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2 years ago

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Tyler's mom purchased a savings bond for Tyler. One year after it was purchased, the value of the savings bond was $156. If the

value of the savings bond increases by 4% after one year, what was the value of the bond when Tyler's mom purchased it?]

1 answer:

Likurg_2 [28]2 years ago

8 0

Answer:

$149.76

Step-by-step explanation:

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Maggie is practicing her penalty kicks for her upcoming soccer game. During the practice, she attempts 10 penalty kicks. If each

arlik [135]

Answer:

$P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)$

And we can find the individual probabilities like this:

$P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176$

$P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072$

$P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013$

And adding we got:

$P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262$

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".

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

$X \sim Binom(n=10, p=0.65)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

For this case we want to find this probability:

$P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)$

And we can find the individual probabilities like this:

$P(X=8)=(10C8)(0.65)^0 (1-0.65)^{10-8}=0.176$

$P(X=9)=(10C9)(0.65)^1 (1-0.65)^{10-9}=0.072$

$P(X=10)=(10C10)(0.65)^2 (1-0.65)^{10-10}=0.013$

And adding we got:

$P(X \geq 8)= P(X=8) +P(X=9) +P(X=10)= 0.176+0.072+0.013=0.262$

5 0

2 years ago

Given y = log3(x + 4), what is the domain?

dem82 [27]

For a logarithmic function, we have a restriction on the domain.
Since log(0) isn't defined, we say that there is an asymptote at x = 0.
Thus, for the regular logarithmic function y = log(x), x > 0.

We can then say (x + 4) > 0, since that's when the function of a logarithm is defined as.
x + 4 > 0
x > -4

Thus, the domain of the logarithmic function is x > -4, where x is a real integer.

5 0

2 years ago

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0941+0327 military time

kipiarov [429]

Answer:

13:08 Military Time

Step-by-step explanation:

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2 years ago

The Quick Change Oil Company has a number of outlets in the metropolitan Seattle area. The daily number of oil changes at the Oa

timurjin [86]

Answer: 5 classes.

Step-by-step explanation:

You can use the rule to determine the number of classes for a frequency distribution.

The rule says that where

is the number of classes

is the number of the data points

We know that the number of data points is = 20.

Next, we start searching for so that we can get a number 2 to the that is larger that the number of data points.

This suggests that you should use 5 classes.

4 0

2 years ago

Which irrational number is represented by point D? A) V175 B) V250 ) 1392 D) 440

Olenka [21]

Answer:

c that is the answer yes .

6 0

2 years ago