Company A is trying to sell its website to Company B. As part of the sale, Company A claims that the average user of their site stays on the site for 10 minutes. Company B is concerned that the mean time is significantly less than 10 minutes. Company B collects the times (in minutes) below for a sample of 19 users. Assume normality.
Time: 1.2, 2.8, 1.5, 19.3, 2.4, 0.7, 2.2, 0.7, 18.8, 6.1, 6, 1.7, 29.1, 2.6, 0.2, 10.2, 5.1, 0.9, 8.2
Conduct the appropriate hypothesis test for Company B using a 0.08 level of significance.
a) What is the critical value for the test? Give your answer to four decimals.
b) What is the appropriate conclusion?
A. Reject the claim that the mean time is 10 minutes because the test statistic is larger than the critical point.
B. Fail to reject the claim that the mean time is 10 minutes because the test statistic is larger than the critical point.
C. Reject the claim that the mean time is 10 minutes because the test statistic is smaller than the critical point.
D. Fail to reject the claim that the mean time is 10 minutes because the test statistic is smaller than the critical point.

Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

Answer:

Q. Equal

Step-by-step explanation:

"The same" means equal. Its kind of like equations.

1 is equal to 1 they are the same number

answer: Equal

Step-by-step explanation: being the same in quantity, size, degree, or value.

Answer:

8.1875

Step-by-step explanation:

\( log_{a}( {b})^{c} = c \times log_{a}(b) \)

_____________________________________________

\( log_{2}( {6})^{x} = x \times log_{2}(6) \)

Thus the last option is the correct answer.

Answer:

Step-by-step explanation:

Cube

Answer: the answer is cube

Answer:

116.32100

Step-by-step explanation:

the answer is :

3n^9 units

Based on the information we can infer that the equation shown in the image is 1.23 - 0.35 = 0.88 (option B).

To identify the correct equation we must look at the graph and identify the information it provides. In this case we have two squares divided into 100 squares each. Additionally, the square on the left has 88 squares painted in red and 12 squares with an X inside. In the case of the square on the right, it has 23 squares colored in red with an X inside.

In total we have 123 squares painted in red, which in decimal number is equivalent to 1.23. On the other hand, the number of squares painted red and with an X inside is 35, this value would be 0.35.

On the other hand, the squares painted only in red are 88, so the equivalent in decimal numbers would be 0.88. Therefore, the correct way to express this relationship through an equation would be:

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Herb spent 55 hours at the library.

Fractions defines a part of a whole and are represented as a numerical value. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Total time spent in the Library = 1/6 + 1/4 + 1/2

Total time spent = 11/12 x 60 mins

Total time spent = 55 hours

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The given triangle is a right angled triangle, therefore the rules of basic Trigonometry can be used here to find the solution.

\(\qquad\displaystyle \tt \dashrightarrow \: \sin(45 \degree) = \frac{opposite \:\: side}{hypotenuse} \)

[ sin 45° = 1/√2 ]

\(\qquad\displaystyle \tt \dashrightarrow \: \frac{1}{ \sqrt{2} } = \frac{b}{x} \)

\(\qquad\displaystyle \tt \dashrightarrow \: x = b \sqrt{2} \: \: cm\)

So, the side HG is b√2 cm long

a) The first mistake that Fatima made was in the first step.

b) She incorrectly changed the place value of 0.02 in the subtraction operation.

c) Based on the correct subtraction operation and place value in step one, Fatima has 0.395 kilograms of rose petals left.

The place value shows the position of a digit in a number.

The right place values are essential for correct mathematical operations.

The quantity of rose petals that Fatima bought initially = 0.454 kilograms

The quantity of rose petals used for making rose water = 0.02 kilograms

The remaining quantity of rose petals = 0.434 (0.454 - 0.02)

The additional quantity of rose petals Fatima bought = 0.056

The quantity of rose petals used for making the second rose water = 0.095

The quantity of rose petals left = 0.395 (0.434 + 0.056 - 0.095)

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The range of the function, given the graph of a relation, can be found to be −2 ≤ y ≤ 7 .

Graphs can be used to determine a function's domain and range. The domain of a graph is made up of all the input values displayed on the x-axis since the term "domain" refers to the set of potential input values. The y-axis on a graph represents the possible output values, or range.

The range here would therefore be the y - values that the relations fall within. The lowest y - value is - 2 as no relation goes below this. The highest y - value is 7.

The range is therefore -2 ≤ y ≤ 7.

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Answer:

91%

Step-by-step explanation:

Answer:

91%

Step-by-step explanation:

Count the white blocks: 9

and subtract them from the blue blocks: 100 - 9 = 91%

Answer:

D

Step-by-step explanation:

40 is in the same place for B and C, 83 is in the same place for A and C, and 57 is in the same place for A and B.

Triangle D is not similar to the other  three triangle.

Similar triangle may have different sizes but the shape. In similar triangles, corresponding sides are always in the same ratio. The corresponding angles are congruent.

Therefore, triangle A, B and C are similar triangle because the corresponding angles are equal. The angles are 40°, 83° and 57°.

The  last triangle D has a different angles sizes which are 40°, 67° and 73°.

Therefore, triangle D is not similar to the other  three triangle.

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This circumstance may happen if one of the RHS coefficients is 0. The objective value and solution remain the same in this situation, but there are still variables. Degeneracy describes this condition.

The energy levels in a three-dimensional box are provided by the formula E = (h2/8m) [(n x2/a2) + (n y2/b2) + (n z2/c2)].

where n x, n y, and n z are the quantum numbers for the x, y, and z dimensions, respectively, and h is Planck's constant, m is the particle'smass, a, b, and c are the dimensions of the box.

The amount of various quantum number combinations that result in the same energy is the degeneracy of an energy level.

The degeneracies of the first four energy levels for a three-dimensional box with a=b=1.5c are as follows:

1 degeneracy at first energy level (n=1)

Third degeneracy at second energy level (n=2)

6 degeneracies at third energy level (n=3)

10 degeneracies at energy level four (n = 4)

Hence, This circumstance may happen if one of the RHS coefficients is 0. The objective value and solution remain the same in this situation, but there are still variables. Degeneracy describes this condition.

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Adama can expect the die to land on a number less than 10 about 36 times in 40 rolls.

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is essentially what probability means.

The die has 10 faces, with numbers 1 through 10, but we are interested in the number of times it will land on a number less than 10. That means, there are 9 possible outcomes for each roll to be less than 10.

The expected number of times the die will land on a number less than 10 can be calculated by multiplying the probability of getting a number less than 10 on each roll by the total number of rolls.

The probability of getting a number less than 10 on each roll is 9/10, since there are 9 faces with numbers less than 10 out of the total of 10 faces.

Therefore, the expected number of times the die will land on a number less than 10 is:

E = (9/10) x 40 = 36

Therefore, Adama can expect the die to land on a number less than 10 about 36 times in 40 rolls.

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☆ 36 times.

— your in college ? im in seventh grade and got this question !

An expression that represents the amount of canned food collected so far by the three friends is 15x^2 + 4xy - 1.

An expression that represents the number of cans the friends still need to collect to meet their goal is 9x^2 - 10xy - 1.

From the information provided above, we can logically deduce the following number of canned food collection expressions for each friend:

Jessa; 9x^2

Theresa: 6x^2 - 4

Ben: 4xy + 3

Canned food collection goal: 24x^2 - 6xy - 2

Therefore, an expression that represents the total amount of canned food collected so far by the three friends can be calculated and written as follows;

Total amount collected = 9x^2 + 6x^2 - 4 + 4xy + 3

Total amount collected = 15x^2 + 4xy - 1

In order to meet the goal, they need to collect this amount:

Remaining canned foods = 24x^2 - 6xy - 2 - (15x^2 + 4xy - 1)

Remaining canned foods = 24x^2 - 6xy - 2 - 15x^2 - 4xy + 1

Remaining canned foods = 9x^2 - 10xy - 1.

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Answer:

Step-by-step explanation:To calculate the savings percentage, we first need to find out the cost of the cardboard required for each box.

For the larger box:

Total Surface Area = 2 * (1926 + 1934.5 + 26*34.5) = 2 * (494 + 655.5 + 897) = 4093 cm²

Cost of cardboard for larger box = 0.502 * 4093 = 2055.986 cents = 20.55986 dollars (rounded to 5 decimal places)

For the smaller box:

Total Surface Area = 2 * (2517 + 2526 + 1726) + 6 * (25-21)* (17-2*1) = 3034 cm²

Note that the additional term in the equation is the surface area of the six sides of the lid and base of the box.

Cost of cardboard for smaller box = 0.502 * 3034 = 1522.268 cents = 15.22268 dollars (rounded to 5 decimal places)

The difference in cost between the larger and smaller boxes is:

20.55986 - 15.22268 = 5.33718 dollars (rounded to 5 decimal places)

The percentage savings can be calculated as follows:

Percentage savings = (difference in cost / cost of larger box) * 100%

= (5.33718 / 20.55986) * 100%

= 25.98%

Therefore, using the smaller box will result in a savings of approximately 26% on cardboard costs for Bathu Sneakers compared to using the normal larger box.

The expected value of the game to the player is $5.95, and if they play 1000 times, they would expect to lose $5950.

The expected value of the game to the player is the average amount of money they can expect to win or lose in the long run. To calculate the expected value, we must multiply the probability of winning (1/38) by the amount of money won ($210) and subtract the probability of losing (37/38) by the amount of money paid to play ($6). This gives us an expected value of (1/38) x ($210) - (37/38) x ($6) = $5.95. If you played the game 1000 times, you would expect to lose $5950 in total, as the expected value of each game is -$5.95. This means that, on average, you would lose $5.95 for every game you play. Multiplying this amount by 1000 gives us our expected total loss of $5950.

The calculation for the expected value of the game and the total expected loss for playing it 1000 times is as follows:

Expected value = (1/38) x ($210) - (37/38) x ($6)

= ($5.526) - ($5.684)

= -$0.158

Therefore, the expected value of each game is -$0.158, which means that on average, a player can expect to lose $0.158 for every game played.

Total expected loss for playing 1000 times = (-$0.158) x 1000

= -$158

Therefore, if the game is played 1000 times, the total expected loss is -$158

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The angles are 121 and 59 degrees, respectively

The given parameters are:

FGH = 11x

HGJ = 6x - 7

Linear pair angles add up to 180.

So, we have:

11x + 6x - 7 = 180

Evaluate the like terms

17x = 187

Divide both sides by 17

x = 11

Substitute x = 11 in FGH = 11x and HGJ = 6x - 7

FGH = 11 * 11=121

HGJ = 6 * 11 - 7 = 59

Hence, the angles are 121 and 59 degrees, respectively

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Hi!

We are asked to find the ratio.

A ratio is a relationship/comparison between two or more numbers based on their numerical value.

We know that, for every 2 triangles there are 6 circles. We can set up our ratio to look like this:

\(\cfrac{2}{6}\)

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(NOTE: there are many different ways to write ratios, including: "x:y", "x to y", or "x/y")

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The question asks us to write it in simplest form. The fraction \(\cfrac{2}{6}\) is NOT in simplest form. It can be simplified to:

\(\cfrac{1}{3}\)

This is the ratio in simplest form.

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Answer:

A = 2184 cm²

Step-by-step explanation:

the area (A) of the figure is calculated as

A = \(\frac{1}{2}\) h(b₁ + b₂)

where h is the perpendicular height between the bases b₁ and b₂

here h = 42 , b₁ = 52 , b₂ = 52 , then

A = \(\frac{1}{2}\) × 42 × (52 + 52) = 21 × 104 = 2184 cm²

Answer:

A = 2184 cm2

Step-by-step explanation:

Area of a parallelogram:

\(A = b*h\)

\(b=52,h=42\)

\(A=(42)(52)=2184cm^{2}\)

Hope this helps.

Answer:

(8, -1)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Where the 2 lines intersect is the solution to the systems of equations. The systems of equations intersect at (8, -1).

Answer:

670, 630, 590, 550, 510, ....

Step-by-step explanation:

The difference between each of the numbers is -40. This is the constant pattern.