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kodGreya [7K]
3 years ago
6

What is the probability that a randomly selected value from the distribution will be less than 2.1 standard deviation from the m

ean
Mathematics
1 answer:
boyakko [2]3 years ago
6 0

Answer:

0.9821

Step-by-step explanation:

Probability that a randomly selected value will be less than 2.1 deviations from the mean ; this means the Zscore = 2.1

Hence, using :

P(Z < 2.1) = 0.9821 (standard normal table

= 0.9821

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When solving for x, what is x squared plus 15 equals -8x
VLD [36.1K]

Answer:

x = - 5, x = - 3

Step-by-step explanation:

Given

x² + 15 = - 8x ( add 8x to both sides )

x² + 8x + 15 = 0 ← in standard form

Consider the factors of the constant term (+ 15) which sum to give the coefficient of the x- term (+ 8)

The factors are 5 and 3, since

5 × 3 = 15 and 5 + 3= 8, thus

(x + 5)(x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x + 3 = 0 ⇒ x = - 3

5 0
3 years ago
Adam proposes that his mother changes his allowance according to the
olga2289 [7]

Answer:

a.) $3.20

b.) $102.40

$3,276.80

Step-by-step explanation:

0.2 times 2 five times is 3.2

0.2 times 2 ten times is 102.4

0.2 times 2 fifteen times is 3,276.8

7 0
3 years ago
Which strategy is the most appropriate strategy to solve 5x^2+30x ?
guapka [62]
B. Square root property
4 0
3 years ago
Transform the given standard form into vertex form and determine vertex.
Natalka [10]

Answer:

1. the vertex form of your function is f(x)= (x+-2)^2+-7

The vertex is at (2,-7)

2. So, the vertex form of your function is f(x)= (x+-7/2)^2 -41/4

The vertex is at (7/2, -41/4)

Step-by-step explanation:

7 0
3 years ago
A plane leaves at 11:22 am .and arrived at 3:13 pm. how long was the flight?
ale4655 [162]

Answer:

3 hours and 51 minutes

Step-by-step explanation:

Take the ending time and subtract the start time

3:13pm - 11:22am

Remember that pm means aft 12 o'clock in the after noon so add 12 hours

12+3:13 - 11:22

15:13 - 11:22

We are subtracting more minutes than we have so we have to borrow from the hours

1 hour = 60 minutes

14 : 60+13 - 11:22

14:73 - 11:22

3: 51

3 hours and 51 minutes

7 0
3 years ago
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