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4 years ago

A drone has an initial velocity of 38m/s. Five seconds later it reaches a velocity

Mathematics

1 answer:

timofeeve [1]4 years ago

7 0

Answer:

The acceleration of the drone is 2.6 m/s²

Step-by-step explanation:

The acceleration is the rate at which the speed changes over time, therefore to solve this question we must divide the change of speed by the elapsed time in order to find the accelaration of the drone in that period. We have:

a = (Vf - Vi)/dt

Where a is the acceleration, Vf is the final velocity, Vi is the initial velocity and dt is the elapsed time. We have:

a = (51 - 38)/5 = 2.6 m/s²

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Nikolay [14]

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3 years ago

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There's are 12 students working in the library.If 3/4 of them are girls, how many girls are working in the library ?

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3 years ago

According to a poll, 76% of California adults (385 out of 506 surveyed) feel that education is one of the top issues facing Cali

lina2011 [118]

Answer:

The error bound is 3.125%.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence interval $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

A sample of 506 California adults.. This means that $n = 506$ .

76% of California adults (385 out of 506 surveyed) feel that education is one of the top issues facing California. This means that $\pi = 0.76$

We wish to construct a 90% confidence interval

So $\alpha = 0.10$ , z is the value of Z that has a pvalue of $1 - \frac{0.10}{2} = 0.95$ , so $z = 1.645$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 1.645\sqrt{\frac{0.76*0.24}{506}} = 0.7288$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 1.645\sqrt{\frac{0.76*0.24}{506}} = 0.7913$

The error bound of the confidence interval is the division by 2 of the subtraction of the upper limit by the lower limit. So:

$EBM = \frac{0.7913 - 0.7288}{2} = 0.03125$

The error bound is 3.125%.

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3 years ago

Given the binomials (x-1), (x-3), (x+3), (x+5), which one is the factor of f(x) = x^3 + 6x^2 + 12x +35?

kari74 [83]

The given polynomial is
f(x) = x³ + 6x² + 12x + 35

According to the Remainder Theorem, if x = a is a zero, then
f(a) = 0, and (x-a) is a factor.

Test (x-1):
f(1) = 1 + 6 +12 + 35 = 54
Not a factor.

Test (x-3):
f(3) = 3³ +6*3² + 12*3 + 35 = 152
Not a factor.

Test (x+3):
f(-3) = (-3)³ + 6*(-3)² + 12*(-3) + 35 = 26
Not a factor.

Test (x+5):
(-5)³ + 6*(-5)² + 12*(-5) + 35 = 0
It is a factor.

Answer: (x+5) is a factor.

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3 years ago

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Katyanochek1 [597]

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4 years ago