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Basile [38]
3 years ago
15

AN ICE CREAM STORE IS CONDUCTING A SURVEY ASKING CUSTOMERS TO RANK THE TOP 5 OUT OF 10 NEW FLAVORS INTRODUCED THIS YEAR. HOW MAN

Y POSSIBLE ARRANGEMENTS EXIST?
Mathematics
1 answer:
katrin2010 [14]3 years ago
3 0
The problem given above can be solved through the concept of permutation because of the importance of the arrangements. This may be solved through calculators directly by keying in,
                                       10P5
That is, the permutation of 10 taken 5. The answer to this permutation is 30,240. 
You might be interested in
In a two digit number, t = the tens digit and u = the ones digit. Which of the expressions below shows the value of its reversal
Leni [432]

10u + t is the expressions shows the value of the reversal of digits in a two digit number, t = the tens digit and u = the ones digit. This can be obtained by multiplying 10 with the tens digit and adding unit digit.

<h3>Which is the required expressions?</h3>

Given that, in a two digit number,

t = the tens digit

u = the ones digit

The expression for the digit will be ,

10×t + u = 10t + u

The value of its reversal,

u = the tens digit

t = the ones digit

10×u + t = 10u + t is the required expression

For example,

37 = 10×3 + 7 = 30 + 7 and its reverse 73 = 10×7 + 3 = 70 + 3

Hence 10u + t is the expressions shows the value of the reversal of digits in a two digit number, t = the tens digit and u = the ones digit.

Learn more about algebraic expressions here:

brainly.com/question/19245500

#SPJ1

4 0
2 years ago
Find the volume of a cylinder with a radius of 5 cm and a height of 10 cm. Then, find the volume of the cylinder if the radius i
kap26 [50]

Answer:

250π

1000π

Step-by-step explanation:

(refer to attached)

volume of cylinder is given by:

V = π r²h,

where r = radius of base and h = height of cylinder

Given r = 5 and h = 10, hence

V = π r²h

V = π (5)²(10)

V = π (25) (10)

V = 250π  (answer)

For the second case, r = 10 cm

V = π r²h

V = π (10)²(10)

V = π (100) (10)

V = 1000π  (answer)

3 0
3 years ago
Read 2 more answers
Moshe has the container shown below on his desk to hold pencils and paper clips. 2 rectangular prisms. One has a length of 4 inc
iren2701 [21]

Answer:

2 inches by 3 inches by 6 inches and 2 inches by 2 inches by 4 inches

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Use Newton's method with initial approximation x1 = 1 to find x2, the second approximation to the root of the equation x4 − x −
drek231 [11]

Answer:

x_{2} = 0.0000

Step-by-step explanation:

The formula for the Newton's method is:

x_{i+1} = x_{i} + \frac{f(x_{i})}{f'(x_{i})}

Where f' (x_{i}) is the first derivative of the function evaluated in x_{i}.

x_{i+1} = x_{i} + \frac{x_{i}^{4}-x_{i}-3}{4\cdot x_{i}^{3}-1}

Lastly, the value of x_{2} is determined by replacing x_{1} with its numerical value:

x_{2} = x_{1} + \frac{x_{1}^{4}-x_{1}-3}{4\cdot x_{1}^{3}-1}

x_{2} = 1.0000 + \frac{1.0000^{4}-1.0000-3}{4\cdot (1.0000)^{3}-1}

x_{2} = 0.0000

8 0
3 years ago
Jada solved the equation Negative StartFraction 4 over 9 EndFraction = StartFraction x over 108 EndFraction for x using the step
GalinKa [24]

Answer:

Jada should have multiplied both sides of the equation by 108.

Step-by-step explanation:

The question is incomplete. Find the complete question in the comment section.

Given the equation -4/9 = x/108, in order to determine Jada's error, we need to solve in our own way as shown:

Step 1: Multiply both sides of the equation by -9/4 as shown:

-4/9 × -9/4 = x/108 × -9/4

-36/-36 = -9x/432

1 = -9x/432

1 = -x/48

Cross multiplying

48 = -x

x = -48

It can also be solved like this:

Given -4/9 = x/108

Multiply both sides by 108 to have:

-4/9 * 108 = x/108 * 108

-4/9 * 108 = 108x/108

-432/9 = x

x = -48

Jada should have simply follow the second calculation by multiplying both sides of the equation by 108 as shown.

7 0
3 years ago
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