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ddd [48]
3 years ago
6

Evelyn has a first name, 2 middle names, and a last name. In how many different ways could Evelyn arrange the initials of her na

me?
Mathematics
1 answer:
tatyana61 [14]3 years ago
4 0

Answer:

4! = 4×3×2×1= 24

in 24 different ways

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PLEASE HELP ASAP!!! CORRECT ANSWERS ONLY PLEASE!!
Nadya [2.5K]

Answer: B

<u>Step-by-step explanation:</u>

  x³ - 3x²  + 16x - 48 = 0

→ x²(x - 3)   + 16(x - 3) = 0

→ (x² + 16) (x - 3) = 0

→ (x² - (-16)) (x - 3) = 0

→ (x - 4i)(x + 4i)(x - 3) = 0

→ x - 4i = 0    x + 4i = 0   x - 3 = 0

→  x = 4i          x = -4i        x = 3

2 imaginary roots         and 1 real root

6 0
3 years ago
A nutrition laboratory wants to construct a 95% confidence interval for the mean sodium content of "reduced sodium" hot dogs. A
tatuchka [14]

Answer:

n > 96

Therefore, the number of samples should be more than 96 for the width of their confidence interval to be no more than 10mg

Step-by-step explanation:

Given;

Standard deviation r= 25mg

Width of confidence interval w= 10mg

Confidence interval of 95%

Margin of error E = w/2 = 10mg/2 = 5mg

Z at 95% = 1.96

Margin of error E = Z(r/√n)

n = (Z×r/E)^2

n = (1.96 × 25/5)^2

n = (9.8)^2

n = 96.04

n > 96

Therefore, the number of samples should be more than 96 for the width of their confidence interval to be no more than 10mg

6 0
3 years ago
1. What values of a, b, and c would you use in the quadratic formula for the following equation?
Archy [21]
Question (1):
The general formula of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
5x² + 9x = 4
Rearrange the given equation to look the standard one:
5x² + 9x - 4 = 0
Now, compare the coefficients in the given equation with the standard one, you will find that:
a = 5, b = 9 and c = -4

Question (2):
The given expression is:
 -5 + 2x²<span> = -6x 
</span>Rearrange this expression to be in standard form:
2x² + 6x - 5 = 0
This means that:
a = 2
b = 6
c = -5
The roots of the equation can be found using the formula in the attached image.
Substituting in this formula with the given a, b and c, we would find that the correct choice is third one (I have attached the correct choice)

Question (3):
Quadratic formula (the one used in the previous question, also shown in attached images) is the best method to get the solution of any quadratic equation. This is because, putting the equation in standard form, we can simply get the values of a, b and c, substitute in the formula and get the precise solutions of the equation.

Hope this helps :)

8 0
3 years ago
Read 2 more answers
How do you answer rhis
Igoryamba
You answer this problem bye cost i already got my answer though thanks for trying...

5 0
2 years ago
Show twelve in four different ways use words pictures and numbers
Hunter-Best [27]
24/4: 24-12: 12+0: 12/1: 48/4: 72/6:

3 0
2 years ago
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