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3 years ago

What does "place value" mean? Give specific examples of systems that use place value and those that do not.

Mathematics

1 answer:

zaharov [31]3 years ago

6 0

Answer:

Place value can be defined as the value represented by a digit in a number on the basis of its position in the number.

Step-by-step explanation:

In the number 456, the "5" has a face value of 5. Value = The place value of the digit times its face value. Example: Find the value of the digits 6, 8 and 4 in the number 684.

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It is estimated that, during the past year, 27% of all adults visited a therapist and 46% of all adults used non-prescription an

coldgirl [10]

Answer:

(a) The probability of an adult using non-prescription antidepressants given that he visited the therapist is 0.78.

(b) The probability of an adult visited the therapist given that he was using non-prescription antidepressants is 0.46.

Step-by-step explanation:

Conditional probability of an event X given that another event Y has already occurred is:

$P(X|Y)=\frac{P(X\cap Y)}{P(Y)}$

Let A = an adult visited the therapist and B = an used non-prescription antidepressants.

Given:

P (A) = 0.27

P (B) = 0.46

P (A ∩ B) = 0.21

(a)

Compute the probability that a randomly selected adult who visited a therapist during the past year also used non-prescription antidepressants as follows:

$P(B|A)=\frac{P(A\cap B)}{P(A)} =\frac{0.21}{0.27} =0.77778\approx0.78$

Thus, the probability of an adult using non-prescription antidepressants given that he visited the therapist is 0.78.

(b)

Compute the probability that a randomly selected adult visited a therapist during the past year, given that he or she used non-prescription antidepressants as follows:

$P(A|B)=\frac{P(A\cap B)}{P(B)} =\frac{0.21}{0.46} =0.4565\approx0.46$

Thus, the probability of an adult visited the therapist given that he was using non-prescription antidepressants is 0.46.

5 0

3 years ago

WILL GIVE BRAINIEST, HELP ME ASAP, how do I solve this? What is x?

melomori [17]

Answer:

x = 8

Step-by-step explanation:

As the triangle has 2 congruent angles, this means that their corresponding sides are of equal measure.

Therefore, -4 + 2x = 12

Add 4 to each side: 2x = 16

Divide both sides by 2: x = 8

3 0

2 years ago

Read 2 more answers

when each edge of a cube is decreased by 1 cm, its volume is decreased by 91 cm^3 .Find the length of the a side of the original

Leokris [45]

Step-by-step explanation:

the original side length is x.

the volume of a block is length × width × height.

so, for a cube with all sides being equal, the volume in our case is x³ (x × x × x).

now, with the same formula but with every side shortened by 1 cm we get

(x-1)(x-1)(x-1) = x³ - 91 (the original volume minus 91)

now, we have to do the multiplications.

(x-1)(x-1) = x² - 2x + 1

(x²-2x+1)(x-1) = x³ - x² - 2x² + 2x + x - 1 = x³ -3x² + 3x -1

x³ - 3x² + 3x - 1 = x³ - 91

-3x² + 3x = -90

-x² + x = -30

x² - x = 30

x² - x - 30 = 0

the general solution to such a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = -1

c = -30

x = (1 ± sqrt((-1)² - 4×1×-30))/(2×1) =

= (1 ± sqrt(1 + 120))/2 = (1 ± sqrt(121))/2 =

= (1 ± 11)/2

x1 = (1 + 11)/2 = 12/2 = 6

x2 = (1 - 11)/2 = -10/2 = -5

a negative number does not make any sense for a side length, so our solution is x = 6 cm.

the original side length of the cube is 6 cm.

to check :

6³ = 216

(6-1)³ = 5³ = 125

216 - 125 = 91

perfect.

8 0

2 years ago

One slice of cheese pizza contains 310 calories. A medium-size orange has one-fifth that number of calories. How many calories a

I am Lyosha [343]

The medium sized orange would have 62 calories. To divide by 1/5, which in decimal form is 0.2, you just multiply 310 by 0.2, therefore, giving you 62. Hope this helps!

7 0

3 years ago

Read 2 more answers

Jack and Jill each bought 100 pounds of cashews. Jack divided his cashews into 23 equal amounts and put them in paper bags. Jill

sladkih [1.3K]

Answer: Jack

Step-by-step explanation:

100÷2=50

50÷23=2.1739130435

50÷18=2.7777.....8

3 0

3 years ago