A number is divisible by 3 if the sum of the digits of the number is divisible by 3.

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Answer 1

Answer: I believe the answer the the question A number is divisible by 3 if the sum of the digits of the number is divisible by 3. Is 504, it makes sense

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Rachel is recording the temperature at her school every morning this week. On Monday, the temperature was 5°C. Part A: On Wednesday, Rachel calculated that the temperature was 13 degrees colder than Monday. What temperature did Rachel record on Wednesday? Part B: On Friday, Rachel calculated that the temperature was 4 degrees warmer than Wednesday. What temperature did Rachel record on Friday?

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Answer:

Part A: -8

Part B: -4

Step-by-step explanation:

$5-13=-8$

$-8+4=-4$

Which of the following values cannot be probabilities? 0.04, 5 divided by 3, 1, 0, 3 divided by 5, StartRoot 2 EndRoot, negative 0.59, 1.49 Select all the values that cannot be probabilities. A. 1.49 B. 1 C. three fifths D. StartRoot 2 EndRoot E. five thirds F. 0 G. negative 0.59 H. 0.04

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Answer:

A. 1.49

D. √2

E. five thirds

G. - 0.59

Step-by-step explanation:

In order to be a probability, a value must be at least zero, or at most 1:

$0 \leq P\leq 1$

Evaluating each of the given values:

A. 1.49

1.49 is at least zero but it is greater than one, therefore 1.49 cannot be a probability.

B. 1

1 represents a probability of 100%, therefore this value can be a probability

C. three fifths

$0\leq (3)/(5) \leq 1$

Can be a probability

D. √2

$\sqrt 2 =1.41 > 1$

Cannot be a probability

E. five thirds

$(5)/(3)=1.67>1$

Cannot be a probability

F. 0

0 represents a probability of 0%, therefore this value can be a probability

G. - 0.59

Negative values cannot be probabilities.

H. 0.04

$0\leq 0.04 \leq 1$

Can be a probability

Final answer:

Probabilities are values ranging from 0 to 1, inclusive. With this in mind, values 5/3, √2, -0.59, and 1.49 cannot be probabilities as they're either below 0 or above 1.

Explanation:

In the field of mathematics, specifically in statistics, a probability represents the likelihood of an event occurring and is always a value between 0 and 1, inclusively. The value 0 means that an event will not happen, whilst 1 means the event is certain to happen. Therefore, any value less than 0 or greater than 1 cannot be a probability.

Given the values: 0.04, 5 divided by 3, 1, 0, 3 divided by 5, √2, negative 0.59, and 1.49, the values that cannot be probabilities are:

Value 5 divided by 3 (which equals approximately 1.67)
Value √2 (which equals approximately 1.41)
Negative 0.59
1.49

These numbers do not lie within the range of 0 to 1, and hence, cannot represent probabilities.

Learn more about Probability here:

brainly.com/question/22962752

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Consider the optimization problem where A m × n , m ≥ n , and b m . a. Show that the objective function for this problem is a quadratic function, and write down the gradient and Hessian of this quadratic.

b. Write down the fixed-step-size gradient algorithm for solving this optimization problem.

c. Suppose that Find the largest range of values for α such that the algorithm in part b converges to the solution of the problem.

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Answer:

Answer for the question :

Consider the optimization problem where A m × n , m ≥ n , and b m .

a. Show that the objective function for this problem is a quadratic function, and write down the gradient and Hessian of this quadratic.

b. Write down the fixed-step-size gradient algorithm for solving this optimization problem.

c. Suppose that Find the largest range of values for α such that the algorithm in part b converges to the solution of the problem.

is explained din the attachment.

Step-by-step explanation:

K = (°F + 460) ÷ 1.8 Find the temperature in Kelvin, on a balmy Autumn day, where the thermometer reads 56 Farenheit. A) 286.67 Kelvin. B) 315.56 Kelvin. C) 884.00 Kelvin. D) 918.88 Kelvin.