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Doss [256]
3 years ago
10

Eva sees a dolphin 3.23.23, point, 2 meters below sea level and a bird \dfrac{47}{10} 10 47 ​ start fraction, 47, divided by, 10

, end fraction meters above sea level. Which of the expressions represents the vertical distance between the dolphin and the bird?
Mathematics
2 answers:
soldi70 [24.7K]3 years ago
8 0

Answer:

47/10 - 3.2

Step-by-step explanation:

Given

Dolphin = 3.2

Bird = 47/10

Required

What is the vertical distance between both

Using a vertical scale;

Represent the bird "above sea level" position with positive and dolphin at "below sea level" position with negative.

The vertical distance between them is as follows;

Distance = +[Above The Sea] - [Below The Sea]

Distance = +47/10 - 3.2

Distance = 47/10 - 3.2

Hence, the vertical distance between both is 47/10 - 3.2

Harlamova29_29 [7]3 years ago
4 0

Answer:

|47/10 - 3.2|

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PLEASE HELP I WILL MARK YOU AS BRAINLEST
denpristay [2]

Answer:

(i) Five number summary: Minimum value = 1, Q_1=18,Median=18.5, Q_3=20.5, Maximum value = 26.

(ii) IQR = 2.5, upper fence = 24.25 and lower fence = 14.25.

(iii) 26 is an outlier of the data.

Step-by-step explanation:

The given data set is

19, 18, 23, 18, 18, 26, 19, 16, 20, 18, 17, 21

Arrange the data set in ascending order.

16, 17, 18, 18, 18, 18, 19, 19, 20, 21, 23, 26

Divide the data set in 4 equal parts.

(16, 17, 18), (18, 18, 18), (19, 19, 20), (21, 23, 26)

Minimum value = 16

Q_1=\frac{18+18}{2}=18

Median=Q_2=\frac{18+19}{2}=18.5

Q_3=\frac{20+21}{2}=20.5

Maximum value = 26

The inter quartile range (IQR) of the data is

IQR=Q_3-Q_1=20.5-18=2.5

Upper fence :

Q_3+1.5(IQR)=20.5+1.5(2.5)=24.25

Lower fence :

Q_1-1.5(IQR)=18-1.5(2.5)=14.25

If the any element of the data set lies out side the upper fence and lower fence, then it is called an outlier.

26 ∉ [14.25, 24.25]

Therefore, 26 is an outlier of the data.

4 0
3 years ago
Read 2 more answers
Find the measure of x.<br> X<br> 55°<br> 80<br> X<br> = [ ?<br> ]<br> Round to the nearest tenth.
NARA [144]
<h3>Answer:  139.5</h3>

Work Shown:

cos(angle) = adjacent/hypotenuse

cos(55) = 80/x

x*cos(55) = 80

x = 80/cos(55)

x = 139.4757 approximately

x = 139.5

3 0
3 years ago
Read 2 more answers
Line segments JK and JL in the xy-coordinate plane both have a common endpoint J (-4,11) and midpoints an M1 (2,16) and M2 (-3,5
Arisa [49]

Answer:

12.1  

Step-by-step explanation:

The dashed line joining M₁ and M₂ is the hypotenuse of a right triangle as shown in red below.

The base of the triangle is

x₂ - x₁ = 2 - (-3) = 2+ 3 = 5

The height of the triangle is

y₂ - y₁ = 16 - 5 = 11

We can now use Pythagoras' theorem to calculate distance between the two midpoints.

x² = 5² + 11² = 25 + 121 = 146

x = √146 = 12.1

The distance between M₁ and M₂ is 12.1.

8 0
3 years ago
Explain what a, h, and k do to transform the following equation. Be sure to mention the shift or transformation each variable do
dangina [55]

Answer:

a: vertical stretch

h: horizontal translation (remember not to get signs mixed up!)

k: vertical translation

3 0
3 years ago
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Please help Need help
Anettt [7]
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where 
m=slope of line
(x0,y0) is a point through which the line passes.

We know that the line passes through A(3,-6), B(1,2)

All options have a slope of -4, so that should not be a problem.  In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.

So we can check which line passes through which point:

a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3)  means that line passes through A(3,-6) => ok

b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
   ****** this equation is not the line passing through A & B *****

c. y=-4x+6  subtract 2 from both sides (to make the y-coordinate 2)
   y-2 = -4x+4, rearrange
   y-2 = -4(x-1)  
   which means that it passes through B(1,2), so ok

d. y-2=-4(x-1)
   this is the same as the previous equation, so it passes through B(1,2), 
   this equation is ok.

Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
   
8 0
3 years ago
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