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zhannawk [14.2K]
3 years ago
11

A tennis ball bounces based on this equation y = x2 - x+2. A dog jumps based on this equation y=2x.

Mathematics
1 answer:
valentina_108 [34]3 years ago
5 0

Answer: when the equations are equal, that is when  x = 1 or x = 2

Step-by-step explanation:

The dog will receive the ball , when both equations intercept , that is , when both equations are equal. This implies :

x^{2} - x + 2 = 2x

x^{2} - x - 2x + 2 = 0

x(x-1) - 2 (x - 1 ) = 0

(x - 1 ) ( x - 2 ) =0

Therefore , x = 1 or x = 2

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Solve for x. Assume that lines which appear to be diameters are actually diameters​
Dafna1 [17]

Answer: number 7. 7

Step-by-step explanation:

Simplifying

7X + 1 + -5X = 15

Reorder the terms:

1 + 7X + -5X = 15

Combine like terms: 7X + -5X = 2X

1 + 2X = 15

Solving

1 + 2X = 15

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + 2X = 15 + -1

Combine like terms: 1 + -1 = 0

0 + 2X = 15 + -1

2X = 15 + -1

Combine like terms: 15 + -1 = 14

2X = 14

Divide each side by '2'.

X = 7

Simplifying

X = 7

4 0
3 years ago
When rolling two six-sided number cubes, what is the probability of getting a sum of at least 5? 5/18 1/3 13/18 5/6
VashaNatasha [74]

The sample space for two six sided cubes =

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)


Now the favourable events are those where the sum is greater than or equal to 5.

It means

(1,4) (1,5) (1,6)

(2,3) (2,4) (2,5) (2,6)

(3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)


It means

favourable events = 30

and total possible events = 36


So probability = 30/36   = 5/6

Hence 4th option is the correct one.

3 0
3 years ago
Are 11.3 meters the same as 113 centimeters
galben [10]
No, it’s not the same.
8 0
2 years ago
Due to normality, the formula for computing z is the same for a single data value, as it is
katrin2010 [14]

Using the <u>Central Limit Theorem</u>, the statement is false, as for the averages of  the data values for a sample group, the standard error is s = \frac{\sigma}{\sqrt{n}}, hence, the formula is:

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

While for a single value, it is:

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

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

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

  • It measures how many standard deviations the measure is from the mean.  
  • After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

Hence, the formulas are different, and for an average of the data values for a sample group it is:

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

A similar problem is given at brainly.com/question/24663213

8 0
2 years ago
PLEASE ZOOM IN. pre cal:
Alexandra [31]

that is Venn diagram

so simple

3 0
2 years ago
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