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Elenna [48]
3 years ago
6

A spinner has 5 equal sections numbered 1 to 5. What is the probability of the spinner stopping on a number that is a multiple o

f 2 or is less than 3?
help!!!!!!!!!plz.....
Mathematics
1 answer:
Kruka [31]3 years ago
4 0

Answer: 1/5, .2, and or 20%

Step-by-step explanation:

The only multiple of 2 that is less than 3 and greater than 1 is 2, so there is a 1/5, .2 and or 20% chance of this happening

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If all of the diagonals are drawn from a vertex of a hexagon, how many triangles are formed?
Elan Coil [88]
If we consider it as a combination problem, then we could calculate the how many combinations are there if we pick up three nodes out of six nodes, and then we have:
C_{6}^{3}= \frac{6*5*4}{3*2*1}  =20
And the answer should be 20
5 0
3 years ago
Read 2 more answers
Which ordered pair (x, y) is a solution to given system of linear equations?
patriot [66]

Answer:

(\frac{1}{6}, \frac{1}{2}) or (0.167,0.5)

Step-by-step explanation:

Given

3x + y =1

15x + y = 3

Required

Determine the solution

We'll solve using elimination method.

Subtract the first equation from the second:

15x + y = 3

3x + y =1

--------

15x - 3x + y - y = 3 - 1

15x - 3x + y - y = 3 - 1

15x - 3x  = 3 - 1

12x  = 2

Make x the subject:

x = \frac{2}{12}

x = \frac{1}{6}

x =0.167

Substitute \frac{1}{6} for x in the first equation

3x + y =1

3(\frac{1}{6}) + y = 1

\frac{1}{2} + y = 1

Make y the subject

y = 1 -\frac{1}{2}

y = \frac{2-1}{2}

y = \frac{1}{2}

y = 0.5

Hence, the solution is:

(\frac{1}{6}, \frac{1}{2}) or (0.167,0.5)

8 0
2 years ago
A line has a slope of -1/2 and a why intercept of -2
Mice21 [21]

Answer:

y = -1/2x - 2

Step-by-step explanation:

The formula of the slope-intercept is y = mx + b. The m is the slope while y is the y-intercept.

y = -1/2x - 2

7 0
3 years ago
An apartment lease states that the rent will go up $60 each year. The rent in the 6th year is $1250. Identify the slope and poin
oksano4ka [1.4K]

Answer:

The slope of the linear equation will be 60 and the point on the line will be (6,1250).

R - 1250 = 60(y - 6)

Step-by-step explanation:

An apartment lease states that the rent will go up by $60 each year. The rent in the 6th year is $1250.

Therefore, the slope of the linear equation will be 60 and the point on the line will be (6,1250).

Now, the point-slope form of the linear equation which models the rent (R(y)) in terms of how many years (y) the tenants have lived there will be

R - 1250 = 60(y - 6) (Answer)

7 0
3 years ago
Water continuously moves between ____________ and _____________ parts of an ecosystem. Question 1 options: Biotic, Autotrophs Ab
borishaifa [10]

Answer:

Biotic, Abiotic

Step-by-step explanation:

Interconnected pathways through which water is recycled through the biotic and abiotic components of the biosphere.

The water cycle is driven by the Sun’s energy. The sun warms the ocean surface and other surface water, causing liquid water to evaporate and ice to sublime—turn directly from a solid to a gas. These sun-driven processes move water into the atmosphere in the form of water vapor.

Over time, water vapor in the atmosphere condenses into clouds and eventually falls as precipitation, rain or snow. When precipitation reaches Earth's surface, it has a few options: it may evaporate again, flow over the surface, or percolate—sink down—into the ground.

In land-based, or terrestrial, ecosystems in their natural state, rain usually hits the leaves and other surfaces of plants before it reaches the soil. Some water evaporates quickly from the surfaces of the plants. The water that's left reaches the soil and, in most cases, will begin to move down into it.

In general, water moves along the surface as runoff only when the soil is saturated with water, when rain is falling very hard, or when the surface can't absorb much water. A non-absorbent surface could be a rock in a natural ecosystem or asphalt or cement in an urban or suburban ecosystem.

Water evaporates to form the ocean surface and forms clouds by condensation. Water in clouds may fall as precipitation over either the land or the sea. Clouds formed over the sea may move over the land. When rain falls over the land, it may flow along the surface, infiltrate the soil—move into it from above ground—and percolate through the soil, moving downward to become groundwater. Groundwater in upper levels may flow into rivers, lakes, or oceans. Water near the soil surface may be taken up by plants and move out of their bodies through transpiration from the leaves. Snowmelt runoff and sublimation of snow and ice are other processes that contribute to the water cycle.

Water evaporates to form the ocean surface and forms clouds by condensation. Water in clouds may fall as precipitation over either the land or the sea. Clouds formed over the sea may move over the land. When rain falls over the land, it may flow along the surface, infiltrate the soil—move into it from above ground—and percolate through the soil, moving downward to become groundwater. Groundwater in upper levels may flow into rivers, lakes, or oceans. Water near the soil surface may be taken up by plants and move out of their bodies through transpiration from the leaves. Snowmelt runoff and sublimation of snow and ice are other processes that contribute to the water cycle.

Image credit: The water cycle by NOAA National Weather Service Jetstream, CC BY 2.0

Water in the upper levels of the soil can be taken up by plant roots. Plants use some of the water for their own metabolism, and water that's in plant tissues can find its way into animals’ bodies when the plants get eaten. However, most of the water that enters a plant's body will be lost back to the atmosphere in a process called transpiration.

4 0
3 years ago
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