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solniwko [45]
3 years ago
14

If x=4cos(2t) and y=4sin(2t), what is the parameter of these equations

Mathematics
1 answer:
kobusy [5.1K]3 years ago
7 0

Answer:

y=√(4+x)(4−x)

Step-by-step explanation:

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Let U=5i-9j and V=-8i+8j. find U-V
liraira [26]
U-V\\
5i-9j-(-8i+8j)=0
\\5i-9j+8i-8j=0
\\13i-17j=0 
is your final answer.
5 0
4 years ago
Q6. (15 points) IQ examination scores of 500 members of a club are normally distributed with mean of 165 and SD of 15.
melamori03 [73]

Answer:

a) 0.8413

b) 421

c) P_{95} = 189.675

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 165

Standard Deviation, σ = 15

We are given that the distribution of  IQ examination scores is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

a) P(IQ scores at most 180)

P(x < 180)

P( x < 180) = P( z < \displaystyle\frac{180 - 165}{15}) = P(z < 1)

Calculation the value from standard normal z table, we have,  

P(x < 180) = 0.8413 = 84.13\%

b) Number of the members of the club have IQ scores at most 180

n = 500

\text{Members} = n\times \text{P(IQ scores at most 180)}\\= 500\times 0.8413\\=420.65 \approc 421

c) P(X< x) = 0.95

We have to find the value of x such that the probability is 0.95

P( X < x) = P( z < \displaystyle\frac{x - 165}{15})=0.95  

Calculation the value from standard normal z table, we have,  

P(z < 1.645) = 0.95

\displaystyle\frac{x - 165}{15} = 1.645\\\\x = 189.675  

P_{95} = 189.675

8 0
3 years ago
Bethany has 43 apples.write a subtraction story about the apples that would require regrouping.
RoseWind [281]
Hey there!

21 apples were rotten and got thrown out. The remaining apples were divided equally among 11 people
8 0
3 years ago
Read 2 more answers
Given that a = -1, b=2 and c= -3 ,find the value of a(b2+c2)
KiRa [710]

Answer:

a(b^{2}+c^{2}) = = -13

Step-by-step explanation:

Given that a = -1, b=2 and c= -3

find the value of a(b^{2}+c^{2})

Just substitute the values given for each variable

a(b^{2}+c^{2}) = (-1)(2^{2}+(-3)^{2}) ; do the exponents first

a(b^{2}+c^{2}) = (-1)(4+9)=(-1)(13) ; now add inside the parenthesis;

a(b^{2}+c^{2}) = -13 ; and multiply by -1

7 0
3 years ago
There is a proportional relationship between the volume of a sample of helium in liters and the mass of that sample in grams. if
love history [14]

Answer:

  • v = 5.6m

Step-by-step explanation:

<u>Proportional relationship equation:</u>

  • y = kx, where k- constant of proportionality

<u>Use the given point to work out the value of k:</u>

  • 28 = 5k
  • k = 28/5
  • k = 5.6

<u>In our case the equation is:</u>

  • v = 5.6m, where v- volume, m- mass
6 0
2 years ago
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