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icang [17]
2 years ago
6

Select the line segment A. B. C. D.

Mathematics
2 answers:
krok68 [10]2 years ago
7 0

Answer:  D i think

Step-by-step explanation:

saul85 [17]2 years ago
3 0

Answer:

A

Step-by-step explanation:

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Find the difference. 4/9-1/3
Iteru [2.4K]
1/9

Find the common denominator, 1/3 can be multiplied to get to ninths. 1/3 is equivalent to 3/9, and so 4/9 minus 3/9 is 1/9.
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3 years ago
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Q2. A train travels at a constant speed of 45 m/s. a) Calculate the distance travelled by the train in:
alex41 [277]

Answer:

i) 1350 m

ii) 5400 m

Step-by-step explanation:

<u>Formula for Speed</u>

\boxed{\sf Speed=\dfrac{Distance}{Time}}

Rearrange the formula so that Distance is the subject:

\implies \sf Distance = Speed \times Time

<h3><u>Question (i)</u></h3>

Given:

  • Speed = 45 m/s (meters per second)
  • Time = 30 seconds

Substitute the given values into the formula for distance:

\implies \sf Distance = 45 \times 30 = 1350\:m

<h3><u>Question (ii)</u></h3>

Given:

  • Speed = 45 m/s (meters per second)
  • Time = 2 minutes

As the time is given in a different unit of time as the speed, we must first convert the time into seconds:

1 minute = 60 seconds

⇒ 2 minutes = 60 × 2 = 120 seconds

Therefore:

  • Speed = 45 m/s (meters per second)
  • Time = 120 seconds

Substitute the values into the formula for distance:

\implies \sf Distance = 45 \times 120 = 5400\:m

3 0
9 months ago
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Given the following formula, solve for n. S = (n − 2)180
sweet [91]

Answer: B

Step-by-step explanation:

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A manufacturer of golf equipment wishes to estimate the number of left-handed golfers. A previous study indicates that the propo
never [62]

Answer:

A sample of 997 is needed.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

A previous study indicates that the proportion of left-handed golfers is 8%.

This means that \pi = 0.08

98% confidence level

So \alpha = 0.02, z is the value of Z that has a p-value of 1 - \frac{0.02}{2} = 0.99, so Z = 2.327.  

How large a sample is needed in order to be 98% confident that the sample proportion will not differ from the true proportion by more than 2%?

This is n for which M = 0.02. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.02 = 2.327\sqrt{\frac{0.08*0.92}{n}}

0.02\sqrt{n} = 2.327\sqrt{0.08*0.92}

\sqrt{n} = \frac{2.327\sqrt{0.08*0.92}}{0.02}

(\sqrt{n})^2 = (\frac{2.327\sqrt{0.08*0.92}}{0.02})^2

n = 996.3

Rounding up:

A sample of 997 is needed.

3 0
3 years ago
For which value of x is the equation 4x + 24 = 8x + 2x true?
Paha777 [63]

Answer:

x=4

Step-by-step explanation:

4x+24=8x+2x

4x+24=10x

-4x     -4x

24=6x

/6   /6

x=4

3 0
3 years ago
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