For the quadratic function below, what is the rate of change over the interval.

5 ≤ x ≤ 6

--
2
1
-2
-1

Complete Question

Height of Dutch Men. Males in the Netherlands are the tallest, on average, in the world with an average height of 183 centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally distributed with a mean of 183 cm and standard deviation of 10.5 cm.a.What is the probability that a Dutch male is shorter than 175 cm?b.What is the probability that a Dutch male is taller than 195 cm?c.What is the probability that a Dutch male is between 173 and 193 cm?d.Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?

Answer:

a. 0.2231

b. 0.1266

c. 0.6591

d. 252 people

Step-by-step explanation:

We solve using the z score formula of

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 183 cm

σ is the population standard deviation = 10.5 cm

a.What is the probability that a Dutch male is shorter than 175 cm?

This is interpreted as when x < 175 cm

Hence:

z = 175 - 183/10.5

z = -0.7619

Probability value from Z-Table:

P(x<175) = 0.22306

Approximately ≈ 0.2231

b.What is the probability that a Dutch male is taller than 195 cm?

This is interpreted as when x > 195 cm

Hence:

z = 195 - 183/10.5

z = 1.14286

Probability value from Z-Table:

P(x<195) = 0.87345

P(x>195) = 1 - P(x<195) = 0.12655

Approximately ≈ 0.1266

c.What is the probability that a Dutch male is between 173 and 193 cm?

For x = 173

z = 173 - 183/10.5

z = -0.95238

Probability value from Z-Table:

P(x = 173) = 0.17045

For x = 193

Hence:

z = 193 - 183/10.5

z = 0.95238

Probability value from Z-Table:

P(x= 193) = 0.82955

Hence, the probability that a Dutch male is between 173 and 193 cm

P(x = 193) - P(x = 173)

0.82955 - 0.17045

= 0.6591

d.Out of a random sample of 1000 Dutch men, how many would we expect to be taller than 190 cm?

This is interpreted as when x > 190 cm

Hence,

z = 190 - 183/10.5

= 0.66667

Probability value from Z-Table:

P(x<190) = 0.74751

P(x>190) = 1 - P(x<190)

= 0.25249

Therefore, the number of people we would expect to be taller than 190 cm is

Random number of samples × Probability

= 1000 × 0.25249

= 252.49 people

Approximately≈ 252 people

Answer:

I think the answer is C

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

Answer:

Interval Notation:

(6,∞)

Inequality Form:

x>6

there ya go

Complete question :

Complete the expressions Write each answer as a number, a variable, or the product of a number and a variable 7(9r + 2) = 7 . 9r + 7 . ___ = ___ +

Answer:

2 ; 63r ; 14

Step-by-step explanation:

Given :

7(9r + 2)

Opening the bracket :

7*9r + 7*2 - - - - (1)

Taking the product

63r + 14 - - - - (2)

Now filling the blanks :

First blank corresponds to 2 (from (1))

Second blank corresponds to 63r (from (2))

Third blank should be 14

Answer:

Top bound = 0.001695

Lower bound = 0.001685

Step-by-step explanation:

The number given is 0.00169

Now, this is in 5 decimal places.

So, the lower bound will be;

0.00169 - 0.000005 = 0.001685

Thus is because rounding 0.001685 will give 0.0169

But for the top bound, we will add 0.000005 to the number;

Thus;

0.00169 + 0.000005 = 0.001695

what are the suggestions?

Answer:

what are the options

Step-by-step explanation:

Answer:

628 Cubic Yards

Step-by-step explanation:

Answer:

tanx=30/27

tanx=10/9

x=48

Answer:

a) 112 ft.

b) 256 ft. and 3 seconds

c) 7 seconds

Step-by-step explanation:

a) The model rocket is lauched from a platform. To find the height of the platform, we need to find h when t = 0, because the rocket starts from the platform when no time has elapsed:

[tex]h=-16t^2+96t+112[/tex]

[tex]h=-16*0+96+0+112\\\\h=112[/tex]

Therefore, the height of the platform is [tex]\fbox{112}[/tex] ft.

b) If you learned calculus before, we can find the maximum height easily. We take the derivative of h and set it equal to 0. Remember, the derivative of a function is simply the slope of it at an instantaneous point. At the maximum point of a function, it's slope equals to 0.

[tex]h=-16t^2+96t+112\\h'=-32t+96+0\\h'=-32t+96[/tex]

Ok! Let's set the derivative of h to 0!

[tex]0=-32t+96\\-96=-32t\\t=3[/tex]

We now know how long it takes for the rocket to reach maximum point (t represents seconds), but we also need to find the maximum height. We can simply plug our t=3 into the function of h, because t=3 is the point where the rocket reaches maximum height:

[tex]h(3)=-16(3)^2+96*3+112\\h(3)=-144+288+112\\h(3)=256[/tex]

The maximum height of the rocket is [tex]\fbox{256}[/tex] ft and the rocket takes [tex]\fbox{3}[/tex] seconds to reach the height.

c) The rocket reaches the ground when h equals 0. We can set up the equation to solve for it:

[tex]h=-16t^2+96t+112\\0=-16t^2+96t+112\\0=-16(t+1)(t-7)\\0=(t+1)(t-7)\\t=-1, t=7[/tex]

However, time can never be negative.

Therefore, it takes the rocket [tex]\fbox{7}[/tex] seconds to reach the ground.

I hope this helps! Let me know if you have any questions :)

Answer:

.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

Below in bold.

Step-by-step explanation:

One way to do these is to square both sides:

(x + 4)^2 < 4x^2

x^2 + 8x + 16 < 4x^2

3x^2 - 8x - 16 > 0

Let this = 0:

3x^2 - 8x - 16 = 0

(3x + 4)(x - 4) = 0

x = -4/3, 4.

So the critical  points are -4/3 and 4.

Make a table:

                      x < - 4/3           -4/3 +< x  <= 4            x > 4

3x + 4                  <0                        > 0                        > 0

x - 4                     <0                        < 0                       > 0

(3x+4)(x-4)           >0                        <0                         > 0

So the solution is   x < -4/3 or x > 4

or in  interval notation:

(-∞, -4/3) U (4, ∞)

Answer:

See image below for answer:)

Step-by-step explanation:

FYI you can use the app photo math, you just take a pic of the problem and it gives you the answer and explains the steps and it is free.

Answer:

25

Step-by-step explanation:

The length of side EF in Cory's project is 25 inches. Thus, the correct answer is option b.

To determine the length of side EF in Cory's project, we can use the concept of proportionality between corresponding lengths in Cory's design and project.

We are given that the length ML in Cory's design corresponds to the length DC in Cory's project, and ML is 8 inches while DC is 40 inches. Using this information, we can set up the proportion:

ML / DC = NH / EF

Plugging in the known values, we have:

8 / 40 = 5 / EF

To solve for EF, we can cross-multiply:

8 * EF = 40 * 5

8EF = 200

Dividing both sides by 8:

EF = 200 / 8

EF = 25

Therefore, the length of side EF in Cory's project is 25 inches.

Thus, the correct answer is option b: 25 inches.

To learn more about length click on,

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Answer:

espero ayudarte ..............❤❤

Answer:

b

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A, B, and D are all incorrect. The thing is you have to keep the pencils and notebooks separate. Then you add the totals of each. Anything that combines either the cost of one pencil and 1 notebook (such as B 1.78 (x + y)  is incorrect.

D is kind of a special case, but it is not correct. The price of one notebook and 1 pencil is $1.78.  But then you add 1 pencil and 1 notebook and you get some sort of odd term.

E is wrong. It would be right is y and x were interchanged so the x would go with 0.08

That leaves C which is the correct way to write it.

9514 1404 393

Answer:

  about 33.4°

Step-by-step explanation:

There are many ways to work this problem. A solution using a geometry program is shown in the attachment. The ship must turn about 33.4° to the north.

__

Another way to work this is to redraw the diagram so the initial starting point is left of the origin on the x-axis. Then the ship's direction can be considered to be straight to the right along the x-axis. The origin is the ship's turning point. The ship's destination can be considered to be 350∠22° from the initial position of the ship. The location of that destination relative to the origin represents the turn the ship must make.

At 18 mph for 7 h, the ship has traveled 126 miles.

Using the above method, the ship's destination relative to the origin is ...

  (-126, 0) +(350)(cos(22°), sin(22°)) = (198.514, 131.112)

Then the angle the ship must turn is ...

  arctan(131.112/198.514) ≈ 33.44°

The ship must turn about 33.4° to the north to head directly to Barcelona.

Answer:

$1827

Step-by-step explanation:

Since Cheryl is said to be paid an exempt salary. Then it can be said that Cheyk does not qualify for minimum wage or overtime pay, Hence, exempt payment is in terms or salary rather than wage. Similarly. Gross earning refers the amount a worker receives as income over a certain period of time. The gross income has not been subjected to tax charges or any form of deduction. Hence, it could be said to be the outright earning paid to an employee before any deduction is made.

Hence, Cheryl's gross weekly earning is $1827 per week.

Answer:

14

Step-by-step explanation:

Simply take the square root of 196.

Hope that this helps!

Answer:

The side length is 14 m

Step-by-step explanation:

The formula for the area of a square is A = s^2, where s represents the length of one side.

If A = s^2  =  196m^2, we find the side length by taking the square root of both sides:  

s = √(196 m^2) = 14 m

The side length is 14 m

Answer:

Miki had 288 stickers and Ken had 252 stickers.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

Miki has x stickers.

Ken has y stickers.

The ratio of the number of Miki's stickers to the number of Ken's stickers was 8:7.

This means that [tex]\frac{x}{y} = \frac{8}{7}[/tex], that is: [tex]7x = 8y[/tex], or [tex]x = \frac{8y}{7}[/tex]

After Miki gave Ken 18 of her stickers, they had the same number of stickers.

This means that:

[tex]x - 18 = y + 18[/tex]

[tex]x - y = 36[/tex]

Since [tex]x = \frac{8y}{7}[/tex]

[tex]\frac{8y}{7} - y = 36[/tex]

[tex]\frac{8y}{7} - \frac{7y}{7} = 36[/tex]

[tex]\frac{y}{7} = 36[/tex]

[tex]y = 36*7 = 252[/tex]

And

[tex]x - y = 36[/tex]

[tex]x = 36 + y = 36 + 252 = 288[/tex]

Miki had 288 stickers and Ken had 252 stickers.

Answer: 5,508 m3

Step-by-step explanation:  V= 18 x 17 x 18 = 5,508 m3

Answer:5, 508

Step-by-step explanation:

V 18×18×17=5,508

Answer:

D. my answer for your question

Answer:

D) [tex]222[/tex] [tex]km^2[/tex]

Step-by-step explanation:

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

Let's find the surface area of the rectangular prism.

Multiply 7 times 9 for the front side and 7 times 9 again for the back side.

[tex]7*9=63[/tex]

[tex]7*9=63[/tex]

---------->>>>

Multiply 7 times 3 for the left side and 7 times 3 again for the right side.

[tex]7*3=21[/tex]

[tex]7*3=21[/tex]

---------->>>>

Multiply 3 times 9 for the top side and again for the bottom side.

[tex]3*9=27[/tex]

[tex]3*9=27[/tex]

---------->>>>

Now, let's add all these sums.

[tex]63+63+21+21+27+27=[/tex]

[tex]126+42+54=[/tex]

[tex]168+54=[/tex]

[tex]=222[/tex]

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

Hope this is helpful.

The given statement is false. Because If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is positive.

Two variables with a negative correlation tend to move in opposing directions.

While a correlation value of -0.3 or below shows a very weak association, one of -0.8 or lower suggests a significant negative relationship.

The complete question is;

"The given statement is true or false

If the r-value, or correlation coefficient, of a data set, is negative, the coefficient of determination is negative."

Because If a data set's r-value, or correlation coefficient, is negative, the coefficient of determination is positive.

Hence, the given assertion is incorrect.

To learn more about the correlation refer to:

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Answer:

7x

Step-by-step explanation:

its simple you just add them

Answer:

20

Step-by-step explanation:

Answer:

The last one!

Step-by-step explanation:

Answer:

For the geometric sequence, it has two forms of formula

We are interested in the recursive formula now

{-80, 20, -5, ...}

The common ratio is (20/-80)=(-5/20)=-1/4=-0.25

So our recursive formula would bea_n=a_{n-1}*(-0.25)=a_{n-1}*(- \frac{1}{4} )an=an−1∗(−0.25)=an−1∗(−41)

Step-by-step explanation:

For the geometric sequence, it has two forms of formula

{-80, 20, -5, ...}

The common ratio is (20/-80)=(-5/20)=-1/4=-0.25

So our recursive formula would be a n=a {n-1}*(-0.25)=a_{n-1}*(- \frac{1}{4} )an=an−1∗(−0.25)=an−1∗(−41)

Step-by-step explanation:

(7-11)+(-3+51)

(-4)+(48)

44 ans

Answer:

44

Step-by-step explanation:

7-11= -4

-3+51=48

-4+48=44