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leonid [27]
3 years ago
9

7. If a set of data points has a trend line of y = 4.2x - 3, what is the predicted value of x when

Mathematics
1 answer:
elixir [45]3 years ago
8 0

Answer:

The predicted value of x = 2

Step-by-step explanation:

y = 4.2x - 3 is the given equation.

Now, y = 5.4

Putting in the above equation, we get

5.4 = 4.2x - 3

or, 5.4 + 3 = 4.2x

or, 8.4 = 4.2 x

⇒ x  = 8.4/4.2

⇒ x = 2

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What is the total length of the tadpoles that are 1/8-inch and 1/4-inch long?
nasty-shy [4]

The dot plot shows the frequency or length of the tadpoles

The total length of the tadpoles that are 1/8-inch and 1/4-inch long is 7/8 inches

<h3>How to determine the total length?</h3>

From the dot plot, we have the following parameters:

  • 3 tadpoles have a length of 1/8
  • 2 tadpoles have a length of 1/4

So, the total length is:

Total = 3 * 1/8 + 2 * 1/4

Evaluate the product

Total = 3/8 + 1/2

Rewrite as;

Total = 3/8 + 4/8

Evaluate the sum

Total = 7/8

Hence, the total length of the tadpoles that are 1/8-inch and 1/4-inch long is 7/8 inches

Read more about dotplots at:

brainly.com/question/24309209

4 0
2 years ago
What is the value of the 8 in the number 2.387
tamaranim1 [39]

Answer:

Step-by-step explanation:

If the point represents decimal, the position of number 8 is  

hundredth.

But if  represents Thousands the position of number 8  is  

tens

6 0
3 years ago
Read 2 more answers
F:[1/2,infinity)—&gt;[3/4,infinity) <br> f(x)=x^2-x+1 <br> find the inverse of f(x);please explain
dexar [7]

Answer:

f^{-1}(x)=\frac{1}{2}+\sqrt{x-\frac{3}{4}}

Step-by-step explanation:

y=x^2-x+1

We want to solve for x.

I'm going to use completing the square.

Subtract 1 on both sides:

y-1=x^2-x

Add (-1/2)^2 on both sides:

y-1+(-1/2)^2=x^2-x+(-1/2)^2

This allows me to write the right hand side as a square.

y-1+1/4=(x-1/2)^2

y-3/4=(x-1/2)^2

Now remember we are solving for x so now we square root both sides:

\pm \sqrt{y-3/4}=x-1/2

The problem said the domain was 1/2 to infinity and the range was 3/4 to infinity.

This is only the right side of the parabola because of the domain restriction. We want x-1/2 to be positive.

That is we want:

\sqrt{y-3/4}=x-1/2

Add 1/2 on both sides:

1/2+\sqrt{y-3/4}=x

The last step is to switch x and y:

1/2+\sqrt{x-3/4}=y

y=1/2+\sqrt{x-3/4}

f^{-1}(x)=1/2+\sqrt{x-3/4}

8 0
3 years ago
Find two numbers whose difference is 12 and whose sum is 40
riadik2000 [5.3K]
Your answer is going to be 26 and 14, because 26+14=40, and 26-14=12.:)
5 0
3 years ago
There are 1 1/2 cups of flour and 2 eggs. How would you write the ratio that compares the cups of flour to eggs?
MArishka [77]

Answer:

1 1/2 to 2

Step-by-step explanation:

4 0
3 years ago
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