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Setler [38]
3 years ago
12

Which ratio is equivalent to the unit rate 30 miles 1 gallon ? How was the unit rate transformed into the equivalent ratio? A) 3

gallons 10 miles ; by dividing the numerator and denominator of the unit rate by 10. B) 90 miles 5 gallons ; by multiplying the numerator and denominator of the unit rate by 3. Eliminate C) 6 gallons 180 miles ; by multiplying the numerator and denominator of the unit rate by 2. D) 180 miles 6 gallons ; by multiplying the numerator and denominator of the unit rate by 6.
Mathematics
2 answers:
Nataly_w [17]3 years ago
5 0
It will be D by multiplying the numerator and the denominator by the unit rate of 6
solong [7]3 years ago
3 0
D)180 miles 6 gallons ; by multiplying the numerator and denominator of the unit rate by 6.
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According to a recent study, 1 in every 10 women has been a victim of domestic abuse at some point in her life. Suppose we have
vitfil [10]

Answer:

The probability that more than 22 of the women sampled have not been the victim of domestic abuse is P=0.537.

Step-by-step explanation:

This problem can be modeled by a binomial random variable.

The probability p can be calculated as the proportion of women that <em>has not</em> been a victim of domestic abuse at some point in her life:

p=1-\dfrac{X}{n}=1-\dfrac{1}{10}=1-0.1=0.9

The sample size is n=25.

We want to calculate the probability that more than 22 of the women of the sample have not been victim of domestic abuse.

The probability that exactly k women have not been victim of domestic abuse can be calculated as:

P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{25}{k} 0.9^{k} 0.1^{25-k}\\\\\\

Then, the probability that more than 22 of the women sampled have not been the victim of domestic abuse is:

P(x>22)=P(x=23)+P(x=24)+P(x=25)\\\\\\P(x=23) = \dbinom{25}{23} p^{23}(1-p)^{2}=300*0.089*0.01=0.266\\\\\\P(x=24) = \dbinom{25}{24} p^{24}(1-p)^{1}=25*0.08*0.1=0.199\\\\\\P(x=25) = \dbinom{25}{25} p^{25}(1-p)^{0}=1*0.072*1=0.072\\\\\\\\P(x>22)=0.266+0.199+0.072=0.537

4 0
3 years ago
- K2 - (2k –5n) + 9n; k= -1 and n= - 3
NNADVOKAT [17]

Answer:

-41

Step-by-step explanation:

Given:

-k^2 -(2k -5n) +9n ; k = -1 \space \text{and} \space n = -3

-(-1)^2 -(2(-1) -5(-3)) +9(-3) \\ -(-1)^2 -(-2+15) +9(-3) \\ -(-1)^2 -(13) +9(-3) \\ -(1) -13 +9(-3) \\ -1 -13 -27 \\ -41

7 0
3 years ago
Read 2 more answers
Urgent two math help questions help needed!
lisabon 2012 [21]
For the first problem, the answer is choice A) 8
The notation "a32", with the "32" as a subscript, means "the address of row 3, column 2". The value that is in row 3, column 2 is the value 8. The row number is always listed first when it comes to addressing in matrices.

---------------------------------------------------------------------------------------

For the second problem, we can only add together matrix A and matrix D, as they are the same size (2x2 matrices). We cannot add any other pairs together because of the size mismatch. In order to add any two matrices, they must have the same number of rows and the same number of columns.

Another example would be adding two 3x1 matrices together. They both have 3 rows and 1 column. 
6 0
4 years ago
-10÷0.22 what is the answer​
Juliette [100K]

Answer:

-45.4545454545 *45 repeating*

Step-by-step explanation:

8 0
3 years ago
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-6x+5=47. What does x equal and how do I show my work
Scorpion4ik [409]

Answer:

X = -7

Step-by-step explanation:

-6x + 5 = 47

-6x +5 -5 = 47 - 5

-6x = 42

-6x/-6 = 42/-6

X = -7

8 0
3 years ago
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