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2 years ago

13

Whats the area of the square if the sides are 4/3?

2 answers:

Paraphin [41]2 years ago

5 0

Answer:

16/9

Step-by-step explanation:

Area =4/3×4/3= 16/9

Marianna [84]2 years ago

3 0

Answer:

$\frac{16}{9}$ units²

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the measure of the side )

Here s = $\frac{4}{3}$ , then

A = $\frac{4}{3}$ × $\frac{4}{3}$ = $\frac{16}{9}$

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Find the inverse of ????−7 −2

Masja [62]

Answer:

$A^{-1}=\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}$

Step-by-step explanation:

$A=\begin{bmatrix}-7 & -2\\ 4 & 1\end{bmatrix}$

$det\ A=-7\times 1-(-2)\times 4\\\Rightarrow det\ A=1$

$A^{-1}=\frac{1}{det\ A}\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}\\\Rightarrow A^{-1}=\frac{1}{1}\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}\\\Rightarrow A^{-1}=\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}$

$\therefore A^{-1}=\begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}$

$A.A^{-1}=\begin{bmatrix}-7 & -2\\ 4 & 1\end{bmatrix}\times \begin{bmatrix}1 & 2\\ -4 & -7\end{bmatrix}\\\Rightarrow A.A^{-1}=\begin{pmatrix}\left(-7\right)\cdot \:1+\left(-2\right)\left(-4\right)&\left(-7\right)\cdot \:2+\left(-2\right)\left(-7\right)\\ 4\cdot \:1+1\cdot \left(-4\right)&4\cdot \:2+1\cdot \left(-7\right)\end{pmatrix}\\\Rightarrow A.A^{-1}=\begin{pmatrix}1&0\\ 0&1\end{pmatrix}$

Hence, confirmed

6 0

3 years ago

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

aev [14]

Answer:

P(X < 3) = 0.7443

Step-by-step explanation:

We are given that the random variable X has a binomial distribution with the given probability of obtaining a success. Also, given n = 6, p = 0.3.

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 = 6

r = number of success = less than 3

p = probability of success which in our question is 0.3.

LET X = a random variable

So, it means X ~ $Binom(n=6, p=0.3)$

Now, Probability that X is less than 3 = P(X < 3)

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

= $\binom{6}{0}0.3^{0} (1-0.3)^{6-0}+ \binom{6}{1}0.3^{1} (1-0.3)^{6-1}+ \binom{6}{2}0.3^{2} (1-0.3)^{6-2}$

= $1 \times 1 \times 0.7^{6} +6 \times 0.3^{1} \times 0.7^{5} +15 \times 0.3^{2} \times 0.7^{4}$

= 0.11765 + 0.30253 + 0.32414 = 0.7443

Therefore, P(X < 3) = 0.7443.

5 0

2 years ago

HELP PLS THIS IS DUE TODAY

Lesechka [4]

Answer: length is 30

Step-by-step explanation:

length times width is area

A= L * W

W= 2/3L

600= L * $\frac{2}{3}$ L

$600=\frac{2}{3} L^{2} \\\frac{3}{2} (600)=L^{2} \\900=L^{2} \\30=L$

6 0

2 years ago

Write a equation in standard form that represents the points (1, -4) and (3,-5) Answer for

serious [3.7K]

Answer:

Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y.

9x+3y = 36

3y= - 9x + 36

y = -3x + 12

The slope, m = -3

------------------

The slope of lines parallel is the same.

The slope of lines perpendicular is the negative inverse, m = +1/3

----------------

Use y = mx + b and the point (1,2) to find b.

2 = (1/3)*1 + b

b = 5/3

The equation is y = (1/3)x + 5/3 (slope-intercept form)

x - 3y = -5 (standard form)

Step-by-step explanation:please give me brainliest

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2 years ago

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Help ASAP I’ll give brainliest

tensa zangetsu [6.8K]

The correct answer is supplementary angles, because angles 1 and 2 add up to 180°.

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2 years ago

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