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gavmur [86]
3 years ago
9

Several psychology majors conducted an experiment around campus, asking students to count backwards from 40 to 0 as fast as poss

ible. From their findings, they concluded that out of every 15 students, only 6 could accurately count backwards in less than 15 seconds. They repeated this experiment with the professors. They discovered that their success rate was 140% of the students' success rate. From the list of participants, they randomly selected 10 students and 10 professors. The probability that 4 students who completed the task were selected is S and the probability that 4 professors who completed the task were selected is R. Find the absolute difference in S and R.
Mathematics
1 answer:
Dominik [7]3 years ago
5 0

Answer:

Step-by-step explanation:

POINTS:

- Out of every 15 students, 6 were successful in the task.

- The professors' success rate is 140% of the students' success rate.

j

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Using the following intervals for the scores on a 30-point quiz, how many x's would fall over the interval of 19-21 on a line pl
VikaD [51]

Answer:

B. 4

Step-by-step explanation:

Interval: 19-21

Scores that are between 19 and 21 are underlined:

Scores in order: <u>20, 21, 21, 21</u>, 23, 25, 26, 27, 27, 29

7 0
3 years ago
One factor in flood safety along a levee is the area that will absorb water should the levee break. The coordinates that make up
Anit [1.1K]

Let

A(0,0)\\ B (2.8, 2.1)\\C(4.3, 4.4)

using a graph tool

see the attached figure

The figure is a triangle

we know that

<u>The Heron's Formula</u> is a method for calculating the area of a triangle when you know the lengths of all three sides.

Hero's Formula is equal to

Area=\sqrt{p*(p-a)*(p-b)*(p-c)}

where

p is  is half the perimeter of the triangle

 a,b,c are the lengths of the sides of a triangle

so

Step 1

<u>Find the length sides of the triangle</u>

a) <u>Find the distance AB</u>

d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}

Substitute

d =\sqrt{(2.1-0)^{2} +(2.8-0)^{2}}

d =3.5\ mi}

b) <u>Find the distance AC</u>

d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}

Substitute

d =\sqrt{(4.4-0)^{2} +(4.3-0)^{2}}

d =6.15\ mi}

c) <u>Find the distance BC</u>

d =\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}

Substitute

d =\sqrt{(4.4-2.1)^{2} +(4.3-2.8)^{2}}

d =2.75\ mi}

Step 2

<u>Find the perimeter of the triangle</u>

Perimeter= 3.5+6.15+2.75 =12.4\ mi

<u>Find the half of the perimeter </u>

p=\frac{12.4}{2} = 6.2\ mi

Step 3

<u>Find the area of the triangle</u>

Area=\sqrt{6.2*(6.2-3.5)*(6.2-6.15)*(6.2-2.75)}

Area=\sqrt{6.2*(2.7)*(0.05)*(3.45)}

Area= 1.69\ mi^{2}

therefore

<u>the answer is the option </u>

a) 1.65 mi^2.

4 0
3 years ago
Read 2 more answers
15. A cylindrical glass 10 cm tall and 8 cm in diameter is filled to 1 cm
ANTONII [103]

Answer:

No. The new height of the water is less than the height of the glass(6.33 cm<10 cm)

Step-by-step explanation:

-For the water in the glass to overflow, the volume of the inserted solid must be greater than the volume of the empty space or the ensuing height of  water >height of glass.

#Volume of the golf ball:

V=\frac{4}{3}\pi r^3\\\\=\frac{4}{3}\pi \times 4^3\\\\\approx 268.08\ cm^3

#The volume of the water in the glass:

V=\pi r^2 h\\\\=\pi \times 4^2\times 10\\\\\approx 50.27\ cm^2

We then equate the two volumes to the glass' volume to determine the new height of the water:

V=\pi r^2h\\\\(206.08+50.27)=\pi r^2 h\\\\h=318.35/(\pi \times 4^2)\\\\=6.33\ cm

Hence, the glass will not overflow since the new height of the water is less than the height of the glass(6.33 cm<10cm).

4 0
3 years ago
Which set of side lengths forms a right triangle?
pochemuha

Awnser:

9,12,18

Step-by-step explanation:

you have to add the smallest numbers together and it has to be greater that the greatest number.

9+12= 21

21>18

4 0
3 years ago
HELP MATH THIS IS DUE SOON
Oxana [17]

Answer:

600

Step-by-step explanation:

36 times 18=648 but u need to add o the nearest hundred

4 0
2 years ago
Read 2 more answers
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