Given the perimeter is 180cm what is the length and breadth of the rectangle?

This diagram was constructed with straightedge and compass tools. A is the center of one circle, and C is the center of the othe

Mariulka [41]

Answer: an=bc

Step-by-step explanation:

3 0

2 years ago

What does x equal in the equation 4x + (−3) = 5x + 3?

fgiga [73]

Answer:

x = -6

Step-by-step explanation:

First write the equation.

4x + -3 = 5x + 3

The isolate x in the equation. Add -4x to both sides.

4x + -3 + -4x = 5x + 3 + -4x

-3 = x + 3

Then add -3 to both sides.

-3 + -3 = x + 3 + -3

-6 = x

Now you have the value of x = -6.

Cheers.

3 0

3 years ago

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Sam's closet contains blue and green shirts. He has eight blue shirts, and seven green shirts. Five of the blue shirts have stri

Bas_tet [7]

Answer: The answer is 80%.

Step-by-step explanation: Let us define the following events.

B = the event that the shirt is blue,

G = the event that the shirt is green

and

S = the event that the shirt is striped.

So, n(B) = 8, n(G) = 7, n(B and S) = 5, n(G and S) = 4.

n(S) = 5 + 4 = 9.

We have

$n(B\cup S)=n(B)+n(S)-n(B\cap S)=8+9-5=12.$

Therefore, the required probability is

$p=\dfrac{n(B\cup S)}{8+7}=\dfrac{12}{15}=\dfrac{4}{5}=0.8=80\%.$

Thus, the answer is 80%.

3 0

3 years ago

A commuter must pass through 5 traffic lights on her way to work and will have to stop at each one that is red. She estimates th

sergij07 [2.7K]

Answer:

(a) The mean or expected value of X is 2.2.

(b) The standard deviation of X is 1.3.

Step-by-step explanation:

Let X = number of times the traffic light is red when a commuter passes through the traffic lights.

The probability distribution of X id provided.

The formula to compute the mean or expected value of X is:

$\mu=E(X)=\sum x.P(X=x)$

The formula to compute the standard deviation of X is:

$\sigma=\sqrt{E(X^{2})-(E(X))^{2}}$

The formula of E (X²) is:

$E(X^{2})=\sum x^{2}.P(X=x)$

(a)

Compute the expected value of X as follows:

$E(X)=\sum x.P(X=x)\\=(0\times0.06)+(1\times0.25)+(2\times0.35)+(3\times0.15)+(4\times0.13)+(5\times0.06)\\=2.22\\\approx2.2$

Thus, the mean or expected value of X is 2.2.

(b)

Compute the value of E (X²) as follows:

$E(X^{2})=\sum x^{2}.P(X=x)\\=(0^{2}\times0.06)+(1^{2}\times0.25)+(2^{2}\times0.35)+(3^{2}\times0.15)+(4^{2}\times0.13)+(5^{2}\times0.06)\\=6.58$

Compute the standard deviation of X as follows:

$\sigma=\sqrt{E(X^{2})-(E(X))^{2}}\\=\sqrt{6.58-(2.22)^{2}}\\=\sqrt{1.6516}\\=1.285\\\approx1.3$

Thus, the standard deviation of X is 1.3.

4 0

3 years ago

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Translate the sentence into an inequality.

blagie [28]

Let the no be x

Inequality given by

$\\ \sf\longmapsto 2(x-4)\leqslant -18$

Let's solve

$\\ \sf\longmapsto x-4\leqslant -9$

$\\ \sf\longmapsto x\leqslant -5$

3 0

2 years ago

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