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2 years ago

Fill in the blanks to explain.

Mathematics

1 answer:

scZoUnD [109]2 years ago

4 0

Answer:

x < -4

is not

unfilled

less

left

does not

Step-by-step explanation:

Imagine that as x goes toward infinity, the temperature gets warmer, and as x goes toward negative infinity, the temperature gets colder. It says that the daily high temperature is colder than -4, which means that the arrow will point to the left. Since it is colder than -4, -4 is not included, and the point should remain unfilled. Looking back at Charlotte's graph, we can see that it does not accurately represent the problem.

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Consider the 20 points of a 4×5 grid. You randomly choose two points from the 20 points. What is the probability that the two po

Serhud [2]

Answer:

The probability of both points falling in the same row or column is 7/19, or approximately 37%

Step-by-step explanation:

The easiest way to solve this is to think of it rephrased as "what is the probability that your second point will be in the same row or column as your first point". With that frame of reference, you can simply consider how many other points are left that do or do not fall in line with the selected one.

After selecting one, there are 19 points left.

The row that the first one falls in will have 3 remaining empty points.

The column will have 4 remaining empty points.

Add those up and you have 7 possible points that meet the conditions being checked.

So the probability of both points falling in the same row or column is 7/19, or approximately 37%

6 0

3 years ago

The function below is written in vertex form or intercept form. Rewrite them in standard form and show your work.

lora16 [44]

Answer:

The standard form as $y=5x^2+30x+41$

Step-by-step explanation:

Given: A function which is written in vertex form or intercept form.

We have to re-write it in standard form that in terms of

Given $y = 5(x+3)^2-4$

Squaring using $(a+b)^2=a^2+b^2+2ab$ , we get,

$y=5(x^2+9+6x)-4$

Multiply 5 inside , we get,

$y=5x^2+45+30x-4$

Solving further , we get,

$y=5x^2+30x+41$

Thus , we have obtained the standard form as $y=5x^2+30x+41$

8 0

3 years ago

Read 2 more answers

15 percent converted to a simply fractin work it a out if your gonna answer

Elza [17]

All percents are out of 100 so start with 15/100 and then simplify

3/20

5 0

4 years ago

Trials in an experiment with a polygraph include 97 results that include 23 cases of wrong results and 74 cases of correct resul

o-na [289]

Answer:

H0:p= 0.80 H1: p< 0.80 one tailed test

Step-by-step explanation:

We state the null and alternative hypotheses as that the results are 80 % against the claim that the results are less than 80%.

H0:p= 0.80 H1: p< 0.80 one tailed test

p2= 0.8 , p1= 74/97= 0.763

q1= 1-0.763= 0.237 q2= 0.2

The level of significance is 0.05 .

The Z∝= ±1.645 for ∝= 0.05

The test statistic used here is

Z= p1-p2/ √pq/n

Putting the values:

Z= 0.763 -0.8 / √ 0.8*0.2/97

z= -0.037/ 0.0406

z= -0.9113

The Z∝ = ±1.645 for ∝= 0.05 for one tailed test.

As the calculated value does not fall in the critical region we fail to reject the null hypothesis. There is not sufficient evidence to support the claim that such polygraph results are correct less than 80% of the time.

Using the normal probability table.

P (Z < -0.9113)= 1- P(z= 0.9311) = 1- 0.8238= 0.1762

If P- value is smaller than the significance level reject H0.

0.1762> 0.005 Fail to reject H0.

8 0

4 years ago

If f(x) = 2x2 + 1 and g(x) = x2 - 7, find (f + g)(x).

pishuonlain [190]

Answer:

(f+g)(x) = $3x^{2} - 6$

Step-by-step explanation:

First, lets understand what (f+g)(x) means.

(f+g)(x) is when you are taking the values in the function f(x) and adding it to the values in the function g(x).

So, this is what the equation looks like when you substitute the functions in to (f+g)(x):

(f+g)(x) = $(2x^{2} +1) + (x^{2} -7)$

Now, combine like terms and Simplify:

(f+g)(x) = $3x^{2} - 6$

This is your final answer.

7 0

4 years ago