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zhenek [66]
3 years ago
12

The length of one leg of a right triangle is 3 feet more than the other leg. If the hypotenuse is 15 feet, find the length of ea

ch leg
Mathematics
1 answer:
jeyben [28]3 years ago
8 0

Answer:

9 and 12

Step-by-step explanation:

Pythagorean Theorem. One of the most common Pythagorean triples is 3, 4, 5 with 3 and 4 the legs and 5 the hypoenuse. That will make 9, 12, 15 anotther trible because you are tripling the side lengths. 12-9=3 so this triangle works.

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I’m another normally distributed test score is 80 and the standard deviations is 10. How common are values in the less than 60?
lord [1]

Answer:

<em>The probability of obtaining a score less than 60 is 2.28% </em>

<em>It happens 2 out of 100 times.</em>

Step-by-step explanation:

If the mean μ = 80 and the standard deviation σ = 10, then we need to find the probability that an X value is less than 60.

Then we find

P(X

To find this probability we use the Z statistic.

Z = \frac{X- \mu}{\sigma}

P(\frac{X- \mu}{\sigma}

P(Z

This is the same as

P(Z> 2)

We look for this value in the table for the normal distribution of right queue and we have:

P(X  2) = 0.02275

<em>The probability of obtaining a score less than 60 is 2.28% </em>

<em>It happens 2 out of 100 times.</em>

6 0
3 years ago
A water tanker can fill
VikaD [51]

Answer:

56 mins

Step-by-step explanation:

Number of gallons of water in the pool per minute;

750 divided by 35 = 150/7

Let the time needed to fill a 1,200 gallon pool be t.

t x 150/7 = 1,200

t x 21.42857142857143... = 1,200

t = 1,200/21.42857142857143

t = 56 mins

6 0
3 years ago
2. Using what you learned in Question 1, try to write
aivan3 [116]

Answer:

Ans

Step-by-step explanation:

In Q. No. F, 1st page last step there is /2.

OK

7 0
2 years ago
Calculate the minimum value of the quadratic f(X)=x^2-6x+10<br>​
tangare [24]
The answer is (-3,-1)
8 0
3 years ago
What is the equation of a line that passes through (-2,1) and is parallel to y=3x-4
Rama09 [41]
If a line is parallel to another, the slopes of both lines are the same. So for this problem, you can infer that the slope of the line you're trying to find is 3.

To find the actual equation of the line, you can use the given coordinates and plug them into the point slope form:

y - y1 = m(x - x1)

plug the given y coordinate into y1 and the given x coordinate into x1. m is the slope, so plug in 3 for m.

y - 1 = 3(x +2) Use distributive property for right side of equation

y - 1 = 3x + 6 add 1 to both sides to cancel -1 on left side of equation and isolate y

Equation of line: y = 3x + 7


3 0
3 years ago
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