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Yakvenalex [24]
3 years ago
14

What number is missing from the data set if the mean is 16? 14 12 19 X

Mathematics
1 answer:
Leya [2.2K]3 years ago
7 0

Answer:

19

Step-by-step explanation:

16*4= 64 total

64-12-19-14=19

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Can you always use grouping to factor
Softa [21]

Answer:

No

Step-by-step explanation:

it's not always possible to factor a quadratic expression of this factoring by grouping. The method doesn't work when an expression cannot be factored as (Ax+B)(Cx+D) where A, B, C and D are integrers.

In that case, you should use other methods.

6 0
3 years ago
Read 2 more answers
Extension question (provide a full explanation of your method(s):
Volgvan

Answer:

Ann has little chance to win if she is presented with 4 counters.

Ann can always win from a pile of 6 counters.

(both are explained below)

Step-by-step explanation:

If Ann  is presented with 4 counters, and

1. if she takes out 3, she will lose since the opponent will  pull out 1 and the last one.

2. if she takes 2 her opponent will take out 1 and she can't pull out the last 1 since her opponents last move was to pull out 1  counter so she will lose.

3. If she takes out 1 and her opponent takes out 3 in the next move she loses.

but if instead of 3 her opponent takes out 2 and in the last move Ann takes out the last 1  then she will win.

So, If Ann is presented with 4 counters she has little chance to win provided in the move just before, her opponent didn't move 1 counter.

Now,

if there is 6 counters to Ann, and

1., if Ben's  previous move was 1 then Ann can win if she takes out 3 or 2.

If she takes out 3 Ben can take out 1 or 2 and in the last move she will take out 2 or 1 (respectively) and winning the game.

If she takes out 2 Ben can  take out 1 or 3 and in the last move Ann wins by pulling out 3 or 1 respectively.

2. if Ben's  previous move was 2 then Ann can win if she takes out 1 or 3.

If she takes out 1 Ben can take out 2 or 3 and in the last move she will take out 3 or 2(respectively) and winning the game.

If she takes out 3 Ben can  take out 1 or 2 and in the last move Ann wins by pulling out 2 or 1 respectively.

2. if Ben's  previous move was 3 then Ann can win if she takes out 1 or 2.

If she takes out 1 Ben can take out 2 or 3 and in the last move she will take out 3 or 2(respectively) and winning the game.

If she takes out 2 Ben can  take out 1 or 3 and in the last move Ann wins by pulling out 3 or 1 respectively.

 

 

7 0
4 years ago
Please help me with these two questions
melisa1 [442]

Hi! It will be a pleasure to help you finding the solution to this problem, so let's solve each part:

<h2>PART 1.</h2><h3>Finding the correct expression.</h3><h3>Correct answer:</h3>

\boxed{A. \ 1.50h+4}

From the problem, we know the following data of the problem:

  • Laval parked at the beach.
  • Laval paid a fixed price of $4 for a pass.
  • Laval paid $1.50 for each hour.

Our goal is to find the the expression for the total cost for parking at the beach for h hours. So:

Step 1: Since we have a fixed price, this value will appear in our expression:

4

Step 2: Since Laval paid $1.50 for each hour, this can be represented as the following expression:

1.50h

Finally, we can write total cost (C) as the sum of these two expressions:

C=1.50h+4

Finally, our correct option is A:

\boxed{1.50h+4}

<h2>PART 2.</h2><h3>Finding h.</h3><h3>Correct answer:</h3>

5 hours

Here we have to find how many hours Laval spent at the beach knowing that he paid a total amount of $11.50. From the previous part, we know that our expression is:

C=1.50h+4 \\ \\ For \ C=11.50 \\ \\ 11.50=1.50h+4 \\ \\ Subtracting \ 4 \ from \ both \ sides: \\ \\ 11.50-4=1.50h+4-4 \\ \\ 7.5=1.50h \\ \\ Dividing \ both \ sides \ by \ 1.50 \\ \\ h=\frac{7.5}{1.50}=5

Finally, he spent 5 hours at the beach

6 0
4 years ago
Ernie Rolph deposits $4500 at 2% annual simple interest for 1 year. How much interest will he earn?
vaieri [72.5K]

Answer: the amount of interest that he would earn is $90.

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the amount of money deposited.

P represents the principal or amount of money deposited.

R represents interest rate on the deposit.

T represents the duration of the deposit in years.

From the information given,

P = $4500

R = 2%

T = 1 year

Therefore,

I = (4500 × 2 × 1)/100

I = $90

8 0
3 years ago
When a home delivery meal service started they prepared and delivered 320 meals. One year later the service delivered 576 meals.
oksian1 [2.3K]
576-320=256

256/576 x100= 44.4% or 44% rounded off.
5 0
3 years ago
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