1. Use the diagram to the right to name the following.
a) Four collinear points.
b) A line that contains point M.
c) A line that contains points H and K.
d) Another name for line q.
e) The intersection of lines p and r.

Answer:

137

Step-by-step explanation:

Given the following :

Margin of Error (E) = 7% = 0.07

Confidence level = 90% = 0.9

Prior study (p) = 54% = 0.54

Using the sample size formula:

([Z/E]^2) × p × (1 - p)

(1 - p) = 1 - 0.54 = 0.46

Z score at 90% confidence interval. = 1.645

[(1.645 / 0.07)^2] * 0.54 * 0.46

(23.5^2) * 0.54 * 0.46

552.25 * 0.54 * 0.46

= 137.1789

= 137

Sample size = 137

Answer:

97

Step-by-step explanation:

Given the following conditions :

board measuring 1x100, each square is numbered from 1 to 100

Three colors are used to paint the squares from left to right in the sequence :

one blue, two reds and three green squares in a repeated pattern.

What is the highest numbered square that is painted blue?

The sequence of painting is repeated after :

(1 + 2 + 3) = 6 successive squares

Since the number of squares = 100

Maximum complete repetition possible :

100 / 6 = 16 remainder 4

Hence 16 * 6 = 96 (the highest complete sequence terminates on the square numbered 96)

On the 97th square, another sequence begins which is a blue and the 100th square is painted the first of the 3 green colors.

Hence, the highest numbered square that is painted blue is 97

Patterns are simply the rules that guide the formation of elements in a dataset. The highest numbered square that is painted blue is 97.

The sequence is given as:

[tex]Blue = 1[/tex]

[tex]Red = 2[/tex]

[tex]Green = 3[/tex]

The number of squares is given as:

[tex]n = 100[/tex]

First, we calculate the number of complete iteration of the sequence of squares.

[tex]Total = Blue + Red + Green[/tex]

[tex]Total = 1+2+3 =6[/tex]

So, the complete iteration (k) is:

[tex]k = \frac{n}{Total}[/tex]

[tex]k = \frac{100}{6}[/tex]

[tex]k = 16.67[/tex]

Remove decimal (do not approximate)

[tex]k = 16[/tex]

Next, calculate the position of the last element in the iteration.

[tex]Position = k \times Total[/tex]

[tex]Position = 16 \times 6[/tex]

[tex]Position = 96[/tex]

The blue square is the first on each iteration.

So, the highest numbered blue square is:

[tex]Highest = Position + Blue[/tex]

[tex]Highest = 96 + 1[/tex]

[tex]Highest = 97[/tex]

Hence, the highest numbered square that is painted blue is 97.

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Answer:

9 + (-4i) = 9 - 4i

Answer:

54 cm^2.

Step-by-step explanation:

Area = 1/2 * altitude * base

= 1/2 * 6 * 18

= 54 cm^2.

Answer:

[tex]Area = 72in^2[/tex]

Step-by-step explanation:

Your question is incomplete without an attachment (See attachment)

Required

Determine the area of the shaded part

From the attachment;

Assume that the shaded portion is closed to the right;

Calculate  the Area:

[tex]Area_1 = Length * Width[/tex]

[tex]Area_2 = 8in * (6in + 6in)[/tex]

[tex]Area_2 = 8in * 12in[/tex]

[tex]Area_1 = 96in^2[/tex]

Next;

Calculate the Area of the imaginary triangle (on the right)

[tex]Area_2 = \frac{1}{2} * base * height[/tex]

[tex]Area_2 = \frac{1}{2} * (6in + 6in) * 4in[/tex]

[tex]Area_2 = \frac{1}{2} * 12in * 4in[/tex]

[tex]Area_2 = \frac{1}{2} * 48in^2[/tex]

[tex]Area_2 = 24in^2[/tex]

Lastly, calculate the Area of the Shaded Part

[tex]Area = Area_1 - Area_2[/tex]

[tex]Area = 96in^2 - 24in^2[/tex]

[tex]Area = 72in^2[/tex]

Hence,

The area of the shaded part is 72in²

Answer:

The system has 4 solutions

Step-by-step explanation:

When the two lines meet at a point it means that the point is a solution, in this case the lines meet 4 times.

Answer:

2x + 2 > 10

2x > 10 - 2

2x > 8

x > 8

B. x > 4.

Answer:

B. x>4

Step-by-step explanation:

2x + 2 > 10

In order to solve this inequality, we must isolate the variable, x , on one side of the inequality.

2 is being added to 2x. The inverse of addition is subtraction. Subtract 2 from both sides of the inequality.

2x+ (2-2) > 10-2

2x > 10-2

2x > 8

x is being multiplied by 2. The invers of multiplication is division. Divide both sides of the inequality by 2.

2x/2 > 8/2

x > 8/2

x > 4

The solution to the inequality 2x+2 > 10 is x > 4 and the correct answer is B.

Answer:

A number increased by 9.

Step-by-step explanation:

A number= can be denoted by any letter.

increased= +

by 9= 9

Hope this helps ;) ❤❤❤

Answer:

1

Step-by-step explanation:

Answer: 8

Step-by-step explanation:

integer has no decimal point.

The 2 integer seemingly that is present is 7 and 8.

HOWEVER, 7 is less than 7.2, so it is not the answer

7.2<8<8.8

So it fits in the range

Hope this helps!! :)

Please let me know if you have any question

Answer:

A. Winning an election for class president.

Step-by-step explanation:

It would not be fair because in an election you have to vote and having people vote into what group to be in, would not be randomly assigned and it would not be fair.

Answer:

A

Step-by-step explanation:

Did it already

Answer:

(3x-2y)(3x+2y)

Step-by-step explanation:

Proof:

(3x-2y)(3x+2y)-use FOIL method (First, Outer, Inner, Last)

3x*3x+2y3x-2y3x-2y*2y

9x^2+0-4y^2

9x^2-4y^2

The answer is (3x-2y)(3x+2y).

Answer:

Value in $= 3x -600

Step-by-step explanation:

Let the value of the stock before investment= x

At the first year , the value tripled

Value after first year=3x

The second year , the stock reduces by $600.

So

The value of the stock after the second year

Value in $= 3x -600

Answer:

P(A) ∪ P(B) ⊆ P(A ∪ B) can be proved when [tex]X[/tex] ∈ P ( A U B )

Step-by-step explanation:

To  Prove that P(A) ∪ P(B) ⊆ P(A ∪ B) is attached below and also a counter example to prove that we do not always get an equality is attached below as well

Answer:

width = 18 cm

Step-by-step explanation:

perimeter of rectangle = 2(length + width)

then:

90 = 2(27+w)

90/2 = 27+w

w = width

45 = 27+w

45 - 27 = w

18 = w

Check:

90 = 2(27+18)

90 =2*45                                       =

Answer:

a. around 36.36 hours; around 28.57 hours

b. $134.21; $159.38

Step-by-step explanation:

a. The driving time at 70 miles per hour is  28.57 hours

b The gasoline cost for this trip would be $159.38.

a. At an average speed of 55 miles per hour:

Time = 2000 miles / 55 miles per hour = 36.36 hours

At an average speed of 70 miles per hour:

Time = 2000 miles / 70 miles per hour = 28.57 hours

b. At an average speed of 55 miles per hour:

The car averages 38 miles per gallon on the highway.

Therefore, the gasoline required for a 2000-mile trip would be: 2000 miles / 38 miles per gallon = 52.63 gallons

The gasoline cost for this trip would be: 52.63 gallons * $2.55 per gallon = $134.13.

At an average speed of 70 miles per hour:

The car averages 32 miles per gallon on the highway.

Therefore, the gasoline required for a 2000-mile trip would be: 2000 miles / 32 miles per gallon = 62.50 gallons.

The gasoline cost for this trip would be: 62.50 gallons * $2.55 per gallon

= $159.38.

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Answer:

m and n are variables whereas 4 and 5 are constant terms or coefficient.

Step-by-step explanation:

hope it will help ^_^

Answer:

Below

Step-by-step explanation:

● 4 and 5 are constants since their values don't change.

● m and n are variables since they can take any value.

Answer:

This report is valid

Step-by-step explanation:

We use this z score formula to solve for a question where a random number of samples is given:

z-score is z = (x-μ)/σ/√n

where x is the raw score

μ is the population mean

σ is the population standard deviation

n = number of samples

When σ/√n = Standard error

From the above question,

x = $48,574

μ = $48,432

σ = 2000

n = 400 families

z = $48, 574 -$48,432/(2000/√400)

= $48, 574 -$48,432/(2000/20)

= $48, 574 -$48,432/100

= 1.42

The z score is 1.42

H0 = μ = $48,432

At 0.05, we reject H0 if z < - 1.96 or > 1.96

z = 1.42

Therefore, H0 cannot be rejected.

The central limit theorem also holds because a sufficiently large amount of random samples (400) where taken from the population and replaced and this causes the mean to be randomly distributed.

Therefore, from the above z score, what we can conclude about the validity of the report is that the REPORT IS VALID because H0 cannot be rejected and the central limit theorem holds.

Answer:

C. [tex]5 (\frac{x}{z}) ^1^0[/tex]

Step-by-step explanation:

Hey there!

Given

[tex]\frac{15 x^-^3 z^5}{3 x^7 z ^-^5}[/tex]

Well to solve this we first need to do 15 ÷ 3

= 5

When dividing exponents we actually subtract.

-3 - 7 = -10

5 - -5 = 10

[tex]5 x^-^1^0 z^1^0[/tex]

Hope this helps :)

Answer:

D.   5 (z/x)^10.

Step-by-step explanation:

15/3 = 5

x^-3 / x^7 = x^-10 = 1/x^10

z^5 / z^-5 = z ^10

So the answer is 5 * z^10 * 1/x^10

= 5 z^10 / x^10

= 5 (z/x)^10.

Answer:

  21.9

Step-by-step explanation:

The altitude of an isosceles triangle bisects the base. So, x represents the hypotenuse of a right triangle with legs of 9 and 20. It can be found using the Pythagorean theorem:

  x^2 = 9^2 +20^2 = 81 +400

  x = √481 ≈ 21.932

The length x is about 21.9 units.

Answer:

BC=6

Step-by-step explanation:

The perimeter is the sum of all the side lengths.

Thus, add up all the sides.

And we already know the perimeter is 64. Thus:

[tex](3z)+(10)+(z-1)+(2z+3)+(10)=64[/tex]

Combine like terms and add the numbers:

[tex]6z+22=64[/tex]

Subtract 22 from both sides:

[tex]6z=42[/tex]

Divide by 6:

[tex]z=7[/tex]

So, z is 7.

BC is z-1. Therefore:

[tex]BC=z-1\\BC=7-1=6[/tex]

So, BC is 6.

Answer:

  ∠DAB = 80°

  ∠BAC = 105°

Step-by-step explanation:

You are given ...

  ∠DAC = 25° = (x -20)°

Adding 20°, we have ...

  x° = 45°

Then the measures of the other angles are ...

  ∠DAB = (2x -10)° = 2(45°) -10°

  ∠DAB = 80°

and

  ∠BAC = ∠DAB +∠DAC = 80° +25°

  ∠BAC = 105°

_____

Nothing in this problem statement defines a circle.

Answer:

9/2π

=14.13716694

Step-by-step explanation:

The equation of the volume of the sphere:

V=4/3πr^3

If the diameter is 3cm, the radius is divided by 2, so 1.5cm.

Plug that in, 4/3π1.5^3

Use a calculator:

9/2π

=14.13716694

[tex]14,14~cm^{3}[/tex]

d = 3cm = 2r => r = d/2 = 3cm/2 = 1,5 cm

[tex]V=\frac{4}{3}\pi*r^{3}\\\\=\frac{4}{3}*\frac{22}{7}*3.375cm^{3}\\ \\=\frac{4*22*3.375}{21}cm^{3}\\ \\=\frac{297}{21}cm^{3}\\ \\[/tex]

≈ [tex]14,14~cm^{3}[/tex]

One way to determine this is to take the difference of numbers.

If the difference results in 0 then we can assume numbers that we subtracted are the same, mathematically:

[tex]a-a=0\implies a = a[/tex]

So,

[tex]9324-9234=90\implies 9324\neq9234[/tex].

Hope this helps.

Step-by-step explanation:

9,324 have a different value than 9,234 because 9,324 is greater than 9,234.

9,324-9,234=90

9,324 is 90 more than 9,234.

Answer:

24 inches

Step-by-step explanation:

Because we know that Pablo drew a square, we can correctly assume that all sides have equal lengths. There are four sides to a square, so taking the number 6, 4 times (6*4) gives us 24!

Answer:

See below

Step-by-step explanation:

21. Name 8 different rays.

22. Name 2 pairs of opposite rays.

23. Name 2 lines that intersect at point Z.

24. Draw three noncollinear points A, B, and C. Sketch. AB Then add a point D and  sketch CD so that CD intersects AB at point B.

calculate the percentage increase,work out the difference (increase) between the two numbers you are comparing. Then divide the increase by the original number and multiply the answer by 100.  

520-500 = 20

20÷500 =.04

.04 ×100= 4%

Answer:

[tex]56[/tex]

Step-by-step explanation:

[tex]-7*(-8)[/tex]

The only one thing we have to do on this question is simplify.

[tex](-7)(-8)[/tex]

And this equals

[tex]56[/tex]

Now you got your answer!

Hope this helps!

The solution to the expression -7 times (-8) is 56

From the question, we have the following parameters that can be used in our computation:

-7 times (-8)

Express using product expression

So, we have

-7 times (-8) = -7 * -8

Evaluate all the products in the expression

so, we have the following representation

-7 times (-8) = 56/1

Evaluate all the quotients in the expression

so, we have the following representation

-7 times (-8) = 56

Lastly, we have

-7 times (-8) = 56

Hence, the solution is 56

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Answer:

$4

Step-by-step explanation:

If 1 carton is $4 than 12 cartons would be 48 dollars because 12*4 is 48. So each carton is $4. Please give brainliest Thanks