While using cruise control, ____

Ray made an error while solving the following equation. In which step did ray make an error?

raketka [301]

He made an error is step 2

3x + 18 = 2x +8

subtract 2x from each side

x + 18 = 8

7 0

2 years ago

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If ce = 7x+4, find the value of x

Alex787 [66]

Hey there,

To find the value of x we can take the two, CD or DE and set them equal to CE.

First step is set the lines equal to each other:

x + 3 + 8x - 9 = 7x + 4

Now we combine like terms:

9x - 6 = 7x + 4

Then we subtract 7x from both sides:

2x - 6 = 4

Add 6 to both sides:

2x = 10

Lastly we divide both sides by 2:

x = 5

So the value of x would have to be 5.

Hope I helped,

Amna

7 0

2 years ago

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Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well

laiz [17]

Answer:

The value is $P(A) = 0.133617$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 7.5$

The standard deviation is $\sigma = 0.2$

The safest water level is between 7.2 and 7.8

Generally the probability that the selected pool has a pH level that is not considered safe is mathematically represented as

$P(A) = 1 - P(7.2 \le X \le 7.8 )$

Here

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - \mu }{\sigma } < \frac{X - \mu }{ \sigma }$

Generally $\frac{X - \mu }{ \sigma } = Z (The \ standardized \ value \ of X )$

So

$P(7.2 < X < 7.8 ) = P(\frac{ 7.2 - 7.5 }{0.2 } < Z$

$P(7.2 < X < 7.8 ) = P(-1.5 < Z$

=> $P(7.2 < X < 7.8 ) = P(Z < 1.5) - P( Z < - 1.5)$

From the z-table the probability of (Z < -1.5) and ( Z <1.5) are

$P(Z < 1.5) = 0.93319$

and

$P(Z < -1.5) = 0.066807$

So

$P(7.2 < X < 7.8 ) =0.93319 - 0.066807$

$P(7.2 < X < 7.8 ) =0.0866383$

So

$P(A) = 1 - 0.0866383$

=> $P(A) = 0.133617$

5 0

2 years ago

The polynomial function f(x)=-x^3+x^2+14x-24 has zeros at x=-4, x=3, and x=2. Which of the following graphs represents the funct

weqwewe [10]

Answer:

Assuming the choices are only of C and D, D would be the graph of the function.

Step-by-step explanation:

There are many things that would cause D to be the graph of f(x).

Firstly, D has the end behavior of a $-x^{3}$ function.

Secondly, it has correct zeroes

Lastly, Its y-intercept is -24, which is the case of the function f(x) as

$f(0) = -24$

6 0

2 years ago

Which statements about the factors of the terms in the expression 20 a + 15 a b + 24 b are true? Select three options.

ExtremeBDS [4]

Answer:

Following are the true statements

2. The factors common to 20a and 15ab are 1, 5, and a.

3. The factors common to 20a and 24b are 1, 2, and 4.

5. The GCF of the expression is 1

Step-by-step explanation:

Expression is 20a + 15ab + 24b

Now lets have a look at each of the options provided!

1. The factors common to 20a and 15ab are 1, 5, a, and b.

False

As you can see there is no b in 20a term only 1,5,a are common hence it is false.

2. The factors common to 20a and 15ab are 1, 5, and a.

True

The terms 20a and 15ab are divisible by 1,5,a hence it is true.

3. The factors common to 20a and 24b are 1, 2, and 4.

True

The terms 20a and 24b are divisible by 1,2,4 hence it is true

4. The GCF of the expression is ab.

False

20a + 15ab + 24b

As you can see ab is not common in all of the terms hence it cannot be greatest common factor

5. The GCF of the expression is 1

True

Factor of 20 are: 2,2,5,1

Factor of 15 are: 3,5,1

Factor of 24 are: 2,2,2,3,1

As you can see the only common factor among all the terms is 1 hence GCF is 1.

5 0

2 years ago

While using cruise control, _____.