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Sphinxa [80]
2 years ago
10

The coefficient of the product of (-5xy2) and (-4x2y) is

Mathematics
1 answer:
lidiya [134]2 years ago
8 0
The coefficient is the number, therefore -5 and -4,
The exponent of the first x is 1 and the second x is 2, if the 2 is meant as an exponent. The first exponent of y is 1 and 5e second y is 2
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At a Noodles & Company restaurant, the probability that a customer will order a nonalcoholic beverage is .51.
satela [25.4K]

Answer:

P(x\geq 7)=0.1886

Step-by-step explanation:

The variable x, that said the number of customer that will order a nonalcoholic beverage in a sample of n customers follows a binomial distribution. Because we have n identical and independent events with a probability p of success and (1-p) of fail.

So, the probability that x customers will order a nonalcoholic beverage is:

P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}

Where n is the size of the sample and p is the probability that a customer order a nonalcoholic beverage, so replacing the values, we get:

P(x)=\frac{10!}{x!(10-x)!}*0.51^{x}*(1-0.51)^{10-x}

Now, the probability that at least 7 will order a nonalcoholic beverage is equal to:

P(x\geq 7)=P(7)+P(8)+P(9)+P(10)

Where:

P(7)=\frac{10!}{7!(10-7)!}*0.51^{7}*(1-0.51)^{10-7}=0.1267\\P(8)=\frac{10!}{8!(10-8)!}*0.51^{8}*(1-0.51)^{10-8}=0.0494\\P(9)=\frac{10!}{9!(10-9)!}*0.51^{9}*(1-0.51)^{10-9}=0.0114\\P(10)=\frac{10!}{10!(10-10)!}*0.51^{10}*(1-0.51)^{10-10}=0.0011

So, P(x\geq 7) is equal to:

P(x\geq 7)=0.1267+0.0494+0.0114+0.0011\\P(x\geq 7)=0.1886

Finally, the probability that in a sample of 10 customers, at least 7 will order a nonalcoholic beverage is equal to 0.1886

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Step-by-step explanation:

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If an individual saves $5,700 and elects to place the total dollar amount into a savings account earning 2.75% APR compounded mo
Naddika [18.5K]

Answer:

$7,925.53

Step-by-step explanation:

We'll have to use the compound interest formula: A = P(1 + r/n)ⁿˣ

A = final amount (?)

P = starting amount (5700)

r = rate

n = times applied (12 since its monthly and there 12 months in a year)

x = years (12)

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What is twelve divided by two fifths
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Answer:

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Step-by-step explanation:

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