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Angelina_Jolie [31]
2 years ago
5

On the first math test, Keiko answered 19 out of 20 correct. On which test did she get a better grade? Write a ratio in faction

form to compare the number correct to the total questions for each test.
Mathematics
2 answers:
frosja888 [35]2 years ago
3 0
The fraction for is 19/20
klasskru [66]2 years ago
3 0
It is nineteen out of twenty
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In a certain community, 36 percent of the families own a dog and 22 percent of the families that own a dog also own a cat. In ad
zysi [14]

Answer:  a) 0.0792   b) 0.264

Step-by-step explanation:

Let Event D = Families own a dog .

Event C = families own a cat .

Given : Probability that families own a dog : P(D)=0.36

Probability that families own a dog also own a cat : P(C|D)=0.22

Probability that families own a cat : P(C)= 0.30

a) Formula to find conditional probability :

P(B|A)=\dfrac{P(A\cap B)}{P(A)}\\\\\Rightarrow P(A\cap B)=P(B|A)\times P(A)   (1)

Similarly ,

P(C\cap D)=P(C|D)\times P(D)\\\\=0.22\times0.36=0.0792

Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792

b) Again, using (2)

P(D|C)=\dfrac{P(C\cap D)}{P(C)}\\\\=\dfrac{0.0792}{0.30}=0.264

Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264

5 0
3 years ago
What is the length of b
oksian1 [2.3K]

Answer:

b = 24

Step-by-step explanation:

<u>Concepts</u>

The Pythagorean Theorem states that the sum of the squares of the two other sides on a right triangle is equal to hypotenuse (longest side) squared. It can be represented by the equation a^2+b^2=c^2. We can also use this formula to solve for the other two legs in the right triangle.

<u>Application</u>

In this case, we're asked to find the length of b in the right triangle, given c as 26 and a as 10. Now, we just apply the formula and solve for b.

<u>Solution</u>

Step 1: Set up equation and simplify.

  • 10^2+b^2=26^2
  • 100+b^2=676

Step 2: Subtract 100 from both sides.

  • 100+b^2-100=676-100
  • b^2=576

Step 3: Take square root of both sides.

  • \sqrt{b^2} =\sqrt{576}
  • b=24

Therefore, b = 24.

4 0
1 year ago
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One carton of eggs contains 12 eggs.
noname [10]

Answer:

yes

Step-by-step explanation:

7 0
3 years ago
Ravi borrows $950 from his parents with a simple interest rate of %5. If it takes him 2 years to pay back the money, how much in
crimeas [40]

Answer:

he will owe $1,047 in total and $97.37 in interest

5 0
2 years ago
biked 4 ½ miles today, and biked 6 ¾ miles. How many times further did bike compared to ’ ride? SHOW YOUR WORK.
Tresset [83]

Answer: 2 1/4

Step-by-step explanation: first off change the 1/2 to 2/4. then subtract 6 3/4 to 4 2/4. which gives you 2 1/4

5 0
2 years ago
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