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KatRina [158]
3 years ago
11

3. The table below gives information on the number of houses built in three different neighborhoods and in three different decad

es. Which one of the following statements is false?
Mathematics
1 answer:
Eddi Din [679]3 years ago
6 0

Answer:

The correct answer is (D).

​  .

Step-by-step explanation:

The 5 houses in both Oakcrest and 1980s category should not be counted twice. The correct probability is 105/220.

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The height (in ft) of an object over time(in seconds) is modeled by the function h(t)=-6t^2+23t+7. How high is the object after
riadik2000 [5.3K]

About 4.1 seconds. How long was the ball in the air? We are told that t represents time in seconds since the ball was thrown, so it started to be 'in the air' at t = 0 To answer the question, then, we need to know the time when it stopped being in the air. We are told that the ball hit the ground. So that's what happened when it stopped being airborne. We need to relate that event to the mathematics we're working with. What can we say about h , the height of the ball when the ball hits the ground? Answer: The height will be 0 when the ball stops being in the air. Now translate this back to the mathematics: The ball is in the air from t = 0 until the time t when h = 0 . Find the time t that makes h = 0 . That means: solve: − 5 t 2 + 20 t + 2 = 0 We can solve this by solving: 5 t 2 − 20 t − 2 = 0 (Either multiply both sides of the equation by − 1 , or add 5 x 2 − 20 x and − 2 to both sides and then re-write it the other way around) That's a quadratic equation, so try to factor first. But don't spend too much time trying to factor, because not every quadratic is easily factorable and that's OK, because we still have the quadratic formula if we need it. We do need it. t = − ( − 20 ) ± √ ( − 20 ) 2 − 4 ( 5 ) ( − 2 ) 2 ( 5 ) = 20 ± √ 440 10 = 20 ± √ 4 ( 110 ) 10 = 20 ± 2 √ 110 10 = 2 ( 10 ± √ 110 ) 2 ( 5 ) = 10 ± √ 110 5 We can see that 10 < √ 110 < 11 . In fact ( 10 + 1 2 ) 2 = 10 2 + 10 + 1 4 = 110.25 Using 10.25 as an approximation for √ 110 , we get : for the solution t = 10 − √ 110 5 we'll get a negative t . That doesn't make sense. The other solution gives t ≈ 10 + 10.25 5 = 20.5 5 = 4.1 seconds. So the ball was in the air from t = 0 until about t = 4.1 . The elapsed time is the difference, 4.1 seconds.

5 0
2 years ago
Can someone help????
Ulleksa [173]

Range I think I may be wrong ?

6 0
3 years ago
What is the rate of change between (9,-29) and (13,-28)?
tensa zangetsu [6.8K]

Answer:

-20

Step-by-step explanation:

6 0
3 years ago
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Find the value of x.
erastovalidia [21]

Answer:

60 = x

Step-by-step explanation:

180-144 = 36

36+84 = 120

180-120 = 60

7 0
3 years ago
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5. What is an equation of the line in slope-intercept form?
777dan777 [17]

Answer:

y = (2/7)x -12

Step-by-step explanation:

y = mx + b is the standard form of an equation of a straight line in which m is the slope and b is the y-intercept (the value of y when x is zero)..

<u>m</u>=(2/7) and <u>b</u> = -12

y =   <u>m</u>x  + <u>b</u>

y = (<u>2/7</u>)x <u>-12</u>

8 0
3 years ago
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