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3 years ago

What is the solution to this inequality? 14 + x ≤ 26

Mathematics

2 answers:

fomenos3 years ago

8 0

Answer: im here to help!!! :)

The solution to the inequality is x<12

Step-by-step explanation:

Maksim231197 [3]3 years ago

3 0

Answer:

$14 + x \leqslant 26 \\ x \leqslant 26 - 14 \\ { \tt{x \leqslant 12}}$

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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:

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

4 0

3 years ago

A college has a student to teacher ratio of 35 to 2. If there are 180 teachers at the college, how many students attend the coll

Ray Of Light [21]

number of student attend the college are 3150

Step-by-step explanation:

the student teacher ratio is 35:2

let, there are 2x teachers

according to the problem,

2x = 180

or, x = 180/2

= 90

so number of students = 35 X 90 = 3150

7 0

3 years ago

It takes 1 yard 2 feet of material to make a pillow. How much material is required to make 8 pillows?

Monica [59]

40 feet or 13 yards and 1 foot

using the conversion

1 yard = 3 feet then 1 yard 2 feet = 5 feet ← material for 1 pillow, hence

8 pillows require 8 × 5 = 40 feet

7 0

3 years ago

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ahrayia [7]

Mass, hardness, density, luster

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3 years ago

Determine the geometric mean of 45 and 15

Alenkinab [10]

I believe 30 is the answer :)

7 0

2 years ago

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