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ivolga24 [154]
2 years ago
12

Matty jogs 9 km/hr. Identify the correct conversion factor setup required to compute Matty's speed in m/s.

Mathematics
1 answer:
Anastaziya [24]2 years ago
4 0

Answer:

2.5 m/s

Step-by-step explanation:

Matty's speed = 9 km/hr

We need to convert 9 km/hr to m/s

We know that,

1 km = 1000 m

1 hour = 3600 seconds

v=9\times \dfrac{1000\ m}{3600\ s}\\\\=2.5\ m/s

So, Matty jogs with the speed of 2.5 m/s.

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Which of the following equations has the same solutions as the equation 3x + 2y= -12
tatuchka [14]

Answer:

x= -2/3y-4

Step-by-step explanation:

3x+2y=-12

3x+2y-2y= -2y-12

3x=-2y-12

3x/3= -2y/3-12/3

x= -2/3y-4

6 0
3 years ago
The makers of a soft drink want to identify the average age of its consumers. A sample of 25 consumers was taken. The average ag
Lelu [443]

Answer:

a.1.90 years

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

In this question:

n = 25, \sigma = 3.8

So

M = 2.575*\frac{3.8}{\sqrt{25}} = 1.90

So the correct answer is:

a.1.90 years

8 0
3 years ago
Which equation is equivalent to
Paul [167]

Answer:

c) 3x - 45 = 10

Step-by-step explanation:

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Cross multiply,

3*(x - 15) = 2*5

3*x - 3*15 = 10

3x - 45 = 10

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Vertical stretch

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3 0
3 years ago
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Solve the equation.<br> a/4 − 5/6= −1/2
Masteriza [31]

Answer: a = 4/3

Step-by-step explanation:

1. a/4 − 5/6= −1/2 convert -1/2 to -3/6

2. a/4 = 5/6 - 3/6 = 2/6 = 1/3

3. a = 4*2/6 = 4*1/3

4. a = 4/3

4 0
2 years ago
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