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9966 [12]
2 years ago
14

Find the length of the lamppost to the nearest inch.

Mathematics
1 answer:
olganol [36]2 years ago
5 0

Answer:

109 inch

Step-by-step explanation:

we know that

tan\theta=\frac{Perp}{Base} \\\theta=70\\Base=40 in

So,

tan(70)=\frac{Perp}{40} \\\\2.747=\frac{Perp}{40} \\\\2.747\times40=Perp\\\\Perp=109\quad in

So, length of lamppost is 109 inch

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2. P337. 23. A large box contains 10,000 ball bearings. A random sample of 120 is chosen. The sample mean diameter is 10 mm, and
Rashid [163]

Answer:

B is True

A, C. D are false

Step-by-step explanation:

Given :

Sample size, n = 120

Mean diameter, m = 10

Standard deviation, s = 0.24

Confidence level, Zcritical ; Z0.05/2 = Z0.025 = 1.96

The confidence interval represents how the true mean value compares to a set of values around the mean computed from a set of sample drawn from the population.

The population here is N = 10000

To obtain

Confidence interval (C. I) :

Mean ± margin of error

Margin of Error = Zcritical * s/sqrt(n)

Margin of Error = 1.96 * 0.24/sqrt(120)

Confidence interval for the 10,000 ball bearing :

10 ± 1.96 * (0.24) / sqrt(120)

Hence. The confidence interval defined as :

10 ± 1.96 * (0.24) / sqrt(120) is the 95% confidence interval for the mean diameter of the 10,000 bearings in the box.

4 0
2 years ago
Help with both questions please
Igoryamba
For the first question the answer is the second option.
For the second question the answer is the first option.

Hope I didn't mess up for your sake
5 0
3 years ago
Read 2 more answers
Mr. Castillo earns 270,920.64 a year. What is his monthly salary?
lozanna [386]

We need to divide for this. Since there are 12 months in a year, we divide his yearly salary by 12.

270,920.64÷12=22,576.72


So, Mr.Castillo's monthly salary is $22,576.72.

8 0
3 years ago
Please help for brainliest: <br> Write the expression p^-2 in positive exponential form
koban [17]

Answer:

1/p^2

Step-by-step explanation:

To get rid of a negative exponent, make it under a 1/

7 0
3 years ago
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Calculate the partial sum S for the sequence 243,81,27,....
Llana [10]

Answer:363


Step-by-step explanation:

We have to find partial sum for the sequence 243 , 81 , 27 ..... up to 5 terms(S5 given)

The sequence actually is 3^5,3^4.,3^3.....

Therefore first 5 terms are 1) 3^5 I.e. 243

2) 3^4 I.e. 81

3) 3^3 I.e. 27

4)) 3^2 I.e. 9

5) 3^1 I.e. 3

Adding all those no. we get partial sum of first 5 no. of the sequence

So, 243 + 81 + 27 + 9 + 3

= 363

Hope it helps!!!

4 0
3 years ago
Read 2 more answers
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