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3 years ago

Finding the Vertex What is the vertex of the quadratic function f(-x) = (x - 3)(x - 2)?

1 answer:

7 0

The vertex is -0.25
Explanation: I have a Casio fx-9750Gll. I pressed menu and clicked on graph. i then typed in the equation and pressed EXE(which is enter). then, i pressed f5(G-Solv) and that gives you two options, Max or Min. you can look at the graph to determine which one it is. but i pressed f3(V-Window) which was the option Min and it gave me (2.5,-0.25) so the answer is -0.25

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Draw a line representing the "run" and a line representing the "rise" of the line. State the slope of the line in simplest form.

Igoryamba

Answer:

The answer is " $\bold{\frac{9}{13}}$ "

Step-by-step explanation:

In this question, the image file is missing, which is defined in the attached file. please find it.

$\to raise= y_2-y_1$

$=-1-(-10)\\\\=-1+10\\\\=9$

$\to run= x_2-x_1$

$=9-(-4)\\\\=9+4\\\\=13$

$\to \text{formula for slope} =\frac{rise}{run} =\frac{9}{13}$

7 0

2 years ago

A penny has a mass of 3 grams. what is the mass in grams of 8 pennies ?

lawyer [7]

Multiply
3x8
=24 Grams

8 0

3 years ago

Read 2 more answers

Write 18 out of 30 as a fraction in its simplest form.

vlabodo [156]

Answer:

d). 3/5.

Step-by-step explanation:

The greatest common factor of 18 and 30 is 6, so we divide top and bottom of the fraction by 6:

18/30

= (18/6) / (30/6)

= 3/5.

6 0

3 years ago

7/9 in simplest form

ozzi

Find the GCD (or HCF) of numerator and denominator
GCD of 7 and 9 is 1Divide both the numerator and denominator by the GCD
(7/1)/(9/1)Reduced fraction: 7/9

8 0

3 years ago

Read 2 more answers

spin [16.1K]

Answer:

$z=\frac{0.18 -0.1}{\sqrt{\frac{0.1(1-0.1)}{100}}}=2.67$

Step-by-step explanation:

1) Data given and notation

n=100 represent the random sample taken

X=18 represent the ounce cups of coffee that were underfilled

$\hat p=\frac{18}{100}=0.18$ estimated proportion of ounce cups of coffee that were underfilled

$p_o=0.1$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion it's higher than 0.1 or 10%:

Null hypothesis: $p\leq 0.1$

Alternative hypothesis: $p > 0.1$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.18 -0.1}{\sqrt{\frac{0.1(1-0.1)}{100}}}=2.67$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level assumed for this case is $\alpha=0.05$ . The next step would be calculate the p value for this test.

Since is a one right tailed test the p value would be:

$p_v =P(Z>2.67)=0.0037$

So the p value obtained was a very low value and using the significance level given $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance thetrue proportion is not significanlty higher than 0.1 or 10% .

5 0

3 years ago