Chris needs an extension cord to set up his new video game. How many 2-meter cords will he need to reach 7 meters?

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

The probability of a type i error for a sample of size 10 depends on the significance level (α) chosen for the hypothesis test. Assuming a standard significance level of 0.05, the probability of a type i error for a sample of size 10 can be calculated using a t-distribution table or a statistical software.

A type i error occurs when a null hypothesis is rejected when it is actually true. In hypothesis testing, the significance level (α) is the probability of rejecting the null hypothesis when it is actually true. A common significance level used in statistical analysis is 0.05, which means that there is a 5% chance of rejecting the null hypothesis when it is actually true.

The probability of a type i error for a sample of size 10 can be calculated using a t-distribution table or a statistical software. The calculation involves finding the critical value of t at the chosen significance level and degrees of freedom (df), which is equal to the sample size minus 1 (n-1). For a sample size of 10 and a significance level of 0.05, the critical value of t is approximately 2.306 (from a t-distribution table with 9 degrees of freedom).

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Answer:

48

Step-by-step explanation:

Answer:

umm, 3/4

like

bru

Step-by-step explanation:

Given:

The equation of polynomial is

\(2x^3-5x^2+1=0\)

To find:

All rational roots of the polynomial.

Solution:

According to the rational root theorem, all the possible rational roots of a polynomial are defined as

\(x=\dfrac{p}{q}\)

where, p is a factor of constant term and q is factor of leading coefficient.

We have,

\(2x^3-5x^2+1=0\)

Here, leading coefficient is 2 and constant term is 1.

Factors of 1 are ±1.

Factors of 2 are ±1, ±2.

Using rational root theorem, we get

\(x=\pm \dfrac{1}{1},\pm \dfrac{1}{2}\)

\(x=\pm 1,\pm \dfrac{1}{2}\)

Therefore, all possible rational roots of the given polynomial are \(\pm 1,\pm \dfrac{1}{2}\).

Sampling is the use of a subset of the population to represent the whole population or to inform about processes that are meaningful beyond the particular cases, individuals or sites studied.

In non-probability sampling, the sample is selected based on non-random criteria, and not every member of the population has a chance of being included. Common non-probability sampling methods include convenience sampling, voluntary response sampling, purposive sampling, snowball sampling, and quota sampling.

The numerator for the given rational expression is 3 + 5k.

In the given rational expression, (3 + 5k) represents the numerator. The numerator is the part of the fraction that is located above the division line or the horizontal bar.

In this case, the expression 3 + 5k is the numerator because it is the sum of 3 and 5k. The term 3 is a constant, and 5k represents the product of 5 and k, which is a variable.

The numerator consists of the terms 3 and 5k, which are combined using addition (+). Therefore, the numerator can be written as 3 + 5k.

To clarify, the numerator is the value that contributes to the overall value of the fraction. In this case, it is the sum of 3 and 5k.

Hence, the correct answer for the numerator of the given rational expression (3 + 5k) / (74/k^2) is 3 + 5k.

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The number of randomly selected Americans that must be surveyed is equal to 38 if the confidence interval is 97.5% with a 0.16 margin of error.

First, we calculate the critical value as follows;

a = (1 - 0.975) = 0.025 = 0.025 / 2 = 0.0125 = (1 - 0.0125) = 0.9875

Z - Critical value = NORM.S.INV (0.9875) = 1.96

As margin of error(ME) = 0.16

Therefore;

n = pq(Z²) / ME²

n = 0.5 × 0.5 (1.96)² / (0.16)²

n = 0.25 × 3.8416 / 0.0256

n = 0.9604 / 0.0256

n = 37.515

Rounding it to the nearest whole number;

n = 37.515 = 38

Hence 38 randomly selected Americans must be surveyed if the estimated confidence interval is 97.5% and the margin of error is 0.16.

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Answer:

If  5 hours= 60 bottles

then 3 hours= 5×60÷3

                     =36 bottles

Step-by-step explanation:

The number of bottles that the machine can make in three hours will be 36 bottles.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The rate is the ratio of the amount of something to the unit.

For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.

A bottling machine makes 60 bottles in 5 hours. Then the rate of the machine is given as,

⇒ 60 / 5

⇒ 12 bottles per hour

Then the number of the bottle that the machine can make in three hours is given as,

⇒ 12 x 3

⇒ 36 bottles

The number of bottles that the machine can make in three hours will be 36 bottles.

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The equation of the vertical asymptote of the function \(g(x)=4log_{2} (x-2)+5\) is x=2.

Vertical asymptotes are vertical lines that represent the zeros of a rational function's denominator. Asymptotes can also occur in other situations, such as logarithms. It occurs at the x-value that is outside the domain of the function, therefore the graph can never cross it.

There may be a vertical asymptote along the vertical line if a portion of the graph is about to turn vertical. At the point of x along which you discovered the vertical asymptote, the function's value changes to either ∞ or -∞. A vertical asymptote, however, must never touch the graph.

Graph the function \(g(x)=4log_{2} (x-2)+5\)

(x,y)= (3,5), (4,9), (6,13)

From graph we can see that the graph is turning to be vertical from x=2. So, the equation of vertical asymptote of the function is x=2.

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The complete question is:

“What is the equation of the vertical asymptote of \(g(x)=4log_{2} (x-2)+5\)? enter your answer in the box.”

Answer:

addition?

Step-by-step explanation:

Answer:

13.) 314.2 in²

15.) 181.5 ft²

Step-by-step explanation:

The area of a circle is found using the equation:

A = πr²

In this equation, "π" represents the number pi (3.14....) and "r" represents the radius (half the diameter).

For 13.), you have been given the radius. Thus, you can substitute it into the equation and solve for "A".

A = πr²

A = π(10)²

A = π x (100)

A = 314.2 in²

For 15.), you have been given the diameter. To find the radius, you need to divide this value by 2. Once you find the radius, you can plug it into the equation and simplify like above.

diameter = 15.2 ft
radius = 7.6 ft

A = πr²

A = π(7.6)²

A = π x (57.76)

A = 181.5 ft²

Answer: A

Step-by-step explanation:

Answer:

144g

Step-by-step explanation:

Make a ratio:

15:108

20:x

cross multiply

15x = 2160

x = 144

Answer:

the hypothalamus

Step-by-step explanation:

In vertebrates, the hypothalamus is the neural control center for all endocrine systems. In humans, the major endocrine glands are the thyroid gland and the adrenal glands.

Answer: the hypothalamus

Step-by-step explanation:

because i got it right on edge

Answer:

I'm guessing 1/3 but there is like missing pieces to the problem.

The product of the slopes of two non-vertical perpendicular lines is always -1.

It is NOT possible for two perpendicular lines to both have a positive slope because the product of two positives is positive. So for the product of the slopes to be -1, one of the slopes must be positive and the other negative.

The definition of perpendicular lines is lines that intersect and at the point of intersection they form a right angle of 90°.

In determining the gradient of two mutually perpendicular when multiplied it will produce the number -1. So the formula used is:

y = mx + c

Meanwhile, the gradient formula is m1 = -1/m2.

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t = 8

It will take Mrs. Reed 8 hours to catch up to Mr. Reed.

To find out how many hours it will take Mrs. Reed to catch up to Mr. Reed, we can set up an equation based on their relative speeds.

Let's assume that Mrs. Reed catches up to Mr. Reed after t hours.

In those t hours, Mr. Reed will have traveled a distance of 50t miles (since he averages 50 mph).

Mrs. Reed, on the other hand, will have traveled a distance of 80(t-3) miles (since she averages 80 mph and leaves 3 hours later).

For Mrs. Reed to catch up to Mr. Reed, their distances traveled must be equal. Therefore, we can set up the equation:

50t = 80(t-3)

Let's solve for t:

50t = 80t - 240

240 = 80t - 50t

240 = 30t

t = 240/30

t = 8

Therefore, it will take Mrs. Reed 8 hours to catch up to Mr. Reed.

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Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.

On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.

If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.

Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.

Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.

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The required probability that she'll use a cab exactly one time is  4/9.

probability is a part of math that arrangements with figuring out the probability of the event of an occasion.

Elizabeth lives in San Francisco and works in Mountain View.

In the first part of the day she has 3 transportation choices  (bus, cab, train) to work, and at night she has similar 3 options for her outing home.

All transportation  (bus, cab, train) are comparably liable to be chosen, and 1 of them should be chosen in the first part of the day and night, so we get:

P (bus) = P (taxi) = P (train) = 1/3.

We additionally have P(no taxi in night) = P(no taxi at morning) = 2/3

Presently, P(using taxi precisely once) = P(cab at morning and no taxi at night) + P(no taxi at morning and taxi at night)

= P(cab, no taxi) + P(no taxi, taxi)

= 1/3 × 2/3 + 2/3 × 1/3

= 2/9 + 2/9

= 4/9

Consequently, the probability that Elizabeth utilizes a taxi just once is 4/9.

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Answer:

5f+45g

Step-by-step explanation:

Simplify

5*f(1) = 5f

5*g(9) = 45g

5f+45g

Answer:

1. x=9

2. x=2

3. x=6

Step-by-step explanation:

I only know 1-3 sorry, but hope this helps

Answer:

x- axis, I'm pretty sure

Step-by-step explanation:

Answer: The x axes

Step-by-step explanation:

Answer:

46

Step-by-step explanation:

Since we know the value of the variable c, we can substitute 20 for c

2c + 6

2(20) + 6

40 + 6

46

Check the picture below.

Answer:

I attached an image below with the answers.

Step-by-step explanation:

To find the correct answers to these questions, you can simply take the shown x and y values and plug them into the possible systems of equations listed in the blue. Sub the x into the x and the y into the y. Numbers like 2x and 3y are multiplication.

If the numbers you inputted equal the same on both sides of the equal sign for both equations per box, then the solutions, (x and y) are true for that system.

I hope the image makes sense and you don't have to download it.

Thus, the number of volume read by both Eva and Maria in total 2 weeks is 8.

Slope is a crucial topic in economics because it's used to gauge how quickly things are changing.

The slope expresses how quickly the dependent variable changes when the independent variable changes. The line becomes steeper as the slope increases.

Given data:

Now,

Let the number of weeks at which both read the equal number of volume be x.

Total number of volume be y

So,

For Eva: y = 4 + 2x

For Maria: 0 + 4x

Equating both equations:

4 + 2x = 4x

4x - 2x = 4

2x = 4

x = 4/2

x = 2

Number of volumes read by each girl:

For Eva: y = 4 + 2(2)= 8

For Maria: 0 + 4(2) = 8

Thus, the number of volume read by both Eva and Maria in total 2 weeks is 8.

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Answer

Step-by-step explanation:

Answer:

42/1 x 7/3= 294/3= 98

Step-by-step explanation: