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3 years ago

Daniel is packing his bags for his vacation. He has

Mathematics

1 answer:

bulgar [2K]3 years ago

6 0

Answer: 5

Step-by-step explanation:

brainliest please

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Venn diagram ( attached image )

alexandr402 [8]

Assessing the given Venn diagram and the data related to it, we can answer the required question:

Q1. How many people were surveyed = 86.

Q2. What is the probability that a customer chosen at random:

a) takes salt P(S) = 46/85.

b) takes both salt and vinegar P(S ∩ V) = 13/85.

c) takes salt or vinegar or both P(S ∪ V) = 66/85.

The number of people who take salt chips n(S) = 46.

The number of people who take vinegar chips n(V) = 33.

The number of people who takes both n(S ∩ V) = 13.

The number of people who take neither n((S ∪ V)') = 19.

Therefore, the total number of people surveyed n(U) = n(S) + n(V) - n(S ∩ V) + n((S ∪ V)') = 46 + 33 - 13 + 19 = 85.

The number of people who takes salt or vinegar or both n(S ∪ V) = n(U) - n((S ∪ V)') = 85 - 19 = 66.

The probability that a customer chosen at random takes salt P(S) = n(S)/n(U) = 46/85.

The probability that a customer chosen at random takes both salt and vinegar P(S ∩ V) = n(S ∩ V)/n(U) = 13/85.

The probability that a customer chosen at random takes salt or vinegar or both P(S ∪ V) = n(S ∪ V)/n(U) = 66/85.

Learn more about Venn Diagrams at

brainly.com/question/24713052

#SPJ10

7 0

2 years ago

What is the exact value of x in the exponential equation 2^5x − 57 = 43?

katovenus [111]

Start by getting the term with the exponent on one side
$2^{5x}=100$

take the log of both sides
$log 2^{5x} =log100$

There is a log rule that says we can bring down the exponent
$5xlog2=log100$

Solve for x
$5x= \frac{log100}{log2}$
5x=6.64

answer: x=1.33

4 0

3 years ago

Please Help Quickly :)

Margarita [4]

Answer:

Step-by-step explanation:

2x * 2x = 4x^2 and -11 * 11 = -121

5 0

3 years ago

Read 2 more answers

O GRAPHS AND FUNCTIONSGraphing a function of the form f(x) = ax + b: Integer slopeGraph the function h(x) = -5x +3.

Alborosie

Graphs of linear functions

Since we are graphing a line, if we have two points we can plot the whole line

We evaluate the line in two points in order to locate two places where it passes through. We say y = h(x)

1. If x = 0 then

h(x) = - 5(0) +3

= 0 + 3

= 3

Then y = 3

2. If x = 2 then

h(x) = - 5(2) +3

= -10 + 3

= -7

Then y = -7

Now, we have two points: (0, 3) and (2, -7)

We locate them and then we plot the only straight line that passes through both points

3 0

1 year ago

Use the formula P = 2 l + 2 w to find the length l of a rectangular lot if the width w is 40 feet and the perimeter P is 200 fee

jeyben [28]

Answer:

l = 60 feet

Step-by-step explanation:

use the equation and plug in the width(40 feet) for w and perimeter(200 feet) for p.

200 = 2l + 2(40)

then solve for l

200 = 2l + 80

120 = 2l

l = 60 feet

5 0

3 years ago