A histogram is a graphical representation of data. A histogram is uniform when it forms almost a straight, horizontal line. It is symmetric when it forms a bell shape, equal parts to both sides. It is skewed when most of the data falls to the left or right.
With reference to the image attached below, a histogram is uniform if it forms a straight line, symmetrical if it forms a bell-shaped curve, and skewed.
When a histogram is uniform, it appears like a straight line is formed. When the histogram is symmetrical, it forms a normal bell-shaped curve as shown in the image attached below.
Also, the image attached below shows how a skewed histogram will appear like.
In summary, a histogram is uniform if it forms a straight line, symmetrical if it forms a bell-shaped curve, and skewed as shown in the image below.
Learn more about skewed, uniform, and symmetrical histogram on:
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Answer:
30-60-90 triangle
Angle BCD = 60
Hypotenuse is 2 times the length of short leg
The long leg is times the short leg
BC = 20
Step-by-step explanation:
I think the explanations are in the questions.
You need to memorize the relationships
Gareth has $2,000 to invest. Putting the money in a savings account at his local bank will earn him 2.2% annual interest.
Interest earned in local bank = 2000 * 22.2% = 2000 * 0.022 = 44
Putting the money in an online savings account will earn him 4.85% annual interest
Interest earned in online account = 2000 * 4.85% = 2000 * 0.0485 = 97
He will be charged $3 every time he makes an ATM withdrawal.
In online account, the interest is 97 . If he withdraws 18 times then
Total ATM fee is 18 * 3= 54 . so 97 - 54 = 43
43 is lower than 44 that is interest of local account.
Therefore, 18 ATM withdrawals make local savings account to be a better deal than the online savings account every year.
Answer:
Gareth should make 18 ATM withdrawals every year for better deal.
Step-by-step explanation:
Consider the provided information.
Gareth has $2,000 to invest and local bank will earn him 2.2% annual interest.
The amount earned by local bank is:
The money in an online savings account will earn him 4.85% annual interest, but he will be charged $3 every time he makes an ATM withdrawal.
The amount earned by online account
Savings account has no ATM withdrawal charges but online savings account charge $3.00 per withdrawal.
Let x is the number of times he withdrawal money.
Hence, Gareth should make 18 ATM withdrawals every year for better deal.
4x² + 3x - 10
First, choose a form with appropriate signs.
Then, fill in the blanks with numbers to be used for grouping.
Finally, show the factorization.
Form:
o
Ax? +
1 x + x - 10
Х
$
4x
+
x - l * - 10
4x?
[ x + x - 10
4x?
x - 10
Factorization:
Answer:
(4x - 5)(x + 2).
Step-by-step explanation:
4x^2 + 3x - 10
4 * 10 = -40
We need 2 numbers whose product is -40 and whose sum is +3.
Theses are = - 5 and + 8.
So we write:
4x^2 + 8x + -5x - 10
= 4x(x + 2) - 5(x + 2)
= (4x - 5)(x + 2).
Write N as a product of powers of its prime factors.
N = 5^(10) × 2^(14) × 3
This is about prime factors
By definition, a prime factor is a factor of a number and that factor is also a prime number.
A prime number is one that is divisible by only itself and 1.
The number we have is; 480 × 10^(9)
Now, let's list the prime factors or 480 and they are;
2, 3, 5
Now, using these prime factors alone to get 480, we have;
5 × 3 × 2 × 2 × 2 × 2 × 2 = 480
In powers, gives;
5 × 3 × 2^(5)
Now,the 10^(9) with the 480 can also be expressed in terms of it's prime factors which are 2 and 5 as;
(5 × 2)^(9)
Expanding this gives; 5^(9) × 2^(9) = 10^(9)
Thus;
480 × 10^(9) = 5 × 3 × 2^(5) × 5^(9) × 2^(9)
This gives;
5^(10) × 2^(14) × 3
Read more at; brainly.com/question/4853862
Answer:
I got 5^10 x 2^14 x 3
Step-by-step explanation:
1. Do a tree to find 480 as a product of its prime factors
2. You should get 480= 5x2x3x2x2x2x2
3. 10 expressed as a product of its prime factors is 5x2
4. so 10^9 expressed as a product of its prime factors would be
5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2
5. You can then write out 480x10^9 as a product of its prime factors
5x2x3x2x2x2x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2x5x2
6. change this to use powers
5^10 x 2^14 x 3
10–25 years 10 5 20 35
26–40 years 15 10 10 35
41–55 years 20 10 0 30
Total 45 25 30 100
What is the probability (rounded to the nearest whole percent) that a randomly selected person is 10 to 25 years old or prefers drinking rootbeer?
60%
55%
10%
5%