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Svetllana [295]
3 years ago
5

Need help with problem asap

Mathematics
1 answer:
Elina [12.6K]3 years ago
6 0
It’s proportional because it has a common rate. the 200 square foot room multiplied by the $3 for each square foot would be 600 and same with the 300 square foot house that costs $900. it has a common factor or rate
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When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal. During one
Triss [41]

Answer:

0.82 = 82% probability that at least one party will not order drinks

Step-by-step explanation:

For each party, there are only two possible outcomes. Either they will order drinks with their meal, or they will not. The probability of a party ordering drinks with their meal is independent of other parties. So the binomial probability distribution is used 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.

When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal.

This means that p = 0.75

During one hour, Ryan served 6 parties. Assuming that each party is equally likely to order drinks, what is the probability that at least one party will not order drinks?

6 parties, so n = 6.

Either all parties will order drinks, or at least one will not. The sum of the probabilities of these events is decimal 1. So

P(X = 6) + P(X < 6) = 1

We want P(X < 6). So

P(X < 6) = 1 - P(X = 6)

In which

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

P(X = 6) = C_{6,6}.(0.75)^{6}.(0.25)^{0} = 0.18

P(X < 6) = 1 - P(X = 6) = 1 - 0.18 = 0.82

0.82 = 82% probability that at least one party will not order drinks

5 0
3 years ago
Read 2 more answers
Help me with my review please
Greeley [361]

Answer:

GHF = EDF

Step-by-step explanation:

Those two tringles are the only even triangles.

4 0
3 years ago
Point Q is the center of dilation. Lines segment S U is dilated to form line segment S prime U prime. The length of Q S is 3 .2
tia_tia [17]

Answer:

Option C.

Step-by-step explanation:

It is given that the dilation rule is D_{Q,2.5}. It means the center of dilatation is point Q and scale factor is 2.5.

Scale factor is the ratio of distance from center to the image of a point and distance from center to the corresponding point.

\text{Scale factor}=\dfrac{QU'}{QU}

It is given that QU=4 and scale factor = 2.5.

2.5=\dfrac{QU'}{4}

Multiply both sides by 4.

2.5\times 4=QU'

10=QU'

We know that

UU'=QU'-QU

UU'=10-4

UU'=6

The distance between U' and U is 6 units.

Therefore, the correct option is C.

8 0
3 years ago
Read 2 more answers
(06.06 MC) The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below:
zheka24 [161]

Answer:

step 2

Step-by-step explanation:

theres a one in front of the () meaning it should have look like this

4+4x+2

7 0
3 years ago
I have no congruent sides. One of my angles has a measure of 100 degrees.
aliina [53]
The answer is a scalene triangle
5 0
3 years ago
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