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Triss [41]
3 years ago
15

The equation y = -16t^2 - 60t + 54 describes the height (in feet) of a ball thrown downward at 60 feet per second from a height

of 54 feet from the ground. In how many seconds will the ball hit the ground? Express your answer as a decimal rounded to the nearest hundredth.
Pleeease quickly
Mathematics
1 answer:
Yuliya22 [10]3 years ago
7 0
0 = -16t^2 -60t +54
t = 0.75 seconds
solving by the quadratic equation or graphing calculator or completing the square.
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Write a linear equation in slope intercept form to model a tree 4 feet tall the grows 3 inches per year
Hoochie [10]
Y = 3x + 48  where x is your number of years. I got 48 by multiplying 4 and 12 since there are 12 inches in a foot. (:
7 0
3 years ago
Select True or False from each pull-down menu, depending on whether the corresponding statement is true or false.
Schach [20]

Answer:

1) FALSE

2) FALSE

3) TRUE

4) TRUE

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part 1

The mean and standard deviation of a normally distributed random variable which has been standardized are one and zero, respectively.

The mean and the deviation for  the normal standard distribution are:

\mu=0, \sigma =1

So then that's FALSE.

Part 2

Using the standard normal curve, the z−score representing the 10th percentile is 1.28.

We are looking for a value a, that satisfy this:

P(X>a)=0.90   (a)

P(X   (b)  

We can find a z value that satisfy the condition with 0.10 of the area on the left and 0.90 of the area on the right it's z=-1.28. On this case P(Z<-1.28)=0.10 and P(Z>-1.28)=0.90

So that's FALSE.

Part 3

Let z1 be a z−score that is unknown but identifiable by position and area. If the symmetrical area between −z1 and +z1 is 0.9544, the value of z1 is 2.0

If we find this probability:

P(-2.0< Z

So on this case we can approximate to 0.9544. And that's TRUE.

Part 4

Using the standard normal curve, the z−score representing the 75th percentile is 0.67.

We are looking for a value a, that satisfy this:

P(X>a)=0.25   (a)

P(X   (b)  

We can find a z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.67. On this case P(Z<0.67)=0.75 and P(Z>0.67)=0.25

So that's TRUE.

3 0
3 years ago
In the morning, Mary walked 2 1/4 miles
slamgirl [31]

Answer:

7 1/8 miles.

Step-by-step explanation:

6 0
2 years ago
What shape can be formed from the following net?​
katovenus [111]
A pyramid can be formed
5 0
3 years ago
The veterinarian weighed Oliver’s new puppy, Boaz, on a defective scale. He weighed 46 pounds. However, Boaz weighs exactly 44.5
notka56 [123]
The percent error is the absolute difference of the actual and measured values, divided by the actual value, multiplied by 100. In here, the actual value is 44.5 lb, while the measured value is 46 pounds. 

Percent error =  |44.5 - 46|/44.5 * 100 = <em>3.37%</em>
8 0
2 years ago
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