Given the confidence interval formula: b plus or minus t score SE-b a. What is b? b. What is t*? c. What is SEb?

Answers

Answer 1

a) b is the mean of the confidence interval being studied.
b) t* is the critical t-score (from t-tables) defined by the degrees of freedom and the significance level of the confidence interval.
c) SE-b is the standard error of the confidence interval, determined based on the variation from the mean, as well as the sample size.

Related Questions

Explain why the graph shown may be misleading.

Answers

there are 40 compact cars, 4 of 10 each.

there are 30 mid-size, 3 of 10 each.

and there are 20 trucks,

however, in the graph, they all seem to have the same start point and end point, and the mid-size are elongated more than the compacts, and the trucks are much larger than the others above it, almost suggesting the amounts for all are equal somehow for that period.

the amounts must correlate horizontally as they're laid, thus the compacts should be longer than the rest, the mid-size behind it and the trucks half-way of the compacts.

If you don't see the legend, you may think that a truck means more than a compact which, in fact is false. 2 trucks = 20 vehicles, just as 4 compacts = 40 vehicles. Each icon = 10 vehicles no matter what they represent.

A gallon of Moo Milk costs \$5.12$5.12dollar sign, 5, point, 12. What is the price, in dollars, of an 888 ounce glass of Moo Milk? There are 128128128 ounces in 111 gallon.

Answers

The correct statement is:
A gallon of Moo Milk costs $5.12 What is the price, in dollars, of an 8 ounce glass of Moo Milk? There are 128 ounces in 1 gallon.

Solution:
Cost of 1 gallon of Moo Milk = $ 5.12

1 gallon = 128 ounces, so we can write:

Cost of 128 ounces of Moo Milk = $ 5.12

Cost of 1 ounce of Moo Milk = $ 5.12/128 = $ 0.04

Cost of 8 ounces of Moo Milk = $ 0.04 x 8 = $ 0.32

Thus, 8 ounces of Moo Milk will cost $ 0.32

Answer:

0.32

Step-by-step explanation:

The ration of gallons to cost is 1:$5.12

We want to know the ratio of ounce to cost.

We need to convert gallons to ounces.

There are 128 ounces in 1 gallon.

So, if one Moo Milk costs $5.12, then 128 ounces also cost $5.12

The ratio of ounces to cost is 128:$5.12

Now, we can find an equivalent ratio to find the cost for 1 ounce.

Then we can multiply by 8 to find the cost of 8 ounces

Ounces ---------> Cost

128 ------------> 5.12 (Both divided by 128)

1 -------------> 0.04 (Both times 8)

8 ------------> 0.32

An 8 ounce of Moo Milk costs $0.32

What is the trigonometric ratio for cos D?

Answers

Hi there!

The definition of the cosine:
[tex] \cos( \alpha ) = \frac{adjecent}{hypotenuse} [/tex]

When we fill in this formula with the data from the picture, we get the following:
[tex] \cos(d) = \frac{21}{75} = \frac{7}{25} [/tex]

Therefore, the answer is 7 / 25

Calculate the length b to two decimal places A) 890.68 B) 36.99 C) 36 D) 29.84

Answers

the picture in the attached figure
we know that
the law of cosines established that
b² = a² + c² − 2ac cos(B)

in this problem
a=22 units
c=14 units
B=110°

b² = 22² + 14² − 2*22*14*cos(110°)----> b²=890.68------> b=29.84 units

the answer is the option
D) 29.84

A car wash machine cleaned 20 cars in 50 minuets at this rate how many minutes will it take the machine to clean 1 car

Answers

For this case what we should do is define variables:
x: time in minutes
y: number of clean cars
We then have the following equation:
y = (20/50) x
For 1 car we have:
1 = (20/50) x
Clearing x:
x = 50/20
x = 2.5 minutes
Answer:
It will take the machine to clean 1 car about:
x = 2.5 minutes

Final answer:

The machine will take 2.5 minutes to clean 1 car.

Explanation:

To find the number of minutes it will take the machine to clean 1 car, we can use the concept of ratios. If the machine cleaned 20 cars in 50 minutes, we can set up a ratio:

20 cars / 50 minutes = 1 car / x minutes

Using cross-multiplication, we can solve for x:

20x = 50

x = 50 / 20 = 2.5 minutes

Therefore, it will take the machine 2.5 minutes to clean 1 car.

The English Alphabet has 20 letters more than one-fourth the number of letters in the Greek Alphabet. The English Alphabet has 26 letters. Which of the following equations would you use to find the number of letters, g, in the Greek Alphabet?

Answers

English Alphabet = e
Greek Alphabet = g

The English Alphabet has 20 letters more than one-fourth the numbers of letters in the greek alphabet: 1/4g + 20 = e

The English has 26 letters.

Plug in 26 for e

1/4g + 20 = 26

Isolate the g, do the opposite of PEMDAS. Note the equal sign. What you do to one side you do to the other.

Subtract 20 from both sides

1/4g + 20 (-20) = 26 (-20)

1/4g = 26 - 20

1/4g = 4

Multiply 4 to both sides to isolate the g

1/4(4)g = 4(4)

g = 4(4)

g = 16

The Greek Alphabet has 16 letters

hope this helps

Can someone answer this question for me as well.

The equation tan-1 (9.4/8.2) = x can be used to find the measure of angle LKJ. What is the measure of angler LKJ? Round to the nearest whole degree.

*KL = 7.7 cm, LJ = 8.9 cm*

Answers

This is most likely coming from a triangle where angle x has an opposite side of length 9.4, and an adjacent side of length 8.2, giving rise to the equation
tan(x) = 9.4/8.2
x = (tan^-1)(9.4/8.2)
Simplifying gives:
x = (tan^-1)(1.146)
x = 48.9 degrees.
This is approximately equal to 49 degrees.

There are 9 red gum balls, 5 green gum balls, 8 yellow gum balls, and 8 blue gum balls in a machine. find p(green, then yellow).
a. start fraction 40 over 900 end fraction
b. the term shows 5 over 30.
c. the term shows 8 over 30.
d. start fraction 40 over 870 end fraction

Answers

The correct answer is choice D. To find this you will find the probability of each event happening and then multiply them together.

Green: 5/30
Yellow: 8/29 (you subtract one from the denominator because you already picked a green the first time)

5/30 x 8/29 = 40/870

The correct option is d. [tex]$ \frac{40}{870} $[/tex]

To find the probability of selecting a green gum ball followed by a yellow gum ball, we first calculate the total number of gum balls and then determine the number of ways to select a green gum ball followed by a yellow gum ball.

[tex]\text{Total number of gum balls} = 9 (red) + 5 (green) + 8 (yellow) + 8 (blue) = 30[/tex]

Number of ways to select a green gum ball followed by a yellow gum ball:

There are [tex]5[/tex] green gum balls and [tex]8[/tex] yellow gum balls.

Therefore, the number of ways to select a green gum ball followed by a yellow gum ball is [tex]$5 \times 8 = 40$[/tex]

The probability of selecting a green gum ball followed by a yellow gum ball is the number of ways to select them divided by the total number of gum balls:

[tex]\[ P(\text{green, then yellow}) = \frac{40}{30 \times 29} \][/tex]

[tex]\[ P(\text{green, then yellow}) = \frac{40}{870} \][/tex]

During a radio contest, $50 is added to the prize money each time a caller answers the contest question incorrectly. if the first caller has a chance to win $100, which equation finds the amount the 10th caller receives, if the 10th is the first to answer the question correctly?

Answers

To solve this problem you must apply the proccedure shown below:

1. You have that $50 is added to the prize money each time a caller answers the contest question incorrectly and the first caller has a chance to win $100.

2. Therefore, the amount the 10th caller receives, if the this caller answers the question correctly, is:

x: the amount the 10th caller receives.
y: the number of caller

x=100+50(y-1)

As y=10 (the 10th caller), you have:

x=100+50(10-1)
x=100+50(9)
x=100+450
x=$550

Answer:

a is correct on edege

Step-by-step explanation:

The points F(3, 5) and G(0, –4) are the endpoints of the graphed line segment. What are the coordinates of the point P on the line segment such that P is the length of the line segment from G?

Answers

The points F(3, 5) and G(0, –4) are the endpoints of the graphed line segment. Hence the required coordinate point is (9/4, 11/4).

What is the coordinate of the point which divides a line segment in a specified ratio?

Suppose that there is a line segment [tex]\overline{AB}[/tex] such that a point P(x,y) lying on that line segment [tex]\overline{AB}[/tex] divides the line segment [tex]\overline{AB}[/tex] in m:n, then, the coordinates of the point P is given by:

[tex](x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)[/tex]

where we have:

the coordinate of A is[tex](x_1, y_1)[/tex]

and the coordinate of B is [tex](x_2, y_2)[/tex]

The coordinate point between two points P and G divided between ratios a and b is expressed as;

[tex](x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)[/tex]

Given the coordinate points F(3, 5) and G(0, –4) divided within the ratio 1:3

[tex](x,y) = \left( \dfrac{mx_2 + nx_1}{m+n} , \dfrac{my_2 + ny_1}{m+n} \right)\\\\(x,y) = \left( \dfrac{1(0) + 3(3)}{1+3} , \dfrac{1(-4)+ 3(5)}{1+3} \right)\\\\(x,y) = \left( \dfrac{9}{4} , \dfrac{11}{4} \right)[/tex]

Hence the required coordinate point is (9/4, 11/4).

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12 POINTS
Simplify i38.
i
−1
−i
1

Answers

Are you sure you've copied down the original problem exactly as given? i38 = 38i can't be simplified. Perhaps you meant i^38, which is a different matter.

Note that i^38 = i^32 * I^4 * I^2.

Note that i^0, i^4, i^8, etc., all equal 1. Therefore,

i^38 = (1)(1)i^2 = 1*(-1) = -1 (answer)

Answer:

-1

Step-by-step explanation:

I got this correct on my quiz

i^38 = -1

Assuming a truck container holds 24 cases, how many cases would 6 truck containers hold?

Answers

If you multiply 6 by 24 for you get 144 containers.
6 truck will hold 144 containers in total

A hyperbola centered at the origin has a vertex at (9, 0) and a focus at (−15, 0).
Which are the equations of the asymptotes?

Answers

Hyperbola equation opening horizontally:
[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]
Asymptotes:
[tex]y = \pm \frac{b}{a} x[/tex]

'a' is distance vertex is from center --> a = 9
'c' is distance focus is from center --> c = 15
[tex]a^2 + b^2 = c^2 \\ \\ b^2 = 15^2 - 9^2 = 144 \\ \\ b = 12[/tex]

Asymptotes are:
[tex]y = \pm \frac{12}{9} x = \pm \frac{4}{3} x[/tex]

Answer:

Step-by-step explanation:

In which type of quadrilateral are consecutive sides congruent?
Select the best answer from the choices provided.
trapezoid
parallelogram
square
rectangle

Answers

Final answer:

A square is the quadrilateral with congruent consecutive sides. It is an equilateral rectangle and a special type of parallelogram with equal-length sides and right angles.

Explanation:

The type of quadrilateral in which consecutive sides are congruent is a square. A square is a special type of parallelogram where all sides are equal in length and all angles are right angles. When considering a square as a rectangle (which technically it is), its diagonals (which are equal in length) bisect one another at right angles, suggesting the property of being an equilateral rectangle. Furthermore, in a larger context, if we treat the sides of any parallelogram symmetrically, such as in a notation [PQRS], the order can change to [QRSP], [QPSR], and [PRQS] without affecting its properties, which aligns with the symmetric nature of a square's sides.

please verify my probability answer!!!

Answers

The probability that the first student likes to play soccer:[tex]P(A)=\dfrac{10}{25}=\dfrac{2}{5}[/tex]
The probability that the second student likes to play baseball:[tex]P(B)=\dfrac{15}{24}=\dfrac{5}{8}[/tex]
Together:
[tex]P(A)\cdot P(B)=\dfrac{2}{5}\cdot\dfrac{5}{8}=\dfrac{1}{4}[/tex]

Answer:

1/4

Step-by-step explanation:

Hope this helped :)

dy/dx = y/x^2

dy/y = dx/x^2

ln y * ln c = -1/x

cy = e^(-1/x)

y = ce^(-1/x)

Answers

dy/dx = y/(x^2)
dy/y = dx/(x^2)
int[dy/y] = int[dx/(x^2)] ... apply integral to both sides
ln(|y|) = (-1/x) + C
|y| = e^{(-1/x) + C}
|y| = e^C*e^(-1/x)
|y| = C*e^(-1/x)
y = C*e^(-1/x)

So you have the correct answer. Nice job.

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

Check:
y = C*e^(-1/x)
dy/dx = d/dx[C*e^(-1/x)]
dy/dx = d/dx[-1/x]*C*e^(-1/x)
dy/dx = (1/(x^2))*C*e^(-1/x)
is the expression for the left hand side (LHS)

y/(x^2) = [C*e^(-1/x)]/(x^2)
y/(x^2) = (1/(x^2))*C*e^(-1/x)
is the expression for the right hand side (RHS)

Since LHS = RHS, this confirms the solution for dy/dx = y/(x^2)

What is the area of a square

Answers

The area of a square is found by multiplying length and width, (which just so happen to be the same number) and the unit of measurement and put the power of 2 at the end (^2).
For example, if a square's length is 4cm, then you can assume the width is going to be 4cm. Finding area, you multiply 4 and 4 to get 16, and the unit of measurement (cm) and square it (^2). Thus meaning this answer would be 16cm^2.

I hope this helps!

the supplement of angle t is 4 times the measure of angle t

Answers

supplementary angles need to equal 180 degrees
one angle = t
the other angle = 4 x t or 4t
so we now have t + 4t = 180

4 + 4t = 5t

so we have 5t = 180

divide both sides by 5:
t = 180 /5
t = 36
so angle t = 36 degrees

the other angle = 4 x 36 = 144 degrees

Factor the trinomial below.

6x2 – 9x – 6

A. 3(2x + 1)(x – 6)
B. 3(2x + 2)(x – 1)
C. 3(2x + 1)(x – 2)
D. 3(2x + 6)(x – 1)

Answers

For this case we have the following trinomial:
6x2 - 9x - 6
Rewriting we have:
3 (2x2 - 3x - 2)
Factoring we have:
3 (2x + 1) (x-2)
Answer:
The factored expression for this case is given by:
C. 3 (2x + 1) (x - 2)

Answer:

C. 3(2x+1)(x-2)

Step-by-step explanation:

To factor the trinomial 6x² - 9x -6, we will follow the steps below;

First, 3 is common among the three numbers, so we will start by factoring out 3, so that the expression becomes;

3(2x² - 3x - 2)

We will now proceed to factorize; 2x² - 3x - 2

Find two numbers such that its product gives -4 and its sum gives -3.

Such number is -4 and 1

-4 × 1 = -4

-4 + 1 = -3

We will replace -3x by -4x + x in the above expression

2x² - 4x + x - 2

(2x² - 4x) (+x - 2)

In the first parenthesis, 2x is common, so we will factor out 2x while in the second parenthesis 1 is common, so we will factor out 1. Hence;

2x(x - 2) + 1(x-2)

(2x+1)(x-2)

3(2x² - 3x - 2) = 3(2x+1)(x-2)

6x² – 9x – 6 = 3(2x+1)(x-2)

Therefore the factorized form of 6x² – 9x – 6 is 3(2x+1)(x-2)

what equations is equivalent to y = log x

Answers

"log" standing alone actually means "logarithm to the base 10."

Thus, y = log x <=> y = log x
10
y
Stated another way (inverse functions), x = 10

$2,400 principal earning 2%, compounded annually, after 7 years

Answers

equation i think is 2,400(1+[\[tex] \frac{2}{100} [/tex])nt

so i think the answer is 14 lol i could be wrong i did this so long ago...

Answer:

The answer is 2,765.85 dollars. Thanks.

Step-by-step explanation:

A square can be changed into a rectangle by increasing the length of the square by 5 units and increasing the width by 3 units. which expression represents the area of the rectangle in square units?

Answers

Final answer:

The area of the rectangle that was transformed from a square by increasing the length by 5 units and the width by 3 units is given by the expression (a + 5)(a + 3), or when expanded a² + 8a + 15.

Explanation:

Given that the original shape was a square, the length and width of the square are the same. Let's denote this common length as 'a'. When transformed into a rectangle, the length was increased by 5 units and the width increased by 3 units. Therefore, the new length and width of the rectangle are 'a + 5' and 'a + 3' respectively.

The area of a rectangle is calculated by multiplying its length by its width. Therefore, the area of the rectangle in square units is represented by the expression (a + 5)(a + 3), which when expanded gives a² + 8a + 15.

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Final answer:

The area of a new rectangle formed from a square by increasing the length by 5 units and the width by 3 units is represented by the mathematical expression (side+5) * (side+3) in square units. This equation stems from the basic geometric formula of calculating the area by multiplying the length by the width.

Explanation:

The area of a shape, such as a square or rectangle, is calculated by multiplying its length by its width. In the case of a square, where all sides are equal, the formula for area can be represented as side² or side * side. If we know the side of the square, and it is increased in length by 5 units and width by 3 units, we are essentially creating a rectangle now. The formula for the rectangle area changes to (side+5) * (side+3). So, if you have a square and you increase the length by 5 units and the width by 3 units, the expression that represents the area of the new rectangle in square units would be (side+5) * (side+3). For example, if side of the square was 5 units originally, upon modification, length of rectangle will be [tex]5+5 = 10[/tex] and width will be [tex]5+3 = 8[/tex]. So, area of rectangle becomes [tex]10*8 = 80[/tex] square units.

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How many terms are in the arithmetic sequence 6, 2, −2, …, −102?

Hint: an = a1 + d(n − 1), where a1 is the first term and d is the common difference

27
28
29
30

Answers

The number of sequence in the arithmetic sequence given by:
6, 2, −2, …, −102
will evaluated as follows:
the explicit formula is:
an=a1+d(n-1)
a1=first term
d=common difference
n=number of terms
thus from the question:
a1=6
d=2-6=-4
an=-102
plugging the values in the expression we get:
-102=6-4(n-1)
solving for n we shall have:
-102-6=-4(n-1)
-108=-4(n-1)
27=n-1
thus
n=27+1
n=28

Answer: 28 terms

Final answer:

Calculate the number of terms in the arithmetic sequence 6, 2, -2, ..., -102 using the provided formula to find it is 28.

Explanation:

In mathematics, an Arithmetic Progression (AP) is a sequence of numbers in which the difference between consecutive terms is constant. This difference is called the common difference, denoted by d.

Arithmetic sequence: 6, 2, -2, ..., -102

Formula: an = a1 + d(n - 1)

Identify a1 = 6 and an = -102Calculate d = an - a1 = -102 - 6 = -108Substitute the values into the formula and solve for n to find the number of terms

Therefore, the number of terms in the arithmetic sequence is 28.

What does a residual value of 1.3 mean when referring to the line of best fit of data set?
-a data point is 1.3 units above the line of best fit
-a data point is 1.3 units below the line of best fit
-the line of best fit has a slope of -1.3
-the line of best fit has a slope of 1.3

Answers

The answer will be A. good luck :)

A residual value of 1.3, when referring to the line of best fit of a data set, means that,

⇒ a data point is 1.3 units above the line of best fit.

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

To find a residual value of 1.3 mean when referring to the line of best fit of data set.

Since, A residual is defined as the difference between the observed value of a dependent variable and the predicted value of that variable using the regression equation.

Hence, In this case, the residual value of 1.3 indicates that the observed value of the dependent variable is 1.3 units above the predicted value, or the line of best fit.

Thus,

A residual value of 1.3, when referring to the line of best fit of a data set, means that,

⇒ a data point is 1.3 units above the line of best fit.

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Harry needs to paint a cereal box for a school project. What measure should he use to find the total amount of paint he needs to cover the cereal box with paint? area lateral area surface area volume.

1. area
2. lateral area
3. surface area
4. volume

Answers

For this case, the first thing we should do is observe that Harry needs to paint the entire box.
Therefore, he must paint:
Base and roof.
Left and right side.
Front and back side.
The measure you need to know therefore is:
Surface area of the box.
Answer:
He should use to find the total amount of paint I need to cover the cereal box with paint:
3. surface area

Answer: C

Step-by-step explanation:

Bricklayers use the formula N = 7LH to estimate the number of bricks N needed to build a wall of height H and length L. What is the height of a wall that is 30 feet long and that requires 2,310 bricks to build? a. 12 ft c. 11 ft b. 10 ft d. 20 ft

Answers

For this case we have the following equation:
N = 7LH
Clearing H we have:
H = N / (7L)
Substituting the values we have:
H = 2310 / (7 (30))
Rewriting we have:
H = 2310/210
H = 11 feet
Answer:
the height of a wall that is 30 feet long and that requires 2,310 bricks to build is:
c. 11 ft

Carla sells hot coffee, cider and tea from a sidewalk cart near wall street in new york city. last month she sold $4,500 worth of product to 1,000 customers. she spent $800 on buying her beverages in bulk. her monthly costs are: utilities = $100, salary = $2,000, advertising = $0, insurance = $0, interest = $0, rent (cart) = $600, depreciation = $0. what are carla's fixed costs?

Answers

Carla's fixed cot will be given by:
Cost=(cost of beverages)+(salaries)+(utilities)+(rent)
cost=800+2000+100+600
cost=$3500
Thus the total fixed cost was $3500

It is 3500

PLease dont answer if you dont know...
Use the Law of Sines to find side "b" of the triangle.

Answers

Using the law of sins:

side a / sin (angle A) = side b / sin(Angle B)

Side a is opposite angle A, so from the picture we know side a = 50, angle A is 58 degrees and angle B is 48 degrees.

replace those values in the formula we get:

50 / sin(58) = b/ sin(48)

so now we can cross multiply the 2 fractions to get:

50 * sin(48) = b*sin(58)

to get b by itself, divide both sides by sin(58) to get:

b = (50*sin(48)) / sin(58)

b = 43.82

You may need to round the answer as needed.

Which equation in point-slope form contains the points (6, 2) and (2, 4)? A -4=-1/2(x-6) B y – 4 = –2(x – 2) C y-2=-1/2(x-6)

Answers

Hello!

The equation for point-slope form is

y - b = m(x - a)

m is the slope
(a, b) is a point the line passes through

We are looking for a equation that follows this

The answer is C because a point the line goes through is (6, 2)

The answer is C

Hope this helps!

I think that it is Y-2= -1/2 (x-6)

The circumference of a roll of party streamers is 9 inches. The circumference decreases by 2 inches after you use the streamers to decorate for a graduation party. Find the diameter of the roll after the decrease. Round your answer to the nearest hundredth.

Answers

For that case the new circumference is:
C = 9 - 2
C = 7 inches
By definition, the circumference is:
C = 2 * pi * r
Where,
r: radio
Substituting values:
7 = 2 * pi * r
Clearing the radio:
r = 7 / (2 * pi)
Then, the diameter is:
d = 2 * r
Substituting:
d = 2 * (7 / (2 * pi))
d = 2.228169203
Round to the hundredth:
d = 2.23 inches
Answer:
The diameter of the roll after the decrease is:
d = 2.23 inches

The diameter of the roll of streamers after the circumference decreases to 7 inches is approximately 2.23 inches.

To find the diameter after the circumference decreases, we can use the formula for the circumference of a circle, which is C = πd, where C is the circumference and d is the diameter.

Initial circumference, C₁ = 9 inches.After using some streamers, the new circumference, C₂ = 9 inches - 2 inches = 7 inches.Using the formula C₂ = πd₂, we solve for d₂:
d₂ = C₂ / π
d₂ = 7 / ππ (pi) approximately equals 3.14159.
So, d₂ = 7 / 3.14159 ≈ 2.23 inches.

Therefore, the diameter after the decrease is approximately 2.23 inches.

Other Questions

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