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Ira Lisetskai [31]
3 years ago
14

In a certain​ city, the average​ 20- to​ 29-year old man is 69.6 inches​ tall, with a standard deviation of 3.1 ​inches, while t

he average​ 20- to​ 29-year old woman is 64.1 inches​ tall, with a standard deviation of 3.9 inches. Who is relatively​ taller, a​ 75-inch man or a​ 70-inch woman?
Mathematics
1 answer:
levacccp [35]3 years ago
8 0

Answer:

the 20-29 year old man are relatively taller.

Step-by-step explanation:

for the old man we have next z- score=75-69.6/3.1=1.74

for the old women we have next z-score=70-64.1/3.9=1.51

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The beverage orders from school cafeteria are shown in the graph. If 760 students purchase a beveragehow many of the students ch
kari74 [83]

according to the graph, 25% chose water, and

\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 760}}{\left( \cfrac{25}{100} \right)760}\implies 190

5 0
3 years ago
Explain in the box below how you know
natka813 [3]

Note that going from R to Q means we go down 3 and to the right 2. The slope here is -3/2. You can use the slope formula to get the same result. The slope formula is:

m = (y2-y1)/(x2-x1)

Using the visual trick or the slope formula, we see that the slope of QS is 2/3. We go up 2 and over to the right 3 to go from S to Q.

-------------------

In summary so far:

  • slope of RQ = -3/2
  • slope of QS = 2/3

If we multiply the slopes together, we end up with -1

(-3/2)(2/3) = (-3*2)/(2*3) = -6/6 = -1

Any time two slopes multiply to -1, this means the lines are perpendicular. Because we got -1 as a result, we have shown that segment RQ is perpendicular to segment QS. Angle RQS is 90 degrees.

3 0
4 years ago
The length of the base of an isosceles triangle is x. The length of the leg is 2x-2. The Perimeter of the triangle is 46. Find X
Contact [7]

Answer:

<h2><u><em>x = 10</em></u></h2>

Step-by-step explanation:

The length of the base of an isosceles triangle is x. The length of the leg is 2x-2. The Perimeter of the triangle is 46. Find X.

2x - 2 + 2x - 2 + x = 46

5x - 2 - 2 = 46

5x = 50

x = 50 : 5

x = 10

8 0
3 years ago
What is i^84? a) -i b) i c) -1 d) 1
mariarad [96]

Answer:

D) 1

Step-by-step explanation:

When you start raising i to certain powers, you begin to notice a pattern.

i^1=i \\\\i^2=-1 \\\\i^3=-i \\\\i^4=1 \\\\i^5=i \\\\ i^6=-1 \\\\ i^7=-i \\\\i^8= 1

This cycle repeats forever. Since 84 is a multiple of 4, i^84 must be 1. Hope this helps!

7 0
4 years ago
If a right triangle's hypotenuse is 17 units long, and one of its legs is 15 units long, how long is the other leg?
Vesna [10]

Answer:

8 units

Step-by-step explanation:

Hello!

So, there's a formula we can apply to right-angled triangles: Pythagorean's theorem. It states that  c = \sqrt{{a}^2 + b^{2} }, where <em>c</em> is the hypotenuse and <em>a</em> and <em>b </em>are the legs of the triangle.

So, from the problem,  if <em>c </em>= 17 and <em>a </em> = 15, then, we're solving for <em>b</em>. So we'll rewrite the theorem to solve for <em>b</em>.

{c}^2 = {a}^2+{b}^2\\{c}^2-{a}^2={b}^2\\{b} = \sqrt{{c}^2-{a}^2}

Okay, so now we have isolated the theorem for <em>b. Let's </em>plug in our values for <em>c </em>and <em>a</em>.

b = \sqrt{{17}^2-{15}^2}\\b = \sqrt{289-225}\\b = \sqrt{64}\\b = 8

So, using the theorem, we found <em>b</em> = 8. To check our work, let's plug in <em>b</em> and <em>a</em> and solve for <em>c.</em>

<em />c = \sqrt{{a}^2+{b}^2}}\\c = \sqrt{{15}^2+{8}^2}\\c = \sqrt{225+64}\\c = \sqrt{289}\\c = 17\\<em />

So, we got our hypotenuse to equal 17 units, which is correct! So, our <em>b</em> is correct too. Awesome

7 0
3 years ago
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