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3 years ago

Help me! Answer in pic not correct !

Mathematics

1 answer:

sladkih [1.3K]3 years ago

8 0

Answer:

$Q'=(4,1)\\R'=(6,-5)\\S'=(3,-4)\\T'=(1,-1)$

Step-by-step explanation:

First we have to find the coordinates of the original ordered pairs then we will do the translation.

$Q=(1,3)\\R=(3,-3)\\S=(0,-2)\\T=(-2,1)$

Now we will add 3 to every x value and add a -2 to every y value.

$Q=(1_{+3},3_{+(-2)})\\R=(3_{+3},-3_{+(-2)})\\S=(0_{+3},-2_{+(-2)})\\T=(-2_{+3},1_{+(-2)})$

When you do that you will get the new prime points.

$Q'=(4,1)\\R'=(6,-5)\\S'=(3,-4)\\T'=(1,-1)$

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A Survey of 85 company employees shows that the mean length of the Christmas vacation was 4.5 days, with a standard deviation of

GenaCL600 [577]

Answer:

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

Step-by-step explanation:

We have the standard deviations for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 85 - 1 = 84

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 84 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.95}{2} = 0.975$ . So we have T = 1.989.

The margin of error is:

$M = T\frac{s}{\sqrt{n}} = 1.989\frac{1.2}{\sqrt{85}} = 0.26$

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.26 = 4.24 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.26 = 4.76 days

The 95% confidence interval for the population's mean length of vacation, in days, is (4.24, 4.76).

92% confidence interval:

Following the sample logic, the critical value is 1.772. So

$M = T\frac{s}{\sqrt{n}} = 1.772\frac{1.2}{\sqrt{85}} = 0.23$

The lower end of the interval is the sample mean subtracted by M. So it is 4.5 - 0.23 = 4.27 days

The upper end of the interval is the sample mean added to M. So it is 4.5 + 0.23 = 4.73 days

The 92% confidence interval for the population's mean length of vacation, in days, is (4.27, 4.73).

8 0

3 years ago

Help me Graph -x -2y=4

Anastasy [175]

Answer: This is the graph for -x -2y=4

7 0

3 years ago

Help please tia everyone!

MariettaO [177]

B=3 i believe but not positive

6 0

3 years ago

NEED THIS DONE ASAP PLEASE ANSWER WITH FULL WORK

Travka [436]

The function of the table is quadratic in nature and is given as follows: y = 2x² -1

<h3>What is a quadratic function?</h3>

A quadratic function is one of the following: f(x) = ax² + bx + c, where a, b, and c are positive integers and a, b, and are not equal to zero.

Given the nature of a quadratic function (y = ax² + bx + c) we pick three pairs of (x, y) from the table as follows:

A) (0, -1)

B) (1, 1)

C) (2, 7)

Then we say:

A) (0, -1) → -1 = a(0)² + b(0) + c =

-1 = c ..................................1

B) (1, 1) → 1 = a(1)² + b(1) + c =

1 = a + b + c.......................2

C) (2, 7) → 7 = a(2)² + b(2) + c

7 = a (4) + 2b + c

7 = 4a + 2b + c .................3

Using elimination and substitution, let us substitute equation 1 into equation 2;

that is

1 = a + b + (-1)

1 = a + b -1
1 + 1 = a + b

2 = a + b................................4

From the above we can also say,

b = 2 - a...................................5

substitute 5 into 3 we have

7 = 4a + 2 (2-a) + (-1)

7 = 4a + 4 - 2a - 1

7 = 4a - 2a + 4 - 1

7 = 2a + 3

7- 3 = 2a

4 = 2a

a = 4/2

a = 2

taking [a = 2] and [c = -1], subsitute these into equation 2

1 = a + b + c

1 = 2 + b + (-1)

1 = 2 + b - 1

1 = 2 - 1 + b

1 = 1 + b

b = 1-1

b= 0

Hence,

a = 2

b = 0

c = -1

Hence:

y = 2 * x² + (0) x + (-1)

y = 2x² -1

Hence the equation for the above table is y = 2x² -1

Learn more about Quadratic Functions:
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8 0

1 year ago

What is the median of the data set? {50, 54, 62, 48, 49, 52}

Rina8888 [55]

Median is described as the number in the middle of the set (given that the set is ordered from least to greatest), so we'll first order our set.

[48 49 50 52 54 62]

We notice that there is no middle number, so we take the two numbers that share the middle space and find their mean.
50+52=102
102/2=51
The median is 51.

:)

8 0

3 years ago

Read 2 more answers