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3 years ago

Parallelogram FGHI on the coordinate plane below represents the drawing of a horse trail through a local park.

Mathematics

2 answers:

Orlov [11]3 years ago

6 0

The answer is a.......................

Setler [38]3 years ago

4 0

The answer is <span>A)(13, 8).

Distance I to F is: yf - yi = -1 - (-4) = -1 + 4 = 3
Distance D to A is: ya - yd = 8 - 2 = 6

</span>Distance D to A : Distance I to F = 6 : 3<span>
6 : 3 = 2, so scale factor is 2.

Among all choices, we see that the y point of another corner is 8, so we need to find x point.

Distance I to H is: xh - xi = -2 - (-7) = -2 + 7 = 5
Distance A to x corner is: x - xa = x - 3

Since </span>Distance I to H is 5, and scale factor is 2, we have:
Distance A to x corner : Distance I to H = 2
Distance A to x corner = 2 * Distance I to H = 2 * 5 = 10

Distance A to x corner is: xa - x = x - 3 = 10
x - 3 = 10
x = 10 + 3
x = 13

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Jason rolls the die 14 times. What is the experimental probability that he will roll a 2

Vaselesa [24]

There’s 14 rolls. The probability he lands on a 2 would be 2/14. Once you simplify it it would give you a probability of 1/7

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3 years ago

An airline knows that 5 percent of the people making reservations on a certain flight will not show up. Consequently, their poli

kenny6666 [7]

Answer:

the probability that there will be a seat available for every passenger who shows up is 0.74

Step-by-step explanation:

if the probability of choosing a passenger that will not show up is 5% , then the probability of choosing a passenger that will show up is 95%.

Denoting event X= x passengers will show up from the total of 52 that purchased the ticket

Then P(X) follows a binomial probability distribution, since each passenger is independent from others. Thus

P(X) = n!/((n-x)!*x!)*p^x*(1-p)^(n-x)

where

n= total number of passengers hat purchased the ticket= 52

p= probability of choosing a passenger that will show up

x = number of passengers that will show up

therefore the probability that the number does not exceed the limit of 50 passengers is:

P(X≤50)= ∑P(X=i) from i=0 to i=50 =F(50)

where F(x) is the cumulative binomial probability distribution, then from tables:

P(X≤50)= F(50) = 0.74

therefore the probability that there will be a seat available for every passenger who shows up is 0.74

8 0

3 years ago

A marching band is arranged in rows of 7 the first row has 3 band members and each row after the first has 2 more band members t

pav-90 [236]

Answer:

$a_{n}$ = 1+2n and 63

Step-by-step explanation:

the question belongs to arithmetic sequence and $a_{n}$ can be determined by the formula

$a_{n}$ = a1 + d (n-1)

Let " $a_{n}$ " represents the number of band members in the nth row

and 'd' represents the common difference.( as stated each row has 2 more band members than the row before it)

therefore, d=2

'a1' represents first row that has three members. So, a1 = 3

->Rule for nth term will be:

$a_{n}$ = 3 + 2(n-1)

$a_{n}$ = 3 + 2n -2

$a_{n}$ = 1+2n

-> In order to find total number of band members ' $S_{7}$ '

Let $S_{n}$ represent total number in n rows

We'll use the formula, i.e $S_{n}$ = n/1 ( $a_{1}$ + $a_{n}$ )

where, n is the number of terms, $a_{1}$ is the first term and $a_{n}$ is the last term

So,

n=7

$a_{7}$ = 1 + 2(7)= 15

=> $S_{7}$ = 7/2 (3 + 15)

$S_{7}$ = 63

The total number of band members are 63

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cricket20 [7]

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yarga [219]

Answer:

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2 years ago