HEEEELLLP!!!! What is the frequency of the function f(x)? f(x)=2cos(x)−4

The distribution of IQ scores can be modeled by a normal distribution with mean 100 and standard deviation 15.

evablogger [386]

Answer:

4.4% of the population with IQ between 120 and 125.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 100

Standard Deviation, σ = 15

We are given that the distribution of IQ scores is a bell shaped distribution that is a normal distribution.

a) Let X be a person's IQ score.

Then, density functions for IQ scores is given by:

$P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{z^2}{2}}\\\\\text{where,}\\\\z = \frac{x-\mu}{\sigma}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-\mu)^2}{2\sigma^2}}\\\\P(x) = \displaystyle\frac{1}{2\sqrt{2\pi}}e^{-\frac{(x-100)^2}{450}}$

b) P(population with IQ between 120 and 125.)

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

$P(120 \leq x \leq 125) = P(\displaystyle\frac{120 - 100}{15} \leq z \leq \displaystyle\frac{125-100}{15}) = P(1.33 \leq z \leq 1.66)\\\\= P(z \leq 1.66) - P(z < 1.33)\\= 0.952 - 0.908 = 0.044 = 4.4\%$

$P(120 \leq x \leq 125) = 4.4\%$

6 0

2 years ago

(PaperTowels)

DochEvi [55]

Answer:

23 consumer.

Step-by-step explanation:

Given:

Number Of Responses for Thirsty = 49

Number Of Responses for Clean = 24

Number Of Responses for Strong Ones = 15

Number Of Responses for PowerWash = 12

So,

The total number of Responses = 49 + 24 + 15 + 12 = 100

So, the probability to prefer PowerWash = 12/100 = 0.12

For a group of 195 consumers:

prediction to prefer PowerWash paper towels = 0.12 * 195 = 23.4

So,

The number of consumers prefer PowerWash paper towels = 23 consumer

7 0

3 years ago

Determine weather randomly picking a blue card from a bag containing all blue cards is impossible, unlikely, as likely as not, l

Anuta_ua [19.1K]

Answer:

The correct answer is certain with probability equal to 1.

Step-by-step explanation:

Probability is a mathematical framework which helps us to analyze chance of the outcome in a particular experiment. The value of probability is given by the ratio of the possible outcomes favorable to a certain experiment to the total outcomes.

We say an event is certain when the probability is 1 and the probability is zero when the event is uncertain.

Here the experiment is picking a blue card from a bag containing all blue cards.

Possible outcomes are all the cards colored blue in the bag.

Total outcomes are also all the blue cards in the bag.

∴ The value of probability is 1 as the event is certain because if we pick a card from the bag containing only blue cards, it would certainly give us a blue card.

5 0

2 years ago

A spinner has 10 equal-sized sections. To win the game, the pointer must land on a blue section

GrogVix [38]

Answer:

1/10

Step-by-step explanation:

Given data

Total number of possible outcomes /sample space S= 10

In this problem we are required to solve for the probability of obtaining the favourable outcome which is obtaining a blue

Hence the probability of obtaining a blue is

Pr(blue) = 1/10

8 0

2 years ago

Solve the following simultaneous equations : with the help of steps 1. x + 2y = 1, 3x - y = 17

IRISSAK [1]

Answer:

x = 5, y = -2

Step-by-step explanation:

Given equations:

x + 2y = 1
3x - y = 17

From the first equation we get:

x = 1 -2y

Substitute x in the second equation, find y:

3x - y = 17
3*(1-2y) - y = 17
3 - 6y - y = 17
-7y = 17 - 3
-7y = 14
y = -14/7
y = -2

Find x:

x = 1 - 2y
x = 1 - 2*(-2)
x = 1 + 4
x = 5

6 0

2 years ago

HEEEELLLP!!!!What is the frequency of the function f(x)? f(x)=2cos(x)−4