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Nat2105 [25]
2 years ago
15

valerie is ordering salads and drinks for her friends. salads cost $7 each, drinks cost $3 each, and there is a $5 delivery char

ge per order. she has $50. if she buys 3 salads, what is the maximum number of drinks she can buy?
Mathematics
1 answer:
jonny [76]2 years ago
8 0
Given:
salads : 7 each
drinks: 3 each
delivery charge : 5 per order
budget : 50

The inequality would look like this.

7x + 3y + 5 <u><</u> 50  

The total cost of the order should be less than or equal to 50.

x = 3

7(3) + 3y + 5 <u><</u> 50
21 + 3y +  5 <u><</u> 50
26 + 3y <u><</u> 50
<u>-26           -26</u>
         3y  <u><</u> 24
  <u>     ÷3       ÷3</u>
            y <u><</u> 8

The maximum number of drinks Valerie can buy is 8. 

1 order of 3 salads and 8 drinks for a total of 50.

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Anthony is informed that there is a 10% chance that he will be hired by the prestigious Acme corporation. He believes that, give
Korolek [52]

Answer:

8% probability that Anthony will soon be playing on the Acme golf team

Step-by-step explanation:

We have these following probabilities:

10% probability that he is hired by the corporation.

If he is hired by the corporation, an 80% probability that he will earn a spot on the golf team.

Given this information we can estimate that the likelihood that Anthony will soon be playing on the Acme golf team to be:

80% of 10%

So

P = 0.8*0.1 = 0.08

8% probability that Anthony will soon be playing on the Acme golf team

4 0
2 years ago
The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let x represent t
Galina-37 [17]

Answer:

x = 1, y = 60

Step-by-step explanation:

Value of new-releases (x) = $20 each

Value of classic (y) = $8 each

Total budget = $500

Equation : 20x + 8y = 500

The librarian wants to purchase maximum DVDs. She can get more DVDs of classic movies for $8 as they are less costly.

Lets assume the librarian buys at least one new-release DVD.

x=1

20x + 8y = 500

8y + 20(1) = 500

y = 60

<em>Therefore, in a budget of $500, the librarian can purchase 60 classic movies and 1 new-release.</em>

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8 0
2 years ago
A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12
marissa [1.9K]

Answer:

Step-by-step explanation:

Hello!

You have two random samples obtained from two different normal populations.

Sample 1

n₁= 15

X[bar]₁= 350

S₁= 12

Sample 2

n₂= 17

X[bar]₂= 342

S₂= 15

At α: 0.05 you need to obtain the p-value for testing variances for a one tailed test.

If the statistic hypotheses are:

H₀: σ₁² ≥ σ₂²

H₁: σ₁² < σ₂²

The statistic to test the variances ratio is the Stenecor's-F test. F_{H_0}=(\frac{S^2_1}{Sigma^2_1}) * (\frac{S^2_2}{Sigma^2_2} )~F_{n_1-1;n_2-1}

F_{H_0}= \frac{(12)^2}{(15)^2} * 1= 0.64

The p-value is:

P(F_{14;16}≤0.64)= 0.02

I hope it helps!

7 0
2 years ago
Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. Wh
Gekata [30.6K]

Answer:

not choosing all mysteries

Step-by-step explanation:

The complement of an event is the remaining possibilities.

Our event is Mariah choosing 3 mysteries.

The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.

7 0
2 years ago
Read 2 more answers
The graph shows two straight lines. The equation of line A is y = 2 - x Work out the equation of line B.
d1i1m1o1n [39]

Answer:

Step-by-step explanation:

The equation of a line can be easily found from the graph.  First, find two points on the line that intersect points on the graph, then plot the changes in the two axis in this manner (change in y)/(change in x), or rise/run.  Thus, the slope of this line is 5/3.  Then, the  b in y = mx + b is simply when the line intersects the y-axis, in this case -5.  Thus, the equation of the line is

y = -5/3x - 5

Hope it helps <3

(If it does please mark brainliest ._. :) )

5 0
2 years ago
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