formulate the quadratic function that contains the points (-2,1),(0,1)and (1,4)​

Answer:

  20

Step-by-step explanation:

The perimeter is the sum of the side lengths:

  4 + 6 + 4 + 6 = 20 . . . . units

Answer:

Center (- 5, - 6)

Radius 6 units

Step-by-step explanation:

x² + 10x + y² + 12y + 25 = 0

x² + 2*5*x + 5² + y² + 2*6*y + 6² - 5² - 6² + 25 = 0

(x + 5)² + (y + 6)² - 6² = 0

(x + 5)² + (y + 6)² = 6²

Center (- 5, - 6)

Radius 6 units

Answer:81

Step-by-step explanation:trust

Answer:

28 MEN

Step-by-step explanation:

X + X-3=59

2X-3=59

2X=62

X=31

MEN=31-3=28

Answer:

  1.81530×10⁴

Step-by-step explanation:

Keep the first 6 digits of the mantissa:

  1.81530×10⁴

__

Here, the 7th digit is less than 5, so it and all to the right are dropped.

Answer:

[tex]7.5 \times 10^6[/tex] miles

Step-by-step explanation:

[tex](5\times 10^4)\times (1.5 \times 10^2)=\\(5\times 1.5) \times (10^4 \times 10^2)=\\7.5 \times 10^6[/tex]

Hope this helps!

Answer:

9.88888888889 or rather, 8 8/9

Step-by-step explanation:

19 is the median of the numbers

Answer:

Step-by-step explanation:

Hello!

Tourists that visit Thailand are exposed to being bitten by a stray dog.

People that get bitten by a stray dog are at risk of getting rabies.

1) So you can determine two possible events that may happen:

A: The tourist got bitten by a stray dog.

B: The tourist got rabies.

2)

a.

"13 out of 1000 tourists get bit by a dog"

P(A)= 0.013

b.

"The percentage of tourists who have been bitten by a dog that get rabies is 15%" i.e. Given that the tourist was bitten by a dog, he got rabies. This is a conditional probability, is the probability of "B" given that "A" has already happened:

P(B|A)= 0.15

c.

"Ninety-nine percent of tourists who do not get bit by a dog will not get rabies."

The event "The tourist did not get bitten by a dog" is complementary to "A", so I'll symbolize it as: [tex]A^c[/tex]

The event "The tourist did not get rabies" is complementary to the event "B", so I'll symbolize it as [tex]B^c[/tex]

[tex]P(B^c|A^c)= 0.99[/tex]

3) See attachment for table

P(A)= 0.013 ⇒ P([tex]A^c[/tex])= 1 - 0.013= 0.987

P(A∩B)= P(B|A)*P(A)= 0.15*0.013= 0.00195 = 0.002

P(A∩[tex]B^c[/tex])= P(A) - P(A∩B)= 0.013-0.00195= 0.01105 = 0.011

[tex]P(B^c|A^c)= 0.99[/tex]

P([tex]B^c[/tex]∩[tex]A^c[/tex])= P([tex]A^c[/tex]) * [tex]P(B^c|A^c)[/tex]= 0.987*0.99= 0.977

P([tex]B^c[/tex])= P(A∩[tex]B^c[/tex]) + P([tex]B^c[/tex]∩[tex]A^c[/tex])= 0.011 + 0.977= 0.988

P(B∩[tex]A^c[/tex])= P([tex]A^c[/tex]) - P([tex]B^c[/tex]∩[tex]A^c[/tex])= 0.987 - 0.977= 0.01

5) P(B)= P(A∩B) + P(B∩[tex]A^c[/tex])= 0.002 + 0.01= 0.012

4) Attch

6)

P(A|[tex]B^c[/tex])= P(A∩[tex]B^c[/tex]) = 0.011   = 0.0111

                   P([tex]B^c[/tex])       0.988

I hope this helps!

Answer:

f(5) = 3*5

f(5) = 15

Answer: your answer is 243 :)

Step-by-step explanation:

Answer:

The answer is 9

Step-by-step explanation:

if u 170-125= 45 then u divide 5 into 45 and u get 9

Answer:

C≈40.21cm

Step-by-step explanation:

Answer:

40.192

Step-by-step explanation:

the radius is half of the diameter so the diameter is 12.8 now 12.8 times pi / 3.14

Answer:

Step-by-step explanation:

f(x) = x^2

reflect along the x-axis

g(x) = -x^2

expand vertilcally by a factor of 1/3

g(x) = (-1/3) x^2

move horizontally 4 units to the left

g(x) = (-1/3) (x+4)^2

hope this helps

Answer:

B. The graph of G(x) is the graph of F(x) stretched vertically, flipped over the x-axis, and shifted 4 units to the left.

Step-by-step explanation:

The [tex]\frac{-1}{3}[/tex] is less than one, making it stretch wider, and the (-) made it flip over the x-axis. The +4 in [tex](x+4)^2[/tex] made the function on the graph shift 4 units to the left.

This makes the correct answer be "B."

Answer:

work is shown and pictured

Look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

840,000

Step-by-step explanation:

841,487 sice the ten thousands place is under the number five you round down to 840,000

Answer:

1. 3

2. 2

3. 6

Step-by-step explanation:

1. 3 * 3 = 9

2. 5 - 2 = 3

3. 3 + 6 = 9

Answer:

predictive value of a positive test = 18.18%

predictive value of a negative test = 94.03%

Step-by-step explanation:

Sensitivity = 60% = 0.6

Specificity = 70% = 0.7

Let True Positive = TP

True Negative = TN

False Negative = FN

[tex]Sensitivity = \frac{TP}{TP + FN} \\0.6 = \frac{TP}{TP + FN} \\0.6TP + 0.6FN = TP\\0.4TP = 0.6FN\\TP = 1.5 FN[/tex]

[tex]Specificity = \frac{TN}{TN + FP} \\0.7 = \frac{TN}{TN + FP} \\0.7TN + 0.7FP = TN\\0.7FP = 0.3 TN\\TN = 7/3 FP[/tex]

Prevalence = 10% = 0.1

Three hundred people are screened, [tex]T_{total} = 300[/tex]

Total number of people having the disease, [tex]T_{disease} = ?[/tex]

[tex]Prevalence = \frac{T_{disease} }{T_{total} } \\0.1 = \frac{T_{disease} }{300 }\\T_{disease} = 30[/tex]

[tex]T_{disease} = TP + FN\\30 = TP + FN[/tex]

But TP = 1.5 FN

30 = 1.5 FN + FN

30 = 2.5 FN

FN = 30/2.5

FN = 12

TP = 1.5 FN = 1.5 * 12

TP = 18

[tex]FP + TN = T_{total} - T_{disease} \\FP + TN = 300 - 30\\FP + TN = 270\\FP + \frac{7}{3} FP = 270\\\frac{10}{3} FP = 270\\FP = 27 * 3\\FP = 81[/tex]

81 + TN = 270

TN = 189

To calculate the Predictive value of positive test (PPT)

[tex]PPT = \frac{TP}{TP + FP} * 100\\PPT = \frac{18}{18+81} * 100\\PPT = \frac{18}{99} * 100\\PPT = 18.18 \%[/tex]

To calculate the Predictive value of negative test (PNT)

[tex]PPT = \frac{TN}{FN + TN} * 100\\PPT = \frac{189}{189+12} * 100\\PPT = \frac{189}{201} * 100\\PPT = 94.03 \%[/tex]

Answer:

D about 44%

Step-by-step explanation:

just took the tests

Using the percentage concept and the given table, it is found that about 39% of males supported Wilson.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P=\frac{a}{b}\times 100%[/tex]

In this problem, males are 46% of the sample, and 18% are males that supported Wilson,

[tex]P=\frac{18}{46} \times 100=39[/tex]

About 39% of males supported Wilson.

To learn more about the percentage of visit:

https://brainly.com/question/24304697

#SPJ2

Answer:

the number is 12

Step-by-step explanation:

9+2x=3x-3

9+3=3x-2x

12=x

The required number is 12.

A linear equation only has one or two variables. No variables in a linear equation is raised to power greater than 1 or used as denominator of a fraction.

Now it is given that,9 more than twice a number is 3 less than three times the same number.

Let the number be x.

So, 9 more than twice a number = 9 +2x

and, 3 less than three times the same number = 3x - 3

Hence we have,

9 + 2x = 3x - 3

Adding 3 both the side we get,

12 + 2x = 3x

Now substracting 2x both the side we get,

x = 12

Hence the number is 12.

More about linear equation :

https://brainly.com/question/16584198

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Answer:

0.96 in^3

Step-by-step explanation:

Are those the only three choices? Anyway, I hope this helps

Answer:

7 rounds

Step-by-step explanation:

After the 5th round, 8 divide by 2 equals 4. After the 6th round, 4 divided by 2 equals 2. After the 7th round, 2 divided by 2 equals 1 determining a winner. After every round, the number of people is decreased by dividing by 2.

Hope this helps!!! PLZ MARK BRAINLIEST!!! GG’s

Answer:

  -7

Step-by-step explanation:

l = kh . . . . . l is proportional to h with proportionality constant k

112 = k·(-16) . . . . . .  use the given numbers

k = -112/16 = -7  . . . divide by the coefficient of k

The constant of proportionality is -7.

Answer:

a) Null hypothesis:[tex]p\leq 0.12[/tex]  

Alternative hypothesis:[tex]p > 0.12[/tex]  

b) [tex] z_{\alpha}=1.64[/tex]

c) [tex]z=\frac{0.134 -0.12}{\sqrt{\frac{0.12(1-0.12)}{1000}}}=1.362[/tex]  

d) [tex]p_v =P(z>1.362)=0.0866[/tex]  

e) For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12

Step-by-step explanation:

Information given

n=1000 represent the random sample selected

X=134 represent the number of young drivers ages 18 – 24 that had an accident

[tex]\hat p=\frac{134}{1000}=0.134[/tex] estimated proportion of young drivers ages 18 – 24 that had an accident

[tex]p_o=0.12[/tex] is the value that we want to verify

[tex]\alpha=0.05[/tex] represent the significance level

Confidence=95% or 0.95

z would represent the statistic

[tex]p_v{/tex} represent the p value

Part a

We want to verify if the population proportion of young drivers, ages 18 – 24, having accidents is greater than 12%:  

Null hypothesis:[tex]p\leq 0.12[/tex]  

Alternative hypothesis:[tex]p > 0.12[/tex]  

The statistic would be given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Part b

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.05 of the area in the right and we got:

[tex] z_{\alpha}=1.64[/tex]

Part c

For this case the statistic would be given by:

[tex]z=\frac{0.134 -0.12}{\sqrt{\frac{0.12(1-0.12)}{1000}}}=1.362[/tex]  

Part d

The p value can be calculated with the following probability:

[tex]p_v =P(z>1.362)=0.0866[/tex]  

Part e

For this case since the statistic is lower than the critical value and the p value higher than the significance level we have enough evidence to FAIL to reject the null hypothesis so then we don't have information to conclude that the true proportion is higher than 0.12

Answer:

the first one

Step-by-step explanation:

hope this helps

Answer:

A.

Step-by-step explanation:

The coordinates are used in the order of (x1,y1)and (x2,y2)

Answer:

  x^3 +3x^2 +6x

Step-by-step explanation:

Eliminate parentheses using the distributive property. Collect terms. Standard form has the exponents decreasing.

  = 8x -6x^3 +5x^2 -2x^2 -2x +7x^3

  = x^3(-6 +7) +x^2(5 -2) +x(8 -2)

  = x^3 +3x^2 +6x

Answer:

d) No, this would not be unusual because 46% is only 1.2 standard errors from 40%.

Step-by-step explanation:

Problems of normally distributed samples are solved using 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.

If the z-score is higher than 2 or lower than -2, X is unusual.

In this question:

Mean = 40%. So [tex]\mu = 0.4[/tex]

Standard error = 5%. So [tex]\sigma = 0.05[/tex]

Is 46% unusual?

We have to find Z when X = 0.46. So

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

[tex]Z = \frac{0.46 - 0.4}{0.05}[/tex]

[tex]Z = 1.2[/tex]

1.2 is lower than 2, that is, it is only 1.2 standard deviations from the mean.  So 46% is not unusual.

So the correct answer is:

d) No, this would not be unusual because 46% is only 1.2 standard errors from 40%.

Answer:66 hours of video games in three weeks!

Step-by-step explanation:First you would multiply 6 by 2 because the weekend refers to Saturday and Sunday which are two days,when you multiply 6 by 2 you get 12.Next you would multiply 2 by 5 because the problem says  2 hours each day of the week,when you multiply 2 by 5 you get 10.Then you add 10 and 12 which gets you to 22.Last but not least you multiply 22 by 3 because the question says  how many hours does mr.danie spend playing video games over 3 weeks,which bring you to 66!

I hope I helped!

Answer:

B) n = 6

Step-by-step explanation:

4n + 12 = 8n - 12

Combine like terms

24 = 4n

n = 6

Answer: 6

Step-by-step explanation:

set 4n+12 and 8n-12 equal to each other and you should get 6