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Nookie1986
4 days ago
6

Alexis put $2000 in a savings account. After 4 years, she had $2543 in the account. What rate of interest did she earn? Use the

formula A= Pe^rt, where A is the ending amount, P is the principal (initial amount), r is the interest rate, and t is time.
Mathematics
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Mr.Rowley has 16 homework papers and 14 exit tickets to return. Ms. Rivera has 64 homework papers and 60 exit tickets to return.
Svet_ta [12734]
Mr. Rowley
16:14

Ms. Rivera
64:60

Upon simplifying 64:60, it becomes 16:15.
64/4 = 16
60/4 = 15

They are not equivalent since Ms. Rivera holds 1 more exit ticket than Mr. Rowley.
8 0
2 months ago
At an ocean-side nuclear power plant, seawater is used as part of the cooling system. This raises the temperature of the water t
Zina [12379]

Answer:

(a1) The chance that the temperature rises by less than 20°C is 0.667.

(a2) The probability of the temperature increase falling between 20°C and 22°C is 0.133.

(b) The likelihood that the temperature increase could be hazardous at any moment is 0.467.

(c) The anticipated value of the temperature rise is 17.5°C.

Step-by-step explanation:

Let X denote the temperature increase.

The random variable X is distributed uniformly over the interval [10°C, 25°C].

The probability density function for X is shown here:

f(X)=\left \{ {{\frac{1}{25-10}=\frac{1}{15};\ x\in [10, 25]} \atop {0;\ otherwise}} \right.

(a1)

The probability of the temperature increase being under 20°C can be calculated as follows:

P(X

Consequently, the chance that the temperature increase will be below 20°C is 0.667.

(a2)

The probability of the temperature rise being in the range from 20°C to 22°C is computed as follows:

P(20

This leads to the probability of the temperature increase being between 20°C and 22°C being 0.133.

(b)

To find the probability that the increase in temperature could be dangerous, we calculate:

P(X>18)=\int\limits^{25}_{18}{\frac{1}{15}}\, dx\\=\frac{1}{15}\int\limits^{25}_{18}{dx}\,\\=\frac{1}{15}[x]^{25}_{18}=\frac{1}{15}[25-18]=\frac{7}{15}\\=0.467

This results in a probability of 0.467 that the temperature rise is potentially dangerous at any time.

(c)

The expected value of the uniform random variable X is determined as follows:

E(X)=\frac{1}{2}[10+25]=\frac{35}{2}=17.5

The expected value for the temperature increase computes to 17.5°C.

7 0
3 months ago
3x−8≤23 OR −4x+26≥6 solve for x
Leona [12618]

Response:

x  ≤ 31/3

Detailed explanation:

5 0
4 months ago
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The height of the CN tower is about 550 m. What is the height of the CN tower in a scale drawing if the scale is 1:11000?
Svet_ta [12734]
With a height exceeding 550 meters, the CN Tower held the title for the tallest free-standing structure globally until the Burj Khalifa was completed in 2010, reaching 828 meters, making it the largest man-made structure ever.
4 0
2 months ago
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