The two conditional relative frequency tables show the results of a neighborhood survey on the number and types of gardens in the community.

A 4-column table with 3 rows titled garden-type frequencies by column. The first column has no label with entries flower garden, no flower garden, total. The second column is labeled vegetable garden with entries 0.28, 0.72, 1.0. The third column is labeled no vegetable garden with labels 0.22, 0.78, 1.0. The fourth column is labeled total with entries 0.25, 0.75, 1.0.
Table B: Garden-Type Frequencies by Row

A 4-column table with 3 rows titled garden-type frequencies by row. The first column has no label with entries flower garden, no flower garden, total. The second column is labeled vegetable garden with entries 0.56, 0.48, 0.5. The third column is labeled no vegetable garden with labels 0.44, 0.52, 0.5. The fourth column is labeled total with entries 1.0, 1.0, 1.0.
Which table could be used to answer the question "Assuming someone has a flower garden, what is the probability they also have a vegetable garden?"

Table A, because the given condition is that the person has a flower garden.
Table A, because the given condition is that the person has a vegetable garden.
Table B, because the given condition is that the person has a flower garden.
Table B, because the given condition is that the person has a vegetable garden.

Answer:

An alternate interior angle, c, 180 degrees

Step-by-step explanation:

Answer:

Owen has enough to make 3 1/2 of pancake mix.

Step-by-step explanation:

Since the ratio is 1/8 cup of oil per cup of mix and Owen has 1/2 a cup of mix, he has enough to cover the 3 cups of mix since that would be 3/8 cups of oil. He has enough to cover 1/2 a cup as well because that'd be 1/16 cup of oil.

Answer:

Owen has enough to make 3 1/2 of pancake mix.

Step-by-step explanation:

Answer:

The values of x and y are x = 25 and y = 18

Step-by-step explanation:

The measure of an arc is equal to the measure of the central angle subtended by it

In circle W

∵ W is the center of the circle

∵ m∠QWS = 90°

∵ ∠QWS is subtended by arc QS

- Use the rule above

∴ m∠QWS = m arc QS

∴ m arc QS = 90°

∵ m arc QS = m arc QR + m arc RS

∵ m arc QR = (x + 11)°

∵ m arc RS = (3y)°

- Add them and equate the answer by 90

∴ (x + 11) + (3y) = 90

- Subtract 11 from both sides

∴ x + 3y = 79 ⇒ (1)

∵ VT passes through W

∴ VT is a diameter in circle W

- Diameter divides the circle into two equal arcs the measure

   of its arc is 180° because the measure of the circle is 360°

∴ m arc VQRST is 180°

∵ m arc QRS = 90°

∵ m arc VQRST = m arc VQ + m arc QRS + m arc ST

- Substitute the measures of arc VQRST and QRS

∴ 180 = m arc VQ + 90 + m arc ST

- Subtract 90 from both sides

∴ 90 = m arc VQ + m arc ST

∵ m arc VQ = (y + 7)°

∵ m arc ST = 65°

∴ 90 = (y + 7) + 65

- Add like terms in the right hand side

∴ 90 = y + 72

- Subtract 72 from both sides

∴ 18 = y

Substitute the value of y in equation (1) to find x

∵ x + 3(18) = 79

∴ x + 54 = 79

- Subtract 54 from both sides

∴ x = 25

The values of x and y are x = 25 and y = 18

The simple interest will be 18$

Answer:

A

Step-by-step explanation:

The tangent of 4/20 is 0.20271 and u round to the 4th digit

Answer:

V = 9,792 cm

Step-by-step explanation:

hope that i helped!

Answer:

B) 9792

24*12*34

Answer:

60

Step-by-step explanation:

The value of t in this equation is 60. The solution is given below.

A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is  ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.

Given;

(j Superscript negative 12 Baseline) Superscript negative 5 Baseline = j Superscript t

Now,

The equation will be j(20+100)=j(2t)

20+100=2t

120=2t

120/2=t

t=60

Therefore, the answer of the given equation will be 60.

Learn more about quadratic equations;

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Answer:

Use the one line segment as flower stem and use the 8 rays as petals.

Answer: 10.9697% increase

Hope this helped

Answer: a.5

Step-by-step explanation: You cross multiply and get 2x=5x-15. You then simplify this, getting -3x=-15. So the answer is 5.

Answer:

12.8mph

Step-by-step explanation:

Let 'w' represent her walking speed

->if her jogging speed is 8mph faster than her walking speed

Jogging speed=  w+8

Using the time equation i.e time = dist/speed

For walking when distance is 8miles

time = dist / speed= 8/w hrs

For jogging when distance is 13miles

time = dist / speed= 13/(w+8) hrs

Equating the time

jog time = walk time

13/(w+8) = 8/w

By cross multiplying it

13w = 8w + 64

5w = 64

w=64/5

w=12.8mph

Therefore, 12.8mph is her walking speed.

Step-by-step explanation:

Gievn, the diameter of a cake is 12 cm

Radius of the cake = 6 cm

area of one slice = 4π [tex]cm^{2}[/tex]

in terms of π how many full slices can you cut out of the cake = ?

Area of the cake = area of the circle = π[tex]r^{2}[/tex] = π[tex](6)^{2}[/tex] = 36 π

Area of n slices = area of the cake

(4π ) n = 36 π

n = 9

In terms of π 9 full slices can be cut out of the cake.

Answer:

9 full slices can be cut out of the cake.

Step-by-step explanation:

Answer:

22 Child tickets

Step-by-step explanation:

A quick way to solve it is to take 0.25 and multiply it by 88.

Answer:

[tex]7x-8=3x+40\\7x-3x=40+8\\4x=48\\x=12[/tex]

Answer:

Step-by-step explanation:

7x-8=3x+40

7x-3x=40+8

4x=48

x=48/4

x=12

The answer is D

a = 145°, b = 62°  

All of the degrees in a trapezoid should ALWAYS add up to 360°

Option D is the only option that give degrees that, if added to 118° and 35°, give 360°

Answer:

[tex]y+5.2<23[/tex]

Step-by-step explanation:

Add y and 5.2 and use the less than symbol < to show that 23 is greater than the sum of y and 5.2.

If you have trouble remembering the directions of < > and what they mean, my teacher taught me that the alligator wants more food. The "mouth" opens towards the biggest value.

Answer:

I think it's answer is 0. in case of constant polynomials

[tex]a=4.1-4.5=-0.4\\b=7.2-7.05=0.15[/tex]

The values of a and b are,

⇒ a = -0.4 and b = 0.15

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now, Residual value is the difference between the observed value of the dependent variable (y) and the predicted value (ŷ) in a data set.

i.e. Residual value = given value - predicted value

From the table, the residual value corresponding to a has 4.1 as the given value and 4.5 as the predicted value.

Therefore, We get;

a = 4.1 - 4.5

a = -0.4

Similarly, the residual value corresponding to b has 7.2 as the given value and 7.05 as the predicted value.

Therefore, We get;

b = 7.2 - 7.05

b = 0.15

Therefore, a = -0.4 and b = 0.15

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y = -0.6x – 0.8

√34 = 5.8309518948453

Answer:

-3/5

m= y2-y1/x2-x1

m= -2-1/ 2+3

m= -3/5

Answer:

x^2 + y^2 - 6x  - 10y + 30 = 0.

Step-by-step explanation:

In factor form the general equation is:

(x - h)^2 + (y - k)^2 = r^2 where  (h, k) is the centre and r = the radius.

So here we have:

(x - 3)^2 + (y - 5)^2 = 4.

Converting to Standard Form:

= x^2 - 6x + 9 + y^2 - 10y + 25 = 4

x^2 + y^2 - 6x  - 10y + 9 + 25 - 4 = 0

x^2 + y^2 - 6x  - 10y + 30 = 0.

Answer:

64.62 degrees

Step-by-step explanation:

Cosine adjacent/hypotenuse (sides)

CosB = (3/7)

B = [tex]Cos^{-1}[/tex](3/7)

B = 64.62

Answer:

64.62

Step-by-step explanation:

AC²= AB²-BC²

[tex]AC = \sqrt{ {(7)}^{2} - ({3)}^{2} } [/tex]

[tex] = \sqrt{49 - 9} = \sqrt{40} = 2 \sqrt{10} [/tex]

[tex] \tan(B) = \frac{AC }{ BC} [/tex]

[tex] B = { \tan}^{ - 1} \frac{2 \sqrt{10} }{3} [/tex]

[tex] = 64.62[/tex]

The length of 'w' is approximately 73 cm.

To find the length of 'w,' we can use the Pythagorean Theorem since 'w' is the hypotenuse of a right triangle with legs 'x' and 'y.' The Pythagorean Theorem states that the square of the hypotenuse is equal to the sum of the squares of the legs. So, we have:

w^2 = x^2 + y^2

Substituting the given values, we get:

w^2 = 48^2 + 55^2

w^2 = 2304 + 3025

w^2 = 5329

Taking the square root of both sides, we find:

w = √5329

w ≈ 73 cm

Final answer:

After performing the calculations, the hypotenuse w is found to be 73 cm, which corresponds to option D.

Explanation:

To find the length of w, which is the hypotenuse of the right-angled triangle with sides x = 48 cm and y = 55 cm, we use the Pythagorean theorem.

This theorem states that in a right triangle, the square of the length of the hypotenuse (w) is equal to the sum of the squares of the lengths of the other two sides (x and y).

According to the theorem:

w² = x² + y²

Plugging in the given values:

w² = 482 + 552

w² = 2304 + 3025

w² = 5329

To find w, we take the square root of both sides:

w = √5329

w = 73 cm

Therefore, the length of w is 73 cm, which corresponds to option D.

Answer:

$100.647

Step-by-step explanation:

Diameter = 45ft

Radius = diameter / 2 = 45 / 2 = 22.5ft.

1 gallon of paint covers 300ft²

1 gallon cost $18.99

The total area of the mural = πr² (since it's circular and area of a circle = πr²)

Area = πr²

Area = 3.14 * (22.5)²

Area = 1589.625ft²

The total area of the mural = 1589.625ft²

1 gallon of paint covers 300ft²

X gallons of paint will cover 1589.625ft²

Making x the subject by cross multiplying

X = (1 * 1589.625) / 300

X = 5.29875 gallons.

5.3 gallons will be required to paint 1589.625ft²

But 1 gallon costs = $18.99

5.3 gallons will cost $ y

y = (5.3 * 18.99) / 1

y = $100.647

Damari will spend $100.647 to paint the mural.

Answer:

  a_n = 3^(n -1)

Step-by-step explanation:

The n-th term of a geometric sequence with first term a1 and common ratio r is given by ...

  a_n = a1·r^(n-1)

Your sequence has first term 1 and ratio r=3, so the sequence is given by ...

  a_n = 3^(n -1)

_____

Comment on sequences and series

The sequences we commonly study are "arithmetic" and "geometric." Each of these has an explicit formula for the n-th term, based on the first term and the common difference or ratio. Similarly, each series (sum of terms of a sequence) also has a formula. That's 4 formulas to keep track of; not difficult. One of them, the formula for the n-th term of a geometric sequence, is shown above.

The point which is not on the graph is (12, 10)

Using the equation given :

Comparing each point:

y = 1.2(0)

y = 0 (correct)

b.)

y = 1.2(2)

y = 2.4 (correct)

c.)

y = 1.2(4)

y = 4.8 (correct)

d.)

y = 1.2(10)

y = 12 (Incorrect)

The point which is not on the graph is (12, 10)

Answer:

x = 13

Step-by-step explanation:

x - 3 = 10

x = 13 (Add 3 to both sides to balance out the equation)

Answer:

0.0995328 OR 7776 /78125

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