. Mrs. Khan makes cookies for the school bake sale. She uses the equation c = 0.75x to determine the cost, c, for x cookies. Whi
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Answer:
The distance of the restaurant from the man and woman = 312.5 m
Option C is correct.
A distância do restaurante do homem e da mulher = 312,5 m
A opção C está correta.
Step-by-step explanation:
English Translation
A man is located 300 m from a linear (straight) road. On that road his wife is located 500 m from the man. Both walk towards a restaurant that is on the road and is the same distance from the two. What is this distance in meters?
A) 400m
B) 300m
C) 312.5m
D) 325m
E) 87.5m
Solution
A diagram showing the scenario described, is presented the attached image.
From the attached image, x is the distance of the restaurant from both the man and the woman. So, there are two right angled triangles,
- The bigger one with hypotenuse 500 m and other side 300 m, the third side is calculated as
(Third side)² = 500² - 300² = 160000
Third side = 400 m
- The smaller right angled triangle, with hypotenuse x m and other sides 300 m & (400 - x) m
(400 - x)² + 300² = x²
160000 - 800x - x² + 90000 = x²
800x = 160000 + 90000 = 250000
x = (250000/800) = 312.5 m
Hence, the distance of the restaurant from the man and woman = 312.5 m
In Portugese/Em português
Um diagrama mostrando o cenário descrito é apresentado na imagem em anexo.
Na imagem em anexo, x é a distância do restaurante do homem e da mulher. Então, existem dois triângulos retângulos,
- Quanto maior com hipotenusa 500 me outro lado 300 m, o terceiro lado é calculado como
(Terceiro lado) ² = 500² - 300² = 160000
Terceiro lado = 400 m
- O triângulo angular direito menor, com hipotenusa x me outros lados 300 m & (400 - x) m
(400 - x)² + 300² = x²
160000 - 800x - x² + 90000 = x²
800x = 160000 + 90000 = 250000
x = (250000/800) = 312.5 m
Portanto, a distância do restaurante do homem e da mulher = 312,5 m
Hope this Helps!!!
Espero que isto ajude!!!
Answer:
Part 1: The statistic
(1)
And the degrees of freedom are given by
Replacing we got
Part 2: P value
Since is a right tailed test the p value would be:
Comparing the p value we see that is lower compared to the significance level of 0.01 so then we can reject the null hypothesis and we can conclude that the mean for the four year college is significantly higher than the mean for the two year college and then the claim makes sense
Step-by-step explanation:
Data given
represent the mean for four year college
represent the mean for two year college
represent the sample standard deviation for four year college
represent the sample standard deviation two year college
sample size for the group four year college
sample size for the group two year college
Significance level provided
t would represent the statistic (variable of interest)
System of hypothesis
We need to conduct a hypothesis in order to check if the mean enrollment at four-year colleges is higher than at two-year colleges in the United States , the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We can assume that the normal distribution is assumed since we have a large sample size for each case n>30. So then the sample mean can be assumed as normally distributed.
Part 1: The statistic
(1)
And the degrees of freedom are given by
Replacing we got
Part 2: P value
Since is a right tailed test the p value would be:
Comparing the p value we see that is lower compared to the significance level of 0.01 so then we can reject the null hypothesis and we can conclude that the mean for the four year college is significantly higher than the mean for the two year college and then the claim makes sense
Answer:
x=5/3
x= 3+2
x= 3-2
Step-by-step explanation:
if graphed the x intercepts would be (5/3 , 0) (3+2 ) (3-2
)
y intercepts (0,-5)