C is the circle with equation x^2+y^2=1 , Q(1/2,square root of 3/2) is a point on C. The equation of the tangent to C at the point Q can be written in the form y=ax+b, find the value of a and the value of b

Answer:

1) The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1

2) The expected amount of surcharges is $250

Step-by-step explanation:

Given that;

Y      0           1       2        3         4

p(y) 0.50   0.20   0.15   0.10   0.05

1)

Value of E(Y)

E(Y) = (0×0.50) + ( 1×0.20) + ( 2×0.15) + (3×0.10) + (4×0.05)

= 0 + 0.20 + 0.3 + 0.3 + 0.2

E(Y) = 1

Therefore, The expected value of the number of moving violations for which the individual was cited during the last 3 years is 1

b)

Suppose an individual with Y violations incurs a surcharge of $100Y² , the expected amount of the surcharge is given by,

E($100Y²) = 100E(Y)²

= 100∑Y²P(y)

= 100(0²×0.50) + ( 1²×0.20) + ( 2²×0.15) + (3²×0.10) + (4²×0.05)

= 100( 0 + 0.2 + 0.6 + 0.9 + 0.8 )

= 100(2.5)

= $250

Therefore; The expected amount of surcharges is $250

Answer:

the zeros of the function are those that result, when plugged into the equation, in zero; the zeros are -3, 1, and 1/2

Step-by-step explanation:

all possible factors:

±3/2,  ±1/2,  ±3,  ±1

2x³ + 3x² - 8x + 3

let '2' = p and let '3' = q

factors of 'p' are 1 and 2

let '3' = q

factors of 'q' are 1 and 3

possible factors are q/p

Answer:

They are the same

Step-by-step explanation:

When you convert 0.578 into a percentage you get 57.8%

When you convert 57.8% into a decimal you get 0.578

Answer:

$901.64

Step-by-step explanation:

Given data

rate= 7%

Final amount = $1650

time= 9 years

Let us apply the compound interest formula to solve for the Principal amount P

A=P(1+r)^t

substitute

1650=P(1+0.07)^9

1650=P(1.07)^9

1650=P1.84

Divide both sides by 1.84

P=1650/1.83

P=901.64

Hence she needs to invest $901.64

Answer:

880

Step-by-step explanation:

9514 1404 393

Answer:

  13 square units

Step-by-step explanation:

See the attached figure.

The horizontal dashed line divides the figure into two pieces:

The appropriate area formulas can be used to find the areas of these. The figure's area will be their sum.

  A = (1/2)bh = (1/2)(4)(2) = 4 . . . . square units

  A = (1/2)(b1 +b2)h = (1/2)(5 +4)(2) = 9 . . . . square units

The area of the shape is ...

  (4 +9) square units = 13 square units

Answer:

they are parallel

Step-by-step explanation;

You would have to get the Y by itself in the bottom one so go

2x-3y=-3

-2x        -2x

-3y=2x-3

_________

-3        -3

_________

y= -2/3x+ 1

and they are the same equaion

so they end up parallel

Answer:

x=0, which represents the savings at the beginning of the savings plan

Step-by-step explanation:

Intercept, when x (the number of years/months) is zero. which represents the savings at the beginning of the savings plan

Answer:

24

Step-by-step explanation:

because  its 24 gkrjkkmn lol

Answer:

42/56 = 3/4

Step-by-step explanation:

Answer:

The simplified fraction is [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Simplifying Fractions

A given fraction [tex]\frac{a}{b}[/tex] can be simplified if a and b have common factors, i.e. if they can be evenly divided by at least one equal number.

The fraction is:

[tex]\frac{42}{56}[/tex]

We'll simplify it by 2 since both numbers are even:

[tex]\frac{42}{56}=\frac{21}{28}[/tex]

The next prime common factor is 7. Dividing by 7:

[tex]\frac{42}{56}=\frac{21}{28}=\frac{3}{4}[/tex]

Thus, the simplified fraction is [tex]\frac{3}{4}[/tex]

Answer:

B

Step-by-step explanation:

Neither is a solution because when you subtract 5 from 25 you get 20.

Answer:

Part A 2/22=1/11

Part B 85

Step-by-step explanation:

Answer:

Hola amiga no se ablar inglés losiento

Answer: c=144

Step-by-step explanation:

Answer:

97% of her laps are completed in less than 134 seconds.

The fastest 5% of her laps are under 125.96 seconds.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

[tex]\mu = 129.71, \sigma = 2.28[/tex]

Find the percent of her laps that are completed in less than 134 seconds.

We have to find the pvalue of Z when X = 134. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{134 - 129.71}{2.28}[/tex]

[tex]Z = 1.88[/tex]

[tex]Z = 1.88[/tex] has a pvalue of 0.9699, so 97% of her laps are completed in less than 134 seconds.

The fastest 5% of her laps are under how many seconds?

This is the 5th percentile of times, which is X when Z has a pvalue of 0.05, that is, X when Z = -1.645. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.645 = \frac{X - 129.71}{2.28}[/tex]

[tex]X - 129.71 = -1.645*2.28[/tex]

[tex]X = 125.96[/tex]

The fastest 5% of her laps are under 125.96 seconds.

Answer:

X = 11 or -11

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the v has an exponent of 6. thus is is 6th degree (degree is highest exponent in the polynomial). There is one term, hence is it a MON (one) ominal.

Put 'em together and you get:

6th degree monomial.

Have a nice day :)

Answer: 37.5%

Step-by-step explanation:

200-125=75

75 divided by 200 is 0.357

since we need percent so were gonna move the decimal point 2 places so the final answer is 37.5% remain unsold

Answer:

2.7 mpg less than Evan's

Step-by-step explanation:

Riley gets 430.1 / 11 = 39.1 mpg

Evan gets 418 / 10 = 41.8 mpg

41.8 - 39.1 = 2.7

9514 1404 393

Answer:

  2.7, less

Step-by-step explanation:

To find miles per gallon (MPG), divide miles by gallons.

  Riley's car:

     (430.1 mi)/(11 gal) = 39.1 mi/gal

  Evan's car:

     (418 mi)/(10 gal) = 41.8 mi/gal

__

Then the difference is ...

  41.8 -39.1 = 2.7 . . . miles per gallon

We note that Riley's MPG is less than Evan's, so we can write ...

  Riley's car gets 2.7 miles per gallon less than Evan's car.

Answer:

gg

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2 x 2 =4

From the Moore's Law, the predicted number of transistors per IC in 1992 would be approximately 4,096,000.

Given data:

Based on this exponential growth pattern, use the estimate of 4,000 transistors per IC in 1972 to predict the number of transistors per IC in 1992.

To predict the number of transistors per IC in 1992, determine how many doublings occurred during the 20-year period from 1972 to 1992.

Since each doubling represents a multiplication by 2, calculate the number of doublings as follows:

Number of doublings = (1992 - 1972) / 2

Number of doublings = 20 / 2

Number of doublings = 10

Now, use this number of doublings to predict the number of transistors per IC in 1992:

Predicted number of transistors per IC in 1992 = 4,000 * (2^10)

Predicted number of transistors per IC in 1992 = 4,000 * 1,024

Predicted number of transistors per IC in 1992 ≈ 4,096,000

Hence, based on Moore's Law and the estimate of 4,000 transistors per IC in 1972, the predicted number of transistors per IC in 1992 would be approximately 4,096,000.

To learn more about Moore's Law, refer:

https://brainly.com/question/15018447

#SPJ4

Answer:

C

A

B

D

Step-by-step explanation:

Answer:

1. Mode = 7

2. Range = 8

Step-by-step explanation:

The following set of data were obtained from the question:

4, 6, 5, 9, 3, 2, 7, 7, 1, 8

Mode =?

Range =?

1. Determination of the mode of the data.

Mode is simply defined as the mark (score) with the highest frequency. Thus we can obtain the mode as follow:

Scores >>>>>>> Frequency

4 >>>>>>>>>>>> 1

6 >>>>>>>>>>>> 1

5 >>>>>>>>>>>> 1

9 >>>>>>>>>>>> 1

3 >>>>>>>>>>>> 1

2 >>>>>>>>>>>> 1

7 >>>>>>>>>>>> 2

1 >>>>>>>>>>>> 1

8 >>>>>>>>>>>> 1

From the above illustration, we can see that the mark 7 has the highest frequency. Therefore, 7 is the mode of the data .

2. Determination of the range of the data.

Range of a given data is simply obtained by calculating the difference between the highest and the lowest score. The range can be obtained as follow:

Highest score = 9

Lowest score = 1

Range = Highest – Lowest

Range = 9 – 1

Range = 8

Answer:the right answer is a

Step-by-step explanation:

ive done this question

hope it helps

Answer:

1.977

Step-by-step explanation:

line up your decimal points

 7.100

- 5.123  (borrow from 1 to make it 0 and make the 0 to the right of it a 10)

             (now borrow from the 10 to make it 9 and make the other zero a 10)

7.100

- 5.123  (now borrow from 7 to make it 6 and make the 0 to the right of it a 10)

        7   (now borrow from the 10 to make it 9 and subtract the 2)

7.100

- 5.123  (now subtract 1 from 10 and then subtract 5 from 6)

 1.977  

Answer:

2962.8

Step-by-step explanation:

you wants to divide how much percent into the house in three years then the answer would be

the third one, you have written not clearly

bwhwhsbsh hsbsvs bw wjw wjw whe

Answer:

i think its a or d but im hoorible at math so if its wrong im sorry

Step-by-step explanation:

Answer:

a = 4, b = 2, c = 16, d = 9

Step-by-step explanation:

Solving the first part of the question by indices,

Comparing the rightmost term with the second term in the question,

a = 4, b = 2

Solving on,

Comparing with the final term in the question,

c = 16 and d = 9

Therefore,

a = 4, b = 2, c = 16, d = 9

Step-by-step explanation:

Answer:

0.49

Step-by-step explanation:

49/100 = 0.49

I uh apparently need to explain more