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3 years ago

Simplify: 18 - ⎷81 + 9 · 3⁴ - (3 - 2 + 9) ÷ 2

Mathematics

1 answer:

Misha Larkins [42]3 years ago

3 0

Answer:

733

Step-by-step explanation:

18 - √81 + 9 × 3⁴ - ( 3 - 2 + 9 ) ÷ 2

18 - 9 + 9 × 81 - ( 10 ) ÷ 2

(18 - 9) + (9 × 81) (-10 ÷ 2)

9 + 729 - 5

738 - 5

733

I hope this helps!

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2 years ago

Which of the following expressions represents "no more than 5"?

777dan777 [17]

Answer:

Ox>5

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3 years ago

6-2(x+6)=3x+4 ...............................

juin [17]

Answer:

x=−2

Step-by-step explanation:

1 Expand.

6-2x-12=3x+4

6−2x−12=3x+4

2 Simplify 6-2x-126−2x−12 to -2x-6−2x−6.

-2x-6=3x+4

−2x−6=3x+4

3 Add 2x2x to both sides.

-6=3x+4+2x

−6=3x+4+2x

4 Simplify 3x+4+2x3x+4+2x to 5x+45x+4.

-6=5x+4

−6=5x+4

5 Subtract 44 from both sides.

-6-4=5x

−6−4=5x

6 Simplify -6-4−6−4 to -10−10.

-10=5x

−10=5x

7 Divide both sides by 55.

-\frac{10}{5}=x

−

8 Simplify \frac{10}{5}

to 22.

-2=x

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9 Switch sides.

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4 0

3 years ago

Question 4 options: Find the mean and standard deviation for a binomial distribution with 680 trials and a probability of succes

lys-0071 [83]

Answer:

Mean for a binomial distribution = 374

Standard deviation for a binomial distribution = 12.97

Step-by-step explanation:

We are given a binomial distribution with 680 trials and a probability of success of 0.55.

The above situation can be represented through Binomial distribution;

$P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....$

where, n = number of trials (samples) taken = 680 trials

r = number of success

p = probability of success which in our question is 0.55

So, it means X ~ $Binom(n=680, p=0.55)$

Now, we have to find the mean and standard deviation of the given binomial distribution.

Mean of Binomial Distribution is given by;

E(X) = n $\times$ p

So, E(X) = 680 $\times$ 0.55 = 374

Standard deviation of Binomial Distribution is given by;

S.D.(X) = $\sqrt{n \times p \times (1-p)}$

= $\sqrt{680 \times 0.55 \times (1-0.55)}$

= $\sqrt{680 \times 0.55 \times 0.45}$ = 12.97

Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.

3 0

3 years ago

Please help me with these questions

Mariana [72]

Answer:

A1=59

A2=85

A3=49

A4=no.because strait lines add up to 180 and it does not

B1=x=133andy=133

B2=53,61,and 56

B3=x=37andy= 37

B4=x=54and y=68

C1=y= 43and x=51

8 0

2 years ago

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