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SCORPION-xisa [38]
3 years ago
11

Suppose the linear cost function C(x) = 6x gives the cost for buying x items. If the items are sold in packages of 10, and no on

e can buy more than 5 packages, then the RANGE of the function C is
Mathematics
2 answers:
Damm [24]3 years ago
6 0
X=the number of packages of 10. So: 1 ≾ x ≾ 5.
lorasvet [3.4K]3 years ago
5 0

Answer: D {0,60,120,180,240,300}

Step-by-step explanation: They come in packages of 10 and you can get 5.

6x10=60

6x20=120

6x30=180

6x40=240

6x50=300

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Based on the diagram below, what is the interior measure of ∠Y ?
nordsb [41]

Answer:

∠Y = 104°

Step-by-step explanation:

vertical angles are equal ⇒ ∠DAN = ∠SAY = 48°

Sum of interior angles of a triangle = 180°

⇒ ∠SYA + 56 + 48 = 180

⇒ ∠SYA = 76°

Angles on a straight line add up to 180°

⇒ ∠Y + ∠SYA = 180°

⇒ ∠Y + 76 = 180

⇒ ∠Y = 104°

4 0
3 years ago
Is the point (5,-3) on the circle defined by (x-5)^2+(y+3)^2=4
Mariulka [41]
It can be defined by the equation.

3 0
3 years ago
Lucia has 10 dimes and nickels worth a total of $0.60. Use the graph to find the number of dimes and nickels that Lucia has.
Reil [10]
The system has one solution, so it is consistent independent. The graphs intersect at the point (2, 8), which can be checked algebraically. Complete a table of values for each line.

The point (2, 8) is the solution to the system of equations. Since (2, 8) is the solution to the system of equations, Lucia has 2 dimes and 8 nickels. 

hope it helps :) feel free to ask anymore questions 

5 0
3 years ago
A survey reported that 5% of Americans are afraid of being alone in a house at night. If a random sample of 20 Americans is sele
liq [111]

Answer:

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are afraid of being alone at night, or they are not. The probability of a person being afraid of being alone at night is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

5% of Americans are afraid of being alone in a house at night.

This means that p = 0.05

If a random sample of 20 Americans is selected, what is the probability that exactly 3 people in the sample are afraid of being alone at night.

This is P(X = 3) when n = 20. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

5 0
3 years ago
If x = 2, y = 3 and z = 5, calculate the following: 5x - z
nikdorinn [45]
5*2 - 5
5*2=10
10-5=5
5 0
3 years ago
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