What qualifies two figures as similar figures?

Which graph represents f(x)=6cos(4πx) ?

lesya692 [45]

Answer:

The graph representing f(x)=6cos(4πx) is shown in the attached file.

Step-by-step explanation:

The graph representing f(x)=6cos(4πx) is shown in the attached file.

6 0

3 years ago

HELPPPP ME PLEASE!!!!!!!

viktelen [127]

Answer:

x = 7

Step-by-step explanation:

Given 2 intersecting chords, then

The product of the parts of one chord is equal to the product of the parts of the other chord, that is

27x = 9 × 21 = 189 ( divide both sides by 27 )

x = 7

6 0

3 years ago

If y varies directly with x, write an equation for the direct variation. Then find each value.

Viktor [21]

1)
y = kx
-12 = k(9)
k = -4/3

y = (-4/3)(-4)
y = 16/3

2)
y = kx
8 = 20k
k = 2/5

y = (2/5)(10)
y = 4

3)
y= kx
-6 = k(-14)
k = 3/7

-4 = (3/7)x
-4(7/3) = x
x = -28/3

6 0

3 years ago

There are 11 students on a committee. To decide which 4 of these students will attend a conference, 4 names are chosen at random

Alina [70]

Answer:

0.003 = 0.3% probability that Sarah, Jamal, Kate, and Mai are chosen in any order.

Step-by-step explanation:

The students are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

11 students means that $N = 11$

4 are Sarah, Jamal, Kate, and Mai, so $k = 4$

4 are chosen, which means that $n = 4$

What is the probability that Sarah, Jamal, Kate, and Mai are chosen in any order?

This is P(X = 4). So

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 4) = h(4,11,4,4) = \frac{C_{4,4}*C_{7,0}}{C_{11,4}} = 0.003$

0.003 = 0.3% probability that Sarah, Jamal, Kate, and Mai are chosen in any order.

7 0

3 years ago

On a coordinate plane, 2 lines intersect at (negative 2, negative 5). What point appears to be the solution to the system of equ

iragen [17]

Answer:

We conclude that the point of intersection i.e (x, y) = (-2, -5) will appear to be the solution to the system of equations.

Step-by-step explanation:

We know that when two lines meet or intersect at a point in the coordinate plane, the point where they meet is called the point of intersection.

The point of intersection is termed as the solution of the system of equations on a coordinate plane.

Given that the two lines intersect at (-2, -5)

In other words,

at x = -2, y = -5

Thus, the point of intersection = (x, y) = (-2, -5)

Thus, we conclude that the point of intersection i.e (x, y) = (-2, -5) will appear to be the solution to the system of equations.

7 0

3 years ago

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