Simplify: 6√2•5v14.

here are the numbers of 15 people ate out last month. 6,5,5,3,5,4,3,6,4,3,6,5,3,7,6 find the modea of this data set

Taya2010 [7]

Answer: 3 and 5

Step-by-step explanation: The mode is the number that appears most frequently in a data set.

Although it's optional I recommend writing these integers from least to greatest so it will be easier to see what number occurs most frequently.

Notice that there are two numbers (3 and 5) that appear most often (and the same number of times) which means the data set has two modes. When a data set has two modes, this is called bimodal.

8 0

3 years ago

Read 2 more answers

Maria invests $6,154 in a savings account with a fixed annual interest rate of 8% compounded continuously. What will the account

VladimirAG [237]

Answer:

$13,695.98

Step-by-step explanation:

Continuously compounded interest formula:

$A = Pe^{rt}$

where

A = future value

P = principal (present value of amount invested)

e = mathematical constant, the base of natural logarithms

r = interest rate

t = time in years

We have: P = 6154; r = 8% = 0.08; t = 10

$A = 6154e^{0.08 \times 10}$

$A = 6154e^{0.8}$

$A = 6154 \times 2.2255$

$A = 13695.98$

Answer: $13,695.98

3 0

3 years ago

According to New Jersey Transit, the 8:00 A.M. weekday train from Princeton to New York City has a 90% chance of arriving on tim

jonny [76]

Answer:

See explanation below.

Step-by-step explanation:

Assuming this problem: "According to New Jersey Transit, the 8:00 A.M. weekday train from Princeton to New York City has a 90% chance of arriving on time on a randomly selected day. Suppose this claim is true. Choose 6 days at random. Let W = the number of days on which the train arrives late. "

For this case we can check if the binomial model can be used checking conditions:

1) We satisfy that we have independent trials and is assumed for this case

2) We have a fixed value for the trials n =6 and for the probability p = 0.9 on each trial

3) We have bernoulli experiments on each trial since we have success or failure for each case.

So then since all the conditions are satisfied we can assume that the binomial model can be used here.

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 W the random variable of interest "the number of days on which the train arrives late", on this case we now that:

$W \sim Binom(n=6, p=0.9)$

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:

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

We can find all the possible probabilities for all the possible values of X like this:

$P(X=0)=(6C0)(0.9)^0 (1-0.9)^{6-0}=1x10^{-6}$

$P(X=1)=(6C1)(0.9)^1 (1-0.9)^{6-1}=5.4x10^{-5}$

$P(X=2)=(6C2)(0.9)^2 (1-0.9)^{6-2}=0.001215$

$P(X=3)=(6C3)(0.9)^3 (1-0.9)^{6-3}=0.01458$

$P(X=4)=(6C4)(0.9)^4 (1-0.9)^{6-4}=0.0984$

$P(X=5)=(6C5)(0.9)^5 (1-0.9)^{6-5}=0.354$

$P(X=5)=(6C5)(0.9)^6 (1-0.9)^{6-6}=0.531$

4 0

3 years ago

A certain basket contains 10 apples, 7 of which are red and 3 of which are green. if 3 different apples are to be selected

SashulF [63]

The probability for getting a red apple is 70% and green apples is 30%.
So for getting three different apples is impossible since there are two types of apples.

3 0

3 years ago

Two students, Abby and Any have the same number of chocolates. Abby has one full tub of chocolates and 21 remaining chocolates.

aalyn [17]

The answer is 38 I hope this helps

3 0

3 years ago

Simplify: 6√2•5v14. ​

Simplify: 6√2•5v14.