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10 months ago

14. If the domain of f(x)= x2 +1 is limited to {0,1,2,3), what is the maximum value of the range?

Mathematics

1 answer:

fiasKO [112]10 months ago

7 0

the domain of f(x)= x2 +1 is limited to {0,1,2,3)

the maximum value will be at the maximum value of x which is at x = 3

So, the maximum value of the range will be = 3^2 + 1 = 9 + 1 = 10

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In a certain year, when she was a high school senior, Idonna scored 671 on the mathematics part of the SAT. The distribution of

goldfiish [28.3K]

Answer:

Idonna's standardized score is 1.41.

Jonathan's standardized score is 0.55.

A.) Idonna's score is higher than Jonathan's

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Idonna scored 671 on the mathematics part of the SAT. The distribution of SAT math scores in that year was Normal with mean 509 and standard deviation 115.

This means that her standardized score is Z when $X = 671, \mu = 509, \sigma = 115$ . So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{671 - 509}{115}$

$Z = 1.41$

Idonna's standardized score is 1.41.

Jonathan took the ACT and scored 24 on the mathematics portion. ACT math scores for the same year were Normally distributed with mean 21.1 and standard deviation 5.3 .

This means that his standardized score is Z when $X = 24, \mu = 21.1, \sigma = 5.3$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{24 - 21.1}{5.3}$

$Z = 0.55$

Jonathan's standardized score is 0.55.

Due to the higher z-score, Iddona's has a higher score.

5 0

2 years ago

A teacher with 10 students has 30 lesson times available. She will teach exactly one of her students during each lesson time. Ho

natka813 [3]

There are $\frac{30!}{(3!)^{10} }$ ways for the teacher to decide which student she will teach during each lesson time if she must teach each student exactly 3 times. Here, "!" represents the factorial.

A number's factorial is the result of multiplying the integer by each natural number below it. Factorial can be symbolized by the letter "!". Thus, n factorial is denoted by n! and is the result of the first n natural numbers.

A whole number's "n" factororial is the sum of that number and each whole number up to one.

When a question asks you to determine how many different ways you can arrange or order a given number of items, you use a factorial.

Learn more about factorials here:

brainly.com/question/25997932

#SPJ1

5 0

2 years ago

Find several points that are on the graph of the function y = x^2 + 1. Plot the points in a coordinate plane.

beks73 [17]

Answer:

Below.

Step-by-step explanation:

Plot following points.

Calculate the point by plugging in values of x into x^2 + 1

for example When x = 0, y = 0^1 + 1 = 1.

So plot plot (0, 1),

Make a table of points to plot:

x -3 -2 -1 0 1 2 3

y 10 5 2 1 2 5 10

When you plot the points you'll see the graph is U shaped.

The function is of second degree (as it contains x^2) so it wont be linear.

8 0

3 years ago

5. 3g + 9 = 2. 3g + 15<br>Solve for G

Alik [6]

5.3g + 9 = 2.3g + 15
5.3g + 9 - 9 = 2.3g + 15 - 9
5.3g = 2.3g + 6
5.3g - 2.3g = 2.3g - 2.3g + 6
3g = 6
3g / 3 = 6 / 3
g = 2

3 0

3 years ago

Read 2 more answers

Please answer right away and don’t guess

ivolga24 [154]

im pretty sure the answer is 30

5 0

3 years ago