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elena55 [62]
3 years ago
5

Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS,and 25 cents per off-peak time SMS.

if she sends 45 SMSs during peak time and 105 SMSs during off-peak time In a month, what will her monthly bill come to?
Mathematics
1 answer:
algol [13]3 years ago
6 0

Answer:

Anita's monthly bill will be $164.25.

Step-by-step explanation:

Since Anita has a cellphone contract that costs her R100 per month plus 85 cents per peak time SMS, and 25 cents per off-peak time SMS, if she sends 45 SMSs during peak time and 105 SMSs during off-peak time In a month To determine what will her monthly bill come to, the following calculation must be performed:

100 + (0.85 x 45) + (0.25 x 105) = X

100 + 38.25 + 26.25 = X

138.25 + 26.25 = X

164.25 = X

Therefore, her monthly bill will be $ 164.25.

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Consider an airplane heading due east at 150 miles/hour relative to the air. The wind is blowing at 7.1 miles/hour at 45º south
sergij07 [2.7K]

We have

<span>Va(airplane)=150  East</span>

Vw(wind)=7.1 South East

<span>
</span><span>resulting vector R</span>

airplane

Vax=150    Vay=0   it only has component x 


Wind
Vwx=7.1*cos45=5.02

Vwy=7.1*sin45=-5.02 is negative because is South direction

 |R|=(Rx^2+Ry^2) ^0.5

Rx=150+5.02=155.02

Ry=0-5.02=-5.02

<span>|R|=155.10 miles/hour South East</span>

Determine angle θ

Rx=R*cos(θ)

<span>Cos(θ)=Rx/R</span> <span>Cos(θ)=155.02/155.10=0.9995</span>

 θ =arc cos Rx/R θ =1.8119 º

 Rx represents the component in the East direction of the resultant force. Your contribution is given by both, the force of the plane and the wind. The contribution of the wind makes the airplane's speed greater

 Ry represents the component in the South direction of the resulting force Its contribution is exclusive of the wind since the airplane has no component in this direction

 |R| the force resulting from the combined action of the force of the plane and the force of the wind

 θ represents the angle that forms the resultant force with respect to the x axis or east direction

5 0
3 years ago
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The proportion of left handed people in the population is about 0.10. Suppose a random sample of 300 people is observed. (a) Wha
pantera1 [17]

Answer: (\hat{p})\sim N(0.10,\ 0.017)

Step-by-step explanation:

Sampling distribution of the sample proportion (\hat{p}) :

(\hat{p})\sim N(p,\ \sqrt{\dfrac{p(1-p)}{n}})

The sampling distribution of the sample proportion (\hat{p}) has mean = \mu_{\hat{p}}=p and standard deviation = \sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}.

Given : The proportion of left handed people in the population is about 0.10.

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sample size : n= 300

Then , the sampling distribution of the sample proportion(\hat{p}) will be :-

(\hat{p})\sim N(0.10,\ \sqrt{\dfrac{0.10(1-0.10)}{300}})

(\hat{p})\sim N(0.10,\ \sqrt{0.0003})

(\hat{p})\sim N(0.10,\ 0.017)  (approx)

Hence, the sampling distribution of the sample proportion(\hat{p}) is (\hat{p})\sim N(0.10,\ 0.017)

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Step-by-step explanation:

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