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Elis [28]
4 years ago
6

An engineer is making adjustments on a satellite, because he finds it is not focusing the incoming radio waves perfectly. The sh

ape of his satellite can be modeled by the equation (y − 3)2 = 2(x − 2), where x and y are measured in inches. He realizes the static is a result of the feed antenna shifting lightly off the focus point. How many inches in front of the vertex should the feed antenna be?
Mathematics
1 answer:
vodomira [7]4 years ago
7 0

Answer:

The answer is 1/2 inches

Step-by-step explanation:

You might be interested in
13 ? start fraction, 13, divided by, 10, end fraction of a number is what percentage of that number?
zubka84 [21]

Answer:

The percentage is 130\%

Step-by-step explanation:

Let

x-----> the number

we have

\frac{13}{10}x=1.3x

To find the percentage multiply by 100

1.3*100=130\%

7 0
3 years ago
In how many ways can a subcommittee of 6 students be chosen from a committee which consists of 10 senior members and 12 junior m
givi [52]

Answer:

The number of ways is 13860 ways

Step-by-step explanation:

Given

Senior Members = 10

Junior Members = 12

Required

Number of ways of selecting 6 students students

The question lay emphasis on the keyword selection; this implies combination

From the question, we understand that

<em>4 students are to be selected from senior members while 2 from junior members;</em>

The number of ways is calculated as thus;

<em>Ways = Ways of Selecting Senior Members * Ways of Selecting Junior Members</em>

<em />Ways = ^{10}C_4 * ^{12}C2

Ways = \frac{10!}{(10-4)!4!)} * \frac{12!}{(12-2)!2!)}

Ways = \frac{10!}{(6)!4!)} * \frac{12!}{(10)!2!)}

Ways = \frac{10 * 9 * 8 * 7 *6!}{(6! * 4*3*2*1)} * \frac{12*11*10!}{(10!*2*1)}

Ways = \frac{10 * 9 * 8 * 7}{4*3*2*1} * \frac{12*11}{2*1}

Ways = \frac{5040}{24} * \frac{132}{2}

Ways = 210 * 66

Ways = 13860

<em>Hence, the number of ways is 13860 ways</em>

7 0
3 years ago
Improper fraction for 3 1/14
TEA [102]

Answer: 43/14

Step-by-step explanation: You take you 3 and times it by 14 and + 1 because the equation is saying 14/14 3 times plus the 1/14,

So 3 times 14=42

42+1=43 and then you take the 43 and put it over the 14 so now you have your answer: 43/14

5 0
3 years ago
Read 2 more answers
For the following distribution,
Musya8 [376]

Answer:

Option B) 0.63

Step-by-step explanation:

We are given the following in the question:

X:            0          1           2            3

P(x):   0.027   0.189    0.441     0.343

We have to find the variance for the given discrete probability distribution.

E(X) = \displaystyle\sum x_iP(x_i)\\\\E(X) = 0(0.027) + 1(0.189) + 2(0.441) + 3(0.343)\\E(X) = 2.1\\\\E(X^2) = \displaystyle\sum x_i^2P(x_i)\\\\E(X^2) = 0^2(0.027) + 1^2(0.189) + 2^2(0.441) + 3^2(0.343)\\E(X^2) = 5.04\\\\Var(X) = E(X^2) -[E(X)]^2\\Var(X) = 5.04 - (2.1)^2\\Var(X) = 0.63

The variance of given distribution is 0.63

8 0
3 years ago
Nina has been saving her earnings from her lemonade stand. Nina has 70 dollars to spend. If she buys a new hat for 15 dollars, h
natta225 [31]

Answer:

13 bows

Step-by-step explanation:

Given that she has 70 dollars, if she  buys a new hat for 15 dollars then the amount she would have left

= 70 - 15

= 55 dollars

If she is to buy bows with the remaining amount and each cost 4 dollars then the number of bows that can be bought

= 55/4

= 13 3/4

This means that she can buy 13 bows and will have 3 dollars left as the 13 will cost 52 dollars (13 * 4).

4 0
3 years ago
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