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3 years ago

P is a rectangle with a length 40 cm and width x cm

Mathematics

1 answer:

TiliK225 [7]3 years ago

3 0

The first thing we must do for this case is to look for the area of each rectangle.
We have then:
A1 = (40) * (x)
A2 = (1.25 * 40) * (y)
Then, we have the following relationship between areas:
"the area of Q is 10% less than the area of p"
A2 = 0.9 * A1
Substituting values we have:
(1.25 * 40) * (y) = 0.9 * ((40) * (x))
We rewrite:
50y = 36x
The relationship x: y is:
x / y = (50) / (36)
Simplifying:
x / y = (25) / (18)
Answer:
the ratio of x:y is:
25:18

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Answer:Undefined

Step-by-step explanation:

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3 years ago

Which values of c will cause the quadratic equation –x2 + 3x + c = 0 to have no real number solutions? Check all that apply.

nika2105 [10]

Quadratic equation which has no solution gives zero for the value of d.
d = b² - 4ac
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c = -9/-4 pr 9/-4
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In short, Your Answers would be Option C & E

Hope this helps!

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3 years ago

Read 2 more answers

A real estate agent has 19 properties that she shows. She feels that there is a 30% chance of selling any one property during a

netineya [11]

Answer:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

Step-by-step explanation:

Previous concepts

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, on this case we now that:

$X \sim Binom(n=19, p=0.3)$

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 we want to find this probability:

$P(X \geq 5)$

And we can use the complement rule:

$P(X \geq 5)=1-P(X$

We can find the individual probabilities:

$P(X=0)=(19C0)(0.3)^0 (1-0.3)^{19-0}=0.00114$

$P(X=1)=(19C1)(0.3)^1 (1-0.3)^{19-1}=0.0092$

$P(X=2)=(19C2)(0.3)^2 (1-0.3)^{19-2}=0.0358$

$P(X=3)=(19C3)(0.3)^3 (1-0.3)^{19-3}=0.0869$

$P(X=4)=(19C4)(0.3)^4 (1-0.3)^{19-4}=0.1491$

And replacing we got:

$P(X \geq 5) = 1-[0.00114+0.009282+0.0358+0.0869+0.149]= 0.7178$

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3 years ago

4x(x-25)=0 how to solve the quadratic equations using any of the four methods?

butalik [34]

Answer:

x=25 or x=0

Step-by-step explanation:

4x(x−25)=0

Step 1: Simplify both sides of the equation.

4x2−100x=0

For this equation: a=4, b=-100, c=0

4x2+−100x+0=0

Step 2: Use quadratic formula with a=4, b=-100, c=0.

x=−b±√b2−4ac over 2a

x=−(−100)±√(−100)2−4(4)(0) over 2(4)

x=100±√10000 over 8

x=25 or x=0

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dybincka [34]

the go cart costs 1200

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