A boy standing on a vertical cliff, observed two buoys in line with him, whose angles of depression are 19 degrees and 26 degrees. If the distance between the buoys is 222m, find the height of the cliff

Answer:

24 is the whole desposited. unless you are not counting the money she spent to open it. then it would be $23.50

Answer:

x = 45

Step-by-step explanation:

In isosceles triangles (a triangle where two sides are equal), the two base angles are congruent.

The sum of angles in a triangle is 180°.

In this problem, x is a base angle, so the other base angle is equal to x.

So, adding up all the measures of the angles in this triangle,

90 + x + x = 180

Simplify.

2x + 90 = 180

Substract 90 from both sides

2x = 90

Divide both sides by 2

x = 45

Answer:

6 is hoing to be your answer

Answer:

6in

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

first num is 15

ratio is 0.2

formula is a.r^n-1

Answer:

₹45000

Step-by-step explanation:

Let the selling price (SP) of the television be ₹x.

Therefore,

Profit [tex] =\frac{1}{9}x[/tex]

Cost price (CP) = ₹ 40000

[tex]Profit = SP - CP \\ \\ \frac{1}{9}x = x - 40000 \\ \\ \frac{x}{9} - x = - 40000 \\ \\ \frac{x - 9x}{9} = - 40000 \\ \\ - \frac{8}{9} x = - 40000 \\ \\ x = 40000 \times \frac{9}{8} \\ \\ x = 5000 \times 9 \\ \\ x = 45000[/tex]

Answer:

1) 56.52 in²

2) 565.2 ft²

3) 235.5yd²

4) 898.04 ft²

5) 942 yd²

6) 75.36 in²

Step-by-step explanation:

SA= πrS + πr²

1) (3.14)(2)(7) + (3.14)(2²) = 56.52 in²

2) (3.14)(9)(11) + (3.14)(9²) = 565.2 ft²

3) (3.14)(5)(10) + (3.14)(5²) = 235.5yd²

4) (3.14)(11)(15) + (3.14)(11²) = 898.04 ft²

5) (3.14)(10)(20) + (3.14)(10²) = 942 yd²

S =5 because 5² = 3² + 4²

6) (3.14)(3)(5) + (3.14)(3²) = 75.36 in²

Answer: 125.66

Step-by-step explanation: my explanation is i searched it

Answer:

13.2

Step-by-step explanation:

using the Pythagorean theorem:

L² = 20² - 5²

L² = 400 - 225 = 175

L = 13.23

Answer:

hi.a..a.q.q.q.q..w.w.q.

Answer:

40/169

Step-by-step explanation:

P(pp,tennis) = [tex]\frac{10}{26}[/tex] × [tex]\frac{16}{26}[/tex] = 40/169 in simplified form

The probability of selecting a ping pong ball, replacing it and then selecting a tennis ball is 40/169.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

We have,

Tennis ball = 16

Ping pong balls = 10

So, probability of selecting a ping pong ball, replacing it and then selecting a tennis ball

= 10/ 26 x 16/26

= 40/169

Learn more about Probability here:

https://brainly.com/question/11234923

#SPJ7

Answer:

525

Step-by-step explanation:

25 x 6 = 150;   150 / 2 =75;   75 x 7 = 525

Answer:

9x and x since all of the others would be in different groups

Answer:

The 99% confidence interval to estimate the mean breaking weight for this type cable is between 772.9 lb and 785.1 lb.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 46 - 1 = 45

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 45 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.69

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.69\frac{15.4}{\sqrt{46}} = 6.1[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 779 - 6.1 = 772.9 lb

The upper end of the interval is the sample mean added to M. So it is 779 + 6.1 = 785.1 lb

The 99% confidence interval to estimate the mean breaking weight for this type cable is between 772.9 lb and 785.1 lb.

Answer:

c

Step-by-step explanation:

ESPERO TE A YDUE :)

Answer:

3/4 divided by 1/4 = 3

Step-by-step explanation:

When we divide two fractions, such as 3/4 ÷ 1/4, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

We also simplify the answers to fraction problems whenever possible.

Answer:

3

Step-by-step explanation:

=(3/4)(4/1)

kcf (keep, change, flip)

so we're keeping 3/4 the same then we're changing it from division to multiplication and fliping 1/4 to 4/1 (as shown above)

3*4=12 and 4*1=4

so our new fraction is 12/4

12/4 is an improper fraction and 12 divided by 4 is 3

good luck :)

i hope this helps

have a great day !!

The answer is d>3

I cant put it graphed but it is open circle on three and the line pointing 4, 5, 6, 7,

Step-by-step explanation:

Given equation is

6x -2y= 32.........i)

Slope of line I) is

[tex]m1 = \frac{ - x \: coefficient}{y \: coefficient} \\ = \frac{ - 6}{ - 2} \\ = 3[/tex]

Now

As it is said that the lines are parallel so slope, m1 = m2

So the slope of a line parallel to line I) is

= 3

Hope it will help :)❤

Answer:

he got 80 percent correct

Answer:

3?

Step-by-step explanation:

Answer:

1 is 64

2 is 85

3 is 56 hope this helps  

Step-by-step explanation:

also how give brainly i want to give u brainly

Answer:

x is form

Step-by-step explanation:

Answer:

Perimeter of rectangle = 30 - 12y

Step-by-step explanation:

Given:

Width of rectangle = 5 - 2y

Length of rectangle = 2(width) = 2[5 - 2y] = 10 - 4y

Find:

Perimeter of rectangle

Computation:

Perimeter of rectangle = 2[l + b]

Perimeter of rectangle = 2 [10 - 4y + 5 - 2y]

Perimeter of rectangle = 2[15 - 6y]

Perimeter of rectangle = 30 - 12y

Answer:

24

Step-by-step explanation:

72/3=24

Answer:

A sample size of 385 should be used.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

What sample size should be used (round the number up)

A sample of n should be used.

n is found when M = 5.

We have that [tex]\sigma = 50[/tex]

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]5 = 1.96\frac{50}{\sqrt{n}}[/tex]

[tex]5\sqrt{n} = 1.96*50[/tex]

Simplifying by 10

[tex]\sqrt{n} = 1.96*10[/tex]

[tex]\sqrt{n} = 19.6[/tex]

[tex](\sqrt{n})^2 = (19.6)^2[/tex]

[tex]n = 384.16[/tex]

Rounding up

A sample size of 385 should be used.

Answer:

C. any number greater than 5

Step-by-step explanation:

when rounding numbers. 5 or more up the score. the number will be rounded to the next whole number

Answer:

Step-by-step explanation:

D the digit does not metter

Answer:

8

Step-by-step explanation:

You add 4 to get the next number.

(-8) + 4 = (-4)

(-4) + 4 = 0

0 + 4 = 4

4 + 4 = 8

Answer:

a) ∠BDE is 60° because ΔBDE is an equilateral triangle with all three angles = 60°.

b) ∠CDB = 120° because 180° - 60° = 120°

Step-by-step explanation:

Answer:

[tex]P(X \le 4) = 0.7373[/tex]

[tex]P(x \le 15) = 0.0173[/tex]

[tex]P(x > 20) = 0.4207[/tex]

[tex]P(20\ge x \le 24)= 0.6129[/tex]

[tex]P(x = 24) = 0.0236[/tex]

[tex]P(x = 15) = 1.18\%[/tex]

Step-by-step explanation:

Given

[tex]p = 80\% = 0.8[/tex]

The question illustrates binomial distribution and will be solved using:

[tex]P(X = x) = ^nC_xp^x(1 - p)^{n-x}[/tex]

Solving (a):

Given

[tex]n =5[/tex]

Required

[tex]P(X\ge 4)[/tex]

This is calculated using

[tex]P(X \le 4) = P(x = 4) +P(x=5)[/tex]

This gives:

[tex]P(X \le 4) = ^5C_4 * (0.8)^4*(1 - 0.8)^{5-4} + ^5C_5*0.8^5*(1 - 0.8)^{5-5}[/tex]

[tex]P(X \le 4) = 5 * (0.8)^4*(0.2)^1 + 1*0.8^5*(0.2)^0[/tex]

[tex]P(X \le 4) = 0.4096 + 0.32768[/tex]

[tex]P(X \le 4) = 0.73728[/tex]

[tex]P(X \le 4) = 0.7373[/tex] --- approximated

Solving (b):

Given

[tex]n =25[/tex]

i)

Required

[tex]P(X\le 15)[/tex]

This is calculated as:

[tex]P(X\le 15) = 1 - P(x>15)[/tex] --- Complement rule

[tex]P(x>15) = P(x=16) + P(x=17) + P(x =18) + P(x = 19) + P(x = 20) + P(x = 21) + P(x = 22) + P(x = 23) + P(x = 24) + P(x = 25)[/tex]

[tex]P(x > 15) = {25}^C_{16} * p^{16}*(1-p)^{25-16} +{25}^C_{17} * p^{17}*(1-p)^{25-17} +{25}^C_{18} * p^{18}*(1-p)^{25-18} +{25}^C_{19} * p^{19}*(1-p)^{25-19} +{25}^C_{20} * p^{20}*(1-p)^{25-20} +{25}^C_{21} * p^{21}*(1-p)^{25-21} +{25}^C_{22} * p^{22}*(1-p)^{25-22} +{25}^C_{23} * p^{23}*(1-p)^{25-23} +{25}^C_{24} * p^{24}*(1-p)^{25-24} +{25}^C_{25} * p^{25}*(1-p)^{25-25}[/tex]

[tex]P(x > 15) = 2042975 * 0.8^{16}*0.2^9 +1081575* 0.8^{17}*0.2^8 +480700 * 0.8^{18}*0.2^7 +177100 * 0.8^{19}*0.2^6 +53130 * 0.8^{20}*0.2^5 +12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1 +1 * 0.8^{25}*0.2^0[/tex]  

[tex]P(x > 15) = 0.98266813045[/tex]

So:

[tex]P(X\le 15) = 1 - P(x>15)[/tex]

[tex]P(x \le 15) = 1 - 0.98266813045[/tex]

[tex]P(x \le 15) = 0.01733186955[/tex]

[tex]P(x \le 15) = 0.0173[/tex]

ii)

[tex]P(x>20)[/tex]

This is calculated as:

[tex]P(x>20) = P(x = 21) + P(x = 22) + P(x = 23) + P(x = 24) + P(x = 25)[/tex]

[tex]P(x > 20) = 12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1 +1 * 0.8^{25}*0.2^0[/tex]

[tex]P(x > 20) = 0.42067430925[/tex]

[tex]P(x > 20) = 0.4207[/tex]

iii)

[tex]P(20\ge x \le 24)[/tex]

This is calculated as:

[tex]P(20\ge x \le 24) = P(x = 20) + P(x = 21) + P(x = 22) + P(x =23) + P(x = 24)[/tex]

[tex]P(20\ge x \le 24)= 53130 * 0.8^{20}*0.2^5 +12650 * 0.8^{21}*0.2^4 +2300 * 0.8^{22}*0.2^3 +300 * 0.8^{23}*0.2^2 +25* 0.8^{24}*0.2^1[/tex]

[tex]P(20\ge x \le 24)= 0.61291151859[/tex]

[tex]P(20\ge x \le 24)= 0.6129[/tex]

iv)

[tex]P(x = 24)[/tex]

This is calculated as:

[tex]P(x = 24) = 25* 0.8^{24}*0.2^1[/tex]

[tex]P(x = 24) = 0.0236[/tex]

Solving (c):

[tex]P(x = 15)[/tex]

This is calculated as:

[tex]P(x = 15) = {25}^C_{15} * 0.8^{15} * 0.2^{10}[/tex]

[tex]P(x = 15) = 3268760 * 0.8^{15} * 0.2^{10}[/tex]

[tex]P(x = 15) = 0.01177694905[/tex]

[tex]P(x = 15) = 0.0118[/tex]

Express as percentage

[tex]P(x = 15) = 1.18\%[/tex]

The calculated probability (1.18%) is way less than the advocate's claim.

Hence, we do not believe the claim.