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svetlana [45]
3 years ago
14

Y = -2/3x + 2y = 3/2x + 9These lines are...​

Mathematics
2 answers:
Klio2033 [76]3 years ago
6 0
These lines are perpendicular
This is because the gradients of perpendicular lines must multiply together to make -1
So, when you multiply 3/2 and -2/3 your answer is negative one
So these lines are perpendicular
stellarik [79]3 years ago
4 0

Answer:

Perpendicular

Step-by-step explanation:

Perpendicular lines have negative reciprocal slopes

-2/3 negated is

2/3

The reciprocal (flip the numerator and denominator) of 2/3 is

3/2

So, the lines are perpendicular

Hope this helps! :)

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A telemarketer is successful at getting people to donate money for her organization in 55% of all calls she makes. She must get
Tems11 [23]
An interesting twist to a binomial distribution problem.

Given:
p=55%=0.55 for probability of success in solicitation
x=4=number of successful solicitations
n=number of calls to be made
P(x,n,p)>=89.9%=0.899  (from context, it is >= and not =, which is almost impossible)

From context of question, all calls are assumed independent, with constant probability of success, so binomial distribution is applicable.

The number of successes, x, is then given by
P(x)=C(n,x)p^x(1-p)^{n-x}where
p=probability of success
n=number of trials
x=number of successesC(n,x)=\frac{n!}{x!(n-x)!}

Here we need n such that
P(x,n,p)>=0.899
given
x>=4, p=0.55, which means we need to find

Method 1: if a cumulative binomial distribution table is available, we can look up n=9,10,11 and find
P(x>=4,9,0.55)=0.834
P(x>=4,10,0.55)=0.898
P(x>=4,11,0.55)=0.939
So she must make (at least) 11 calls to make sure the probability of meeting her quota is 89.9% or more.

Method 2: using technology.
Similar to method 1, we can look up the probabilities directly, for n=9,10,11
P(x>=4,9,0.55)=0.834178
P(x>=4,10,0.55)=0.8980051
P(x>=4,11,0.55)=0.9390368

Method 3: using simple calculator
Here we need to calculate the probabilities for each value of n=10,11 and sum the probabilities of FAILURE S=P(0,n,0.55)+P(1,n,0.55)+P(2,n,0.55)+P(3,n,0.55)
so that the probability of success is 1-S.
For n=10,
P(0,10,0.55)=0.000341
P(1,10,0.55)=0.004162
P(2,10,0.55)=0.022890
P(3,10,0.55)=0.074603
So that
S=0.000341+0.004162+0.022890+0.074603
=0.101995
and Probability of getting 4 successes (or more) 
=1-S
=0.898005, missing target by 0.1%

So she will have to make 11 phone calls, bring up the probability to 93.9%.  The work is similar to that of n=10.
8 0
3 years ago
Please help :) i really need your help right now thank you
Nastasia [14]

The first one and the last one, the 2 middle ones are not corresponding

5 0
3 years ago
I would love if someone could help me Thanks in advance
Montano1993 [528]
Answer: Choice A, -1540 feet

----------------------------------

Explanation:

Multiply the rate (44 ft per sec) by the number of seconds (35) to get 44*35 = 1540

The answer will be negative to indicate that the altitude has gone down. If you put in a positive change, then the altitude would go up. So that's why the answer is choice A

Note: when you multiply 44 ft/sec by 35 sec, the "second" units cancel out leaving just feet.

Another note: if you want, think of the 44 as -44 to indicate that the plane is decreasing at a rate of 44 ft/sec

7 0
3 years ago
Evaluate 13-0.75w+8x when W=12and x =1/2.
My name is Ann [436]
Hope this will work.

4 0
2 years ago
A 3-gallon tub of ice cream yields about 90 scoops of ice cream. There are roughly 3785 cubic centimeters in 1 gallon. Determine
ASHA 777 [7]

Answer:

The radius of the scoop is r = 3.1 cm

Step-by-step explanation:

Since 3 gallons yields 90 scoops, and 1 gallon = 3785 cm³.

3 gallons = 3 × 3785 cm³ =  11355 cm³

So we have 11355 cm³ in 3 gallons which is also the volume of 90 scoops.

Since 90 scoops = 11355 cm³, then

1 scoop = 11355 cm³/90 = 126.2 cm³

Now, if each scoop is a sphere, the volume is given by V = 4πr³/3 where r is the radius of the scoop. Since we need to find the radius of the scoop, r, making r subject of the formula, we have

r = ∛(3V/4π)

Substituting V = 126.2 cm³, we have

r = ∛(3× 126.2 cm³/4π)

= ∛(378.6 cm³/12.57)

= ∛30.13 cm³

= 3.1 cm

So, the radius of the scoop is r = 3.1 cm

5 0
3 years ago
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