MATHEMATICS COLLEGE

Determine the number of solutions for systems x+y=2 and 2x+2y=8

Answers

Answer 1

Answer:

Answer:

no solutions

Step-by-step explanation:

x+y=2

2x+2y=8

Multiply the first equation by -2

-2x -2y = -4

Add this to the second equation

-2x -2y = -4

2x+2y=8

--------------------

0x+0y = 4

0=4

This is never true

so there are no solutions

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Please help

determine all the unknown values of the figure below.

Answers

Answer:

F=12.76

S=27.18

X=62 degrees

Step-by-step explanation:

hope this helps

mark brianliest ;)

Based on the right-angled triangle shown above, all the unknown values are;

S = 27.18 units

F = 12.76 units

x = 62°.

How to determine the measure of the missing side lengths and angle?

In order to determine the measure of the missing side length, we would have to apply the basic cosine trigonometric function because the given side lengths represent the adjacent side (24) of a right-angled triangle;

cos(θ) = Adj/Hyp

Where:

Adj represent the adjacent side of a right-angled triangle.
Hyp represent the hypotenuse of a right-angled triangle.
θ represent the angle.

For the cosine trigonometric function ratio, we have the following:

cos(28) = 24/S

S = 24/cos(28)

S = 27.18 units

From tangent trigonometric function ratio, we have the following:

tan(28) = F/24

F = 24tan(28)

F = 12.76 units

Since the angles formed by a right-angled triangle are acute complementary angles;

x + 28 = 90

x = 90 - 28

x = 62°.

Read more on trigonometric function here: brainly.com/question/24349828

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A quality control chart is used to monitor the customer wait time at a local call center. Sample means of five times are averaged and plotted over time. The last 50 sample means are randomly distributed between the upper and lower control limits. The process is _______.

Answers

Answer:

in-control

Step-by-step explanation:

basically, their are 2 types of control charts delineated:

1) uni-variate control chart : shows one quality characteristic

2)multivariate control chart : shows 2 or more than two quality characteristics

in statistics, we have "upper control limit" and "lower control limit".

if the system/variables are within these limits it is 'in-control' other wise 'out of control'

in-controlsays that all dots are within control limit and they have random pattern.

What is the area of the given trapezoid ABCD? A. 28 in2
B. 56 in2
C. 112 in2
D. 110 in2

Answers

STEP-BY-STEP SOLUTION:

To begin with, let's established the formula for the area of a trapezoid / trapezium as displayed below:

A of trapezoid = [ h ( a + b ) ] / 2

Now, let's substitue the values from the equation into the formula and then solve accordingly as displayed below:

h = 4
a = 6
b = 22

A = [ h ( a + b ) ] / 2
A = [ 4 ( 6 + 22 ) ] / 2
A = [ 4 ( 28 ) ] / 2
A = 112 / 2
A = 56 in2

Therefore, the answer is:

Option B. 56 in2

Paige rides her bike around town. She can ride one half of a mile in 1 30 ith of an hour. If she continues to ride at the same pace, how many miles could she travel in 1 hour?

Answers

We have been given that Paige can ride one half of a mile in 1/30 th of an hour. And we have to found the distance traveled in 1 hour if she continues to ride at the same pace.

Let d be the distance traveled in 1 hour.

In 1/30 th of an hour distance traveled is 0.5 mile

Hence, in 1 hour the distance traveled is given by

$d=(0.3)/(1/30) \n\nd=0.5* 30\n\nd=15$

Therefore, she will travel 15 miles.

She could travel 15 miles in an hour

People tend to evaluate the quality of their lives relative to others around them (Frieswijk et al., 2004). In one study, researchers conducted interviews with n = 9 frail elderly people. During the interview, each person was compared with a fictitious person who was worse off than the elderly person. The scores below are the measures from a life-satisfaction scale for the elderly sample. Assume that the average score on this scale in the population is u = 20. Are the data sufficient to conclude that the elderly people in this sample are either significantly more or less satisfied than others in the general population? The life-satisfaction scores for the sample are 18, 23, 24, 22, 19, 27, 23, 26, 25. a. Which kind of t-test should you use? b. How many tails should the test have? Circle a word or phrase in the problem that told you this. c. State the null and alternative hypotheses in statistical notation: d. Determine the critical t using an alpha = .05. Sketch the null distribution, note the location of the critical t, and shade the critical region. e. Calculate the t-statistic and plot it on the sketch you drew above. f. Make a decision (either reject the null or fail to reject it)

Answers

Answer:

Step-by-step explanation:

Hello!

Research.

n=9 frail elderly were interview and compared to a fictitious person who was worse off then the interviewee, a life-satisfaction score was determined for each person.

18, 23, 24, 22, 19, 27, 23, 26, 25

Assuming that the population average score is μ= 20, the researchers think that the elderly in the sample are more or less satisfied than others in the general population.

a. You have the information of one sample, assuming this sample has a normal distribution and each elderly interviewed is independent, then the t-test of choice is a one-sample t-test.

b. and c. If you say that the elderly are "more or less" satisfied than the others, this means that they are either as satisfied as to the general population or not satisfied as to the general population. Symbolically:

H₀: μ = 20

H₁: μ ≠ 20

This is a two-tailed test, meaning, you will have two critical regions.

α: 0.05

Left critical value: $t_(n-1;/\alpha 2) = t_(8; 0.025)= -2.306$

Right critical value: $t_(n-1;1-\alpha /2) = t_(8;0.975) = 2.306$

$t_(H_0)= (X[bar]-Mu)/((S)/(√(n) ) ) ~t_(n-1)$

X[bar]= 23

S= 3

$t_(H_0)= (23-20)/((3)/(√(9) ) )= 3$

Considering that the calculated t-value is greater than the right critical value, the decision is to reject the null hypothesis, so using a significance level of 5% you can conclude that the average life-satisfaction score of the elderly is different than 20.

I hope it helps!

Rectangle J'K'L'M' shown on the grid is the image of rectangle JKLM after transformation. The same transformation will be applied on trapezoid STUV.Rectangle JKLM is drawn on the grid with vertices J at negative 8, negative 8, K at negative 4, negative 8, L at negative 4, ne

What will be the location of T' in the image trapezoid S'T'U'V'? (1 point)

(12, 6)
(12, 7)
(16, 7)
(16, 6)