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3 years ago

11. PLS help!!! the question is attached in the image below

Mathematics

1 answer:

Colt1911 [192]3 years ago

4 0

Answer:

y = 3/2x-5/2

Step-by-step explanation:

We have two points so we can write the equation for the line. (-1,-4) and (3,2)

First we can find the slope by using

m= (y2-y1)/(x2-x1)

m = (2- -4)/(3 - -1)

=(2+4)/(3+1)

= 6/4

= 3/2

Then put the slope into the slope intercept form of the equation

y= mx+b where m is the slope and b is the y intercept

y = 3/2x+b

We will use the point (3,2) and substitute it into the equation to find b

2 = 3/2(3)+b

2 = 9/2 +b

Subtract 9/2 from each side

4/2 -9/2 = 9/2-9/2 +b

-5/2 = b

y = 3/2x-5/2

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Please help me as soon as posable!! In hurry!!(24 points)

attashe74 [19]

The sequence is geometric, so

$a_n = r a_{n-1}$

for some constant r. From this rule, it follows that

$a_3 = r a_2 \implies 20 = 2r \implies r = 10$

and we can determine the first term to be

$a_2 = r a_1 \implies 2 = 10 a_1 \implies a_1 = \dfrac15$

Now, by substitution we have

$a_n = r a_{n-1} = r^2 a_{n-2} = r^3 a_{n-3} = \cdots$

and so on down to (D)

$a_n = r^{n-1} a_1 = 10^{n-1} \cdot \dfrac15$

(notice how the exponent on r and the subscript on a add up to n)

4 0

2 years ago

In a study, 36% of adults questioned reported that their health was excellent. A researcher wishes to study the health of peop

steposvetlana [31]

Answer:

0.3907

Step-by-step explanation:

We are given that 36% of adults questioned reported that their health was excellent.

Probability of good health = 0.36

Among 11 adults randomly selected from this area, only 3 reported that their health was excellent.

Now we are supposed to find the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health.

i.e. $P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)$

Formula : $P(x=r)=^nC_r p^r q ^ {n-r}$

p is the probability of success i.e. p = 0.36

q = probability of failure = 1- 0.36 = 0.64

n = 11

So, $P(x\leq 3)=P(x=1)+{P(x=2)+P(x=3)$

$P(x\leq 3)=^{11}C_1 (0.36)^1 (0.64)^{11-1}+^{11}C_2 (0.36)^2 (0.64)^{11-2}+^{11}C_3 (0.36)^3 (0.64)^{11-3}$

$P(x\leq 3)=\frac{11!}{1!(11-1)!} (0.36)^1 (0.64)^{11-1}+\frac{11!}{2!(11-2)!} (0.36)^2 (0.64)^{11-2}+\frac{11!}{3!(11-3)!} (0.36)^3 (0.64)^{11-3}$

$P(x\leq 3)=0.390748$

Hence the probability that when 11 adults are randomly selected, 3 or fewer are in excellent health is 0.3907

5 0

3 years ago

Casey went to the fabric store and bought 2 2/3 yards of yellow fabric, yards of purple fabric, 3 1/9 and a pair of 5 1/5 inch s

nasty-shy [4]

The answer is A: 5 7/9 yards

4 0

3 years ago

Random question what is 50+40-1*5plus 2

Scilla [17]

Answer:

87 i think

Step-by-step explanation:

I used a calculator

5 0

3 years ago

Read 2 more answers

Find all real numbers on the interval [0.2 t) that satisfy the equation. Use radian measure.

sergejj [24]

Answer:

x ∈ {2π/3, π, 4π/3} ≈ {2.09440, 3.14159, 4.18879}

Step-by-step explanation:

The equation can be put into standard form by adding 1:

2cos²(x) +3cos(x) +1 = 0

(2cos(x) +1)(cos(x) +1) = 0

Values of cos(x) that make this true* are ...

cos(x) = -1/2 . . . . . . . . . true for x=2π/3, x=4π/3

cos(x) = -1 . . . . . . . . . . . true for x=π

A graphing calculator can be helpful here, too.

_____

* from your knowledge of the short table of trig functions and their signs in different quadrants

3 0

3 years ago