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3 years ago

13

Shaun spins the two spinners and wins the sum of two dallor amounts. what is the probability that he will win a sum greater than

$100?

1 answer:

padilas [110]3 years ago

3 0

Yes because 100 can be 55+87=142$ see

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At 2 PM, a thermometer reading 80°F is taken outside where the air temperature is 20°F. At 2:03 PM, the temperature reading yiel

Alexeev081 [22]

Use Law of Cooling:
$T(t) = (T_0 - T_A)e^{-kt} +T_A$
T0 = initial temperature, TA = ambient or final temperature

First solve for k using given info, T(3) = 42
$42 = (80-20)e^{-3k} +20 \\ \\ e^{-3k} = \frac{22}{60}=\frac{11}{30} \\ \\ k = -\frac{1}{3} ln (\frac{11}{30})$

Substituting k back into cooling equation gives:
$T(t) = 60(\frac{11}{30})^{t/3} + 20$

At some time "t", it is brought back inside at temperature "x".
We know that temperature goes back up to 71 at 2:10 so the time it is inside is 10-t, where t is time that it had been outside.
The new cooling equation for when its back inside is:
$T(t) = (x-80)(\frac{11}{30})^{t/3} + 80 \\ \\ 71 = (x-80)(\frac{11}{30})^{\frac{10-t}{3}} + 80$
Solve for x:
$x = -9(\frac{11}{30})^{\frac{t-10}{3}} + 80$
Sub back into original cooling equation, x = T(t)
$-9(\frac{11}{30})^{\frac{t-10}{3}} + 80 = 60 (\frac{11}{30})^{t/3} +20$
Solve for t:
$60 (\frac{11}{30})^{t/3} +9(\frac{11}{30})^{\frac{-10}{3}}(\frac{11}{30})^{t/3} = 60 \\ \\ (\frac{11}{30})^{t/3} = \frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}} \\ \\ \\ t = 3(\frac{ln(\frac{60}{60+9(\frac{11}{30})^{\frac{-10}{3}}})}{ln (\frac{11}{30})}) \\ \\ \\ t = 4.959$

This means the exact time it was brought indoors was about 2.5 seconds before 2:05 PM

8 0

4 years ago

What are the two steps to solving a proportion

iren [92.7K]

Answer:

Since the cross-products are equal to each other, the two ratios are equivalent.

...

Look at the proportion on the right.

Solve it. (You may use the calculator below.)

Then enter your answer and press the "Enter" or "Return" key on your keyboard.

Press the "New problem" button to get a new problem.

8 0

3 years ago

Read 2 more answers

Graph a line with a slope of 1/4 that contains the point (6,3)

g100num [7]

Answer:

see below

Step-by-step explanation:

The slope is the ratio of "rise" to "run" for the line. It can work well to start at the given point and find other points that have a "rise" of 1 for each "run" of 4.

A couple of points like that are (2, 2) and (-2, 1).

5 0

3 years ago

Write a number (in standard form) that has the digit 7 in the thousands place. Use the digit 7 only once.

Evgesh-ka [11]

Answer:

7123

Step-by-step explanation:

The only requirement is to have 7 in the thousands place, which I've done, and the rest of the numbers can be any number you choose!

8 0

3 years ago

how many grams of pure water must be added to 40 grams of a 10% saline aokution to make a saline solution tha is 5% salt?

goblinko [34]

Answer:

40

Step-by-step explanation:

1) the basic is: the mass of the salt before pure water is added = the mass of the salt after the pure water is added;

2) the mass of the salt before pure water is added was:

40*0.1;

3) the mass of the salt after pure water is added is:

(40+w)*0.05, where w - the required mass of pure water;

4) if the mass of the salt is the same, then:

40*0.1=(40+w)*0.05;

5) if to evaluate the equation:

(w+40)*0.05=4; ⇔ w+40=80; ⇔ w=40 gr.

7 0

3 years ago