LAM 1 Mod 6 Question 4b-s2.

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tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

35% means 35 per hundred. 35/100. simplify and write as 7/20.

0.64 means its 2 zeros left of regular number. 64/100.

82% means 82 per hundred. 82/100. move decimal 2 spaces to left (division is left, multiplication is right). 0.82.

4/5. try to make denominator 100. multiply both numerator and denominator by 20. 80/100. move decimal 2 spaces to the left. 0.8.

14/50. try to make denominator 100. multiply both numerator and denominator by 2. 28/100. 28%

0.19 can be written as 19/100. 19%

7 0

3 years ago

Read 2 more answers

If your input is 15 for the rule, "divide by 5 then multiply by 2", what would be your output?

Dimas [21]

Answer:

The answer is 6.

Step-by-step explanation:

15 divided by 5 is 3 times 2 is 6.

4 0

3 years ago

Read 2 more answers

Maura receives a 3% commission on every piece of furniture she sells. one day she sold a couch for $950. How much was her commis

Ad libitum [116K]

3%=3/100=0.03

950 multiplied by 0.03=28.5

$28.5

8 0

4 years ago

A basketball player has made 70% of his foul shots during the season. If he shoots 3 foul shots in tonight's game, what is the

yulyashka [42]

Answer:

There is a 34.3% probability that he makes all of the shots.

Step-by-step explanation:

For each foul shot that he takes during the game, there are only two possible outcomes. Either he makes it, or he misses. This means that we use the binomial probability distribution to solve this problem.

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:

$n = 3, p = 0.7$

What is the probability that he makes all of the shots?

This is P(X = 3).

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

$P(X = 3) = C_{3,3}.(0.7)^{3}.(0.3)^{0} = 0.343$

There is a 34.3% probability that he makes all of the shots.

7 0

3 years ago

Please help :) I have no clue & math isn’t my strong subject.

melisa1 [442]

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

Solution:

Given line $y=\frac{4}{7} x+4$ .

Slope of this line, $m_1$ = $\frac{4}{7}$

$$\text{Slope of perpendicular line} = \frac{-1}{\text{Slope of the given line} }$

$$m_2=\frac{-1}{m_1}$

$$=\frac{-1}{\frac{4}{7} }$

Slope of perpendicular line, $m_2=\frac{-7}{4}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$y-y_1=m(x-x_1)$

$$y-(-7)=\frac{-7}{4} (x-5)$

$$y+7=\frac{-7}{4} x+\frac{35}{4}$

Subtract 7 from both sides, we get

$$y=\frac{-7}{4} x+\frac{7}{4}$

Equation of a line that is perpendicular to given line is $y=\frac{-7}{4} x+\frac{7}{4}$ .

To find the parallel line:

Slopes of parallel lines are equal.

$m_1=m_3$

$$m_3=\frac{4}{7}$

Passes through the point (–7, 5). Here $x_1=-7, y_1=5$ .

Point-slope formula:

$$y-(-7)=\frac{4}{7} (x-5)$

$$y+7=\frac{4}{7} x-\frac{20}{7}$

Subtract 7 from both sides,

$$y=\frac{4}{7} x-\frac{69}{7}$

Equation of a line that is parallel to given line is $y=\frac{4}{7} x-\frac{69}{7}$ .

7 0

3 years ago