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My name is Ann [436]
3 years ago
9

Briana finished the race one and forty - five hundredths of a second before Allison, Dana finished three tenths of a second afte

r Alison. Allison finished the race in 12.08 seconds. What were the other girls' times? Use a math tool (number line) to show your thinking.
Mathematics
2 answers:
Rainbow [258]3 years ago
8 0
Brianna finished in 10.63 seconds
statuscvo [17]3 years ago
7 0
Well Briana would have finished at 10.63 seconds (meaning she would have won XD)
Three-tenths can also be expressed as 0.3, and 0.3 + 12.08 is 12.38.
Hope this helps!! <3
You might be interested in
Write a phrase as a algebraic expression.4 times the sum of a number and 20.
Deffense [45]

4(20 + x)

PLEASE RATE AS THE BRAINLIEST ANSWER! THANK YOU! :)

4 0
3 years ago
the ratio of boys to girls in Ms.Smith`s class is 3 to 4.If there are 12 boys,how many girls are there?
Anvisha [2.4K]
The question says boys/girls = 3/4 so if there are 12 boys in the class you can say:
3/4 = 12/? 
and ? is the number of girls which is equal to:
? = 12*3/4 = 9 
so if there are 12 boys in the class we will have 9 girls in the class :)))
i hope this is helpful 
have a nice day
7 0
3 years ago
The navy reports that the distribution of waist sizes among male sailors is approximately normal, with a mean of 32.6 inches and
grandymaker [24]

Answer:

a) 87.49%

b) 2.72%

Step-by-step explanation:

Mean of the waist sizes = u = 32.6 inches

Standard Deviation of the waist sizes = \sigma = 1.3 inches

It is given that the Distribution is approximately Normal, so we can use the z-distribution to answer the given questions.

Part A) A male sailor whose waist is 34.1 inches is at what percentile

In order to find the percentile score of 34.1 we need to convert it into equivalent z-scores, and then find what percent of the value lie below that point.

So, here x = 34.1 inches

The formula for z score is:

z=\frac{x-u}{\sigma}

Using the values in the above formula, we get:

z=\frac{34.1-32.6}{1.3}=1.15

Thus, 34.1 is equivalent to z score of 1.15

So,

P( X ≤ 34.1 ) =  P( z ≤ 1.15 )

From the z-table we can find the probability of a z score being less than 1.15 to be: 0.8749

Thus, the 87.49 % of the values in a Normal Distribution are below the z score of 1.15. For our given scenario, we an write: 87.49% of the values lie below 34.1 inches.

Hence, the percentile rank of 34.1 inches is 87.49%

Part B)

The regular measure of waist sizes is from 30 to 36 inches. Any measure outside this range will need a customized order.  We need to find that what percent of the male sailors will need a customized pant. This question can also be answered by using the z-distribution.

In a normal distribution, the overall percentage of the event is 100%. So if we find what percentage of values lie between 30 and 36, we can subtract that from 100% to obtain the percentage of values that are outside this range and hence will need customized pants.

First step is again to convert the values to z-scores.

30 converted to z scores will be:

z=\frac{30-32.6}{1.3}=-2

36 converted to z score will be:

z=\frac{36-32.6}{1.3}=2.62

So,

P ( 30 ≤ X ≤ 36 ) = P ( -2 ≤ z ≤ 2.62 )

From the z table, we can find P ( -2 ≤ z ≤ 2.62 )

P ( -2 ≤ z ≤ 2.62 ) = P(z ≤ 2.62) - P(z ≤ -2)

P ( -2 ≤ z ≤ 2.62 ) = 0.9956 - 0.0228

P ( -2 ≤ z ≤ 2.62 ) = 0.9728

Thus, 97.28% of the values lie between the waist sizes of 30 and 36 inches. The percentage of the values outside this range will be:

100 - 97.28 = 2.72%

Thus, 2.72% of the male sailors will need custom uniform pants.

The given scenario is represented in the image below. The black portion under the curve represents the percentage of male sailors that will require custom uniform pants.

3 0
3 years ago
On a recent quiz, the class mean was 74 with a standard deviation of 3.7. Calculate the z-score (to 2 decimal places) for a pers
Licemer1 [7]
<h3>Answer:  -0.81</h3>

Work Shown:

z = (x - mu)/sigma

z = (71 - 74)/(3.7)

z = -0.8108  approximately

z = -0.81

7 0
3 years ago
Pls help asap!! pic is shown
dsp73

The points (-5, 1), (-2, 4), (2, 4), and (-5, 1) gives the piecewise defined function as the second option;

g(x) = x + 6, when x < -2

g(x) = x², when -2 ≤ x < 2

g(x) = 6 - x, when x ≥ 2

<h3>How can the correct piecewise defined function be found?</h3>

Parts of the function are:

x < -2

Slope = (4-1)/(-2-(-5)) = 1

Equation is: g(x) - 4 = x - (-2)

g(x) - 4 = x + 2

g(x) = x + 2 + 4 = x + 6

  • g(x) = x + 6

In the region, -2 ≤ x < 2, points on the graph are;

(-2, 4), (0, 0), (2, 4)

The above points corresponds with the function;

  • g(x) = x²

In the region x ≥ 2, we have;

Slope = -1

Equation is: g(x) - 4 = -1×(x - 2) = 2 - x

Therefore;

g(x) = 4+2 - x = 6 - x

  • g(x) = 6 - x

The rule for the piecewise defined function is therefore;

  • g(x) = x + 6, when x < -2
  • g(x) = x², when -2 ≤ x < 2
  • g(x) = 6 - x, when x ≥ 2

The correct option is therefore the second option;

Learn more about piecewise defined functions here:

brainly.com/question/11207865

#SPJ1

3 0
1 year ago
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