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3 years ago

Which of the following expressions is in simplified form?

Mathematics

1 answer:

bulgar [2K]3 years ago

8 0

Answer:

None of these expressions are in simplified form.

Step-by-step explanation: So basically simplified form is that an equation/expression is till you cant combine any like terms. Liked terms are like 4 and 5 or 2x and 3x.

Number 1_ 2.7x-8.2.

Number 2_ 4.3w. Is the 03 a 3 or 0.3?

Number 3_ 58.

Number 4_ t-5. Is the 02t a 2t or 0.2t?

I hope this helps and please let me know about the questions on Number 2 and 4 that I asked about in the explanation below in the comments. Thanks!

You might be interested in

Four buses carrying 146 high school students arrive to Montreal. The buses carry, respectively, 32, 44, 28, and 42 students. One

Naily [24]

Answer:

The expected value of X is $E(X)=\frac{2754}{73} \approx 37.73$ and the variance of X is $Var(X)=\frac{226192}{5329} \approx 42.45$

The expected value of Y is $E(Y)=\frac{73}{2} \approx 36.5$ and the variance of Y is $Var(Y)=\frac{179}{4} \approx 44.75$

Step-by-step explanation:

(a) Let X be a discrete random variable with set of possible values D and probability mass function p(x). The expected value, denoted by E(X) or $\mu_x$ , is

$E(X)=\sum_{x\in D} x\cdot p(x)$

The probability mass function $p_{X}(x)$ of X is given by

$p_{X}(28)=\frac{28}{146} \\\\p_{X}(32)=\frac{32}{146} \\\\p_{X}(42)=\frac{42}{146} \\\\p_{X}(44)=\frac{44}{146}$

Since the bus driver is equally likely to drive any of the 4 buses, the probability mass function $p_{Y}(x)$ of Y is given by

$p_{Y}(28)=p_{Y}(32)=p_{Y}(42)=p_{Y}(44)=\frac{1}{4}$

The expected value of X is

$E(X)=\sum_{x\in [28,32,42,44]} x\cdot p_{X}(x)$

$E(X)=28\cdot \frac{28}{146}+32\cdot \frac{32}{146} +42\cdot \frac{42}{146} +44 \cdot \frac{44}{146}\\\\E(X)=\frac{392}{73}+\frac{512}{73}+\frac{882}{73}+\frac{968}{73}\\\\E(X)=\frac{2754}{73} \approx 37.73$

The expected value of Y is

$E(Y)=\sum_{x\in [28,32,42,44]} x\cdot p_{Y}(x)$

$E(Y)=28\cdot \frac{1}{4}+32\cdot \frac{1}{4} +42\cdot \frac{1}{4} +44 \cdot \frac{1}{4}\\\\E(Y)=146\cdot \frac{1}{4}\\\\E(Y)=\frac{73}{2} \approx 36.5$

(b) Let X have probability mass function p(x) and expected value E(X). Then the variance of X, denoted by V(X), is

$V(X)=\sum_{x\in D} (x-\mu)^2\cdot p(x)=E(X^2)-[E(X)]^2$

The variance of X is

$E(X^2)=\sum_{x\in [28,32,42,44]} x^2\cdot p_{X}(x)$

$E(X^2)=28^2\cdot \frac{28}{146}+32^2\cdot \frac{32}{146} +42^2\cdot \frac{42}{146} +44^2 \cdot \frac{44}{146}\\\\E(X^2)=\frac{10976}{73}+\frac{16384}{73}+\frac{37044}{73}+\frac{42592}{73}\\\\E(X^2)=\frac{106996}{73}$

$Var(X)=E(X^2)-(E(X))^2\\\\Var(X)=\frac{106996}{73}-(\frac{2754}{73})^2\\\\Var(X)=\frac{106996}{73}-\frac{7584516}{5329}\\\\Var(X)=\frac{7810708}{5329}-\frac{7584516}{5329}\\\\Var(X)=\frac{226192}{5329} \approx 42.45$

The variance of Y is

$E(Y^2)=\sum_{x\in [28,32,42,44]} x^2\cdot p_{Y}(x)$

$E(Y^2)=28^2\cdot \frac{1}{4}+32^2\cdot \frac{1}{4} +42^2\cdot \frac{1}{4} +44^2 \cdot \frac{1}{4}\\\\E(Y^2)=196+256+441+484\\\\E(Y^2)=1377$

$Var(Y)=E(Y^2)-(E(Y))^2\\\\Var(Y)=1377-(\frac{73}{2})^2\\\\Var(Y)=1377-\frac{5329}{4}\\\\Var(Y)=\frac{179}{4} \approx 44.75$

8 0

3 years ago

Is 3x-5+y=2y-4 linear if so write the equation in standard form and give the values of A B and C

ruslelena [56]

Equation in standard form:
Ax+By=C

We have:
3x-5+y=2y-4
3x+y-2y=-4+5
3x-y=1

Therefore:
A=3
B=-1
C=1

Answer: the equation in standard form would be: 3x-y=1; and the values of A, B and C would be: A=3; B=-1 and C=1.

8 0

3 years ago

On the 7th grade field trip to Washington D.C for every 8 students there were 3 chaperones. 12 chaperones were needed. How many

irinina [24]

32 students would be on the trip. What I did to solve it was a proportion. 8students/ 3 chaperones= x students/12 chaperones.
8*12= 96 and 96/3=32. Therefore 32 students were on the trip.

3 0

3 years ago

CAN YOU PLS HELP ME WITH THIS I NEED THIS NOW!! I WILL GIVE BRAINLY TO BEST ANSWER THANK YOU!!

charle [14.2K]

Answer:

35d+ 32 > 25d+68

Step-by-step explanation:

Plan A: $35 a day plus a fee of $32

35d+ 32

Plan B: $25 a day plus a fee of $68

25d+68

We want to know when A costs more than B

35d+ 32 > 25d+68

6 0

3 years ago

When you solve a problem involving money, what can a negative answer represent?

kow [346]

That you owe someone some money

6 0

3 years ago