What are the coordinates of point K?

Answer:

0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 3 cm and a standard deviation of 0.04 cm.

This means that [tex]\mu = 3, \sigma = 0.04[/tex]

What is the probability that a bolt has a length greater than 2.96 cm?

This is 1 subtracted by the p-value of Z when X = 2.96. So

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

[tex]Z = \frac{2.96 - 3}{0.04}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.1587.

1 - 0.1587 = 0.8413

0.8413 = 84.13% probability that a bolt has a length greater than 2.96 cm.

Elias algebraic expression could not be found, however, the correct way of writing the expression is given below.

Answer:

X - 5

Step-by-step explanation:

To write an algebraic expression for the phrase 5 less than a number ; this means that we subtract from a certain number, x, the value 5

That is ; given a particular number, x ; 5 is then subtracted from it ;

Explicitly, it is written as : X - 5 ; where x is the number.

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Hi there!  

»»————-　★　————-««

I believe your answer is:  

(-3, -1) and (1, 3)

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Here’s why:  

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See the graph attached.

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»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

[tex]{ \tt{y = x + 2 - - - (a)}} \\ { \tt{ {x}^{2} + {y}^{2} = 10 - - - (b) }} \\ substitute \: for \: y \: in \: (b) : \\ { \tt{ {x}^{2} + {(x + 2)}^{2} = 10 }} \\ { \tt{ {x}^{2} + {x}^{2} + 4x + 4 = 10 }} \\ { \tt{2 {x}^{2} + 4x - 6 = 0}} \\ { \tt{ {x}^{2} + 2x - 3 = 0 }} \\ { \boxed{ \bf{x = 1 \: and \: - 3}}} \\ in \: (a) : \\ y = x + 2 \\ { \boxed{ \bf{y = 3 \: and \: - 1}}}[/tex]

Answer:

5x + 3(10) = 140

Step-by-step explanation:

Answer:

Both the mean and median and they both gives a measure of 17

Step-by-step explanation:

Given the data about the ages of 7 people :

17,20,22,12,15,12,21

Ordered data: 12, 12, 15, 17, 20, 21, 22

To find the median :

Median = 1/2 * (n+1)th term

n = number of observations = 7

Median = 1/2(7+1)th term

Median = 1/2 *8 = 4th term = 17

Mean = Σx / n = (sum of ages) / number of observations

Mean = 119 / 7 = 17

Given diameter = 1 inch

radius= D/2 = 1/2 = 0.5 inch

Circumference of circle = 2πr = 2×3.14×0.5= 3.14 inch

Answer circumference of a circle is 3.14 inch

Answer:

11 hours

Step-by-step explanation:

Answer:

the domain of h(x) = f(x) /g(x) will be all real numbers without -6 because for -6 will result the denominator equal zero and hence this fraction will be undefined

Step-by-step explanation:

Answer:

The true statement about Kendra's sample is:

b) Kendra's samples are precise but not accurate.

Step-by-step explanation:

a) Data and Calculations:

Average age of dogs currently alive = 4.8 years

Average ages of dogs in Kendra's sample

Week   Average Age (in years)

1                    3.7

2                   3.8

3                   4.2

4                   4.1

5                  3.9

6                  3.9

7                  4.0

Total         27.6

Mean = 3.9 (27.6/7)

b) Accuracy refers to how close Kendra's sample mean age of dogs is to the average age value as stated in the Modern Dog Magazine.  While the Magazine stated an average age of 4.8 years, Kendra's sample produced a mean of 3.9 years.  On the other hand, precision refers to how close Kendra's sample measurements are to each other.  With a mean of 3.9 years, the sample measurements are very close to each other.  Therefore, we can conclude that "Kendra's samples are precise but not accurate."

Answer:

Kendra's samples are precise but not accurate.

Step-by-step explanation:

To be accurate and precise they should be around 4.8 for all the measures. We can see that they are all relatively close to one another (between 3.7 and 4.2), so they are precise. However, they are all are smaller than 4.8, so they are not accurate.

Answer:

-I

Step-by-step explanation:

Given :

I= [tex]\sqrt{-1}[/tex]

Now

[tex]I^{2} =-1[/tex]

And [tex]I^{3} =-i[/tex]

Answer will be -I

Answer:

The answer is 220 cubic inches.

Step-by-step explanation:

To find the volume of the rectangular prism, use the formula for a rectangular prism, which is V= LWH. Next, plug in the information given from the question, and the formula will look like V= (10in) ([tex]5\frac{1}{2}[/tex] in) (4in).

Then, solve the equation for the answer, and the answer for the volume of the rectangular prism is 220 cubic inches.

Answer:

r = 25 yds

Step-by-step explanation:

The radius is 1/2 of the diameter

r =1/2d

r =1/2( 50 yds)

r = 25 yds

Answer:

39/44

Step-by-step explanation:

Change 3 1/4 to 13/4 (improper fraction)

Multiply 3/11 x 13/4 = 39/44

Answer:

the answer is number 4 h(x) = 1/4 x

Answer:

the  answer is 4 h(x) = 1/4 x.

Step-by-step explanation:

Answer:

53 yds

Step-by-step explanation:

Its just 3975 divided by 75

Answer:

Step-by-step explanation:

the tilt has no impact...

if not tilted then h=14 r=3 vol = pi 3^3 h = 14*9 π

=126π

Answer:

Brainly removed asking tutors by message, so the only way is by asking questions or typing in the comments.

Step-by-step explanation:

Popular answerers:

mhanifa

Wegnerkolmp2471o

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and others...

Answer:

4

Step-by-step explanation:

these are two similar triangles, so to solve for x, we create two similar ratios!

x/2 = 7/3.5

cross multiply.

14=3.5x

divide 14 by 3.5

x=4

Option D is correct, (3, 1/2) point is a solution to the inequality y <1/3x+1/2.

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given expression is y < 1/3x+1/2

y less than one divided by three times of x plus one divided by two.

Now let us check by plugging each ordered pair.

Now plug in (-2, 1)

1<1/3(-2)+1/2

1<-2/3+1/2

1<-4+3/6

Is false.

Now plug in (-1, 1)

1<-1/3+1/2

Is false.

Now plug in (0, 1/2)

1/2 < 1/2

is false.

Now plug in (3, 1/2)

1/2 < 3(1/3) + 1/2

1/2 < 1 + 1/2 is true.

Hence, (3, 1/2) point is a solution to the inequality y < 1/3x+1/2.

To learn more on Inequalities click:

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Answer:

173 cm

105 kg

Step-by-step explanation:

Given :

BSA= √wh /3600

where w = weight in kg and h = height in cm.

A.)

w = 75 kg ; BSA = 1.9 ; h =?

BSA= √wh /3600

1.9 = √75h /3600

Take the square of both sides

1.9² = 75h /3600

1.9² * 3600 = 75h

12996 = 75h

h = 12996 / 75

h = 173.28 cm

h = 173 cm

B.)

h = 166 ; BSA = 2.2

BSA= √wh /3600

2.2 = √w166 /3600

Take the square of both sides

2.2² = 166w /3600

2.2² * 3600 = 166w

17424 = 166w

w = 17424 / 166

w = 104.96 kg

w = 105 kg

Using the model given, we have that:

a) h = 173 cm.

b) w = 105 kg.

The BSA, for a person of weight w and height h, is given by:

[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]

Item a:

[tex]BSA = 1.9, w = 75[/tex], hence:

[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]

[tex]1.9 = \sqrt{\frac{75h}{3600}}[/tex]

[tex]\left(\sqrt{\frac{75h}{3600}}\right)^2 = 1.9^2[/tex]

[tex]\frac{75h}{3600} = 3.61[/tex]

[tex]h = \frac{3600(3.61)}{75}[/tex]

[tex]h = 173[/tex]

Hence:

h = 173 cm.

Item b:

[tex]BSA = 2.2, h = 166[/tex], hence:

[tex]BSA = \sqrt{\frac{wh}{3600}}[/tex]

[tex]2.2 = \sqrt{\frac{166w}{3600}}[/tex]

[tex]\left(\sqrt{\frac{166w}{3600}}\right)^2 = 2.2^2[/tex]

[tex]\frac{166w}{3600} = 4.84[/tex]

[tex]w = \frac{3600(4.84)}{166}[/tex]

[tex]w = 105[/tex]

Hence:

w = 105 kg.

A similar problem, in which there is also an application of a formula, is given at https://brainly.com/question/24348510

Answer:

The awnser should be 5% increase or D

Step-by-step explanation:

This should be the awnser because we know that 15 to 19 is a increase. And next 25% increase is way too much, so 5% should be it.

Answer:

1.) A negative linear pattern

2.) Y = - 0.298X1 + 22.241

3.) slope = - 0.298 ; intercept = 22.241

Kindly check explanation

Step-by-step explanation:

Fitting the time series data using technology, the regression equation obtained is :

Y = - 0.298X+ 22.241

Where ; y = percentage of adults who smoke

x = year

Comparing with the linear equation model :

y = b1x + b0

y = - 0.298x + 22.41

-0.298 = slope

22.41 = intercept

The mean squared error, MSE = 0.512

To achieve, percentage users of 12% or less :

y = 12

Y = - 0.298X+ 22.241

12 = - 0.298X + 22.241

12 - 22.241 = - 0.298X1

-10.241 = - 0.298X

X = 10.241 / 0.298

X = 34.365

X = 35 years

From the model OSHA is not on target to meet it's goal as it will take 35 - 11 = 24 years from the last year of the data to achieve a smoker percentage less Than 12%

Answer:

$48

Step-by-step explanation:

200 x .02 = 4 (This finds how much interest you pay per year.)

4 x 12 = 48 (This finds how much interest you pay altogether.)

If you borrow $200 for 12 years at an annual interest rate of 2%, then we have pay $248 altogether.

percentage, a relative value indicating hundredth parts of any quantity.

Given,

If you borrow $200 for 12 years at an annual interest rate of 2%

We need to find 2% of 200.

Firstly we have to convert  2% to decimal number by dividing with 100.

2/100=0.02

Now we have to multiply 0.02 with 200

0.02×200=4

For a month it is four.

Now we are calculating for year

4×12=48

So now the interest amount is 48.

Now add 48 and 200

48+200

248

Hence, If you borrow $200 for 12 years at an annual interest rate of 2%, then we have pay $248 altogether.

To learn more on Percentage click:

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Question: Given f(x) = x + 1 and g(x) = x ^2, what is

( g o f) (x)?

Answer: (C)---(g o f) (x) = x^2 + x + 1

Why? I just took this quiz on Plato and this was the correct answer.

Hope this help's!!!

                                                               ~Kenzie~

Answer:

Solution given:

f(x) = x +1 and g(x) = x²,

now

(gºf)(x) =g(fx)=g(x+1)=(x+1)²

D) (gºf)(x) = (x + 1)^2

9514 1404 393

Answer:

  $3,669.23

Step-by-step explanation:

If withdrawals are at the end of the month, the amortization formula works for this, too.

  A = P(r/12)/(1 -(1 +r/12)^(-12t)

where P is the principal invested at rate r for t years.

  A = $500000(0.063/12)/(1 -(1 +0.063/12)^(-12·20)) ≈ $3669.23

Beth can withdraw a monthly payment of $3,669.23 for 20 years.

_____

If the withdrawals are at the beginning of the month, the amount is lower by the monthly interest rate factor. It would be $3650.06.