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2 years ago

Which is the best estimate of -14 1/9 (-2 9/10) A- (-42) B-(-28) C-28 D-42

Mathematics

2 answers:

aleksandrvk [35]2 years ago

4 0

D), I believe it is -42. Correct me if im wrong :}

kipiarov [429]2 years ago

3 0

Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

$-14\dfrac{1}{9}\times -2\dfrac{9}{10}$

We first round off the elements one by one :

$14\dfrac{1}{9}\\\\=14+0.11\\\\=14.11\\\\\approx 14$

Similarly,

$2\dfrac{9}{10}\\\\=2+0.9\\\\=2.9\\\\\approx 3$

So, Best estimate would be

$-14\times -3\\\\=42$

Hence, Option 'D' is correct.

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An airline is planning its staffing needs for the next year. If a new route is approved, it will hire 837 new employees. If a n

dusya [7]

Considering a discrete distribution, it is found that the expected number of new employees to be hired by the airline is of 446.16.

<h3>What is the mean of a discrete distribution?</h3>

The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.

In this problem, considering the situation described in the text, the distribution is given by:

P(X = 837) = 0.37.

P(X = 199) = 0.63.

Hence, the expected value is given by:

E(X) = 0.37(867) + 0.63(199) = 446.16.

More can be learned about discrete distributions at brainly.com/question/24855677

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1 year ago

What is the equation for the graph shown below?

ValentinkaMS [17]

Answer: D

Explanation:

Since we don't know the y-value of the vertex, let's do this an easy way: plugging in.

Let's use the y intercept since that would be the easiest. Since x=0, the terms with x cancel, and you will get a leading result of -5

A) results in 2, so eliminate it

B) results in -2, so eliminate it

C) results in 5, so eliminate it

D) results in -5, so keep it

Since D was the only one that worked, that is our correct answer.

4 0

2 years ago

The cost of a council tax bill increased by 5%.

andreyandreev [35.5K]

The council tax bill before the increase is £1240

The equation that represents the percentage increase in council tax bill is :

percentage increase x t = £62

Where t represents the initial council tax bill - council tax bill before the 5% increase

5% x t = £62

0.05 x t = £62

Divide both sides of the equation by 0.05

t = £62 / 0.05 = £1240

To check if the answer derived is correct : 5% x 1240 = 62.

A similar question was answered here: brainly.com/question/12066598?referrer=searchResults

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2 years ago

Y= -4x+9; (-5, ), (2, ), (4, )

olganol [36]

That’s a hard one there

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2 years ago

The given line passes through the points and (-4, -3) and (4, 1).

Debora [2.8K]

Answer:

The equation of the line is y - 3 = -2(x + 4)

Step-by-step explanation:

* Lets explain how to solve the problem

- The slope of the line which passes through the points (x1 , y1) and

(x2 , y2) is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

- The product of the slopes of the perpendicular lines = -1

- That means if the slope of a line is m then the slope of the

perpendicular line to this line is -1/m

- The point-slope of the equation is $y - y_{1}=m(x - x_{1})$

* lets solve the problem

∵ A given line passes through points (-4 , -3) and (4 , 1)

∴ x1 = -4 , x2 = 4 and y1 = -3 , y2 = 1

∴ The slope of the line $m=\frac{1-(-3)}{4-(-4)}=\frac{1+3}{4+4}=\frac{4}{8}=\frac{1}{2}$

- The slope of the line perpendicular to this line is -1/m

∵ m = 1/2

∴ The slope of the perpendicular line is -2

- Lets find the equation of the line whose slope is -2 and passes

through point (-4 , 3)

∵ x1 = -4 , y1 = 3

∵ m = -2

∵ y - y1 = m(x - x1)

∴ y - 3 = -2(x - (-4))

∴ y - 3 = -2(x + 4)

* The equation of the line is y - 3 = -2(x + 4)

4 0

3 years ago