnov [3]

Answer:

The probability that the maximum safe-weight will be exceeded is 0.0455 or 4.55%.

Step-by-step explanation:

Given:

Maximum safe-weight of 37 cars = 82 tons

∴ Maximum safe-weight of 1 car (x) = 82 ÷ 37 = 2.22 tons (Unitary method)

Mean weight of 1 car (μ) = 2 tons

Standard deviation of 37 cars = 0.8 tons

So, standard deviation of 1 car is given as:

$\sigma=\frac{0.8}{\sqrt{37}}=0.13$

Probability that maximum safe-weight is exceeded, P(x > 2.22) = ?

The sample is normally distributed (Assume)

Now, let us determine the z-score of the mean weight.

The z-score is given as:

$z=\frac{x-\mu}{\sigma}\\\\z=\frac{2.22-2}{0.13}\\\\z=\frac{0.22}{0.13}=1.69$

Now, finding P(x > 2.22) is same as finding P(z > 1.69).

From the z-score table of normal distribution curve, the value of area under the curve for z < 1.69 is 0.9545.

But we need the area under the curve for z > 1.69.

So, we subtract from the total area. Total area is 1 or 100%.

So, $P(z > 1.69) = 1 - P(z < 1.69)$

$P(z>1.69)=1-0.9545=0.0455\ or\ 4.55\%$

Therefore, the probability that the maximum safe-weight will be exceeded is 0.0455 or 4.55%.

8 0

3 years ago

What are the transformations to this quadratic function y= (x+4) power of 2 - 8

I am Lyosha [343]

Answer:

Horizontal shift of 4 units to the left.

Vertical translation of 8 units downward.

Step-by-step explanation:

Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:

The vertex form of the quadratic function is y = a(x - h)² + k

Where:

The vertex is (h , k), which is either the minimum (upward facing graph) or maximum (downward-facing graph).

The axis of symmetry occurs at x = h.

a = determines whether the graph opens up or down, and makes the graph wider or narrower.

h = determines how far left or right the parent function is translated.

k = determines how far up or down the parent function is translated.

Going back to your quadratic function,

y = (x + 4)² - 8

The vertex occrs at (-4, -8)
a is assumed to have a value of 1.
Given the value of h = -4, then it means that the graph shifted horizontally by 4 units to the left.
Since k = -8, then it implies that the graph translated vertically at 8 units downward.

Please mark my answers as the Brainliest, if you find this helpful :)

4 0

2 years ago

What is |-10| x 3y=-5

Amanda [17]

|-10| x 3y = -5

Y= - 1/6

3 0

3 years ago

Find the volume of a square pyramid with a base area of 18inch squared and the height of 4 inches

den301095 [7]

Vpyramid=1/3 times area of base times height
volume=1/3 times 18 square inches times 4in
volume=6 square inches times 4in
volume=24 cubic inches

the volume is 24 cubic inches

5 0

3 years ago

Albuterol 1.2mg PO.T.I.D. Is ordered for a child weighing 27lb.The recommended dosage is 0.3mg/kg.Available:2mg/5mL.How much of

juin [17]

Answer:

The solution required per dosage is 3 mL and 9.175 mL of solution is required for the recommended dosage in a day.

Step-by-step explanation:

As the weight of the child is given as 27 lbs. Converting it to kgs as

1 kg =2.2042 lb

So 27 lbs=27/2.2042 kg

The weight of the kid in kg is 12.247 kg.

As the recommended dosage is 0.3 mg/kg/hour so for the weight of the kid the recommended dosage for the day is given as

Recommended dosage=0.3*12.247 =3.67 mg per day

As the concentration is given as 2 mg/5mL

So for each dose the solution is found as

Solution per dose is as Dose Value/Concentration=1.2/(2/5)=3 mL

So the solution required per dosage is 3 mL

Now for the solution required per day is given as

Solution per day is as =Dose Value/Concentration=3.67/(2/5)=9.175 mL

So 9.175 mL of solution is required for the recommended dosage in a day.

6 0

3 years ago