A model of a lighthouse has diameter 8 inches and height 18 inches. If the
actual diameter of the lighthouse is 20 feet, find its actual height.

Answer:

a) 95% of people has an IQ score between 76 and 124​.

b) 0.3% of people has an IQ score less than 64 or greater than 136​.

c) 0.15% of people has an IQ score greater than 136

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 100

Standard deviation = 12

​(a) What percentage of people has an IQ score between 76 and 124​? ​

76 = 100 - 2*12

124 = 100 + 2*12

So within 2 standard deviations of the mean, and the percentage is 95%.

(b) What percentage of people has an IQ score less than 64 or greater than 136​?

64 = 100 - 3*12

136 = 100 + 3*12

99.7% of people has scores between 64 and 136. So 100 - 99.7 = 0.3% of people has an IQ score less than 64 or greater than 136​.

​(c) What percentage of people has an IQ score greater than 136​?

0.3% of people has an IQ score less than 64 or greater than 136​.

Since the normal distribution is symmetric, 0.3%/2 = 0.15% are below 64 are 0.15% are above 136.

Answer:

get math  it will help you

Step-by-step explanation:

Answer:

[tex]A=(17+7\sqrt7)\ m^2[/tex]

Step-by-step explanation:

Given that,

The length of the rectangle, [tex]l=(3+\sqrt7)\ m[/tex]

The width of the rectangle, [tex]b=(1+2\sqrt{7} )\ m[/tex]

We need to find the area of the rectangle. We know that the area of the rectangle is given by :

[tex]A=l\times b[/tex]

Put all the values in the above formula.

[tex]A=(3+\sqrt7)\times (1+2\sqrt7)\\\\=3+3\times 2\sqrt7 +\sqrt7+2(\sqrt7)^2\\\\=3+6\sqrt7+\sqrt7+14\\\\=(17+7\sqrt7)\ m^2[/tex]

So, the area of the rectangle is [tex](17+7\sqrt7)\ m^2[/tex].

Answer:

CHEEEESEEE

Step-by-step explanation:

CHEESEBURGER CHEESECAKE GRILLED CHEESE CHEESESTICKS CHEEESE ENCHILIADAS BROCOLLI CHEESE SOUP CREAMY MAC AND CHEESE POTATO CHEESE BALLS hAM & CHEESE SANDWICH CHEESE EVERYTHING MUAHAHHAHAAHAHAHAAAAAAAAAAAAAAAAAAAAAAAA

Answer:

it is b

Step-by-step explanation:

Answer: D

Step-by-step explanation: They are greater than the lengths of the sides of the base.

Answer:

3x+12

Step-by-step explanation:

3(x+4)

Use the distributive property to multiply 3 by x+4.

3x+12

Answer:

The answer is below.

Step-by-step explanation:

A square is a quadrilateral (has four sides and four angles) in which all the sides are equal. Also all the angle of a square are equal and measure 90°. The diagonals of a square are equal.

In square ABCD:

AB = BC = CD = AC

Given that  P, Q are the midpoints of BC, CD respectively. If AP = a and AQ = b.

a) In triangle ABP:

BC = AB (all sides of a triangle are equal)

BP = 1/2 (BC) = 1/2(AB) = 0.5AB

Using Pythagoras theorem:

AB² + BP² = AP²

substituting:

AB² + (0.5AB)² = a²

AB² + 0.25AB² = a²

1.25AB² = a²

AB² = a² / 1.25

AB² = 0.8a²

AB = √(0.8a²)

AB = a√0.8

b) In triangle ADQ:

AD = CD (all sides of a triangle are equal)

DQ = 1/2 (CD) = 1/2(AD) = 0.5AD

Using Pythagoras theorem:

AD² + DQ² = AQ²

substituting:

AD² + (0.5AD)² = b²

AD² + 0.25AD² = b²

1.25AD² = b²

AD² = b² / 1.25

AD² = 0.8b²

AD = √(0.8b²)

AD = b√0.8

c) In triangle ABD, Using Pythagoras theorem:

AB² + AD² = BD²

Substituting:

0.8a² + 0.8b² = BD²

But AB = AD (all sides of a triangle are equal). Hence AB = AD = 0.8a² = 0.8b²

BD = √(0.8a² + 0.8b²)

BD = √(1.6a²)     0.8a² = 0.8b²

BD = a√1.6

D) AC = AD (diagonal are equal)

AC = √(0.8a² + 0.8b²)

AC = √(1.6b²)     0.8a² = 0.8b²

AC = b√1.6

By knowing all sides of triangle and applying the formula of the law of the cosines we conclude that the missing angle X is approximately 117.9°.

In this question we have a triangle with three known side lengths but all missing angles, we can determine the missing angle by using the law of cosines. If we know that x = 90 ft, y = 55 ft and and z = 50 ft, then the missing angle X is:

90² = 55² + 50² - 2 · 55 · 50 · cos X      (1)

X ≈ 117.916°

To learn more on law of the cosines: https://brainly.com/question/17289163

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Answer:

150

Step-by-step explanation:

Answer:

Gpa is grade point average, it shows how well or high your scores in a subject or course on average . It’s an overall grade. It summarizes your final academic achievement or grade.

Step-by-step explanation:

Answer:

5935 base balls

Step-by-step explanation:

Volume of a cylinder : pi * r² * h

r = Radius, h = height = 6ft

Diameter = 4ft ; Radius = diameter / 2 = 4/2 = 2ft

V = π * 2^2 * 6

V = 75.398223 ft³

Diameter of baseball = 2.8 inches

2.8 inches = 2.8 × 2.8 * 2.8 = 21.952 in³ = 0.0127037 ft³

Hence,

75.398223 ft³ / 0.0127037ft³

= 5935.1370

= 5935 base balls

Answer:

0.2-0.05=0.15

Step-by-step explanation:

0.2=0.20

0.20-0.05=0.15

Hope this help :)

Answer:

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

B.)

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

Step-by-step explanation:

Sample space :

Die roll, then number of coin tosses based on the outcome of the die roll, then number of heada from the toss(es) is recorded along with the outcome of the die roll.

{(1, 0), (1, 1), (2,0), (2,1), (2, 2), (3,0), (3,1), (3,2), (3,3), (4, 0), (4,1), (4,2), (4,3), (4,4), (5,0), (5,1),(5,2), (5,3), (5,4), (5,5), (6,0), (6,1),(6,2), (6,3), (6,4), (6,5), (6,6)}

Event that the total number of head is even:

{(2,2), (3,2), (4,2), (4,4), (5,2), (5,4), (6,2), (6,4), (6,6)}

Answer:

third angle = 93 degrees

Step-by-step explanation:

all triangles have 180 degrees

180 - 68 - 19 = third angle

third angle = 93 degrees

Answer:

93 degrees

Step-by-step explanation:

180 - (68 + 19) = 93

Hope that helps!

12873t456473892220-209873

Answer:

1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5

Step-by-step explanation:

Standard Notation:

122500 + 3655 = 1.26155 x 10 to the power 5

Scientific Notation:

1.225 × 10 to the power 5 + 3.655 × 10³ = 1.26155 x 10 to the power 5

E Notation:

1.225e5 + 3.655e3 = 1.26155e5

Answer: 8

Step-by-step explanation:

64 divided by 8 = 8

Answer:answer is 8 hope this helps :>

Step-by-step explanation:

The slope of the line is 1.

The slope of the line is 1 because the line moves ror goes up from left to right, making it a positive. The line also moves one block over and one block up.

Answer:

1

Step-by-step explanation:

Answer:

Most likely answers are either 6 or 8.

Step-by-step explanation:

The sequence could be of all even numbers, so 2, 4, 6, 8, etc.

Or of all powers of 2, starting at 2, so 2, 4, 8, 16, etc.

Since there are an infinite number of sequences that fit the pattern, you just have to choose the most likely.

Answer:

Answer: 2192.08

Step-by-step explanation:

6/100=0.06

1 - 0.06= 0.94

1 + 0.06= 1.06

2200*094*1.06= 2192.08

The value of the stock at the end of the second day is $2192.08.

The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.

The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 2%=2/100=0.02.

Value of stock = $2200

At the end of the first day →

6% decrement

6$ of 2200 ⇒ 2200 × 6/100 = 132

So,

2200 - 132 = $2068

At the end of the second day →

6% increment

6$ of 2068⇒ 2068× 6/100 = 124.08

So,

2068 +  124.08= $$2192.08

Hence "The value of the stock at the end of the second day is $2192.08".

For more about the percentage,

brainly.com/question/13450942

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Answer:

a) The value of  x = 11°

b) m21 =  63°

 m22= 63°

Step-by-step explanation:

Step(i):-

Given that the lines R and S are parallel

Given that M21  = (74-x)°

                  M22 = (85-2x)°

Equating angles

             (74-x)° = (85-2x)°

             74 - 85 = x -2x

               -11 = -x

                 x = 11°

Step(ii):-

Put x = 11°

⇒  m21 = ( 74 -11) ° = 63°

⇒  m22 = (85-2(11))° = (85-22)° = 63°

Final answer:-

a) The value of  x = 11°

b) m21 =  63°

 m22= 63°

Answer:

a) not proportional

b) proportional; k = [tex]-\frac{3}{5}[/tex]

Step-by-step explanation:

a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).

Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.

Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.

b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.

y = -(3/5)x fits with y = kx, with k being -3/5

Step-by-step explanation:

x = 0 (I don't know what the result of this operation is and I need it to know the x but that's what I can do)

Answer:

75,323,600

10.4%

292

4471

77

$2.54

Step-by-step explanation:

1. Voters in 2020 =

1.292 x 58,300,000 = 75,323,600

2.( number of turkey sandwich / total number of sandwich ) x 100

(51/491) x 100 = 10.4%

3. percent of chemistry majors = (number of chemistry majors / total students that graduated) x 100

0.017 = number of chemistry majors / 17,190

Multiply both sides of the equation by 17,190

17,190  x 0.017 = 292

4.  number of trees in 4 square miles = (4 x 1006) / 0.9 = 4471

5.  Percent from Canada = percentage of people from Canada x total number of people attending the conference

0.089 x 870 = 77

6. Average price =  total cost of items / total quantity sold

[(24 x 3.50) + (61 x0.25) + (18 x 9)] / 103 = 2.54

Answer:

Third 1

Step-by-step explanation:

A function can not have repeating x-values, but CAN have repeating Y-VALUES.

(x,y)

Example : (-4,6) & (-4,2) - There is a repeating x-value, -4.

Answer:

I think B?

Step-by-step explanation:

Answer:

Okawa's favorite food is milk bread! His personal Motto is.....

The answer is D. |-9| > |8|

Answer:

Step-by-step explanation:

Consider that the absolute value is always positive. Then it is easy to compare.

A.

B.

C.

D.