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Mamont248 [21]
3 years ago
13

2. A boy who is 5 feet 6 inches tall casts a shadow that is 8 feet and 3 inches long. What is the measure of the

Mathematics
1 answer:
kvasek [131]3 years ago
6 0

Answer:

34°

Step-by-step explanation:

The boy is 5 feet 6 inches tall.

The boy casts a shadow that is 8 feet and 3 inches long.

We know 12 inches equal 1 foot.

Therefore the boy's height is 5.5ft and the shadow is 8.25ft.

The angle of elevation of the sun is given by the tangent of the angle A.

\tan(A)  =  \frac{5.5}{8.25}

\tan(A)  =  0.6667

A=   {\tan}^{ - 1} (0.6667)

A=33.69 \degree

To nearest degree is 34°

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In a certain large city, 45% of families earn less than $35,000 per year. Assuming the distribution is binomial and you can use
kotegsom [21]

Answer:

The probability is %13,5

Step-by-step explanation:

If it is a binomial distribution function than we can find a probability of earning less or more than 35000$ in this certain large city. Lets assume that p is probability of earning less than 35000$ and q is earning more than 35000$.:

p=0,45

q=0,55

So general formula of n families that earning less than 35000$ is:

P(X=n)=combination(30,n)*0,45^n*0,55^{30-n}

Probability of 10 or less families out of 30 families that earning less than 35000$ is:

combination(30,10)*0.45^{10}*0.55^{20}+combination(30,9)*0.45^9*0.55^{21}+combination(30,8)*0.45^8*0.55^{22}+combination(30,7)*0.45^7*0.55^{23}+combination(30,6)*0.45^6*0.55^{24}+combination(30,5)*0.45^5*0.55^{25}+combination(30,4)*0.45^4*0.55^{26}+combination(30,3)*0.45^3*0.55^{27}+combination(30,2)*0.45^2*0.55^{28}+combination(30,1)*0.45^{1}*0.55^{29}+combination(30,0)*0.45^0*0.55^{30}=0,135

7 0
3 years ago
Pls help will mark as brainlist ​
Andrei [34K]

Step-by-step explanation:

total angle= 360°.

sides = 360/36 = 10 (decagon).

total angle= 360°

sides = 360/120 = 3(triangle).

hope this helps you to.

8 0
2 years ago
A line passes through the point (0, 1) and has a positive slope. Which of these points could that line NOT pass through? Check a
Vinvika [58]

We have to find slopes one by one.

\\ \sf\longmapsto Slope=m=\dfrac{y_2-y_1}{x_2-x_1}

#1

  • (0,1)
  • (12,3)

\\ \sf\longmapsto \dfrac{3-1}{12-0}

\\ \sf\longmapsto \dfrac{2}{12}

\\ \sf\longmapsto \dfrac{1}{6}>0

  • Line passes through this.

#2

  • (-2,-5)

\\ \sf\longmapsto \dfrac{-5-1}{-2-0}

\\ \sf\longmapsto \dfrac{-6}{-2}

\\ \sf\longmapsto 3>0

  • Line passes through this

#3

  • (-3,1)

\\ \sf\longmapsto \dfrac{1-1}{-3-0}

\\ \sf\longmapsto \dfrac{0}{-3}=0

  • Not possible (Line passes through y axis as one co-ordinate is (0,1))

#4

  • ( 1,15)

\\ \sf\longmapsto \dfrac{15-1}{1-0}

\\ \sf\longmapsto \dfrac{14}{1}

\\ \sf\longmapsto 14>0

  • Line passes through this

#5

  • (5,-2)

\\ \sf\longmapsto \dfrac{-2-1}{5-0}

\\ \sf\longmapsto \dfrac{-3}{5}

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6 0
2 years ago
Read 2 more answers
Does consuming beer attract mosquitoes? A study done in Burkino Faso, Africa, about the spread of malaria investigated the conne
Pachacha [2.7K]

Answer:

Take u1 = average number of mosquitoes attracted after drinking beer

u2 = average number of mosquitoes attracted after drinking water

a) The null and alternative hypotheses:

H0 : u1 = u2

H1 : u1 > u2

b) i) The average number of mosquitoes per volunteer before drinking (beer group) :

x'1 = \frac{x_1}{n} = \frac{434}{25} = 17.36

Sample mean for mosquitoes attracted before consumption for beer group is 17.36

The average number of mosquitoes per volunteer before drinking (water group) :

x'2 = \frac{x_2}{n} = \frac{337}{18} = 18.72

Sample mean for mosquitoes attracted before consumption for water group is 18.72

The two means are different.

The difference in the two means are as a result of random choice.

c) i) The average number of mosquitoes per volunteer after drinking (beer group) :

x'1 = \frac{x_1}{n} = \frac{590}{25} = 23.60

Sample mean for mosquitoes attracted after consumption for beer group is 23.60

ii) The average number of mosquitoes per volunteer after drinking (water group) :

x'2 = \frac{x_2}{n} = \frac{345}{18} = 19.17

Sample mean for mosquitoes attracted after consumption for water group is 19.17

The two sample means are different.

This difference here is likely not to be as a result of random choice, because the mean difference here is greater than the mean difference before consumption.

d) A statistically significant difference provides evidence that beer consumption increases mosquito attraction, as the average number of mosquitoes attracted when drinking beer is higher than the mean number of mosquitoes attracted when drinking water.

5 0
3 years ago
Gary is 240 page long if you read 40% of the book how many pages did you read
kiruha [24]
240×.40=96
Gary read 96 pages
8 0
3 years ago
Read 2 more answers
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