if p=(-1,-1) find the image of P under the following rotation. 90 degrees counterclockwise about the origin brainly

Answer:

a)H0: β1= 1 and Ha: β1 ≠1

b) The test statistic is____.t= b- β/ sb

c) The p-value is____.0.999144

(d) Therefore, we can conclude that:_____. there is not enough evidence to reject the null hypothesis.    

2) The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.

Step-by-step explanation:

The null and alternate hypotheses are

H0: β1= 1 and Ha: β1 ≠1

The significance level is  alpha= 0.1 but ∝/2 =0.1/2= 0.05 for two tailed test.

The critical region at t ∝/2 (29)=  t ≤ - 1.699 , t ≥ 1.699

The test statistic is

t= b- β/ sb

which has t distribution with υ= 31-2= 29 degrees of freedom.

Calculations

Ŷ = a +bX

b = SPxy /SS x= Σ(xi-x`)(yi-y`)/Σ(xi-x`)²

b = 39671.6/39680= 0.9998

a = y` - bx`

x`= 60

y`= 59.989

a = 59.989 -0.9998*60 = 0.001734

Syx²= Σ( yi -y`)²/ n-2= 39663.3857/ 29=1367.68965

Syx= 36.9822

Sb= Syx/ √∑  (x-x`)²

Sb= 36.9823/ √39680

Sb= 36.9823/ 199.984

Sb= 0.18493

x-x`                 y-y`                    (x-x`)²     (x-x`)(y-y`)

-60                 -59.969            3600              3598.1419

-56                  -55.999           3136          3135.9458

-52                 -52.079             2704          2708.1097

-48                -47.959              2304           2302.0335

-44                 -43.899              1936          1931.5574

-40                -39.989               1600          1599.5613

-36              -36.009                1296            1296.3252

-32               -31.899              1024              1020.769

-28               -28.049             784                785.3729

-24                -23.959             576               575.0168

-20               -19.989             400                  399.7806

-16                 -15.939            256                  255.0245

-12               -12.039             144                    144.4684

-8                  -7.989             64                       63.9123  

-4                 -4.119                16                      16.4761

0                 -0.08903           0                         0

4                  3.921              16                      15.6839

8                7.961                64                       63.6877

12                12.121             144                     145.4516

16                16.031             256                   256.4955

20               20.021           400                  400.4194

24               24.111              576                   578.6632

28                28.071           784                     785.9871

32                 31.751            1024                    1016.031

36               36.031           1296                    1297.1148

40                39.961          1600                    1598.4387

44                43.881           1936                     1930.7626

48               48.021           2304                     2305.0065

52              52.001             2704                     2704.0503

56             56.051              3136                       3138.8542

60            60.041                3600                     3602.4581

∑0          0                 39680 (SSx)     39671.6 (SPxy)

Putting the values

The test statistic is

t= b- β/ sb

t= 0.9998-1/ 0.18493      ( β=1 given)

t=-0.0010815

Since the calculated t=-0.0010815  does not lie in the critical region  t ∝/2 (29)=  t ≤ - 1.699 , t ≥ 1.699 we conclude that these thermometers seem to be measure temperatures.

The p-value is  ≈ 0.999144

there is not enough evidence to reject the null hypothesis.    

Answer:

87

Step-by-step explanation:

this is correct

=======================================================

Explanation:

Start in the first row. The stem here is 4, which forms the tens digit of the value. The first leaf of this row is 3, so it's the units digit.

A tens digit of 4 and units digit of 3 forms the value 43. The value 43 is the smallest value of this data set. We call this the minimum.

The max is 93 for similar reasons, but we look at the opposite endpoint of the spectrum. Locate the bottom row (stem = 9) and note the last leaf here is 3. So that's how we get 93 here.

Now compute the range:

range = max - min

range = 93 - 43

range = 50, answer is choice C

Answer:

A.

Step-by-step explanation:

You don't really need much of an explanation ...

Answer:

4.5

Step-by-step explanation:

[tex]4= \sqrt[3]{64}\\5 = \sqrt[3]{125}[/tex]

[tex]\sqrt[3]{100}[/tex] is in between [tex]\sqrt[3]{64} \\[/tex] and [tex]\sqrt[3]{125}[/tex] so that means that the answer is between 4 and 5 so the best answer is 4.5.

Answer: You use it to represent that the equation your graphing is either greater than or equal too or less than or equal too

Step-by-step explanation:

A dotted line is there to represent that the equation your graphing is either grater than or less than

So the solid line represents the same thing, except that they both have a possibility of being equal too which is why the line is solid.

I hope this helps!

The sample mean is $641.80 thousand and the sample median is $583 thousand.

This means that the average sale price for a home in this sample was $641.80 thousand and that half the sales were for less than the median price and  price and half the sales were more than the median price.

Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number

Mean = sum of the numbers / total number

sum of the numbers = $ (591 + 820 + 575 + 607 + 349 + 1,288 + 412 +  543 + 557+  676) = 6418

total number = 10

Mean = $6418 / 10 = $641.80

= $641.80 thousand

Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order

Arranging the prices in ascending order : 349, 412, 543, 557, 575, 591, 607, 676, 820, 1288

The two numbers in the middle of the set of numbers are 575 and 591

Median = (575 + 591) / 2 = $583

$583 thousand

To learn more about median, please check : https://brainly.com/question/300591?referrer=searchResults

Answer:

$67.20

Step-by-step explanation:

"30% off" translates into multiplying the original price by 1.00 - 0.30, or 0.70.

0.70($96) = $67.20 is the sales price

Answer:

H=13cm

Step-by-step explanation:

Volume= Length x Width x Height

v=624cm^3

L=8cm

W=6cm

8cm x 6cm=48cm^2

Divide 624cm^3 by 48cm^2= 13cm

H=13cm

Hope this helps!

Answer:

A ; 3276000 (second answer)

Step-by-step explanation:

think of it like this:

L        L       #      #      #    # ( six symbols, L for letters, # for numbers)

26 X 26 X 10 X 10 X 10 X10 = 6760000

If we take away repetition then the equation would look like this:  

L       L       #     #     #    #   ( 26 then 25 due to the loss of a letter due to no  )

26 X 25 X 10 X 9 X 8 X 7   ( Repetition. Same with 10,9,8,7                               )  

Therefore the answer to the second question isn't even up there which is 3276000.

Hope this helps...

Answer:

the answer is D

Step-by-step explanation:

Answer:

1st option (c = 15.00 + 3.50n)

Step-by-step explanation:

Answer:

A. c=15.00+3.50n

Step-by-step explanation:

We can find how much a single charm costs by taking the 2nd term and subtracting it by the first.

22.00-18.50=3.50

A charm is $3.50.

We can also find the initial price of the bracelet by taking the first term and subtracting off one charm.

18.50-3.50=15.00

The bracelet by itself is $15.00

Knowing n goes up by a rate of 3.50 and the initial price is 15.00, we can find the answer is

A. c=15.00+3.50n

Answer:

Monday, Thursday, and friday

Step-by-step explanation:

Use the inequality given and solve for h

12.5h≥106.25

h≥8.5

from here you just select all days that have more than or equal to 8.5 hours

which is

Monday, Thursday, and friday

Answer:

3

Step-by-step explanation:

Answer:

Is the answer to the :

1st is 9

2nd is 17

3rd is 20

4th is 5

5th is 6

If it helps you....then please mark brainliest

Step-by-step explanation:

22cm^3

Step-by-step explanation:

My education system is different so I dont know what nearest tenth would mean in this .

But going mathematically:

Its diameter is 7 centimetres.

So to find its volume we can use the formula pi/d or pi/r^2

Now, 22/7÷7 would be 22cm³.

Answer:

200

Step-by-step explanation:

If you multiply 8 by the number 5's square, 25, you get 200

Answer:

4 games

Step-by-step explanation:

Hope this is right!!!

Answer:

4

Step-by-step explanation:

So first off, subtract the 800 from the 980, this leaves the amount of money left ofr games:

980-800

=

180.

Next divide this by how much each game cost, to get the amoutn per game:

180/45

=

4

So we know he got 4 games.

Hope this helps!

Answer:

3/14

Step-by-step explanation:

Answer:

The length of the diagonal of the rectangle is of [tex]\sqrt{58}[/tex] units.

Step-by-step explanation:

Pythagorean theorem:

The square of the hypothenuse h is equal to the sum of the squares of sides a and b, that is:

[tex]h^2 = a^2 + b^2[/tex]

Diagonal of a rectangle:

The diagonal is the hypothenuse, while the sides are a and b.

In this question:

The height has coordinates are y = 9 and y = 12, so the height is [tex]a = 12 - 9 = 3[/tex]

The length has coordinates at [tex]x = -6, x = -13[/tex], so the length is [tex]b = -6 - (-13) = 7[/tex]

Diagonal:

[tex]d^2 = a^2 + b^2[/tex]

[tex]d^2 = 3^2 + 7^2[/tex]

[tex]d^2 = 9 + 49[/tex]

[tex]d^2 = 58[/tex]

[tex]d = \sqrt{58}[/tex]

The length of the diagonal of the rectangle is of [tex]\sqrt{58}[/tex] units.

Answer: f is Parralel to g

Step-by-step explanation:

Answer:

You gave us no choices

Step-by-step explanation:

h is not parallel f

Answer: Width = 5.5ft

Length = 18ft

Step-by-step explanation:

Let the width of the rectangle be x

Since the length of the rectangle is 7 ft more than twice the width. This mean that the length will be:

= (2 × x) + 7 = 2x + 7.

Therefore, length × width = area

x × (2x + 7) = 99

2x² + 7x = 99

2x² + 7x - 99 = 0

2x² + 18x - 11x - 99 = 0

2x(x + 9) - 11(x + 9) = 0

(2x - 11) = 0

2x = 0 + 11

2x = 11

x = 11/2

x = 5.5

The width is 5.5ft

Length = 2x + 7 = 2(5.5) + 7 = 11+7 = 18ft

Step-by-step Answer/Explanation(answers are underlined and bolded):

okay, first you want to identify all the numbers and what they mean:

lawyers:235  (within the main number of lawyers: Criminal lawyers: 74)

Family doctors: 87

Sergeons: 30

From there, add up all of said numbers (ignore the Criminal lawyers for now):

235 + 87 + 30 = 352

(352 is going to be the denominator or the number that we are going to be dividing from.)

Next, we start answering the questions!

the first one is asking for the percent of sergeons.

To do this, we need to take the number of sergeons listed, 30, and divide 352 from it:

30/352 = .0852

then multiply this by 100:

.0852 x 100= 8.52%

So the percent of sergeons is 8.52%

Next question: the percent of Family Doctors

so like the last question, we identify the number of doctors, 87, and divide 352 from it, then multiplying it by 100 after:

87/352 = .2472

.2472 x 100 = 24.72%

Meaning the percent of family doctors is 24.72%

Criminal Law is next:

repeat the steps in the last couple of problems:

72/352 = .2045

.2045 x 100 = 20.45%

Family Law:

Okay, so now, we need to take that 235 from earlier and subtract it from 72 (the criminal law students) to get the number of students going into family law.

235 - 72 = 163

now repeat the steps from the earlier problems:

163/352 = .3864

.3864 x 100 = 38.64%

(I don't particularly understand what the rest is asking...I figure you can probably figure out from here...? I hope this helps!!)

Answer:

Step-by-step explanation:

We can do this question by using concept of SYSTEM OF EQUATIONS. The answer for the question is option B.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables." A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

7x=21 is the intermediate state.

 x=3 is the given solution

Substitue x in the given solutions and find y from the given solutions.

   9+2y=7 and 6-y=7

 so y=-1 in both the cases.

We can do this question by using concept of SYSTEM OF EQUATIONS. The answer for the question is option B.

To refer more about SYSTEM OF EQUATIONS, visit:

https://brainly.com/question/25976025

#SPJ1

Answer:

B, d, e

Step-by-step explanation:

The formula for the area of a triangle is 1/2×base (b)×height (h)

For b

Half of 3 is 1.5 × 8 = 12

For d

Half of 6 is 3 × 4= 12

For e

Half of 12 is 6 × 2= 12

Answer:

i need points i sugjest going on yt it gives you full guide

Step-by-step explanation:

Answer:

I think its 3 I took this test last year if I remember right 3

Answer and Step-by-step explanation:

2 + 83p would be the expression.

In word form:

Two plus eighty three times p.

#teamtrees #PAW (Plant And Water)

Answer:

[tex]2 + 83p[/tex]

Step-by-step explanation:

The phrase 'the sum of' indicates addition.

The phrase "The sum of 2 and 83p​" would add '2' and '83p'.

"The sum of 2 and 83p​" as an expression would be: [tex]2 +83p[/tex].

[tex]83p + 2[/tex] would also be correct due to the commutative property.

Hope this helps.

9514 1404 393

Answer:

  A.  20 miles

Step-by-step explanation:

You will recognize this right triangle as a 3-4-5 right triangle scaled by a factor of 10 miles. That means the "old road" length is 50 miles. The new road lenth is 40+30 = 70 miles, so the added distance is ...

  70 miles - 50 miles = 20 miles . . . . extra travel distance

__

Maybe you've never heard of a 3-4-5 right triangle, so you need to use the Pythagorean theorem to compute the length of the old road. It tells you the square of that length is the sum of the squares of the new road segment:

  OR² = 40² + 30²

  OR² = 1600 +900 = 2500

  OR = √2500 = 50 . . . . the length of the old road is 50 miles