The variables x and y vary inversely If x=5 when y=12, then find the value of x when y=32

What is the linear equation for 3x+2y=62

scZoUnD [109]

In this formula :

y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x+2y-62 = 0 and calculate its properties

Notice that when x = 0 the value of y is 31/1 so this line "cuts" the y axis at y=31.00000

y-intercept = 62/2 = 31

When y = 0 the value of x is 62/3 Our line therefore "cuts" the x axis at x=20.66667

x-intercept = 62/3 = 20.66667

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 31.000 and for x=2.000, the value of y is 28.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 28.000 - 31.000 = -3.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -3.000/2.000 = -1.500


1.Slope = -3.000/2.000 = -1.500

2.x-intercept = 62/3 = 20.66667

3.y-intercept = 62/2 = 31

I got sources from a few websites so excuse if something is weird/wrong.

4 0

3 years ago

How are the graphs of y = sin(x) and y = sin(x - 8) related? *

kvasek [131]

Answer:

There is a horizontal shift.

Step-by-step explanation:

Replacing x in a function formula with x - 8 moves the graph 8 units to the right.

In the attached image, y = sin(x) is light green, y = sin(x - 8) is dark green, and the arrows show how points on sin(x) get moved 8 units to the right.

5 0

3 years ago

WHO EVER CAN ANSWER THESE FOR ME I WILL MARK YO THE BRANLEIST!!!

abruzzese [7]

Answer:

Exercise 4: 15 times

Exercise 5: 5^10

Exercise 9: x^185

Exercise 10: n times

3 0

3 years ago

Read 2 more answers

In your sock drawer you have 4 blue, 5 gray, and 3 black socks. half asleep one morning you grab 2 socks at random and put them

timofeeve [1]

you will have 1/4 or 25% probability to pick a black sock because

4 blue socks + 5 gray socks + 3 black socks = 12 socks. but you need to pick one of the 3 black socks so 3 out of 12 or 3/12. simplify to 1/4

6 0

3 years ago

According to Inc, 79% of job seekers used social media in their job search in 2018. Many believe this number is inflated by the

Fynjy0 [20]

Answer:

Null hypothesis: $p\leq 0.79$

Alternative hypothesis: $p > 0.79$

$z=\frac{0.849 -0.79}{\sqrt{\frac{0.79(1-0.79)}{370}}}=2.786$

$p_v =P(z>2.786)=0.00267$

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 the true proportion is higher than 0.79.

Step-by-step explanation:

1) Data given and notation

n=750 represent the random sample taken

X=314 represent the respondents that use social media in their job search.

$\hat p=\frac{314}{370}=0.849$ estimated proportion of respondents that use social media in their job search

$p_o=0.79$ is the value that we want to test

$\alpha=0.05$ represent the significance level

Confidence=95% or 0.95

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 is hgiher than 0.79.:

Null hypothesis: $p\leq 0.79$

Alternative hypothesis: $p > 0.79$

When we conduct a proportion test we need to use the z statisticc, 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:

$z=\frac{0.849 -0.79}{\sqrt{\frac{0.79(1-0.79)}{370}}}=2.786$

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 provided $\alpha=0.05$ . The next step would be calculate the p value for this test.

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

$p_v =P(z>2.786)=0.00267$

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 the true proportion is higher than 0.79.

7 0

3 years ago