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babymother [125]
3 years ago
15

A runner is 7/8 miles from the finish line.

Mathematics
1 answer:
stepan [7]3 years ago
6 0
So basically you have to see how the person is built but in average it will took like 12minutes
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Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t
gavmur [86]

Answer:

x=-7

Step-by-step explanation:

We have been given an equation y=2x^2+28x+96. We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

2x^2+28x+96=0

Dividing both sides by 2:

x^2+14x+48=0

Splitting the middle term:

x^2+6x+8x+48=0

(x^2+6x)+(8x+48)=0

x(x+6)+8(x+6)=0

(x+8)(x+6)=0

Using zero product property:

(x+8)=0\text{ (or) }(x+6)=0

x+8=0\text{ (or) }x+6=0

x=-8\text{ (or) }x=-6

Therefore, the zeros of the given equation are x=-8\text{ (or) }x=-6.

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

\frac{-8+(-6)}{2}=\frac{-14}{2}=-7

Therefore, the equation x=-7 represents the line of symmetry of the given parabola.

4 0
3 years ago
Using the z table, find the critical value for a=0.024 in a left tailed test
natita [175]

Answer:

Critical value is -1.98.

Step-by-step explanation:

Given:

The value of alpha is, \alpha=0.024

Now, in order to find the critical value, we need to subtract alpha from 1 and then look at the z-score table to find the respective 'z' value for the above result.

The probability of critical value is given as:

P(critical)=1-\alpha=1-0.024=0.976

So, from the z-score table, the value of z-score for probability 0.976 is 1.98.

Now, in a left tailed test, we multiply the z value by negative 1 to arrive at the final answer. We do so because the area to the left of mean in a normal distribution curve is negative.

So, the z-score for critical value 0.024 in a left tailed test is -1.98.

7 0
3 years ago
a species of cicada has a life cycle of 17 years a parasite that harms the cicada has a life cycle of 4 years if the last known
irga5000 [103]

Answer:

What grade are you in.  and let me see the choices

Step-by-step explanation:

3 0
2 years ago
I am a number less than 100. I am a product of two prime numbers. If you reversemy digits, I am a prime. The sum of my digits is
almond37 [142]

Answer:

You are number 34

Step-by-step explanation:

* Lets explain how to solve the problem

- The number is less than 100

∴ The number is 2-digit  number

- The number is the product of 2 prime numbers

∴ The two prime numbers could be two of these numbers:

   2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , 31 , 37 , 41 , 43

∵ The number is less than 100

∴ The two prime numbers are 1-digit numbers OR one of them

   is 1-digit and the other is 2-digit

- The sum of its digits is a 1-digit

∴ The sum of its digits is less than 10

- One of its digit is a square number

∴ One of its digit is 1 or 4 or 9 because they are square numbers

* Look to the prime number above the number and chose two of

  them try to find the answer

- Start with the product of 1-digit prime numbers

∵ 2 and 7 are prime numbers

∵ 2 × 7 = 14 and the sum of its digits is less than 10 (1 + 4 = 5)

∵ 14 < 100

∵ The reversed of its digits obtained 41 which is a prime number

∵ 4  and 1 are a square number (1² = 1 or 2² = 4)

∴ The number is not 14

- Chose one of them 1-digit and the other 2-digit

∵ 2 and 17 are prime numbers

∵ 2 × 17 = 34 and the sum of its digits is less than 10 (3 + 4 = 7)

∵ 34 < 100

∵ The reversed of its digits obtained 43 which is a prime number

∵ 4 is a square number (2² = 4)

∴ The number is 34

* You are number 34

4 0
3 years ago
How many lines of symmetry does an H have?
Katena32 [7]

H has two lines of symmetry

Going vertical and horizontal.

Hope that helped!

3 0
3 years ago
Read 2 more answers
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