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4 years ago

Solve the system of equations using the substitution method. x = −2 2x + 5 = y

2 answers:

8 0

$\text{Solve by plugging -2 to x:}\\\\\text{We know this by the question identifies what the value of x is}\\\\2(-2)+5=y\\\\\text{Solve:}\\\\2(-2)+5=y\\\\-4+5=y\\\\\boxed{1=y}$

dimaraw [331]4 years ago

3 0

Answer:

y = 1

Step-by-step explanation:

$x=-2\\2x+5=y$

$2(-2)+5=y\\-4+5=y\\1=y$

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Step-by-step explanation:

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3 years ago

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The perimeter of triangle ABC is 25 cm. Find the lenght of AC.

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3 years ago

Suppose that the number of drivers who travel between a particular origin and destination during a designated time period has a

Bumek [7]

Answer:

0.381 is the probability that the number of drivers will be at most 18.

Step-by-step explanation:

We are given the following information in the question:

The number of drivers who travel between a particular origin and destination during a designated time period has a Poisson distribution with parameter μ = 20.

The Poisson distribution is the discrete probability distribution of the number of events occurring in a given time period, given the average number of times the event occurs over that time period.
The variance of Poisson distribution is equal to the mean of Poisson distribution.

a) P(number of drivers will be at most 18)

Formula:

$P(X =k) = \displaystyle\frac{\mu^k e^{-\mu}}{k!}\\\\ \mu \text{ is the mean of the distribution}$

$P( x \leq 18) =P(x=0) + P(x =1) + P(x = 2) + ... + P(x = 18)\\\\= \displaystyle\frac{20^0 e^{-20}}{0!} + \displaystyle\frac{20^1 e^{-20}}{1!} +...+ \displaystyle\frac{20^{18} e^{-20}}{18!}\\\\ = 0.381$

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4 years ago

A bad contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 14% are pennies are 32% are dimes

Contact [7]

Answer:

$6.22

Step-by-step explanation:

Given;

Total number of coins N = 50

Number of pennies p = 14% of N = 0.14 × 50 = 7

Number of dimes d = 32% of N = 0.32×50 = 16

Number of nickels n = 4 + number of pennies = 4+p

n = 4+7 = 11

Number of quarters q;

N = p+d+n+q

q = N - (p+d+n)

q = 50-(7+16+11)

q = 16

1 Penny = 1 cent = $0.01

1 Nickel = 5 cent = $0.05

1 dime = 10 cents = $0.10

1 quarter = 25 cents = $0.25

Total amount in the bag is;

C = 0.01p + 0.05n + 0.10d +0.25q

Substituting the values;

C = 0.01(7) + 0.05(11) + 0.10(16) + 0.25(16)

C = $6.22

The bag contains $6.22

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3 years ago

Read 2 more answers

Solve the system of equations using the substitution method. ​ ​ x = −2 2x + 5 = y

Solve the system of equations using the substitution method. x = −2 2x + 5 = y