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3 years ago

If you needed to buy at least 5 water bottles AND at least 8 water bottles, how many water bottles would you need to buy?

Mathematics

2 answers:

34kurt3 years ago

8 0

Answer:

you need 13

Step-by-step explanation:

because you need at least 5 and a 8 water bottles and 8+5 is 13

stiks02 [169]3 years ago

5 0

Answer:

At least 13.

Step-by-step explanation:

Because 8 plus 5 equals 13 -_-

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Write the rule for finding a point translated vertically k units up. 2. Use this rule to find the coordinates for (−3, −6) when

Alex17521 [72]

Answer:

Rule is (x, y+k)

New point is (-3,9)

Step-by-step explanation:

A point translated vertically k units up means the x coordinate remains the same in the translation but the y coordinate is increased by k units

This can be represented mathematically as;

Let;s assume the point to be A with coordinates (x,y) then to get the image of the point under a vertical translation k units up you add k to the y coordinate value.

Given ;

$A=(\frac{x}{y} )\\\\T=(0,k)\\\\A'=(\frac{x}{y} )+(\frac{0}{k} )=(\frac{0+x}{y+k} )\\\\A'=\frac{x}{y+k} =(x,y+k)$

where T is the translation

In the question

Given (-3,-6) and T is (0,5) the new coordinate will be

$=(\frac{-3}{4}) +(\frac{0}{5} )=\frac{-3}{9} =(-3,9)$

8 0

2 years ago

2x - 3y = 9; 2x + y = 13

olga2289 [7]

Answer:

See explanations below

Step-by-step explanation:

Given the simultaneous equations;

2x - 3y = 9... 1

2x + y = 13 ... 2

From 2;

y = 13-2x

Substitute into 1;

2x - 3(13-2x) = 9

2x -39 + 6x = 9

8x - 39 = 9

8x = 9+39

8x = 48

x = 6

Since y = 13-2x

y = 13-2(6)

y = 13-12

y = 1

The soluton to the system of equation is (6, 1)

Given the equations;

99x + 101y = 499; .... 1 * 101

101x + 99 y = 501 ... 2 * 99

______________

9999x + 10,201y = 50,399

9999x + 9801y = 49,599

Subtract

10201y - 9801y = 50399-49599

400y = 800

y = 2

Substitute y = 2 into 1;

From 1;

99x + 101y = 499

99x + 101(2) =499

99x +202 = 499

99x = 499 - 202

99x = 198

x = 198/99

x =2

Hence the solution is (2,2)

For the equations;

49x - 57y = 172 .... * 57

57x - 49y = 252 __ * 49

____________________

2793x -3249y = 9804

2793x - 2401y = 12348

Subtract

-3249y+2401y = 9804-12348

-848y = -2544

y = 3

Substitute into 1;

49x - 57y = 172

49x - 57(3) = 172

49x - 171 = 172

49x = 171+172

49x = 343

x = 7

Hence the solution is (7, 3)

8 0

2 years ago

Oman said that it is impossible to raise a number to the power of 2 and get a value less than the original number. Do you agree

Eva8 [605]

Oman is wrong, if you raise any decimal number less than one to a power of 2 the number just gets smaller

7 0

2 years ago

Suppose the daily customer volume at a call center has a normal distribution with mean 5,500 and standard deviation 1,000. What

lakkis [162]

Answer:

0.0665 = 6.65% probability that the call center will get between 4,800 and 5,000 calls in a day.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean 5,500 and standard deviation 1,000.

This means that $\mu = 5500, \sigma = 1000$