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andreyandreev [35.5K]
3 years ago
14

Are the graphs of each pair of equations parallel, perpendicular, or neither? x = 4 and y = 3

Mathematics
1 answer:
levacccp [35]3 years ago
3 0

Answer:

perpendicular

Step-by-step explanation:

The graph of x = 4 is a vertical line and the graph of y = 3 is a horizontal line.

Vertical and horizontal lines are perpendicular.

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How many roots does the equation (8/(x^2 - 16) )+ 1 = 1/(x -4) have?<br><br> Plz show ALL STEPS
balandron [24]

Answer:

Step-by-step explanation:

4 0
3 years ago
Why 10^33/2=5*10^32? Explain, pls. :(
german

Answer:

see below

Step-by-step explanation:

10^33/2

Rewriting the numerator as 10 * 10 ^ 32

10 * 10 ^32

--------------------

2

10/2 = 5

5 * 10 ^32

Therefore

10^33/2=5*10^32

4 0
2 years ago
A null hypothesis is that the mean nose lengths of men and women are the same. The alternative hypothesis is that men have a lon
algol [13]

Answer:

b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.

See explanation below.

Step-by-step explanation:

Develop the null and alternative hypotheses for this study?

We need to conduct a hypothesis in order to check if the means for the two groups are different (men have longer mean nose length than women), the system of hypothesis would be:

Null hypothesis:\mu_{men} \leq \mu_{women}

Alternative hypothesis:\mu_{men} > \mu_{women}

Assuming that we know the population deviations for each group, for this case is better apply a z test to compare means, and the statistic is given by:

z=\frac{\bar X_{men}-\bar X_{women}}{\sqrt{\frac{\sigma^2_{men}}{n_{men}}+\frac{\sigma^2_{women}}{n_{women}}}} (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Let's assume that the calculated statistic is z_{calc}

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

p_v =P(Z>z_{calc})=0.225

And we know that the p value is 0.225. If we select a significance level for example 0.05 or 0.1 we see that p_v >\alpha

And on this case we have enough evidence to FAIl to reject the null hypothesis that the means are equal. So then the best conclusion would be:

b. There is not enough evidence to say that the populations of men and women have different mean nose lengths.

8 0
3 years ago
A line passes through the points (-4,1) and (-3,3). This line can be modeled by the equation y = mx + b.
docker41 [41]

Answer:

m= 2

b=9

Step-by-step explanation:

-4, 1 -3,3

put it into y2-x2 divided by y1-x1

y2= 3

x2= 1

y1= -3

x1=-4

3-1 divided by -4--3= 2/1    =2x

get one of the points either -4,1 or -3,3

If you use -4,1    -4=x 1=y

put it into y=mx+b and you get 1= -4(2)+b    simplify

1=-8+b add 8 to other side b=9

7 0
2 years ago
Serena and Sienna both work for a company that pays 12 dollars per hour for the first 40 hours of work in a week. If an employee
Free_Kalibri [48]

Answer:

87 total hours.

Step-by-step explanation:

The equation 456/12 Gives you how many hours Sienna worked. (38)

642-480 will give you how much money Serena made off of Just OT (162)

162/18 = 9 (9 is how many overtime hours Serena worked.)

Serena worked her normal 40 hours, then worked over time, so you have to add 40 to the equation.

9+40+38 = 87

Serena and Sienna worked 87 total hours.

7 0
3 years ago
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