What is the value of the expression when a = 4, b = 3 ,and c = 10? 3a4b−c

Suppose that Clayton Kershaw of the Los Angeles Dodgers throws his fastball with a mean velocity of 94 miles per hour (mph) and

vekshin1

Answer:

Step-by-step explanation:

ah, probability, so the std. deviation is 2 MPH, so that means to get from the mean.. or average speed of 94, he'll have to vary by 3 std. deviations or 6 MPH to hit 100

99.7% of throws fall into that area of with in 3 std. deviations so that means

0.3% fall outside also , 1/2 of those will 3 std. deviations slow while the other half is fast

so

0.15% will be 100 or faster.... not many

8 0

3 years ago

A restaurant has an electronic system that randomly selects customers when they pay for their meal to

polet [3.4K]

Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

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

The parameters are:

x is the number of successes.
n is the number of trials.
p is the probability of a success on a single trial.

In this problem:

For each customer, 10% probability of receiving a coupon, thus $p = 0.1$ .
2 customers are selected, thus $n = 2$

The probability that neither receives a coupon is P(X = 0), thus:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{2,0}.(0.1)^{0}.(0.9)^{2} = 0.81$

0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

A similar problem is given at brainly.com/question/25326823

7 0

3 years ago

A/an _______ is a mathematical statement that calculates a value.

VashaNatasha [74]

A formula is a mathematical statement that calculates a value and each formula must always begin with an equal sign. A formula is used to express the mathematical relationship, information and rules symbolically and concisely. It basically summarizes the solution to a problem.

3 0

3 years ago

Read 2 more answers

Can someone help me with this ASAP. Thank You!

masha68 [24]

4x°=75-x° this might be wrong but I’m sure

8 0

3 years ago

Write a function modeling this debt situation if the initial debt in 2009 was

Karolina [17]

Answer:

To solve this, we are going to use the standard decay function where

is the final amount remaining after years of decay is the initial amount is the decay rate in decimal form

is the decay factor

is the time in years

I will tell Greece to decrease their expending by 25%

To find our decay factor , we are going to convert the rate from percentage to decimal; to do it, we are going to divide the rate by 100%

Decay factor =

Decay factor = (0.75)

We can conclude that our decay factor is (0.75)

c. To solve this, we are going to use the standard decay function from our previous point.

where

is the final amount remaining after years of decay is the initial amount is the decay rate in decimal form

is the decay factor

is the time in years

We know from our problem that the initial debt in 2009 was $500 billion, so ; we also know from our previous calculation that our decay factor is (0.75), so lets replace those values in our function:

We can conclude that the function that model this debt situation is: .

Greece will be debt-free when heir debt is zero. Translating this into our model, Greece will be debt-free when . Since we will need logarithms to find the time , and the logarithm of zero is not defined, we are going to use a small value for , so we can use logarithms to find .

Let . After all, a $1 debt for a country is practically the same as being debt-free.

Now, we can solve for using logarithms:

We can conclude that, with me in charge, Greece will be debt free after 93.6 years. I won't reconsider my answer b. Even tough 93.6 years is a lot of time, decreasing the public expense more than 25% will have worse consequences for the economy of the country than the debt itself.

6 0

2 years ago