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AleksAgata [21]
2 years ago
15

Tina has 5 yards of fabric. She is making scarves that each require 1/3 of a yard of fabric. How many scarves can she make?

Mathematics
1 answer:
larisa [96]2 years ago
4 0

Answer:

15 scarves

Step-by-step explanation:

CROSS MULTIPLICATION METHOD

5 YARDS = x

⅓ YARDS = 1 scarves

⅓x = 5

x = 5×3

x = 15

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What is 3^(3/2) equal to
Delicious77 [7]
It equals 5.1962.... If it's 3/2 then you can do 3 divided by 2 and you'll get 1.5. If you have a scientific calculator you can do 3 to the power of 1.5 which will get you your answer.
4 0
3 years ago
Read 2 more answers
Eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the air
gladu [14]

Answer:

a) P(B'|A) = 0.042

b) P(B|A') = 0.625

Step-by-step explanation:

Given that:

80% of the light aircraft that disappear while in flight in a certain country are subsequently discovered

Of the aircraft that are discovered, 63% have an emergency locator,

whereas 89% of the aircraft not discovered do not have such a locator.

From the given information; it is suitable we define the events in order to calculate the probabilities.

So, Let :

A = Locator

B = Discovered

A' = No Locator

B' = No Discovered

So; P(B) = 0.8

P(B') = 1 - P(B)

P(B') = 1- 0.8

P(B') = 0.2

P(A|B) = 0.63

P(A'|B) = 1 - P(A|B)

P(A'|B) = 1- 0.63

P(A'|B) = 0.37

P(A'|B') = 0.89

P(A|B') = 1 - P(A'|B')

P(A|B') = 1 - 0.89

P(A|B') = 0.11

Also;

P(B ∩ A) = P(A|B) P(B)

P(B ∩ A) = 0.63 × 0.8

P(B ∩ A) = 0.504

P(B ∩ A') =  P(A'|B) P(B)

P(B ∩ A') = 0.37 × 0.8

P(B ∩ A') = 0.296

P(B' ∩ A) = P(A|B') P(B')

P(B' ∩ A) = 0.11 × 0.2

P(B' ∩ A) = 0.022

P(B' ∩ A') =  P(A'|B') P(B')

P(B' ∩ A') = 0.89 × 0.2

P(B' ∩ A') = 0.178

Similarly:

P(A) = P(B  ∩  A ) + P(B'  ∩  A)

P(A) = 0.504 + 0.022

P(A) = 0.526

P(A') = 1 - P(A)

P(A') = 1 - 0.526

P(A') =  0.474

The probability that it will not be discovered given that it has an emergency locator is,

P(B'|A) =  P(B' ∩ A)/P(A)

P(B'|A) = 0.022/0.526

P(B'|A) = 0.042

(b) If it does not have an emergency locator, what is the probability that it will be discovered?

The probability that it will be discovered given that it does not have an emergency locator is:

P(B|A') = P(B ∩ A')/P(A')

P(B|A') = 0.296/0.474

P(B|A') = 0.625

4 0
3 years ago
For the inverse variation equation p = StartFraction 8 Over V EndFraction, what is the value of V when p = one-half?
likoan [24]

Answer:

V=16

Step-by-step explanation:

We are given that an inverse variation

p=\frac{8}{V}

We have to find the value of V when p=1/2

To find the value of V we will substitute the value of p

Substitute the value of p

Then, we get

\frac{1}{2}=\frac{8}{V}

\frac{V}{2}=8

Using multiplication property of equality

V=8\times 2

Using multiplication property of equality

V=16

Hence, the value of V=16

3 0
3 years ago
Josslyn has nickels and dimes in her pocket. The number of nickels is three more than seven times the number of dimes let d repr
vfiekz [6]
7d+3Explanation

to solve this we need to translate into math terms, so

Step 1

a) let d represents the number of dimes

let n represents the number of nickles

so

re write the expressions

\begin{gathered} number\text{ of dimes=d} \\ seven\text{ times the number of dimes = 7d} \\  \end{gathered}

The number of nickels is three more than seven times the number of dimes in other words you have to add 7 to seven times the number of dimes to obtain the number of nickles

hence

n=7d+3

therefore , the expression for the number of nickles is

7d+3

I hope this helps you

3 0
1 year ago
Pls help I dont know how to do this​
german

Answer:

  • 1. CE = 63
  • 2. x = 16

Step-by-step explanation:

Use proportions to solve.

Corresponding sides have same ratio.

<u>Question 1</u>

  • DE/EG = CE/EF
  • (6x + 3)/17 = (8x - 1)/21
  • 21(6x + 3) = 17(8x - 1)
  • 126x + 63 = 136x - 17
  • 10x = 80
  • x = 8
  • CE = 8*8 - 1
  • CE = 63

<u>Question 2</u>

  • KM/MD = KZ/ZH
  • (x + 8)/21 = 32/28
  • x + 8 = 21*8/7
  • x + 8 = 24
  • x = 24 - 8
  • x = 16
5 0
3 years ago
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