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2 years ago

Write in slope-intercept form the equation of a line passing through the point and perpendicular to the given line.

Mathematics

2 answers:

dalvyx [7]2 years ago

8 0

Your answer would be A i just done this

laiz [17]2 years ago

5 0

Answer:

A is your answer.

Step-by-step explanation:

Perpendicular is opposite and reciprocol of the slope. Your slope is -2 so the opposite of that is positive 2, and the reciprocol is 1/2. When you graph that you should have a point at (8,2). y=1/2x -2

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A number +5 more than three times the number is 37 find the number

xz_007 [3.2K]

Answer: 10 $\frac{2}{3}$

A number: x

Equation: 3x+5=37

Subtract 37-5=32

Divide 32/3= 10 $\frac{2}{3}$

4 0

1 year ago

The population of a small town in Alabama is 382 people. If the growth rate is 0.7%, what will its population be in 30 years?

goldenfox [79]

Formula for growth:

y = initial • (percent growth + 1)^time/frequency of growth

So, since initial population is 382

Percent growth is 0.007

The time is 30 years

And it goes it by .07% every 1 year,

y = 382 • (1.007)^30/1

y= 470.9203732 people

Since we can’t have 0.9 of a person, the population after 30 years will be 470 people.

4 0

2 years ago

In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist

Tcecarenko [31]

Answer:

a. 0.7291

b. 0.9968

c. 0.7259

Step-by-step explanation:

a. np and n(1-p) can be calculated as:

$np=23\times 0.48\\\\=11.04\\\\n(1-p)=23(1-0.52)\\\\=11.96$

#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

$\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408$

#Define Y:

Y~(11.04,5.7408)

$P(X\leq 12)\approx P(Y\leq 12.5)\\\\P(Z\leq \frac{(12.5-11.04)}{\sqrt{5.7408}})=\\\\=1-0.2709\\\\=0.7291$

Hence, the probability of 12 or fewer is 0.8291

b. The probability that 5 or more fish were caught.

#Using normal approximation:

$P(X \geq 5) \approx P(Y \geq 4.5) = P(Z \geq\frac{ (4.5-11.04)}{\sqrt{(5.7408)}})\\\\=1-0.0032\\\\=0.9968$

Hence, the probability of catching 5+ is 0.9968

c. The probability of between 5 and 12 is calculated as;

-From b above $P(X\geq 5)=0.9968$ and a , $P(X\leq 12)$ =0.7291

$P(5\leq X\leq 120\approx P(4.5\leq Y\leq 12.5)\\\\=0.7291-(1-0.9968)\\\\=0.7259$

Hence, the probability of between 5 and 12 is 0.7259

4 0

2 years ago

Find the square of ( b - 9 )

Kruka [31]

Answer:

${b}^{2} - 18b + 81$

Step-by-step explanation:

${(b - 9)}^{2} = {b}^{2} - 2 \times b \times 9 + {(9)}^{2} \\ = {b}^{2} - 18b + 81$

6 0

2 years ago

Jaden deposited $9000 in a savings account with a simple interest .Two years later the account held up $10,440 what is the inter

Ber [7]

Answer:

Step-by-step explanation:

The simple interest formula is

I = Prt, where I is the interest earned, P is the initial investment, r is the interest rate in decimal form, and t is the time in years. We have that after 2 years, 9000 has turned into 10440. That means that the total interest earned was 10440 - 9000 = 1440

I = 1440

P = 9000

r = ?

t = 2

Filling in we have

1440 = 9000(r)(2) and

1440 = 18000r so

r = .08

As an interest rate, we multiply this by 100 to get 8%

4 0

2 years ago