At a grocery store, you want to buy 4 1/10 lb of cheese. What decimal should the digital scale show?

The margin of error of the 98.4% confidence interval for snapdragons  is 3.71.

The midpoint of the range is calculated by adding the upper and lower bounds and then dividing by two. So, the sample mean is `(20.91 + 38.43) / 2 = 29.67`.

The margin of error is calculated by multiplying the critical value of z* (1.96 for a 98.4% confidence level) by the standard error of the mean. The formula for calculating the margin of error is:

`Margin of error z*(standard deviation/√n`).

The formula is `range/4 = 1.96 * standard deviation/√n`.Now, solve for the standard deviation:

`standard deviation = (range/4) * √n / 1.96`

Substituting the values: `(38.43 - 20.91)/4 = 1.96 * standard deviation/√n`

Simplifying the equation: `4.26 = (1.96*standard deviation)/√n`

Squaring both sides: `4.26^2 = 3.8416 = (1.96^2 * standard deviation^2)/n`

Substituting the value of the standard deviation: `3.8416 = (1.96^2 * ((38.43 - 20.91)/4)^2) / n`

Solving for n: `n = ((1.96^2 * ((38.43 - 20.91)/4)^2) / 3.8416) = 31.54`

Now that we know the sample size, we can calculate the standard error of the mean:

`standard error = standard deviation/√n = ((38.43 - 20.91)/4)/√31.54 = 1.89`.

The margin of error is `1.96 * 1.89 = 3.71`.

The 98.4% confidence interval for snapdragons grown in compost is (20.91, 38.43). The margin of error of this confidence interval is 3.71.

Know more about error here:

https://brainly.com/question/28771966

#SPJ11

Hello!

1/6 of x = 3

1/6 * x = 3

1/6x = 3

x/6 = 3

x/6 * 6 = 3 * 6

x = 18

Check the picture below.

Deli needs 7n + 5 slices of bread to make this order.

Given:

Thus, total number of bread slices required for n people = n(3 + 2 + 2) + 5 (if only 1 Dagwood sandwich is required) = 7n + 5.

To learn more about basic arithmetic operations, refer to the link:https://brainly.com/question/4721701

#SPJ4

Answer:

Thx for the free points! Have a great day

Step-by-step explanation:

The probability that both candies are of same color is 0.22

Probability:

                Probability means possibility.The value is expressed from zero to one.In other words probability is simply how likely something is to happen.

The distribution of colors of candies in a bag is as follows.

    Brown      0.1

    Red         0.3

   Yellow      0.2

   Green      0.2

   Orange    0.2

The probability for both candies are Orange.

                = 0.2 x 0.2

                = 0.04

The probability for both candies are Brown.

               =  0.1 x  0.1

               = 0.01

The probability for both candies are Yellow.

               = 0.2 x 0.2

               = 0.04

The probability for both candies are Green.

              = 0.2 x 0.2

              = 0.04

The probability for both candies are Red.

             = 0.3 x 0.3

             = 0.09

Now,

       The total probability  that they are the same color

                    = 0.04 + 0.01 + 0.04 + 0.04 + 0.09

                    = 0.22

To learn more about Probability visit:

https://brainly.com/question/11234923

#SPJ4

Answer:

Step-by-step explanation:

I hope this answer would help

Using linear functions, the costs are given as follows:

For 4 hours, the difference is costs between the company that charges the most and the one that charges the least is of $15.

A linear function is modeled by:

y = mx + b

In which:

For Company A, we have two points on the column: (2, 33), (3, 49). Hence for one additional hour, the cost increased by $16, hence the slope is of 16 and:

A(x) = 16x + b.

When x = 2, A(x) = 33, hence we use it to find b as follows:

33 = 16(2) + b

b = 1.

Hence:

A(x) = 16x + 1.

Companies B and C have intercepts of 0, while the slopes are hourly costs, hence:

For 4 hours, the costs are given as follows:

The difference is:

72 - 57 = 15.

For 4 hours, the difference is costs between the company that charges the most and the one that charges the least is of $15.

More can be learned about linear functions at https://brainly.com/question/24808124

#SPJ1

Answer: A

Step-by-step explanation:

12.03% is the approximate amount rate of return earned.

We can use the formula for the future value of an annuity to solve this problem. The formula is:

FV = P * ((1 + r)^n - 1) / r

where FV is the future value of the annuity, P is the payment (in this case, $250), r is the annual interest rate, and n is the number of years.

Using the information given in the problem, we know that:

P = $250

n = 5

FV = $1,750

Substituting these values into the formula, we get:

$1,750 = $250 * ((1 + r)^5 - 1) / r

Multiplying both sides by r and dividing both sides by $250, we get:

7 = ((1 + r)^5 - 1) / r

Multiplying both sides by r, we get:

7r = (1 + r)^5 - 1

Expanding the right side using the binomial theorem, we get:

7r = 1 + 5r + 10r^2 + 10r^3 + 5r^4 + r^5 - 1

Simplifying and rearranging, we get:

r^5 + 5r^4 + 10r^3 + 10r^2 - 7r = 0

We can solve this equation numerically using a calculator or a computer. One way to do this is to use the Newton-Raphson method, which is an iterative method that starts with an initial guess and refines it until it converges to a solution. Using this method with an initial guess of r = 0.1, we get:

r ≈ 0.1203

So the annual interest rate that you earned on the account is approximately 12.03%.

Learn more on future value here: https://brainly.com/question/24703884

#SPJ1

Answer:

Step-by-step explanation:

We can use trigonometry to solve this problem. Let's draw a right triangle to represent the situation:

        |\

        | \

   h    |  \   9 ft

        |   \

        |    \

        |     \

        -------

        6 ft

Here, h represents the height on the wall where the ladder touches. We want to find the angle of elevation θ.

Using the right triangle, we can write:

sin(θ) = h / 9

cos(θ) = 6 / 9 = 2 / 3

We can solve for h using the Pythagorean theorem:

h^2 + 6^2 = 9^2

h^2 = 9^2 - 6^2

h = √(9^2 - 6^2)

h = √45

h = 3√5

So, sin(θ) = 3√5 / 9 = √5 / 3. We can solve for θ by taking the inverse sine:

θ = sin^-1(√5 / 3)

θ ≈ 37.5 degrees

Therefore, to the nearest tenth of a degree, the angle of elevation the ladder makes with the ground is 37.5 degrees.

The ratio of the numerical value of the area of an equilateral triangle of side length 8 units to the numerical value of its perimeter is  8/√3 .

What is equilateral triangle?

An equilateral triangle is a triangle with all three sides of equal length a, corresponding to what could also be known as a "regular" triangle.

Given : side = 8 units

The area of the equilateral triangle with a side of 8 units is given by :

The formula to find area of equilateral triangle is given by:

A = (√3/4)a2, where a is the length of side of equilateral triangle.

(1/2)* 8^2* [√3]/ 2  = 64√3

To find the perimeter of an equilateral triangle, its side length should be known. Since all the sides of an equilateral triangle are equal in length, the perimeter can be easily calculated with the length of one of its sides. This value can be substituted in the formula for the perimeter of an equilateral triangle, P = 3 × a; where 'a' is the side length of the triangle.

The perimeter is 3 * 8   =  24

So the ratio is:

64√3 / 24 =   [8√3] / 3 = 8/√3

Hence , the ratio of the numerical value of the area of an equilateral triangle of side length 8 units to the numerical value of its perimeter is  8/√3 .

Learn more about equilateral triangle at:

https://brainly.com/question/17264112

#SPJ1

The volume of a box is:

So for our problem will be:

Answer:

a.

\(f(t) = 21000( {.918}^{t} )\)

b.

\(f(4) = 21000( {.918}^{4}) = 14913.86\)

Answer:

13

Step-by-step explanation:

25 - 12 = 13

Answer:

okay i will gladly

L = 1.3245 is  the legnths of the pen's sides .

What is area and perimeter?

Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.

The equation for perimeter is 2L + W = 30 ( I'm assuming that the shed takes up one of the Widths, but you can use the Length if you want, it doesn't matter.)

So W = 30 - 2L.

Area = L x W = L (30 - 2L) = 30L - 2L^2.

This is a quadratic equation, easily graphed as a parabola, with a maximum point at L = 1.3245 .

Learn more about perimeter

brainly.com/question/11957651

#SPJ4

Answer:

Step-by-step explanation:

Send the question to this email never mind not sure sorry24

9514 1404 393

Answer:

  y = -3/4x -1

Step-by-step explanation:

The given equation is in the slope-intercept form, which lets you see that its slope is 4/3.

The slope of the perpendicular line will be the negative reciprocal of this:

  -3/4

Then the slope-intercept form equation will be ...

  y = -3/4x +b . . . . . . for some b

We can find the value of b that makes the line go through (4, -4) by using those values in this equation.

  -4 = -3/4(4) +b

  -4 +3 = b . . . . . . . . add 3

  -1 = b

Then the equation you're looking for is ...

  y = -3/4x -1

Answer:

for the first answer your answer was correct, it was the second answer that was wrong. So the first answer is 2 3/4. The second answer would be 81 centimeters because it grew that much.

Step-by-step explanation:

To find the first answer add the starting height and ending height. To find how much it grew convert the total ending height of the tree to cm by multiply by 100, so 275. Then subtract 356 by 275 because you are finding out how much it grew. Take away 275 from 356 and you get 81

Using  both and levels of significance and the critical value, we can conclude that the percentage of spam emails sent by the huge firm is different from the percentage in a recent month.

The population proportion of spam emails in a recent month is p = 0.718.

A random sample of emails from a large corporation has a sample proportion of spam emails, p'= 0.645.

We want to test the hypothesis that the population proportion of spam emails in the large corporation is different from p = 0.718.

We will use both 0.05 and 0.01 levels of significance and the critical value method.

To test this hypothesis using the critical value method, we can follow these steps:

The null hypothesis is that the population proportion of spam emails in the large corporation is equal to 0.718:

H0: p = 0.718

The alternative hypothesis is that the population proportion of spam emails in the large corporation is different from 0.718:

Ha: p ≠ 0.718

We will use both 0.05 and 0.01 levels of significance. Since we have a large sample (np > 10 and n(1-p) > 10), we can use the z-test for proportions. The test statistic is calculated as:

z = ( p' - p) / sqrt(p(1-p)/n)

where n is the sample size.

Using a standard normal distribution table, the critical values for a two-tailed test at the 0.05 and 0.01 levels of significance are:

At the 0.05 level: ±1.96

At the 0.01 level: ±2.58

Step 4: Calculate the test statistic and p-value.

Using the formula for the test statistic and the given values, we get:

z = (0.645 - 0.718) / sqrt(0.718(1-0.718)/n)

Since we don't know the population standard deviation, we use the standard error estimated from the sample:

z = (0.645 - 0.718) / sqrt(0.718(1-0.718)/n) = -2.546 / sqrt(0.718(1-0.718)/n)

Using n = 1000 (a reasonable sample size for an email server), we get:

z = -2.546 / sqrt(0.718(1-0.718)/1000) = -9.386

The corresponding p-value for this test statistic is very small (less than 0.0001), indicating strong evidence against the null hypothesis.

At the 0.05 level of significance, the critical value is ±1.96, which does not include the calculated test statistic of -9.386. Therefore, we reject the null hypothesis and conclude that the population proportion of spam emails in the large corporation is different from 0.718.

At the 0.01 level of significance, the critical value is ±2.58, which also does not include the calculated test statistic of -9.386. Therefore, we reject the null hypothesis at this level of significance as well.

In conclusion, we have strong evidence to suggest that the proportion of spam emails in the large corporation is different from the proportion in a recent month (0.718).

Learn more about hypothesis at https://brainly.com/question/24215154

#SPJ11

Answer:

Question 3 is- B. 8 ounces

Step-by-step explanation:

From the given bar graph, the average number of students who are afraid of spider and snakes is of 15.

A bar graph shows the absolute frequency of each observation in the data-set, that is, the number of times that each variable is observed.

Hence, in the context of this problem, from the bar graph on the image, the number of students that are afraid of each thing are:

The average between two values is given by the sum of the two values divided by two.

Hence, the average number of students who are afraid of spiders and snakes is calculated as follows:

M = (18 + 12)/2 = 30/2 = 15.

The bar graph is missing and is given by the image at the end of the answer.

More can be learned about bar graphs at https://brainly.com/question/24741444

#SPJ1

Answer:

15

Step-by-step explanation:

got it right on quiz

Answer:

a=5

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

130/15=8 and remainder 10

theres no options to choose from, but in order to solve any equation like that, heres a tip!!

if youre adding a negative number, all youre really doing is subtracting a number. if you're subtracting a negative, you're just adding the number!!

let me know if you have any other questions!! hope this helps you!! <3

The matched answers are:

1. semicircle

2. central angle

3. Radius

4. Secant

5. center

6. tangent

7. diameter

8. minor arc

9. chord

10. major arc

A circle is the locus of points equidistant from a given point called the center of the circle.

A circle can be described if its radius and the center of the circle is known.

Analysis:

1. RCH  is called a semicircle when a diameter divides a circle into two equal parts, a part is called the semicircle.

2. ∠RAH is the central angle, because it is the angle subtended at the Center of the circle.

3. CA is the radius of the circle, a line drawn from the center to any point on the circumference of the circle.

4. MR is a secant, a line that cuts the circle into two parts.

5. A is the center of the circle.

6. MT is the tangent, because line MT touches the circle at a point T.

7. CH is the diameter of the circle, a line that divides the circle into two semi circles.

8. CT is the minor arc, the curved line that is found in the smaller part of the divided circle.

9. HT is chord, it is a line that divides the circle into two unequal parts.

10. CRH is  major arc, the curved line of the bigger portion of the divided circle.

Learn more about properties of circle: brainly.com/question/4244936

#SPJ1

The slope and y-intercept of the linear function graphed include the following:

slope = -1/2.

y-intercept = 1.

In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical expression;

y = mx + c

Where:

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Slope (m) = (0 - 1)/(0 - 2)

Slope (m) = -1/2

For the y-intercept, we have:

y-intercept = 1.

Read more on slope-intercept here: brainly.com/question/4074155

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.