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mestny [16]
1 year ago
12

Suppose you are headed toward a plateau 70 m high. If the angle of elevation to the top of the plateau is 60 degrees, how far ar

e you from the base of the plateau?
Mathematics
1 answer:
krek1111 [17]1 year ago
4 0
See the picture attached  to better understand the problem

we know that

in the right triangle ABC
tan 60°=BC/AC----> AC=BC*tan 60°-----> AC=70*tan 60°----> AC=121.24 m

the answer is
121.24 m

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Fifty specimens of a new computer chip were tested for speed in a certain application, along with 50 specimens of chips with the
Murljashka [212]

Answer:

Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips

Step-by-step explanation:

H_{0}: Mean speed of the new chip is the same as the old chip

H_{a}: Mean speed of the new chip is greater than the old chip

to calculate the z-statistic we can use the formula:

z=\frac{M_{n}-M_{o}}{\sqrt{\frac{s_{n}^2}{N_{n}} +\frac{s_{o}^2}{N_{o}} } }

if we put the numbers then

z=\frac{495.6-481.2}{\sqrt{\frac{19.4^2}{65}} +\frac{14.3^2}{65} } } =4.8171

The probability of this z-statistic is < 0.001 Therefore Under 99% confidence level we can say that mean speed of the new chips is greater than that of the old chips

4 0
1 year ago
According to the law of large​ numbers, as more observations are added to the​ sample, the difference between the sample mean an
barxatty [35]

Where are the answers choices

7 0
2 years ago
Read 2 more answers
The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents th
Novay_Z [31]

Answer:

Step-by-step explanation:

I use  84+ CE

stat edit, then fill in the #s

then

vars 5

then

2'nd stat plot, on

then, click stat

Click arrow 1 time to the left to get to Calc

then click (4)(LinReg(ax+b))

then click enter 5 times

(y=-25.31428571x+1000.285714

y=-25.3x+1000.3

now, lets use computer:

y=-25.31(543)+1000.3

y=-12743.03

round to the biggest whole number )

this doesn't really work, so I will put 1999, 2000, 2001, 2002, 2003, 2004 instead of 0, 1, 2, 3, 4, 5 and do the same thing

now I get

y=-25.31428571x+51603.54286

y=-25.3x+51603.5

now, lets use computer:

y=-25.3(543)+51603.5

y=37865.6

round to the biggest whole number:

y=37866

so, year 37866

7 0
2 years ago
a museum employee surveys a random sample of 350 visitors to the museum. Of those visitors, 266 stopped at the gift shop. Based
Naddika [18.5K]

1748 people are expected to stop at the gift shop out of 2300.

Step-by-step explanation:

Given,

Number of random sampled people = 350

Number of people who stopped at shop = 266

Percentage = \frac{People\ stopped}{Total\ people}*100

Percentage = \frac{266}{350}*100=76\%

Therefore,

76% people would stop at the gift stop.

Number of people = 2300

Expected number = 76% of total

Expected number = \frac{76}{100}*2300

Expected number = 1748

1748 people are expected to stop at the gift shop out of 2300.

4 0
2 years ago
A population of beavers decreases exponentially at a rate of 7.5% per year. What is the equivalent monthly rate to the nearest h
Fiesta28 [93]

Answer:

0.63%


Step-by-step explanation:

If 7.5% decrease in 1 year (12 months), then the percentage decrease per month will be 7.5% divided by 12.

\frac{7.5}{12}=0.625 percent per month


Rounded to the nearest hundredth, 0.625% is equal to 0.63%


3 0
2 years ago
Read 2 more answers
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