Math Answers

Determine the coordinate of the center and the length of the radius.

X²+(y-2)²=10

Suppose that the average outstanding credit card balance for your professionals is P11,200 with a standard deviation of P2,600. In a simple random sample of 150 young professionals, what is the probability that the mean outstanding credit card balance does not exceeds P11,800?

The base of a rectangle is changing at the rate of 3 in/min. If its height remains constant, determine the rate of change of its perimeter with respect to time.

X | 0 | 2 | 5 | 7 | 9

P(X) |0.1|0.2|0.3|0.2|0.2

1. What is the mean of the probability distribution?

a. 5.1

b. 5.5

c. 6.0

d. 4.0

2. What is the variance of the probability distribution?

a. 18.15

b. 2.26

c. 8.29

d. 2.88

our hypothetical population contains the scores 5, 7, 9, and 11. determine the mean and variance of the sampling distribution of the sample mean., given that samples contain two scores drawn from the population with replacement.

On a website that sells funny T-shirts, the number of customers has been falling 10% per month. If the site had 14,000 customers this month, then how many should it expect to have 10 months from now?

Let ‘R’ be a relation defined on a set of integers Z as follows:

∀ 𝑎, 𝑏 ∈ 𝑍, 𝑎𝑅𝑏 iff 𝑏 = a^r

for some integer 𝑟. Show that R is a partially

ordered relation.

Activity 2

Find the rejection region for each hypothesis test based on the information given.

1 H₂ μ = 121

Hah > 121 Η μ=986

2. Ho:μ=986 Ị Hai =27

HaiH <27

a= 0.01

a= 0.05 a= 0.05

n=34

known unknown

n=25 n=12

a known

ASSESSMENT

Perform as indicated

In numbers 1-5, find the critical valuets) and rejection remonts) for the type of z-test with level of significance a Include a graph with your answer

1 Left -tailed test, a=0.03

2 Right-tailed test = 0.05

3 Two-tailed test, a = 0.02

4 Two-tailed test, a = 0.10 5 Left-tailed test, a=0,09

In numbers 6-9, state whether each standardized test statistic z allows you to reject the null hypodesis Explain your reasoning

6. z=-1301 7 z=1203

8 2 1.280 9 2=1.286

10 A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no

more than 920 milligrams A random sample of 44 breakfast sandwiches has a mean sodium content of 925 milligrams Aanume the population standard deviation is 15 milligrams At a=0.10, do you have enough evidence to reject the restaurant's claim?

Activity 3 region

Find the critical value of each given problem. Skatch the curve and shade the wjection

1 14-90

The sample mean is 69 and simple size is 35 The population follows a normal distritsation with standard deviation 5 Usca w 0.05

2. A redaurant cashier claimed that the average amount spent by the endomers for dinner is P125.00 Over a month period, a sample of 50 customers was selected and it was found that the everage amount spent for dinner was P130.00 Using 005 level of significance can it be concluded that the average amount spent by customers is more than P125.00 Astose that the population standard deviation is 7.00