A display of gift boxes has 1 box in the top row, 3 boxes in the next row, 5 boxes in the next row, and so on. there are 7 rows in all. how many gift boxes are in the display?
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Related Questions
How do i solve 10 + -3 without doing that much work?
I need help pls if u are good at math stuff(-2.2) · (-2) · (–1) · (5) = ?1. 882. 5 1/23. -884. -5 1/2
What are the real and imaginary parts of the complex number? 9+7i
A small bucket holds 2 gallons of water. About how many liters does it hold?
{1,5}
{3,5}
{5}
Answers
The outcomes that fall in A∩B are {5} only.
What do we mean by the intersection of events?
The intersection of two or more events is the number of outcomes that are common to both events. It is represented by an inverted-U sign, '∩'.
How do we solve the given question?
We are said that Ramona is playing a board game with two number cubes.
∴ All possible outcomes when the cubes are rolled by Ramona are:
(1,1) (1,1) (1,1) (1,1) (1,1) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
We are given two outcomes,
A = {the sum of the number cubes is odd}
B = {the sum of the number cubes is divisible by }
When we sum numbers on cubes for each outcome, we get
2 3 4 5 6 7
3 4 5 6 7 8
4 5 6 7 8 9
5 6 7 8 9 10
6 7 8 9 10 11
7 8 9 10 11 12
The outcomes with odd sum are:
(1,2) (1,4) (1,6)
(2,1) (2,3) (2,5)
(3,2) (3,4) (3,6)
(4,1) (4,3) (4,5)
(5,2) (5,4) (5,6)
(6,1) (6,3) (6,5)
∴ A = {3, 5, 7, 9, 11}
The outcomes with sum divisible by 5 are:
(1,4) (2,3) (3,2) (4,1) (4,6) (5,5) (6,4)
∴ B = {5,10}
Now, we check for common terms in A and B to find A∩B.
We only have one common term in A and B, which is 5.
∴ A∩B = {5}
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The possible values you can get in B are:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
A:
3, 5, 7, 9, 11
Therefore A intersection B = {3, 5, 7, 9, 11}
−20
−19
−16
Answers
Answer:
Option A is correct
Step-by-step explanation:
Given the functions:
and
Find the value of
⇒
Replace x with -4x in h(x) we have;
Substitute x = 5 we have;
⇒
Therefore, the value of is, -21
Answers
Answer:
6
Step-by-step explanation:
Given:
Here we can write 36 = 6 * 6 =
[Using the product rule:
^1/2
Now we have to use power rule:
Applying the above rule, we get
=
=
= 6
Therefore, the answer is 6.
In 2017, she was awarded a 2% pay increase on her monthly salary.
Given that in 2017 Alicia worked 45 hours per week for 48 weeks,
work out her average pay per hour for the year.
Answers
Final answer:
To calculate Alicia's average pay per hour for the year, we need to find her total earnings for the year and divide it by the total number of hours she worked.
Explanation:
To calculate Alicia's average pay per hour for the year, we need to find her total earnings for the year and divide it by the total number of hours she worked. In 2016, Alicia earned £1750 per month, so her annual salary would be £1750 x 12 = £21,000.
In 2017, she received a 2% pay increase, which means her monthly salary would be £1750 + 2% of £1750 = £1750 + (£1750 x 0.02) = £1750 + £35 = £1785.
Since Alicia worked 45 hours per week for 48 weeks in 2017, her total number of hours worked for the year would be 45 hours/week x 48 weeks = 2,160 hours. Now, we can calculate her average pay per hour by dividing her total earnings (£1785 x 12) by the total number of hours worked (2,160): £1785 x 12 / 2,160 = £10 per hour.
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AnswerAverage pay per hour 19.15
Step-by-step explanation:
1750 + 2% = 1785 pay increase
1785 x 12 months = 21420 a year
21420 divided by 52 weeks in a year averages to 411.92 weekly
Divide 411.92 by the 45 hours of work is 19.15 per hour
Brainliest please, if correct.
5 and the last digit must be
even.
Answers
Answers
I apologize for the oversight. Let's solve it and provide the answer.
Step-by-step explanation :
1. **Standard Error Calculation :
\[ SE = \frac{\sigma}{\sqrt{n}} \]
\[ SE = \frac{25.3}{\sqrt{215}} \]
\[ SE \approx 1.7292 \]
2. **Z-Score Calculation:**
\[ z = \frac{X - \mu}{SE} \]
\[ z = \frac{197.2 - 195.5}{1.7292} \]
\[ z \approx 0.9836 \]
3. Finding the Probability :
To find the probability that the sample mean is greater than 197.2, we need to find the area to the right of the z-score in the standard normal distribution table.
For \( z \approx 0.9836 \), the area to the left is approximately \( 0.8374 \).
Since we want the area to the right (the probability the sample mean is greater than 197.2), we need to subtract that value from 1 :
\[ P(X > 197.2) = 1 - 0.8374 \]
\[ P(X > 197.2) = 0.1626 \]
Answer : The probability that the sample mean is greater than 197.2 is approximately \( 0.1626 \) or \( 16.26\% \).