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kondaur [170]
2 years ago
9

Eruptions of the Old Faithful geyser have duration times with a mean of 245.0 sec and a standard deviation of 36.4 sec (based on

sample data). One eruption had a duration time of 110 sec.
Mathematics
1 answer:
Dahasolnce [82]2 years ago
4 0

Answer:

Difference between time = -135 sec

Step-by-step explanation:

Given:

Mean eruption = 245 sec

Standard deviation = 36.4 sec

One eruption had a duration time of 110 sec

Find:

Difference between duration time of 110 sec and mean = ?

Computation:

⇒ Difference between time = One eruption duration time - Mean

⇒ Difference between time = 110 sec - 245 sec

⇒ Difference between time = -135 sec

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Charra [1.4K]
If 2 + 5i is a zero, then by the complex conjugate root theorem, we must have its conjugate as a zero to have a polynomial containing real coefficients. Therefore, the zeros are -3, 2 + 5i, and 2 - 5i. We have three zeros so this is a degree 3 polynomial (n = 3).
f(x) has the equation
                        f(x) = (x+3)(x - (2 + 5i))(x - (2 - 5i))
If we expand this polynomial out, we get the simplest standard form
                        f(x) = x^3-x^2+17x+87
Therefore the answer to this question is f(x) = x^3-x^2+17x+87
5 0
3 years ago
Alex buys 24 apples and when he opens it 6 apples are bad whats the perecentage of the bad apples
marin [14]
It is 25 percent because 6 goes into 24 4 times
8 0
3 years ago
Read 2 more answers
In a four year period, about 80,000 acres of coastal wetlands in the United States are lost each year. What integer represents t
klemol [59]

Answer:

-320000

Step-by-step explanation:

Given

Lost Land = 80,000 acres yearly

Duration 4 years

Required

The total change

Represent the total change with y;

y is calculated as thus;

y = Lost\ Land * Duration

y = -80,000 acres * 4

y = -320000\ acres

<em>Hence, a total of 320000 acres were lost during the period</em>

7 0
3 years ago
Y=-x^2+20x-64 what is the max height
Inessa [10]

Answer:

36

Step-by-step explanation:

The maximum height is the y-coordinate of the vertex

given a quadratic in standard form : ax² + bx + c : a ≠ 0

then the x-coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = - x² + 20x - 64 is in standard form

with a = - 1, b = 20 and c = - 64, hence

x_{vertex} = - \frac{20}{-2} = 10

substitute x = 10 into the equation for y

y = - (10)² + 20(10) - 64 = 36 ← max height


8 0
3 years ago
Which equation demonstrates the multiplicative identity property?
dedylja [7]

Answer: Further explanation

There are several number operations that involve multiplication:

1. commutative

2. associative

3. closed

Multiplication between integers will produce integers too

4. distributive property

* addition

* substraction

5. identity

The multiplicative identity property is a multiplicative property in mathematics where each number multiplied by 1 will produce the original number or can be stated simply  :

"The product of any number and one is that number"

So The Multiplicative Identity is 1

can be stated in the formula:

From the available answer choices

a) (- 3 + 5i) + 0 = -3 + 5i

this is an addition operation and not multiplication while O is an identity in the sum operation, so the statement is false

b) (-3 + 5i) (1) = -3 + 5i

this is a multiplication operation and 1 is a Multiplicative Identity of multiplication, so the statement is true

c) (-3 + 5i) (-3 + 5i) = -16-30i

d) (-3 + 5i) (-3 + 5i) = 16 + 30i

choice c and is a multiplication factor, so the statement is false

Step-by-step explanation:

5 0
3 years ago
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