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2 years ago

A race car travels 100 feet in .5 seconds. At this rate of speed, how many feeet will the race car travel in a minute?

2 answers:

7 0

$\text{Hello there!}\\\\\text{We know that a car travels 100 ft every .5 seconds}\\\\\text{Lets find how far it goes every second}\\\\100*2=200\,\text{ft per second}\\\\\text{We're trying to find how far it goes in a minute, so multiply by 60}\\\text{Since 60 seconds = 1 minute}\\200*60=12000\\\\\boxed{12,000 ft}$

soldier1979 [14.2K]2 years ago

5 0

Answer:

Step-by-step explanation:

$\frac{100ft}{0.5s} * 60s$

$\frac{100 * 60}{0.5}$

$\frac{6000}{0.5}$

$12000ft$

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A college job placement office collected data about students’ GPAs and the salaries they earned in their first jobs after gradua

frez [133]

Answer:

X is the GPA

Y is the Salary

Standard deviation of X is 0.4

Standard deviation of Y is 8500

E(X)=2.9

E(Y)=47200

We are given that The correlation between the two variables was r = 0.72

a) $y = a+bx$

$b = \frac{\sum(x_i-\bar{x})(y_i-\bar{y})}{\sum(x_i-\bar{x})^2} = \frac{r \times \sqrt{var(X) \times Var(Y)}}{Var(X)} = \frac{0.72 \times \sqrt{0.4^2 \times 8500^2}}{0.4^2} = 15300$

$a=y-bx = 47200-(15300 \times 29) = 2830$

So, slope = 15300

Intercept = 2830

So, equation : $y = 2830+15300x$

b) Your brother just graduated from that college with a GPA of 3.30. He tells you that based on this model the residual for his pay is -$1880. What salary is he earning?

$y = 2830+15300 \times 3.3 = 53320$

Observed salary = Residual + predicted = -1860+53320 = 51440

c)) What proportion of the variation in salaries is explained by variation in GPA?

The proportion of the variation in salaries is explained by variation in GPA = $r^2 = (0.72)^2 =0.5184$

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2 years ago

Simplify: x2/6 ⋅ x2/4

Elden [556K]

Answer:

x ^2/ 6

--------------------------------------------------------------------------

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2 years ago

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2 years ago

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2 years ago

student council at Smith Valley High School is planning to sell t-shirts as part of a fundraiser using company A, the shirts cos

Sergio [31]

function rule describes the amount of profit that will be made by the student council on the shirt sales is $7.5x-45$ .

<u>Step-by-step explanation:</u>

Here we have , student council at Smith Valley High School is planning to sell t-shirts as part of a fundraiser using company A, the shirts cost $4.50 each. The student council has to pay the shirt company a design fee of $45. the shirts will be sold for $12 each. We need to find a function rule describes the amount of profit that will be made by the student council on the shirt sales . Let's find out:

Each shirt cost $4.50 . The student council has to pay the shirt company a design fee of $45. the shirts will be sold for $12 each , So the total amount of t shirt he sell is :

⇒ $12x$ , where x is the number of t shirts !

Now , expenses is given by :

⇒ $45+4.5x$ , where x is the number of t shirts !

So , Profit made is :

⇒ $12x-(45+4.5x)$

⇒ $7.5x-45$

Therefore , function rule describes the amount of profit that will be made by the student council on the shirt sales is $7.5x-45$ .

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2 years ago