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Svetlanka [38]
3 years ago
14

The total mass of raisins in a package is Normally distributed, with a mean of 520 grams and a standard deviation of 5 grams.

Mathematics
1 answer:
alexira [117]3 years ago
5 0

Answer:1.41

Step-by-step explanation:

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At 7:00 A.M., Alicia pours a cup of tea whose temperature is 200°F. The tea starts to cool to room temperature (72°F). At 7:02 A
NeTakaya

Answer:

Part A

The most correct option is;

b. y = 128(0.989)x + 72

Part B

Ella can drink the tea after 7:22

Step-by-step explanation:

Here we have the temperature variation with time given in an exponential equation as follows;

Let the temperature at time x (in minutes) = y

Therefore, y = a × mˣ + b

Where:

b = Shift of the curve or the limit value of the decreasing exponential function as x → ∞

When y = 200, x = 0

Therefore. 200 = a × m⁰ + c = a + c

We note that c is the shift of the graph, the value upon which temperature increases = final temperature = 72°F

Hence a = 200 - 72 = 128°F

When y = 197, x = 2 minutes

Therefore, 197 = 128·m² + 72 =

m² = (197 - 72)/128 = 125/128

m = √(125/128) = 0.98821

Hence the exponential equation of cooling is presented in the following equation;

y = 128 × (0.98821)ˣ + 72

Therefore, the most correct option is b. y = 128(0.989)x + 72

Part B

When the temperature is 172°F we have;

172 = 128 × (0.989)ˣ + 72

∴ (0.989)ˣ = (172 - 72)/128 = 100/128 = 25/32

log(0.989)ˣ = log(25/32)

x·log(0.989) = log(25/32)

x = log(25/32)/log(0.989) = 22.32 minutes

Hence Ella can drink the tea after 7:22.

6 0
3 years ago
Here are the scores that a group of teenagers earned on a driver’s education test.
svet-max [94.6K]
176 and 180 all the other numbers are good
3 0
3 years ago
The ordered pairs (t, 36), (5, 45) represent a proportional relationship. Find the value of t.
olasank [31]
The answer for t is 4 and the proportional relationship is 9
6 0
3 years ago
Read 2 more answers
Rewrite the equations in slope-intercept form. Determine the slope.
notsponge [240]
This should have been worth more points, but anyways, here are the answers. Please give thanks :)

1.)Y = 5 - 3X<span>
2.) Y= </span><span>3X - 4</span><span>
3.) Y = 7 - X
4.) Y = -5X 
5.) Y = </span>X +6 <span>
6.) Y = 5 -3X
7.) Y = 2 +</span>\frac{4}{3}<span>X
8.) </span>Y = \frac{1}{2}X - 3<span>
9.) Y= 2 - [</span>tex] \frac{2}{3} [/tex]<span>
10.) Y  = 1 - 5X
11.) Y = 2 - </span>\frac{1}{3}<span>X
12.) Y = -5 -2X
13.) Y = X - 6
14.) Y = </span>\frac{10}{3}<span> -2X
15.) Y = 2 +</span>\frac{4}{3}<span>X
16.) Y = 2 +</span>\frac{4}{3}<span>X
17.) Y = 1 - 5X
18.) Y = </span>[<span>tex] \frac{3}{4} [/tex]</span>X + 2


5 0
3 years ago
The circumference of a circle is 71 π m. What is the area, in square meters? Express your answer in terms of π.​
Svetach [21]
The area of the circle is 1260.25 π m^2
8 0
2 years ago
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