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4 years ago

Is it prime or polynomial

1 answer:

7 0

The expression: 4x² + 38x + 70 ; is a polynomial expression.
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A federal report found that a lie detector test given to someone telling the truth will suggest that they lied in about 20% of c

aleksley [76]

Answer:

$0.055$

Step-by-step explanation:

Let $p$ be the probability of lying an applicant, so, $p=20 \%$ .

$\Rightarrow p=\frac {20}{100}=\frac {1}{5}\;\cdots (i)$

Any applicant will either lie or will tell the truth.

Let $q$ be the probability of telling the truth, so, $q= 1-\frac {1}{5}$

$\Rightarrow q=\frac {4}{5}$

As for every applicant $p+q=1$ , so this is Bernoullies trials, for which

the probability of success of exactly $x$ times of an event out of $n$ trials is $P(x)=\binom {n}{x} p^xq^{n-x}\; \cdots (iii)$ .

Now, let $E$ be the event of at least one of the applicants is lying out of $11$ applicants, here the total number of applicants, $n=11$ .

So, $P(E)= P(x=1)+ P(x=2)+\cdots+ P(x=11)$

This is equivalent to

$P(E)=1-P(x=0)$ as $[P(x=0)+P(x=1)+ P(x=2)+\cdots+ P(x=11)=1]$

Now, from equation (iii),

$P(E)=1-\binom {11}{0} p^0q^{11-0}$

$\Rightarrow P(E)=1-11\left(\frac {1}{5}\right)^0\left(\frac {4}{5}\right)^{11}$ [from equations s (i) and (ii)]

$\Rightarrow P(E)=1-11\times 1 \times \left(\frac {4}{5}\right)^{11}$

$\Rightarrow P(E)=1-0.945$ (approx)

$\Rightarrow P(E)=0.055$

Hence, the probability that the lie detector indicates that at least one of the applicants is lying is $0.055.$

7 0

3 years ago

Which of these sets of ordered pairs would define a line with a positive slope?

Serhud [2]

The correct answer is D

8 0

3 years ago

A start-up company opened with 8 employees.

tiny-mole [99]

By representing the equation is written in the form y = ax + b .

The value of b is 8.

According to the question

A start-up company opened with 8 employees.

So, Number of employees = 8

At zero quarter = 8

The company’s growth plan assumes that 2 new employees will be hired each quarter

After 1 quarter = Number of employees + 2 new employees

After one quarter = 8 + 2 = 10

Equation is written in the form y = ax + b to represent the number of employees, y, employed by the company x quarters after the company opened

y = ax + b

10 = 2 × 1 + b

10 = 2 + b

Subtract 2 on both sides of the equation

b = 10 - 2

b = 8

The value of b is 8.

Find out more information about equation here

brainly.com/question/14130415

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4 0

2 years ago

The vertices of a right triangle are (0, 0), (1, 0), and (0, 1).

Alchen [17]

Answer:

(3,3)

Step-by-step explanation:

Given

$Vertices: (0,0)\ (1,0)\ (0,1)$

$Scale\ Factor = 3$

Required

Determine which can't be any of the new vertices

First, we need to determine the new vertices:

$New\ Vertex = Scale\ Factor * Old\ Vertex$

For (0,0):

$New\ Vertex = 3 * (0,0)$

$New\ Vertex = (3 * 0,3 * 0)$

$New\ Vertex = (0,0)$

For (1,0):

$New\ Vertex = 3 * (1,0)$

$New\ Vertex = (3 * 1,3 * 0)$

$New\ Vertex = (3,0)$

For (0,1):

$New\ Vertex = 3 * (0,1)$

$New\ Vertex = (3 * 0,3 * 1)$

$New\ Vertex = (0,3)$

<em>Comparing the calculated new vertices to the list of given options; (3,3) can't be any of the new vertices of the new triangle</em>

5 0

4 years ago

Maggie bought 3 2/3 lb of apples to make. what is the weight of the apples written as a decimal?

alina1380 [7]

I think its 2.666 I hope I'm right

3 0

3 years ago