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2 years ago

Which term of the AP . 27, 24, 21, .... is zero?

Mathematics

1 answer:

dmitriy555 [2]2 years ago

3 0

Answer: 27,24,21....

d=24-27=-3 a=27

let nth term=0

a+(n-1)d=0

27+(n-1)-3=0

(n-1)-3=-27

n-1=9

n=10

Step-by-step explanation:

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Fynjy0 [20]

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3 years ago

the density of a substance is 2.5 cm calculate the volume of the substance if its mass is 25.0 grams

sesenic [268]

Answer:

10 cm³

Step-by-step explanation:

The equation for density is: d = m/v, where d is the density, m is the mass, and v is the volume.

Here, d = 2.5 and m = 25.0, so plug these into the equation to solve for v:

d = m/v

2.5 = 25/v

Multiply both sides by v:

2.5v = 25

Divide by 2.5:

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7 0

2 years ago

in a tournament, amanda scored 136 points in the first round and 127 points in the second round whatwas her percentage change be

skelet666 [1.2K]

Percent change = (new number - old number)/(old number) * 100

percent change = (127 - 136)/(136) * 100

percent change = -6.62%

Since the percent change is negative it is a percent decrease.

Answer: 6.62% decrease.

5 0

3 years ago

Which statements are true for the given quadrilaterals? Choose all answers that are correct. A. All squares are parallelograms.

Jlenok [28]

B all rectangles are squares

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2 years ago

Delta Airlines quotes a flight time of 2 hours, 5 minutes for its flights from Cincinnati toTampa. Suppose we believe that actua

siniylev [52]

Answer:

a) The graph of the probability density function for flight time is shown below.

b) 1/2

c) 0

d) 130 minutes

Step-by-step explanation:

Let's deal with the flight times in minutes instead of hours, and let T be the random variable that represents the flight time. T is uniformly distributed between 120 minutes and 140 minutes. The probability density function for T is given by

$f(t)=\frac{1}{140-120}=\frac{1}{20}$ for t in [120, 140]

a) The graph of the probability density function for flight time is shown below.

Delta Airlines quotes a flight time of 125 minutes for its flights from Cincinnati to Tampa.

b) The probability that the flight will be no more than 5 minutes late is given by

$P(T \leq 125 + 5) = P(T \leq 130) = \int\limits_{120}^{130}\frac{1}{20}dt = \frac{1}{20}(130-120)= \frac{1}{20}(10) = \frac{1}{2}$

c) The probability that the flight will be more than 10 minutes late is given by

$P(T \geq 125 + 10) = P(T \geq 135) = 0$ because the probability density function is zero for t outside of [120, 140]

d) The expected flight time is given by $E(T) = \frac{120+140}{2} = \frac{260}{2} = 130$ minutes

8 0

3 years ago