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kicyunya [14]
2 years ago
10

A driver receives -25 points for each rule violation. What integer represents the change in points after 4 rule violations?

Mathematics
2 answers:
notka56 [123]2 years ago
6 0
The integer is -100. 

-25*4 = -100
Aleksandr-060686 [28]2 years ago
5 0
Yep. -25 x 4 = -100. correct
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The frequency distribution below represents the rents of 250 randomly selected federally subsidized apartments in Washington D.C
Naily [24]

Answer:

92%

Step-by-step explanation:

The percentage of apartments rented for less than $600 is given by the sum of all of the apartments in the 300 to 400, 400 to 500 and 500 to 600 intervals divided by the total number of apartments sampled (250).

P(X

92% of the apartments rented for less than $600.

5 0
2 years ago
Suppose an automobile manufacturer designed a radically new lightweight engine and wants to recommend the grade of gasoline that
Deffense [45]

Answer:

The F-statistic used to test the hypothesis that the miles per gallon for each fuel are the same is 4.07.

Step-by-step explanation:

There are four treatments in the data given, i.e. k = 4.

Total number of observations, n = 12.

Note: degrees of freedom is denoted as df.

For treatment, the degrees of freedom = k-1 = 4-1 =3 df.

The total degrees of freedom = n-1 = 12-1 = 11 df.

The error in degrees of freedom = df (total) - df(treatment)

The error in degrees of freedom = 11 - 3 = 8 df

At α = 0.05 level,from the F table, the F-statistic with (3 , 8)df is 4.07.

Therefore, the F-statistic used to test the hypothesis that the miles per gallon for each fuel are the same is 4.07.

8 0
2 years ago
The number that is x more than 2x+1
polet [3.4K]

Answer:-1

Step-by-step explanation:x>2x+1=x-2x>1

-x>1,x<- 1

7 0
2 years ago
Read 2 more answers
What are the solutions of the equation 9x4 – 2x2 – 7 = 0? Use u substitution to solve. tions of the equation 9
skelet666 [1.2K]

Answer:

Step-by-step explanation:

Let u^2=x^4\\u = x^2

Subbing in:

9u^2-2u-7=0

a = 9, b = -2, c = -7

The product of a and c is the aboslute value of -63, so a*c = 63.  We need 2 factors of 63 that will add to give us -2.  The factors of 63 are {1, 63}, (3, 21}, {7, 9}.  It looks like the combination of -9 and +7 will work because -9 + 7 = -2.  Plug in accordingly:

9u^2-9u+7u-7=0

Group together in groups of 2:

(9u^2-9u)+(7u-7)=0

Now factor out what's common within each set of parenthesis:

9u(u-1)+7(u-1)=0

We know this combination "works" because the terms inside the parenthesis are identical.  We can now factor those out and what's left goes together in another set of parenthesis:

(u-1)(9u+7)=0

Remember that u=x^2

so we sub back in and continue to factor.  This was originally a fourth degree polynomial; that means we have 4 solutions.

(x^2-1)(9x^2+7)=0

The first two solutions are found withing the first set of parenthesis and the second two are found in other set of parenthesis.  Factoring (x^2-1) gives us that x = 1 and -1.  The other set is a bit more tricky.  If

9x^2+7=0 then

9x^2=-7 and

x^2=-\frac{7}{9}

You cannot take the square root of a negative number without allowing for the imaginary component, i, so we do that:

x=±\sqrt{-\frac{7}{9} }

which will simplify down to

x=±\frac{\sqrt{7} }{3}i

Those are the 4 solutions to the quartic equation.

5 0
2 years ago
Given the function f(x) = −5x2 − x + 20, find f(3). −28 −13 62 64
Katyanochek1 [597]

Answer:

Option (a) is correct.

The value of given function  f(x)=-5x^2-x+20 at x = 3 is -28

Step-by-step explanation:

Given : Function f(x)=-5x^2-x+20

We have to find the value of given function at x = 3

Consider the given function  f(x)=-5x^2-x+20

Since, we have tof ind the value of function at x = 3

Put x = 3 in given function f(x)

f(3)=-5(3)^2-(3)+20

Simplify, we have,

f(x)=-45-3+20=-28

Thus,  the value of given function  f(x)=-5x^2-x+20 at x = 3 is -28

5 0
2 years ago
Read 2 more answers
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