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GrogVix [38]
3 years ago
10

a tree casts a shadow 27meters long.a nearby by post that is 5 meters tall casts a shadow 3 meters long. how tall is the tree? (

hint: set up proportion to solve)​
Mathematics
2 answers:
ololo11 [35]3 years ago
8 0
5 x 27=135
3 x x= 135
135/3=45 = lenght of tree
coldgirl [10]3 years ago
8 0

Answer:

The tree is 45 meters high.

Step-by-step explanation:

Drawing this out will make it much easier.

In the figure, 3 is proportional to 27, and 5 is proportional to the missing side (x).

Insert the figures into an equation and solve:

3/5 *  27/x

Cross multiply:

3(x)= 27(5)

3x=135

135/3=x

x=45

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If Myron receives 10 votes from his class of 25 students what percentage does he receive
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Answer:

Myron received 40% votes.

Step-by-step explanation:

Myron receives 10 votes from his class of 25 students and we have to calculate the percentage of the vote received.

Now we will use unitary method to calculate the percentage.

∵ Out of 25 students Myron received votes of = 10 students

∴ Out of 1 student Myron received votes = 10/25 students

∴ Out of 100 students Myron received votes = 10×100/25 = 40%

Myron received 40% votes.  

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“Use the equation 2p-7=25 to find the weight of your uncles backpack”
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the equation is 2p-7=25 // p = 16

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2 years ago
A research group is curious about their city’s participation in flu shot clinics. They suspect that there is a difference betwee
Kipish [7]

Answer:

t=\frac{(162-156)-0}{\sqrt{\frac{41^2}{22}+\frac{36^2}{20}}}}=0.505  

p_v =2*P(t_{40}>0.505)=0.61633  

Comparing the p value with the significance level \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, then the difference between the two groups is NOT significantly different.  

Step-by-step explanation:

Data given and notation

\bar X_{1}=162 represent the mean for sample of clinic attendees

\bar X_{2}=156 represent the mean for the sister city  

s_{1}=41 represent the sample standard deviation for 1  

s_{2}=36 represent the sample standard deviation for 2  

n_{1}=22 sample size for the group 2  

n_{2}=20 sample size for the group 2  

\alpha=0.05 Significance level provided

t would represent the statistic (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the difference in the population means, the system of hypothesis would be:  

Null hypothesis:\mu_{1}-\mu_{2}=0  

Alternative hypothesis:\mu_{1} - \mu_{2}\neq 0  

We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:  

t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}} (1)  

And the degrees of freedom are given by df=n_1 +n_2 -2=22+20-2=40  

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.  

With the info given we can replace in formula (1) like this:  

t=\frac{(162-156)-0}{\sqrt{\frac{41^2}{22}+\frac{36^2}{20}}}}=0.505  

P value  

Since is a bilateral test the p value would be:  

p_v =2*P(t_{40}>0.505)=0.61633  

Comparing the p value with the significance level \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, then the difference between the two groups is NOT significantly different.  

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3 years ago
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