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vampirchik [111]

3 years ago

10

Which inequality represents the sentence below? Two more than a number is less than 14. 2 + n less-than-or-equal-to 14 2 + n les

s-than 14 2 + n greater-than-or-equal-to 14 2 + n greater-than 14

2 answers:

Romashka [77]3 years ago

7 0

Answer: 2 + n less-than 14

Or 2 + n < 14

Step-by-step explanation:

Let n = number

Two more than a number is less than 14

n + 2 < 14

Or 2 + n < 14 which is the same as

2 + n less-than 14

tigry1 [53]3 years ago

6 0

Answer:B

Step-by-step explanation:

You might be interested in

Q1 ).The number of white corpuscles on a slide has a Poisson distribution with mean 4.5.

dybincka [34]

The most likely number of white corpuscles om a slide is 4 ,the probability of obtaining this number 4 is 0.190 , probability of obtaining at least two white corpuscles in total on the two slides is 0.999.

Attending to the first question

<h3>What is Poison Distribution ?</h3>

Poisson Distribution is used for an independent event to find its probability in a fixed interval of time .

Let X be the number of white corpuscles on a slide, then X~Pois(4.5)

a) We have to find the most likely number of white corpuscles on a slide , which means expected value of Poise(4.5)

The expected value of Poisson distribution with mean λ is equal to λ.

Therefore the expected value is 4.5.

the number of corpuscles cannot be non-integer,

To find the most likely number in one experiment,

determine it between 4 and 5.

In the common case P(X=k) when X~Poise(λ) is equal to $\frac {\lambda^{k}} {k!}}e^{-\lambda}$

, $\rm e^{-\lambda}$ is a constant in terms of k

so the point is to find out what is greater : ${\frac {4.5^4} {4!}}$ or ${\frac {4.5^5} {5!}}$

${\frac {4.5^5} {5!}}={\frac {4.5^4} {4!}} * {\frac {4.5} 5}$

${\frac {4.5} 5} < 1$

So, ${\frac {4.5^4} {4!}}$ is greater

So, the most likely number of white corpuscles om a slide is 4.

b) the probability of obtaining this number 4 is

P(X = 4)

= ${\frac {4.5^4} {4!}}e^{-4.5}=0.190$

c) Let Y be the total number of corpuscles on two screens.

$Y=X{\scriptscriptstyle 1}+X{\scriptscriptstyle 2}Y=X1+X2$ ,

where $X{\scriptscriptstyle 1}, X{\scriptscriptstyle 2}$ - number of corpuscles on the first and second slide respectively.

Then Y = Poise(4.5 + 4.5) = Poise(9)

the probability, correct to three decimals places of obtaining at least two white corpuscles in total on the two slides

The goal is to find P(Y ≥ 2)

Therefore the probability less than 2 will be subtracted from the total probability i.e. 1

P(Y ≥ 2 ) = 1 - P (Y=0) - P(Y=1)

= $1-{\frac {9^0} {0!}}e^{-9}-{\frac {9^1} {1!}}e^{-9}=1-10e^{-9}=0.999$

To know more about Poisson Distribution

brainly.com/question/17280826

#SPJ1

7 0

2 years ago

Y^2=16 please helps me

zvonat [6]

Answer: y = 4

Step-by-step explanation:

4 * 4 = 16

3 0

3 years ago

Read 2 more answers

ANSWER I ADDED EXTRA POINTS BUT ANSWER RIGHT AND EXPLAIN YOUR ANSWER!!!! 2 QUESTIONS...

Sophie [7]

Answer:

24) D

25) D

Step-by-step explanation:

24) D

We want to find the equation of a line (in slope-intercept form) that passes through (2, -2) and is perpendicular to $y=\frac{2}{5}x+2$ .

First, let's find the slope of our new line.

Remember that perpendicular slopes are negative reciprocals of each other.

Therefore, to find the slope of our new line, we will flip our old slope and add a negative.

Therefore, the slope of our new line is -5/2.

Now, we can use the point-slope form:

$y-y_1=m(x-x_1)$

Where m is the slope and (x₁, y₁) is a point.

So, let's substitute -5/2 for our slope and (2, -2) for our point (x₁, y₁). This yields:

$y-(-2)=-\frac{5}{2}(x-2)$

Simplify:

$y+2=-\frac{5}{2}(x-2)$

Let's convert this to slope-intercept form. Distribute the right:

$y+2=-\frac{5}{2}x+5$

Subtract 2 from both sides. So, our equation is:

$y=-\frac{5}{2}x+3$

Our answer is D.

25)

We know that the cost for buying x items is given by the function:

$C(x)=6x$

We also know that the items are sold in packages of 10 only. And no one can buy more than 5 packages. In other words, we can buy 0, 1, 2, 3, 4, or 5 packages.

So, let's see how much it will be if we buy 0 packages. This will just be:

$C(0)=6(0)=\$0$

If we buy 1 package, there will be 10 items in them. So:

$C(10)=6(10)=\$60$

If we do this for 2 packages (20 items), 3 packages (30 items), and so on, we will get:

$C(20)=6(20)=\$120\\C(30)=6(30)=\$180\\C(40)=6(40)=\$240\\C(50)=6(50)=\$300$

So, our range is:

$\{0, 60, 120, 180, 240, 300\}$

The correct answer is D.

And we're done!

4 0

3 years ago

I NEED YOUR HELP ASAP 1. Determine if each point is a part of the solution set for the given inequality, . Show your work.

tatuchka [14]

Answer:

PLEASE HELP!!!

8 0

3 years ago

An angle measures 38° less than the measure of its complementary angle. What is the measure of each angle?

xxMikexx [17]

Answer:

One angle is 26 degrees and the other is 64 degrees.

Step-by-step explanation:

Complementary angles add up to a total of 90 degrees. Therefore, if one of the two angles is known to be 38 degrees less, then the other angle can be calculated:

90 = (x-38) + (x)

52 = 2x

26 = x

This means that one of the angles is 26 degrees, and the other is 64 degrees.

5 0

3 years ago