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Gekata [30.6K]
3 years ago
5

Use binomial thereom to find the 8th term of (x-2)^14

Mathematics
1 answer:
Sergio039 [100]3 years ago
7 0
I think it’s 14x-28
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A playground at a mall is in the shape of a rectangle, and there is a 144 foot long fence around it. If the
vovikov84 [41]

Width of the playground is 33 foot.

<u>Explanation:</u>

A fence around the playground represents the perimeter.

If the playground is rectangular in shape, then the perimeter of the rectangle is known.

Perimeter of the rectangle = 144 foot

Let, width = b foot

Given:

length (l) = b+6 foot

We know,

Perimeter of the rectangle = 2 (l + b)

Putting the values of l and b in above equation we get,

144=2(b+6+b)\\72=2b+6\\66=2b\\b=33 foot

length (l) = 33 + 6 foot

l = 39 foot

Hence, width of the playground is 33 foot.

4 0
3 years ago
If a triangular prism has a height of 9 a width of 9 and length of 6 what is the volume in cm3
zaharov [31]
Volume = base area x height

Volume = 1/2 x 9 x 9 x 6 = 243 cm³

Answer: 243 cm³
3 0
3 years ago
Q13. Mavi Jeans has two retail outlets: Dallas and Phoenix. The Dallas store does 65 percent of the total sales in a year. Furth
Margaret [11]

Answer:

0.7558 = 75.58% probability this sale has occurred in Dallas

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Belt sold

Event B: Sold in Dallas.

Probability of belt being sold:

50% of 65%(made in Dallas)

30% of 100 - 65 = 35%(made in Phoenix). So

P(A) = 0.5*0.65 + 0.3*0.35 = 0.43

Sold in Dallas:

50% of 65%. So

P(A \cap B) = 0.5*0.65 = 0.325

What is the probability this sale has occurred in Dallas?

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.325}{0.43} = 0.7558

0.7558 = 75.58% probability this sale has occurred in Dallas

6 0
3 years ago
Pls help. I WILL KISS U!4!2!3! (REAL!!) pls n ty.
ella [17]

Answer:

AB=36

Step-by-step explanation:

BC=AC

AB=√(AC²+BC²)=√[(18√2)²+(18√2)²]=√(2×18²×2)=2×18=36

3 0
2 years ago
Evaluate 4x2 +3 when x=5
Molodets [167]

Answer:

103

Step-by-step explanation:

We substitute x with 5:

4(5)^2+3

Solve the exponent first:

5^2 = 25

<em>Note: We are using order of operations (consecutively)</em>

  1. <em>Parentheses </em>
  2. <em>Exponents</em>
  3. <em>Multiplication</em>
  4. <em>Division</em>
  5. <em>Addition </em>
  6. <em>Subtraction</em>

Multiply:

25 * 4 = 100

Add:

100 + 3 = 103

Our answer is 103

<em />

7 0
3 years ago
Read 2 more answers
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