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nexus9112 [7]
2 years ago
10

Ramon has $80.00 saved from mowing yards and raking leaves. If half of his money came from mowing yards, how much money came fro

m raking leaves?
Mathematics
1 answer:
Irina-Kira [14]2 years ago
6 0

Answer:

$40

Step-by-step explanation:

Ramon has $80 saved

half of it came from mowing yard

therefore 80/2 = 40

the rest from raking leaves

80-40=40

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Answer:

<h3>Option c) H_a:\mu is correct</h3><h3>The alternate hypothesis for the significance test is H_a:\mu</h3>

Step-by-step explanation:

The alternate hypothesis use the sumbol for the population value

Let p be the proportion , Mean be \mu and stadard deviation be \sigma

The null hypothesis states that population value is equal to the value mentioned in the given claim.

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3 years ago
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3 years ago
A 2000 gallon fish aquarium can be filled by water flowing at a constant rate in 10 hours. When a decorativve rock is placed in
Elza [17]

Answer:

The volume of the rock is 13.368 cubic feet.

Step-by-step explanation:

The volume of the rock (V_{r}), measured in gallons, is equal to the volume of the fish aquarium without the decorative rock (V') minus the volume of the fish aquarium with the decorative rock (V''), both measured in gallons.

Since the water flow is at constant rate, the volume of the rock is expressed by the following equation:

V_{r} = V' - V''

V_{r} = \dot V \cdot (\Delta t_{1}-\Delta t_{2}) (1)

Where:

\dot V - Flow rate, measured in gallons per hour.

\Delta t_{1} - Filling time of the fish aquarium without the decorative rock, measured in hours.

\Delta t_{2} - Filling time of the fish aquarium with the decorative rock, measured in hours.

And the flow rate is:

\dot V = \frac{2000\,gal}{10\,h}

\dot V = 200\,\frac{gal}{h}

The flow rate is 200 gallons per hour.

If we know that \dot V = 200\,\frac{gal}{h}, \Delta t_{1} = 10\,h and \Delta t_{2} = 9.5\,h, then the volume of the rock is:

V_{r} = \left(200\,\frac{gal}{h}\right)\cdot (10\,h-9.5\,h)

V_{r} = 100\,gal

V_{r} = 13.368\,ft^{3}

The volume of the rock is 13.368 cubic feet.

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