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jolli1 [7]
3 years ago
10

An object is thrown off a 256-foot-tall building, and the distance of the object from the ground is measured every second. The f

unction that models the height, h, of the object after t seconds is h(t) = –16t2 + 96t + 256. Determine the time when the object hits the ground.
After how many seconds does the object hit the ground?
Mathematics
2 answers:
dolphi86 [110]3 years ago
4 0

Answer:

Step-by-step explanation:

8

expeople1 [14]3 years ago
3 0

Answer:

8

Step-by-step explanation:

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The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds. Assume that the weig
Annette [7]

Answer:

0.24315

Step-by-step explanation:

Using the z score formula to solve this question

z = (x - μ) / σ,

Such that:

x = raw score

μ = population mean

σ = population standard deviation.

From the question:

x = 3000

μ = 3550

σ = 870

z = (3000 - 3550) / 870

z = -550/870

z = -0.6962

Using the z score table as well as probability calculator(as requested in the question to find the z score)

The probability of having less than 3000 is obtained as:

P(x<3000) = 0.24315

7 0
3 years ago
A painter charges by the square foot and charges you $1,875 to paint a 750 square foot rental house. If you need 1300 square foo
Stella [2.4K]

In this question , it is given that

A painter charges by the square foot and charges you $1,875 to paint a 750 square foot rental house.

For 750 square foot, he charges $1875.

So for 1 square foot, he charges

= \frac{1875}{750} = $2.50 \ \per \ square \ foot

And for 1300 square foot, he charges

= 2.50*1300 = $3250

3 0
3 years ago
You measure the lifetime of a random sample of 25 rats that are exposed to 10 Sv of radiation (the equivalent of 1000 REM), for
Slav-nsk [51]

Answer:

CI 95%(μ)= [13.506 ; 14.094]

Step-by-step explanation:

The confidence interval (CI) formula is:

CI (1-alpha) (μ)= mean+- [(Z(alpha/2))* σ/sqrt(n)]

alpha= is the proportion of the distribution tails that are outside the confidence interval. In this case, 5% because 100-90%

Z(5%/2)= is the critical value of the standardized normal distribution. In this case is 1.96

σ= standard deviation. In this case 0.75 day

mean= 13.8 days

n= number of observations . In this case 25

Then, the confidence interval (90%) is:

CI 95%(μ)= 13.8+- [1.96*(0.75/sqrt(25)]

CI 95%(μ)= 13.8+- [1.96*(0.75/5) ]

CI 95%(μ)= 13.8+- (0.294)

CI 95%(μ)= [13.8-0.294 ; 13.8+0.294]

CI 95%(μ)= [13.506 ; 14.094]

4 0
3 years ago
Hardy's plant grows rapidly. It grows by 10cm every 2 years. How much taller will hardy's plant be in 5 years?
nirvana33 [79]
It will be 25cm long Since it growing 10cm every 2 years it must be growing 5cm every year 10/2=5/1 To find total growth in 5 years multiply the cm it grows every year by the number of years so 5yearsX 5cm =25cm
6 0
3 years ago
Read 2 more answers
Is trapezoid ABDC the result of a dilation of trapezoid MNPQ by a scale factor of ? Why or why not?
Nady [450]

Answer:

No, because AB is 2/5 the length MN but CD is 1/3 the length QP.  

Step-by-step explanation:

Comparing the corresponding sides, the length of AB is 4.  The length of MN is 10.  This makes their ratio 4/10 = 2/5.

The length of CD is 2.  The length of QP is 6.  this makes their ratio 2/6 = 1/3.

The ratios of the sides are not the same, so the figure is not proportional and is therefore not a dilation.

8 0
4 years ago
Read 2 more answers
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