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2 years ago

NASA launches a rocket at t=0 seconds. Its height, in meters above sea-level, in terms of time is given by h=−4.9t2+244t+269.

Mathematics

1 answer:

Darya [45]2 years ago

4 0

Answer: The height of the rocket after 9 seconds is 2068.1 meters.

The height of the rocket when it initially launched is 269 meters.

Step-by-step explanation:

Given, NASA launches a rocket at $t=0$ seconds.

Its height, in meters above sea-level, in terms of time is given by $h=-4.9t^2+244t+269.$

To find, the height of the rocket after 9 seconds put t=9, we get

$h=-4.9(9)^2+244(9)+269\\\\=-4.9(81)+2196+269\\\\=-396.9+2465\\\\=2068.1$

Hence, the height of the rocket after 9 seconds is 2068.1 meters.

To find, the height of the rocket when it initially launched put t=0, we get

$h=-4.9(0)^2+244(0)+269\\\\=0+0+269\\\\=269$

Hence, the height of the rocket when it initially launched is 269 meters.

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The weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation

Korvikt [17]

Answer:

The z-score of a male bird of this species with a weight of 29.37 grams is 1.7.

Step-by-step explanation:

We are given that the weights of adult male birds of a certain species are normally distributed with a mean of 27.5 grams and a standard deviation of 1.1 grams.

Let X = weights of adult male birds of a certain species

So, X ~ Normal( $\mu=27.5,\sigma^{2} =1.1^{2}$ )

The z score probability distribution for normal distribution is given by;

Z = $\frac{ X-\mu}{\sigma } }$ ~ N(0,1)

where, $\mu$ = population mean weight = 27.5 grams

$\sigma$ = standard deviation = 1.1 grams

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

SO, the z-score of a male bird of this species with a weight of 29.37 grams is given by;

Z score = $\frac{ X-\mu}{\sigma } }$ = $\frac{ 29.37-27.5}{1.1 } }$

= 1.7

4 0

3 years ago

To make a bakery's signature chocolate muffins

garri49 [273]

Become a ninja sneak in and steal their recipe and get out and don't get caught. - VEX

7 0

2 years ago

Can someone solve this Im to lazy !

Sladkaya [172]

Not impressed that you consider yourself "too lazy" to at least get started on the solution of this problem. Why not "give it the old college try?"

Start by choosing letters to represent the unit cost of each popcorn and drink:
p: popcorn, d: drink.

Then 2p + 3d = $22.25 and 12p+4d=$39.00
Note that the unit of measurement of all 6 terms here is " $ ".

Solve this system of linear equations simultaneously:

2p + 3d = $22.25
12p+4d=$39.00

In your shoes I would mult. the first equation by -6 and then combine the result with the second equation. p will temporarily disappear, and you'll be left with an equation in d only, enabling you to find the unit cost of a drink.

Come on. Show your stuff. You'll need to respond through Comments.

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3 years ago

the sum of two numbers is 35. the second number, y, is equal to 4 times the first number , x. which system of linear equations r

ANTONII [103]

The system of linear equations x + y = 35 and y = 4x represents the two numbers

Solution:

Given that, The sum of two numbers is 35

The second number, y, is equal to 4 times the first number "x"

We have to find which system of linear equations represent the two numbers? We have two conditions for two variables, so we can obtain two equations, which means a system of equations.

Now, 1st condition ⇒ sum of two numbers is 35 ⇒ x + y = 35

And, 2nd condition ⇒ second number is 4 times the first number ⇒ y = 4x

Hence, the equations, x + y = 35 and y = 4x represents the given numbers.

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3 years ago

Which equation has a solution of 4? Select all that apply .

8_murik_8 [283]

Answer: C and B

Step-by-step explanation:

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