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malfutka [58]
3 years ago
5

expectation of 24.0 mm and a standard deviation of 0.3 mm. What are the expectation and variance of the length of the machine pa

rt
Mathematics
1 answer:
Elena L [17]3 years ago
4 0
Are you sure the question is written correctly? Sounds like the expectations would just be the same (24.0) and the variance is the square of the standard deviation (so it would be 0.09).
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Vedmedyk [2.9K]
45% of 76
45%=0.45
0.45*76
34.2
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so 34

6 0
2 years ago
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Decrease 784 in the ratio 3:4​
Y_Kistochka [10]

Answer:

336 and 448

Step-by-step explanation:

sum the ratio

divide the actual number by the sum i.e 784÷7=122

multiply 112 by 3 and by 4

4 0
3 years ago
A man is standing at a radar base and observes an unidentified plane at an altitude 6000m flying towards the radar base at an an
liubo4ka [24]

Answer:

The speed in of the plane is 115.47 m/sec

Step-by-step explanation:

Given:

Height at which the plane is flying = 6000 m

Angle of elevation at the radar base = 30 Degrees

Angle of elevation at the radar base after one minute  = 60 Degrees

To Find:

The Speed of the plane in meter per second = ?

Solution:

Let us use the tangent of the angle to find the distance (d) to a point directly below plane:

<u>when the angle is 30 degrees</u>

tan(30) = \frac{6000}{d1}

d1   = \frac{6000}{tan(30)}

d1 = \frac{6000}{0.577}

d1 = 10392.3 meters

<u>when the angle is 60 degrees</u>

tan(60) = \frac{6000}{d2}

d2  = \frac{6000}{tan(60)}

d2  = \frac{6000}{1.732}\\

d2 = 3464.1 meters

<u>distance travelled by aircraft in 1 min is  </u>

=>d1 - d2

=>0392.3 - 3464.1

= 6928.2 m/min

<u>Now converting to m/sec</u>

=>\frac{6928.2}{60}

=>115.47 m/sec

4 0
3 years ago
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Reil [10]

Answer:

D

Step-by-step explanation:

8 is LESS THAN 1/2x

so youd take those numbers and multiply by 1/2

C, B, and A are all under 8, so that would be wrong

when you multiply 1/2 with 17, you get 8.5 which is bigger than 8. then everything else above that is more than 8, therefore D is the right answer.

3 0
3 years ago
Read 2 more answers
In ΔUVW, w = 3 inches, ∠W=23° and ∠U=73°. Find the length of u, to the nearest 10th of an inch.
kirza4 [7]

Answer:

<h2>7.4inches</h2>

Step-by-step explanation:

Check the attachment for the diagram. Sine rule will be used to get the unknown side of the triangle.

According to the rule;

\frac{u}{sinU} =  \frac{v}{sinV} = \frac{w}{sinW}\\\frac{u}{sinU} = \frac{w}{sinW}

Given w = 3 in, ∠W=23° and ∠U=73°, on substituting into the equation above to get u we have;

\frac{u}{sin73^{0} } = \frac{3}{sin23^{0} }\\usin23^{0} = 3sin73^{0}\\u = \frac{3sin73^{0} }{sin23^{0} }\\u = \frac{2.87}{0.39} \\u = 7.358\\u = 7.4in

The length of u is 7.4inches to nearest 10th of an inch

6 0
3 years ago
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