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Mice21 [21]
3 years ago
13

The floor of a storage unit is 6 ft long and 8 feet wide what is the distance between two opposite corners of the floor

Mathematics
1 answer:
ollegr [7]3 years ago
7 0

Answer:

10 feet

Step-by-step explanation:

Find the hypotenuse

a^2 + b^2 = c^2

6^2 + 8^2 =c^2

36+ 64 = c^2

100=c^2

(square root) 100 = 10

c=10

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The polynomial is a difference of perfect squares. Use the formula a2 – b2 = (a + b)(a – b) to factor completely.
hodyreva [135]

Answer:

(9x+7)(9x-7)

value of a =9x

              b = 7

5 0
2 years ago
Given the rational function below and it’s graph, explain why there is a “hole” in the graph at x=2 hints: are there any inputs
Nezavi [6.7K]

Answer:

Step-by-step explanation:

Given function is, f(x)=\frac{x^2-3x+2}{x-2}

Factors of the numerator = x² - 3x + 2

                                          = x² - 2x - x + 2

                                          = x(x - 2) - 1(x - 2)

                                          = (x - 2)(x - 1)

Therefore, given function will be,

f(x) = \frac{(x-2)(x-1)}{(x-2)}

For (x - 2) = 0

For x = 2, denominator will become zero.

Thus for input value x = 2, function will not be defined.

If x ≠ 2, f(x) = x - 1

It's a linear function represented by f(x) = x - 1

Having slope = 1 and y-intercept = -1

And (2, 1) is a hole as shown in the graph.

8 0
3 years ago
A line passes through (3, -2) and (6, 2).
kykrilka [37]
A. So first do slope formula which is (2+2)/(6-3). This gets you the slope of 4/3. Point slope form is y-2=4/3(x-6).
B. Then plug in a point in slope intercept form which I will do (6,2). This would get you the equation 2=4/3(6)+b. b=-6. Your slope intercept form is y=4/3x-6. Turn this into standard formats form by subtracting 4/3x from both sides to get y-4/3x=6. Finally multiply both sides by three to get your final answer of 3y-4x=18.
3 0
3 years ago
If a car agency sells 50% of its inventory of a certain foreign car equipped with side airbags, find a formula for the probabilit
antiseptic1488 [7]

Answer:

Let X the random variable of interest "number of cars with side airbags among the next 4", on this case we now that:

X \sim Binom(n=4, p=0.5)

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!}

And the distribution is given by:

P(X)= (4CX) (0.5)^x (1-0.5)^{4-x}

With X=0,1,2,3,4

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".

Solution to the problem

Let X the random variable of interest "number of cars with side airbags among the next 4", on this case we now that:

X \sim Binom(n=4, p=0.5)

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!}

And the distribution is given by:

P(X)= (4CX) (0.5)^x (1-0.5)^{4-x}

With X=0,1,2,3,4

3 0
3 years ago
Read 2 more answers
Graph <br> f(x) = (x - 1) (x + 4)?
klemol [59]

Answer:

graph

Step-by-step explanation:

graph shown

intersected large curve

3 0
3 years ago
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