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dybincka [34]
4 years ago
11

The Martinez family visit the aquarium and saw 483 salt water fish and 358 freshwater fish later that month workers moved 139 fi

sh to a new aquarium how many fish we Remained
Mathematics
1 answer:
VARVARA [1.3K]4 years ago
6 0

Answer:

702

Step-by-step explanation:

The total number of Fish in the aquarium is got by adding up the

Number of Salt Water Fish, and

Number of Fresh water Fish

Number of Salt water Fish = 483

Number of Fres hwater Fish = 358

Total Fish in Aquarium = 483 + 358 = 841

Later, 139 were moved to a new aquarium, the number of fish remaining is 841 MINUS 139. That is:

841 - 139 = 702 fish remaining now

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Serhud [2]
36! goodluck hope it good
8 0
2 years ago
What is the value of X in the triangle below to the nearest degree? The triangle is not drawn to scale. I selected an answer but
11Alexandr11 [23.1K]

Answer:

x = 25

Step-by-step explanation:

To find the value of x we use the formula:

tan x° = opposite side /adjacent side

Opposite Side = 8

Adjacent Side = 17

tan x° = 8/17

tan x° = 0.4705882352941

Tan^{-1} of 0.4705882352941

x° = 25

4 0
4 years ago
Suppose that X is a random variable with mean 30 and standard deviation 4. Also suppose that Y is a random variable with mean 50
Vladimir79 [104]

Answer:

a) Var[z] = 1600

    D[z] = 40

b) Var[z] = 2304

    D[z] = 48

c) Var[z] = 80

    D[z] = 8.94

d) Var[z] = 80

    D[z] = 8.94

e) Var[z] = 320

    D[z] = 17.88

Step-by-step explanation:

In general

V([x+y] = V[x] + V[y] +2Cov[xy]

how in this problem Cov[XY] = 0, then

V[x+y] = V[x] + V[y]

Also we must use this properti of the variance  

V[ax+b] = a^{2}V[x]

and remember that

standard desviation = \sqrt{Var[x]}

a) z = 35-10x

   Var[z] = 10^{2} Var[x] = 100*16 = 1600

   D[z] = \sqrt{1600} = 40

b) z = 12x -5

   Var[z] = 12^{2} Var[x] = 144*16 = 2304

   D[z] = \sqrt{2304} = 48

c) z = x + y

   Var[z] =  Var[x+y] = Var[x] + Var[y] = 16 + 64 = 80

   D[z] = \sqrt{80} = 8.94  

d) z = x - y

   Var[z] =  Var[x-y] = Var[x] + Var[y] = 16 + 64 = 80

   D[z] = \sqrt{80} = 8.94

e) z = -2x + 2y

   Var[z] = 4Var[x] + 4Var[y] = 4*16 + 4*64 = 320

  D[z] = \sqrt{320} = 17.88

   

7 0
3 years ago
What is the length of BC , rounded to the nearest tenth?
Arte-miy333 [17]

Step 1

In the right triangle ADB

<u>Find the length of the segment AB</u>

Applying the Pythagorean Theorem

AB^{2} =AD^{2}+BD^{2}

we have

AD=5\ units\\BD=12\ units

substitute the values

AB^{2}=5^{2}+12^{2}

AB^{2}=169

AB=13\ units

Step 2

In the right triangle ADB

<u>Find the cosine of the angle BAD</u>

we know that

cos(BAD)=\frac{adjacent\ side }{hypotenuse}=\frac{AD}{AB}=\frac{5}{13}

Step 3

In the right triangle ABC

<u>Find the length of the segment AC</u>

we know that

cos(BAC)=cos (BAD)=\frac{5}{13}

cos(BAC)=\frac{adjacent\ side }{hypotenuse}=\frac{AB}{AC}

\frac{5}{13}=\frac{AB}{AC}

\frac{5}{13}=\frac{13}{AC}

solve for AC

AC=(13*13)/5=33.8\ units

Step 4

<u>Find the length of the segment DC</u>

we know that

DC=AC-AD

we have

AC=33.8\ units

AD=5\ units

substitute the values

DC=33.8\ units-5\ units

DC=28.8\ units

Step 5

<u>Find the length of the segment BC</u>

In the right triangle BDC

Applying the Pythagorean Theorem

BC^{2} =BD^{2}+DC^{2}

we have

BD=12\ units\\DC=28.8\ units

substitute the values

BC^{2}=12^{2}+28.8^{2}

BC^{2}=973.44

BC=31.2\ units

therefore

<u>the answer is</u>

BC=31.2\ units

8 0
3 years ago
Read 2 more answers
There were 3232 volunteers to donate blood. Unfortunately, nn of the volunteers did not meet the health requirements, so they co
Degger [83]

Answer:

\frac{470}{32-n}  

Step-by-step explanation:  

We have been given that there were 32 volunteers to donate blood. Unfortunately, n of the volunteers did not meet the health requirements, so they couldn't donate.            

So the number of volunteers that donated blood will be 32-n.

We are also told that the rest of the volunteers donated 470 milliliters each.

To find the units of blood donated by each of the volunteers we will divide total units of donated blood by number of volunteers, who donated the blood (32-n).

\text{Millimeters of blood donated by each volunteer}=\frac{470}{32-n}  

Therefore, each of the volunteers donated \frac{470}{32-n} millimeters of blood.  

5 0
3 years ago
Read 2 more answers
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