All categories

3 years ago

Given that -5 < -3, which statement is not true?

Mathematics

1 answer:

Montano1993 [528]3 years ago

3 0

Answer:

- 3 is less than - 5 is not true

Step-by-step explanation:

Numbers to the right of numbers on the number line are greater.

Numbers to the left of numbers on the number line are less

- 3 is to the right of -5 on the number line and is greater than - 5

You might be interested in

Given a large sample of families with three children, what percent of the families will have all boys?

Tamiku [17]

12.5 % or one eighth

3 0

3 years ago

A batch of 200 calculators contains 3 defective units. What the probability that a sample of three calculators will have/be

Anika [276]

Answer:

1. 0.048

2. 0.952

3. 0.6465

Step-by-step explanation:

Requirement 1

the probability of no defective calculator is 0.048

Given,

Total calculator = 200

Number of defective = 3

Probability of defective,

p = 3/200

= 0.015

And the probability of non-defective,

q = 1 - p

=1-0.015

=0.985

The Probability distribution of defective follows the normal distribution.

P [X=0] = 〖200〗_(c_0 ) 〖(.015)〗^0 〖(.985)〗^(200-0)

P [X=0] = 0.048

Requirement 2

the probability of no defective is 0.048.

here, the probability of at least one defective means minimum 1 calculator can be defective. So the probability of at least one will be the probability of less than or equal 1.

P [X =less than or equal 1] = 1- P [X=0]

= 1 - 0.048

= 0.952

So the probability of at least one defective is 0.952.

Requirement 3

c) the probability of all defective calculators is 0.6465.

P [X=3] = P[X=0]+ P[X=1]+ P[X=2]+ P[X=3]

Here,

P [X=0] = 0.048

P [X=1] = 〖200〗_(c_1 ) 〖(.015)〗^1 〖(.985)〗^(200-1)

= 0.148228

P [X=2] = 〖200〗_(c_2 ) 〖(.015)〗^2 〖(.985)〗^(200-2)

= 0.2245997

P [X=3] = 〖200〗_(c_3 ) 〖(.015)〗^3 〖(.985)〗^(200-3)

= 0.2257398

So, P [X=3] = 0.048+0.148228+0.2245997+0.2257398

= 0.6465675

So, the probability of all defective calculators is 0.6465.

6 0

3 years ago

Write the equation in slope-intercept form of a line that has a slope of and passes through the point (-6, 0). 3. 1 = -2 3. 1 =

Alexus [3.1K]

$(\stackrel{x_1}{-6}~,~\stackrel{y_1}{0})\qquad \qquad \stackrel{slope}{m}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{(-6)}) \\\\\\ y=\cfrac{1}{3}(x+6)\implies y=\cfrac{1}{3}x+2$

3 0

2 years ago

Vince went on a 3 day hiking trip, he walked 3/4 the distance that he walked the day before. He walked 83.25 kilometers total in

-Dominant- [34]

Answer:

Vince walked 36 km on the 1st day of the trip.

Step-by-step explanation:

Vince went on a 3-day hike trip.

It is stated that Vince walks 3/4 of the distance that he walks the day before.

His total traveled distance = 83.25

Let 'x' be the distance traveled on the first day.

As he walks 3/4 of the distance that he walks the day before.

so the second-day traveling distance = 3/4x

And the third-day traveling distance = 3/4 × 3/4x

= 9/16x

Given his total traveled distance = 83.25

Therefore, the equation becomes

$x\:+\:\frac{3}{4}x\:+\:\frac{9}{16}x\:\:=\:83.25$

Multiply both sides the 16 (L.C.M)

$x\cdot \:16+\frac{3}{4}x\cdot \:16+\frac{9}{16}x\cdot \:16=83.25\cdot \:16$

simplify

$16x+12x+9x=1332$

$37x=1332$

Divide both sides by 37

$\frac{37x}{37}=\frac{1332}{37}$

$x=36$ km

Therefore, Vince walked 36 km on the 1st day of the trip.

8 0

3 years ago

Is statistics mathematics or science? defend your answer.

Simora [160]

Answer:

There are few kind of statistics: first of all - Mathematiсal statistics. This is quite a mathematical science.

Its applications widely used in many branches of science. First of all (for me) in measurement theory. When used correctly, there is no objection to this science and its methods.

The use in the so-called "social sciences", primarily in sociology, raises many questions: first and foremost - how representative is the "sample"? To what extent does the question asked by the respondent dictate the “correct” (expected) answer? And so on. Of course, this is not a statistic, but mostly a science-like hype, covering up the absence of objective methods.

Hope this helps <3

3 0

3 years ago