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igomit [66]
3 years ago
9

there are 20 children at a library 6 of the children have an average age of five years the remaining children have an average ag

e of 8 years what is the average age of all the children at the library
Mathematics
1 answer:
GrogVix [38]3 years ago
5 0
Remaining children = 20-6=14 
So 14 children have age of 8 years old.

Average age = (6*5+14*8)/20 ≈ 7.1 ≈ 7 years old
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The number of species of coastal dune plants in australia decreases as the latitude, in °s, increases. There are 34 species at 1
Bas_tet [7]

We have been given that the number of species of coastal dune plants in Australia decreases as the latitude, in °s, increases.

Further we know that there are 34 species at 11°s and 26 species at 44°s.

We can express the given information at two ordered pairs as shown below:

(n,l)=(11,34)\text{ and }(n,l)=(44,26)

Let us find slope of the line through these points:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{26-34}{44-11}=\frac{-8}{33}=-0.2424

Therefore, we can write the equation of line in slope intercept form as:

n=-0.2424l+b

Where b is the y intercept, and we can find its value using one of the two points.

34=-0.2424(11)+b\\34=-2.67+b\\b=34+2.67=36.67

Therefore, the required equation of the linear function is:

n=-0.2424l+36.67

4 0
3 years ago
Fill the blank bellow.....
Lemur [1.5K]

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

the first slope is 0 (horizontal line)

second slope is undefined (vertical line)

3 0
2 years ago
2 4/5 - 1 3/10 + 6 7/15
Tomtit [17]

Answer:7.967

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
The Pyraminx is a Rubik's cube-type toy in the shape of a tetrahedron. The Pyraminx shown below has edges 15\,\text{cm}15cm long
____ [38]

Answer:

8.727

Step-by-step explanation:

Since the below edge, d = 15 cm, and the height, h = 12.2 cm, we will use the Pythagorean  theorem to find the distance r.

d^2=r^2+h^2

(15)^2 = r^2+(12.2)^2

r^2 = (15)^2-(12.2)^2=225-148.84=76.16

r=\sqrt{76.16}=8.727

4 0
2 years ago
A kite flier wondered how high her kite was flying. She used a protractor to measure an angle of 15∘ from level ground to the ki
Nataly [62]

Answer:

12.9 yd

Step-by-step explanation:

It helps if you draw a triangle. Draw a horizontal segment. That is the ground. Now at the left end start a new segment that goes up to the right at approximately 15 degrees until it its other endpoint directly above the right endpoint of the horizontal segment. Connect these two endpoints. The vertical side on the right shows the height of the kite. The hypotenuse is the string.

For the 15-deg angle, the height of the triangle is the opposite leg, and the string is the hypotenuse. The trig ratio that relates the opposite leg tot he hypotenuse is the sine.

\sin A = \dfrac{opp}{hyp}

\sin 15^\circ = \dfrac{h}{50~yd}

(50~yd)\sin 15^\circ = h

h = (50~yd)(0.2588)

h = 12.9~yd

6 0
2 years ago
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