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Vlad1618 [11]
3 years ago
12

Please Help- K + ⅓ = 5 ⅛ | K = ? Show Your Reasoning.

Mathematics
1 answer:
blondinia [14]3 years ago
8 0

Answer:

4\frac{19}{24}

Step-by-step explanation:

I hope I did this right:

So first thing to do is set up the equation.

K + \frac{1}{3} = 5\frac{1}{8}

Next thing to to is subtract 1/3 from both sides to get:

K = 5\frac{1}{8} - \frac{1}{3}

Next up, you will multiply each of the fractions by the opposing value

(multiply 1/8 by 3 and 1/3 by 8)

K = 5\frac{3}{24}-\frac{8}{24}

Alright almost done, by multiplying 24 by 5 you get 120, that will go in the numerator to make the math a lot easier.

K = \frac{123}{24}-\frac{8}{24}

Finally, you subtract 123 over 24 by 8 over 24.

K = \frac{123}{24} - \frac{8}{24} = \frac{115}{24}

Then just simplfy the 115/24 to get

4\frac{19}{24}

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If p = .3 within a binomial process, what is the probability of obtaining exactly five successes in 20 trials?
kiruha [24]
The answer to this is C
8 0
4 years ago
Variance is: Multiple Choice the average squared deviations about the mean of a distribution of values. an empirically testable
DENIUS [597]

Multiple choice answers are clearly defined as below for clarity:

A. the average squared deviations about the mean of a distribution of values.

B. an empirically testable statement that is an unproven supposition developed in order to explain certain phenomena.

C. the error made by rejecting the null hypothesis when it is true.

D. a statement that asserts the status quo; that is, any change from what has been thought to be true is due to random sampling order.

E. a statement that is the opposite of the null hypothesis

Answer:

A. The average squared deviations about the mean of a distribution of values.

Explanation:

A. the average squared deviations about the mean of a distribution of values. Correct

Standard deviation is how data is distributed around the mean. It is also the square root of the Variance. Therefore, the variance is the square of the standard deviation which is distributed around the mean.

B. an empirically testable statement that is an unproven supposition developed in order to explain certain phenomena. Incorrect

This is false as this is rather the definition for hypothesis.

C. the error made by rejecting the null hypothesis when it is true. Incorrect

This is false as this is the definition for the probability of committing a type I error

D. a statement that asserts the status quo; that is, any change from what has been thought to be true is due to random sampling order. Incorrect

This is false as this defines what a null hypothesis is.

E. a statement that is the opposite of the null hypothesis. Incorrect

The opposite of the null hypothesis is alternative hypothesis.

6 0
3 years ago
Helpppppppp here plz
miv72 [106K]

Answer:

x + x+12 + 3(x+12) = 123

x = 15

Step-by-step explanation:

Jamil : x

Kiera : x+12

Luther : 3 ( x+12)

x + x+12 + 3(x+12) = 123

Distribute

x + x+12 + 3x+36 = 123

Combine like terms

5x+ 48 = 123

Subtract 48 from each side

5x+48-48 = 123-48

5x =75

Divide by 5

5x/5 = 75/5

x = 15

7 0
3 years ago
Read 2 more answers
2. John and Jen went to the farmers market to buy fruit. John bought 3 boxes of oranges and 9 boxes of cherries for $78. Jen bou
jenyasd209 [6]

Answer:

Let the cost of orange be X and cost of cherry be y

3x + 9y = 78

8x + 4y = 58

Solving equation using elimination method

multiplying eq 1 with 8 and eq 2 with 3

8(3x + 9y ) = 78(8)

3( 8x + 4y) = 3(58)

24x + 72 y = 624

24x + 12y = 174

subtracting,

60 y = 450

y = 7.5

3x + 9(7.5) = 78

3x + 67.5 = 78

3x = 78 - 67.5

3x = 10.5

x = 3.5

<h2>Box of orange = $3.5 </h2><h2>Box of cherry = $7.5</h2>
7 0
2 years ago
A father's age now is three times the age that his son was four years ago. In 12 years, the father will be twice as old as his s
irina1246 [14]

Answer:

Now, the father is 60, and the son is 24.

Step-by-step explanation:

Now:

Father's age = f

Son's age = s

4 years ago:

Father's age = f - 4

Son's age = s - 4

In 12 years:

Father's age = f + 12

Son's age = s + 12

Now:

f = 3(s - 4)

In 12 years:

f + 12 = 2(s + 12)

We have 2 equations that we can solve in a system of equations.

f = 3(s - 4)

f + 12 = 2(s + 12)

f = 3s - 12

f + 12 = 2s + 24

f = 3s - 12

f = 2s + 12

Since above both equations are in terms of f, set the right sides equal and solve for s.

3s - 12 = 2s + 12

s = 24

f = 3(s - 4)

f = 3(24 - 4)

f = 3(20)

f = 60

Now, the father is 60, and the son is 24.

8 0
2 years ago
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