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just olya [345]
3 years ago
15

Identify the vertex, axis of symmetry, maximum or minimum, and domain and range of the function. F(x)=2(x+9)^2 -4

Mathematics
1 answer:
ololo11 [35]3 years ago
6 0
Domain: (-∞,∞) Range: [4,∞) Vertex: (-9,-4) Axis of symmetry: x= -9 
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11 The wild tiger population in India increased from 1706 in the year 2010 to
IrinaK [193]
The percentage change is 20%
3 0
3 years ago
"You measure 34 dogs' weights, and find they have a mean weight of 67 ounces. Assume the population standard deviation is 13.5 o
liraira [26]

Answer:

The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96*\frac{13.5}{\sqrt{34}} = 4.54

The lower end of the interval is the sample mean subtracted by M. So it is 67 - 4.54 = 62.46 ounches.

The upper end of the interval is the sample mean added to M. So it is 67 + 4.54 = 71.54 ounces.

The 95% confidence interval for the true population mean dog weight is between 62.46 ounces and 71.54 ounces.

7 0
3 years ago
Julie ran 489 square feet how many square feet did Julie run rounded to the nearest 10 or 100
DerKrebs [107]

Answer:

490 or 500

Step-by-step explanation:

If we round to the 10th, Julie ran 490 feet.

I we round to the 100th, Julie ran 500 sq. ft.

5 0
3 years ago
Please help 10pts each
cestrela7 [59]
X=2

subtract 5x on both sides
-2x=-4
divide by -1 on both sides
2x=4
divide by 2 on both sides
x= 2
6 0
2 years ago
Read 2 more answers
Totsakan school is selling tickets to a choral performance on the first day of ticket sales the school sold 10 senior tickets an
ohaa [14]

Given :

On the first day of ticket sales the school sold 10 senior tickets and 1 child ticket for a total of $85 .

The school took in $75 on the second day by selling 5 senior citizens tickets and 7 child tickets.

To Find :

The price of a senior ticket and the price of a child ticket.

Solution :

Let, price of senior ticket and child ticket is x and y respectively.

Mathematical equation of condition 1 :

10x + y = 85    ...1)

Mathematical equation of condition 2 :

5x + 7y = 75    ...2)

Solving equation 1 and 2, we get :

2(2) - (1)   :

2( 5x + 7y - 75 ) - ( 10x +y - 85 ) = 0

10x + 14y - 150 - 10x - y + 85 = 0

13y = 65

y = 5

10x - 5 = 85

x = 8

Therefore, price of a senior ticket and the price of a child ticket $8 and $5.

Hence, this is the required solution.

 

5 0
3 years ago
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