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NISA [10]
3 years ago
9

Ben is training for a triathlon he runs 1/5 of a mile in 1/20 of an hour he swims 2/3 of a mile in 1/9 of an hour he bikes for m

iles in 1/4 of an hour at these rates how many minutes does it take Ben to run 2 miles and bike 8 miles?
Mathematics
1 answer:
Rashid [163]3 years ago
3 0

Answer:120 minutes

Step-by-step explanation:

You see it's math

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Artemon [7]
The answer is -3x^2+10xy+8y^2
3 0
3 years ago
I need help pls help
Snezhnost [94]

Answer:

c.

Step-by-step explanation:

hope this helps

3 0
2 years ago
Read 2 more answers
The temperature of coffee served at a restaurant is normally distributed with an average temperature of 160 degrees Fahrenheit a
posledela

Answer:

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.  

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 160 degrees

Standard Deviation, σ = 5.4 degrees

We are given that the distribution of temperature of coffee is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

We have to find the value of x such that the probability is 0.2

P( X < x) = P( z < \displaystyle\frac{x - 160}{5.4})=0.2  

Calculation the value from standard normal z table, we have,  

\displaystyle\frac{x - 160}{5.4} = -0.842\\\\x = 155.4532  

Thus,

P_{20}=155.4532

The 20th percentile of coffee temperature is 155.4532 degrees Fahrenheit.

7 0
3 years ago
I am trying to understand how to solve for X, then solve the equation
Alina [70]

Answer:

x = 16

m<Y = 34°

Step-by-step explanation:

∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:

<X = <Z

(6x - 23)° = (4x + 9)

Solve for x

6x - 23 = 4x + 9

Collect like terms

6x - 4x = 23 + 9

2x = 32

Divide both sides by 2

x = 16

m<Y = 180° - (m<X + m<Z) (sum of ∆)

m<Y = 180 - ((6x - 23) + (4x + 9))

Plug in the value of x

m<Y = 180 - ((6(16) - 23) + (4(16) + 9))

m<Y = 180 - (73 + 73)

m<Y = 34°

5 0
3 years ago
True or False The Solutions, Roots, X-intercepts and zeros of a quadratic equation are all the same thing? why
Zepler [3.9K]

Yes, solutions, roots, x-intercepts, and zeros are the same thing.

<h3>What is a quadratic equation?</h3>

The general quadratic equation is given by:

a*x^2 + b*x + c = 0

So the solutions are the values of x such that the above thing is zero.

On another hand, a parabola or a quadratic function is given by:

a*x^2 + b*x + c = y

The roots, zeros, or x-intercepts (these represent the same thing) are given by:

a*x^2 + b*x + c = 0

  • Zero or Root means that when you evaluate the function in that value the outcome is zero.
  • X-intercept means that for that value of x, the function intercepts the x-axis, so the function is equal to zero.

So these are the values of x such that the function becomes equal to zero, so these are exactly the same thing as the solutions of a quadratic equation.

Concluding, yes, solutions, roots, x-intercepts, and zeros are the same thing.

If you want to learn more about quadratic functions, you can read:

brainly.com/question/1214333

8 0
2 years ago
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