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Dovator [93]
2 years ago
7

A group of penguins swam 4/5 mile in 1/3 hour. Use the table to find how many miles the penguins swam in one hour if they swam a

t about the same pace for the entire hour
Mathematics
2 answers:
professor190 [17]2 years ago
5 0

Answer:

2.4 miles

Step-by-step explanation:

Vinil7 [7]2 years ago
3 0

Answer:

2.4 miles

Step-by-step explanation:

This is a simple ratio problem.

Penguins go 4/5 mile in 1/3rd hour. <em>So how many miles will they go in 1 hour? Let that be x:</em>

<em>\frac{\frac{4}{5}}{\frac{1}{3}}=\frac{x}{1}\\\frac{1}{3}x=\frac{4}{5}\\x=\frac{4}{5}*3=\frac{12}{5}</em>

<em />

<em>That is 12/5 miles or 2  2/5 miles</em>

<em>In decimal, that's </em><em>2.4 miles</em>

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Complete the table for the given rule. Rule: y=X/4(fraction)
Lady_Fox [76]

Answer:

\large\huge\boxed{\begin{array}{c|c}x&y\\\\4&1\\\\2&\frac{1}{2}\\\\9&\frac{9}{2}\end{array}}

Step-by-step explanation:

y=\dfrac{x}{4}

Put the values of x from the table to the equation:

x=4\to y=\dfrac{4}{4}=1\\\\x=2\to y=\dfrac{2}{4}=\dfrac{2:2}{4:2}=\dfrac{1}{2}\\\\x=9\to y=\dfrac{9}{4}

From the comment.

Convert the equation:

y=\dfrac{x}{4}    <em>multiply both sides by 4</em>

4y=x\to x=4y

Put the values of y from the table to the equation:

y=4\to x=(4)(4)=16\\\\y=2\to x=(4)(2)=8\\\\y=9\to x=(4)(9)=36

\large\huge\boxed{\begin{array}{c|c}x&y\\\\16&4\\\\8&2\\\\36&9\end{array}}

3 0
3 years ago
As part of the underwriting process for insurance, each prospective policyholder is tested for high blood pressure. Let X repres
xxTIMURxx [149]

Answer:

0.053

Step-by-step explanation:

This is a geometric distribution problem.

I'm geometric distribution problem,

E(X) = 1/p

Where;

E(X) is expected value and p is probability of success

Thus;

1/p = 12.5

p = 1/12.5

p = 0.08

Now, to find the probability that the sixth person tested is the first one with high blood pressure, we will use the probability formula in geometric distribution which is;

P(X = k) = qⁿ•p

q = 1 - p

q = 1 - 0.08

q = 0.92

Thus;probability that the sixth person tested is the first one with high blood pressure will be expressed as;

P(X > 5) = (0.92^(5)) × 0.08

P(X > 5) = 0.053

3 0
3 years ago
If h is 36in, w is 28in, and A is 6112in to the second power, what is the length of the box
OlgaM077 [116]
The length of the box would be 12288.
5 0
3 years ago
The graph of which function(s) will contain the point (4, 12)? y = x + 8 y = 3x y = 2x y = x + 6
Alex777 [14]

Answer:

y=x+8  and y=3x

Step-by-step explanation:

The Given point is (4,12)

now we can substitute the point in each of the function and check wether it lies on it or not.

A.  y=x+8

substitute y=12,x=4

12=4+8=12 which is true

B.  y=3x

substitute y=12,x=4

12=3*4=12 which is true

C.  y=2x

substitute y=12,x=4

12=2*4=8  which is not true

D.  y=x+6

substitute y=12,x=4

12=4+6=10 . which is not true

Therefore option A and B are correct.

4 0
3 years ago
I need both of these questions answered I also HATE links so please don’t put any down(;´༎ຶٹ༎ຶ`)
Mademuasel [1]
The first one is 12.5%

the second one is .18
3 0
3 years ago
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