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2 years ago

What the answer to the question

Mathematics

1 answer:

ruslelena [56]2 years ago

5 0

Answer:

Step-by-step explanation:

When we know two sides and the included angle, there is a formula we can use.

We know angle C = 35º, and sides a = 20cm and b = 19.5cm.

using the formula

Area =(½)ab sin C(angle)

Put in the values we know:

(20×19.5÷2)×sin(35)=

111.8474050885 cm^2

rounded = 111.85 cm^2

answer is c

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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.

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3 years ago

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Use the given graph to determine the limit, if it exists.

Aleksandr-060686 [28]

As x approaches 3 from the right, the limit is 3. There is a closed hole up there AT x=3 y=7, but we don't care about what happens AT x=3, only what happens as x APPROACHES 3.

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2 years ago

X-4y=-21 8y-x=45 Solve the system (X,y)=

meriva

Answer:

$\displaystyle (3, 6)$

Step-by-step explanation:

{x -4y = −21

{8y - x = 45

_________

$\displaystyle \frac{4y}{4} = \frac{24}{4} \\ \\$

$\displaystyle y = 6$ [Plug this back into both equations above to get the x-coordinate of 3]; $\displaystyle 3 = x$

I am joyous to assist you anytime.

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3 years ago

What is the average monthly income for these weekly incomes: $256.00, $243.50, $252.05, $261.18, $225.93, $250.47

Vaselesa [24]

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Answer:yes

Step-by-step explanation:

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