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alexandr402 [8]
2 years ago
6

Aiden works in a warehouse. 1,200 men work in the warehouse, while only 300 women work there. Write a ratio that compares men to

women working at the warehouse. Question 2 options: 300 : 1,200 3 : 1 4 : 1 1,200 : 400
Mathematics
1 answer:
IRISSAK [1]2 years ago
4 0

The ratio that compares the men to the women who work at the warehouse is <u>4 : 1</u>.

<h3>What is a ratio?</h3>

A ratio is a value that shows the proportional relationship between two quantities.

A ratio indicates how many times one number is contained in another.

For example, in the above task, there is 4x the number of men when compared with the number of women who work at the warehouse.

<h3>Data and Calculations:</h3>

Men working at the warehouse = 1,200

Women working at the warehouse = 300

Ratio of men to women = 4 : 1 (1,200 : 300)

Thus, the ratio that compares the men to the women who work at the warehouse is <u>4 : 1</u>.

Learn more about ratios at brainly.com/question/12024093

#SPJ1

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Slav-nsk [51]

Triangles ABC and DEF may or may not be congruent, because the angle-angle-angle (AAA) postulate is not a criterion for congruency of any two triangles. This is because the angle-angle-angle postulate only incorporates the angles of the triangles, and the side lengths are not specified, so congruency may or may not be true for these triangles.

3 0
3 years ago
Type the correct answer in the box. Rewrite the quadratic equation in the form y = a(x − h)2 + k. y=5x^2-30x+95
S_A_V [24]

Answer:

y = 5(x - 3)^2 + 50

Step-by-step explanation:

The problem wants you to rewrite the quadratic equation in the vertex form y = a(x - h)^2 + k

You are given a quadratic equation in standard form (ax^2 + bx = c).

To convert from standard form to vertex form, there are two ways but I will show you the easier(?) way.

Use the formula x = -b/2a to find the x-value (h) of the vertex. Note that the vertex in "vertex form" is (h, k) which is virtually the same as (x, y).

In y = 5x^2 - 30x + 95, a = 5, b = -30, and c = 95. Substitute a and b into the formula -b/2a.

  • -(-30) / 2(5)

Two negative make a positive, so -(-30) becomes 30 and 2 times 5 is 10. Now we have:

  • 30/10 which simplifies down to 3.

The x (h) value of the vertex is 3. To find the y-value, substitute 3 into the original standard form equation.

  • y = 5(3)^2 - 30(3) + 95
  • = 5(9) - (90) + 95
  • 45 - 90 + 95
  • 50

The y (k) value of the vertex is 50. Now we have: (h, k) ⇒ (3, 50).

Substitute the values for h and k into the vertex form.

  • y = a(x - 3)^2 + 50

We still need the a-value, and this is easy to find. You take the a value from the original standard for equation (remember: <u>a</u>x^2 + bx + c)

So our a-value is 5. Now we can substitute this value into the vertex form and complete the question.

y = 5(x - 3)^2 + 50

6 0
3 years ago
Your manufacturing company sells metal nuts and bolts that come together in a package. The diameter of the bolts coming off the
Reil [10]

Answer:

The z score for bolt of diameter 18.12 mm is 1.20.

Step-by-step explanation:

Let <em>X</em> = diameter of bolts.

It is provided that the random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 18 mm and standard deviation, <em>σ</em> = 0.10 mm.

A <em>z</em>-score is a standardized score, a numerical, that defines how far a data value from the mean.

The distribution of <em>z</em>-scores is defined by the Standard Normal distribution.

Z\sim N(0, 1)

The formula to compute the <em>z</em>-score is:

z=\frac{x-\mu}{\sigma}

The value of the diameter of a bolt is, <em>x</em> = 18.12 mm.

Compute the <em>z</em>-score for this value as follows:

z=\frac{x-\mu}{\sigma}=\frac{18.12-18}{0.10}=\frac{0.12}{0.10}=1.20

Thus, the z score for bolt of diameter 18.12 mm is 1.20.

5 0
3 years ago
The large rectangle below represents one whole.
Sonja [21]

Answer:

40%

Step-by-step explanation:

<h3>so have 5 rectangles in a whole.</h3><h3>we also have 2 shaded potions in that whole which represents 2/5 shaded potions.</h3>

<h3>2/5 in fraction =0.4</h3>

<h3>Now Change 0.4 to percentage by multiplying 0.4 by 100</h3>

<h3>0.4 x 100 = 40</h3><h3>Therefore the percentage represented by the shaded area is 40%</h3><h3> </h3><h3>Hope this helps.</h3><h3>Good luck ✅.</h3>
5 0
2 years ago
19 6/7 divided by 4 1/8
anygoal [31]
<span>4</span>\frac{188}{231}
Hope this helps!
7 0
3 years ago
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