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4 years ago

Mario travels 180 miles in 2.5 hours if Mario travels at the same re how for can Mario travel in 7.5 hours

Mathematics

1 answer:

Andreyy894 years ago

8 0

Answer: 540

Step-by-step explanation:

2.5 x 3 is 7, so if he travels at the same rate, you must increase the miles by the same amount. So in this case its 180 x 3, which is 540.

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2 years ago

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3 years ago

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3 years ago

What are the characteristics of the function f(x) = 2(x-4)5?

Ivanshal [37]

Answer:

Step-by-step explanation:

Answer: Options F, E, C.

Given : function f(x)=2(x-4)^5.

To find : What are the characteristics of the function .

Solution : We have given that f(x)=2(x - 4)^5.

By the End Point behavior : if the degree is even and leading coefficient is odd of polynomial of function then left end of graph goes down and right goes up.

Since , Option F is correct.

It has degree 5 therefore, function has 5 zeros and atmost 4 maximua or minimum.

Option E is also correct.

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3 0

2 years ago

5. A company sells small, colored binder clips in packages of 20 and offers a money-back guarantee if two or more of the clips a

SOVA2 [1]

Answer:

a) Binomial.

b) n=20, p=0.01, k≥2

The probability hat a package sold will be refunded is P=0.0169.

Step-by-step explanation:

a) We know that

the defective probability is constant and independent.
the sample size is bigger than one subject.

The most appropiate distribution to represent this random variable is the binomial.

b) The parameters are:

Sample size (amount of clips in the package): n=20
Probability of defective clips: p=0.01.
number of defective clips that trigger the money-back guarantee: k≥2

The probability of the package being refunded can be calculated as:

$P(x\geq2)=1-(P(x=0)+P(x=1))\\\\\\P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}\\\\\\P(x=0) = \dbinom{20}{0} p^{0}q^{20}=1*1*0.8179=0.8179\\\\\\P(x=1) = \dbinom{20}{1} p^{1}q^{19}=20*0.01*0.8262=0.1652\\\\\\P(x\geq2)=1-(0.8179+0.1652)=1-0.9831=0.0169$

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4 years ago