2 years ago

One of the fastest cars in the world was recently measured covering 5726 meters in 50 seconds.

Mathematics

1 answer:

Alex787 [66]2 years ago

3 0

114.52 is the answer

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Scores on a biology final exam are normally distributed with a mean of 220 and a standard deviation of 16. Determine the percent

IrinaK [193]

Answer:

86.64%

Step-by-step explanation:

Mean (μ) = 220

σ= 16

n= 4

mean score(X) = 220 -12

= 208

Using central limit theorem which says that for a sample of size (n), the standard error is

standard deviation /√n

= 16/√4

= 16/2

= 8

Standard error = 8

Using Z score

Z = (μ - x) / standard error

Z= (220 -208)/8

Z= 12/8

Z= 1.5

From the table, Z = 1.5 = 0.4332

Since the normal distribution curve is symmetrical, we have

0.4332*2

= 0.8664

Percentage = 0.8664*100

= 86.64%

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2 years ago

The number of species n found on islands typically increases with the area of the island A. Suppose that this relationship is su

Crazy boy [7]

Answer:

$n(A) = n_1A^k$

Step-by-step explanation:

Taking into account that the growth rate of the number of species on the island is proportional to the density of species (number of species between area of the island), a model based on a differential equation is proposed:

$\frac{dn}{dA} = k\frac{n}{A}$

This differential equation can be solved by the method of separable variables like this:

$\frac{dn}{n} = k\frac{dA}{A}$ with what you get:

$\int\ {\frac{dn}{n}}\ = k\int\ {\frac{dA}{A}}$

$ln|n| = kln|A|+C$ . Taking exponentials on both sides of the equation:

$e^{ln|n|} = e^{ln|A|^{k}+C}$

$n(A) = e^{C}A^{k}$

how do you have to $n (1) = n_1$ , then

$n(A) = n_1A^k$

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2 years ago

A pendulum's first swing has an arc of 24 inches. As the pendulum swings back and forth, the arc length for each successive swin

andrezito [222]

Answer:

Step-by-step explanation:

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2 years ago

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You have $18 to spend on oranges and grapes. Graph the equation 1.5x+2y=181.5x+2y=18, where xx is the number of pounds of orange

julia-pushkina [17]

The answer is nine pounds of grapes.
X=0
Y=9

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2 years ago

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A survey asks 48 randomly chosen students if they plan to buy a school newspaper this week. Of the 48 surveyed, 32 plan to buy a

disa [49]

The most probable number, in this case, would be by ratio,
32:48 = 360:x
cross multiply and solve for x
x=360*48/32=540
Ans. Most probably there are 540 students enrolled.

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2 years ago