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stepladder [879]
3 years ago
5

-3(x - 6) - 3 x greater than or equal to 12​

Mathematics
1 answer:
serg [7]3 years ago
4 0

Answer:

EQUAL

Step-by-step explanation:

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The distribution of income tax refunds follow an approximate normal distribution with a mean of $7010 and a standard deviation o
Andrej [43]

Answer:

A refund must be above $7,139 before it is audited.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7010, standard deviation = 43.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

The empirical rule is symmetric, which means that the lowest (100-99.7)/2 = 0.15% is at least 3 standard deviations below the mean, and the upper 0.15% is at least 3 standard deviations above the mean.

Use the Empirical Rule to determine approximately above what dollar value must a refund be before it is audited.

3 standard deviations above the mean, so:

7010 + 3*43 = 7139.

A refund must be above $7,139 before it is audited.

5 0
2 years ago
Choose the expression that represents a linear expression.
tresset_1 [31]

Answer:

Step-by-step explanation:

A linear expression has the highest power of the variable to 1, i.e ax+b

Then only the first option is in a linear expression format

9x-2

6 0
3 years ago
Read 2 more answers
Which of the following is the best strategy to support children in learning about shapes?
Sunny_sXe [5.5K]

The best option is C. Provide multiple worksheets with pictures of the basic shapes for children to colour.

<h3>What does the learning process in children involve?</h3>

The process of learning has often been described to include all but not limited to the following:

  • gaining new understanding,
  • learning new behaviours,
  • skills,
  • values, attitudes, and
  • preferences.

Children according to experts learn faster and easily remember what they see. Hence, providing multiple worksheets with pictures of the basic shapes for children to colour is the most cost-efficient strategy to support children in learning about shapes.

You can learn more from a related question about teaching strategies to use for children here brainly.com/question/240537

#SPJ1

4 0
1 year ago
The function f(x)=Acosh(Cx)+Bsinh(Cx). I need help determining the value of constant C&gt;0 when the second derivative f''(x)=25
Rus_ich [418]

Answer:

C = 5.

Step-by-step explanation:

First, you need to remember that:

For the function:

h(x) = Sinh(k*x)

We have:

h'(x) = k*Cosh(k*x)

and for the Cosh function:

g(x) = Cosh(k*x)

g'(x) = k*Cosh(k*x).

Now let's go to our problem:

We have f(x) = A*cosh(C*x) + B*Sinh(C*x)

We want to find the value of C such that:

f''(x) = 25*f(x)

So let's derive f(x):

f'(x) = A*C*Sinh(C*x) + B*C*Cosh(C*x)

and again:

f''(x) = A*C*C*Cosh(C*x) + B*C*C*Sinh(C*x)

f''(x) = C^2*(A*cosh(C*x) + B*Sinh(C*x)) = C^2*f(x)

And we wanted to get:

f''(x) = 25*f(x) = C^2*f(x)

then:

25 = C^2

√25 = C

And because we know that C > 0, we take the positive solution of the square root, then:

C = 5

6 0
2 years ago
What is the value of
deff fn [24]

the answer is 2. see attached for step-by-step instructions. hope that helps!

7 0
3 years ago
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