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aleksley [76]
3 years ago
8

Enola bought snacks for her team's practice. She bought a bag of oranges for $2.06 and a 3-pack of juice bottles. The total cost

before tax was $5.06. Write and solve an equation which can be used to determine xx, how much each bottle of juice costs.
Mathematics
1 answer:
Vikki [24]3 years ago
6 0

Answer:

Each bottle of juice costs $1

Step-by-step explanation:

5.06-2.06=3

$3 divided by 3 juice boxes = $1 per juice box

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Given parallel lines, which pair of angles are congruent?
Talja [164]

transversal angles

Step-by-step explanation:

When two or more lines are cut by a transversal, the angles which occupy the same relative position are called corresponding angles . When the lines are parallel, the corresponding angles are congruent .

4 0
3 years ago
Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that th
IgorLugansk [536]

Answer:

a) 0.32 = 32% probability that your bid will be accepted

b) 0.72 = 72% probability that your bid will be accepted

c) An amount in excess of $15,400.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,400 and $15,400.

This means that a = 10400, b = 15400

a. Suppose you bid $12,000. What is the probability that your bid will be accepted (to 2 decimals)?

You will win if the competitor bids less than 12000. So

P(X \leq 12000) = \frac{12000 - 10400}{15400 - 10400} = 0.32

0.32 = 32% probability that your bid will be accepted

b. Suppose you bid $14,000. What is the probability that your bid will be accepted?

You will win if the competitor bids less than 14000. So

P(X \leq 14000) = \frac{14000 - 10400}{15400 - 10400} = 0.72

0.72 = 72% probability that your bid will be accepted

c. What amount should you bid to maximize the probability that you get the property (in dollars)?

His bid is uniformly distributed between $10,400 and $15,400.

So, to maximize the probability that you get the property, you should bid an amount in excess of $15,400.

6 0
3 years ago
Need help with this slide about proofs explanation would be nice aswell.
Sunny_sXe [5.5K]

Answer:

1. AB ~= DF

2. Definition of Congruent

3. Reflexive Property of Congruency

4 BD=BD

6. AB+BD=AD; DF+BD=BF

7. Substitution Property of Equality

8. Definition of Congruent

Step-by-step explanation:

1. The given always goes first, and that's the first reason, so AB ~= DF must be the first statement (that should be the congruency symbol).

2. The definition of congruent is that if they are congruent then they are equal. Since that statement made two congruent lines equal, it must be the definition.

3. The reflexive property means something is congruent to itself, and BDis BD, therefore it is the reflexive property.

4. Remember if something is congruent then it is equal.

6. The segment addition postulate states that if we are given two points on a line segment, then AB+AC=AC.

7. In this statement AD was substituted for DF+BD. This can be done because of AB=DF and BD=BD as aforementioned.

8. If two things are congruent then they are equal by definition of congruency.

6 0
3 years ago
If 33% of the members of Sweetheart Union sign petitions to decertify the union, the National Labor Relations Board will call an
Elis [28]

Answer:

There is no need to call for election.

Step-by-Step Explanation

Surveys are based on probability or statistics. It serves as a standard tool for experimental research in marketing, social sciences and official data statistics.

Since 8 out of 40 members of the Sweetheart Union will sign the petition, the percentage of those who will sign the petition is calculated below:

\frac{8}{40}*100=20\%

Based on the sample survey, only 20 percent of the members will sign the petition. Since, in the sample, the number of those who will sign is less than 33%, the union should be told that there is no need for the National Labor Relations Board to call for the election.

5 0
4 years ago
-5,-2 5,-4 what's the slope
bekas [8.4K]

Answer:

Slope = -1/5

Step-by-step explanation:

(-5, -2)(5, -4)

Slope: \frac{y^{2}-y^{1}  }{x^{2}- x^{1} } = \frac{-4-(-2)}{5-(-5)} =\frac{-4+2}{5+5} =\frac{-2}{10}=-\frac{1}{5}

7 0
3 years ago
Read 2 more answers
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