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2 years ago

Ten times the sum of half a number and 6 is 8

1 answer:

5 0

Half = 0.5
x-the number

<span>Ten times the sum of half a number and 6 is 8:

10 · (0.5x + 6) = 8 |use distributive property: a(b + c) = ab + ac
5x + 60 = 8 |subtract 60 from both sides
5x = -52 |divide both sides by 5
x = -10.4
</span>

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How do you write 4.40 × 10^3 in standard form?

Sindrei [870]

Answer:

4400 is the answer

Step-by-step explanation: You move the decimal point to the right 3 spaces. If it was 10^-3 you would move the decimal point to the left 3 spaces.

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3 years ago

Which of the equations below is not a Linear Equation?

Gnesinka [82]

The answer is part B

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2 years ago

Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round y

kupik [55]

Answer:

75% confidence interval is 91.8±16.66. That is between 75.1 and 108.5 pounds.

Step-by-step explanation:

The question is missing. It is as follows:

Adult wild mountain lions (18 months or older) captured and released for the first time in the San Andres Mountains had the following weights (pounds): 69 104 125 129 60 64

Assume that the population of x values has an approximately normal distribution.

Find a 75% confidence interval for the population average weight μ of all adult mountain lions in the specified region. (Round your answers to one decimal place.)

75% Confidence Interval can be calculated using M±ME where

M is the sample mean weight of the wild mountain lions ( $\frac{69 +104 +125 +129+60 +64}{6} =91.8$ )

ME is the margin of error of the mean

And margin of error (ME) of the mean can be calculated using the formula

ME= $\frac{t*s}{\sqrt{N} }$ where

t is the corresponding statistic in the 75% confidence level and 5 degrees of freedom (1.30)

s is the standard deviation of the sample(31.4)

N is the sample size (6)

Thus, ME= $\frac{1.30*31.4}{\sqrt{6} }$ ≈16.66

Then 75% confidence interval is 91.8±16.66. That is between 75.1 and 108.5

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3 years ago

Kitty Foods sells their cat food in 3 3/4 lb bags, while Cat Caterers sells 2 1/8 lb bags. How much bigger are the bags Kitty Fo

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Answer: The answer for the question is: 1 5/8

Step-by-step explanation:

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2 years ago

The median starting salary for new law school graduates is determined by

Elena-2011 [213]

Step-by-step explanation:

1) we would have the expectation that b₅ < 0 because b₅ shows how salary responds to law school ranking. As the rank of law school increases then median starting salary for new law school graduates declines. there is an inverse relation between salary and rank, Coefficient of rank, b5 will be negative since it is less than 0

ii) B₁ is going to be positive because as median LSAT score for the graduating class goes up, so does the salary of graduates. we have B1 >0

B₂ will be positive as college median GPA rises, so does graduate salary.

B₃ will be positive because if the more volumes of book in library, the greater possibility of getting higher salary, so B₃ >0.

B₄ >0 as if annual cost is high , then there would be indictaes more facilities of learning for students, leading to more chances of high salaries , hence B4 >0.

B5<0 this has been explained in 1.

iii) predicted ceteris paribus difference in salary for schools with a median GPA different by one point

= coefficient of GPA

=0.248

= this 24.8% in percentages B₂ tells us that when other factors are held constant,increasing median gpa by 1 would cause 24.8 percent increase in salary predicted.

iv)holding other variable factors constant, increasing the volume in the law library would bring about predicted salary increase by 0.095%

v) due to the inverse relationship between rank of law school and salary, it is better to attend a law school with lower rank than that with higher rank

difference in ranking of 20 = 20*(-0.0033)

= -0.066 x 100

= -6.6%

if rank is lower by 20 units , then we will have salary to be 6.6% higher

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3 years ago