Simplify the expression by arranging the steps in sequence, based on the order of operations.

Consider an individual selected at random from a sample of 750 married women (see the data in the file P05_61.xlsx) in answering

iren [92.7K]

Answer:

P(A) = 86 / 265

P(B) = 39 / 153

P(C) = 243 / 326

Note:

Missing data as follow

Number of children No job Part-time Full-time Total

0 16 39 98 153

1 86 59 126 271

2 163 80 83 326

Total 265 178 307 750

Computation:

P(A) = 86 / 265

P(B) = 39 / 153

P(C) = (163 + 80) / 326 = 243 / 326

3 0

4 years ago

The equation y = 0.002x - 0.30 can be used to determine the approximate cost, y in dollars, of producing x items. How many items

ArbitrLikvidat [17]

Answer:

193650

Step-by-step explanation:

Since the cost must be no more than 387$, you can substitute that number instead of y to get 387 = 0.002x - 0.30. you can add 0.30 to both sides to get 387.3 = 0.002x

Then you can divide both sides by 0.002 to get 387.3/0.002 = 193650

5 0

3 years ago

The height of a triangle is 4 sqrt 3 . What is the perimeter of the equatorial triangle?

Karo-lina-s [1.5K]

The perimeter of the equatorial triangle is 24 units

<h3><u>Solution:</u></h3>

Given that,

An equilateral triangle has an height equal to $4 \sqrt{3}$

The triangle is shown below

From Triangle ABC in the shown figure AD $=4 \sqrt{3}$

Let the sides of the equilateral triangle be ‘a’

AB = BC = a

Since, it is an equilateral triangle we get,

BD = DC = a ÷ 2

Now, using Pythagoras Theorem in Triangle ABD,

The Pythagorean theorem is this: In a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.

$\mathrm{AB}^{2}=\mathrm{BD}^{2}+\mathrm{AD}^{2}$

$\begin{array}{l}{a^{2}=\left(\frac{a}{2}\right)^{2}+(4 \sqrt{3})^{2}} \\\\ {a^{2}-\left(\frac{a}{2}\right)^{2}=(4 \sqrt{3})^{2}}\end{array}$

$\frac{4 a^{2}-a^{2}}{4}=16 \times 3$

$\begin{array}{l}{\frac{3 a^{2}}{4}=16 \times 3} \\\\ {3 a^{2}=192} \\\\ {a^{2}=192 \div 3=64}\end{array}$

a = 8

Hence, the three sides of the triangle are 8 units each

In equilateral traingle, length of all three sides of triangle are equal

So, Perimeter = 3 $\times$ (Length of each side of triangle)

Perimeter = 3 $\times$ 8 = 24

Thus the perimeter of the equatorial triangle is 24 units

7 0

3 years ago

Four big water bottles can hold 8 gallons of water. How much water can ten big water bottles hold?

denis-greek [22]

Ten big water bottles can hold 18 gallons of water

6 0

3 years ago

Read 2 more answers

How do i plot the locus of points for x=y.

aniked [119]

The locus means the “set of all” so the locus off points where x = y is all points where the x and y coordinate are the same.

One example is (1,1). Another is (2,2). Here the point (x,y) has the same number for x as for y. If you plot a few points (1,1), (2,2), (3,3) you will see they all fall on the same line. It is a diagonal line with positive slope that divides the first and third quadrants exactly in half.

For x=3 we find points where the first number (the x coordinate) is 3. The second number can be anything. Some points are (3,1) (3,2) (3,3). These points all lie on a vertical line that intersects the x axis at 3.

8 0

3 years ago

Simplify the expression by arranging the steps in sequence, based on the order of operations.​

Simplify the expression by arranging the steps in sequence, based on the order of operations.