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2 years ago

# [4-5{1-(4-3+1)}] of 100% equals a) 50% b)-1% c)zero d)100%

Mathematics

1 answer:

Nikitich [7]2 years ago

7 0

<u>Answer:</u>

To solve this, we need to first evaluate the given expression. We can do that by simplifying the contents of each bracket, starting with the innermost one:

[4-5{1-(4-3+1)}]

⇒ [4 - 5{1 - (2)}]

⇒ [4 - 5{-1}]

⇒ 4 - (-5)

⇒ 4 + 5

⇒ 9

Now we can calculate what 9 out of 100 is:

9 of 100 = $\frac{9}{100}$

⇒ 9%

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kenny6666 [7]

Answer:

1. $-m(-8n^2-7n+1)$

2. $(2w+7c) (v+7c)$

5. (q+3r)(q^2-3qr+9r^2)

7. x= - 4/7, 1/9

See below for additional problems and help.

Step-by-step explanation:

To factor polynomials, look for patterns and greatest common factors. When you remove these factors, write the factor and what remains.

For example:

$8mn^2+7mn-m\\-m(-8n^2-7n+1)$

Notice the term $(-8n^2-7n+1)$ is left and is the term when the expression is divided by -m.

2. Factor by grouping is similar. Pull out factors within pairs of term. Separate the terms by parenthesis. If the quantities in the [parenthesis are the same, the factoring has been successful.

$(2vw + 7cv) + (14cw + 49c^2)\\v(2w+7c)+7c(2w+7c)$

Notice that (2w+7c) is the same. The factoring is complete. The factors are:

$(2w+7c) (v+7c)$

3 - 6 is similar using specific forms for factoring. To find the forms, look in your notes or at resources on online. Here is one example.

4. A sum of cubes has the form

$a^3 + b^3 = (a + b)(a^2 -ab + b^2)$ .

To use this form, take the cube root of each term. a = q and b=3r.

The factors are $(q+3)(q^2-3qr+9r^2)$

7-9 all involve factoring and then solving. You solve by setting the factors equal to 0.

7. (7x+4)(9x-1) = 0

(7x+4) = 0 (9x-1)=0

7x=-4 9x = 1

x= - 4/7 x = 1/9

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3 years ago

Solve the following equations then place the correct number in the box provided.

alexira [117]

The answer is negative two I believe so if I’m right I’m not 100% sure on this one

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3 years ago

Describe triangle ABC in terms of its sides and angles

Nimfa-mama [501]

Answer:

Right angle triangle

Step-by-step explanation:

Given triangle is right angle triangle
It is a type of triangle that has one of it's angles equal to 90 degrees.
The other two angle sum up to 90 degrees.
Here AC side is perpendicular and the AB side is base of the triangle.
And the third side that is called CB which longest side of all three sides that is called hypotenuse.

6 0

3 years ago

Read 2 more answers

7.109) The leading brand of dishwasher detergent has a 30% market share. A sample of 25 dishwasher detergent customers was taken

Rina8888 [55]

Answer:

0.9021 = 90.21% probability that 10 or fewer customers choose the leading brand

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they choose the leading brand, or they do not. The probability of a customer choosing the leading brand is independent of any other customer, which means that the binomial probability distribution is used to solve this question.

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 combinations 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.

The leading brand of dishwasher detergent has a 30% market share.

This means that $p = 0.3$

A sample of 25 dishwasher detergent customers was taken.

This means that $n = 25$

a. What is the probability that 10 or fewer customers choose the leading brand?

This is:

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10)$

In which

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

$P(X = 0) = C_{25,0}.(0.3)^{0}.(0.7)^{25} = 0.0001$

$P(X = 1) = C_{25,1}.(0.3)^{1}.(0.7)^{24} = 0.0014$

$P(X = 2) = C_{25,2}.(0.3)^{2}.(0.7)^{23} = 0.0074$

$P(X = 3) = C_{25,3}.(0.3)^{3}.(0.7)^{22} = 0.0243$

$P(X = 4) = C_{25,4}.(0.3)^{4}.(0.7)^{21} = 0.0572$

$P(X = 5) = C_{25,5}.(0.3)^{5}.(0.7)^{20} = 0.1030$

$P(X = 6) = C_{25,6}.(0.3)^{6}.(0.7)^{19} = 0.1472$

$P(X = 7) = C_{25,7}.(0.3)^{7}.(0.7)^{18} = 0.1712$

$P(X = 8) = C_{25,8}.(0.3)^{8}.(0.7)^{17} = 0.1651$

$P(X = 9) = C_{25,9}.(0.3)^{9}.(0.7)^{16} = 0.1336$

$P(X = 10) = C_{25,10}.(0.3)^{10}.(0.7)^{15} = 0.0916$

Then

$P(X \leq 10) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9) + P(X = 10) = 0.0001 + 0.0014 + 0.0074 + 0.0243 + 0.0572 + 0.1030 + 0.1472 + 0.1712 + 0.1651 + 0.1336 + 0.0916 = 0.9021$

0.9021 = 90.21% probability that 10 or fewer customers choose the leading brand

3 0

3 years ago

How can the zero product be applied to real life

ddd [48]

Answer:

The zero product property states that if a⋅b=0 then either a or b equal zero. This basic property helps us solve equations like (x+2)(x-5)=0.

The Zero Product Property simply states that if ab=0 , then either a=0 or b=0 (or both). A product of factors is zero if and only if one or more of the factors is zero.

Step-by-step explanation:

hope it helps

7 0

2 years ago