The average American gets a haircut every 43 days. Is the average smaller for college students? The data below shows the results of a survey of 13 college students asking them how many days elapse between haircuts. Assume that the distribution of the population is normal. 36, 42, 40, 45, 33, 31, 47, 47, 39, 41, 33, 48, 32 What can be concluded at the the α = 0.05 level of significance level of significance? For this study, we should use Select an answer The null and alternative hypotheses would be: H 0 : ? Select an answer H 1 : ? Select an answer The test statistic ? = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 3 decimal places.) The p-value is ? α Based on this, we should Select an answer the null hypothesis. Thus, the f conclusion is that ... The data suggest the population mean number of days between haircuts for college students is not significantly lower than 43 at α = 0.05, so there is insufficient evidence to conclude that the population mean number of days between haircuts for college students is lower than 43. The data suggest the population mean is not significantly lower than 43 at α = 0.05, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is equal to 43. The data suggest the populaton mean is significantly lower than 43 at α = 0.05, so there is sufficient evidence to conclude that the population mean number of days between haircuts for college students is lower than 43.

Answer:

i would imagine the ratio would be 3:4

Step-by-step explanation:

3 liters of red paint compared to 4 liters of blue i believe hope this help :D

Answer:

b. Yes

c. No

d. No

e. Yes

Step-by-step explanation:

hope this helped

Answer:

b no

c no

d yes

e yes

Step-by-step explanation:

there can not be 2 of the same x's but there can be 2 of the same y's

The two real numbers that determine M are -2π and 0. The two real numbers that determine N are 0 and 2π. The two real numbers that determine P are -π and π. The two real numbers that determine Q are π and 2π.

Real numbers are numbers that include both rational and irrational numbers. Rational numbers such as integers (-2 [1], 0, 1), fractions (1/2, 2.5) and irrational numbers such as the square root of 2 (1.4142135623730951…) are all examples of real numbers. Real numbers can be used to measure a continuous one-dimensional quantity such as a distance, duration or temperature. They are also important in mathematics, and are used in calculations, equations, and proofs.

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9514 1404 393

Answer:

  75%

Step-by-step explanation:

You are correct:

  18/24 = 3/4 = (3/4)×100% = 75%

75% of the students passed the test.

Answer:

hope this pic helps you

The lower bound of the 95% confidence interval is given as follows:

7.981 mm.

The level of confidence of the statement is of 95%.

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The variables of the equation are listed as follows:

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 100 - 1 = 99 df, is t = 1.9842.

The parameters for this problem are given as follows:

\(\overline{x} = 8.1, s = 0.6, n = 100\)

Hence the lower bound of the interval is given as follows:

8.1 - 1.9842 x 0.6/10 = 7.981 mm.

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Answer:

(7,6)

Step-by-step explanation:

plz mark as brainliest if it helps

Prime polynomials cannot be factorized in smaller degree polynomials. The prime polynomials out of the considered option are:

Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called prime polynomial.

(it is necessary that no factors exists having their coefficients are still integers and they're of lower degree)

Checking all the options for them being prime or not:

Take \((x+a)(x+b) = x^2 + 9\)

Then, expanding it gives:

\(x^2 + (a+b)x + ab = x^2 + 9 \implies a+b = 0, ab = 9\)

or we get: \(a = -b, ab = -b^2 = 9, b^2 = -9\)

Square of a real number doesn't exist, so this factor doesn't exist. Thus, it is prime polynomial.

We have the identity \((a+b)(a-b) = a^2 - b^2\)

and since 9 is square of 3, therefore, we get:

\(x^2 -9 = x^2 -3^2 = (x+3)(x-3)\)

So it got factorized. Thus, not a prime polynomial.

Take \((x+a)(x+b) = x^2 + 3x + 9\)

Then, expanding it gives:

\(x^2 + (a+b)x + ab = x^2 + 3x + 9 \implies a+b = 3, ab = 9\)

That gives:

\(a = 3-b\\ab = b(3-b) = 3b - b^2 = 9\\b^2 -3b + 9 = 0\)

Solving this quadratic equation by root formula gives:

\(b = \dfrac{-(-3) \pm \sqrt{(-3)^2 -4(1)(9)} }{2}\\\\b = \dfrac{-(-3) \pm \sqrt{-27} }{2}\\\)

this makes 'b' a complex number and it doesn't remain a real number as its expression contains square root of a negative number.

Thus, this polynomial cannot be factorized in terms of smaller degree polynomials. Thus, its a prime polynomial.

Taking -2 common out, we get:

\(-2(x^2 - 4) = -2(x^2 - 2^2) = -2(x-2)(x+2)\)

Thus, it got factorized, and therefore not a prime polynomial.

Thus, the prime polynomials out of the considered option are:

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Answer:

A) x2 + 9

C) x2 + 3x + 9

☆
EDGE2022; Good Luck :D!!!

Answer: 8 (I might have gotten it wrong tho) could be -8 too btw.

Step-by-step explanation:

42x9=378 and 9x4=36. 9x30=270 so that would make the equation 378-36=270-9(_). Simplified a bit more would be 342=270-9(_). Now subtract 270 from both sides you get 72=9(_) so it would be 8. Sorry if I’m wrong tho.

Answer:

9(42) - 9(4) = 9(30) - 9(-8)

Step-by-step explanation:

9(42 - 4) = 9(38)

9[30 - (-8)] = 9(38) because of rules of subtracting integers is:

Two like signs become a positive sign

Example:

3+(+2) = 3 + 2 = 5

6−(−3) = 6 + 3 = 9

Two unlike signs become a negative sign

Example:

7+(−2) = 7 − 2 = 5

8−(+2) = 8 − 2 = 6

Answer: 878

Step-by-step explanation:

sorry i dont know

The quotient of a number and four increased by three.

Have a good afternoon!!!!

Step-by-step explanation:

it clearly consists of 2 rectangles and 1 triangle (as you tried correctly to point out by drawing the separating lines).

we only need to calculate all 3 areas and add them up for the total.

the area of a rectangle is

length × width

so, in our 2 cases we have

6 × 2 = 12 km²

5 × (3 + 2 + 3) = 5×8 = 40 km²

the area of a triangle is

baseline × height / 2

in case of a right-angled triangle the 2 sides enclosing the 90° angle can be used as baseline and height.

so, in our case

6 × (5 + 2 + (3 + 2 + 3 - 2)) / 2 = 6×(7 + 6)/2 = 3×13 = 39 km²

in total, the whole area is

12 + 40 + 39 = 91 km²

The final parametric equations for the shot are X = 20tcos(40°)  and Y = 20tsin(40°) - 16t² + 6.

Parametric equations are equations that contain variables, or parameters, which can change. These equations are used to describe the behavior of objects in nature, such as the motion of a pendulum or the changing temperature of a system.

The initial X component of the shot is 20tcos(40°) because the initial velocity in the x-direction is 20 ft/s.
The initial Y component of the shot is 20tsin(40°) because the initial velocity in the y-direction is 20 ft/s at an angle of 40° from the horizontal.
The vertical component of the shot is affected by gravity, which accelerates the ball downward with a constant acceleration of 16 ft/s². Therefore, the equation of motion in the vertical direction is -16t².
Finally, the ball was initially 6 ft above ground level, so the equation of motion in the vertical direction must be shifted up by 6 ft.
Therefore, the final parametric equations for the shot are:
X = 20tcos(40°)

Y = 20tsin(40°) - 16t² + 6.

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Answer:

2.25 mi

Step-by-step explanation:

9514 1404 393

Answer:

  3/40 hours

Step-by-step explanation:

To find hours per mile, divide hours by miles.

  (1/10 hour)/(4/3 mi) = (1/10)(3/4) hour/mi = 3/40 hour/mi

At the given rate, it takes 3/40 hours for Lauren to bike 1 mile.

The total time taken for the balls to collide is 4.64 seconds, and the height at which the balls collided is 39.7 meters  .

To evaluate this system of equations, we have to calculate the time it takes for the balls to collide and the height at which they collide
To search the time it takes for the balls to collide, we need to set ff(t) equal to g(t) and evaluate for t.
45-5(t - 3)² = 45-5(t-1)²
Applying simplification the equation
5t² - 20t + 18 = 0
Applying the quadratic formula
t = (20 ± √(20² - 4(5)(18))) / (2(5))
t = (20 ± √(280)) / 10
t = (20 ± 2√(70)) / 10
t = 2 ± √(70) seconds
Hence, the time it takes for the balls to collide is approximately 4.64 seconds.
To evaluate the height at which the balls collide, we can substitute t into either equation.
Applying ff(t)
ff(2 + √(70)) = 45 - 5((2 + √(70)) - 3)²
ff(2 + √(70)) = 45 - 5(√(70) - 1)²
ff(2 + √(70)) ≈ 39.7 meters
Hence, the balls collide at a height of approximately 39.7 meters.
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Answer:

add

Step-by-step explanation:

By percentage, a passive home construction is typically around 50% more expensive compared to a conventional home construction.

A passive home construction is generally more expensive compared to a conventional home construction due to several factors. Passive homes are designed to meet stringent energy efficiency standards, requiring specialized materials, insulation, ventilation systems, and high-performance windows and doors. These energy-saving features contribute to the increased cost of construction. Additionally, passive homes often incorporate advanced technologies like heat recovery systems and solar panels, further adding to the expenses.

However, it's important to note that while the initial construction costs of a passive home may be higher, the long-term energy savings and reduced operating costs can offset the higher upfront investment. Passive homes offer improved energy efficiency, better indoor comfort, and reduced environmental impact, making them a viable choice for those seeking sustainable and energy-efficient housing solutions.

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Step-by-step explanation:

50, 278, 976, 6866, 68, 48.77, 68 1/9

Answer:

The correct answer is B

Hope this helps

So, the number of students in Band, Art, Music and Journalism are 2n, 7n+6, 4n-2 and 2(4n+6) respectively.

Since the number of students enrolled in Art and Music is equal to the number of students enrolled in Band and Journalism, we have the equation

7n + 6 + (4n-2) = 2n + 2(4n+6).

We now expand the brackets :
7n + 6 + 4n - 2 = 2n + 8n + 12
-> 11n + 4 = 10n + 12
-> 11n + 4 - 10n - 12 = 0
-> n - 8 = 0
-> n = 8.

Therefore, the number of students that enrolled in :
Band : 2n = 16 students.
Art : 7n + 6 = 62 students.
Music : 4n - 2 = 30 students.
Journalism : 8n + 12 = 76 students.

76 = 16 = 62 + 30 = 92, satisfying the requirement.

Answer:

Shelly can be a CrossFit member is 8 Months

($60-900) / $120 = Months

Step-by-step explanation:

Joining the gym costs 60$ so that would be your first month, it then costs $120 every month after. So we would start by subtracting $60 from the total $900

$60 - $900 = $840

Next you would divide your remaning money ($840) by the amount of money it cost per month ($120).

$840 / $120 = 7 Months

7 months plus the Enitial Month

The total number of months that Shelly can be a CrossFit member is 8 Months.

Answer:

38,000+500=v

Step-by-step explanation:

Answer:

v = 38,000 - 500m

Step-by-step explanation:

For each month you take 500 off, so -500m.

‘The starting value is 38,000 so it’s

v = 38,000 - 500m

:)

Answer:

The different ways a football team cold score 63 points are by having;

1) 3 touchdowns and 14 field goals

2) 6 touchdowns and 7 field goals

Step-by-step explanation:

The given parameters are;

The worth of each touchdown = 7 point

The worth of each field goal = 3 points

The number of touch down ≥ 1

The number of field goals ≥ 1

Let x represent the number of touchdowns and let y represent the number of field goals, we have;

7·x + 3·y = 63...(1)

x + y ≥ 2...(1)

Making y the subject of the equation, 7·x + 3·y = 63, gives;

3·y = 63 - 7·x

y = 21 - (7/3)·x

Making y the subject of the inequality, x + y ≥ 2, gives;

y ≥ 2 - x

From the attached graph created with Microsoft Excel, we have the points where x ≥ 1, that have a whole number value of y ≥ 0 as follows;

1) When x = 3, y = 14 gives 7×3 + 3×14 = 63

2) When x = 6, y = 7 gives 7×6 + 3×7 = 63

Therefore, the different ways a football team cold score 63 points are;

1) 3 touchdowns and 14 field goals

2) 6 touchdowns and 7 field goals.

Answer:

63 points

1) 3 touchdowns and 14 field goals

2) 6 touchdowns and 7 field goals

Answer: 15 mL

Step-by-step explanation:

Before the stone the reading was 180 mL

When the stone was added the reading rose to 195 mL

So, we subtract them both, this will give us the volume of the stone

195 mL - 180 mL = 15 mL

 180 mL of water in a measuring cylinder and then added a stone, The reading is now 195 mL, the volume of the stone is, 15 ml

In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within a closed region of every three dimensional object.

Given that,

water in a measuring cylinder = 180 ml

Then, a stone added

The reading =  195 mL

Now, increased volume = 195 - 180

                                        = 15

Volume of stone =  Increased volume

Therefore, Volume of stone is 15 ml

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Parallel lines have the same slopes.

So if line s has a slope of -3/2, line t also has a slope of -3/2.

A collection of six objects can be chosen from one of 120 possibilities. These six configurations comprise BDF, BFD, DBF, DFB, FBD, and FDB.

A permutation is what? The number of possible arrangements for a given set is calculated mathematically, and this process is known as permutation. Simply said, a mutation is a term that refers to the variety of possible arrangements or orders. The arrangement's order is important when using permutations.

Out of the six things A, B, C, D, E, and F, rotations of items B, D, and F (a total of three items) must be listed.

Simply said, we must find every configuration for these three elements.

The three objects can be placed in three ways, which equals (3x2x1) ways, or six.

These six configurations are BDF, BFD, DBF, DFB, FBD, and FDB.

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