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Mumz [18]
3 years ago
8

carley beat the school record for the 400 meter run by 1.3 seconds. If she ran the race in 55.7 seconds, what was the record?

Mathematics
1 answer:
Helen [10]3 years ago
6 0
The record was 54.4 seconds because if you subtract 55.7-1.3 it equals 54.4
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Diego deposited $5,000 at a rate of 6.25 % for 20 years . Find the simple interest and amount of money Diego had in the bank aft
sammy [17]

Answer:

First find the rate for a year .

5000 dollars × 6.25 = 31 250

After you find it multiply it by 20 ( because there are 20 years)

31 250 × 20 = 625000

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The distance of a planet to a rocket in space is modeled by the function d(x)=−x2−7x+17 , where the distance is measured in hund
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Answer:

(0, 1.82)

Step-by-step explanation:

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What number is 0.68 more than 0.44?
natka813 [3]

Answer:

1.12

Step-by-step explanation:

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3 years ago
Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi
miss Akunina [59]

Answer:

\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.

Step-by-step explanation:

1st boat:

Parabola equation:

y=ax^2 +bx+c

The x-coordinate of the vertex:

x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=1\\ \\b=-2a

Equation:

y=ax^2 -2ax+c

The y-coordinate of the vertex:

y_v=a\cdot 1^2-2a\cdot 1+c\Rightarrow a-2a+c=10\\ \\c-a=10

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1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1

Solve:

c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}

Parabola equation:

y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}

2nd boat:

Parabola equation:

y=ax^2 +bx+c

The x-coordinate of the vertex:

x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0

Equation:

y=ax^2+c

The y-coordinate of the vertex:

y_v=a\cdot 0^2+c\Rightarrow c=-7

Parabola passes through the point (-8,1), so

1=a\cdot (-8)^2-7\\ \\64a-7=1

Solve:

a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7

Parabola equation:

y=\dfrac{1}{8}x^2 -7

System of two equations:

\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.

7 0
3 years ago
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A set of mathematics exam scores are normally distributed with a mean of 80.280.280, point, 2 points and a standard deviation of
hichkok12 [17]

Answer:

0.3745

Step-by-step explanation:

Data

mean (\mu): 80

standard deviation (\sigma): 4

Normal distribution table is in figure attached .

Z = \frac{x - \mu}{\sigma
}

Z = (85 - 80)/4 = 1.25

Area below curve = 0.3944

Z = (82 - 80)/4 = 0.5

Area below curve = 0.0199

Proportion of exam scores between 82 and 85?

0.3944 - 0.0199 = 0.3745

5 0
3 years ago
Read 2 more answers
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