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3 years ago

What conjecture can you make about the sum of the first 10 odd integers

Mathematics

1 answer:

saul85 [17]3 years ago

3 0

The answer si that the first ten odd integers are all even. Maybe this is really a fact but not a conjecture

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On a boat, a cabin's window is in the shape of an isosceles trapezoid, as shown below. What is the area of the window?

brilliants [131]

Answer:

195

Step-by-step explanation:

½(B¹ + B²) h is the formula for a trapezoid so you would do

1/2(10+16)15 which gives you 195

6 0

3 years ago

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 = $r^2 = (0.72)^2 =0.5184$

8 0

2 years ago

X to the power of 2 subtract 3x for x=4

Helen [10]

First, X^2 while x is 4 =4^2, which is 4x4, which is 16
3X while x is 4 is 12. 16-12=4. So the answer is 4

6 0

2 years ago

A sheet cake and a birthday cake are both made from the same batter. The sheet cake is in the shape of a rectangular prism that

NISA [10]

Volume of the sheet cake:
V ( prism ) = 12 * 9 * 2 = 216 in³
Volume of the birthday cake:
V ( cylinder ) = r² * π * h = 4.5² * 3.14 * 4 = 254.34 in³
Then we will use the proportion :
216 : 254.34 = 36000 : x
216 x = 254.34 * 3600
216 x = 915,660
x = 915.660 : 216
x = 4,239.17 ≈ 4,240
Answer:
d. 4,240

7 0

2 years ago

Read 2 more answers

Farmer Jack needs 1,800 square feet of garden space to have enough corn for a year. His garden space is currently 10 5?6 feet by

sergey [27]

Answer:

$1,605\ ft^{2}$