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Tpy6a [65]
3 years ago
7

Solve for x: |x + 2| + 16 = 14

Mathematics
2 answers:
Verizon [17]3 years ago
8 0

Answer:

no solution

Step-by-step explanation:

AlekseyPX3 years ago
5 0
| x + 2 | + 16 = 14....subtract 16 from both sides
| x + 2 | = 14 - 16
| x + 2 | = -2

answer is NO SOLUTION because an absolute value cannot equal a negative number
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The phone lines to an airline reservation system are occupied 45% of the time. Assume that the events that the lines are occupie
dimaraw [331]

Answer:

0.1569 = 15.69%

Step-by-step explanation:

If eight calls were placed, and we need to know the probability of exactly two calls were occupied, we need to calculate a combination of 8 choose 2 (all the combinations of 2 occupied calls in the 8 total calls), and multiply by the probability of each case in the 8 calls (2 cases occupied and 6 cases not occupied):

P(8,2) = C(8,2) * p(occupied)^2 * p(not_occupied)^6

P(8,2) = (8*7/2) * (0.45)^2 * (0.55)^6

P(8,2) = 28 * 0.2025 * 0.02768 = 0.1569 = 15.69%

7 0
3 years ago
A large but sparsely populated county has two small hospitals, one at the south end of the county and one at the north end. The
Readme [11.4K]

Answer:

Step-by-step explanation:

Probability distribution of this type is a vicariate distribution because it specifies two random variable X and Y. We represent the probability X takes x and Y takes y by

f(x,y) = P((X=x,Y=y) ,

and given that the random variables are independent the joint pmf isbgiven by:

f(x,y) = fX(x) .fY(y) and this gives the table (see attachment)

(b) the required probability is given by considering X=0,1 and Y =0,1

f(x,y) = sum{(P(X ≤ 1, Y ≤ 1) }

= [0.1 +0.2 ] × [0.1 + 0.3]

= 0.3 × 0.4

= 0.12

Now we find

fX(x) = sum{[f(x.y)]} for y =0, 1 and similarly for fY(y)= sum{[f(x,y)]} for x=0, 1

fX(x) = sum{[f(x,y)]}= 0.1+0.3

= 0.4

fY(y) = sum{[f(x.y)]} = 0.1 + 0.2

= 0.3

Since fY(y) × fX(x) = 0.4 × 0.3

= 0.12

Hence f(x,y) = fX(x) .fY(y), the events are independent

(c) the required event is give by: [P(X<=1, PY<=1)]

= P(X<=1) . P(Y<=1)

= [sum{[f(x.y]} over Y=0,1] × [sum{[f(x.y)]}, over X= 0, 1

= 0.4 × 0.3

= 0.12

(d) the required event is given by the idea that: either The South has no bed and the North has or the the North has no bed and the South has. Let this event be A

A =sum[(P(X = 1<= x<= 4, Y =0)] + sum[P(X =0 Y= 1 <= x <= 3)]

A = [0.02 + 0.03 + 0.02 + 0.02] + [0.03 + 0.04 + 0.02]

A = [0.09] + [ 0.09]

A = 0.18

Pls note the sum of the vertical column X=2 is 0.3

3 0
3 years ago
I ONLY NEED HELP ON NUMBER 2
REY [17]
So, the area of a circle is a=pi r^2
so do that and get a=pi(4)
and since the circle touches the edge of the rectangle, the rectangle is 4 cm tall, so 4*8 is 32 and pi(4) is about 12.56, so 32-12.56 is 19.44, and I believe that is the answer. (19.4)
4 0
3 years ago
Read 2 more answers
I need help on this one please
saw5 [17]

Answer:

B

Step-by-step explanation:

When looking at the number line, we can see the distance between A and B is one unit

A |-2| + |-1| = 2+1 =3    That is not 1 unit

B 2-1  =1  that is  1 unit

C  -2 + -1 = -3  that is not 1 unit

D  |-1| - (-2) = 1 + 2 =3  that is not 1 unit

Even though it says all expressions,  there is only 1 that shows a distance of 1 unit

6 0
3 years ago
Elsa took out a 4-year loan to buy a car at a 7.25% simple interest rate. If she has to pay $2,900 in interest. How much interes
ryzh [129]

Answer:

her life

Step-by-step explanation:

6 0
2 years ago
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