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3 years ago

The quotient of negative eight and the sum of a number and three

1 answer:

6 0

For this case, the first thing we must do is define a variable.
We have then:
x: real number
Now we write the expression:
-8 / (x + 3)
The number x can be all real different from minus three.
Answer:
-8 / (x + 3)
With x different from -3.

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The following are the number of sales which a sample of 9 car salespeople of an insurance company in Florida and a sample of 8 s

Montano1993 [528]

Answer:

There is no difference in the number of sales between The Florida salespeople and Washington salespeople

Sp^2 = 39

Step-by-step explanation:

Given data :

Florida: 39, 44, 42, 50, 55, 48, 51, 38, 54

Washington: 42, 43, 56, 50, 49, 52, 53, 56

number of sales persons in Florida = 9

number of sales persons in Washington = 8

variance = constant

a)Determine if there is difference between the Florida salespeople and Washington salespeople

we will carry out a two tailed test based on the given data

H0 : u1 = u2

H1 : u1 ≠ u2

x ( mean ) = 46.77, y ( mean ) = 50.13 ,

s1^2 = 39.69, s2^2 = 28.41, n1 = 9 , n2 = 8

therefore :

Sp^2 = $\frac{n1s1^2 + n2s2^2}{n1 + n2-2}$ = 38.96 ≈ 39

performing test statistic

t = $\frac{x- y }{sp\sqrt{\frac{1}{n1} +\frac{1}{n2} } }$ = $\frac{-3.36}{3.0330}$ = -1.1078

critical value is at t = 0.05 and for a two tailed test it is at 2.13 therefore e accept H0 at 5% . This shows that there is no difference in sales

5 0

3 years ago

What is the y-intercept of the quadratic function f(x)=(x-6)(x-2)?

I am Lyosha [343]

Answer: (0,12)

Step-by-step explanation:

8 0

3 years ago

Just need to know the answer thanks

enyata [817]

A) x=3 x=2
b) x=-8 x=-2

6 0

3 years ago

Read 2 more answers

The area of a square game court is 144 square feet. How long is the side of the court?

Veronika [31]

Answer:

12 feet

Step-by-step explanation:

Since the side length is a length, it will be positive and not negative, so we solve this equation for s by taking the positive square root of both sides of the equation. We get that s = 12, so the side length of a square with an area of 144 square feet is 12 feet.While -12 is "a square root" of 144, the square root operation here denotes a function from nonnegative real numbers to nonnegative real numbers. A function can only produce a single result. So the expression √144 evaluates to the positive root 12.Because one square foot is 144 square inches, divide the total number of square inches by 144.

Hope that was helpful.Thank you!!!

7 0

3 years ago

Find the form of the general solution of y^(4)(x) - n^2y''(x)=g(x)

Dennis_Churaev [7]

The differential equation

$y^{(4)}-n^2y'' = g(x)$

has characteristic equation

r ⁴ - n ² r ² = r ² (r ² - n ²) = r ² (r - n) (r + n) = 0

with roots r = 0 (multiplicity 2), r = -1, and r = 1, so the characteristic solution is

$y_c=C_1+C_2x+C_3e^{-nx}+C_4e^{nx}$

For the non-homogeneous equation, reduce the order by substituting u(x) = y''(x), so that u''(x) is the 4th derivative of y, and

$u''-n^2u = g(x)$

Solve for u by using the method of variation of parameters. Note that the characteristic equation now only admits the two exponential solutions found earlier; I denote them by u₁ and u₂. Now we look for a particular solution of the form

$u_p = u_1z_1 + u_2z_2$