what is the equation of this line

The probability that Kira wrote a letter i incorrectly in cursive in the word divisibility is 5/12.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that Kira wrote a letter i incorrectly = number of i / total number of letters

5/12

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Answer:

The area of the sector is 3pi/2

Step-by-step explanation:

A sector is that part of a circle bounded by 2 radii and an arc

The circle has an area of 9 pi with a central angle of 60 degrees.

Now the area of the sector is pretty much straight forward to calculate. Since it is a circle, the total angle we have is 360.

Now the sector subtends an angle of 60 degrees at the centre. What this means is that the sector is exactly 1/6 of the circle. meaning that cutting the circle into 6 slices will give the sector.

Thus, the area of the sector is one-sixth the area of the circle.

The area of the sector is thus 1/6 * 9pi = 9pi/6 = 3pi/2 or 3/2 pi

Gwen can buy 5 bottles of cola with her £7 and will have £0.75 left over.

Gwen has in total £7 (£5 note + £2 coin). A litre of cola costs £1.25. To find out how many bottles of cola Gwen can buy, we need to divide the total amount Gwen has by the cost of one bottle of cola.

Therefore, Gwen will have £0.75 left over after buying as many bottles of cola as she can.

Answer: Mary had six pieces of candy but her mother didn’t want her having too much sugar. She took away half of her candy. How many pieces does she have now?

Step-by-step explanation:

Answer:

I had 6 dollars. you stole half. How much do I have left

Step-by-step explanation:

6 x 1/2 = 3

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Answer:

24.065 miles

Step-by-step explanation:

Antonio visited three cities on the coordinate grid at A(4, 5), B(-1, 3) and C(-3, -4), he visited the cities and ended up where he started. That means he moved from point A to B to C and back to A.

The distance (d) between two points (x₁, y₁) and (x₂, y₂) can be given as:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Therefore distance between AB = [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(-1-4)^2+(3-5)^2}=\sqrt{25+4}=5.385[/tex]

distance between BC = [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(-3-(-1))^2+(-4-3)^2}=\sqrt{4+49}=7.28[/tex]

distance between CA = [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}=\sqrt{(4-(-3))^2+(5-(-4))^2}=\sqrt{49+81}=11.4[/tex]

The total distance = AB + BC + AC = 5.385 + 7.28 + 11.4 = 24.065 miles

Answer:

1936 π square units

Step-by-step explanation:

Given the information:

The circumference of a great circle of a sphere is 44π.

As we know the formula used to find a circle's circumference is:

C = 2πr , where r is the radius of the circle

In this situation, we know C = 44π

<=> 2πr  = 44π

<=> r = 22 units

Hence, the Surface Area of the sphere

S.A = 4π[tex]r^{2}[/tex]

= 4π[tex]22^{2}[/tex]

= 1936 π square units

The surface area of the solid rectangular prism is 408 square meters.

To find the surface area of a solid rectangular prism, you can use the formula:

Surface Area = 2lw + 2lh + 2wh

Where:

l = length

w = width

h = height

In your case, the dimensions of the prism are:

Length (l) = 9 meters

Width (w) = 10 meters

Height (h) = 6 meters

Now, plug these values into the formula:

Surface Area = 2(9m)(10m) + 2(9m)(6m) + 2(10m)(6m)

Surface Area = 180m^2 + 108m^2 + 120m^2

Now, add these areas together:

Surface Area = 180m^2 + 108m^2 + 120m^2 = 408m^2

So, the surface area of the solid rectangular prism is 408 square meters.

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Answer: x² + 4x - 32

Step-by-step explanation: So to multiply these two binomials together, let's use the F.O.I.L. method.

Remember, F.O.I.L. stands for First, Outter, Inner, Last.

This is because we start with the product of the first terms which is x², then we add the product of the outer terms which is 8x, then we add the middle terms which is -4x, and then we add the product of the last terms which is -32.

So we have x² + 8x + -4x + -32.

Combining the like terms 8x + -4x, our final answer is x² + 4x - 32.

Answer:

57/200

Step-by-step explanation:

285/1000 The fraction is not reduced to lowest terms. We can reduce this fraction to lowest

terms by dividing both the numerator and denominator by 5.

Why divide by 5? 5 is the Greatest Common Divisor (GCD)

or Greatest Common Factor (GCF) of the numbers 285 and 1000.

So, this fraction reduced to lowest terms is

57/200

So your final answer is: 0.285 can be written as the fraction 57/200

−0.258 written as a fraction in its simplest form is [tex]-\frac{129}{500}[/tex]

To write a given decimal as a fraction in its simplest form,

We will first express the decimal as a fraction and then reduce it to its lowest form.

The given decimal is −0.258

−0.258 written in fraction is [tex]-\frac{258}{1000}[/tex]

Now, we will reduce [tex]-\frac{258}{1000}[/tex] to its lowest form

First, we will divide both the numerator and denominator by 2 (Since 2 is a common factor)

We get

[tex]-\frac{258}{1000} = -\frac{258 \div 2}{1000 \div 2} = -\frac{129}{500}[/tex]

Since the fraction cannot be reduced further, then −0.258 as a fraction in its simplest form is [tex]-\frac{129}{500}[/tex]

Hence, −0.258 written as a fraction in its simplest form is [tex]-\frac{129}{500}[/tex]

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Step-by-step explanation:

4t < 13

t < 13/4

I think this should be the answer

Answer: T<13/4

Step-by-step explanation: See below

Answer:

%27

Step-by-step explanation:

Answer:

27%

Step-by-step explanation:

Answer:

110

Step-by-step explanation:

Answer:

4^7

Step-by-step explanation:

4 * 4 * 4 * 4 = 256

4 * 4 * 4 = 64

Since the number is the same, another way to write the expression is 4^7.

256 * 64 = 16,384

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Answer:

i think 40

Step-by-step explanation:

Answer:

C. 12.6

Step-by-step explanation:

That is the answer when correctly put into a calculator.

it will be A. y=2x-1

hope this helps

Answer:

Step-by-step explanation:

Answer:

I think its 35

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

The least common factor of 5 and 7 is 35. We multiply it by two because it is not even.

Answer:

x= -12/5 y+2

y=3/2y+-35/2x=

Step-by-step explanation:

Answer:

50.2 u²

Step-by-step explanation:

SA = 4 pi r²

SA = 4 × 22/7 × 2 × 2

SA = 50.2 u²

Answer:

0.2 is bigger than 0.125.

Answer:

They will have to pay $5,692,500 in 90 days.

Deben pagar $5,692,500 pagar al final de un período de 90 días.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time, in years..

After t years, the total amount of money is:

[tex]T = E + P[/tex].

In this question:

[tex]P = 5500000, I = 0.14[/tex]

3 months is 3/12 = 1/4 = 0.25 of an year. So [tex]t = 0.25[/tex]

Then the interest accrued is:

[tex]E = P*I*t = 5500000*0.14*0.25 = 192500[/tex]

What they will have to pay:

[tex]T = 192500 + 5500000 = 5692500[/tex]

They will have to pay $5,692,500 in 90 days.

Deben pagar $5,692,500 pagar al final de un período de 90 días.

Answer:

The remaining three angles would be 70°, 110°, and 110°.

Step-by-step explanation:

A parallelogram has a measurement of 360° with two pairs of congruent opposite angles/sides.

Answer:

A

Step-by-step explanation:

Given that y varies inversely with x then the equation relating them is

y = [tex]\frac{k}{x}[/tex]

To find k use the condition y = 48 when x = [tex]\frac{1}{3}[/tex], thus

k = yx = 48 × [tex]\frac{1}{3}[/tex] = 16

y = [tex]\frac{16}{x}[/tex] ← equation of variation

Step-by-step explanation:

hope this is right I got this answer on one my fav website tiger

Answer:

[tex] - 3[/tex]

Step-by-step explanation:

[tex]2 {x}^{2} + 2 + ( {x}^{2} - 4) - (3 {x}^{2} + 1) \\ 2 {x}^{2} + 2 + {x}^{2} - 4 - 3 {x}^{2} - 1 \\ 2 {x}^{2} + {x}^{2} - 3 {x}^{2} + 2 - 4 - 1 \\ = - 3[/tex]

Answer:

You should get 42

Step-by-step explanation:

In the picture I sent you, to find quartile 1 and 3 and the median use the order you have and slash out from the left and the right, if you don't get 2 numbers that you have to add and divide by 2 for the median you have to make lines outside of the middle number and slash on each side to get quartile 1 and quartile 3. Quartile 2 is the median.

The third quartile of the data set is, 42.

The numbers arrange in order to least to greatest number is called Ascending order.

Now, For the third quartile of the data set, we first need to find the median, which is the second quartile.

Hence, We can ordering the data set in ascending order:

20, 21, 24, 25, 28, 29, 35, 37, 42, 43, 44

Here, The median is the middle number or the average of the two middle numbers if the data set has an even number of values.

In this case, we have 11 values, so the median is the 6th value, which is 29.

And, we need to find the third quartile, which is the median of the upper half of the data set. The upper half of the data set includes the values:

35, 37, 42, 43, 44

The median of these values is the third quartile.

Hence, take the middle value or the average of the two middle values if there is an even number of values in the upper half.

In this case, there are 5 values in the upper half,

Hence, the median is the 3rd value,

⇒ 42.

Therefore, the third quartile of the data set is, 42.

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Answer:

His wife gets $336 more than his son.

Step-by-step explanation:

Colin and Brian:

Ratio of 4:1.

So Colin gets [tex]\frac{4}{4+1} = \frac{4}{5}[/tex] of the prize.

[tex]\frac{4*2100}{5} = 1680[/tex]

Colin got $1680. Dividing between himself, his wife and their son:

Ratio of 2:5:3.

So Colin gets [tex]\frac{2}{2+3+5} = \frac{2}{10}[/tex], his wife gets [tex]\frac{5}{2+3+5} = \frac{5}{10}[/tex] and his son gets [tex]\frac{3}{2+3+5} = \frac{3}{10}[/tex]

Wife:

[tex]\frac{5*1680}{10} = 840[/tex]

His wife got $840.

Son:

[tex]\frac{3*1680}{10} = 504[/tex]

His son got $504.

How much more does his wife get over their son?

840 - 504 = 336

His wife gets $336 more than his son.

Answer:

C. x = 4√7

Step-by-step explanation:

This is a right triangle

The hypotenuse is 3+8  (the radius is 3 and the exterior length is 8)

We can use the Pythagorean theorem

a^2 +b^2 = c^2

3^2 + x^2 = 11^2

9+x^2 = 121

Subtract 9 from each side

9-9 + x^2 = 121-9

x^2 = 112

Take the square root of each side

sqrt(x^2) = sqrt(112)

x = sqrt(16*7)

x = 4 sqrt(7)

To find the surface area of a square pyramid, you need to calculate the lateral area and the area of the base. The lateral area can be found using the formula (1/2) × perimeter of the base × slant height. The base area is equal to the side length squared. To find the total surface area, you add the lateral area and the base area.

To find the surface area of a square pyramid, we need to calculate the lateral area and the area of the base.

Lateral Area

The lateral area of a square pyramid can be found using the formula:

Lateral Area = (1/2) × perimeter of the base × slant height

In this case, the slant height is given as 13mm and the base length is given as 11mm, so we have:

Lateral Area = (1/2) × 4 × 11mm × 13mm = 286mm2

Base Area

The base of the square pyramid is a square with side length 11mm. Therefore, the area of the base is:

Base Area = side length × side length = 11mm × 11mm = 121mm2

Total Surface Area

To find the total surface area, we add the lateral area and the base area:

Total Surface Area = Lateral Area + Base Area = 286mm2 + 121mm2 = 407mm2

Therefore, the surface area of the square pyramid is 407mm2.

Answer:

x=3

Step-by-step explanation:

-8x - 1= -25

Add 1 to each side

-8x-1+1 = -25+1

-8x = -24

Divide each side by -8

-8x/-8 = -24/-8

x = 3

Answer:

X=3

Step-by-step explanation:

-8x-1=-25

-8x =-24

-24/-8=3