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2 years ago

Consider the scatter plot.

Mathematics

2 answers:

julia-pushkina [17]2 years ago

5 0

Answer:

Step-by-step explanation:

An outlier is a data point that seems like it shouldn't belong; it could be extremely small or extremely big or simply not even a part of the correlation.

Looking at the scatter plot, it's quite clear that there is one point far from the others. This will be the outlier.

Observe its coordinates; they are about (8.8, 5.2).

So, the answer is A.

Hope this helps!

Natali5045456 [20]2 years ago

5 0

Answer:

(8.8 , 5.2)

Step-by-step explanation:

All other points are following almost the same trend

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HELP NOW PLEASE I WILL GIVE BRAINLIEST IT'S URGENT!!!!!!

Degger [83]

Answer:

Step-by-step explanation:

y= 24-4x

8 0

3 years ago

Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 3%. If the rate of deca

Hitman42 [59]

Answer:

The half-life of the radioactive substance is 135.9 hours.

Step-by-step explanation:

The rate of decay is proportional to the amount of the substance present at time t

This means that the amount of the substance can be modeled by the following differential equation:

$\frac{dQ}{dt} = -rt$

Which has the following solution:

$Q(t) = Q(0)e^{-rt}$

In which Q(t) is the amount after t hours, Q(0) is the initial amount and r is the decay rate.

After 6 hours the mass had decreased by 3%.

This means that $Q(6) = (1-0.03)Q(0) = 0.97Q(0)$ . We use this to find r.

$Q(t) = Q(0)e^{-rt}$

$0.97Q(0) = Q(0)e^{-6r}$

$e^{-6r} = 0.97$

$\ln{e^{-6r}} = \ln{0.97}$

$-6r = \ln{0.97}$

$r = -\frac{\ln{0.97}}{6}$

$r = 0.0051$

$Q(t) = Q(0)e^{-0.0051t}$

Determine the half-life of the radioactive substance.

This is t for which Q(t) = 0.5Q(0). So

$Q(t) = Q(0)e^{-0.0051t}$

$0.5Q(0) = Q(0)e^{-0.0051t}$

$e^{-0.0051t} = 0.5$

$\ln{e^{-0.0051t}} = \ln{0.5}$

$-0.0051t = \ln{0.5}$

$t = -\frac{\ln{0.5}}{0.0051}$

$t = 135.9$

The half-life of the radioactive substance is 135.9 hours.

6 0

2 years ago

A cylindrical cup is 10 centimeters in height. When filled to the very top, it holds 500 cubic centimeters of water. What is the

Vladimir [108]

Answer:

Step-by-step explanation:

the formula for radius is

$r=\sqrt{\frac{v}{\pi h } }$

so. 500 divided by pi times 10. then square root your final answer. cool. let's get started.

3.14*10 is 31.4, you can do that without thinking.

500/31.4=15.92

$\sqrt{}$ 15.92= 3.99, or just 4

the radius is four.

6 0

2 years ago

Aubrey claims that if the dimensions of the parallelogram shown are doubled then the area of the larger parallelogram will be 4

djyliett [7]

Answer:

True

Step-by-step explanation:

Even though we cannot see the parallelogram, we can assume the dimensions of the original parallelogram is height= 3 and base= 6.

If we double the dimensions, we get:

height=6 band base=12.

The area of the original parallelogram is 18 square units.

The area of the enlarged parallelogram is 6×12= 72 square units.

Now,

$\frac{72}{18} = 4$

Hence, the area of the larger parallelogram is 4 times more than the original.

4 0

3 years ago

Read 2 more answers

How many different positive integers can be represented as a difference of two distinct members of the set {1, 2, 3, 4, 5, 6}?

slega [8]

For the difference to be positive, when both the minuend and the subtrahend are positive, the former must be greater than the latter.

Therefore

minuend = 2 ⇒ subtrahend = 1 ← 1 number

minuend = 3 ⇒ subtrahend = 1,2 ← 2 numbers

minuend = 4 ⇒ subtrahend = 1,2,3 ← 3 numbers

minuend = 5 ⇒ subtrahend = 1,2,3,4 ← 4 numbers

minuend = 6 ⇒ subtrahend = 1,2,3,4,5 ← 5 numbers

1+2+3+4+5=<u>15</u>

5 0

2 years ago