The Environmental Protection Agency has determined that safe drinking water should have an average pH of 7. Water is unsafe if it deviates too far from 7 in either direction.You are testing water from a new source and randomly select 30 vials of water. The mean pH level in your sample is 6.4, which is slightly acidic.The Standard deviation of the sample is 0.5.(a) Does the data provide enough evidence at a = 0.05 level that the true mean pH of water from this source differs from 7?(b) A 95% confidence interval for the true mean pH level of the water is (6.21, 6.59). Interpret this interval.(c) Explain why the interval in part (b) is consistent with the result of the test in part (a).

Answer:

(x, y) --> (x-4, y+7)

Step-by-step explanation:

When translating along the x-axis, the x coordinate is changed by the amount with respect to the direction you're moving it in. Moving to the left means you need to subtract from x, moving to the right means you need to add. Since you're moving to the left by 4 in this problem, you need to subtract 4 from the x coordinate.

Similarly, when translating along the y-axis, the y coordinate is changed by an amount with respect to the direction it is moving in. Moving up means you need to add to the y coordinate, moving down means you need to subtract. Since you're moving up by 7 in this problem you need to add 7 to the y coordinate.

Combining these two ideas gives you the translated coordinates (x+4, y+7)

Approximately 0.357 or 35.7% of customers require more than 12 minutes to check out.

Since the checkout times are exponentially distributed with a mean of 5.5 minutes, we can use the exponential distribution formula to find the probability that a customer will take more than 12 minutes to check out:

P(X > 12) = 1 - P(X ≤ 12)

where X is the checkout time.

To find P(X ≤ 12), we can use the cumulative distribution function (CDF) of the exponential distribution, which is:

F(x) = 1 - e^(-λx)

where λ is the rate parameter of the distribution. For an exponential distribution with mean μ, the rate parameter λ is equal to 1/μ.

So, in our case, λ = 1/5.5 = 0.1818, and we can calculate P(X ≤ 12) as:

P(X ≤ 12) = F(12) = 1 - e^(-0.1818 × 12) ≈ 0.643

Therefore, the probability that a customer will take more than 12 minutes to check out is:

P(X > 12) = 1 - P(X ≤ 12) ≈ 1 - 0.643 ≈ 0.357

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Answer:

The equation y = -2x + 1 describes a line on a coordinate plane. To find two ordered pairs that work, you can pick any two x-values and plug them into the equation to get the corresponding y-values. For example, if you choose x = -1 and x = 4, then the corresponding y-values are y = -2(-1) + 1 = 1 and y = -2(4) + 1 = -7. This means that the two ordered pairs that work are (-1, 1) and (4, -7).

Answer:

42 more times

Step-by-step explanation:

1) 4×105=420 (pounds)-blue whale

2) 1×10=10 (pounds)- elephant

3) 420:10=42

The amount of times that the blue whale is more heavier than the elephant in pounds is; 40 times heavier.

Average weight of blue whale; W_w = 4 × 10^(5) pounds

Average weight of elephant; w_e = 1 × 10⁴ pounds

W_w/W_e = (4 × 10^(5))/(1 × 10⁴)

According to laws of exponents;

a¹²/a³ = a¹² ¯ ³ = a^(9)

Applying that to our question gives;

4(10^(5 - 4)) = 4 × 10 = 40

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Answer:

16 units

Step-by-step explanation:

Find the length of each of the four sides and add them all together. The short sides each measure 3 units and the long sides each measure 5 units. 3+3+ 5+5 = 16

Answer:

Are you sure this two are the only choice.

Step-by-step explanation:

And I think it the first one.

Answer:

can you rewrite your answer bc it makes not sense and there's only two answer choices so can you take a ss of your actual problem please and i'll do my best to answer it :)

The correct statement regarding the limit of f(x) as x -> 1 is given as follows:

lim x -> 1 f(x) = -∞.

Here,

To obtain lateral limits, we need to take the limit of a function as it approaches a point from the left-hand side and the right-hand side separately.

If the two limits are equal, then this is the limit of the function, while if the lateral limits are different, then the limit of the function does not exist for the value of x.

From quadrant 2, the function approaches x = 1 on quadrant 4, hence the limit to the left is given as follows:

lim x -> 1^- f(x) = -∞.

A graph approaches x = 1 in quadrant 1, and curves down and approaches the x-axis in quadrant 1, hence the limit to the right is given as follows:

lim x -> 1^+ f(x) = -∞.

As the lateral limits are equal, the limit of the function is given as follows:

lim x -> 1 f(x) = -∞.

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complete question:

Review the graph of function f(x). On a coordinate plane, a graph approaches x = negative 3 in quadrant 2, has inflection point (negative 1, 0) and approaches x = 1 in quadrant 4. A graph approaches x = 1 in quadrant 1, and curves down and approaches the x-axis in quadrant 1. Which statement describes Limit of f (x) as x approaches 1?

Missing Information

The problem describes the graph of the function.

The major axis lies along the z-axis, while the minor axis lies along the x-axis.

Given quadric surface is ( 3x)² − y + (2z)² = 0.

The equation of a quadric surface can be given by Ax² + By² + Cz² + Dxy + Exz + Fyz + Gx + Hy + Iz + J = 0, where A, B, C, D, E, F, G, H, I, J ∈ ℝ and (x, y, z) ∈ ℝ³.

(a) Type of quadric surface defined by the above equation is an elliptic paraboloid.

(b) The trace obtained by intersecting the surface with the xy-plane can be obtained by replacing z with 0. So, the equation is 9x² - y = 0, which can be written as y = 9x².

The trace is a parabola which opens upwards and intersects the y-axis at the origin.

(c) The trace obtained by intersecting the surface with the plane y = 1 can be obtained by replacing y with 1.

So, the equation is 9x² + 4z² = 1.The trace is an ellipse in the xz-plane, centered at the origin.

The major axis lies along the z-axis, while the minor axis lies along the x-axis.

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Answer:

9.5>6      41.8>0

Step-by-step explanation:

This option correctly describes that the function is defined for x-values that satisfy the inequality x - 5 < x < 3. It also states that the range of the function is {-2}, which is not accurate since the range of the function includes multiple values from 1 to 6, inclusive.

Based on the given information, it seems that the linear function is represented by the points (1, 6), (2, 5), (3, 4), (4, 3), (5, 2), and (6, 1). To determine the domain and range of the function, we need to analyze the set of possible inputs (x-values) and the set of possible outputs (y-values) in the function.

The domain of a function refers to the set of all possible input values for the function. In this case, it appears that the function is defined for all values of x between 1 and 6, inclusive. Therefore, the domain can be represented as: Domain: {x | 1 ≤ x ≤ 6}.

The range of a function, on the other hand, refers to the set of all possible output values. Looking at the given points, we can observe that the y-values range from 1 to 6. Therefore, the range can be represented as: Range: {y | 1 ≤ y ≤ 6}.

From the given answer choices, the option that accurately represents the domain and range of the linear function is:

G Domain: {x | x - 5 < x < 3}

Range: {-2}

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The possible first coordinate x with a slope of 3 is equal to -13/3.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Based on the information provided, we can logically deduce the following data points and slope on the line:

Substituting the given data points into the slope formula, we have the following;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

3 = (4 - 8)/(x + 3)

3x + 9 = -4

3x = -13

x = -13/3

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Answer:

10

Step-by-step explanation:

6 3/4 ÷ 3/4 = 9, and plus the sign at the start of the road it would be 10

hope this helps :)

Answer:

33m

Step-by-step explanation:

If the ratio of the new length to the old length is 11:8 (simplified ratio)

I like to set up a proportion, like this,

x/24 = 11/8, where x is the undefined new length

x*8 = 24*11 (cross multiply)

8x = 264 (multiply)

x = 33 (divide 8 by both sides)

The new length is 33m.

Hope I helped! Good Luck!

Answer:

33m

Step-by-step explanation:

The 8 part of the ratio refers to the old length 24m

Divide by 8 to find the value of one part of the ratio

24m ÷ 8 = 3m ← value of 1 part of the ratio, then

11 parts = 11 × 3 = 33m

Thus

33m : 24m = 11 : 8

The mode of the survey results is 6 hours, as this was the most commonly reported number of hours of video games played in the previous week.

The mode of the survey results is the most frequently occurring number of hours of video games played in the previous week. In this survey, the most commonly reported number of hours played was 6. This is because 9 students reported playing 6 hours of video games in the previous week, which is the highest number of students reporting any single amount of hours played. The other numbers of hours played were reported less often, with 2 students reporting 5 hours, 4 students reporting 2 hours, 2 students reporting 1 hour, and 3 students reporting 0 hours. Therefore, the mode of the survey results is 6 hours.

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The value of  x of chord = 5

By definition of circle,

The chord of a circle is defined as the line segment connecting any two locations on the circle's perimeter; nevertheless, the diameter is the longest chord of a circle that goes through the centre of the circle.

The chord is one of the several line segments that may be made in a circle, and its endpoints are on the circumference.

⇒ 6 (6 + x) = 7 (7 + 11)

Solve for x;

⇒ 36 + 6x = 7 × 18

⇒ 36 + 6x = 126

⇒ 6x = 126 - 36

⇒ 6x = 90

⇒ x = 15

Thus, The value of x = 5

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The variable assigned to strgrade when intscore equals 90 would likely be 'A'.

When the variable intscore equals 90, the corresponding value assigned to the variable strgrade would typically be 'A'. This suggests that a score of 90 is associated with the highest grade achievable in the given context. The specific mapping between integer scores and letter grades may vary depending on the grading system or criteria in place. It is important to note that without further information about the grading scale or specific rules defined within the system, it is difficult to determine the exact value of strgrade assigned to intscore of 90.

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The x-terms in the system of equations are eliminated as follows:

The system of equations in the context of this problem is defined as follows:

To solve the system, we use the elimination method, as we want to eliminate the variable x.

The least common factor of 3 and 2 is of 6, hence:

Hence the variable x is eliminated as follows:

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Answer:

B-at the second line

Step-by-step explanation:

hope it can help you lovelots

#LEARN WITH BRAINLY

\(x^2 +6x +18 =0\\\\\implies x^2 + 2 \cdot 3 \cdot x + 3^2 -3^2 +18 =0\\\\\implies (x+3)^2 -9 +18 =0\\\\\implies (x+3)^2 +9 =0\\\\\implies (x+3)^2 =-9\)

The solution to the recurrence relation is:

\(Qn = (1/2)(2^n) - (1/2)\)

To find an explicit formula for the Fibonacci sequence, we first write out the first few terms:

\(f0 = 0\)

\(f1 = 1\)

\(f2 = 1\)

\(f3 = 2\)

\(f4 = 3\)

\(f5 = 5\)

\(f6 = 8\)

...

We notice that each term is the sum of the two preceding terms. Therefore, we can write:

\(fn = fn-1 + fn-2\)

Let's solve this recurrence relation to find an explicit formula for the nth term. First, we write out the first few terms in terms of f1 and f0:

\(f2 = f1 + f0\)

\(f3 = f2 + f1 = f1 + f0 + f1 = 2f1 + f0\)

\(f4 = f3 + f2 = 3f1 + 2f0\)

\(f5 = f4 + f3 = 5f1 + 3f0\)

\(f6 = f5 + f4 = 8f1 + 5f0\)

We can see that the coefficients of f1 and f0 are the Fibonacci numbers themselves (1, 1, 2, 3, 5, 8, ...). Therefore, we can write the explicit formula:

\(fn = (1/√5) [(1+√5)/2]^n - (1/√5) [(1-√5)/2]^n\)

(a) To solve the recurrence relation \(On = 7On-1 - 10On-2\), we first find the roots of the characteristic equation:

\(r^2 = 7r - 10\)

\(r = (7 ± √(7^2 + 40))/2\)

\(r1 = 5, r2 = -2\)

Therefore, the general solution to the recurrence relation is:

\(On = c1(5^n) + c2(-2^n)\)

We can find the values of c1 and c2 by using the initial conditions:

\(O0 = 1, O1 = 5\)

\(c1 + c2 = 1\)

\(5c1 - 2c2 = 5\)

Solving these equations, we get:

\(c1 = 1, c2 = -1/3\)

Therefore, the solution to the recurrence relation is:

On = 5^n - (1/3)(-2)^n

(b) To solve the recurrence relation Qn \(= 2Qn-1 + 1\), we first find the root of the characteristic equation:

\(r - 2 = 0\)

\(r = 2\)

Therefore, the general solution to the recurrence relation is:

Qn = c(2^n) + d

We can find the values of c and d using the initial conditions:

\(Q0 = 0, Q1 = 1\)

\(c + d = 0\)

\(2c + d = 1\)

Solving these equations, we get:

\(c = 1/2, d = -1/2\)

Therefore, the solution to the recurrence relation is:

Qn \(= (1/2)(2^n) - (1/2)\)

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Answer:

2/3+1/9 =7/9

Step-by-step explanation:

u are looking for the lcm of 3 and 9 and then u divide the denominator and mutiply the numerator to get the answer

Answer:

A. log9 3=x

Step-by-step explanation:

The logarithmic form with base 9 is log₉ 3 = x.

The correct option is A.

The equation 9ˣ = 3 can be rewritten in logarithmic form by identifying the base and the result of the exponential operation. In this case, the base is 9, the result is 3, and the exponent is x.

The logarithmic form with base 9 is log₉ 3 = x.

Option A, log₉ 3 = x, is the correct representation of the equation in logarithmic form.

The logarithmic form states that the logarithm of a number (3 in this case) to a specific base (9 in this case) is equal to the exponent (x in this case).

In the equation, 9ˣ = 3, the logarithmic form log₉ 3 = x indicates that the logarithm of 3 with base 9 is equal to x. This means that 3 is the result of raising 9 to the power of x.

Therefore, option A, log₉ 3 = x, is the correct answer representing the equation 9ˣ = 3 in logarithmic form.

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Extra people required is 50.

Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Question 1 :

Number of associates = 30

Number of direct workers = 30 - 2 = 28

You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.

Direct rate = 150 units per hour

Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week

                                                            = 37.5 hours per week

Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units

28 people produce 5625 units in a week

Let x people produce 10,000 + 5625 = 15,625 units in a week

Using proportion,

28 : 5625 = x : 15,625

28 / 5625 = x / 15,625

x = (28 × 15,625) / 5625 = 77.78 ≈ 78

Extra people required = 78 - 28 = 50

Question 2 :

Number of sandwiches made in 10 minutes = 1

Number of sandwiches made in 10 hours = 60

5 workers are there. one worker makes 60/5 = 12 sandwiches

But Deli want number of sandwiches in 10 hours = 75

One worker should make 75/5 = 15 sandwiches instead of 12.

Number of sandwiches made in 8 minutes should be 1.

So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.

Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.

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Answer:

\(-2.3 > -\frac{8}{3}\)

Step-by-step explanation:

-2.3 = -2.3333333333...

-8/3 = -2.666666666...

You can see that -2.6 is less than -2.3

Answer: B

Step-by-step explanation:
A bar over a number means the number is irrational, and the number will repeat. so the numbers are -2.33333333333 and -8/3.
If 8/3 = 2.6666667, then -8/3 will be -2.6666667.
-2.6666666667 is lower than -2.33333333. So the equation is -2.3333333333 > - 8/3.

A. Using algebraic equations the length of each lap is approximately 0.4 km.

B. 224 cups of coffee will be made.

To solve word problems, we can create an algebraic equation to represent the situation given in order to find an unknown quantity.

A. Let x represent the length of each lab.

The algebraic equation that can be created to find x is:

11x = 4.8

To solve for x, divide both sides by 11

11x/11 = 4.8/11

x ≈ 0.4 km

The length of each lap is 0.4 km.

B. let x represent the number of cups of coffee that a 28 oz package can make, therefore:

28 oz = x cup

1/8 oz = 1 cup

Cross multiply

(1)(28) = (x)(1/8)

28 = x/8

Multiply both sides by 8

(28)(8) = (x/8)(8)

224 = x

x = 224

28 oz package will make 224 cups of coffee.

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The missing coefficient of n in n + 8 is 9 after adding like terms which is 2n and 7n.

It is defined as the combination of constants and variables with mathematical operators.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have an expression:

= 2n + (7n + 8)

After adding like terms:

9n + 8

The coefficient of n in n + 8 is 9

Thus, the coefficient of n in n + 8 is 9 after adding like terms which is 2n and 7n.

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Answer:

BODMAS

Step-by-step explanation:

BODMAS is correct.

Brackets

Of

Division

Multiplication

Addition

Subtraction

Angle can be copied by following 6 steps.

These are the steps to copy an angle:

1.Make point B the center of the working line (l).

2.Create an arc (A, r) that intersects the two sides of angle A at locations S and T by setting your compass to any radius r.

3.Create an arc (B, r) with a point V where it intersects the line l.

4.Build an arc (S, ST).

5.Create an arc at point W where (V, ST) intersects (B, r).

6.You're done after you draw line BW.

Angle can be copied by following 6 steps.

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