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Ne4ueva [31]
2 years ago
10

Find the slope of the line passes through the pair of points (-5.5,6.1), (-2.5,3.1)

Mathematics
1 answer:
skad [1K]2 years ago
7 0
The answer would be C.

If you do -5.5 + 2.5 over 6.1 - 3.1 it would be -3 over 3 which is equal to -1.

You could also do -2.5 + 5.5 over 3.1 - 6.1. It would be 3 over -3 which is also equal to -1.
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Chloe notices that segment ST and segment VW are congruent in the image below.
IgorLugansk [536]
The SAS similarlity theorem is the type of similarlity that show that two triandles are similar by showing that two of the sides are similar with the angle between the two sides also similar.

Thus, given that <span>segment ST and segment VW are congruent, and also from the image it can be seen that angle S is congruent to angle V.

Thus, to show that </span>ΔSTU ≅ ΔVWX, we have to show that <span>US≅XV.

There</span>fore, the <span>step that could help her determine if ΔSTU ≅ ΔVWX by SAS is<span> US≅XV</span></span>
5 0
3 years ago
2x + 4 = 3x - 2<br><br> a. -2<br><br> b. 7 <br><br> c. 3<br><br> d. 6
blsea [12.9K]
The answer is 6.

2x + 4 = 3x - 2
-2x -2x
————————
4 = x - 2
+2 +2
—————
6 = x
7 0
3 years ago
Read 2 more answers
A machine fills containers with a particular product. Assume the filling weights are normally distributed with a variance of 0.1
Ghella [55]

Answer:

z=-0.674

And if we solve for \mu we got

\mu=12 +0.674*0.4=12.270

So then the mean is 'mu = 12.270 for this case.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

X \sim N(\mu,\sqrt{0.16}= 0.4)  

For this part we want to find a value a, such that we satisfy this condition:

P(X>12)=0.85   (a)

P(X   (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.  

As we can see on the figure attached the z value that satisfy the condition with 0.25 of the area on the left and 0.85 of the area on the right it's z=-0.674. On this case P(Z<-0.674)=0.25 and P(z>-0.674)=0.85

If we use condition (b) from previous we have this:

P(X  

P(z

But we know which value of z satisfy the previous equation so then we can do this:

z=-0.674

And if we solve for \mu we got

\mu=12 +0.674*0.4=12.270

So then the mean is 'mu = 12.270 for this case.

8 0
3 years ago
Identify the vertex of the function graphed below.
MariettaO [177]
The answer is D, (2,2). A vertex is where a line or curve meets and changes direction.
4 0
2 years ago
Read 2 more answers
PLEASE ANSWER ASAP!
Mkey [24]

Answer:

$208804.96

Step-by-step explanation:

$4,000 plus the product of 8%  and $2,560,062

answer = $208804.96

8 0
3 years ago
Read 2 more answers
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