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2 years ago

Pls pls pls pls help

Mathematics

1 answer:

nasty-shy [4]2 years ago

6 0

Answer:

$(f+g)(3)=20$

Step-by-step explanation:

$(f+g)(3)=f(3)+g(3)\\\\=(x^{2} +3x-7)+(5x-3)\\=((3)^2+3(2)-7)+(5(3)-3)\\=(9+6-7)+(15-3)\\=8+12\\=20$

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In a survey, 672 adults were asked what television programs they had recently watched. The following information was obtained: 2

OlgaM077 [116]

Answer:

a. the Big Game = 263

b. the Big Game but not the New Movie = 159

c. at least one program = 446

d. both programs = 104.

Step-by-step explanation:

Given that:

Total adults asked about TV programs, n(U) = 672

Total adults who watch New Movie, n(A) = 287

Let n(B) be the number of adults who watch Big Game.

Total adults who watch New Movie but not Big Game, n(A-B) = 183

As per formula:

n(A-B) = n(A) - n(A $\cap$ B)

Where n(A $\cap$ B) is the number of adults who watch New Movie and Big Game both.

n(A $\cap$ B) = n(A) - n(A-B)

n(A $\cap$ B) = 287 - 183 = 104

Formula:

n(U) = n(A $\cup$ B) + n(A $\cup$ B)'

n(A $\cup$ B) is the number of adults who watch at least one program.

n(A $\cup$ B)' is the number of adults who do not watch any program.

Given that n(A $\cup$ B)' = 226

Putting values in the above formula:

672 = n(A $\cup$ B) + 226

n(A $\cup$ B) = 672 - 226 = 446

Formula:

n(A $\cup$ B) = n(A) + n(B) - n(A $\cap$ B)

446 = 287 + n(B) - 104

n(B) = 446 + 104 - 287

n(B) = 263

The number of adults who watch the Big Game but not the New Movie, n(B - A)

Formula:

n(B - A) = n(B) - n(A $\cap$ B)

n(B - A) = 263 - 104 = 159

So, the number of surveyed adults who watch:

a. the Big Game, n(A) = 263

b. the Big Game but not the New Movie, n(B - A) = 159

c. at least one program, n(A $\cup$ B) = 446

d. both programs, n(A $\cap$ B) = 104.

6 0

3 years ago

In Jude Company, land decreased $150,000 because of a cash sale for $150,000, the equipment account increased $60,000 as a resul

Fofino [41]

Answer:

The net cash provided by investing activities is $90,000

Step-by-step explanation:

In this question, we are asked to calculate the net cash that is provided by investing activities.

To calculate the net cash provided by investing activities, we simply subtract the cash used to purchase equipment from cash from sale of land.

Mathematically, net cash provided by investing activities = cash from sale of land - cash used to purchase equipment.

From the question, we can identify that cash from sale of land is $150,000 while cash used to purchase equipment is $90,000

We substitute these and get; $150,000 -$60,000 = $90,000

5 0

2 years ago

Suppose you purchase a bundle of 18 bare-root broccoli plants. The sales clerk tells you that on average you can expect 8% of th

neonofarm [45]

Answer:

There is a 57.18% probability that you will lose at most 1 of the broccoli plants.

Step-by-step explanation:

For each plant, there are only two possible outcomes. Either they die, or they do not. This means that we can solve this problem using the binomial probability distribution.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem, we have that

There are 18 plants, so $n = 18$ .

8% of the plants die before producing any broccoli. So $p = 0.08$ .

Use the binomial formula to find the probability that you will lose at most 1 of the broccoli plants.

This is

$P = P(X = 0) + P(X = 1)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{18,0}.(0.08)^{0}.(0.92)^{18} = 0.2229$

$P(X = 1) = C_{18,1}.(0.08)^{1}.(0.92)^{17} = 0.3489$

$P = P(X = 0) + P(X = 1) = 0.2229 + 0.3489 = 0.5718$

There is a 57.18% probability that you will lose at most 1 of the broccoli plants.

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3 years ago

5. lan is 5 years older than Craig. If the sum of their ages is 45, find both

Fofino [41]

Answer: Ian is 25 and craig is 20

Step-by-step explanation:

(45 - 5) /2 +5 to one of them

3 0

3 years ago

Read 2 more answers

What is 51.5% of 845 million

Masja [62]

The answer is 435,175,000.

4 0

3 years ago