Titus works at a hotel. Part of his job is to keep the complimentary pitcher of water at least half full and always with ice. When he starts his shift, the water level shows 4 gallons, or 128 cups of water. As the shift progresses, he records the level of the water every 10 minutes. After 2 hours, he uses a regression calculator to compute an equation for the decrease in water. His equation is W –0.414t + 129.549, where t is the number of minutes and W is the level of water. According to the equation, after about how many minutes would the water level be less than or equal to 64 cups

Answers

Answer 1

Answer: The correct answer is:

t ≥ 158.33, or rounded, t ≥ 160.

Explanation:

The equation we're given is
W = -0.414t + 129.549, which an be written as
-0.414t + 129.549 = W.

We are asked to find the amount of time it would take for the water level to be less than or equal to 64 cups. Plugging this information in, we have:

-0.414t + 129.549 ≤ 64

To solve this, we first cancel 129.549 by subtracting from both sides:
-0.414t + 129.549 - 129.549 ≤ 64 - 129.549
-0.414t ≤ -65.549

Now divide both sides by -0.414:
-0.414t/-0.414 ≤ -65.549/-0.414
t ≥ 158.33

(When we multiply or divide both sides of an inequality by a negative number, we must flip the inequality symbol.)

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Answers

When you are given two points of a line, you can find the slope of the line.

Let's say that the two points we are given is $\sf(x_1,y_1) ~and ~(x_2,y_2)$ , then the slope is:

$\bf{Slope = (y_2-y_1)/(x_2-x_1)$

Another thing to keep in mind:

When you have 0 in the numerator, and a number in the denominator, that means that the slope is 0.
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A roadside vegetable stand sells pumpkins for$5 each and squashes for $3 each. One day they sold 6 more squash than pumpkins an their sales totaled $98 .write and solve a system if equations to find how many pumpkins and squash hey sold?

Answers

Let's take those 6 squashes. You get 98-6*3=80. Now you have an identical number of pumpkins and squashes. A pumpkin and a squash are sold, in total, for $8, so to get $80 you need 10 of each. You have 10 pumpkins and 10+6=16 squashes.

Answer:

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Select the postulate that is illustrated for the real numbers.
5•1=5

Answers

Answer:

Multiplication identity

Step-by-step explanation:

We are given that

$5\cdot 1=5$

We have to find which property of real number is used in given expression.

Multiplication identity: It is defined as the number by which multiply any number and get itself.

$a\cdot 1=1\cdot a=a$

Then, 1 is multiplication identity.

$5\cdot 1=5$

When we are multiplying 5 with 1 then we get 5.

Therefore, 1 is multiplication identity.

Hence, multiplication property of real numbers is used in given expression.

Multiplication Identity

Caleb types 100 words in 5 minutes. what is the unit rate?

Answers

20 words per minute is the answer

your answer is C.

Holps this helps :D

Consider the following pair of equations: x + y = −2
y = 2x + 10

If the two equations are graphed, at what point do the lines representing the two equations intersect?

(−4, 2)
(4, 2)
(−2, 4)
(2, 4)

Answers

hellooo..
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A survey of 1,000 men and women asked, "Do you earn over $50,000 per year?" The table below shows the responses for males and females:Male Female Total
Income over $50,000 485 385 870
Income below $50,000 65 65 130
Total 550 450 1,000

Based on these data, are "being male" and "earning over $50,000" independent events?

A) Yes, P(being male | the person earns over $50,000) ≠ P(being male)
B) Yes, P(being male | the person earns over $50,000) = P(being male)
C) No, P(being male | the person earns over $50,000) ≠ P(being male)
D) No, P(being male | the person earns over $50,000) = P(being male)

Will give a "Brainliest answer" to the first person to respond

Answers

Male Female    Total
Income over $50,000   485 385   870
Income below $50,000 65   65 130
Total   550 450   1,000

Probability of being male: 550/1000 = 0.55
Probability of earning over $50,000: 870/1000 = 0.87

0.55 x 0.87 = 0.4785

Probability of being male and earning over $50,000: 485/550 = 0.8818

C) No, P(being male | the person earns over $50,000) ≠ P(being male)

Based on the date given "being male" and "earning over $50,000" are NOT mutually exclusive events. That is "No, P(being male | the person earns over $50,000) ≠ P(being male)" (Option C)

What are mutually exclusive (or independent) events?

Two events are independent or mutually exclusive if they are distinct from one another and cannot alter the reaction of one another.

Calculation

Probability of being male: 550/1000 = 0.55
Probability of earning over $50,000: 870/1000 = 0.87

=0.55 x 0.87

= 0.4785

Thus, probability of being male and earning over $50,000

= 485/550

= 0.8818

Hence, we can state that P(being male | the person earns over $50,000) ≠ P(being male)

Learn more about mutually exclusive events at;
brainly.com/question/27588497
#SPJ5

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