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grigory [225]
3 years ago
7

Samantha threw and apple out of the window fr the tenth floor of her apartment building. The equation y= -16t^2 +120 can be used

to represent the fruits height above the ground, where t represents time, in seconds, after she threw the apple. How long did it take the apple to hit the ground? Round to the nearest hundredth.
Mathematics
1 answer:
prohojiy [21]3 years ago
3 0
Answer:
time taken = 2.74 seconds

Explanation:
We are given that:
y = -16t² + 120 models the situation where:
y is the floor number
t is the time taken for the apple to hit the ground

We are also given that the floor number (y) is 10. Therefore, all we have to do is substitute with y in the above equation and solve for the time t as follows:
y = -16t² + 120
10 = -16t² + 120
120 - 10 = 16t² 
110 = 16t²
t² = 110/16
t = ±√6.875
either t = 2.74 seconds ..........> accepted
or t = -2.74 seconds .........> rejected as time cannot be in negative

Hope this helps :)
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If a television service subscriber has cable service, there is a 0.24 probability the subscriber has a DVR player. If the subscr
noname [10]

Answer:

0.1163

Step-by-step explanation:

given that if a television service subscriber has cable service, there is a 0.24 probability the subscriber has a DVR player. If the subscriber does not have cable service (e.g., has satellite service), there is a 0.7 probability the subscriber has a DVR player

Let A1 be the event subscriber has cable service and A2  subscriber does not have cable service

A1 and A2 are mutually exclusive and exhaustive

P(A1) = 0.75, P(A2) = 0.25

B = Subscriber has a DVD player

P(B/A1) =0.24 and P(B/A2) = 0.7

Prob for the subscriber does not have a DVR player

= P(B') = P(A1B')+P(A2B') = 0.75*(1-0.24)+0.25(1-0.7)\\= 0.57+0.075=0.645

required probability = P(A2/B') = P(A2B')/P(B)

=\frac{0.075}{0.645} \\=0.1163

8 0
3 years ago
Theo had a balance of -4 in his savings account. After making a deposit , he has $25 in his account. What is the overall change
love history [14]

$29 dollars is the overall change in his account. The reason that this is correct is because if you make a number line -4 is exactly 29 units away from 25.
6 0
3 years ago
Read 2 more answers
This problem is attempting to TRICK you.
serg [7]

Answer:

nevada will earn $300 interest and the total balance after 18 months is $4,300.

Step-by-Step Explanation:

we use this following formula to find how much interest nevada has :

simple interest = principal * interest rate * time

since the amount of time is in months, we have to convert it into years. we use interest in years ONLY.

1 year = 12 months

1.5 years = 18 months

now that we have the correct values to use this formula in, we now substitute the numbers in.

simple interest = principal * interest rate * time

simple interest = $4,000 * 0.05 * 1.5

here, we converted the percentage rate into a decimal because obviously, you cannot directly multiply percentages by money or normal numbers.

simple interest = principal * interest rate * time

simple interest = $4,000 * 0.05 * 1.5

simple interest = $200 * 1.5 (we multiplied the first two values first so it's easier to get the final answer)

simple interest = $300

we now have to find the total balance on nevada's account after 18 months by using the following formula :

total amount = principal + simple interest

since we know the amount of principal and interest already, all we have to do is substitute the numbers in.

total amount = principal + simple interest

total amount = $4,000 + $300

total amount = $4,300

therefore, nevada's total balance on her account after 18 months is $4,300.

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3 years ago
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Advocard [28]

It looks like this is a square pyramid net, and to find the surface area you need to know the base and height. By looking at the image 5 ft is the height and the base is 3 ft.

The surface area of the square pyramid is <u>40.32</u>

hope this helps!

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3 years ago
PLSS HELPP<br><br> Probability statistics
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So okay, in stats when there is probability that looks like p(fem/type b) it means what is the probability that they are female given they are type b, so it would be where they intersect. Therefore where they intersect on the table is 22 out of the total of 200 people so 1/10. Now that we know that probability let's look at the "or" one, when it says or it means it could be a female or a type b so we would include both totals of each:

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now we divide that by the total amount of people so it simplifies down to a probability of 0.835.

Finally, looking at these 2 probability we can see that the "or" probability is far greater than the one previous discussed so it would be the last option if I remeber correctly!!

7 0
3 years ago
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