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3 years ago

What is the midpoint of (2,-2,4) and (-2,0,6)

1 answer:

6 0

Midpoint of (a,b,c) and (e,f,g) is
((a+e)/2,(b+f)/2,(c+g)/2)
just average them

the x value
(2+-2)/2=0/2=0

the y value
(-2+0)/2=-2/2=-1

the z value
(4+6)/2=10/2=5

(0,-1,5) is da midopint

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If the Alpha company is 79% staffed and the Beta company is only 62% staffed, what is the relative change of staffing from the A

sweet [91]

Answer:

27.41%

Step-by-step explanation:

Data provided in the question

The staffed of Alpha company = 79%

The staffed of Beta company = 62%

Based on the above information, the relative change of staffing from Alpha to beta company is

As we know that

$\bold {\ Relative \ change = \frac{\alpha- \beta }{\beta }}$

$= \frac{(79 -62)}{62} \% \\\\= \frac{17}{62} \times 100\\\\=0.2741 \times 100\\\\=27.41\ \%$

By applying the above formula we can get the relative change and the same is to be applied so that the correct percentage could come

5 0

3 years ago

10. Mr. Guerrero left his house and drove north at an average speed of 40 mph.Two hours later, his daughter Miranda left the hou

Charra [1.4K]

Speed=distance / time ⇒ distance=time x speed
distance=d
time=t
speed= s

d=s*t

Distance traveled by Mr Guerrero, when his daugther left the house
Data:
s=40 miles/ hour
t=2 hours
d=40 miles/ hour * 2 hours= 80 miles

Total distance traveled by Mr Guerrero:
d=80 miles + 40 miles/hourt ⇒d=80+40t (1)

d=total distance.
s=speed.
t=time spent by Miranda for she overtook her father.

Distance traveled by Miranda.
data:

s=48 miles/ hour
d=total distance.
t=time spent by Miranda for she overtook her father.

d=48 miles/hour * t ⇒d=48t (2)

With the equations (1) and (2), we make an system of equations:

d=80+40t
d=48t

We can solve this system of equation by equalization method.

80+40t=48t
80=48t-40t
80=8t
t=80/8=10

d=48t
d=48*10=480

Answer: the thistance will be 480 miles.

3 0

2 years ago

Hi! If you could please do my assignment, I'd be grateful! I'll also mark brainliest, giving thanks, and hearts for the best. (

KonstantinChe [14]

Answer:

False

True

False

True

Step-by-step explanation:

I hope this helps!

8 0

2 years ago

The perimeter of a rectangle is 34cm.Find the breadth of the rectangle if its length is 12cm.

Novosadov [1.4K]

Answer :
breadth = 5 cm :)

8 0

3 years ago

Since an instant replay system for tennis was introduced at a majorâ tournament, men challenged 1399 refereeâ calls, with the re

prohojiy [21]

Answer: The value of test statistic is 0.696.

Step-by-step explanation:

Since we have given that

$n_1=1399\\\\x_1=411\\\\p_1=\dfrac{x_1}{n_1}=\dfrac{411}{1399}=0.294$

Similarly,

$n_2=759, x_2=211\\\\p_2=\dfrac{x_2}{n_2}=\dfrac{211}{759}=0.278$

At 0.01 level of significance.

Hypothesis are :

$H_0:P_1=P_2=0.5\\\\H_a:P_1\neq P_2$

So, the test statistic value would be

$z=\dfrac{(p_1-p_2)-(P_1-P_2)}{\sqrt{\dfrac{P_1Q_1}{n_1}+\dfrac{P_2Q_2}{n_2}}}\\\\z=\dfrac{0.294-0.278}{\sqrt{0.5\times 0.5(\dfrac{1}{1399}+\dfrac{1}{759})}}\\\\z=\dfrac{0.016}{0.023}=0.696$

Hence, the value of test statistic is 0.696.

3 0

2 years ago