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Elina [12.6K]
3 years ago
11

What is a quartile of 35, 45, 50, 65,85

Mathematics
1 answer:
Georgia [21]3 years ago
7 0

Answer:

Lower quartile: 21.5

Median: 45

Upper quartile: 57.5

Step-by-step explanation:

pls mark brainliest

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In a blueprint for a house, the scale is 1 inch = 5 feet. In the blueprint, one room
Dimas [21]

for each inch is 5 feet, so for each 0.5 aka 1/2 inch, it would be 2.5 inches

2in: 5+5=10ft

2.5in: 5+5+2.5=12.5ft

or just simply mutiply by 2

2(5)= 10ft

2.5 inches so 2.5(5)=12.5

The dimensions of the actual room are 10 feet by 12.5 feet

5 0
2 years ago
EXAMPLE 5 If f(x, y, z) = x sin(yz), (a) find the gradient of f and (b) find the directional derivative of f at (1, 2, 0) in the
solong [7]

Answer:

<h2>a) f =  sin(yz)i + xzcos(yz)j + xycos(yz)k</h2><h2>b) -2</h2>

Step-by-step explanation:

Given f(x, y, z) = x sin(yz), the formula for calculating the gradient of the function is expressed as ∇f(x, y, z) = fx(x, y, z)i+ fy(x, y, z)j+fz(x, y, z)k where;

fx, fy and fz are the differential of the functions with respect to x, y and z respectively.

a) ∇f(x, y, z) = sin(yz)i + xzcos(yz)j + xycos(yz)k

The gradient of f =  sin(yz)i + xzcos(yz)j + xycos(yz)k

b) Directional derivative of f at (1,2,0) in the direction of v = i + 4j − k is expressed as ∇f(1, 2, 0)*v

∇f(1, 2, 0) = sin(2(0))i +1*0cos(2*0)j + 1*2cos(2*0)k

∇f(1, 2, 0) = sin0i +0cos(0)j + 2cos(0)k

∇f(1, 2, 0) = 0i +0j + 2k

Given v = i + 4j − k

∇f(1, 2, 0)*v (note that this is the dot product of the two vectors)

∇f(1, 2, 0)*v =  (0i +0j + 2k)*(i + 4j − k )

Given i.i = j.j = k.k =1 and i.j=j.i=j.k=k.j=i.k = 0

∇f(1, 2, 0)*v = 0(i.i)+4*0(j.j)+2(-1)k.k

∇f(1, 2, 0)*v = 0(1)+0(1)-2(1)

∇f(1, 2, 0)*v =0+0-2

∇f(1, 2, 0)*v= -2

 

Hence, the directional derivative of f at (1, 2, 0) in the direction of v = i + 4j − k is -2

7 0
3 years ago
Sumiko and Chung are shopping. Chung wants to buy a video game that costs $60, and Sumiko wants to buy a new pair of sunglasses
vovangra [49]

Answer:

1.83

Step-by-step explanation:

First, add the game and glasses. Write down the number you just got. Now, multiply by 0.15.

Take the second away from the first.

Now multiply that by 0.087

Finally, take 20 away

That is how much money you have spent.

Use both savings so they both get a huge meal.

5 0
2 years ago
4/y+2=10/5y solve for y
pantera1 [17]

Answer: y=−1 or y=2

Step-by-step explanation:

8 0
2 years ago
How many 5-letter words can be made using exactly 5 of the letters from
kow [346]

The total number of ways by words are formed is 35 ways.

According to the statement

We have given that the 5 letters and we have to make word from them and the letters are repeated as equal to letters in given words.

And we have to find the possible ways.

So, The given words are:

TEXAS and MEXICO

Here X = 2 and E = 2 and all other words are one time used words.

We can find possible ways by use of combination and permutation.

So,

Total number of ways = 3C_{1} ^{5} + 2C_{2} ^{5}

here 3 because three letters are not repeatable and 2 letters are repeated for 2 times.

So,

Total number of ways = 3C_{1} ^{5} + 2C_{2} ^{5}

Total number of ways = 3(\frac{5!}{1!} ) + 2(\frac{5!}{2!*3!} )

Total number of ways = 3(5) + 2(10)

Total number of ways = 15 + 20

Total number of ways = 35.

So, The total number of ways by letters are formed is 35 ways.

Learn more about combination and permutation here

brainly.com/question/11732255

#SPJ1

3 0
1 year ago
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