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zloy xaker [14]
3 years ago
10

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}

Step-by-step explanation:

step 1

Find the area of the garden space

First convert mixed number to an improper fraction

10\frac{5}{6}\ ft=\frac{10*6+5}{6}=\frac{65}{6}\ ft

A=\frac{65}{6}*18=195\ ft^{2}

step 2

Find how much more land Farmer Jack needs to plant the rest of his corn

1,800\ ft^{2}-195\ ft^{2}=1,605\ ft^{2}

4 0
3 years ago
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