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jolli1 [7]
3 years ago
5

A successful basketball player has a height of 6 feet 88 ​inches, or 203203 cm. based on statistics from a data​ set, his height

converts to the z score of 4.104.10. how many standard deviations is his height above the​ mean
Mathematics
1 answer:
Dafna11 [192]3 years ago
7 0
The z-score is defined as the number of standard deviations above the mean. Its formula is z = (x - mean) / (standard deviation). So if we are given that this player's height has a z-score of 4.10 relative to others, this means that his height is 4.10 standard deviations above the mean.
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Graph this function:f(x)=x2-4x-5.
elena-14-01-66 [18.8K]

here is your answer to this question

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3 years ago
Given that the straight line 2x + 3y-10=0 intersects the x - axis at P. Find the
tino4ka555 [31]

Answer:

P(5, 0 )

Step-by-step explanation:

Where the line crosses the x- axis the y- coordinate of the point P is zero.

Substitute y = 0 into the equation and solve for x

2x + 3(0) - 10 = 0 , that is

2x - 10 = 0 ( add 10 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

Thus P = (5, 0 )

3 0
3 years ago
Lily swims for 5 hours in stream that has a current of 1 mph. She leaves her dock, swims upstream for 2 miles and then swim back
antiseptic1488 [7]

Answer:

Swimming speed in still water is approximately 1.5 mph

Step-by-step explanation:

Given the speed of the current = 1 mph

distance she swims upstream =2 miles,

the total time = 5 hours.

She swam 2 miles upstream against the  current and 2 miles back to the dock with  the current. The formula that relates  distance, time, and rate is d = r t\ \ \ \ or  \ \ \  t= \frac{d}{r}

Let x be the speed in still water.

Then  her speed with the current is x + 1, and

her speed against the current is x – 1.

Total time is equal to 2 miles with upstream and 2 miles downstream.

\frac{2}{x+1}+\frac{2}{x-1}=5\\\\\frac{2(x-1)}{(x+1)(x-1)}+\frac{2(x+1)}{(x-1)(x+1)}=5\\\\\frac{2x-2}{(x^2-1)}+\frac{2x+2)}{(x^2-1)}=5\\\\\frac{2x-2+2x+2)}{(x^2-1)}=5\\\\4x=5(x^2-1)\\4x= 5x^2-5\\0= 5x^2-4x-5

Now Using quadratic formula to solve above equation we get;

x= \frac{-b \±\sqrt{b^2-4ac}} {2a}\\\\here \ \ a= 5,b=-4,c=-5\\\\x= \frac{-(-4) \±\sqrt{(-4)^2-4\times 5\times-5}} {2\times5}\\\\x=\frac{4 \±\sqrt{16+100}} {10}\\\\x=\frac{4 \±\sqrt{116}} {10}=x=\frac{4 \±2\sqrt{29}} {10}= x=\frac{2 \±\sqrt{29}} {5}\\ x \approx 1.5 \ or \ x = -0.7

Since speed must be positive, Hence speed of still water is about 1.5 miles per hour.

3 0
3 years ago
Number 16: complete the table
soldier1979 [14.2K]

Answer:

7.5

Step-by-step explanation:

8 0
3 years ago
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Based on the information provided in the net worth statement, what is the net worth of this person?
BigorU [14]

To find this person's net worth, you will add the assets together to get a total value of what they are worth. Then you will need to subtract the amount of liability (amount owed).


( $487,500 + $265000) - $445500

$307000

This person's net worth is $307000.

5 0
3 years ago
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