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1 year ago

Which graph represents the solution set of this inequality? please help!!!

Mathematics

1 answer:

miv72 [106K]1 year ago

3 0

Answer:

C is the correct answer due to two-step inequality process

Step-by-step explanation:

Your inequality is: 5a + 18 < -27

First, you must remember that the < or > shall not be shaded in.

You could automatically eliminate answer A.

Now you need to do two-step inequalities which is the same thing as two-step equations but with an inequality sign.

5a + 18 < -27

5a < -27-18

5a < -45

**Now, here's something important: If you are multiplying with negatives while dealing with inequalities you must switch the sign to its opposite.

-9 > a

You need to find a number line that has numbers less than -9. It could be -10, -11, -12, -122, etc.

C is the correct answer.

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We have n = 100 many random variables xi 's, where the xi 's are independent and identically distributed bernoulli random variab

Alex777 [14]

Recall that for a random variable $X$ following a Bernoulli distribution $\mathrm{Ber}(p)$ , we have the moment-generating function (MGF)

$M_X(t)=(1-p+pe^t)$

and also recall that the MGF of a sum of i.i.d. random variables is the product of the MGFs of each distribution:

$M_{X_1+\cdots+X_n}(t)=M_{X_1}(t)\times\cdots\times M_{X_n}(t)$

So for a sum of Bernoulli-distributed i.i.d. random variables $X_i$ , we have

$M_{\sum\limits_{i=1}^nX_i}(t)=\displaystyle\prod_{i=1}^n(1-p+pe^t)=(1-p+pe^t)^n$

which is the MGF of the binomial distribution $\mathcal B(n,p)$ . (Indeed, the Bernoulli distribution is identical to the binomial distribution when $n=1$ .)

8 0

2 years ago

Shelly sleeps for 7 hours 30 minutes in a day. For how many hours did she sleep in the month of January?

kap26 [50]

Answer:

<u>Shelly slept 232 hours and 30 minutes in the month of January</u>

Step-by-step explanation:

31 days in January, so the equation will be

31 x 7.5 ( I wrote 0.5 because 30 minutes is half a day)

= 232.5 hours

Shelly slept 232 hours and 30 minutes in the month of January

8 0

1 year ago

Read 2 more answers

Can someone help me ? Its due today please

anastassius [24]

Answer:

x=3

y=5

Step-by-step explanation:

3x+2y=19

- 2x+2y=16

_____________

x=3

3(3)=9

19-9=10

10÷2=5

y=5

6 0

3 years ago

Read 2 more answers

Please help me with this

zhuklara [117]

Answer:

301.6 ft³

Step-by-step explanation:

The volume (V) of a cone is calculated using the formula

V = $\frac{1}{3}$ × area of base × perpendicular height (h)

h can be calculated by using Pythagoras' identity in the right triangle

with hypotenuse = 10 and legs 6 and h, thus

h² + 6² = 10²

h² + 36 = 100 ( subtract 36 from both sides )

h² = 64 ( take the square root of both sides )

h = $\sqrt{64}$ = 8

Hence

V = $\frac{1}{3}$ × π × 6² × 8

= $\frac{1}{3}$ × 288π = $\frac{288\pi }{3}$ ≈ 301.6

7 0

2 years ago

Q3. a. Simplify the following ratios.<br> 360:120:60

Maslowich

Answer:

6：2：1

Step-by-step explanation:

360÷60=6

120÷60=2

60÷60=1

4 0

2 years ago