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Soloha48 [4]
2 years ago
5

Solve the equation 4 sin (x +30°) = 2for 0 < x < 365​

Mathematics
1 answer:
tatuchka [14]2 years ago
3 0

>

4 \sin(x + 30)  = 2 \\  \sin(x + 30 ) =  \frac{2}{4}   \\  \sin(x + 30)  =  \frac{1}{2}  \\  \sin(x + 30)  =  \sin(30)  \\ x + 30 = 30 \\ x = 30 - 30 \\ x = 0

Hence, x = 0°, 180° and 360° <em><u>Ans</u></em>

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Serggg [28]

20 divided by 1/3 = 6 2/3, therefore Ms Chavez used 6 and two thirds of eggs.

3 0
2 years ago
The weight distribution of parcels sent in a certain manner is normal with meanvalue 12 pounds and standard deviation 3.5 pounds
tino4ka555 [31]

Answer:

The parcel with weight less than 20.14 pounds are 99% of all parcels under the surcharge weight.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 12 pounds

Standard Deviation, σ = 3.5 pounds

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.99

P( X < x) = P( z < \displaystyle\frac{x - 12}{3.5})=0.99  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 12}{3.5} = 2.326\\\\x = 20.141\approx 20.14  

Thus, parcel with weight less than 20.14 pounds are 99% of all parcels under the surcharge weight.

7 0
3 years ago
An airplane is flying from Redville to leek.The airplane flies 50 miles East and then 180 miles South .how far is leek from Redv
r-ruslan [8.4K]

Answer:

230

Step-by-step explanation:

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Answer:

The third and fifth are correct

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8 0
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Can someone help me with this.​
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