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4 years ago

What set of Reflections and rotations could carry rectangle ABCD onto itself

Mathematics

1 answer:

Masteriza [31]4 years ago

4 0

Answer:

A reflection across the Y axis and a rotation of about 180 degrees clockwise then another rotation 180 degrees counter clockwise by 180

Step-by-step explanation:

This is correct because take a very close look at it and you will see if you reflect across the Y axis it be on the opposite side of the Y axis then rotate it at a 180 degrees clockwise then a 180 degrees rotation counter clockwise it will be at the same spot it was at before.

Mark brainiest if this helped

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30% of 85 on a percent ruler

Wewaii [24]

0.00352941 is the answer

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4 years ago

1) Two coins are to be flipped. The first coin will land on heads with probability .6, the second with probability .7. Assume th

ddd [48]

Answer:

(a) P(X=1)=0.46

(b) E[X]=1.3

Step-by-step explanation:

(a)

Let A be the event that first coin will land on heads and B be the event that second coin will land on heads.

According to the given information

$P(A)=0.6$

$P(B)=0.7$

$P(A')=1-P(A)=1-0.6=0.4$

$P(B')=1-P(B)=1-0.7=0.3$

P(X=1) is the probability of getting exactly one head.

P(X=1) = P(1st heads and 2nd tails ∪ 1st tails and 2nd heads)

= P(1st heads and 2nd tails) + P(1st tails and 2nd heads)

Since the two events are disjoint, therefore we get

$P(X=1)=P(A)P(B')+P(A')P(B)$

$P(X=1)=(0.6)(0.3)+(0.4)(0.7)$

$P(X=1)=0.18+0.28$

$P(X=1)=0.46$

Therefore the value of P(X=1) is 0.46.

(b)

Thevalue of E[X] is

$E[X]=\sum_{x}xP(X=x)$

$E[X]=0P(X=0)+1P(X=1)+2P(X=2)$

$E[X]=P(X=1)+2P(X=2)$ ..... (1)

First we calculate the value of P(X=2).

P{X = 2} = P(1st heads and 2nd heads)

= P(1st heads)P(2nd heads)

$P(X=2)=P(A)P(B)$

$P(X=2)=(0.6)(0.7)$

$P(X=2)=0.42$

Substitute P(X=1)=0.46 and P(X=2)=0.42 in equation (1).

$E[X]=0.46+2(0.42)$

$E[X]=1.3$

Therefore the value of E[X] is 1.3.

3 0

3 years ago

What is the value of the 4 in 475

vladimir1956 [14]

The value of 4 in 475 is 4 hundred

8 0

3 years ago

He tells you that each small pizza only gets ⅛ of a pound of cheese. Sal yells for you to run to the cooler and get the exact am

sleet_krkn [62]

Answer:

2 pounds

Step-by-step explanation:

8 pizzas= 1 pound of cheese

8+8=16

16 pizzas = 2 pounds of cheese

3 0

2 years ago

A race car is driven around a circular track at a constant speed of 180 miles per hour. If the diameter of the track is 1/2 mile

velikii [3]

F the diameter is 1/2 mile, that is 0.5 mile, then the radius is 0.25 -half of it!

the angular speed is theta/time, which means

w=theta/time

but another formula for it is Velocity*radians

w=velocity*radians

velocity is 180 mph and radians are (revolution/2 radius), that is:

w=180*(1/2*0.25)
and if we calculate this, we have: w=114.59, which is the correct answer!

8 0

3 years ago