What is the median of this set of data?
32,36,38,39,42

Answer:

-4 and 1

Step-by-step explanation:

-4 times 1 equals -4 and then -4 plus 1 equals 3

The two numbers that satisfy the given conditions are 4 and -1. They multiply to -4 and add up to 3.

To find two numbers that satisfy the given conditions, we can set up a system of equations.

Let's assume the two numbers are represented by 'x' and 'y'. We know that their product is -4 and their sum is 3, so we can write the following equations:

xy = -4 (Equation 1)

x + y = 3 (Equation 2)

To solve this system of equations, we can use the substitution or elimination method. Let's use the substitution method.

From Equation 2, we can express y in terms of x: y = 3 - x.

Substituting this into Equation 1, we get:

x(3 - x) = -4

Expanding and rearranging the equation, we have:

3x - x² = -4

Rearranging again, we get a quadratic equation:

x² - 3x - 4 = 0

We can factor this equation:

(x - 4)(x + 1) = 0

Setting each factor to zero, we find two possible solutions for x:

x - 4 = 0 --> x = 4

x + 1 = 0 --> x = -1

Now, we can substitute these values of x back into Equation 2 to find the corresponding values of y:

For x = 4: y = 3 - 4 = -1

For x = -1: y = 3 - (-1) = 4

Therefore, the two numbers that satisfy the given conditions are 4 and -1. They multiply to -4 and add up to 3.

To learn more about the system of equations;

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Answer:

Pizza Uno offers $5.25 for a small pizza and Pizza Duo offers $5.60 for a small pizza.

Step-by-step explanation:

For Pizza Uno:

For pizza Duo: (the "%" is actually 3/4)

Answer:

-3

Step-by-step explanation:

To get the slope of the line tangent to the function y = 6 - 3x

First, we need to differentiate;

dy/dx = 0 -3x^{1-1}

dy/dx = 0 - 3x^0

dy/dx = 0 - 3

dy/dx = -3

Hence the slope of the line tangent to the function at the point is -3

Answer:

6

Step-by-step explanation:

385/65= about 6 but technically its like 5.92307...

Step-by-step explanation:

Price of glove with tax = 385

Money saved per month = 65

Months needed for Derek to save enough money

= 385/65

= 5.923 months

Answer:

Approximately 10.5, or 10.5095541.

Step-by-step explanation:

To find the radius given the circumference of a circle, we first have to divide the circumference by pi, or an estimation of 3.14. This will give us the diameter.

Since we know that the radius of a circle is simply half the diameter, we divide the number we got from the problem above by 2. This will give you your answer!

Answer:

r = 10.50

Step-by-step explanation:

Circumference =

[tex]2\pi \: r[/tex]

[tex] 66 = 2\pi \: r[/tex]

[tex] \frac{66}{2\pi} = r[/tex]

r = 10.5

Answer:

Always, always.

1/4 = 0.25 is the largest value..

It is right answer....

Answer:

$15 per hour

Step-by-step explanation:

30 hours per week x 52 weeks in a year = 1560 hours per year

23,400 / 1560 = $15 per hour

Answer:

x = 5

Step-by-step explanation:

I didn't quite understand what you were asking but x should equal 5

Answer: 1 is the answer because nothing time _ will equal 5 but 1 times anything equal that number So its 1

Answer:

2 doctors to 9 patients

Step-by-step explanation:

Divide each by 3. They cant be simplified more.

Answer: 1) V≈1244.07 in             2) V≈54286.72 ft         3) V≈23816.41 yd

Step-by-step explanation:

Answer:

Step-by-step explanation:

let a number be x

let another number be x+1

x+x+1=20

2x=20-1

x=19/2

x=9.5

therefore one number is 9.5 and another number is x+1=9.5+1=10.5

[tex]\huge{ \mathrm{  \underline{ Answer} \:  \:  ✓ }}[/tex]

Let the Consecutive odd numbers be x and x+2

Therefore, the numbers are :

______________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

Yes

Step-by-step explanation:

The base of both the cylinder and Circle are both circles.

Answer:

Step-by-step explanation:3/5 of the pizza

Answer:

It's Cos.

Hope this helps

Answer:

$1,298.12

Step-by-step explanation:

there are 1564 hundreds in 156,400

so 1564 x .83 = 1298.12

Answer:

2.

Step-by-step explanation:

2. because 3(x+4) if we distribute 3 in parenthesis we have 3x+12

Answer:

3 beause when you dividend it -5.6+4(3) .

Answer:

a) 0.2981 = 29.81% probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.

b) 0.999 = 99.9% probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes

c) 0.2971 = 29.71% probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean of 8.9 minutes and a standard deviation of 2.9 minutes.

This means that [tex]\mu = 8.9, \sigma = 2.9[/tex]

Sample of 37:

This means that [tex]n = 37, s = \frac{2.9}{\sqrt{37}}[/tex]

(a) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes?

320/37 = 8.64865

Sample mean below 8.64865, which is the p-value of Z when X = 8.64865. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{8.64865 - 8.9}{\frac{2.9}{\sqrt{37}}}[/tex]

[tex]Z = -0.53[/tex]

[tex]Z = -0.53[/tex] has a p-value of 0.2981

0.2981 = 29.81% probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.

(b) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes?

275/37 = 7.4324

Sample mean above 7.4324, which is 1 subtracted by the p-value of Z when X = 7.4324. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{7.4324 - 8.9}{\frac{2.9}{\sqrt{37}}}[/tex]

[tex]Z = -3.08[/tex]

[tex]Z = -3.08[/tex] has a p-value of 0.001

1 - 0.001 = 0.999

0.999 = 99.9% probability that for 37 jets on a given runway, total taxi and takeoff time will be more than 275 minutes.

(c) What is the probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes?

Sample mean between 7.4324 minutes and 8.64865 minutes, which is the p-value of Z when X = 8.64865 subtracted by the p-value of Z when X = 7.4324. So

0.2981 - 0.0010 = 0.2971

0.2971 = 29.71% probability that for 37 jets on a given runway, total taxi and takeoff time will be between 275 and 320 minutes

Answer:

False

Step-by-step explanation:

an obtuse triangle maybe isosceles or scalene

Answer:

20 ways

Step-by-step explanation:

by using combination rule :

6C3 = 6! /(3! × 3!)

= 6×5×4×3! / 3! × 3×2×1

= 20 ways

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

Explanation:

Order matters because we want to distinguish between first place, second place, and third place winners. So something like ABC is different from BCA.

We have 6 ways to pick a first place winner, then 5 for second place, then 4 for third place. Overall, there are 6*5*4 = 30*4 = 120 permutations

You could use the nPr formula with n = 6 and r = 3 as an alternative method

[tex]_n P _r = \frac{n!}{(n-r)!}[/tex]

The exclamation marks indicate a factorial.

Answer:

14/100*1800

25200/100

252

Step-by-step explanation:

therefore vat=252

Answer:

y = 5 sin (2x) + 4

Step-by-step explanation:

this is sines function,

the amplitude is [9 - (-1)]/2 = 10/2 = 5

the period is 2πx/π = 2x

the x-axis of actual function is at y = 4

so, the function is :

y = 5 sin (2x) + 4

Answer:

[tex] \tan(A) = \frac{opp}{adj} \\ \tan(A) = \frac{ \sqrt{72} }{3} \\ \tan(A) = \frac{ \sqrt{36 \times 2} }{3} \\ \tan(A) = \frac{6 \sqrt{2} }{3} \\ \tan(A) = 2 \sqrt{2} [/tex]

Answer:

It is closer to 7,000 than 8,000

Answer:

D.6,600 ft

Step-by-step explanation:

I hope it helps

THE CORRECT OPTION IS A where the input data is correct

Answer:

option 3

Step-by-step explanation:

[tex]AX = B\\X = A^{-1}B\\\\A = \left[\begin{array}{CC}\\2&5\\1&3\end{array}\right]\\\\\\B =\left[\begin{array}{C}\\15&18\end{array}\right]\\\\\\X =\left[\begin{array}{C}\\x&y\end{array}\right][/tex]

[tex]det A = 1\\\\adj A = \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right][/tex]

[tex]A^{-1} = \frac{1}{det A} \times Adj A[/tex]

      [tex]= 1 \times \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]\\\\\\= \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right][/tex]

Therefore,

      [tex]X = A^{-1}B\\\\\\\left[\begin{array}{C}\\x&y\end{array}\right] = \left[\begin{array}{CC}\\3&-5\\-1&2\end{array}\right]\left[\begin{array}{C}\\15&18\end{array}\right]\\\\\\[/tex]

Answer:

9.04

Step-by-step explanation:

tan 37 = x/12

0.7536 x 12= x

x = 9.04