Hank car travel 162 miles on 6 gallons how far hank travel if he uses 11 gallon

Fiona is drawing polygons on a computer. She wants to map a regular 9-sided polygon back onto itself using a reflection. Which s

7nadin3 [17]

any perpendicular bisector of one of the sides".

We can define a line of reflection as the line in which a shape is reflected, or we can say that it is the mirror in which the shape is reflected. The line of reflection is the perpendicular bisector of any pair of corresponding points. If you want to join sets of corresponding points on the object and image, then

Step-by-step explanation:

3 0

2 years ago

Water coming out of a fountain is modeled by the function f(x) = −x^2 + 5x + 4 where f(x) represents the height, in feet, of the

Anastaziya [24]

Calculating x=3 and x=5, we get f(x)=10 and 4 respectively by plugging the numbers into the equation. Finding the difference and dividing by 2 (since there are 2 seconds between 3 and 5), we get 3, so the answer is either A or C. Since it doesn't only fall 3 feet, we need to specify that it is 3 feet per second, A is right!

6 0

2 years ago

Read 2 more answers

A survey showed that 79% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 14 adults are

Alexxandr [17]

Answer:

$P(X \leq 1) = P(X=0) +P(X=1)$

And if we find the indidivual probabilities we got:

$P(X=0)=(14C0)(0.79)^0 (1-0.79)^{14-0}=3.24x10^{-10}$

$P(X=1)=(14C1)(0.79)^1 (1-0.79)^{14-1}=1.71*10^{-8}$

And replacing we got:

$P(X \leq 1) = 1.74x10^{-8}$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

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".

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:

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

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: $P(A)+P(A') =1$

Solution to the problem

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

$X \sim Binom(n=14, p=0.79)$

For the first part we want this probability:

$P(X \leq 1) = P(X=0) +P(X=1)$

And if we find the indidivual probabilities we got:

$P(X=0)=(14C0)(0.79)^0 (1-0.79)^{14-0}=3.24x10^{-10}$

$P(X=1)=(14C1)(0.79)^1 (1-0.79)^{14-1}=1.71*10^{-8}$

And replacing we got:

$P(X \leq 1) = 1.74x10^{-8}$

4 0

3 years ago

G6 M4 L19

BigorU [14]

Answer:

24. because 2009-2005+20 = 24. hope that helps

5 0

3 years ago

shoebat two pairs of jeans and a belt that cost 6.95 dollars the tax on the items was 5.85 to pay the cashier $70 how much money

Fudgin [204]

You recieve 57.2 in change. This is because you add 6.95 +5.85 to get 12.8. Then you do 70-12.8 to get 57.2.

6 0

3 years ago