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rosijanka [135]
2 years ago
5

Solve. y =-2x + 9 y =4x-3

Mathematics
1 answer:
sammy [17]2 years ago
5 0

Answer:

X= 2 Y=5

Step-by-step explanation:

Set them equal

-2x+9=4x-3 add -2x to both sides and -3 to both sides

12=6x then divide by 6

x=2

plug in 2 to either equation and solve for Y.

Y=-2(2)+9

Y=5

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What is the value of tan (B) in the diagram?
hodyreva [135]

Answer:

The correct answer is third option

1/√3

Step-by-step explanation:

From the figure we can see a right angled triangle ABC.

Right angled at C.

AB = 10

AC = 5

BC = 5√3

<u>Points to remember</u>

Tan θ = Opposite side/Adjacent side

<u>To find the value of tan(B)</u>

Tan B =  Opposite side/Adjacent side

 = AC/BC

 = 5/5√3

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Therefore the value of tan(B) =  1/√3

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marshall27 [118]

Answer:

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Step-by-step explanation:

Add all the areas up

12+36+12+36=96

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3 years ago
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2 years ago
The American Psychological Associated conducted a survey in 2003 of psychologists to estimate the average incomes for psychologi
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This question is incomplete, the complete question;

The American Psychological Associated conducted a survey in 2003 of psychologists to estimate the average incomes for psychologists based on their academic degree and years of experience. 36 psychologists responded who had a just received their masters degree in 2003. The average was $48,800 with a standard deviation of $16,800.

The 95% Confidence Interval is ($, $ )

Answer:

at 95%, confidence interval is ( $43312, $54288 )

Step-by-step explanation:

Given the data in the question;

sample size n = 36

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standard deviation σ = 16,800

at 95% confidence level;

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now, confidence interval for population mean is given by the formula

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so we substitute

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⇒ ( 43312, 54288 )

Therefore, at 95%, confidence interval is ( $43312, $54288 )

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