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1 year ago

What is the slope of a line that contains the ordered pairs (2,6) and (3,9)?

Mathematics

1 answer:

liubo4ka [24]1 year ago

4 0

Answer:

Step-by-step explanation:

→ Calculate the change in y coordinates

9 - 6 = 3

→ Calculate the change in x coordinates

3 - 2 = 1

→ Divide the answers

3 ÷ 1 = 3

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A principal of $4700 is invested at 8.25% interest compounded annually. How much will the investment be worth after 7 years?

Mariana [72]

Answer:

$7562.50

Step-by-step explanation:

4700 (1.0825)^7-1

8 0

2 years ago

there are 50 people in a class out of this number 1/10 speak French only and 4/5 of the remainder speak both French and English

Flura [38]

Answer:

36 students speak both english and french

14 students speak only english

7 0

2 years ago

Read 2 more answers

A computer chess game and a human chess champion are evenly matched. They play twelve games. Find probabilities for the followin

sleet_krkn [62]

Answer:

The probability that they each win six games is 0.225.

Step-by-step explanation:

Given : A computer chess game and a human chess champion are evenly matched. They play twelve games.

To find : The probability that they each win six games?

Solution :

Applying binomial distribution,

Here n=12 and p=0.5

$P(X=k)=\frac{n!}{k!(n-k)!}\times p^k\times (1-p)^{n-k}$

The probability that they each win six games is k=6.

$P(X=6)=\frac{12!}{6!(12-6)!}\times 0.5^6\times (1-0.5)^{12-6}$

$P(X=6)=\frac{12\times 11\times 10\times 9\times 8\times 7\times 6!}{6\times 5\times 4\times 3\times 2\times 6!}\times 0.015625\times 0.015625$

$P(X=6)=11\times 2\times 3\times 2\times 7\times 0.015625\times 0.015625$

$P(X=6)=0.225$

Therefore, The probability that they each win six games is 0.225.

3 0

2 years ago

In circle O, what is m∠MAJ? °

mr_godi [17]

See the attached figure.

m ∠KAJ = 170° & m ∠LAM = 80°

We should know that :

m ∠KAJ + m ∠LAM + m ∠KAL + m ∠MAJ = 360°

∴ m ∠KAL + m ∠MAJ = 360° - (m ∠KAJ + m ∠LAM)

∴ m ∠KAL + m ∠MAJ = 360° - (170°+80°) = 360° - 250° = 110°

But : m ∠KAL = m ∠MAJ ⇒⇒⇒ Opposite angles.

∴ m ∠MAJ + m ∠MAJ = 110°

∴ 2 * m ∠MAJ = 110°

∴ m ∠MAJ = 110° ÷ 2 = 55°

So, the answer is : m ∠MAJ = 55°

4 0

2 years ago

Catelyn has 2 summer jobs. Each week, she works at least 15 hours at a pet store and at least 6 hours as a nanny. She earns $10/

shusha [124]

The answers are as follows:
x ≥ 15
y ≥ 6
x + y ≤ 30
10x + 8y ≥ 250

Thank you for posting your question. I hope you found what you were after. Please feel free to ask me more.

6 0

2 years ago