01.01 LC)Look at the following numbers:

−2, −1, 0, 2

Which pair of numbers has a sum of 0? (5 points)
−1, 2
−2, 0
−2, 2
−1, 0

Answers

Answer 1
Answer:

Answer:

-2, 2

Step-by-step explanation:

The pair of numbers that sum = 0 is:

-2,2

-2 + 2 = 0

Answer 2
Answer:

Final answer:

In this Mathematics question, the given pairs of numbers were added individually to find the pair that sums up to 0. The pair that sums to 0 is -2 and 2.

Explanation:

In the field of Mathematics, the sum of two numbers is the result when those numbers are added together. In this particular question, you are given four options and need to find out which pair of numbers would add to give the sum of 0. The pairs and their sums are:

  • -1 + 2 = 1
  • -2 + 0 = -2
  • -2 + 2 = 0
  • -1 + 0 = -1

Therefore, the pair of numbers that has a sum of 0 is -2 and 2.

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Ten students begin college at the same time. The probability of graduating in four years is 63%. Which expanded expression shows the first and last terms of the expression used to find the probability that at least six will graduate in four years?

Answers

The first and last terms of the expanded expression for the probability that at least six students will graduate in four years are:

First term: C(10, 6) * (0.63)^6 * (1 - 0.63)^4

Last term: C(10, 10) * (0.63)^(10) * (1 - 0.63)^0

To find the probability that at least six students will graduate in four years, we can use the binomial probability formula.

The first and last terms of the expanded expression for this probability can be determined using the binomial coefficients.

The binomial probability formula is given by:

P(X \geq  k) = C(n, k) * p^k * (1 - p)^{(n - k)

Where:

P(X ≥ k) is the probability that X is greater than or equal to k,

n is the number of trials (students in this case),

k is the desired number of successes (six or more students graduating),

p is the probability of success in a single trial (probability of graduating in four years).

In this case, the number of trials (n) is 10, and the probability of success (p) is 0.63.

To find the first term, we substitute k = 6 into the formula:

P(X \geq  6) = C(10, 6) * (0.63)^6 * (1 - 0.63)^{(10 - 6)

C(10, 6) represents the binomial coefficient, which can be calculated as:

C(10, 6) = 10! / (6! * (10 - 6)!)

To find the last term, we substitute k = 10 into the formula:

P(X \geq  10) = C(10, 10) * (0.63)^(10) * (1 - 0.63)^{(10 - 10)

C(10, 10) = 10! / (10! * (10 - 10)!)

Hence, The first and last terms of the expanded expression for the probability that at least six students will graduate in four years are:

First term: C(10, 6) * (0.63)^6 * (1 - 0.63)^4

Last term: C(10, 10) * (0.63)^(10) * (1 - 0.63)^0

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Since this is dealing with binomial you do something like this

3 gallons of paint cover 900 square feet. How many gallons will cover
1950 square feet?

Answers

Answer:

six and a half litres

Step-by-step explanation:

if 3g = 900

what about 1950

you cross multiply

The difference between two integers is 43. If you double the smaller integer and triple the larger integer the sun is 189. Identify the two integers

Answers

Answer:

ok umm i did guess and check  i got the the two integers are 55 and 12

55-12=43

55*3=165

12*2=24

165+24=189

Step-by-step explanation

hope this helped

:)

Reese read twice as many pages Saturday than she read Sunday. If she read a total of 78 pages over the weekend, how many pages did Reese read Sunday?

Answers

Answer:

Reese read 26 pages on Sunday.

Step-by-step explanation:

If she read twice the amount on Saturday than she read on Sunday, then you can replace the days with variables. 2x for Saturday and x for Sunday. That leaves you with 2x + x = 78. This can be simplified to 3x = 78. We can solve this by dividing both sides by 3. This leaves you with x = 26. If x represents the pages read on Sunday then Reese read 26 pages on Sunday.

Is y=3x-3 proportional

Answers

Answer:

i don't think so

Step-by-step explanation:

5y+ 9< 24 what is the inequality?

Answers

Answer:

y<3

Step-by-step explanation:

Let's solve your inequality step-by-step.

5y+9<24

Step 1: Subtract 9 from both sides.

5y+9−9<24−9

5y<15

Step 2: Divide both sides by 5.

5y/5 < 15/5

y<3