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jolli1 [7]
3 years ago
15

Bill is bisecting an angle with technology. Which of the following describes his next step?

Mathematics
1 answer:
mojhsa [17]3 years ago
7 0

Answer:

the first step is correct

Step-by-step explanation:

the first step is correct

then draw 2 circles with the same radius with centre  D and E ( the point BC intersect the first circle )

Where the 2 circles are intersecting is the point F

Then BF is the bisector

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Divide 120 in the ratio of 1:2
antiseptic1488 [7]

Ratio given 1:2

Let's suppose the ratio as x : 2x

Adding the ratio = 3x

\frac{x}{3x}  \times 120 \\ =40

\frac{2x}{3x}  \times 120 \\= 80

40 and 80 are in the ratio 1:2 of 120.

Hope it helps!!!

7 0
3 years ago
Read 2 more answers
Justin did push-ups for the past 555 days.The following data points are the number of push-ups he did each day.
Vitek1552 [10]

Answer: σ: 2.76

Step-by-step explanation:

Count, N: 5

Sum, Σx: 125

Mean, μ: 25

Variance, σ2:  7.6

Steps

look at attached pic for formula

σ^2 = \frac{Σ(xi - μ)^{2} }{N}

\frac{(21 - 25)2 + ... + (29 - 25)2}{5}

⇒ \frac{38}{5}

⇒ 7.6

σ =  \sqrt{7.6}

⇒   2.756809750418

⇒ or 2.76

3 0
2 years ago
Of all rectangles with a perimeter of 7​, which one has the maximum​ area? (give the​ dimensions.)
Elena L [17]
The rectangle with maximum area will actually be a square.

Each side will be of length  7/4 = 1 3/4.
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 <em>X </em>is 2.2.

(b) The standard deviation of <em>X</em> is 1.3.

Step-by-step explanation:

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

The probability distribution of <em>X</em> id provided.

The formula to compute the mean or expected value of <em>X </em>is:

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

The formula to compute the standard deviation of <em>X </em>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 <em>X</em> 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 <em>X </em>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 <em>X</em> 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 <em>X</em> is 1.3.

4 0
4 years ago
Read 2 more answers
Miles plans on leasing a new car and has been researching options from different dealerships. For the particular model he wants,
Mashcka [7]

slope intercept form = y=mx +b

where m would be the slope and b is the y intercept

equations would be:

cool cars: y = 179x +1999

awesome autos: y = 249x


3 0
3 years ago
Read 2 more answers
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