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mr Goodwill [35]
3 years ago
6

Approximately 12% of the population is left-handed. If a school had a student population of 1,200 students how many of the stude

nts do you expect to be left-handed
Mathematics
1 answer:
Nata [24]3 years ago
4 0

Answer:

144 students are expected to be left handed

Step-by-step explanation:

Approximately 12% of the population is left-handed. This is not the exact number of left handed students but it is very close to it. It could be above or below the exact amount, hence the word, approximately was used.

In terms of probability, the probability of a student being left handed is 12/100 = 0.12. The probability of a student being right handed is 1 - 0.12 = 0.88. Therefore,

The expected number of left handed students is the probable number of left handed students and it is

0.12 x total number of students

= 0.12 × 1200 = 144 students

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Solve for x.<br><br> 2(4x− 9) = 5(x − 4)
cluponka [151]

Answer:

2(4x− 9) = 5(x − 4)

=>8x- 18= 5x-20

=>8x-5x= -20+18

=>3x = -2

=>x= -2/3

8 0
3 years ago
The minute hand of a clock is 1010 inches long and moves from 12 to 33 ​o'clock. How far does the tip of the minute hand​ move?
kenny6666 [7]

Answer: 2929 π  inch

Step-by-step explanation:

Circumference is given by= 2πr

Here r= 1010 inches

So Tip of minute hand moves= 2π (1010inch)

                                                = 2020 π inch for an hour

Now it comes from 12 to 33 o'clock=  1.45 hour so,

Tip of minute hand moves= 2020 π inch  x 1.45

Tip of minute hand moves= 2929 π  inch

5 0
3 years ago
The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is
alexgriva [62]
<h2>Answer:</h2>

<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>

<em>1308 33 cubic millimeters</em>

<h2>Explanation:</h2>

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height

While the volume of half a sphere is:

V_{hs}=\frac{2}{3}\pi r^3

Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

V_{s}=\frac{4}{3}\pi r^3

Then, the composite figure is:

V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)

The radius of the cylinder is the same of the radius of each half sphere. So:

r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}

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Step-by-step explanation:

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3 years ago
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Using the Completing the Square method, what are the zeros of the quadratic function f(x) = 2x2 + 8x - 3?
Ipatiy [6.2K]

Answer:

A.

Step-by-step explanation:

1) to rewrite the given equation:

f(x)=2(x²+4x)-3; ⇔ f(x)=2(x²+4x+4)-3-8; ⇔ f(x)=2(x²+4x+4)-11; ⇔ f(x)=2(x+2)²-11;

2) the roots are:

\left[\begin{array}{ccc}x=-\sqrt{\frac{11}{2}}-2 \\x=\sqrt{\frac{11}{2}}-2 \end{array}

3) finally, the correct answer is A.

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