Which function describes the arithmetic sequence shown?

Mathematics

2 answers:

Snezhnost [94]3 years ago

8 0

Answer: Option 'c' is correct.

Step-by-step explanation:

Since we have given that

3, 1, −1, −3, −5, −7, ...

Here, a = 3

d = a₂-a₁=1-3=-2

Let the number of terms be 'x'.

As we know the formula for "Arithmetic sequence":

$f(x)=a+(x-1)d\\\\f(x)=3-2(x-1)\\\\f(x)=3-2x+2\\\\f(x)=-2x+5$

Hence, Option 'c' is correct.

Shkiper50 [21]3 years ago

3 0

Answer: C.) f(x) = -2x + 5

If you start from x=1, you will see the patter follows -2x + 5

-2(1) +5 = -2+5 = 3
-2(2)+ 5 = -4 + 5 = 1
-2(3) + 5= -6 +5 = -1
And so on...

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Leia cuts congruent triangular patches with an area of 63 square centimeters from a rectangular piece of fabric that is 27 centi

m_a_m_a [10]

- The triangular patches have an area of 63 cm² (A1= 63 cm²).
- The rectangular piece of fabric is 27 centimeters long and 21 centimeters wide.

1. Then, the first thing you must do is to calculate the area of the piece of fabric. The formula for the area of a rectangle is:

A2=LxW

L=27 centimeters (The lenght of the rectangle)
W=21 centimeters (The width of the rectangle)

2. When you substitute the values of L and W into the formula, you obtain:

A2=(27 cm)(21 cm)
A2=567 cm²

3. Then, let's calculate how many triangular patches she can cut from a rectangular piece of fabric:

A2/A1= 567 cm²/63 cm²= 9 triangular patches

4. Finally, you can calculate how many triangular patches she can cut from 33 rectangular pieces of the fabric:

(9 triangular patches)(33 pieces of fabric)=297 triangular patches

How many of the patches can Leia cut from 33 pieces of the fabric?

The answer is: 297 triangular patches

6 0

3 years ago

Please help!!!

V125BC [204]

Answer: 7 π r² + π r³

Explanation:

1) The general formula for the volumen, V, of a cylinder with radius r and height h is:

V = π r² h

2) Now you have the condition that the height is 7 inches greater than the radius, that is:

h = 7 + r

3) Replace h with its expression

V = π r² (7 + r)

4) Expand the product (use distributive property):

V = π (7r²) + π r³ = 7 π r² + π r³

Answer: 7 π r² + π r³

3 0

3 years ago

The heights of baby giraffe are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 b

ANEK [815]

Answer:

$P(\bar X$

And we can solve this using the following z score formula:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we use this formula we got:

$z = \frac{63-63.6}{\frac{2.5}{\sqrt{100}}}= -2.4$

So we can find this probability equivalently like this:

$P( Z$

Step-by-step explanation:

Previous concepts

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".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(63.6,2.5)$