If the manager of a bottled water distributor wants to estimate, 95% confidence, the mean amount of water in a 1-gallon bottle to within ±0.006 gallons and also assumes that the standard deviation is 0.003 gallons, what sample size is needed?

If a light bulb manufacturing company wants to estimate, with 95% confidence, the mean life of compact fluorescent light bulbs to within ±250 hours and also assumes that the population standard deviation is 900 hours, how many compact fluorescent light bulbs need to be selected?

If the inspection division of a county weighs and measures department wants to estimate the mean amount of soft drink fill in 2-liter bottles to within ± 0.01 liter with 95% confidence and also assumes that the standard deviation is 0.08 liters, what sample size is needed?

An advertising executive wants to estimate the mean amount of time that consumers spend with digital media daily. From past studies, the standard deviation is estimated as 52 minutes. What sample size is needed if the executive wants to be 95% confident of being correct to within ±5 minutes?

the elevator is on 7th floor.

Answer:

Solutions given:

street level increases when goes up and decreases when goes down.

from street level

0+10-3=7

the elevator is on 7th floor.

Street level is floor no 0

Then it goes to 10floors .

Current floor

Then goes down three floors

Final floor.

Answer:

My pleasure in French is Mon Plaisir

Answer:

You can say ''my pleasure '' in French ''

Step-by-step explanation:

mon plaisir

Answer:

x >7

Step-by-step explanation:

There is an open circle at 7, which means it cannot equal 7.  The line goes to the right

x >7

Answer:

statistical parameter

Step-by-step explanation:

In this scenario, Brian Vanecek is using a statistical parameter also known as a population parameter. This is the best explanation to what Brian is using since he is calculating the average waiting time based on the information gathered from a randomly selected sample of the population. Since this sample was random it exemplifies the entire population and therefore allows for the data to be generalized to that population. Using the statistics gathered he can calculate the average waiting time as a statistical parameter of the population.

Answer:

Read explanation

Step-by-step explanation:

Whatever is underlined copy in:

58+3x-13=90, so 3x + 45 = 90

Then 3x=45 and x =15

m<MNQ = 3x -13 = 3(15)-13

                           = 45-13

                           =32

Answer:

tell me what grade u are in and I will try my best to help

Answer:WAIT I HAVE IT

Step-by-step explanation:

When x is equal to 1, the Function f(x) = -4x - 5 yields a value of -9.

The find ƒ(1) for the function f(x) = -4x - 5, we need to substitute x = 1 into the function and evaluate the expression.

Replacing x with 1, we have:

ƒ(1) = -4(1) - 5

Simplifying further:

ƒ(1) = -4 - 5

ƒ(1) = -9

Therefore, when x is equal to 1, the value of the function f(x) = -4x - 5 is ƒ(1) = -9.

Let's break down the steps taken to arrive at the solution:

1. Start with the function f(x) = -4x - 5.

2. Replace x with 1 in the function.

3. Evaluate the expression by performing the necessary operations.

4. Simplify the expression to obtain the final result.

In this case, substituting x = 1 into the function f(x) = -4x - 5 gives us ƒ(1) = -9 as the output.

It is essential to note that the notation ƒ(1) represents the value of the function ƒ(x) when x is equal to 1. It signifies evaluating the function at a specific input value, which, in this case, is 1.

Thus, when x is equal to 1, the function f(x) = -4x - 5 yields a value of -9.

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Answer:

the correct option is " A= 5t+100 ".

Answer:

13 + 10 + 10= 23, 33

11 + 11 + 11 = 22, 33

Angela is cheaper for two

Same price for 3

Teresa is cheaper for 4

Step-by-step explanation:

You should choose who you want by the hours you will be gone knowing who is more and less

Answer: 5/6

Step-by-step explanation:

Answer:

6 divided by 8 is 3/4 (.78)

2/3 divided by 8 is 1/12 (0.083)

6 2/3 divided by 8 is 5/6 (0.83)

The four rectangles can be painted with 7 different paints in 840 ways.

A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order. For example, the permutation of set A={1,6} is 2, such as {1,6}, {6,1}, there are no other ways to arrange the elements of set A.

The formula for permutattion is;

\(P_r_n = \frac{n!}{(n-r)!} \\\)

where r = 4

n = 7

Substituting the values for n and r

\(P = \frac{7!}{(7-4)!}\)

\(P = \frac{7!}{3!}\)

P = 840 ways.

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The total surface area of the figure will be 1968.85 square meters.

To determine  the surface area of the figure, we need to find the area of each face and then add them together.

Surface Area of the rectangular prism = 2(lb + bh + hl)

= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)

= 2(152 + 133 + 224) = 2(509)

= 1018 m²

Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:

Surface Area of the triangular prism;

= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)

= (154 + 350.35 + 445.5)

= 950.85 m²

Therefore, the total surface area of the figure will be;

Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism

= 1018 m² + 950.85 m²

= 1968.85 m²

So, the surface area of the figure is 1968.85 square meters.

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By using Euclidean geometry, the set of side lengths  2.5 cm, 1.8 cm, 4 cm can form a triangle.

The sum of the lengths of any two sides must be greater than the length of the third side.

a + b ≥ c

A triangle is a three-sided polygon with three straight sides. It is a basic geometric shape that is found in many areas of mathematics and geometry.

Using this rule, we can determine which of the given sets of side lengths can form a triangle:

(a) 3 cm, 4 cm, 7 cm: It is not possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (3 cm + 4 cm = 7 cm) is equal to the length of the third side.

(b) 2 cm, 3 cm, 7 cm: It is not possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (2 cm + 3 cm = 5 cm) is less than the length of the third side.

(c) 2.5 cm, 1.8 cm, 4 cm: It is possible to form a triangle with these side lengths, because the sum of the lengths of the first two sides (2.5 cm + 1.8 cm = 4.3 cm) is greater than the length of the third side.

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The measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

To find the measure of angle ADM, we need to consider that angle ADM is an inscribed angle and its measure is half the measure of the intercepted arc AD.

Given that the measure of arc CD equals the measure of arc DA, it means that these arcs are congruent.

Therefore, the intercepted arcs AD and CD have equal measures.

Since angle ADM is an inscribed angle intercepting arc AD, the measure of angle ADM is half the measure of arc AD.

Therefore, the measure of angle ADM is 45.0°, as the intercepted arc AD is congruent to arc CD.

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The computed mean 51.5 is less than the actual mean of 51.9°.

In statistics, the mean refers to the average of a set of values. The mean can be computed in a number of ways, including the simple arithmetic mean (add up the numbers and divide the total by the number of observations).

Here,

Low temperature (°F)    40-44     45-49      50-54      55-59     60-64

Frequency                       3             7             12            6            2

Now, mean = [42(3)+47(7)+52(12)+57(6)+62(2)]/30

= (126+329+624+342+124)/30

= 1545/30

= 51.5°

Therefore, the computed mean 51.5 is less than the actual mean of 51.9°.

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When factorized, the quadratic expression would then take the form of B. (x - 4)(x ² + 25)

x³ - 4x + 25x² - 100

First, we can factor out an x from the first two terms, and then group the last two terms:

x(x² - 4) + 25(x² - 4)

Now we can factor out the common factor of (x² - 4):

(x² - 4)(x + 25)

The factored form of the given quadratic expression is:

(x² - 4)(x + 25)

Now let's factor (x² - 4), which is a difference of squares:

(x - 2)(x + 2)(x + 25)

(x - 4)(x² + 25)

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Answer:

.50r + 2p

Step-by-step explanation:

cost of ruler * number of rules  + cost of pens * number of pens

.50 *r + 2 *p

.50r + 2p

========================================================

Explanation:

The distributive property is

x(y+z) = x*y + x*z

We multiply the outer term x by each term inside the parenthesis y and z, and add up the results.

In this case, the outer term 4 is multiplied by the terms inside the parenthesis 2a and 3

So,

That's how 4(2a+3) becomes 8a+12 We can then say 4(2a+3) = 8a+12  which is choice D.

Choice A is likely a trick answer because many students often forget to multiply the outer term by each term inside. In other words, they would do this mistake

4(2a+3) = 4*2a+3 = 8a+3

but we would need to multiply that 3 by 4 as well

Choice B seems to be a similar idea, but the 2a is left out this time.

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

Extra info (optional section)

The 4 outside the (2a+3) means we have four copies of (2a+3) being added together. Recall that multiplication is effectively repeated addition.

So we could say

4(2a+3) = (2a+3)+(2a+3)+(2a+3)+(2a+3)

4(2a+3) = (2a+2a+2a+2a) + (3+3+3+3)

4(2a+3) = 4*(2a) + 4*(3)

4(2a+3) = 8a + 12

This is one example showing how the distributive property works.

Two ways we use rate out of class

Two ways we use percentages outside of class

Interest rates: Interest rates are used in financial transactions such as loans, mortgages, and investments. Understanding interest rates is important to make informed decisions about borrowing money or investing in stocks and bonds.

Exchange rates: Exchange rates are used when converting one currency into another. They affect international trade, travel, and investment. Understanding exchange rates is important for businesses and individuals who deal with international transactions.

Discounts and sales: Percentages are commonly used in advertising to promote discounts and sales. Understanding percentages is important to evaluate whether a discount or sale is a good deal or not.

Tax rates: Tax rates are expressed as a percentage of income or value of goods and services. Understanding tax rates is important for individuals and businesses to calculate their tax obligations and make informed financial decisions.

Understanding rates and percentages is important because they are used in many real-world situations. Knowing how to calculate and interpret rates and percentages can help individuals make informed decisions related to personal finance, investments, and business transactions. It also helps individuals understand and evaluate advertisements and government policies that involve rates and percentages.

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The Present value is $6,139.132.

We have,

FV=100000, pmt = 4000, I =5%, n=10

So, The present value formula is

PV=FV / (1 + \(i)^n\)

So, PV =  100, 000 / (1+ 5/100\()^{10\\\)

PV = 100,000 / (1+ 0.05\()^{10\\\)

PV = 100, 000/ (1.05\()^{10\\\)

PV = 100,000 / 1.6288946

PV= $6,139.132

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Answer:

2x^3 - 7x^2 + 6x - 1

Step-by-step explanation:

Thank me later lol.

Answer:

B. \(\dfrac{x^2+3}{\left(x-1\right)\left(x-3\right)}\)

Step-by-step explanation:

Will provide explanation later since you are in a hurry

1. Find the LCM of the two denominators: x-1 and x -3

This is (x-1)(x-3)

2. Multiply each numerator by the same amount needed to multiply its​corresponding denominator to turn it into the LCM (x−1)(x−3)

\(\mathrm{For}\:\dfrac{x-3}{x-1}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x-3\)

\(\dfrac{x-3}{x-1} = \dfrac{\left(x-3\right)\left(x-3\right)}{\left(x-1\right)\left(x-3\right)} = \dfrac{\left(x-3\right)^2}{\left(x-1\right)\left(x-3\right)}\)

\(\mathrm{For}\:\dfrac{6}{x-3}:\:\mathrm{multiply\:the\:denominator\:and\:numerator\:by\:}\:x-1\)
\(\dfrac{6}{x-3} = \dfrac{6\left(x-1\right)}{\left(x-3\right)\left(x-1\right)} = \dfrac{6\left(x-1\right)}{\left(x-1\right)\left(x-3\right)}\)

\(2. \mathrm{Simplify\:}\left(x-3\right)^2+6\left(x-1\right)\)
\(\left(x-3\right)^2 = x^2 - 6x + 9\\\\\\3. \; \text{Expand }6\left(x-1\right)\;6\left(x-1\right) = 6x-6\\\\\)

4. Since the denominators are the same in both terms, we can add the numerators and use the common denominator as the denominator for the result

Answer:

While adding two Fractions first we find the LCM of Denominators,

The LCM of x-1 and x-3 is (x-1)(x-3)

now, we perform the calculation as ,

\({\frac{x-3}{x-1}} + {\frac{6}{x-3}}\)

\({\frac{(x-3)²+6(x-1)}{(x-1)(x-3)}}\)

\({\frac{x²+9-6x +6x-6}{(x-1)(x-3)}}\)

\({\frac{x²+3}{(x-1)(x-3)}}\)

Hence option B is the answer

Answer:

x + y = 18

Step-by-step explanation:

simply transfer the variable 'x' to the other side of the equation. hope this helps you :)

Answer:

  an infinitely long time

Step-by-step explanation:

You want to know the time it takes for a kitten running 20 ft/s to catch a puppy running 25 ft/s when they start 180 ft apart and the puppy runs away from the kitten.

The kitten runs slower than the puppy, so can never catch up to it.

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The size of the largest interior angle of the field is 69.86°

The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,

We know that, angle opposite to the largest side is largest,

Therefore,

The largest angle is opposite is 210 m side, (say c)

Using the cosine rule,

210² = 170²+195²-2(170)(195)cosC

CosC = 170²+195²-210² / 2(170)(195)

CosC = 22825 / 66300

CosC = 0.344268477

C = 69.86°

Hence, the size of the largest interior angle of the field is 69.86°

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Answer:

1808.64 in²

Step-by-step explanation:

We can first convert 9 cm into 24 in using the scale. From there on outwards, we know that the area of a circle is equal to πr², so we just plug in 3.14 for π and 24 in for r. Then, we get 576(3.14) and finally 1808.64 in².

By the way, the scale is wrong. It should be 8 cm = 3 in, not 3 cm = 8 in.

Answer:255

Step-by-step explanation:

-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 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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Answer:

10.30 or 10 1/6 if this answer is not on the answer choices round to the nearest answer close to this.  

Step-by-step explanation:

how to solve.

34/5=6.8    - this is how many miles the car is traveling per minuet.

6.8/70=10.30   - this should be the answer because this is how many minutes it takes the car to travel 70 miles

Considering the definition of distance between two points, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

The distance between two points is equal to the length of the segment that joins them. Therefore, to determine the distance between two different points, you must calculate the squares of the differences between their coordinates and then find the root of the sum of said squares.

In other words, the distance between two points in space is the magnitude of the vector formed by said points.

So, given the coordinates of two distinct points (x1, y1) and (x2, y2), the distance between two points is the square root of the sum of the squares of the difference of the coordinates of the points:

distance= \(\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }\)

In this case, you know:

Replacing in the definition of distance:

distance= \(\sqrt{(5-(-2))^{2} +(-4-1)^{2} }\)

distance= \(\sqrt{(5+2)^{2} +(-5)^{2} }\)

distance= \(\sqrt{7^{2} +(-5)^{2} }\)

distance= \(\sqrt{49+25 }\)

distance= √74= 8.6023

Finally, the distance between the points (-2,1) and (5,-4) is √74= 8.6023.

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