First look at the given numbers, especially 123 degrees which if you add up the other side it equals 180 degrees so:
180-123= 57
Ok now you know two sides of the triangle and you know that all the 3 sides add up to 360 degrees so:
57+75= 132
180-132= 48

6 0

3 years ago

Each morning, Hungry Harry eats some eggs. On any given morning, the number of eggs he eats is equally likely to be 1, 2, 3, 4,

mamaluj [8]

Answer:

Mean = 35

Variance = 291.7

Step-by-step explanation:

Data provided in the question:

X : 1, 2, 3, 4, 5, 6

All the data are independent

Thus,

The mean for this case will be given as:

Mean, E[X] = $\frac{\textup{Sum of all the observations}}{\textup{Total number of observations}}$

E[X] = $\frac{\textup{1+2+3+4+5+6}}{\textup{6}}$

E[X] = 3.5

For 10 days, Mean = 3.5 × 10 = 35

And,

variance = E[X²] - ( E[X] )²

Now, for this case of independent value,

E[X²] = $\frac{1^2+2^2+3^2+4^2+5^2+6^2}{\textup{6}}$

E[X²] = $\frac{1+4+9+16+25+36}{\textup{6}}$

E[X²] = $\frac{91}{\textup{6}}$

E[X²] = 15.167

Therefore,

variance = E[X²] - ( E[X] )²

variance = 15.167 - 3.5²

Variance = 2.917

For 10 days = Variance × Days²

= 2.917 × 10²

= 291.7

3 0

3 years ago

Solve this multi step equation: 8a + 2(1 - 5a) < 20 (dash under <)

Citrus2011 [14]

Okay. Basically, a is greater than or equal to 9.
First, you do distribute the 2.
8a+2-10a(< or =)20
Subtract two on both sides.
8a-10a(< or =)18
Then subtract 10a from 8a
-2a(< or =)18
Divide by two on both sides
and switch around the greater than sign since you divided by a <span>-2
</span>a(> or =)-9
<span>And if you check, -9 works, -8 works, and -10 doesn't work.</span>

5 0

3 years ago

Read 2 more answers

Deborah needs fabric for her costume. she buys 3.25 yards of material at $5.87 a yard What is the total cost of the fabric? Roun

iren2701 [21]

Answer:

19.08

Step-by-step explanation:

just multiply and round to get 2 decimals

6 0

3 years ago