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3 years ago

Why is neg2to the 4th power. Neg 16 .? -2times-2times-2times 2times = 16.

1 answer:

8 0

Is it written (-2)^4 or
-2^4 ?
These are different problems.
The first (-2)^4 means
(-2)(-2)(-2)(-2) = 16
The second -2^4 means
- 2 * 2 * 2 * 2 = -16

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The distance traveled by a certain vehicle varies directly to the amount of fuel the vehicle consumes. The vehicle traveled 90 m

olga_2 [115]

Answer:

The vehicle covers 126 miles on 7 gallons of fuel.

Step-by-step explanation:

Given:

The distance traveled is directly proportional to the amount of fuel.

For $F$ gallons of fuel distance traveled $D$ miles can be given as:

$D$ ∝ $F$

$D=kF$

where $k$ is constant of proportionality.

The vehicle covers $D=90$ miles on $F=5$ gallons.

$90=k(5)$

Dividing both sides by 5.

$\frac{90}{5}=\frac{k(5)}{5}$

$18=k$

∴ $k=18$

When $F=7$ gallons

$D=(18)(7)$

$D=126$ miles

∴ The vehicle covers 126 miles on 7 gallons of fuel.

4 0

2 years ago

Find the probability of at least 6 failures in 7 trials of a binomial experiment in which the probability of success in any one

oksano4ka [1.4K]

Answer:

$P(x \geq 6)=P(X=6)+P(X=7)$

And we can find the individual probabilities:

$P(X=6)=(7C6)(0.91)^6 (1-0.91)^{7-6}=0.358$

$P(X=7)=(7C7)(0.91)^7 (1-0.91)^{7-7}=0.517$

And replacing we got:

$P(x \geq 6)=P(X=6)+P(X=7)= 0.358+0.517=0.875$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=7, p=1-0.09=0.91)$