suppose a 95% confidence interval was made to estimate the monthly cost of internet service instead of a 90% confidence interval. how would the interval change?

Answers

Answer 1

The 95% confidence interval will be more extensive than the 90% confidence interval

In measurements, the probability that a population boundary will fall between a bunch of values for a specific level of the time is alluded to as a certainty stretch. Investigators every now and again utilize certainty goes that incorporate 95% or the vast majority of expected perceptions. Thus, it could be presumed that there is a 95% probability that the genuine worth falls inside that reach assuming that a point gauge of 10.00 with a 95% certainty time frame - 10.50 is determined utilizing a factual model.

The degree of conviction or vulnerability in a testing cycle is estimated by certainty spans.

Also, they are utilized in relapse examination and speculation testing.

To decide measurable importance, analysts often join certainty spans with p-values.

95% or almost 100% certainty levels are most often utilized in their development.

Related Questions

Math To Do, -Ready
Interactive Practice: Work with Scientific Notati
-) Multiply. Write your answer using scientific notation.
(2 × 10 ) × (3.1 × 10¹⁰) = ||
X ?

Answers

6.2 × [tex]10^{11}[/tex] is the result after multiplying the terms (2 × 10 ) × (3.1 × 10¹⁰).

We are provided with the equation mentioned below:

(2 × 10 ) × (3.1 × 10¹⁰) equation 1

We were asked to multiply the terms mentioned in the above equation using scientific notation. The steps to simplify the above mentioned equation are written below;

(2 × 10 ) × (3.1 × 10¹⁰)

Separately write similar terms first as shown below,

= ( 2 × 3.1 ) × ( [tex]10^{1}[/tex] × [tex]10^{10}[/tex] )

Now multiply the similar terms as written below;

= 6.2 × [tex]10^{(1 + 10)}[/tex]

Add powers of 10, we get

= 6.2 × [tex]10^{11}[/tex]

Thus, the solution of the given equation is 6.2 × [tex]10^{11}[/tex].

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if f(x)=8-5x find f(4-+3)

Answers

The required value of the function at x = 4 and 3 is f(4) = -12 and f(3) = -7.

What are functions?

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given function ,

f(x) = 8 - 5x
put x = 4
f(4) = 8 - 5(4)
f(4) = 8 - 20
f(4) = -12

Again,
put x = 3
f(3) = 8 - 5(3)
f(3) = 8 - 15
f(3) = -7

Thus, the required value of the function at x = 4 and 3 is f(4) = -12 and f(3) = -7.

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Is it possible for consecutive interior angles to be congruent?

Answers

No, It is not possible for consecutive interior angles to be congruent.

If the transversal line crosses the two lines as parallel to one another, the consecutive interior angles are supplementary rather than congruent and add up to 180 degrees.

Parallel internal angles are additional (the consecutive interior angles postulate) External angles that follow each other are supplemental (the consecutive exterior angles theorem) Congruent alternate interior angles (the alternate interior angles theorem)

What are consecutive interior angles?

The pair of non-adjacent internal angles that are located on the same side of the transversal are referred to as consecutive interior angles. The term "consecutive" describes events that take place side by side. On the internal side of a transversal, two consecutive interior angles are situated next to one another.

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Determine which expression is equivalent to the expression 2 over 3 times g minus 5 minus 11 over 15 times g minus the expression one over 5 times g plus 12. 4 over 15 times g plus negative 17 negative 4 over 15 times g plus negative 17 2 over 15 times g plus negative 7 negative 4 over 15 times g plus negative 7

Answers

Answer:

-4/15 - 17

negative 4 over 15 plus negative 17

Step-by-step explanation:

2/3g - 5 - 11/15g - (1/5g +12)

Your wording is extremely confusing but I tried :]

-4/15 - 17

is the correct answer (I think)

The required simplified value of the given expression is -4/15 - 17.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
2 over 3 times g minus 5 minus 11 over 15 times g minus the expression one over 5 times g plus 12 is given as

= 2/3g - 5 - 11/15g - (1/5g +12)

Adding the alike terms,
= 2/3g -11/15g -1/5g -5 -12
= [10 - 11 -3] /15 g - 17
= -4g/15 -17

Thus, the required simplified value of the given expression is -4/15 - 17.

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In a solar system, two comets pass near the sun, which is located at the origin. Comet E is modeled by quantity y plus 16 end quantity squared over 400 plus x squared over 144 equals 1 and Comet H is modeled by quantity y plus 13 end quantity squared over 144 minus x squared over 25 equals 1 comma where all measurements are in astronomical units.

Part A: What are the vertices for the path of Comet E? Show your work. (4 points)

Part B: Which comet travels closer to the sun? Give evidence to support your answer. (5 points)

Part C: What key feature does the sun represent for both comets? Give evidence to support your answer. (6 points)

Answers

The vertices of the path of the comet E are; (-12,0) and (+12,0) as it is moving an elliptical path.

What are the vertices of the path of the comet E?

Comet 'E' is modeled by

((y + 16)²)/400 + (x²)/144 = 1

This is an equation of an ellipse. So, the path traveled by Comet E will be an elliptic path.

Comparing with the equation of ellipse;

((y - k)²)/(b²)+ ((x - h) ²)/(a ²) = 1

whose; Centre is (h,k) and Vertex is (h±a, 0)

On Comparing Centre (h, k), h= 0 and k = -16,

a²=144

a = 12

b²=400

b=20

So, Centre (0, -16),

The Vertex (-12,0) and (+12,0)

So, the vertices of the path of the comet E are; (-12,0) and (+12,0).

Part B: The path of Comet H has been modeled as; a horizontal hyperbola.

Thus, The Comet H travels closer to the sun.

Part C: The sun represents the one of the foci of both the Comet E and Comet H.

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Angel buys cookies and lemons at the store.
He pays a total of $29.80.
He pays a total of $6.25 for the cookies.
• He buys 5 bags of lemons that each cost the same amount.
How much does each bag of lemons cost?

Answers

The cost of each bag of lemons is $4.71

How to calculate the cost of each bag of lemon ?

Let y represent the cost of lemon

Angel pays $29.80 for both the cookies and lemon

He pays a total of $6.25 for the cookies

He buys 5 bags of lemons

The equation can be expressed as

6.25 + 5y= 29.80

collect the like terms

5y= 29.80-6.25

5y= 23.55

divide by the coefficient of y which is 5

y= 23.55/5

y= 4.71

The result of y from the equation is 4.71

Hence each bag of lemon costs $4.71

Answers

If x=lyl with inputs x = 1, x = 2, and x = 3 then y = ±1, y = ±2, and y = ±3.

To solve this problem we have to learn about the modulus operator and absolute value.

What is absolute value?

Absolute value is the distance of a number from zero.

Example: for -12, the distance from 0 is 12. Therefore 12 is the absolute value of -12.

What is the mod operator?

A Mod operator is a mathematical device that converts all types of integers into a positive integer or it finds the absolute value.

Now, we have to find values.

x=lyl Or, 1 = |y| or, we can say the absolute value of y is 1. y may be ±1x=lyl Or, 2 = |y| or, we can say the absolute value of y is 2. y may be ±2x=lyl Or, 3 = |y| or, we can say the absolute value of y is 3. y may be ±3

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a high school has 48 players on the football team. the summary of the players' weights is given in the box plot. approximately, what is the percentage of players weighing greater than or equal to 232 pounds?

Answers

The proportion of players weighing more than or equatable to 220 pounds is 50%.

What is termed as the quartile?The dataset is divided into four groups by dividing the data into three points: lower quartile, midpoint, and upper quartile.The quartiles, along with the data set's minimum and maximum values, divide a collection of observations in to the four sections, each chosen to represent 25% of the observations.

Based on the information provided

There are 48 players in total.

Based on the box plot;

158 pounds is the minimum weight.

Q1 = 185, which represents 25% of the information below 185 pounds.

The second quartile Q2 = 220 pounds, which represents 50% of the information below 220 pounds.

The third quartile (Q3) = 232, representing 75% of the information below 232 pounds.

248 pounds is the maximum weight.

In this case, 220 is the middle number and represents the median.

50% of the information are located on both the left and right sides of the median.

As a result, the proportion of players weighing more than or equatable to 220 pounds is 50%.

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Mrs. Gomez earns $19.50 per hour and gets a 5% raise. Use compatible numbers to estimate her new hourly rate.

Answers

The new hourly rate using compatible numbers is $21.

Given,

The earnings of Mrs. Gomez = $19.50 per hour

She gets a raise of 5%

We have to estimate her new hourly rate by using compatible numbers.

Compatible numbers:

Compatibility in mathematics refers to the mental ease with which a number can be added, subtracted, multiplied, or divided. Compatibility refers to the proximity of the compatible numbers to the real numbers, which facilitates estimation of the solution and simplifies problem-solving.

So,

Compatible number of 19.50 is 20.

The amount raised = 20 × 5/100 = 5/5 = $1

Now, the new hourly rate = 20 + 1 = $21.

That is, the new hourly rate using compatible numbers is $21.

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rearrange the following so g is the main subject:
f+4(g-h)=x

Answers

Answer:

g=x-f+4h/4

Step-by-step explanation:

change of subject of formula

f+4(g-h)=x

f+4g-4h=x

4g-4h=x-f

4g=x-f+4h

g=x-f+4h/4

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Write $5 and $8 in algebra expression

Answers

Answer:

5+8=x

step by step explanation

Simplify to create an equivalent expression 10+4(−8q−4)

Answers

Answer:

-32q-6

Step-by-step explanation:

Please look at the attachment! Hope this helps! ~~

Answer : -0.3125 + q + 0.5

1) Distribute

10 - 32q - 16

2) Divide all terms by -32

-0.3125 + q + 0.5

A restaurant customer left $1.05 as a tip. The tax was 8% and the tip was 15% of the cost including tax.
a. Which information is not needed to compute the bill after tax and tip?
b. What was the total bill?

Answers

well, the bill was actually "x", which oddly enough is the 100%, but we also know that the tip was $1.05 and that's 15% of the whole bill plus tax.

so if we know that 1.05 is 15% of "x", what the dickens is "x"?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 1.05 & 15\\ x& 100 \end{array} \implies \cfrac{1.05}{x}~~=~~\cfrac{15}{100} \\\\\\ 105=15x\implies \cfrac{105}{15}=x\implies 7=x[/tex]

well, as you can see, we know the tax was 8%, but, it doesn't really matter if it had been 25% or who knows, so long we know that 1.05 is 15% of the whole smack.

Draw the graph of each circle given its equation below.

Answers

Step 1:

First, write the general equation of a circle

[tex]\begin{gathered} (x-a)^a+(y-b)^2=r^2 \\ r\text{ is the radius} \\ (a,\text{ b) is the center} \end{gathered}[/tex]

Step 2:

Question 1

[tex]\begin{gathered} x^2+y^2\text{ = 121} \\ x^2+y^2=11^2 \\ \text{radius r = 11} \\ \text{center = (0 , 0)} \end{gathered}[/tex]

Question 2

[tex]\begin{gathered} (x-2)^2+y^2\text{ = 64} \\ (x-2)^2+y^2=8^2 \\ \text{Center = (2, 0)} \\ r\text{ = 8} \end{gathered}[/tex]

Question 3

[tex]\begin{gathered} (x\text{ + }\frac{3}{2})^2\text{ + (y + }\frac{5}{8})^2\text{ = 36} \\ (x\text{ + }\frac{3}{2})^2\text{ + (y + }\frac{5}{8})^2\text{ = }6^2 \\ \text{Center = (-}\frac{3}{2}\text{ , -}\frac{5}{8}) \\ r\text{ = 6} \end{gathered}[/tex]

Question 4

[tex]\begin{gathered} (x-1)^2+(y+7)^2\text{ = 9} \\ (x-1)^2+(y+7)^2\text{ = }3^2 \\ \text{Center = (1, -7)} \\ r\text{ = 3} \end{gathered}[/tex]

Question 5

[tex]\begin{gathered} (x+8)^2+(y-3)^2\text{ = 7} \\ (x+8)^2+(y-3)^2\text{ = (}\sqrt[]{7})^2 \\ \text{Center = (-8, 3)} \\ \text{radius r = }\sqrt[]{7} \end{gathered}[/tex]

Suppose Alex wants to kick a ball over a 10-foot fence. Assuming that gravity has no effect, at what angle would he have to kick the ball if he were standing 6 feet away from the fence?

a.
36.9°
c.
53.1°
b.
59.0°
d.
31.0°

Answers

You would take Alex's distance from the fence, which is 10 feet, and the length of the fence to get the angle.

Finding the angle using the right triangle's trig formulas, sine, cosine, or tangent

neighboring side = 6 feet

obverse side = 10 feet

employ a tangent because

[tex]tan^{-1}\frac{opposite}{adjacent} = tan^{-1}\frac{10}{6} = 59.0[/tex]

About Right triangle's

The formula for a right triangle's area, perimeter, and hypotenuse length are all included in the formula for a right triangle.

In geometry, there are several figure kinds that are distinguished from one another by their unique characteristics. A triangle is one of the shapes they frequently use. A triangle is a closed, three-sided polygonal shape. It has three vertices and three sides that contain the triangle's three interior angles. A triangle's three inner angles always add up to 180 degrees.

Equilateral, isosceles, scalene and right-angled triangles are the most typical triangle types we examine. The right triangle formula, commonly known as the right-angled triangle formulae, will be discussed in this section.

Any interior angle that is 90 degrees in length is said to be in a right triangle. It should be remembered that only one of the three angles may be a right angle because the total interior angle of a triangle is 180 degrees.

Continue reading: Right Angle Triangle

The triangle is referred to as an isosceles right-angled triangle if the other two angles are equal, or 45 degrees each. A scalene right-angled triangle, on the other hand, results from the other two angles being uneven.

Trigonometry is where right-angled triangles are used the most frequently. In reality, trigonometry's foundation is the relationship between its angles and sides.

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Eric orders 3 large cheese pizzas. There is a $2 delivery fee for each pizza. He pays a total of $42. Which equation can be used to find the price, r, of each pizza?

Answers

we have that he paid 4 dollars due the delivery. So each pizza costs

[tex]\frac{38}{2}=19[/tex]

so the equation to find the price r is

[tex]r=\frac{42-4}{2}[/tex]

x = -4z - 19
y= 5x + z - 4
-5y - z = 25

Answers

Answer:

x = 1, y = -4, z = -5

Step-by-step explanation:

Solve the following system:

{x = -4 z - 19 | (equation 1)

{y = z + 5 x - 4 | (equation 2)

{-z - 5 y = 25 | (equation 3)

Express the system in standard form:

{x + 0 y + 4 z = -19 | (equation 1)

{-(5 x) + y - z = -4 | (equation 2)

{0 x - 5 y - z = 25 | (equation 3)

Swap equation 1 with equation 2: