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2 years ago

Johnny cashless found 17 coins worth $0.21 under the couch. which coins did he find?

1 answer:

7 0

17 coins is a lot for so little money. What if they all were pennies? Then we would have 17¢, 4¢ away from what we need. Changing one penny to a nickel adds four cents to our total (minus one cent from the penny, plus five from the nickel equals 4) So he found 16 pennies and one nickel.
penny = 1¢
nickel= 5¢

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Marco mixed 2 teaspoons of sugar and 1 teaspoon of milk into his coffee. What is the ratio of teaspoons of sugar

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1 year ago

Read 2 more answers

WHAT IS THE BENEFIT OF A "SPACE CUSHION" AROUND YOUR VEHICLE?

sweet-ann [11.9K]

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2 years ago

An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability tha

TEA [102]

Answer:

The probability is $P(X >300 ) = 0.97219$

Step-by-step explanation:

From the question we are told that

The capacity of an Airliner is k = 300 passengers

The sample size n = 320 passengers

The probability the a randomly selected passenger shows up on to the airport

$p = 0.96$

Generally the mean is mathematically represented as

$\mu = n* p$

=> $\mu = 320 * 0.96$

=> $\mu = 307.2$

Generally the standard deviation is

$\sigma = \sqrt{n * p * (1 -p ) }$

=> $\sigma = \sqrt{320 * 0.96 * (1 -0.96 ) }$

=> $\sigma =3.50$

Applying Normal approximation of binomial distribution

Generally the probability that there will not be enough seats to accommodate all passengers is mathematically represented as

$P(X > k ) = P( \frac{ X -\mu }{\sigma } > \frac{k - \mu}{\sigma } )$

Here $\frac{ X -\mu }{\sigma } =Z (The \ standardized \ value \ of \ X )$

=> $P(X >300 ) = P(Z > \frac{300 - 307.2}{3.50} )$

Now applying continuity correction we have

$P(X >300 ) = P(Z > \frac{[300+0.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > \frac{[300.5] - 307.2}{3.50} )$

=> $P(X >300 ) = P(Z > -1.914 )$

From the z-table

$P(Z > -1.914 ) = 0.97219$

$P(X >300 ) = 0.97219$

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2 years ago

F(x) = x2. What is g(x)?

ahrayia [7]

Answer:

Answer: g(x)=. Step-by-step explanation: We are given that: f(x)=x². We have to find g(x). Since, we are given that g(3)=1. Hence, we will ... · g of x would equal (1/3x)^2 because if x was 6 y, g(x), would be 4

Step-by-step explanation:

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2 years ago

What is the domain and range of <br> f(x)=2x^2+6x+2

lbvjy [14]

As is the case for any polynomial, the domain of this one is (-infinity, +infinity).

To find the range, we need to determine the minimum value that f(x) can have. The coefficients here are a=2, b=6 and c = 2,

The x-coordinate of the vertex is x = -b/(2a), which here is x = -6/4 = -3/2.

Evaluate the function at x = 3/2 to find the y-coordinate of the vertex, which is also the smallest value the function can take on. That happens to be y = -5/2, so the range is [-5/2, infinity).

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2 years ago