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3 years ago

How many solutions does the equation y + 12 = y + 10 + 2 have?

2 answers:

6 0

Y + 12 = y + 10 + 2

y + 12 = y + 12

y - y = 12 - 12

0 = 0

When solving an equation and you see the format 0 = 0, know that there are infinitely many solutions.

When you plug in any number at all for y, it would satisfy the original equation.

So the solutions are infinitely many.

Bas_tet [7]3 years ago

4 0

There are infinite solutions.
Think about it. The equation says essentially:
12 + any number = 12 + any number.
y + 12 = y + 10 + 2
y + 12 = y + 12
   y - y = 12 - 12
      0 = 12 - 12
      0 = 0

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. You are interested in the amount of time teenagers spend weekly working at part-time jobs. A random sample of 15 teenagers was

agasfer [191]

Answer:

$t=\frac{147.3-120}{\frac{50}{\sqrt{15}}}=2.115$

Now we can calculate the degrees of freedom

$df=n-1=15-1=14$

If we find a critical value in the t distribution with 14 degrees of freedom who accumulates 0.05 of the area in the right we got $t_{critc}= 1.761$

Since the calculated value is higher than the critical value we have enough evidence to conclude that the true mean is significantly higher than 120 minutes for the average time of part time jobs

Step-by-step explanation:

Information given

$\bar X=147.3$ represent the sample mean for the amount of time spent at part time jobs

$s=50$ represent the sample standard deviation

$n=15$ sample size

$\mu_o =120$ represent the value to check

$\alpha=0.05$ represent the significance level

t would represent the statistic

$p_v$ represent the p value for the test

System of hypothesis

We want to analyze if the true mean for the amount of time spent at part time jobs is higher than 120, the system of hypothesis would be:

Null hypothesis: $\mu \leq 120$

Alternative hypothesis: $\mu > 120$

Since we don't know the population deviation the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

Replacing the info given we got:

$t=\frac{147.3-120}{\frac{50}{\sqrt{15}}}=2.115$

Now we can calculate the degrees of freedom

$df=n-1=15-1=14$

If we find a critical value in the t distribution with 14 degrees of freedom who accumulates 0.05 of the area in the right we got $t_{critc}= 1.761$

Since the calculated value is higher than the critical value we have enough evidence to conclude that the true mean is significantly higher than 120 minutes for the average time of part time jobs

4 0

3 years ago

What is the value of x?

Alex777 [14]

Answer:

Step-by-step explanation:

Corresponding angles are congruent

x² - 72 = 6x

x² - 6x - 72 = 0

Sum = -6

Product = -72

Factor = -12 , 6 {-12*6 = -72 & -12 +6 = -6}

x² + 6x - 12x -72 = 0

x(x + 6) - 12(x + 6) = 0

(x + 6)(x -12)=0 {Ignore x + 6 = 0 because angles won't be in negative}

x - 12 = 0

x = 12

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3 years ago

Now here, now there, the roving Fancy flies,

Nutka1998 [239]

What exactly are u asking?

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Norma-Jean [14]

Answer:

m = -1

Step-by-step explanation:

y = -x can also be written as

y = -1x + 0

The slope is -1.

In slope intercept equations, if the slope is '1' or '-1' they would usually drop the one.

Hope this helps.

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1 Is the answer because you have to subtract 5 - 4 equals 1. did that help?

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