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yulyashka [42]
3 years ago
14

According to the number line, what is the distance between points A and B?

Mathematics
2 answers:
sleet_krkn [62]3 years ago
4 0

Answer:

14 units

Step-by-step explanation:

12-(-2)=14

aleksandrvk [35]3 years ago
4 0

Answer:

14 units

Step-by-step explanation:

count by twos from -2 to 12

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Independent random samples of vehicles traveling past a given point on an interstate highway have been observed on monday versus
quester [9]
Hi! 

To compare this two sets of data, you need to use a t-student test:

You have the following data:

-Monday n1=16; <span>x̄1=59,4 mph; s1=3,7 mph

-Wednesday n2=20;  </span>x̄2=56,3 mph; s2=4,4 mph

You need to calculate the statistical t, and compare it with the value from tables. If the value you obtained is bigger than the tabulated one, there is a statistically significant difference between the two samples.

t= \frac{X1-X2}{ \sqrt{ \frac{(n1-1)* s1^{2}+(n2-1)* s2^{2} }{n1+n2-2}} * \sqrt{ \frac{1}{n1}+ \frac{1}{n2}} } =2,2510

To calculate the degrees of freedom you need to use the following equation:

df= \frac{ (\frac{ s1^{2}}{n1} + \frac{ s2^{2}}{n2})^{2}}{ \frac{(s1^{2}/n1)^{2}}{n1-1}+ \frac{(s2^{2}/n2)^{2}}{n2-1}}=33,89≈34

The tabulated value at 0,05 level (using two-tails, as the distribution is normal) is 2,03. https://www.danielsoper.com/statcalc/calculator.aspx?id=10

So, as the calculated value is higher than the critical tabulated one, we can conclude that the average speed for all vehicles was higher on Monday than on Wednesday.



5 0
3 years ago
Which two sets of events are most likely independent?
Bumek [7]

Answer:

A and C

Step-by-step explanation:

Two events, A and B, are independent if the fact that A occurs does not affect the probability of B occurring.

Options B and D give events which are most likely to be dependent, because if a driver texts while driving affects the possibility that the driver can get into the accident and if a woman lives in Alaska affects she can have a heavy winter coat.

Options A and C are two sets of most likely independent events, because the girl's singing does not affect on her wish to become a lawyer and a man's hair doesn't depend on where his father lives.  

5 0
3 years ago
Ayden and his children went into a grocery store and where they sell peaches for $0.75 each and mangos for $1.75 each. Ayden has
Zepler [3.9K]

Answer:

he can buy 10 peaches.

Step-by-step explanation:

7 mangoes will be 12.25. so you subtract his original money(20) from 12.25 which gives you 7.75. then divide 7.75 by 0.75(cost of a peach) and your answer will be 10(rounded off).

8 0
2 years ago
Could someone give me the answer please
o-na [289]

Answer:

the top one, (-1,3)

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Directions - For the following problem, write a paragraph proof to justify each step you make. All work must be neat,
nlexa [21]

$ PS = \frac{4}{3} x

Solution:

Given PRQ is a triangle.

ST is a line parallel to RQ.

$PT = x, \ PQ = 3x,  \ SR=\frac{8}{3}x

TQ=PQ-PT

TQ=3x -x=2x

<u>Triangle proportionality theorem,</u>

<em>If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.</em>

$\frac{PS}{SR} =\frac{PT}{TQ}

$\frac{PS}{\frac{8}{3} x} =\frac{x}{2x}

Do cross multiplication, we get

$ PS \times 2x=x \times \frac{8}{3} x

Divide by 2x on both sides, we get

$ PS = \frac{4}{3} x

4 0
3 years ago
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