Assume that the data has a normal distribution and the number of observations is
greater than fifty. Find the critical z value used to test a null hypothesis.
a = 0.05 for a two-tailed test.
O±2.575
O±1.764
O±1.645
O±1.96

Answers

Answer 1

-1.96 and 1.96 are the essential z values for a two-tailed test with a significance level of 0.05.

A null hypothesis is what?

A null hypothesis is a statistical hypothesis that presupposes that there is no link between two variables in a population or that there is no meaningful difference between two populations. It serves as the beginning point of a statistical hypothesis test and is typically marked as H0. A null hypothesis serves as a reference point against which the alternative hypothesis may be compared. The alternative hypothesis is accepted if there is sufficient evidence from the data to reject the null hypothesis. The null hypothesis is not rejected if there is insufficient evidence in the data to support it.

Using a significance threshold of 0.05, we may use a conventional normal distribution table or calculator to get the essential z value. The value that corresponds to the 0.025 percentile is the crucial z value (or the 0.975 percentile, depending on the direction of the alternative hypothesis).

The z value for the 0.025 percentile, as determined by a typical normal distribution table, is -1.96.

Hence, -1.96 and 1.96 are the essential z values for a two-tailed test with a significance level of 0.05.

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Related Questions

Factorise 3-6x I don’t know how to do it

Answers

Answer:

Step-by-step explanation:

-3(2x-1)

Answer is 3 ( 1 -2x )

Step by step

3 - 6x is your expression

You want to factor out any number or variable that can be divided into any number or variable in the term

3 is divisible by 3 and 6 is divisible by 3 so 3 goes outside the parentheses

x is NOT divisible in 3 although it is in 6x
It has to work with every part of the term so x cannot be factored out

3 ( )

Now divide the two parts of your term by 3 and put your answer in the parentheses

3/3 - 6x/3

3 ( 1 - 2x )

You can check your work by distribution

3 ( 1 - 2x )

3 - 6x
This was your original expression! Problem solved


A loan of $12,000 with interest at 14% compounded annually is to be amortized by equal payments at the end of each year for six years. What will the balance outstanding be after second year?

Answers

To calculate the balance outstanding after the second year of equal payments, we can use the formula for the future value of an annuity:

FV = PMT x [(1 + r)^n - 1] / r

Where:
FV = future value of the annuity
PMT = the equal payment amount
r = the interest rate per period (in this case, the annual interest rate divided by the number of payment periods per year)
n = the total number of payment periods

In this case, we have:
PMT = the equal payment amount
r = 14% / 1 = 14% per year (since interest is compounded annually)
n = 6 years
We need to first calculate the PMT using the formula for the present value of an annuity:

PMT = PV x [r / (1 - (1 + r)^(-n))]

Where:
PV = present value of the annuity

To find PV, we can use the formula for the present value of a lump sum:

PV = FV / (1 + r)^n

Where:
FV = the total loan amount
r = 14% per year
n = 6 years

Plugging in the values, we get:

PV = $12,000 / (1 + 0.14)^6
PV = $5,070.33

Now we can calculate PMT using the present value:

PMT = $5,070.33 x [0.14 / (1 - (1 + 0.14)^(-6))]
PMT = $2,360.63

Therefore, the equal payment amount is $2,360.63 per year.

To calculate the balance outstanding after the second year of payments, we can use the formula for the future value of an annuity with two years of payments:

FV = PMT x [(1 + r)^n - 1] / r

Where:
FV = the future value of the annuity after two years of payments
PMT = $2,360.63
r = 14% / 1 = 14% per year (since interest is compounded annually)
n = 2 years

Plugging in the values, we get:

FV = $2,360.63 x [(1 + 0.14)^2 - 1] / 0.14
FV = $4,950.53

Therefore, the balance outstanding after the second year of payments is $4,950.53.

The ratio of men to women at the picnic is 4:5,if there are 819 people, how many men are there in the picnic​

Answers

Answer:

819/5 is the correct answer that I think

Image shows 2 joined rectangular prisms. One is 10 in. in length, 6 in. in height, and 3 in. in width. The second is 4 in. in length, 3 in. in width, and 6 in. in height. Which expressions can be added to find the volume of the solid figure? A. 10 × 3 and 10 × 6 B. 10 × 3 × 6 and 4 × 3 × 6 C. 10 × 4 and 3 × 6 D. 10 × 3 × 3 and 10 × 3 × 6

Answers

The correct option to determine the value of volume of solid figure is: B. 10 × 3 × 6 and 4 × 3 × 6.

Explain about the rectangular prisms?

One of the three-dimensional shapes that can be created with six pairs with parallel lines is a rectangular prism. Three-dimensional shapes in this category include cubes and cuboids. Prisms come in a variety of classifications based on the base.

Volume of rectangular prism = length * width * height

rectangular prism A:

length =  10 in.

Width =  3 in.

height = 6 in.

rectangular prism B:

length =  4 in.

Width =  3 in.

height = 6 in.

Thus,

volume of the solid = volume of rectangular prism A + volume of rectangular prism A

volume of the solid = 10*3*6 + 4*3*6

Thus, the correct option to determine the value of  volume of the solid figure is: B. 10 × 3 × 6 and 4 × 3 × 6.

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thier sum is -7 thier diffrence is 14


HELP

Answers

Using algebraic expressions, x = 7/2 and y = -21/2.

An algebraic expression might be made up of a single word or a group of words.

An algebraic expression can be any number, variable, or set of operations, whereas an equation is two different algebraic expressions connected together with an equal sign.

x = 7/2 and y = -21/2

Let x and y be those numbers.

In response to your query

x + y = -7

x - y =14

both equations added

2x = 7

or x = 7/2

the equivalent x value in either equation

y = -21/2

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Complete question -

What are the two numbers if their sum is −7 and their difference is 14?

A local bank has determined that the daily balances of the checking accounts of its customers are normally distributed with an average of $280 and a standard deviation of $20.
a. What percentage of its customers has daily balances of more than $275?
b. What percentage of its customers has daily balances less than $243?
c. What percentage of its customers' balances is between $241 and $301.60?

Answers

Answer:

Step-by-step explanation:

Need a z-score with all of these, which essentially makes the table needed a standard normal table with mean 0 and sd 1

z=(x-mean)/sd

a. (275-280)/20=-0.25

want the probability of z <-0.25, and that is 0.4013 or 40.13%

b.(243-280)/20=-1.85, and probability of z < -1.85 is 0.0322 or 3.22%

c. this is z of -39/20 or -1.95 and z of 21.60/20 or 1.08. This has a probability of 0.8343 or 83.43%

Use 2nd VARS 2 for normal cdf and put in the numbers, with at least -6 or +6 for minus or plus infinity. 1E99 is fine but isn't really necessary.

Help please !!
The volume of a fixed amount of a gas varies directly as the temperature 7 and inversely as the pressure P. Suppose that I'-70 cm³ when 7-420 kelvin
kg
kg
and P-18-
Find the temperature when
is 60 cm and P-7
X

Answers

Answer:

First question:

We can start by setting up the formula that relates the volume V, temperature T, and pressure P:

V = k * (T/P)

where k is a constant of proportionality. We can solve for k by plugging in the given values for V, T, and P:

70 = k * (420/18)

Simplifying the right side of the equation, we get:

70 = k * 23.3333

Dividing both sides by 23.3333, we get:

k = 3

Now we can use this value of k to find the temperature T when V is 60 cm and P is 7:

60 = 3 * (T/7)

Simplifying the equation, we get:

T/7 = 20

Multiplying both sides by 7, we get:

T = 140

Therefore, the temperature when V is 60 cm and P is 7 is 140 kelvin.

Second question: We can start by using the formula that relates the time (T), distance (D), and speed (S):

D = S * T

Since the distance between the two cities is constant, we can set the distances for the two cars to be equal:

35 * 9 = 21 * T

Simplifying the right side of the equation, we get:

315 = 21T

Dividing both sides by 21, we get:

T = 15

Therefore, the trip takes 15 hours for a car moving at 21 mph.

Hopefully this helps you! I'm sorry if it wrong. If you need more help, ask me! :]

Solve g−17≥17 . Graph the solution.

Answers

The inequality expression g - 17 ≥ 17 when solved has a solution of g ≥ 34

How to solve the given inequality

Given the inequality expression

g - 17 ≥ 17

To solve the inequality g - 17 ≥ 17, we need to isolate the variable g on one side of the inequality.

We can do this by adding 17 to both sides of the inequality:

g - 17 + 17 ≥ 17 + 17

Simplifying, we get:

g ≥ 34

So the solution to the inequality is all values of g that are greater than or equal to 34.

We can graph this solution on a number line by placing a closed circle at 34 and shading to the right, to indicate that any value greater than or equal to 34 satisfies the inequality.

The graph looks like this the attached figure

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Four identical cubes are joined to make a new shape.

What is the new shape’s surface area?

Answers

The surface area of the shape which was formed when four identical cubes were joined, is 882 yd ².

How to find the surface area ?

The surface area of a cube can be found by the formula :

= Number of faces x Length of a side ²

When four identical cubes were joined, this leads to the creation of 18 faces which means that the surface area of the cube would then be :

= 18 x 7 x 7

= 18 x 49

= 882 yd ²

In conclusion, the area is 882 yd ².

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Quadrilateral ABCD is shown.
-5
A
3
N
6
2
5-
3-
2-
1-
10
-1-
-24
-3-
-4-
-5-
A
B
(a) Work out the coordinates of C when ABCD is
Rotated 900 clockwise about 0
then
translated by
1 2
3
D
с
4
5
[2 marks]

Answers

Answer:

  C'(-5, -2)

Step-by-step explanation:

You want the coordinates of point C(4, 1) after rotation 90° CW about the origin and translation by (-6, 2).

Rotation

The transformation accomplished by rotation 90° clockwise is ...

  (x, y) ⇒ (y, -x)

Translation

The translation by (-6, 2) adds those values to the coordinates:

  (x, y) ⇒ (x -6, y +2)

Both transformations

Combined, the transformations give you ...

  (x, y) ⇒ (y -6, -x +2)

  C(4, 1) ⇒ C'(1 -6, -4 +2) = C'(-5, -2)

The coordinates of C after the transformation(s) are (-5, -2).

Draw a dialation with center at the Irgun of the triangle with the vertices (2,0) ,(4-4), (6,2) scale factor of k =1.5

Answers

The sides of the dilated triangle are parallel to the sides of the original triangle, but their lengths are multiplied by the scale factor k.

What is triangle?

A triangle is a closed two-dimensional figure with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many different areas of mathematics, science, and everyday life. A triangle is defined by its three vertices (or corners), which are the points where the sides of the triangle intersect. The three sides of the triangle are the line segments connecting the vertices. The three angles of the triangle are the angles formed by the intersection of two sides.

Here,

To dilate a triangle with a center at the origin, we need to multiply the coordinates of each vertex by the scale factor k. However, in this case, the center of dilation is not at the origin, but at the point Irgun. To perform the dilation, we can follow these steps:

Plot the original triangle with vertices (2,0), (4,-4), and (6,2).

Draw a line segment from the center of dilation Irgun to each vertex of the triangle.

Measure the distance from Irgun to each vertex, and multiply it by the scale factor k = 1.5 to find the new distance.

Use the new distances to construct the dilated triangle by drawing line segments from Irgun to points that are 1.5 times farther away from Irgun than the corresponding vertices of the original triangle.

The resulting dilation of the triangle with center at Irgun and scale factor k = 1.5 is shown below:

In this image, the original triangle is shown in black, and the dilated triangle is shown in blue. The center of dilation Irgun is marked with a red dot. Note that the new vertices of the dilated triangle are (0.5,0), (3,-6), and (7.5,3), which are 1.5 times farther away from Irgun than the corresponding vertices of the original triangle.

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se the equations shown in the table below to answer the following question.



Equation A -2x -6y=36 -4r
Equation B 2(3x-3y)=36
Equation C 4r-6y+36=-2r



Which two of the three equations create a system of equations with no solution?
Explain how you determined your answer.

Respond in the space provided.

Answers

i did it how can i send you a picture

Consider the equation: x2 18x +72 = 0
A) First, use the "completing the square" process to write this equation in the form (x + D)² =
and enter your results below.
x² 18x+72=0 is equivalent to:
=
Preview left side of eqn:
B) Solve your equation and enter your answers below as a list of numbers, separated with a com
where necessary.
Answer(s): 6,12

Answers

Using square process method, we can get the values of x to be 12 and 6.

Define square process?

The formula a (x + m)2 + n = a (x + m)2 + n is the simplest to remember while learning how to complete the square technique.

The following formulas can be used to compute m and n in this situation: m = b/2a and n = c - (b2/4a).

From the question,

x² - 18x + 72= 0

⇒ x² - 18x = -72

Complete the square by adding the half of the square of the coefficient of x to both sides of the expression as shown:

⇒ x² - 18x + (18/2) ² = -72 + (18/2) ²

⇒ x² - 18x + 9² = -72 + 81

⇒ (x-9) ² = 9

⇒ x-9 = ± 3

So, values of x are:

x = 3 + 9

= 12

x = -3 + 9

= 6

Therefore, the values of x are 12 and 6.

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In how many ways can the letters A, B, C, D, E, F, G, H be arranged?

Answers

Answer:

40,320

Step-by-step explanation:

There are 8 letters in total:

So, in the first place we can put all 8 letters

In the 2nd place we can put 7 (all except the letter in the first place and so on...)

Let's multiply the options (the order is important):

8! or 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40,320 (8 places for letters in total)

Philip and Laura want to build a pool in their backyard. The length and width of the pool can be represented by the equation f(x)=(x-3)(5x+2) feet. What is the area of Philip and Laura’s pool? You must show your work and include your units.

Answers

Answer:

      5x^2 - 19x + 15

Step-by-step explanation:

We must multiply the pool's length and width to determine its area. We can factor the equation f(x)=(x-3)(5x+2) to determine the length and width:

f(x) = (x-3)(5x+2)

f(x) = 5x^2 - 13x - 6

One of the parameters is the pool's length (x-3), while the other is its breadth (5x+2). We multiply these two elements to determine the area:

Area is length times width (x-3)

(5x+2)

By extending this statement using FOIL (First, Outer, Inner, Last), we may make it simpler:

Area is equal to  5x^2 - 13x - 6x + 15

Area: 5x^2 - 19x + 15

The pool at Philip and Laura's home is therefore  5x^2 - 19x + 15 square feet in size. We are unable to establish the precise square footage of the pool because we were not given a specific figure for x.

Helppp ! , Use substitution to solve each system of equation and must show checks !!!

Answers

5x - 2x = 9

Collect terms

3x = 9

Divide by 3

X= 3


____________________


Plug 3 for x


Y= 2•3

Y= 6

——————————————

Check:


{ 6 = 2•3
{ 5•3-6 = 9


{ 6 = 6
{ 9 = 9


Solution:


( X, Y ) = ( 3, 6 )

complete the table based on the pattern you see

Answers

The figures to complete the table, based on the pattern, would be 6. 20, 7.00.

How to complete the table ?

To complete the table, you need to find the common difference between the values in B which is :

= 4. 6 - 3. 8                                         = 5. 4 - 4. 6

= 0. 80                                                   = 0. 80

The next two values would therefore be :

= 5. 4 + 0. 80                                        = 6. 20 + 0. 80

= 6. 20                                                  = 7. 00

The complete table then is :

A -  5,    6,   7,      8,       9

B- 3.8, 4.6, 5.4, 6. 20, 7. 00

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The full question is:

Complete the table based on the pattern you see:

A- 5, 6, 7, 8, 9

B- 3.8, 4.6, 5.4, ____, ____,

julia needs to make 500 hamburgers for the a school function... hamburger patties are sold in packets of 12

how many packets of patties should she buy ?

Answers

Julia needs to buy 42 packets of patties to make 500 hamburgers for the school function

What is an equation?

An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.

Hamburger patties are sold in packets of 12. Let x represent the number of packet of patties to be bought to make 500 hamburgers. Hence:

12x = 500

x = 500/12

x = 41.67

x≅ 42

Julia needs to buy 42 packets

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a) Copy and complete the table below for the graph of y = 2x.
21=33 9 1 2
1-4-2 A
b) The lines y = x and y = 2x are shown on the axis below.
Write down one similarity and one difference between these lines.
f y-20 У=2
5-
4-
3-
1-
654-32-18 1 23 45 6*
1-2
--3・
-4・
-5
-6-

Answers

a) Here is the completed table for y = 2x:

x y
0 0
1 2
2 4
3 6
4 8
5 10
b) One similarity between the lines y = x and y = 2x is that they both pass through the origin (0,0). This means that when x = 0, y = 0 for both lines.

One difference between the lines is their steepness or slope. The slope of y = x is 1, which means that for every 1 unit increase in x, there is a 1 unit increase in y. The slope of y = 2x is 2, which means that for every 1 unit increase in x, there is a 2 unit increase in y. This means that the line y = 2x is steeper than the line y = x.

Question 1
Find the unpaid balance, new interest, and purchasing power on the credit card after the minimum monthly payment is made. The interest charge for unpaid balances is 18% per year.
Credit Card Balance = $5000
Credit Limit = $5000
Minimum Payment = $125.00

Answers

Assuming that there are no other transactions or fees on the credit card, here's how to calculate the unpaid balance, new interest, and purchasing power on the credit card after the minimum monthly payment is made:

1.) Unpaid Balance: The unpaid balance is the amount of the credit card balance that remains after making the minimum monthly payment. In this case, the minimum monthly payment is $125, so the unpaid balance would be:

$5000 - $125 = $4875

2.) Interest Charge: The interest charge for unpaid balances is 18% per year. To calculate the monthly interest rate, divide the annual rate by 12:

18% / 12 = 1.5%

3.) To calculate the interest charge for the month, multiply the unpaid balance by the monthly interest rate:

$4875 x 1.5% = $73.13

So the new interest charge for the month is $73.13.

4.) Purchasing Power: Purchasing power refers to the amount of credit that is available on the credit card after making the minimum monthly payment and accounting for any interest charges. To calculate the purchasing power, subtract the unpaid balance and interest charge from the credit limit:

$5000 - $4875 - $73.13 = $51.87

So the purchasing power on the credit card after the minimum monthly payment is made is $51.87.

If sin 0 = -2/3which of the following are possible?

Answers

Is sin (θ) = - 2/ 3, the options that are possible include:

A) sec(θ) = -3/2 and tan(θ) = 2/√5C) cos(θ) = -(√5)/3 and tan(θ) = 2/√5

How to find the possible expressions?

Since sec(θ) is negative, cos(θ) is also negative (sec(θ) = 1/cos(θ)). This means θ is in the second or third quadrant, but since sin(θ) is negative, θ must be in the third quadrant. Now let's check if the given tan(θ) value is correct:

tan(θ) = sin(θ)/cos(θ)

Since we already know that cos(θ) is negative, we have cos(θ) = -(√5)/3.

Now calculate tan(θ):

tan(θ) = (-2/3) / (-(√5)/3) = 2/√5

The given values in option A are correct.

cos(θ) = -(√5)/3 and tan(θ) = 2/√5

These are the same as in option A. So, this option is also possible.

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A cylinder has a volume of 1 and one third in3 and a radius of one third in. What is the height of a cylinder? Approximate using pi equals 22 over 7.

42 over 6 inches
42 over 9 inches
42 over 11 inches
42 over 22 inches

Answers

The height of the cylinder is approximately 42/11 inches. The answer is option C.

What is the formula for the volume of the cylinder?

The formula for the volume of a cylinder is V = πr²h, where V is the volume, r is the radius, and h is the height.

We are given that the volume of the cylinder is 1 and one-third in^3 and the radius is one-third in. Substituting these values into the formula, we get:

1 and one-third = 4/3

V = π(1/3)²h = 4/3

Simplifying the equation, we get:

h = (4/3) / (π(1/3)²) = (4/3) / (π/9) = (4/3) * (9/π) = 12/π

Approximating π as 22/7, we get:

h ≈ (12/π) ≈ (12/(22/7)) = 42/11 inches

Therefore, the height of the cylinder is approximately 42/11 inches. The answer is option C.

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Please Help

20 Points
Show you're work please..

Answers

Answer:

(a) 512 ft² , (b) 720 ft²

Step-by-step explanation:

the area of a rectangle is calculated as

area = length × width

(a)

area of pool = 32 × 16 = 512 ft²

(b)

the area of the deck is calculated as

area of outer rectangle - area of pool

area of outer rectangle = 44 × 28 = 1232 ft²

area of deck = 1232 - 512 = 720 ft²

what is 19/100,also written into decimals

Answers

19/100 into decimals is 0,19

To solve this, we must know

To write a fraction based on 10/100/1000... you must move the decimal point to the left the number of times equivalent to the number of zeros in the base.
In this case, base 100 has two zeros. Then move two squares to the left.

This way

[tex]\begin{array}{l}\bf 19\\\sf {0}{,}\!\overset{\overset{2}{\curvearrowleft}}{1}\!\overset{\overset{1}{\curvearrowleft}}{9}\\\\\bf \dfrac{19}{100}=0{,}19\end{array}[/tex]

Did you see how easy the conversion was under these circumstances?

If you have any question about this solution, you can ask me in the comments :)

Find exact values for the following:

Answers

Answer:

-sqrt(2)
-sqrt(2)
1
1

Step-by-step explanation:

This graph shows how the time required to complete an online shopping transaction is related to the number of products being purchased.

y
x
10
20
30
40
50
60
70
80
90
100
10
20
30
40
50
60
70
80
90
100
0
Time (seconds)
Products being purchased
Online shopping


What is the rate of change?

Write your answer as a decimal or integer.

seconds per product

Answers

Answer:

1 product

Step-by-step explanation:

Given the equation that shows how the time required to complete an online shopping transaction is related to the number of products being purchased as;

t = 24p + 27

t represents the time required to complete the transaction

p is the product purchased

If it takes 51 seconds to complete a transaction, to get the amount of product purchased, we will substitute t = 51 into the expression and find p as shown;

51 = 24p + 27

Substract 27 from both sides

51-27 = 24p + 27 - 27

24 = 24p

24p= 24

p = 24/24

p = 1

Hence only 1 product is being purchased

what is a bisection ​

Answers

Answer:

this is the intersecting of lines

Answer:

gogel chrome. will answer faster than this app

2074 Set B Q.No. 17 The compound interest on a certain sum at a certain rate is Rs. 204 in 2 years and simple interest at the same rate is Rs. 300 in 3 years. Find the sum and the rate of interest.​

Answers

Answer:

Answer equals 2500 according to the question

Which equations are true for x = –2 and x = 2? Select two options x2 – 4 = 0 x2 = –4 3x2 + 12 = 0 4x2 = 16 2(x – 2)2 = 0

Answers

The correct options are: [tex]x^{2}[/tex] - 4 = 0 and 4[tex]x^{2}[/tex] = 16

What is Linear equation ?

A linear equation is an algebraic equation in which each term is either a constant or a product of a constant and a variable raised to the first power, also called a linear term.

A linear equation can be written in the form of:

y = mx + b

where y is the dependent variable, x is the independent variable, m is the slope or gradient of the line, and b is the y-intercept (the point where the line crosses the y-axis).

The equations that are true for x = -2 and x = 2 are:

[tex]x^{2}[/tex] - 4 = 0, which is true for x = -2 but not for x = 2

4[tex]x^{2}[/tex] = 16, which is true for x = 2 but not for x = -2

Therefore, the correct options are: [tex]x^{2}[/tex] - 4 = 0 and 4[tex]x^{2}[/tex] = 16

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When $0.58 tax was added to the price of a book, the total bill came to $7.05. What was the price of the book?
Step 1 of 2: Describe the above situation as a linear equation, using "x" or "y" as variable names to describe the unknown quantity

Answers

Answer:

Let's use "x" to represent the price of the book before tax.

After the tax is added, the total price becomes:

x + 0.58

We know that the total bill came to $7.05, so we can set up an equation:

x + 0.58 = 7.05

This equation represents the situation described.

Step-by-step explanation:

Answer:

I believe the answer would be $6.47

Step-by-step explanation:

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