true/false: the roots of a certain fifth-degree equation are:
-3, 4, 1, square root of 2, i ​

The project is performing well at the end of WEEK 7.

1. The planned value (PV) at the end of WEEK 7 is $30,000.
2. The earned value (EV) at the end of WEEK 7 is $30,000.
3. The actual cost (AC) at the end of WEEK 7 is $30,000.
4. The cost variance (CV) at the end of WEEK 7 is $0.
5. The schedule variance (SV) at the end of WEEK 7 is $0.
6. The cost performance index (CPI) at the end of WEEK 7 is 1.0 (CV/AC).
7. The schedule performance index (SPI) at the end of WEEK 7 is 1.0 (EV/PV).
8. At the end of WEEK 7, this project is performing according to the plan. The CPI and SPI are both equal to 1.0, indicating that the project is on track in terms of cost and schedule. The cost variance (CV) and schedule variance (SV) being zero further support this conclusion, as it means that the project is meeting its planned budget and schedule.

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The scenario that is an example of simple random sampling is option C: "A supermarket wants to study the buying habits of its customers. They choose every 20th customer entering the supermarket to fill out the survey."

Simple random sampling is a method of selecting a sample from a population in which every member of the population has an equal chance of being chosen.

In option C, the supermarket chooses every 20th customer entering the store, which ensures that each customer has an equal chance of being selected. Therefore, this is an example of simple random sampling.

Options A, B, and D do not meet the criteria for simple random sampling, as they involve selecting specific regions, asking for opinions from readers, or mailing questionnaires to students, which does not ensure that every member of the population has an equal chance of being selected.

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4x2-3x+1

represents the polynomial below written in standard form

Answer:

The sum is 1260°.

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

The angles of a triangle add up to 180 degrees (always). 5*11 is 55. 55+80+45=180. Hope this helps!

Answer:

105 minutes/ 1 hour 45 minutes

Step-by-step explanation:

5 hours 10 minutes= 310 minutes

3 hours 25 minutes=205 minutes

310-205=105 minutes=1 hour 45 minutes

Hope this helps! Plz give brainliest!!

Answer:

1st Graph

Step-by-step explanation:

Edge2020

Answer:

The answer is A (the first graph)

Step-by-step explanation:

edg 2021

Statement (c) is correct for a simple graph. Every trail is a path, and every path is a trail.

In graph theory, a simple graph is an undirected graph with no loops or multiple edges between the same pair of vertices. A path in a graph is a sequence of vertices where each consecutive pair is connected by an edge. A trail in a graph is a path that allows for repeated vertices and edges.

Statement (a) is not correct because not every path is a trail. A path does not allow for repeated vertices or edges, whereas a trail does.

Statement (b) is not correct because not every trail is necessarily a path. A trail may contain repeated vertices or edges, but a path does not.

Statement (d) is not correct because paths and trails do have a relation. A trail is a more general concept that encompasses paths by allowing for repetition of vertices and edges.

Therefore, statement (c) is the correct statement. In a simple graph, every trail is a path, and every path is a trail.

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We have the following:

solving for x:

Therefore, the answer is 12, because it is a number greater than 9 and it is not in the interval

Answer:

A=130

Step-by-step explanation:

Answer:

the dimensions of the rectangular poster are width = 6 inches and length = 8 inches.

Step-by-step explanation:

Let's assume the width of the rectangular poster is represented by 'w' inches.

According to the given information, the length of the poster is 5 more inches than half its width. So, the length can be represented as (0.5w + 5) inches.

The formula for the area of a rectangle is given by:

Area = length * width

We are given that the area of the poster is 48 square inches, so we can set up the equation:

(0.5w + 5) * w = 48

Now, let's solve this equation to find the value of 'w' (width) first:

0.5w^2 + 5w = 48

Multiplying through by 2 to eliminate the fraction:

w^2 + 10w - 96 = 0

Now, we can factorize this quadratic equation:

(w - 6)(w + 16) = 0

Setting each factor to zero:

w - 6 = 0 or w + 16 = 0

Solving for 'w', we get:

w = 6 or w = -16

Since the width of a rectangle cannot be negative, we discard the value w = -16.

Therefore, the width of the poster is 6 inches.

To find the length, we substitute the value of the width (w = 6) into the expression for the length:

Length = 0.5w + 5 = 0.5 * 6 + 5 = 3 + 5 = 8 inches

Answer:

300 divided by 50 is 6. 6 x 9 is 54. your answer is B)54

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Input the given values of p and q into the expression and solve:

\(\frac{p+q}{3}\)

\(\frac{9+6}{3}\)

9 + 6 = 15

\(\frac{15}{3} = 5\)

The value of the expression is 5.

Answer:

An irrational number is a number that has no pattern and has no end. For example 3 divided by 7 is an irrational number because of the lack of pattern and never-ending decimal.

Answer:

A number that cannot be expressed as a fraction with the denominator other than 1.

Step-by-step explanation:

For example, the number 4 is a rational number, for it can be written as 8/2.

3.33333333... is a rational number for it can be written 10/3.

HOWEVER,

\(\sqrt{2}\) IS NOT a rational number, since there is no x, y whole numbers

to write

\(\sqrt{2} = \frac{x}{y}\)

For a standard normal distribution, given p(z < c) = 0.624, we need to the balance  value of c.

This means that we need to find the z-value that has an area of 0.624 to the left of it in a standard normal distribution.To find this value, we can use a standard normal table or a calculator with a standard normal distribution function.Using a standard normal table:We look up the area of 0.624 in the body of the table and find the z-value in the margins. The closest area we can find is 0.6239, which corresponds to a z-value of 0.31.

Therefore, c = 0.31.Using a calculator:We can use the inverse normal function of the calculator to find the z-value that corresponds to an area of 0.624 to the left of it. The function is denoted as invNorm(area to the left, mean, standard deviation). For a standard normal distribution, the mean is 0 and the standard deviation is 1. Therefore, we have:invNorm(0.624, 0, 1) = 0.31Therefore, c = 0.31.

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Answer:

5.09

Step-by-step explanation:

Answer:

5.09

Step-by-step explanation:

Answer:

The time it takes Ms. Croft to reach the cruise ship by speedboat = 6.11 hours

The time it takes Ms. Croft to reach the cruise ship by helicopter = 6.25 hours

since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.

Step-by-step explanation:

The given parameters are;

The elapsed time by which Ms. Croft missed the boat = 5 hours

The speed of the cruise ship = 528 mi/day

The speed of the speedboat = 100 miles in 2.5 hours

The speed of the helicopter = 90 mph

The time it would take Ms. Croft to arrive at the harbor = 3.5 hours

Therefore, we have;

The cruise ship's speed = 528 miles per 24 hours = 528/24 mph = 22 mph

The location of the cruise after the first 5 hours = 5 × 22 = 110 miles

The speed of the speedboat = 100 miles per 2.5 hours = 100/2.5 = 40 mph

By traveling with a speed boat

The time at which Ms. Croft will intercept the cruise ship is given by the following relation;

40 mph × t = 22 mph × t + 110 miles

Which gives;

40 mph × t - 22 mph × t = 110 miles

18 mph = 110 miles

t = 110 miles/(18 mph) = 55/9 hours ≈ 6.11 hours

By taking the helicopter, we have;

Upon arrival at the harbor, after 3.5 hours, we find

90 mph × t = 22 mph × t + 22 mph × 3.5 hours + 110 miles

90 mph × t - 22 mph × t = 22 mph × 3.5 hours + 110 miles

68 mph × t = 77 miles + 110 miles = 187 miles

t = 187 miles/(68 mph) = 11/4 hours = 2.75 hours

The total time it takes Ms. Croft to reach the cruise ship by taking the helicopter = 3.5 + 2.75 = 6.25 hours

Therefore, since it takes less time for Ms. Croft to reach the cruise ship by taking the speedboat, her best choice to retrieve the artifact is to take the speedboat.

Answer:

37.5% decrease

Step-by-step explanation:

By using this formula: (New - Old) ÷ New

(20000 - 32000) ÷ 32000 = -12000/32000

-12000/32000 x 100 = -37.5% (Negative means decrease)

The x-intercept is 5 and the y-intercept is 2.

The standard form of the line is 2x + 5y = 10.

The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis. In other words, the x -intercept is the value of x when y = 0 and the y-intercept is the value of y when x = 0.

Hence, the x-intercept is 5 and the y-intercept is 2.

Let's find the equation in standard form.

Ax + By = C

where

Using slope intercept form,

y = mx + b

where

Hence, using (5, 0) and (0, 2)

m = 2 - 0 / 0 - 5

m = - 2 / 5

Therefore.

y = - 2 / 5x + 2

Hence, let's multiply through by 5 to eliminate the fraction

5y = -2x + 10

Therefore, the standard form is as follows:

2x + 5y = 10

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Answer its quite easy i hope this will be right

1) 4.1833

2) 5.29+2.366=7.656

Answer:

125 over 343 as a fraction and 0.364431 as a decimal

Step-by-step explanation:

hope this helps dont know if its right

Answer:

125/343

Step-by-step explanation:

the rule for division is:

Then:

you will substract the exponents

Answer:

E = 0.875.

Step-by-step explanation:

Substitute the values for t* and s^d.

0.918 * 2.696 = 2.474928.

Substitute 8 for n.

The square root of 8 is 2.8284271247461900976033774484194.

2.474928 / 2.8284271247461900976033774484194 = 0.87501918587422984573516646770771

0.87501918587422984573516646770771 ≈ 0.875

Answer:E = 0.875.

Step-by-step explanation:

a. X follows a normal distribution (X ~ N).

b. To find the proportion of novels between 48,956 and 66,089 words, we need to calculate the z-scores for these values and find the corresponding proportions using a standard normal distribution table or calculator.

c. The 70th percentile for novels is approximately 68,467 words.

d. The middle 50% of romance novels have a word count range from approximately 46,618 to 82,134 words.

a. The distribution of X, the number of words in a randomly selected romance novel, is approximately normal (X ~ N(64376, 17133)).

b. To find the proportion of novels that are between 48,956 and 66,089 words, we need to calculate the z-scores for these values and then find the corresponding probabilities using the standard normal distribution table. Let's denote the z-scores as z1 and z2, respectively:

z1 = (48956 - 64376) / 17133

z2 = (66089 - 64376) / 17133

Using the z-scores, we can find the probabilities P(Z < z1) and P(Z < z2) from the standard normal distribution table. Then, the proportion of novels between 48,956 and 66,089 words is given by:

P(z1 < Z < z2) = P(Z < z2) - P(Z < z1)

c. The 70th percentile for novels corresponds to the value below which 70% of novels fall. To find this value, we need to find the z-score corresponding to the 70th percentile using the standard normal distribution table. Let's denote this z-score as z70. Then, we can calculate the number of words using the z-score:

Number of words = Mean + (z70 * Standard deviation)

d. The middle 50% of romance novels corresponds to the interval between the 25th and 75th percentiles. To find these values, we need to find the z-scores corresponding to the 25th and 75th percentiles using the standard normal distribution table. Let's denote these z-scores as z25 and z75. Then, we can calculate the number of words using these z-scores:

Number of words (lower bound) = Mean + (z25 * Standard deviation)

Number of words (upper bound) = Mean + (z75 * Standard deviation)

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Answer:

267.95 y^3 or we can keep it like 85.333πy^3

Step-by-step explanation:

Radius of the Sphere is 4y

Volume of sphere = (4/3)πR^3, where R is the radius of sphere.

Therefore, (4/3) *π*(4y) ^3

= [(256/3) y^3]π

=85.333πy^3

=267.95y^3 (Ans)

Answer:

Let's solve your equation step-by-step.

2 ( x+12 ) = 4x − 6

Step 1: Simplify both sides of the equation.

2 (x+12) = 4x − 6

(2) (x) + (2) (12) = 4x + −6 (Distribute)

2x + 24 = 4x + −6

2x + 24 = 4x − 6

Step 2: Subtract 4x from both sides.

2x + 24 − 4 x = 4x − 6 − 4x

−2x + 24 = −6

Step 3: Subtract 24 from both sides.

−2x + 24 − 24 = −6 −24

−2x = −30

Step 4: Divide both sides by -2.

−2x  / −2  =  −30  / −2

x=15

Answer:

x=15

Hope it helps

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Thank you

Answer:

1.

Step-by-step explanation:

The limit of \(\lim_{x \to \infty} \frac{lnx}{x}\)  using L'Hospital rule is 0.

According to the given question.

We have to find the limit of ln(x)/x when x approaches to infinity.

If we let x = ∞, we get an indeterminate form \(\frac{\infty}{\infty}\) ie. \(\frac{ln(x)}{x} = \frac{\infty}{\infty}\).

And, we know that whenever we get indeterminate form ∞/∞ we apply L'Hospital rule.

Therefore, defferentiating numerator ln(x) and x with respect to x.

\(\implies \frac{d(ln(x))}{dx} = \frac{1}{x}\) and \(\frac{d(x)}{dx} =1\)

So,

\(\lim_{x\to \infty}\frac{\frac{1}{x} }{1}\)

\(= \lim_{x \to \infty} \frac{1}{x}\)

As, x tends to ∞, 1/x tends to 0. Because ∞ is very large number and 1 divided by a very large number always approaches to 0 and it is very close to zero.

Therefore,

\(\lim_{x \to \infty} \frac{1}{x} = 0\)

Hence, the limit of \(\lim_{x \to \infty} \frac{lnx}{x}\) is 0.

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