Consider the following hypothesis test: : : A sample of provided a sample mean and a sample standard deviation . Enter negative values as negative numbers. a. Compute the value of the test statistic (to three decimal places).

Answers

Answer 1

Answer:

-1.540

Step-by-step explanation:

H0 : μ = 18

H0 : μ ≠ 18

The sample size, n = 48

Sample mean, xbar = 17

Sample standard deviation, s = 4.5

α = 0.05

The test statistic :

(xbar - μ) ÷ (s/√(n))

(17 - 18) ÷ (4.5 / √48))

-1 ÷ 0.6495190

= -1.5396

= -1.540 (3 decimal places ).

Consider The Following Hypothesis Test: : : A Sample Of Provided A Sample Mean And A Sample Standard

Related Questions

Find the area of circle x that has a radius at coordinates X = (0, 3) and Y = (-3, -1). Round to the nearest tenth.

Answers

Answer:

78.5 units²

Step-by-step explanation:

Area of circle:

A = πr²

Distance between x and y is same as r, so:

r² = (0 + 3)² + (3 + 1)² = 9 + 16 = 25

Then the area is:

A = π*25 = 78.5 units² (rounded)

If you like peanut butter and chocolate, then you will love Reese's.

What is the converse of the statement?

Answers

Answer:

Reese's love peanut butter and chocolate

hope it helps u

plz mark it as brainliest

Help me please. Thanks.

Answers

(3,4) (5,6) and then you graph it

Step-by-step explanation:

for your 1008 question:

1008/2

504/2

252/2

126/2

63/3

21/3

7/7

1

1008 = 2x2x2x2x3x3x7

1008 = (2^2)×(2^2)x(3^2)×7, so 7 would be the answer because of this

lmk if you need me to elaborate on anything

PLEASE HELP! PLEASE SHOW WORK
Use the following expression to answer this three part question:
f(x) = 2x2 + 4x − 6

Part A: What are the x-intercepts of the graph of f(x)? Show your work.

Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.

Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.

Answers

Answer:

Step-by-step explanation:

The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function.

Which expression is equivalent to 3/2?

Answers

Answer: the answer is D. I took the test & got it right

Step-by-step explanation:

The expression is equivalent to 3/2 will be;

⇒ 3y/(2y - 6) + 9/(6 - 2y)

Option D is true.

What is an expression?

Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

Equivalent expression is 3/2.

Now,

Let the expression is;

⇒ 3y/(2y - 6) + 9/(6 - 2y)

Solve the expression as;

⇒ 3y/(2y - 6) - 9/(2y - 6)

⇒ (3y - 9) / (2y - 6)

⇒ 3 (y - 3) / 2 (y - 3)

⇒ 3/2

So, The expression is equivalent to 3/2 will be;

⇒ 3y/(2y - 6) + 9/(6 - 2y)

Option D is true.

Learn more about the fraction visit:

https://brainly.com/question/20323470

#SPJ2

Write the solution set of the equation x2 – 4=0 in roster form

Answers

Answer:

Step-by-step explanation:

x²-4=0

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

x=-2,2

solution is x∈{-2,2}

The Students in a school can be arranged in 12, 15, 18 equal rows and also into a solid square. What is the lowest number of students that can be in the school? (Hint: find the LCM)

Answers

Answer:

180

Step-by-step explanation:

What is 7/9 divided by 1/3

Answers

Answer:

[tex]{ \tt{ = \frac{7}{9} \div \frac{1 }{3} }} \\ = { \bf{ \frac{7}{9} \times \frac{3}{1} }} \\ = \frac{7}{3} [/tex]

What is the mean absolute deviation? 6,5,7,2,4,8

Answers

Answer:

To find the mean absolute deviation of the data, start by finding the mean of the data set. Find the sum of the data values, and divide the sum by the number of data values. Find the absolute value of the difference between each data value and the mean: |data value – mean|

Step-by-step explanation:

According to class 8 please solve

Answers

Answer:

i) The value of x is 3.

ii) TE = 20cm

RN = 20cm

Step-by-step explanation:

According to the properties of rectangles,

The diagonals of rectangles are equal and bisect each other at 90°.

As per this,

OR = OT

[tex]2x + 4 = 3x + 1[/tex]

[tex]4 - 1 = 3x - 2x[/tex]

[tex]3 = x[/tex]

TE = 2OT

TE = 2(3x + 1)

= 6x + 2

= 6(3) + 2

= 18 + 2

= 20

RN = 2OR

RN = 2(2x + 4)

= 4x + 8

= 4(3) + 8

= 12 + 8

= 20

Pls help this set question

Answers

1: True

2: False

3: False

4: True

5: False

6: True

Which expression is equivalent to this polynomial?
16x2 + 4
A.
(4x + 2i)(4x − 2i)
B.
(4x + 2)(4x − 2)
C.
(4x + 2)2
D.
(4x − 2i)2

Answers

Answer:

A.

Step-by-step explanation:

C and D do not create any x² terms when doing the multiplications. so, they are out.

B stands for (a+b)×(a-b) = a² - b².

so, that would give us a "-4" at the end and is not fitting to the "+4" term at the end of the original expression.

that leaves us with A.

let's verify :

(4x+2i)(4x-2i)

it follows the same rule as B :

(a+b)(a-b) = a² - b²

a = 4x

b = 2i

you remember, i = sqrt(-1).

so, we get

(4x)² - (2i)² = 16x² - 4×(sqrt(-1))² = 16x² - 4×(-1) = 16x²+4

bingo !

Answer:

Step-by-step explanation:

the answer is A

Parallelogram A B C D is shown. Line segment X Y goes from point X on side A B to point Y on side C D to form 2 trapezoids.
Figure ABCD is a parallelogram. Two trapezoids are created using line segment XY such that AX ≅ CY.

What is true about the areas of the trapezoids?

Each area is equal to half of the area of ABCD.
The area of AXYD is less than the area of BXYC.
The area of AXYD is greater than the area of BXYC.
Each area is equal to the area of ABCD.

Answers

Answer:

Each area is equal to half the area of ABCD

Step-by-step explanation:

AX ≅ CY    

In parallelogram, opposite sides are equal.

AB = CD

AX + XB = CY + YD

 CY + XB = CY + YD

          XB = CY + YD - CY

XB  = CY

Both trapezoids have equal area

Area of AXYD + area of BXYC =  area of ABCD        

Answer:

A. )  Each area to equal to half of the area of ABCD

Step-by-step explanation:

Edge 2021

HELP i need help on part b

Wilson is thinking about buying a house for $249,000. The table below shows the projected value of two different houses for three years.

Number of years 1 2 3
House 1 (value in dollars) 253,980 259,059.60 264,240.79
House 2 (value in dollars) 256,000 263,000 270,000

Part A: What type of function, linear or exponential, can be used to describe the value of each of the houses after a fixed number of years? Explain your answer. (2 points)

Part B: Write one function for each house to describe the value of the house f(x), in dollars, after x years. (4 points)

Part C: Wilson wants to purchase a house that would have the greatest value in 45 years. Will there be any significant difference in the value of either house after 45 years? Explain your answer, and show the value of each house after 45 years. (4 points)

Answers

Answer

Number of years 1               2            3

House 1 (value in dollars) 249,000 253,980 259,059.60

House 2 (value in dollars) 249,000 256,000 263,000

House 1: exponential function

House 2: linear function

House 1: f(x) = 249,000 * (1.02)^(x-1)

→ f(3) = 249,000 * (1.02)³⁻¹ = 249,000 * (1.02)² = 259,059.60

House 2: f(x) = 249,000 + 7,000(x-1)

→ f(3) = 249,000 + 7,000(3-1) = 249,000 + 7,000(2) = 249,000 + 14,000 = 263,000

House 1:

f(45) = 249,000 * (1.02)⁴⁵⁻¹ = 249,000 * (1.02)⁴⁴ = 249,000 * 2.39 = 595,110

House 2:

f(45) = 249,000 + 7,000(45-1) = 249,000 + 7,000(44) = 249,000 + 308,000 = 557,000

House 1 will have a greater value than House 2 after 45 years.

Step-by-step explanation:

Hope this helps, if not let me know and I will fix it.

Part A

The value for house 1 follows an exponential growth function since the value is increasing by 2% each year. This is because we multiply each value by 1.02 to get the next year's value.

249,000*1.02 = 253,980253,980*1.02 = 259,059.60259,059.60*1.02 = 264,240.792 = 264,240.79

In contrast, house 2's value increases by the same amount each year (7000 per year)

249,000 + 7,000 = 256,000256,000 + 7,000 = 263,000263,000 + 7,000 = 270,000

This fixed amount it increases directly leads to house 2 having linear growth.

-----------

Summary:House 1 = exponential functionHouse 2 = linear function

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

Part B

The equation for house 1's value is y = 249000(1.02)^x

This is in the form y = ab^x, where a = 249000 is the starting value and b = 1.02 is the growth rate factor.

We can think of 1.02 as 1+0.02 to represent the 2% growth.

In other words, 1.02 = 1+r solves to r = 0.02 = 2%

-----------

The equation for the second home's value is y = 7000x+249000

The slope m = 7000 tells us how the value is going up per year.

The y intercept b = 249000 is the original home value (when x = 0).

-----------

Summary:Equation for home 1 is f(x) = 249000(1.02)^xEquation for home 2 is f(x) = 7000x+249000

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

Part C

Let's plug x = 45 into each equation mentioned in part B

For home 1, we have

f(x) = 249000(1.02)^x

f(45) = 249000(1.02)^45

f(45) = 607,025.697

f(45) = 607,025.70

So that's the value of home 1 after 45 years of constant 2% growth per year

For the second home, we have,

f(x) = 7000x+249000

f(45) = 7000*45+249000

f(45) = 564,000

So there is a significant difference. This difference is 607,025.70 - 564,000 = 43,025.70 dollars.

-----------

Summary:Home 1's value = $607,025.70Home 2's value = $564,000This is a difference of $43,025.70 which is fairly significant. It's better to go with home 1.

A jewellery shop is having a sale. A bracelet is now reduced to £420. This is 70% of the original price. Work out the original price of the bracelet.

Answers

Answer:

Step-by-step explanation:

x is the original price.

420/x = 70% = 0.7

x = 420/0.7 = 600

Original price of bracelet was £600

Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Find the area of the triangle.
8
9
Square units
Reset
Next

Answers

Answer:

36 spuare units

Step-by-step explanation:

A= 1/2 b*h

b=8

h=9

A=1/2(8*9)

A=1/2(72)

A=36

Which of the following is not a way to represent the solution of the inequality 2(x − 1) greater than or equal to −12? (1 point)

x greater than or equal to −5
x less than or equal to −5
−5 less than or equal to x
A number line with a closed circle on negative 5 and shading to the right

Answers

Answer:

x less than or equal to -5

Step-by-step explanation:

2(x-1) ≥ -12

2x - 2 ≥ -12

2x ≥ -10

x ≥ -5

Find the slope between the points (−3,−5) and (10,-5)

. Enter DNE if the slope between the points is undefined.

Answers

Answer:

0

Step-by-step explanation:

[tex] m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] m = \dfrac{-5 - (-5)}{-3 - 10} [/tex]

[tex] m = \dfrac{0}{-13} [/tex]

[tex] m = 0 [/tex]

from -3 to 10 are 13 steps to the right and from -5 to -5 0 steps up or down.

devide the steps up by the steps to the right

0 / 13 = 0

in this case it's obvious, but I hope you see the method how to do this. you would normally get a more interesting fraction as a slope.

if u={1,2,3,4,5},A={2,4} and Beta {2,5,5}find n(AUB)​

Answers

u={1,2,3,4,5},A={2,4} and Beta {2,5,5}

now, (AUB)={1,3,3,4,5}

[AUB is the set of all elements of set A and set B without any repetition ]

n(AUB)=5

n(AUB)is the total no of elements in set (AUB)

Can you help me with this question? It’s in the photo

Answers

Answer:

Option (d), (e) and (f) are correct.

Step-by-step explanation:

In triangle MNP, angle P = 90 degree

Cos M = 7 / 12

Now according to the right angle triangle

[tex]NP^2 = NM^2 - PM^2\\\\NP^2 = 12^2 - 7^2\\\\NP = \sqrt95[/tex]

Now

[tex]Sin M = \frac{sqrt95}{12}\\\\Cos N = \frac{95}{12}[/tex]

Help please guys if you don’t mind

Answers

Step-by-step explanation:

Step 2:

[tex] ({15x}^{2} - 9x) + (5x - 3)[/tex]

Stepc3:

[tex]3x(5x - 3)[/tex]

A local hamburger shop sold a combined total of 688 hamburgers and cheeseburgers on Thursday. There were 62 fewer cheeseburgers sold than hamburgers How many hamburgers were sold on Thursday?​

Answers

Answer:

626

Step-by-step explanation:

So 62 fewer right so 688 combined- 62 cheeseburger =626 hamburger

subtract the following rational expressions
[tex] \frac{8k}{9k - 4} - \frac{3k^3}{2k + 7} [/tex]
please show all work​

Answers

Answer:

-27k^4 +12k^3+16k^2+56k

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

(9k-4)(2k+7)      

Step-by-step explanation:

8k                  3k^3

---------   -  -----------

9k-4             2k+7

Get a common denominator

8k *(2k+7)          3k^3 *(9k-4)

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

(9k-4)(2k+7)        (9k-4)(2k+7)

Combine

8k *(2k+7) -3k^3 *(9k-4)

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

(9k-4)(2k+7)        

Distribute

16k^2+56k -27k^4 +12k^3

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

(9k-4)(2k+7)      

-27k^4 +12k^3+16k^2+56k

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

(9k-4)(2k+7)        

225 students appeared at an examination. Among them, the ratio of the number of students who passed in the first and in the second division were 4.5. If 25 students passed in the third division and 29 students failed in the examination, find (i) the number of students who passed in the first and in the second division (ii) The ratio of the number of students who passed in the first second and in the third division.​

Answers

(i) the number of students who passed in the first and in the second division

         76+95=171 students

(ii) The ratio of the number of students who passed in the first second and in the third division.

RATIO  is    4:5:(25/19)       or          4:5: 1.3157894…….

225-29=196 (29students failed)

196-25=171. (Subtract 25 students from the 3rd division)

4x+5x= 171 (171 students from 1st and second division)

9x=171

         X=19

4x19=76        5x19= 95         1.31578.....x19= 25

In 2005, there were 1000 rabbits on an island. The population grows 8% per year. AT this rate, how many
rabbits will there be on the island by 2020?

Answers

Answer: 3172

Step-by-step explanation:

Please help me with this... will give brainliest

Answers

Answer:

94 cm^2

Hope it helps!

what percent of 98 million is 7740

Answers

Answer:

Step-by-step explanation:

x : 100 = 7740 : 98 000 000

x = (7740 * 100)/98 000 000

x = 0.007898 %

A percentage is a hundredth of a number      Then                                                    [tex]\displaystyle\bf \frac{7740}{98\cdot10^6} \cdot100=\frac{387}{49000} \approx 0,00789\%[/tex]                                                      

• Work out
3 1/2 X 1 3/5
Give
your answer as a mixed number in its simplest form

Answers

Answer:

5 3/5

Step-by-step explanation:

3 1/2 * 1 3/5

Change to  improper fractions

(2*3+1)/2  * (5*1+3)/5

7/2 * 8/5

56/10

Change back to a mixed number

50/10 +6/10

5 +3/5

5 3/5

Find the measure of the indicated angle

Answers

Answer:

Step-by-step explanation:

Because of the Isosceles Triangle Theorem, the angles across from the congruent sides will be congruent. That means that the angle x also measures 42 degrees.

Question 19 (5 points)
Determine the measure of 82.49
43.1°
55.0° °
46.3°

Answers

Answer:  43.1 degrees (choice B)

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

Work Shown:

Use the law of sines

sin(A)/a = sin(C)/c

sin(A)/20 = sin(82)/29

sin(A) = 20*sin(82)/29

sin(A) = 0.68294349

A = arcsin(0.68294349)

A = 43.074088

A = 43.1 degrees

Answer:

43.1°

Step-by-step explanation:

Hello, just finished the quiz and the correct answer is 43.1 degrees.

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