1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Norma-Jean [14]
2 years ago
10

Steven warms a cup of a coffee to a temperature of 195°F and then leaves it to cool in a room that is 75°F. This equation repres

ents the
temperature, T, of the coffee in the cup after x minutes.
T = 75 + 120e-0.051
After how many minutes will the temperature of the coffee be approximately 141°F?
Mathematics
2 answers:
serg [7]2 years ago
7 0

Answer:

12 minutes

Step-by-step explanation:

worty [1.4K]2 years ago
6 0

Answer:

12 minutes

Step-by-step explanation:

First substitute 141°F for T in the given equation.

Then isolate the exponential term.

Now rewrite the equation as a natural log, and solve for x.

You might be interested in
How would you write .54545454... (Repeating) as a fraction? Please explain the process!
Pani-rosa [81]
You would write .54 with a line across the 54 because that's the number repeating
5 0
3 years ago
Yasmine needs to create invitation for the party. She has 3/4 of an hour to make the invitations. It takes her 1/12 of an hour t
aivan3 [116]

Answer:

one card takes 1/12 of an hour or 60/12=5 minutes.

she has 3/4 of an hour or 60×3/4=45 minutes

number of cards she can make =45/5=9

6 0
2 years ago
Read 2 more answers
Round each number to the nearest ten and estimate the sum.
Katen [24]
I think its a. Good luck!
6 0
2 years ago
If anyone could plz help ill really appreciate it
Flura [38]

Answer:

Help with what is it mental help? Or no cause I’ve dealt with that a lot

Step-by-step explanation:

3 0
2 years ago
A bag contains 4 blue marbles and 2 yellow marbles. Two marbles are randomly chosen (the first marble is NOT replaced before dra
VMariaS [17]

Answer:

0.4 = 40% probability that both marbles are blue.

0.0667 = 6.67% probability that both marbles are yellow.

53.33% probability of one blue and then one yellow

If you are told that both selected marbles are the same color, 0.8571 = 85.71% probability that both are blue

Step-by-step explanation:

To solve this question, we need to understand conditional probability(for the final question) and the hypergeometric distribution(for the first three, because the balls are chosen without being replaced).

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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)!}

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

What is the probability that both marbles are blue?

4 + 2 = 6 total marbles, which means that N = 6

4 blue, which means that k = 4

Sample of 2, which means that n = 2

This is P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,6,2,4) = \frac{C_{4,2}*C_{2,0}}{C_{6,2}} = 0.4

0.4 = 40% probability that both marbles are blue

What is the probability that both marbles are yellow?

4 + 2 = 6 total marbles, which means that N = 6

2 yellow, which means that k = 2

Sample of 2, which means that n = 2

This is P(X = 2). So

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 2) = h(2,6,2,2) = \frac{C_{2,2}*C_{4,0}}{C_{6,2}} = 0.0667

0.0667 = 6.67% probability that both marbles are yellow.

What is the probability of one blue and then one yellow?

Total is 100%.

Can be:

Both blue(40%)

Both yellow(6.67%)

One blue and one yellow(x%). So

40 + 6.67 + x = 100

x = 100 - 46.67

x = 53.33

53.33% probability of one blue and then one yellow.

If you are told that both selected marbles are the same color, what is the probability that both are blue?

Conditional probability.

Event A: Both same color

Event B: Both blue

Probability of both being same color:

Both blue(40%)

Both yellow(6.67%)

This means that P(A) = 0.4 + 0.0667 = 0.4667

Probability of both being the same color and blue:

40% probability that both are blue, which means that P(A \cap B) = 0.4

Desired probability:

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.4}{0.4667} = 0.8571

If you are told that both selected marbles are the same color, 0.8571 = 85.71% probability that both are blue

8 0
2 years ago
Other questions:
  • A dealer paid $10000 for a boat at an auction. At the dealership, a salesperson sold the boat for 30% more than the auction pric
    7·1 answer
  • In triangle ABC find b to the nearest degree given a=7 b=10 and c is a right triangle
    10·2 answers
  • 45/4 simplified what is the answer
    11·1 answer
  • determine the quadratic function f whose graph is given. the vertex is (2,-7) and the y-intercept is -3
    10·1 answer
  • A model train uses a scale of 148. One car of the model train is 6 inches long
    15·1 answer
  • Will mark brainliest....what is the value of x?!?!?!
    15·1 answer
  • Please answer!!<br> I’ll give brainlist!
    11·1 answer
  • I need the answer fast
    11·1 answer
  • Plz help and no link PLZ NO LINKS thank you;-;
    8·1 answer
  • Is (x + 2) a factor of x + 6x2 + 3x – 10?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!