AC =
Round your answer to the nearest hundredth.
65

Answer:

1.Work out the Mean (the simple average of the numbers)

2.Then for each number: subtract the Mean and square the result.

3.Then work out the mean of those squared differences.

4.Take the square root of that and we are done!

Step-by-step explanation:

Answer:

To calculate the standard deviation of those numbers:  Work out the Mean the simple average of the numbers. Then for each number: subtract the Mean and square the result.  Then work out the mean of those squared differences. It was easy. Have a great day.

Step-by-step explanation:

Brainliest!

Answer:

t = 5.46 secs and t = 2.42 secs

Step-by-step explanation:

The distance of the ball from the ground is given by:

[tex]s(t) = -16t^2 + 126t[/tex]

When the ball is at a distance 211 ft from the ground, that means s(t) = 211 ft. we need to find t:

[tex]211 = -16t^2 + 126t[/tex]

[tex]=> 16t^2 -126t + 211 = 0[/tex]

Using the quadratic formula:

[tex]t = \frac{-b + \sqrt{b^2 - 4ac} }{2a}[/tex] and [tex]t = \frac{-b - \sqrt{b^2 - 4ac} }{2a}[/tex]

where a = 16, b = 126 and c = 211

Hence:

[tex]t = \frac{-(-126) + \sqrt{(-126)^2 - 4(16)(211)} }{2(16)}[/tex]     and          [tex]t = \frac{-(-126) - \sqrt{(-126)^2 - 4(16)(211)} }{2(16)}[/tex]

[tex]t = \frac{126 + \sqrt{15876 - 13504} }{32}[/tex]                     and           [tex]t = \frac{126 - \sqrt{15876 - 13504} }{32}[/tex]

[tex]t = \frac{126 + \sqrt{2372} }{32}[/tex]                                and           [tex]t = \frac{126 - \sqrt{2372} }{32}[/tex]

[tex]t = \frac{126 + 48.703 }{32}[/tex]                                and           [tex]t = \frac{126 - 48.703 }{32}[/tex]

[tex]t = \frac{174.703}{32}[/tex]                                     and           [tex]t = \frac{77.297}{32}[/tex]

=> t = 5.46 secs and t = 2.42 secs

This means that the ball will be at 211 feet at two different times, first, after 2.42 seconds and then after 5.46 seconds.

This makes sense because the ball is projected upwards, which means that when going up, it attains 211 feet and also, when coming back down, it also attains 211 feet.

To determine the time when the ball is 211 feet off the ground, set s(t) equal to 211 and solve the resulting quadratic equation (-16t^2 + 126t - 211 = 0) using the quadratic formula. Discard the negative solution as it represents a time before launch.

In response to the given question, we need to determine the time when the ball is 211 feet from the ground given the formula s(t)=-16t^2 + 126t. This is a quadratic equation which can be solved for t using the quadratic formula.

First, we need to set the equation equal to 211 to solve for when the ball is this distance off the ground. So, -16t^2 + 126t = 211. Rearrange the equation: -16t^2 + 126t - 211 = 0.

Now, apply the quadratic formula t = [-b ± sqrt(b^2 - 4ac)] / 2a, where a = -16, b = 126, and c = -211. This yields two solutions corresponding to the times at which the ball is 211 feet from the ground. The negative solution represents a moment before the ball is launched, hence we discard it. The positive value is the time at which the ball attains a height of 211 feet.

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Answer:

[tex]P(90<X<110)=P(\frac{90-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{110-\mu}{\sigma})=P(\frac{90-100}{15}<Z<\frac{110-100}{15})=P(-0.67<z<0.67)[/tex]

[tex]P(-0.67<z<0.67)=P(z<0.67)-P(z<-0.67)[/tex]

[tex]P(-0.67<z<0.67)=P(z<0.67)-P(z<0.67)=0.749-0.251=0.498[/tex]

Step-by-step explanation:

Let X the random variable that represent the IQ scores, and for this case we know the distribution for X is given by:

[tex]X \sim N(100,15)[/tex]  

Where [tex]\mu=100[/tex] and [tex]\sigma=15[/tex]

We want to find this probability

[tex]P(90<X<110)[/tex]

And we can use the z score formula given by:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

If we apply this formula to our probability we got this:

[tex]P(90<X<110)=P(\frac{90-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{110-\mu}{\sigma})=P(\frac{90-100}{15}<Z<\frac{110-100}{15})=P(-0.67<z<0.67)[/tex]

And we can find this probability with this difference:

[tex]P(-0.67<z<0.67)=P(z<0.67)-P(z<-0.67)[/tex]

And in order to find these probabilities we can use the normal standard table or excel and we got.  

[tex]P(-0.67<z<0.67)=P(z<0.67)-P(z<0.67)=0.749-0.251=0.498[/tex]

Answer:

For the first one it would be 84

Second: 45

Step-by-step explanation:

First one: 7 times 12.

Second: add 30 and 30 together which is 60. Then divide 30 in half which is 15. Then add 15 to 30.

Answer:

3. 84 inches

4. 75 miles

Step-by-step explanation:

3.

Scale = 1/12 × actuall

7 = 1/12 × actual

actual = 7 × 12 = 84 inches

4.

Map : actual

1 in : 30 miles

2.5 in : X miles

X/2.5 = 30/1

X = 2.5×30 = 75 miles

Answer:

x = 16

Step-by-step explanation:

4x - 7 = 3x + 9

4x = 3x + 16

1x = 16

x = 16

Answer:

[tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]

Step-by-step explanation:

Using the difference formula for cosine and the exact values

cos45° = sin45° = [tex]\frac{\sqrt{2} }{2}[/tex], cos30° = [tex]\frac{\sqrt{3} }{2}[/tex], sin30° = [tex]\frac{1}{2}[/tex]

cos(a - b) = cosacosb + sinasinb

Note 15° = 45° - 30°, thus

cos15°

= cos(45 - 30)°

= cos45°cos30° + sin45°sin30°

= ([tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{\sqrt{3} }{2}[/tex] ) + ([tex]\frac{\sqrt{2} }{2}[/tex] × [tex]\frac{1}{2}[/tex] )

= [tex]\frac{\sqrt{6} }{4}[/tex] + [tex]\frac{\sqrt{2} }{4}[/tex]

= [tex]\frac{\sqrt{6}+\sqrt{2} }{4}[/tex]

Answer:

[tex]\frac{\sqrt{6} +\sqrt{2} }{4}[/tex]

Step-by-step explanation:

Answer:

1,055.58 in^3

Step-by-step explanation:

The volume of a cone is given by

V = 1/3 pi r^2 h

We need the radius

r = d/2 = 12/2 =6

V = 1/3 (pi) (6)^2 *28

Using the pi button on the calculator

   =1055.575132

Rounding to 2 decimal places

 1,055.58 in^3

Answer:

39 degrees.

Step-by-step explanation:

We want an angle  x  such that   0 < x < 360   and angle x is coterminal with an angle of measure 399 degrees.

so   x =  399 - 360 = 39 degrees

Answer:

I wish i could help but im dumb :(

Step-by-step explanation:

Answer:

Option 2

Step-by-step explanation:

V= Base x Height

If the Height = 15in and the V = 90in^3 then 90 ÷ 15 = 6

Please mark brainliest ;)

Answer: 34

Step-by-step explanation:

(x+22) + x = 90

Given that angles A and B are complementary. Angle A is (x + 22) degrees. Angle B is x degrees. The value of x is 34°.

When the sum of two angles is equal to 90 degrees, they are called complementary angles.

(x + 22) + x = 90

2x + 22 = 90

2x = 68

x = 34

Learn more about complementary angles here

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Answer:

The answer to this question is maximum

Answer:

Maximum

A downward parabola will have the highest point at the very top, so it will have a maximum.

Answer:

Answer choice A

Step-by-step explanation:

For the first letter, there are 26 options, as there are for the second and third letter. For each of the three numbers, there are 10 digits to choose from. Therefore, 26*26*26*10*10*10=17,576,000, or answer choice A. Hope this helps!

Option (A) the number of different ways of license plate arrangements are 17,576,000 is the correct answer.

A permutation is an arrangement of objects in a definite order. It is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

For the given situation,

A state license plate consists of three letters followed by three digits.

There are 26 letters from a to z and 10 digits from 0 to 9.

The license plate consists of three letters and three digits so the possibility of arrangements are

⇒ [tex](26)(26)(26)(10)(10)(10)[/tex]

⇒ [tex]17576000[/tex]

Hence we can conclude that option (A) the number of different ways of license plate arrangements are 17,576,000 is the correct answer.

Learn more about permutations here

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Answer:

Step-by-step explanation:

I am so sorry what grade is this?

Answer:

Solving the expression, it is equal to 48. But it you want and expression equal to 48:

4 x 12 can be the answer.

Step-by-step explanation:

[tex]$4\cdot \left[\left(12\:+\:4\right)\:-\:\left(\frac{12}{3}\right)\right]$[/tex]

[tex]4\left(12+4-4\right)[/tex]

[tex]4 \cdot 12\\48[/tex]

Answer:

In geometry, the pentagonal prism is a prism with a pentagonal base. It has with 7 faces, 15 edges, and 10 vertices

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The volume of the cone with a diameter of 3 cm and height of 4 cm is calculated using the formula V = (1/3)πr²h. After finding the radius to be 1.5 cm, we get the volume to be 9.42 cm³, which rounds to 9 cm³.

First, we calculate the radius of the cone which is half of the diameter. That gives us a radius (r) of 1.5 cm. Plugging the values into the formula, we get:

V = (1/3)π(1.5 cm)²(4 cm)

V = (1/3)π(2.25 cm²)(4 cm)

V = (1/3)π(9 cm³)

V = 3 π cm³

V = 3 π cm³

V = 3 × 3.14 cm³

V = 9.42 cm³, which rounds to 9 cm³ to the nearest whole number.

The correct option is d. 9 cu. cm.

Answer:

A. on EDG

Step-by-step explanation:

took quiz!!!!!

Answer: A

Step-by-step explanation:

edge 2023

Answer:

B-y=2

Step-by-step explanation:

y= 2x-2

X=2

y=2(2)-2

y=4-2

y=2

Answer:

31.5789%

Step-by-step explanation:

Answer:

24%

Step-by-step explanation:

If you use the "is over of" form.

"19 is what percent of 25"

You'd set it up like this:

[tex]\frac{19}{25}[/tex]=[tex]\frac{x}{100}[/tex]

Then cross multiply:

19 times 100 = 1900

25 times x = 25x

Divide 25 into 1900 and get 76.

That is the percent (%) of what 19 is of 25.

BUT we want the space in between the numbers.

To get that, we subtract 100 - 76.

(100 is the whole 100%)

This gives you 24%

Answer:

The base is natural number e = 2.71828...

Step-by-step explanation:

By definition of natural log, the base is e = 2.71828...

The base of the function y = ln(x) is the irrational number e (approximately 2.71828).

The base of the function y = ln(x) is the base of the natural logarithm, which is the irrational number e (approximately 2.71828). The natural logarithm function ln(x) is the inverse function of the exponential function e^x. So, if y = ln(x), then x = e^y.

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The answer is 2 and 1. Hope this help btw

Answer:

25 by 17

Step-by-step explanation:

9x2=18

84=18= 102

102/6 = 17 (width)

17x2-9=25 (length)

Answer:

  -$500

Step-by-step explanation:

The expected value of a payment from the policy is ...

  $500,000 × 0.002 = $1000

Since the business pays $1500 for the policy, the expected value to the business is ...

  $1000 - 1500 = -$500 . . . per year

_____

Of course, the expected value to the insurance company is $500 per year.

_____

We have computed on the basis of 1 claim per year. If we consider the possibility of multiple independent claims, then the expected payment from the insurance goes up by a factor of 1/(1 -0.002) ≈ 1.002004008016.... This has the effect of increasing the expected value by $2.00 per year to -$498.

Answer:

748 is the answer

Step-by-step explanation: toda

Answer:

Percy is incorrect

Step-by-step explanation:

I plugged in 9 and 8 for x and both of them did NOT solve it. The only number I know of that can solve it is -7.       -7^2=49

                                             -7 multiplied by 7 =-49

                                                      (49) + (-49) + 12 = 12

Answer:

Percy was not correct.

Percy did not write the equation in standard form before factoring.

The correct solutions are 0 and –7.

The equation should have first been written as x2 + 7x = 0 before factoring.

The solutions 8 and 9 do not make the equation true.

Step-by-step explanation:

Answer:

(a + 8) (a + 8)

Step-by-step explanation:

a² + 16a + 64

a² + 8a + 8a + 64

a(a + 8) + 8(a + 8)

(a + 8) (a + 8)

Answer:is yes

Step-by-step explanation:

no

Answer:

A= 8.182

B= 8

Step-by-step explanation: