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4 days ago

Which of these examples is an error of addition by one?

Mathematics

2 answers:

tester [8.8K]4 days ago

8 0

My response will be B because 38,273+51,425=89698.

Inessa [9K]4 days ago

4 0

The answer is B. 38,273 + 51,425 equals 89,798. Step-by-step explanation: Let's verify each sum by adding up their respective places. A: It's accurate. B: Here, when adding the digits in the hundredth place, we get 6 instead of 7. Therefore, this is an example of an addition error by one. It is indeed accurate. C: It's accurate. D: It's also accurate.

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Create a pattern for the rule a x 3 + 2

Inessa [9000]

A sequence for this rule can be established by beginning with the number one and consistently applying the rule to each following number: 1 x 3 + 2 = 5, 5 x 3 + 2 = 17, 17 x 3 + 2 = 53, etc.

3 0

4 days ago

Pat had 9 flowerpots, and she wants to plant a different type of flower in each one. There are 11 types of flowers available at

PIT_PIT [9117]

<span>In this situation, a combination approach will be applied since the sequence is irrelevant and each flower can only be chosen once. Given that there are 11 flowers and 9 flowerpots available, the number of potential combinations can be represented as 11C9 or computed as 11! / {9! (11-9)!}. Thus, the total number of distinct combinations amounts to 55.</span>

7 0

21 day ago

Read 2 more answers

Ruben bought 6 new books for his collection. This increased his collection by 12%. How many books did he have before his purchas

tester [8842]

Response: Ruben initially possessed 50 books before making any purchases.

Explanation in steps: Ruben's acquisition of 6 new books led to a 12% increase in his collection.

We aim to determine the quantity of books Ruben had prior to his recent purchases.

Let x represent the original count of books Ruben held before buying more.

Based on the provided data, we derive the following equation:

$x+6=x+12\%\times x\\\\\\\Rightarrow 6=\dfrac{12}{100}x\\\\\\\Rightarrow 6=\dfrac{3x}{25}\\\\\\\Rightarrow 3x=150\\\\\Rightarrow x=\dfrac{150}{3}\\\\\Rightarrow x=50.$

Consequently, the original number of books Ruben had before making additional purchases equals 50.

4 0

11 days ago

The chance of winning a certain game at a carnival is 2 in 5. If Andy plays the game 12 times, what is the probability that he l

PIT_PIT [9117]

Answer:

There is a 1.5267% chance that he loses AT MOST 3 times.

Step-by-step explanation:

Each game Andy plays has only two outcomes: a win or a loss. The probability of winning doesn’t depend on previous games, leading us to use the binomial probability distribution for this situation.

Binomial probability distribution

This distribution calculates the probability of achieving exactly x successes in n trials with only two possible outcomes for X.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

Where $C_{n,x}$ signifies the various combinations of x objects from a set of n elements, calculated using:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p represents the likelihood of X occurring.

The winning probability for a certain carnival game is 2 out of 5.

This implies a losing chance of (5-2) in 5, equaling 3 out of 5.

Thus, $p = \frac{3}{5} = 0.6$

Considering 12 games:

Consequently, $n = 12$ .

What probability is there that he loses AT MOST 3 times?

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)$ .

Where:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{12,0}.(0.6)^{0}.(0.4)^{12} = 0.000017$

$P(X = 1) = C_{12,1}.(0.6)^{1}.(0.4)^{11} = 0.000302$

$P(X = 2) = C_{12,2}.(0.6)^{2}.(0.4)^{10} = 0.002491$

$P(X = 3) = C_{12,3}.(0.6)^{3}.(0.4)^{9} = 0.012457$

$P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.000017 + 0.000302 + 0.002491 + 0.012457 = 0.015267$

The likelihood of losing AT MOST 3 times is 1.5267%.

6 0

16 days ago

Tia Veronica Pam and Lily are sisters. Tia is eight years old and she’s two years older than Pam. Pam is five years younger than

Svet_ta [9500]

Answer:

Pam (6 years), Tia(8 years), Veronica(11 years), Lily (15 years)

Step-by-step explanation:

Tia's age is 8 years

______________________________________________

Since Tia is 2 years senior to Pam

this can be expressed as

Pam's age + 2 years = Tia's age

Pam's age + 2 years = 8 years

Thus, Pam's age is 8 years- 2 years = 6 years

______________________________________________

As Pam is five years younger than Veronica

it can be concluded that Veronica's age is Pam's age plus 5 years

In mathematical terms

Pam's age + 5 years = Veronica's age

6 years + 5 years = Veronica's age

Thus, Veronica's age = 11 years

______________________________________________

Since Veronica is four years younger than Lily

it can be expressed that Veronica's age is (Lily's age - 4 years)

Mathematically

Veronica's age = Lily's age - 4 years

11 years = Lily's age - 4 years

Therefore, Lily's age = 11 years + 4 years = 15 years

Lily's age = 15 years

______________________________________________

If we arrange the ages from youngest to oldest, we have

Pam is 6 years old

Tia is 8 years old

Veronica is 11 years old

Lily is 15 years old

Ranking the sisters from youngest to oldest

Pam, Tia, Veronica, Lily

3 0

5 days ago