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Olegator [25]
3 years ago
6

The graph of a function f is shown below. Find f(3)

Mathematics
2 answers:
IrinaK [193]3 years ago
7 0
F(3)  means the value of the function when x = 3
From the graph this is = 1.
Brrunno [24]3 years ago
7 0

Answer:

The value of f(3) is 1.

Step-by-step explanation:

In the graph of f(x),

The input values of f is along x-axis and output value is along y-axis,

In other words,

(x, y) ∈ f

Since, by the graph,

f(x) is passes through the point (3, 1),

i.e. for the input value 3, f gives the output value 1,

⇒ f(3) = 1

Hence, the value of f(3) is 1.

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A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are
lidiya [134]

Answer:

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

Step-by-step explanation:

Using a .10 significance level, can he conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree

The null hypothesis is that they are equal(that is, subtraction between the means is 0), while the alternate hypothesis is that they are greater(that is, subtraction between the means is larger than 0). So

H_0: \mu_1 - \mu_2 = 0

H_a: \mu_1 - \mu_2 > 0

In which \mu_1 is the mean pine trees height while \mu_2 is the mean spruce trees height.

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that \mu = 0

Mean trunk diameter (cm) 35 30:

Pine trees - 35

Spruce trees - 30

The sample mean is given by the subtraction of the means. So

X = 35 - 30 = 5

Sample Size 40 80

Population variance 160 160

This means that the standard error for each sample is given by:

s_1 = \frac{\sqrt{160}}{\sqrt{40}} = 2

s_1 = \frac{\sqrt{160}}{\sqrt{80}} = \sqrt{2}

The standard error of the difference is the square root of the sum squared of the standard error of each sample.

s = \sqrt{2^2 + (\sqrt{2})^2} = \sqrt{6} = 2.4495

Test statistic:

z = \frac{X - \mu}{s}

z = \frac{5 - 0}{2.4495}

z = 2.04

Pvalue of the test:

Probability of a sample mean larger than 5, which is 1 subtracted by the pvalue of Z when X = 5.

Looking at the z-table, z = 2.04 has a pvalue of 0.9793.

1 - 0.9793 = 0.0207

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

8 0
3 years ago
The "sum" of two numbers is: A the result when both numbers are added together B the result when the first number is subtracted
Irina-Kira [14]

Answer:

A the result when both numbers are added together

5 0
3 years ago
Read 2 more answers
What is the solution for the equation?
Vesnalui [34]

Answer:

The soultion is the answer.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Determine the intervals on which the function is increasing, decreasing and constant
viva [34]

Answer:

  • increasing: (-∞, 0)
  • decreasing: (0, ∞)

Step-by-step explanation:

The function goes up to the right until it gets to the vertex at x=0. Then it goes down to the right. That is, it is ...

  increasing from -∞ to 0 (not including 0)

  decreasing from 0 to +∞ (not including 0)

_____

At x=0, the function is neither increasing nor decreasing, so x=0 is not part of either interval.

6 0
3 years ago
Consider the equation 360=__+84. Use the bar diagram to represent the equation. Then solve for the unknown value.
Andreyy89

Answer:

the answeris 276. 276+84=360.

Step-by-step explanation:

you would subtract 84 from 360 and then you have your answer!!

5 0
3 years ago
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