350 divided by 10000

compare the figure to a 4m by 8m rectangle? is the area of the figure greater orlessthdn the area of a rectangle

vlada-n [284]

Well we need to see the figure mate. In order to compare it

3 0

3 years ago

The length of a rectangle is 6 meters more than its width. The area of the rectangle is 114 square meters. Which of the followin

Leno4ka [110]

Answer:

last one

Step-by-step explanation:

x = width

x+6 = length

Area = length times width

x(x + 6) = $x^{2}$ + 6x

$x^{2}$ + 6x = 114 (subtract 114 from both sides)

$x^{2}$ + 6x -114 = 0

8 0

2 years ago

he marketing research department at the Fresno Mall plans to survey teenagers about a newly developed soft drink. Each person sa

Nat2105 [25]

50% of those who liked orange flavored soda also like lime flavored soda according to the conditional probability.

According to the statement

we have given that the in the survey 70% of the people surveyed said they like the orange flavored soda and 35% of the people surveyed said they liked the orange flavored soda AND the lime flavored soda.

And we have to find the conditional probability about this given statement.

So, We know that the

Let A and B represents the following events.

A : The people like the orange flavored soda.

B : The people like the lime flavored soda.

It is given that 70% of the people surveyed said they like the orange flavored soda.

so, P(A) = 0.70

And 35% of the people surveyed said they liked the orange flavored soda AND the lime flavored soda.

So, P(A ∩ B ) = 0.35

A. Conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.

And

B. The formula for conditional probability is is written below:

P(A/B) = P(A ∩ B ) / P (B)

And

C. We need to find the percent of those who liked orange flavored soda also like lime flavored soda.

Use the above written conditional probability formula then

Substitute P(A)=0.70 and P(A∩B)=0.35 in the above formula.

So,

P(B/A) = P(A ∩ B ) / P (A)

P(B/A) = 0.35 / 0.70

P(B/A) = 0.50

So, 50% of those who liked orange flavored soda also like lime flavored soda according to the conditional probability.

Learn more about conditional probability here

brainly.com/question/23382435

Disclaimer: This question was incomplete. Please find the full content below.

Question:

The marketing research department at the Fresno Mall plans to survey teenagers about a newly developed soft drink. 70% of the people surveyed said they like the orange flavored soda. 35% of the people surveyed said they liked the orange flavored soda AND the lime flavored soda. Using this information and the Text Editor, answer the following questions:

1.What is conditional probability?

2.Explain the formula for conditional probability.

3.Explain how to solve this example.

What percent of those who liked orange flavored soda also like lime flavored soda, and how did you come to that conclusion?

#SPJ4

5 0

1 year ago

A company is manufacturing an open-top rectangular box. They have 30 cm by 16 cm sheets of material. The bins are made by cuttin

Natalija [7]

Answer:

a. (30 - 2x)(16 - 2x)x. b. length 21.2 cm , width = 7.2 cm and height x = 4.4 cm

Step-by-step explanation:

a. Let x be the side of the squares to be cut from each corner. Since we have two corners on each side, the length of the resulting box from the 30 cm by 16 cm sheet is L = 30 - 2x. Its breadth is B = 16 - 2x. The height of the resulting box is x. So its volume V = LBx = (30 - 2x)(16 - 2x)x.

b. To find the maximum value of V, we differentiate V with respect to x and equate it to zero.

So, dV/dx = 0

d(30 - 2x)(16 - 2x)x/dx = 0

-2(16 - 2x)x + (-2)(30 - 2x)x + (30 - 2x)(16 - 2x) = 0

32x + 4x² - 60x - 4x² + 480 - 60x - 32x + 4x² = 0

4x²- 120x + 450 = 0

x²- 30x + 112.5 = 0

Using the quadratic formula, we find x. So, with a = 1, b = - 15 and c = 112.5,

$x = \frac{-(-30)+/-\sqrt{(-30)^{2} - 4 X 1 X 112.5} }{2 X 1} \\= \frac{30+/-\sqrt{900 - 450} }{2}\\ = \frac{30+/-\sqrt{450} }{2}\\ = \frac{30+/-21.21 }{2}\\\\ = \frac{30+21.21 }{2} or \frac{30-21.21 }{2}\\ = \frac{51.21 }{2} or \frac{8.79}{2}\\ = 25.605 or 4.395$