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meriva
2 years ago
9

Please help!!! Me !!!

Mathematics
1 answer:
marissa [1.9K]2 years ago
8 0

(a) Continuous

(b) 75.5 KM H

(c) 294

(d)

   (i) 89.875 KM H

       (ii) 90.4

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Find the quadratic function that fits the following data. which one function fits.
Oksana_A [137]

Answer:

C

Step-by-step explanation:

The general rule for the quadratic function is

y=ax^2+bx+c

Use the data from the table:

y(50)=130\Rightarrow 130=a\cdot 50^2+b\cdot 50+c\\ \\y(70)=130\Rightarrow 130=a\cdot 70^2+b\cdot 70+c\\ \\y(90)=200\Rightarrow 200=a\cdot 90^2+b\cdot 90+c

We get the system of three equations:

\left\{\begin{array}{l}2500a+50b+c=130\\ \\4900a+70b+c=130\\ \\8100a+90b+c=200\end{array}\right.

Subtract these equations:

\left\{\begin{array}{l}4900a+70b+c-2500a-50b-c=130-130\\ \\8100a+90b+c-2500a-50b-c=200-130\end{array}\right.\Rightarrow \left\{\begin{array}{l}2400a+20b=0\\ \\5600a+40b=70\end{array}\right.

From the first equation

b=-120a

Substitute it into the second equation:

5600a+40\cdot (-120a)=70\Rightarrow 800a=70,\\ \\ a=\dfrac{7}{80},\\ \\ b=-120\cdot \dfrac{7}{80}=-\dfrac{21}{2}=-10.5

So,

2500\cdot \dfrac{7}{80}+50\cdot (-10.5)+c=130\Rightarrow 218.75-525+c=130\\ \\c=130-218.75+525=436.25

The quadratic function is

y=\dfrac{7}{80}x^2-10.5x+436.25\\ \\y=0.0875x^2-10.5x+436.25

4 0
3 years ago
A coin is to be spun 25 times. Let x be the number of spins that result in heads (H). Consider the following rule for deciding w
larisa [96]

Answer:

0.0433

Step-by-step explanation:

Since we have a fixed number of trials (N = 25) and the probability of getting heads is always p = 0.05, we are going to treat this as a binomial distribution.

Using a binomial probability calculator, we find that the probability of obtaining heads from 8 to 17 times is 0.9567 given that the con is fair. The probability of obtaining any other value given that the coin is fair is going to be:

1 - 0.9567 = 0.0433

Since we are going to conclude that the coin is baised if either x<8 or x>17, the probability of judging the coin to be baised when it is actually fair is 4.33%

5 0
3 years ago
Jonathan worked at McDonalds 20 hours per week and earned $195. Use the equation 20h = 195 to find Jonathan's hourly wage.
VARVARA [1.3K]
Jonny earns $9.75 an hours. Divide 195 by 20 to get the answer.
4 0
3 years ago
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Hehe i need help with the whole quiz basically:I
erastova [34]

Answer:

a

Step-by-step explanation:

math

5 0
3 years ago
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PLEASE ANSWER. WILL GIVE BRAINLIST TO THE FIRST THAT ANSWERS
Elza [17]
First you would take both radius' and add them. Once you add them, subtract the sum by 42. that will give you the distance between the gap of the circles. now that you have that distance, add 19 and 11 and your result is your final answer.
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