Simplify. y 5 · y 3 ÷ y 2

Which set of rational numbers is arranged from least to greatest?

Studentka2010 [4]

Answer:The first choice

Step-by-step explanation:As you can see all other question have 1 before 1 over 9 which 1 over nine is about 0.1111...

6 0

3 years ago

|-1.43| - 7.1 + |-1.21| answer please

stellarik [79]

Hello.

Numbers with | | around them are the absolute value, meaning it is always positive.

|-1.43| and |-1.21| become 1.43 and 1.21

The equation is now 1.43 - 7.1 + 1.21

Solve.

1.43 - 7.1 + 1.21

-5.67 + 1.21

-4.46

-4.46 is the final answer.

8 0

4 years ago

Suppose a certain study reported that 27.7% of high school students smoke.

Norma-Jean [14]

Given:

Probability of student smoke,

P = 27.7%

= 0.277

Number of students,

n = 632

$q = 1-p$

$=1-0.277$

$=0.723$

(i)

Here,

Number of students (n) = 60

then,

⇒ $n_P=60\times 0.277$

$=16.62$

⇒ $n_q=60\times 0.723$

$=43.38$

We can see that $n_P > 10$ and $n_q>10$ so the normal approximation condition are met.

Now,

$\mu = n_P= 16.62$

$\sigma = \sqrt{n_{Pq}}$

$= \sqrt{60\times 0.277\times 0.723}$

$=3.9664$

Now,

⇒ $P(X$

$=P(Z_{18.5})$

The Z-score is:

= $\frac{18.5-16.62}{3.4664}$

= $0.5423$

hence,

The probability will be:

⇒ $P(Z_{18.5}) = 0.7062$

or,

⇒ $P(Z$

(ii)

Here,

Number of students (n) = 75

$\mu = n_P = 75\times 0.277$

$=20.775$

$\sigma = \sqrt{n_{Pq}}$

$=\sqrt{75\times 0.277\times 0.723}$

$=3.8756$

Now,

⇒ $P(X>17) = P(X> 17.5)$

$=1-P(X \leq 17.5)$

$=1-P(Z_{17.5})$

The Z-score is:

= $\frac{17.5-20.775}{3.8756}$

= $-0.9740$

then, $P(Z_{17.5}) = 0.165$

hence,

The probability will be:

⇒ $P(X>17) = 1-0.165$

$=0.835$

Learn more about probability here:

brainly.com/question/9825651

4 0

3 years ago

The area of a trapezoid is found using

Aleonysh [2.5K]

Answer:

288x+576

Step-by-step explanation:

A=12×h(b1+b2)

A=12×12(x+1+x+3)

A=144(2x+4)

A=288x+576

6 0

3 years ago

Which biconditional is NOT a good definition? A. Two line segments are congruent if and only if they are of same length. B. An a

morpeh [17]

D

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4 0

3 years ago