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ycow [4]
3 years ago
14

You leave a pile of sand in your backyard on a windy day. Every minute the wind blows away 10 percent of the remaining sand.You

started with five cubic feet of sand.What equation models the amount of sand after x minutes?
Mathematics
2 answers:
Leona [35]3 years ago
6 0

Answer:200cubic sand

Step-by-step explanation:

cubic means 3 times. And you lose 100 sand from wind 10 times.

Nookie1986 [14]3 years ago
6 0

Answer:

y=5 x .

90 to x power

Step-by-step explanation:

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For the following exercises, find (f ∘ g)(x) and (g ∘ f)(x) for each pair of functions.
Rufina [12.5K]

Answer:

The value of $(f \circ g)(x)$ is 17-18x and $(g \circ f)(x)$ is -7-18x.

Step-by-step explanation:

It is given in the question functions f(x) as 3x+2 and g(x)=5-6x.

It is required to find $(f \circ g)(x)$ and $(g \circ f)(x)$.

To find $(f \circ g)(x)$, substitute g(x) for x in f(x) and simplify the expression.

To find $(g \circ f)(x)$, substitute f(x) for x in g(x) and simplify the expression.

Step 1 of 2

Substitute g(x) for x in f(x) and simplify the expression.

$$\begin{aligned}&(f \circ g)(x)=f(5-6 x) \\&(f \circ g)(x)=3(5-6 x)+2 \\&(f \circ g)(x)=15-18 x+2 \\&(f \circ g)(x)=17-18 x\end{aligned}$$

Step 2 of 2

Substitute f(x) for x in g(x) and simplify the expression.

$$\begin{aligned}&(g \circ f)(x)=g(3 x+2) \\&(g \circ f)(x)=5-6(3 x+2) \\&(g \circ f)(x)=5-18 x-12 \\&(g \circ f)(x)=-7-18 x\end{aligned}$$

5 0
2 years ago
Is the confidence interval affected by the fact that the data appear to be from a population that is not normally​ distributed?
sp2606 [1]

Answer:

D. No, because the sample size is large enough.

Step-by-step explanation:

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

If the sample size is higher than 30, on this case the answer would be:

D. No, because the sample size is large enough.

And the reason is given by The Central Limit Theorem since states if the individual distribution is normal then the sampling distribution for the sample mean is also normal.

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

If the sample size it's not large enough n<30, on that case the distribution would be not normal.

7 0
3 years ago
What is the smaller super script above the base that indicates how many times the
Alenkasestr [34]
I believe it’s the power
8 0
3 years ago
Read 2 more answers
If -2x+3=7 and 3x+1= 5+y
sertanlavr [38]

Answer: x = -2, y = -10

Step-by-step explanation:

solve for x first in the equation -2x+3=7

-2x+3=7

-2x = 4

x = -2

now plug that x value into the other equation so we can find y

3x+1 = 5+y

3(-2)+1 = 5+y

-6+1 = 5+y

-5=5+y

-10 = y

7 0
3 years ago
Read 2 more answers
Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.
ankoles [38]
I hope this helps you



1)



x= -2y


2. (-2y)+4y=0


0=0


2)


x+2x= -3


x=-1


y= -2


3)


7x+2x+2=4



9x=2


x=2/9


y=2/9+1


y=11/9
4 0
4 years ago
Read 2 more answers
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