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horsena [70]
3 years ago
13

write the equations of these parabolas in vertex form: • focus at (-5,-3), and directrix y = -6 • focus at (10,-4), and directri

x y = 6​
Mathematics
1 answer:
motikmotik3 years ago
6 0

Answer:

y=0.12/1(x-5)^2 -3

y=1/10(x-10)^2 -4

Step-by-step explanation:

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In semiconductor manufacturing, wet chemical etching is often used to remove silicon from the backs of wafers prior to metalizat
Viktor [21]

Answer:

Sample mean for solution 1:  19.27; sample mean for solution 2:  10.32

Step-by-step explanation:

To find the sample mean, find the sum of the data values and divide by the sample size.

For solution 1, the sum is given by:

9.7+10.5+9.4+10.6+9.3+10.7+9.6+10.4+10.2+10.5 = 192.7

The sample size is 10; this gives us

192.7/10 = 19.27

For solution 2, the sum is given by:

10.6+10.3+10.3+10.2+10.0+10.7+10.3+10.4+10.1+10.3 = 103.2

The sample size is 10, this gives us

103.2/10 = 10.32

6 0
3 years ago
Center -c (3,-2), radius 4. ​
taurus [48]

Answer:

(x-3)^2+(y+2)^2=16

Step-by-step explanation:

center (h,k) radius r

(x-h)^2+(y-k)^2=r^2

6 0
3 years ago
Answer this please please
zloy xaker [14]

Answer:

x is less than -3

Step-by-step explanation:

3x^2+9x<0

x^2+3x<0

x(x+3)<0

x+3<0

x<-3

6 0
2 years ago
In a recent survey, 64 % of the community favored building a police substation in their neighborhood. If 14 citizens are chosen,
kozerog [31]

Answer: 0.1840

Step-by-step explanation:

The binomial probability formula :-

P(X)=^nC_x\ p^x(1-p)^{n-x}, here n is the number total of trials , p is the probability of getting success in each trial and P(x) is the probability of getting success in x trial.

Given : The probability of the community favored building a police substation in their neighborhood = 0.64

If 14 citizens are chosen, then the probability that exactly 8 of them favor the building of the police substation will be :-

P(8)={14}^C_{8}\ (0.64)^{8}(1-0.64)^{14-8}\\\\=\dfrac{14!}{8!6!}\times(0.64)^8(0.36)^{6}\\\\0.183996740126\approx0.1840

Hence, the probability that exactly 8 of them favor the building of the police substation = 0.1840

5 0
4 years ago
For the month of October Lisa plan to go running every fifth day and walk every sixth day. If she begins on October 1, on what d
Tomtit [17]

Answer:

October 30 is the day of the month she will run and walk during the same day.

Step-by-step explanation:

To determine what day of the month will she run and walk during the same day, we will list the days she plans to go running and the days she plans to walk.

From the question,  Lisa plan to go running every fifth day and walk every sixth day, then

If she begins on October 1, the days she will run will be

October 5, October 10, October 15, October 20, October 25, and October 30;

while the days she will walk will be

October 6, October 12, October 18, October 24, and October 30.

Since October 30 occurred among the days she will run and walk, then October 30 is the day of the month she will run and walk during the same day.

4 0
4 years ago
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