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Brut [27]
3 years ago
14

Luisa's current swimming record is 12% faster than it was last year. If her record last year was 4 minutes and 23 seconds, what

is her record now? Round your answer to the nearest second.
Mathematics
1 answer:
Elden [556K]3 years ago
7 0
12% less since faster
100%-12%=88%

88% of 4 min and 23 sec=
0.88 times 263 seconds=
=231.44=3 minutes and 50 seconds rounded

3 mins, 50 seconds
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Elena has some bottles of water that each hold 17 fluid ounces.
Svet_ta [14]

Answer:

17b = w

Step-by-step explanation:

17 times the number of bottles = the number of ounces of water

Then you just plug in the numbers you are given

17(51) = w

17 x 51 = 867

<u>51 bottles of water holds 867 ounces</u>

<u />

17b = (51)

divide both sides by 17

51/17 = 3

b = 3

<u>It would take 3 bottles of water to hold 51 ounces</u>

6 0
2 years ago
What is a decimal that is equivalent to the fraction 3/100<br> ? Enter the answer in the box?
alexira [117]

Answer: your answer will be 0.03 hope this helpes

Step-by-step explanation:

5 0
2 years ago
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Let X be the number of the cars being repaired at a repair shop. We have the following information:
worty [1.4K]

Answer:

(a) Sample Space

S = \{0,1,2,3\}

(b) PMF

\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ {P(x)} & {1/3} & {1/6} & {1/6} & {1/3} \ \end{array}

(c) CDF

\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ {F(x)} & {1/3} & {1/2} & {2/3} & {1} \ \end{array}

Step-by-step explanation:

Solving (a): The sample space

From the question, we understand that at most 3 cars will be repaired.

This implies that, the number of cars will be 0, 1, 2 or 3

So, the sample space is:

S = \{0,1,2,3\}

Solving (b): The PMF

From the question, we have:

P(2) = P(1)

P(0) = P(3)

P(1\ or\ 2) = 0.5 * P(0\ or\ 3)

P(1\ or\ 2) = 0.5 * P(0\ or\ 3) can be represented as:

P(1) + P(2) = 0.5[P(0) + P(3)]

Substitute P(2) = P(1) and P(0) = P(3)

P(1) + P(1) = 0.5[P(0) + P(0)]

2P(1) = 0.5[2P(0)]

2P(1) = P(0)

P(0)= 2P(1)

Also note that:

P(0) + P(1) + P(2) + P(3) = 1

Substitute P(2) = P(1) and P(0) = P(3)

P(0) + P(1) + P(1) + P(0) = 1

2P(1) + 2P(0) = 1

Substitute P(0)= 2P(1)

2P(1) + 2*2P(1) = 1

2P(1) + 4P(1) = 1

6P(1) = 1

Solve for P(1)

P(1) = \frac{1}{6}

To calculate others, we have:

P(2) = P(1)

P(2) = P(1) = \frac{1}{6}

P(0)= 2P(1)

P(0) =2 * \frac{1}{6}P(0) =\frac{1}{3}

P(3) = P(0) =\frac{1}{3}

Hence, the PMF is:

\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ {P(x)} & {1/3} & {1/6} & {1/6} & {1/3} \ \end{array}

<em>See attachment (1) for histogram</em>

Solving (c): The CDF ; F(x)

This is calculated as:

F(x) = P(X \le x) =\sum\limit^{3}_{x_i \le x}  P(x_i)

For x = 0;

We have:

P(X \le 0) = P(0)

P(X \le 0) = 1/3

For x = 1

P(X \le 1) = P(0) + P(1)

P(X \le 1) =  1/3 + 1/6

P(X \le 1) =  1/2

For x = 2

P(X \le 2) =  P(0) + P(1) + P(2)

P(X \le 2) =  1/3 + 1/6 + 1/6

P(X \le 2) =  2/3

For x = 3

P(X \le 3) =  P(0) + P(1) + P(2) + P(3)

P(X \le 3) =  1/3 + 1/6 + 1/6 + 1/3

P(X \le 3) =  1

Hence, the CDF is:

\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ {F(x)} & {1/3} & {1/2} & {2/3} & {1} \ \end{array}

<em>See attachment (2) for histogram</em>

6 0
3 years ago
What is the distance from point Yto wx in the figure below?
Svetllana [295]
I’m not sure, I would try to help but I seem to have lost my notes.
7 0
3 years ago
Which system of inequalities is shown?
poizon [28]

\huge\green{\tt MathSolution:}

C. y < × y < 4

  • The graph of y = b is a horizontal line passing through the point (0, b) on the y-axis. To graph an equation of this form, such as y = 4, plot the point (0, b) on the y-axis and draw a horizontal line through it (see Example 4). If the equation is not in the form y = b, solve the equation for y. Vertical Lines: x = a.
  • ^^
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