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weqwewe [10]
3 years ago
14

Tom rode his horse for 4/6 miles. Liz rode her horse for an equal distance. What is an equivalent fraction that describes how fa

r Liz rode?
Mathematics
2 answers:
Natasha_Volkova [10]3 years ago
8 0
If you where to simplify 4/6 you will get an equivalent fraction. So you would find a common numeral between the tw0. In this case it would be 2. So it would be 2/3 cause you would divide each number by two to get 2/3.
Llana [10]3 years ago
5 0

Answer: 2/3

Step-by-step explanation: Divide each number by two and you will find yourself with 2/3 on each number.

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A library subscribes to two different weekly news magazines, each of which is supposed to arrive in Wednesday�s mail. In actuali
Softa [21]

Answer:

P(Y = 0) = 0.09

P(Y = 1) = 0.4

P(Y = 2) = 0.32

P(Y = 3) = 0.19

Step-by-step explanation:

Let the events be:

W = Wednesday

T = Thursday

F = Friday

S = Saturday

Their corresponding probabilities are

P(W) = 0.3\\P(T) = 0.4\\P(F) = 0.2\\P(S) = 0.1

Since Y = number of days beyond Wednesday that it takes for both magazines to arrive(so possible Y values are 0, 1, 2 or 3)

The possible number of outcomes are therefore 4^2 = 16\\(W, W), (W, T), (W, F), (W, S)\\(T, W), (T, T), (T, F), (T, S)\\(F, W), (F, T), (F, F), (F, S)\\(S, W), (S, T), (S, F), (S, S)

The values associated for each of the outcomes are as follows:

Y(W, W) = 0, Y(W, T) = 1, Y(W, F) = 2, Y(W, S) = 3\\Y(T, W) = 1, Y(T, T) = 1, Y(T, F) = 2, Y(T, S) = 3\\Y(F, W) = 2, Y(F, T) = 2, Y(F, F) = 2, Y(F, S) = 3\\Y(S, W) = 3, Y(S, T) = 3, Y(S, F) = 3, Y(S, S) = 3

The probability mass function of Y is,

P(Y = 0) = 0.3(0.3) = 0.09\\P(Y = 1) = P[(W, T) or (T, W) or (T, T)]\\= [0.3(0.4) + 0.3(0.4) + 0.4(0.4)]\\= 0.4\\\\P(Y = 2) = P[(W, F) or (T, F) or (F, W) or (F, T) or (F, F)]\\= [0.3(0.2) + 0.4(0.2) + 0.2(0.3) + 0.2(0.4) + 0.2(0.2)]\\= 0.32\\\\P(Y = 3) = P[(W, S) or (T, S) or (F, S) or (S, W) or (S, T) or (S, F) or (S, S)]\\= [0.3(0.1) + 0.4(0.1) + 0.2(0.1) + 0.1(0.3) 0.1(0.4) + 0.1(0.2) + 0.1(0.1)]\\= 0.19

7 0
3 years ago
Evaluate the expression 12-3x+4(10-2 cubed) for x=2/3
suter [353]
12 - 3x + 4 ( 10 - 2^3 )
12 - 3 ( 2/3 ) + 4 ( 10 - 2^3 )
12 - 2 + 4 ( 10 - 8 )
12 - 2 + 40 - 32
10 + 8
18
4 0
3 years ago
What is the division algorithm for 7 and 192?
Mandarinka [93]

Answer:

We have a formula for division algorithm  a= bq+r            (1)

a is the greatest integer between the two given integers

And b is the other integer

q is the quotient

r is the remainder

here we have a=192 and b=7  substituting values in equation (1) we get

192 = 27 *7 + 3                       (2)

now  substitute quotient from equation (2)  in place  of a  that is a=27  and remainder  in place of b that is b =3 in equation as below

27= 9*3 +0

we will proceed till we get remainder zero.


8 0
3 years ago
A ladder leans against a 22-feet-tall apple tree. The base of the ladder forms a 42° angle with the ground. Approximately how ta
igomit [66]

(D) 33 feet

<u>Explanation:</u>

Given:

Height of the tree, h = 22 feet

angle, θ = 42°

Length of the ladder, l = ?

We know:

sin θ = Perpendicular / hypotenuse

So,

Sin θ = height of the tree / length of the ladder

sin 42^0 = \frac{22}{l} \\\\0.67 = \frac{22}{l} \\\\l = 32.84 feet

l = 32.84 feet ≈ 33 feet

Therefore, the length of the ladder be to reach the top of the apple tree is 33 feet.

6 0
2 years ago
What is the length of the line segment with endpoints (11,−4) and (−12,−4) ?
bija089 [108]

Answer:

Length of the line segment with endpoints (11,−4) and (−12,−4)  is 23 units

Step-by-step explanation:

Given:

Endpoints are (11,−4) and (−12,−4)

To Find:

The length of the line = ?

Solution:

The length of the line can be found by using the distance formula

\sqrt{(x_2-x_1)^2 +(y_2 - y_1)^2

Here

x_1= 11

x_2= -12

y_1= -4

y_2= -4

Substituting the values

Length of the line

=>\sqrt{((-12)- 11)^2 +((-4) - (-4))^2

=>\sqrt{(-12- 11)^2 +(-4+4)^2

=>\sqrt{(-23)^2 +(0)^2

=>\sqrt{529}

=>23

8 0
3 years ago
Read 2 more answers
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