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Mathematics

1 answer:

umka2103 [35]3 years ago

8 0

Answer: d, rotation

Step-by-step explanation:

trapezoid 1 can rotate into trapezoid 3.

Translation means to move every single point in the same direction

Reflection means to mirror every point aka flipping it over

Dilation means to stay with the same points but to change size

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A scale on a bike path shows that 3 inches represents 5 miles. How many inches on the map are equal to 30 miles

PtichkaEL [24]

Answer:

18 inches.

Step-by-step explanation:

If the ratio for inches to miles is

$\frac{3}{5}$ ,

then you multiply the top and bottom by 6 to get to 30. This gets the numerator to 18 inches.

8 0

3 years ago

john's commute time to work during the week follows the normal probability distribution with a mean time of 26.7 minutes and a

Angelina_Jolie [31]

To evaluate the probability that a randomly selected day will be between 28 and 34 minutes we proceed as follows:
P(28<x<34)
First we evaluate the z-score for the above values:
z=(x-σ)/μ
μ=26.7
σ=5.1

when:
x=28
z=(28-26.7)/5.1
z=0.26
P(z<0.26)=0.6026

when x=34
z=(34-26.7)/5.1
z=1.43
P(z<1.43)=0.9236
hence:
P(28<x<34)=0.9236-0.6026=0.321~32.1%

6 0

3 years ago

The table displays the number of students in each grade at Richmond High School who will or will not be attending the amusement

Pani-rosa [81]

Answer:

$P( eleventh\: \: |\: \: FT)= 0.2453 \\\\P( eleventh\: \: |\: \: FT)= 24.53\% \\\\$

Step-by-step explanation:

We are given a joint probability table.

There are four different graders in a school

1. Grade Ninth

2. Grade Tenth

3. Grade Eleventh

4. Grade Twelfth

Field trip refers to the students who will attending the amusement park field trip.

No field trip refers to the students who will not be attending the amusement park field trip.

We want to find out the probability that the selected student is an eleventh grader given that the student is going on a field trip.

$P( eleventh\: \: |\: \: FT)= \frac{P( eleventh\: \: and \: \: FT)}{P(FT)}$

Where P(eleventh and FT) is the probability of students who are in eleventh grade and will be going to field trip

$P(eleventh\: and \: FT) = \frac{13}{92} \\\\P(eleventh \: and \: FT) = 0.1413$

Where P(FT) is the probability of students who will be going to field trip

$P(FT) = \frac{12}{92} + \frac{9}{92} + \frac{13}{92} + \frac{19}{92}\\\\P(FT) = 0.1304 + 0.0978 + 0.1413 + 0.2065\\\\P(FT) = 0.576 \\\\$

So the required probability is

$P( eleventh\: \: |\: \: FT)= \frac{P( eleventh\: \: and \: \: FT)}{P(FT)} \\\\P( eleventh\: \: |\: \: FT)= \frac{0.1413}{0.576} \\\\P( eleventh\: \: |\: \: FT)= 0.2453 \\\\P( eleventh\: \: |\: \: FT)= 24.53\% \\\\$