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Soloha48 [4]
2 years ago
9

Write the equation with the following characteristics: slope: m=-2, y-intercept: b=5

Mathematics
1 answer:
Mariana [72]2 years ago
8 0

Answer:

y=-2x+5

Step-by-step explanation:

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if I have a binomial distribution where n equals 8 trials and a probability of success equals 0.40 what is the successes of X is
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P(success) = 0.4   P(failure) = 0.6

8C2 (0.4)² * (0.6)^6

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A three inch diameter pulley on an electric motor that runs at 1800
Bezzdna [24]

Answer:

a) 3 inch pulley: 11,309.7 radians/min

6) 6 inch pulley: 5654.7 radians/min

b) 900 RPM (revolutions per minute)

Step-by-step explanation:

Hi!

When a pulley wirh radius R rotantes an angle θ, the arc length travelled by a point on its rim is Rθ.  Then the tangential speed V is related to angular speed  ω as:

V=R\omega

When you connect two pulleys with a belt, if the belt doesn't slip, each point of the belt has the same speed as each point in the rim of both pulleys: Then, both pulleys have the same tangential speed:

\omega_1 R_1 = \omega_2 R_2\\

\omega_2 = \omega_1 \frac{R_1}{R_2} =1800RPM* \frac{3}{6}= 900RPM

We need to convert RPM to radias per minute. One revolution is 2π radians, then:

\omega_1 = 1800*2\pi \frac{radians}{min} = 11,309.7\frac{radians}{min}

\omega_2 = 5654.7 \frac{radians}{min}

The saw rotates with the same angular speed as the 6 inch pulley: 900RPM

3 0
3 years ago
In TUV below, find m T to the nearest degree
Andre45 [30]

Answer:

T = 88 degrees to the nearest degree

Step-by-step explanation:

To find the measure of the angle T, we can use the cosine rule

We have the formula as;

t^2 = u^2 + v^2 - 2uv Cos T

t = 8.1

u = 7.1

v = 4.2

8.1^2 = 7.1^2 + 4.2^2 - 2(7.1)(4.2) cos T

-2.44 = -59.64 cos T

cos T = (2.44)/(59.64)

T = arc cos (2.44/59.64)

T = 87.66

to the nearest degree, this is 88 degrees

7 0
2 years ago
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