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3 years ago

Find an equation of the line perpendicular to the graph of 28x-7y=9 that passes through the point at (4,1)

1 answer:

3 0

If it is perpendicular to the line 14x-7y=4, then we know our line has the opposite and inverse slope of that line. Solving for y of the first line, we get y=2x-(4/7). All we care about is the coefficient of the x term, because that will give us our slope. The slope of the first line is 2, so the slope of out line is the opposite and inverse of that slope, which -(1/2).

Plugging into our slope- point formula, where y1=(-9), x1=2, and m=(-1/2), then:

y-(-9)=(-1/2)(x-2)

y+9=(-1/2)x+1

y=(-1/2)x-8

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#10-1 : What is the probability of randomly choosing a diamond card from a regular deck of 52 cards? What is the probability of

Alchen [17]

$\huge{\boxed{\frac{1}{4}}}\ \ \huge{\boxed{\frac{1}{4}}}$

There are $13$ of each suit in a deck of $52$ cards.

This means the probability of drawing a diamond card is $\frac{13}{52}$ . You can divide the numerator and denominator each by $13$ to simplify. $\frac{13}{52} \div \frac{13}{13} = \boxed{\frac{1}{4}}$

Since there are the same number of clubs as there are diamonds, the probabilities are the same.

3 0

3 years ago

If I get 100 dollars a week for four months how much will I have

Gre4nikov [31]

Answer:

1600 dollars

Step-by-step explanation:

Find out how much you earn a month

1 month = 4 weeks

1 month = 100 x 4 = 400 dollars

Now find out 4 months

4 months = 400 x 4 = 1600 dollars

4 0

3 years ago

Read 2 more answers

Suppose that f(x) is the (continuous) probability density function for heights of American men, in inches, and suppose that f(69

anastassius [24]

Answer:

(a) 7.6%

(b) 46.2% 42.4%

Step-by-step explanation:

(a)According to the definition of Continuous probability distribution

$f(x) = \frac{d}{dx}F(x)$

$f(x) = \frac{F(x + h) - F(x - h)}{(x + h) - (x - h)}$

$f(69) = \frac{F(69 + 0.2) - F(69 - 0.2)}{0.4}$

⇒ 0.19 × 0.4 = F(69.2) - F(68.8)

⇒ F(69.2) - F(68.8) = 0.076

⇒ 7.6%

(b) Given F(69) = 0.5

$f(x) = \frac{d}{dx}F(x)$

$f(x) = \frac{F(x) - F(x - h)}{x - (x - h)}$

$f(69) = \frac{F(69) - F(69 - 0.2)}{0.2}$

⇒ 0.19 × 0.2 = F(69) - F(68.8)

⇒ F(68.8) = 0.5 - 0.038 = 0.462

⇒ 46.2%

$f(x) = \frac{d}{dx}F(x)$

$f(x) = \frac{F(x) - F(x - h)}{x - (x - h)}$

$f(69) = \frac{F(69) - F(69 - 0.4)}{0.4}$

⇒ 0.19 × 0.4 = F(69) - F(68.8)

⇒ F(68.8) = 0.5 - 0.076 = 0.424

⇒ 42.4%

5 0

3 years ago

Write the equation of the line with a slope of 3/7 passing through the point (9,-2) in standard or slope-point form? ...?

Musya8 [376]

$y-y_1=m(x-x_1)
\\
\\ m= \frac{3}{7} 
\\
\\(9,-2) \Rightarrow x_1=9,y_1=-2
\\
\\ y-(-2)=\frac{3}{7} (x-9)
\\
\\y+2=\frac{3}{7}x-\frac{27}{7}
\\
\\y=\frac{3}{7}x-\frac{27}{7}-2
\\
\\y=\frac{3}{7}x-\frac{41}{7}$

7 0

3 years ago

I need help with question 1, 2, 6, 7 and 8.

olga2289 [7]

Answer:

Step-by-step explanation:

Q1) 15+15+15+15+15+15=90

Answer : 1 over 90 as a fraction

Q2) 2 over 2

Q6) 13 over 52

6 0

3 years ago