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scoundrel [369]
3 years ago
10

Plane A leaves the Calgary airport at a bearing of 70 degrees and travels a distance of 420km. Plane B leaves the Calgary airpor

t at a bearing of 280 degrees and travels a distance of 340km. How far apart are the planes to the nearest kilometre.
Mathematics
1 answer:
HACTEHA [7]3 years ago
5 0

Answer:

16650 km

Step-by-step explanation:

If plane A leaves from Calgary airport at a nearing of 70 degree, it would end up on the first quadrant. Since we are not given exact bearing here we would assume both planes begin from the first quadrant, they move from North. Example plane A moves North 70 degrees.

Plane B will move North 280 degrees and end up in the fourth quadrant (because each quadrant is 90 degrees so we would have 90+90+90+10=280)

Distance apart = 70+80=150 degrees( since all four quadrants =360 degrees)

1 degree= 111km (approximate metric equivalent of degrees)

Therefore distance apart = 150 degrees ×111km = 16650km

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1073741824 or 1.07x10^09
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Let the original amount be A.  Double that would be 2A.

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3 years ago
A marketing organization claims that more than 10% of its employees are paid minimum wage. If a hypothesis test is performed tha
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Answer:

there is insufficient evidence to support the claim that more than 10% of the employees are paid minimum wage.

Step-by-step explanation:

Given that:

A marketing organization claims that more than 10% of its employees are paid minimum wage.

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H_o : p = 10

The alternative hypothesis is:

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If a hypothesis test is performed that fails to reject the null hypothesis, how would this decision be interpreted

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8 0
3 years ago
Heights​ (cm) and weights​ (kg) are measured for 100 randomly selected adult​ males, and range from heights of 139 to 192 cm and
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Answer:

The weight of an adult male who is 158 cm tall is 59.32 kg.

Step-by-step explanation:

The regression equation representing the relationship between height and weight of a person is:

\hat y=-105+1.04 x

Here,

<em>y</em> = weight of a person (in kg)

<em>x</em> = height of a person (in cm)

The information provided is:

\bar x=167.77\ \text{cm}\\\bar y=81.54\ \text{cm}\\r(X, Y)=0.201\\p-value=0.045

The significance level of the test is, <em>α</em> = 0.01.

The hypothesis to test the significance of the correlation between height and weight is:

<em>H₀</em>: There is no relationship between the height and weight, i.e. <em>ρ</em> = 0.

<em>Hₐ</em>: There is a relationship between the height and weight, i.e. <em>ρ</em> ≠ 0.

Decision rule:

If the <em>p</em>-value of the test is less than the significance level, then the null hypothesis will be rejected and vice-versa.

According to information provided:

<em>p</em>-value = 0.045 > 0.01

The null hypothesis will not be rejected at 1% level of significance.

Thus, concluding that there is no relationship between the height and weight.

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\hat y=-105+1.04 x

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6 0
3 years ago
3Q + 5 + 2 - 8 - 5 equals 65
Usimov [2.4K]
Answer
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Proof
3Q+5+2-8-5=65        ~ Simplify
3Q-6=65                      ~Cancel out the six
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 /3     /3                          ~Cancel out the three.
Answer                         ~Divide both sides by 3
Q=23.66                        
Rounded Up
Q=23.70

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