MATHEMATICS
MIDDLE SCHOOL

Answer: Total numbers = 32

We are to select 7 numbers at a time. Selecting 7 numbers from a group of 32 is a combination problem. It is similar to making combination of 32 objects taken 7 at a time.

So total possible combinations of 7 numbers can be calculated as 32C7.

32C7 = 3365856

Only 1 combination can match the randomly selected combination.

So, the probability that he combination of 7 numbers will match the seven randomly selected balls =

We are to select 7 numbers at a time. Selecting 7 numbers from a group of 32 is a combination problem. It is similar to making combination of 32 objects taken 7 at a time.

So total possible combinations of 7 numbers can be calculated as 32C7.

32C7 = 3365856

Only 1 combination can match the randomly selected combination.

So, the probability that he combination of 7 numbers will match the seven randomly selected balls =

HIGH SCHOOL

What does the computer do when it executes the following statement: x = y + 5 A. retrieves the value of y B. calculates the total of 5 and the value of y C. stores the result of the calculation in the variable x D. all of the above

Answer:

D. all of the above

Step-by-step explanation:

In a programming software, depending on the type of input or coding given, the software application has the power to executes the following statement:

when the coding/input state x = y + 5

the computer will

A. retrieves the value of y (the value of y will have been stated earlier)

B. calculates the total of 5 and the value of y (sum the value of y with 5)

C. stores the result of the calculation in the variable x (store the result of value of x in case if it is been call for again, or store nit until a new value is gotten for x)

them, the computer can either print out the result of xor wait for the next action.

the correct option for this question is D. all of the above

HIGH SCHOOL

pleaseeee help please for f(x) = x2 and g(x) = (x − 3)2, in which direction and by how many units should f(x) be shifted to obtain g(x)? a) left 3 units b) right 3 units c) up 3 units d) down 3 units

F(x) should be shifted right 3 units.

Answer:

Right 3 units.

HIGH SCHOOL

You toss a coin, then roll a dice, and then draw a card from a 52-card deck. how many different outcomes are there? how many outcomes are there in which the dice lands on ? how many outcomes are there in which the dice lands on an odd number? how many outcomes are there in which the dice lands on an odd number and the card is a king

There are many outcomes

COLLEGE

At 5:00 a.m., the temperature outside was 66° F. By noon, the temperature had risen to 87° F. Which equation models the temperature y at time x?

Answer: Equation representing the temperature y at time x is

Step-by-step explanation:

Since we have given that

At 5:00 a.m., the temperature outside was 66° F.

At x = 5, y = 66

By noon, the temperature had risen to 87° F.

At x = 12, y = 87

We will find "Slope of line first ":

So, Equation that models the temperature y at time x would be

Hence, equation representing the temperature y at time x is

If so, 87 - 66 = 21 / (12-5) = 3 degrees Fahrenheit per hour.