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3 years ago

Eduardo had some

Mathematics

1 answer:

lions [1.4K]3 years ago

3 0

Answer:

7 5/12 feet of tape

Step-by-step explanation:

Find the LCM and add the fractions in this case is 12

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An elevator went up 15 floors, down 9 floors, up 11 floors, and down 19 floors. Find the net change.

NARA [144]

Answer: The net change would be -2.

Step-by-step explanation: The upward change of elevator is represented by positive sign while the downward change represented by negative sign.

Given, First the elevator goes up 15 floors, change = + 15, Then it goes 9 floors down, change = -9, Then it goes 11 floors up,Change = + 11, Finally, it goes 19 floor down, Change = - 19 So, the net change = sum of total changes = 15 - 9 + 11 - 19 = -2

your welcome!

6 0

2 years ago

A line has the equation 3x–4y–12=0.<br><br> Is the point (2, −1) on the graph?

zmey [24]

Answer:

The point (2, -1 ) is not on the graph of the line.

Step-by-step explanation:

3x–4y–12=0

3*2 - 4*(-1) - 12= 0

6 + 4 - 12 =0

10 - 12 = 0

- 2 = 0 , false, so the point (2, -1 ) is not on the graph of the line.

3 0

3 years ago

Read 2 more answers

What is the answer to 3 3/8 - 1 5/6=

Ilya [14]

Answer:

37/24

Step-by-step explanation:

3 0

3 years ago

Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.

Alik [6]

Given:

In a right angle triangle, the measures of two legs are 5 ft and 5.6 ft. The measure of the hypotenuse is x.

To find:

The value of x.

Solution:

Pythagoras theorem: In a right angle triangle,

$(Hypotenuse)^2=(Base)^2+(Perpendicular)^2$

Using Pythagoras theorem, we get

$(x)^2=(5)^2+(5.6)^2$

$x^2=25+31.36$

$x^2=56.36$

Taking square root on both sides, we get

$x=\sqrt{56.36}$

$x=7.50733$

$x\approx 7.5$

The measure of missing side is 7.5 ft. Therefore, the correct option is D.

4 0

3 years ago

Car colors preference change over the years and according to the particular model that the customer selects. In a recent year, 1

Margarita [4]

Answer:

99.05% probabilitiy that at most six cars are black.

Step-by-step explanation:

For each luxury car, there are only two possible outcomes. Either it is black, or it is not black. The probability of a luxury car being black is independent from other luxury cars. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

In this problem we have that:

$p = 0.1, n = 25$

If 25 cars of that year and type are randomly selected, find the probabilitiy that at most six cars are black.

$P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)$

In which

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

$P(X = 0) = C_{25,0}.(0.1)^{0}.(0.9)^{25} = 0.0718$

$P(X = 1) = C_{25,1}.(0.1)^{1}.(0.9)^{24} = 0.1994$

$P(X = 2) = C_{25,2}.(0.1)^{2}.(0.9)^{23} = 0.2659$

$P(X = 3) = C_{25,3}.(0.1)^{3}.(0.9)^{22} = 0.2265$

$P(X = 4) = C_{25,4}.(0.1)^{4}.(0.9)^{21} = 0.1384$

$P(X = 5) = C_{25,5}.(0.1)^{5}.(0.9)^{20} = 0.0646$

$P(X = 6) = C_{25,6}.(0.1)^{6}.(0.9)^{19} = 0.0239$

$P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) = 0.0718 + 0.1994 + 0.2659 + 0.2265 + 0.1384 + 0.0646 + 0.0239 = 0.9905$

99.05% probabilitiy that at most six cars are black.

7 0

4 years ago