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sasho [114]
3 years ago
5

Maria's bill for lunch was $12.25. How much would her tip be if she leaves a 20% tip?

Mathematics
1 answer:
maw [93]3 years ago
7 0

Answer:

$2.45

Step-by-step explanation:

First, we find how much 20% of 12.25 is:

we can convert 20% directly to a decimal:

20% = 0.2  

Then we find

20% of 12.25 = 0.2 x 12.25 = 2.45

So Maria's tip would be $2.45

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Given h(x) = 4x2 + 3x – 8, what is the value of h(–9) ?
fenix001 [56]

Answer:

h(-9) = -107

Step-by-step explanation:

h(-9) = 4(-9)2 + 3(-9) - 8 = -107

6 0
2 years ago
Given a population with a mean of muμequals=100100 and a variance of sigma squaredσ2equals=3636​, the central limit theorem appl
lakkis [162]

Answer:

a) \bar X \sim N(100,\frac{6}{\sqrt{25}}=1.2)

\mu_{\bar X}=100 \sigma^2_{\bar X}=1

b) P(\bar X >101)=1-P(\bar X

c) P(\bar X

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".  

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: P(A)+P(A') =1

Let X the random variable that represent the variable of interest on this case, and for this case we know the distribution for X is given by:  

X \sim N(\mu=100,\sigma=6)  

And let \bar X represent the sample mean, by the central limit theorem, the distribution for the sample mean is given by:  

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})  

a. What are the mean and variance of the sampling distribution for the sample​ means?

\bar X \sim N(100,\frac{6}{\sqrt{25}}=1.2)

\mu_{\bar X}=100 \sigma^2_{\bar X}=1.2^2=1.44

b. What is the probability that x overbarxgreater than>101

First we can to find the z score for the value of 101. And in order to do this we need to apply the formula for the z score given by:  

z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}  

If we apply this formula to our probability we got this:  

z=\frac{101-100}{\frac{6}{\sqrt{25}}}=0.833  

And we want to find this probability:

P(\bar X >101)=1-P(\bar X

On this last step we use the complement rule.  

c. What is the probability that x bar 98less than

First we can to find the z score for the value of 98.

z=\frac{98-100}{\frac{6}{\sqrt{25}}}=-1.67  

And we want to find this probability:

P(\bar X

5 0
3 years ago
A company made 13,450,000 in sales last year write this number in scientific notation
3241004551 [841]

Answer:

1.345*10^7

Step-by-step explanation:

Here we need to rewrite 13,450,000 in scientific notation, which looks like x.xx*10^n.

To move the decimal point in 13,450,000 to its proper place between the 3 and the 4, a move of 7 digits, we need to multiply 1.345 by 10^7.

13,450,000 in scientific notation is 1.345*10^7.

5 0
3 years ago
A moving company charges $0.60 per pound for a move from New York to Florida. A family estimates that their belongings weigh abo
m_a_m_a [10]
8000 x .60 = $48.00
This is because 4 tons = 8000 pounds.
7 0
3 years ago
Read 2 more answers
The formula for the volume of a cone is V = r²h, where r is the radius of the
pshichka [43]

Answer:

<u>h = V/r²</u>

Step-by-step explanation:

The formula is :

  • V = r²h (actually 1/3πr²h in real life)

Solving :

  • Dividing both sides by r²
  • V/r² = r²h/r²
  • <u>h = V/r²</u>
3 0
2 years ago
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