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Papessa [141]
3 years ago
12

Given the quadratic function

Mathematics
1 answer:
hjlf3 years ago
5 0

The vertex is (-4,-3)

The axis of symmetry is x=-4

and the transformations are:

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How many ways can 6 people sit on a bench if 3 of them have to sit side by side
pickupchik [31]

Answer:

144 ways

Step-by-step explanation:

Let's think of the 3 persons sitting together as "one". So essentially we have 3 + "1" = "4" persons to arrange.

THey can be arranged in 4! ways, which is:

4! = 4 * 3 * 2 * 1 = 24 ways

Now, the 3 persons themselves can be arranged in 3! ways, which is:

3! = 3 * 2 * 1 = 6 ways

Total ways = 4! * 3! = 24 * 6 = 144 ways

4 0
3 years ago
Suppose an automotive repair company wants to determine the current percentage of customers who keep up with regular vehicle mai
Nina [5.8K]

Answer: 1692

Step-by-step explanation:

Formula to find the sample size :

n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2

Given : Confidence level : (1-\alpha)=0.90

⇒ significance level =\alpha= 0.10

z-value for 90% confidence interval (using z-table)=z_{\alpha/2}=1.645

Prior estimate of the population proportion (p) of customers who keep up with regular vehicle maintenance is unknown.

Let we take p= 0.5

Margin of error : E= 2%=0.02

Now, the required sample size will be :

n=0.5(1-0.5)(\dfrac{1.645}{0.02})^2

Simplify , we get

n=(0.25)(6765.0625)=1691.265625\approx1692

Hence, the required sample size = 1692

8 0
4 years ago
Read 2 more answers
I need help on this its 7th grade math
icang [17]

Answer:

b

Step-by-step explanation:

$5.28 for 3 corn (divide)

the rate per corn is 1.76 ($1.76 for each corn)

the x value is the amount of corn and the y value represents the price for the amount of corn. If you multiply each x value by 1.76 only one will equal the given y value

8 0
3 years ago
Please help me with this
Yuliya22 [10]
Answer is B. Bc it's 72/12 =.5
8 0
3 years ago
Carlos is going for a walk. He walks for
seraphim [82]
I pretty sure the answer is 3.2 hours. I'm not completely sure though....
3 0
3 years ago
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