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2 years ago

Can someone help i have been asking for 2 hours

Mathematics

1 answer:

yawa3891 [41]2 years ago

6 0

Flipping a point across the y axis, the y coordinate should flip signs (negative if it was positive before, and vice versa). So

reflection across y axis = (-1 5/7, 1).

Similarly, reflecting across the x axis, the sign will also flip. So

reflection across x axis = (1 5/7, -1).

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stira [4]

Answer:

Step-by-step explanation:

Corresponding heights of presidents and height of their main opponents form matched pairs.

The data for the test are the differences between the heights.

μd = the president's height minus their main opponent's height.

President's height. main opp diff

191. 166. 25

180. 179. 1

180. 168. 12

182. 183. - 1

197. 194. 3

180. 186. - 6

Sample mean, xd

= (25 + 1 + 12 - 1 + 3 + 6)/6 = 5.67

xd = 5.67

Standard deviation = √(summation(x - mean)²/n

n = 6

Summation(x - mean)² = (25 - 5.67)^2 + (1 - 5.67)^2 + (12 - 5.67)^2+ (- 1 - 5.67)^2 + (3 - 5.67)^2 + (- 6 - 5.67)^2 = 623.3334

Standard deviation = √(623.3334/6 sd = 10.19

For the null hypothesis

H0: μd ≥ 0

For the alternative hypothesis

H1: μd < 0

The distribution is a students t. Therefore, degree of freedom, df = n - 1 = 6 - 1 = 5

The formula for determining the test statistic is

t = (xd - μd)/(sd/√n)

t = (5.67 - 0)/(10.19/√6)

t = 1.36

We would determine the probability value by using the t test calculator.

p = 0.12

Since alpha, 0.05 < than the p value, 0.12, then we would fail to reject the null hypothesis.

Therefore, at 5% significance level, we can conclude that for the population of heights for presidents and their main opponents, the differences have a mean greater than 0 cm.

5 0

3 years ago

The diagonal of a TV screen is 26 inches. The screen is 18.8 inches wide. How high is the screen? Round to the nearest hundredth

cluponka [151]

26^2 = 18.8^2 + H^2
H^2 = 322.56
H = 17.96 inches

8 0

3 years ago

A circle is divided into 8 equal parts. What is the total<br>angle measure of 4 parts?<br>

snow_lady [41]

Answer:

Step-by-step explanation:

A circle is divided into 8 equal parts means : 360°/8 = 45°

the total angle measure of 4 parts is :

45°×4=180°

4 0

3 years ago

Translate the verbal expression "Five less than the product of X and three" into an algebraic expression

Illusion [34]

Answer:

x+3-5 i think

Step-by-step explanation:

"and" means add so x+3 and subtract 5

6 0

2 years ago

Natalie has $5000 and decides to put her money in the bank in an account that has a 10% interest rate that is compounded continu

kakasveta [241]

Step-by-step explanation:

Natalie has $5000

She decides to put her money in the bank in an account that has a 10% interest rate that is compounded continuously.

Part a) What type of exponential model is Natalie’s situation?

Answer:

As Natalie's situation implies

continuous compounding. So, instead of computing interest on a finite number of time periods, for instance monthly or yearly, continuous compounding computes interest assuming constant compounding over an infinite number of periods.

So, it requires the more generalized version of the principal calculation formula such as:

$P\left(t\right)=P_0\times \left[1+\left(i\:/\:n\right)\right]^{\left(n\:\times \:\:t\right)}$