Denzel wants to walk to the store from his house but he is not sure how far away it is. Find the distance between his house

(-8, -9) and the store (-4, -10). Each unit is equal to one mile. Round your answer to the nearest mile.



22 miles


4 miles


31 miles


17 miles

Answer:

The number of batches of paving stones Eric needs is 5 batches

Step-by-step explanation:

Here we have the size of of one paving stone = 1 ft²

The dimensions, size, of one patio = 7 ft × 8 ft = 56 ft²

Therefore, the number of paving stones Eric needs per patio is given by the relation;

[tex]Number\, of\ paving\ stones \ required =\frac{size\, of \, one\, patio}{size \, of \, one\, paving\, stone} = \frac{56 \, ft^2}{1 ft^2/(paving \, stone)} = 56 \, paving \, stones[/tex]

Since the paving stones are sold in batches of one dozen, we have ;

4 batches = 48 paving stones and 5 batches = 60 paving stones

Therefore, the number of batches of paving stones Eric needs = 5 batches.

Answer:

Since [tex]P(A \cap B) \neq P(A)P(B)[/tex], these events are not independent.

Step-by-step explanation:

Independent events:

Two events, A and B are independent, if:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this question, we have that:

[tex]P(A) = 0.4, P(B) = 0.2, P(A \cap B) = 0.1[/tex]

However

[tex]P(A)P(B) = 0.4*0.02 = 0.08[/tex]

Since [tex]P(A \cap B) \neq P(A)P(B)[/tex], these events are not independent.

Answer:

C

Step-by-step explanation:

edg 2020

Answer: If you take out the price of the golf clinic with a local pro, you could buy 6 buckets.

Step-by-step explanation:

Answer:

a) 39 meters

b) t = 1.8 seconds

Step-by-step explanation:

a)

To find the starting height of the riders, we just need to use the value of t = 0 in the equation of h(t):

h(0) = -9.8*0^2 - 5*0 + 39

h(0) = 39 meters

b)

To find when the height will be equal 0, we just need to use the value of h(t) = 0 and then find the value of t:

0 = -9.8*t^2 - 5*t + 39

Delta = b^2 - 4ac = 25 + 4*39*9.8 = 1553.8

sqrt(Delta) = 39.418

t1 = (5 + 39.418)/(-2*9.8) = -2.2662 s (A negative value for the time is not suitable for the problem)

t2 = (5 - 39.418)/(-2*9.8) = 1.756 s

Rounding to nearest tenth, we have t = 1.8 s

Answer:

3847

Step-by-step explanation:

To get your radius

diameter/2= 70/2=35.

Radius=35

Area=πr^2 =3.14x 35x35= 3846.5

approximately=3847

Answer:

x = 2.5y

Step-by-step explanation:

If a cow can give 5 gallons of milk after eating 2 pounds of grass.

Let's consider 'x' is the number of pounds of grass it eats and 'y' is the number of gallons of milk the cow gives.

Hence,

5y = 2x

We will simplify it to get what x equal to y by dividing 2 on both side we find,

x = 2.5y

x is equal to 2.5 y

By eating 1 pound of grass cow can give 2.5 gallons of milk.

Answer:

26xy

Step-by-step explanation:

#THANKMELATER

Amount of food in feeder at end is (16 - a) fl oz

Given that;

Amount of food in feeder in starting = 16 fl oz

Find:

Amount of food in feeder at end

Computation:

Assume;

a fl oz eats by animals

So,

Amount of food in feeder at end = 16 - a

Amount of food in feeder at end = (16 - a) fl oz

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Answer: Mean of the sample proportion = 74.4

Standard deviation of the samnple proportion is 5.32.

Step-by-step explanation:

Given : A random sample of 120 is taken from a population of 10000.

Let n = 120

Also, from previous survey, it is believed that 62% of the population has an Instagram account.

i.e, population proportion : p = 0.62

Now , the mean of the sample proportin would be :

[tex]\text{Mean}=\mu_{\hat{p}}=np\\\\=120\times0.62=74.4[/tex]

i.e. Mean of the sample proportion = 74.4

The standard deviation of the samnple proportion would be :

[tex]\text{standard deviation}=\sigma_{\hat{p}}=\sqrt{np(1-p)}\\\\=\sqrt{120(0.62)(1-0.62)}\\\\=\sqrt{28.272}\\\\=5.31714208951\approx5.32[/tex]

Thus , the standard deviation of the samnple proportion is 5.32.

Answer:

(D)3 units

Step-by-step explanation:

To find the value of a, we use the Theorem of Intersecting Secants.

Applying this to the diagram, we have:

UV X TV = RV X SV

12 X a=(5+4)*4

12a=9*4

12a=36

Divide both sides by 12

a=3 units.

The correct option is D.

By applying the Theorem of Intersecting Secants, the length of TV (a) is equal to: D. 3 units.

The Theorem of Intersecting Secants states that the product of a secant and its external secant is equal to the product of the other secant and its external secant, when two (2) secants are drawn to a circle from an exterior (outside) point:

In order to determine the length of TV (a), we would apply the Theorem of Intersecting Secants as follows:

UV × TV = RV × SV

12 × TV = (5 + 4) × 4

12TV = 9 × 4

12TV = 36

TV = 36/12

TV = 3 units.

Read more on Intersecting Secants here: https://brainly.com/question/1626547

#SPJ2

Answer:

2. The correct option is;

D. 112

3. The predicted number of cellular subscription per 100 people in Australia in 2030 is 217 subscriptions

4. The equation of the quadratic regression curve is y = x² - 6×x + 4.1

5. The closest option is;

C. 4191

Step-by-step explanation:

2. The equation for the number of customers in a store is presented as follows;

y = -8.74·x² + 50.57·x + 39.02

Where:

x = Number of hours after opening

∴ When x = 3 hours

y = -8.74×3² + 50.57×3 + 39.02 = 112.07 ≈ 112 people

The correct option is D. 112

3. The expression of the regression equation is presented as follows

y = -0.107·x² + 9.008·x +28.851

Where:

x = Number of years since 1990, hence

When x = 2030 - 1990 = 40 Years

Hence, the predicted number of cellular subscriptions per  people in 2030 is presented as follows;

y = -0.107×40² + 9.008×40 +28.851 = 217.971 Subscribers

To round down to the nearest whole number as y = 217 subscribers

4. The general form of a quadratic equation is presented as follows;

y = a·x² + b·x + c

When x = 0, y = 4.1, therefore;

4.1 =  a×0² + b×0 + c = c

∴ c = 4.1

When x = 1, y = -0.9, therefore;

-0.9 =  a×(1)² + b×1 + c = c

-0.9 =  a + b + 4.1

∴ a + b = -0.9 - 4.1 = -5.0

When x = 2, y = -3.9, therefore;

-3.9 =  a×(2)² + b×2 + c = c

-3.9 =  4·a + 2·b + 4.1

∴ 4·a + 2·b = -3.9 - 4.1 = -8.0

Thus we have two equations;

a + b = -5.0..................(1) and

4·a + 2·b = -8.0 ..........(2)

Multiply equation (1) by 2 and subtract it from equation (2), we have

4·a + 2·b - 2×(a + b) = *8.0 - (2 ×-5.0)

∴ 2·a = 2

a = 1

From equation (1,)  we have;

a + b = -5.0..................(1)

Therefore, where a = 1 we have, 1 + b = -5.0

Hence, b = -5.0  - 1 = -6.0

Therefore, the equation of the quadratic regression curve is presented as follows;

y = x² - 6×x + 4.1

5. The quadratic regression equation is found as follows;

The general form of a quadratic equation is presented as follows;

y = a·x² + b·x + c

When x = 55, y = 3650, therefore;

3650=  a×55² + b×55+ c................(1)

When x = 65, y = 4569, therefore;

4569=  a×65² + b×65+ c ...........(2)

When x = 75, y = 6147, therefore;

6147=  a×75² + b×75+ c............(3)

Solving the system of equation;

3650=  a×55² + b×55+ c................(1)

4569=  a×65² + b×65+ c ...........(2)

6147=  a×75² + b×75+ c............(3)

Subtracting equation (1) from (2), we obtain;

4569 - 3650 =  a×65² + b×65 + c - (a×55² + b×55 + c)

919 = 1200·a + 10·b...........(4)

Subtracting equation (2) from (3), we obtain;

6147 - 4569 =  a×75² + b×75 + c - (a×65² + b×65+ c)

Which gives;

1578 = 1400·a + 10·b...........(5)

Subtracting equation (4) from equation (3), we obtain;

1578 - 919 = 1400·a + 10·b - (1200·a + 10·b)

659 = 200·a

a = 659/200= 3.295

Substituting the value of a in equation (4), we have;

919 = 1200×3.295 + 10·b = 3954 + 10·b

∴ 10·b = 919 -3954 = -3035

b = -3035/10 = -303.5

Substituting the value of a and b in equation (1), we have;

3650 =  (3.295)×55² + (-303.5)×55+ c

3650 = -6725.125 + c

∴ c = 3650 - (- 6725.125)= 10375.125

Therefore, the quadratic regression equation is presented as follows;

y = 3.295·x - 303.5·b +10375.125

Hence, in 1961, x = 1961 - 1900 = 61, we have

y = 3.295×61² - 303.5×61 10375.125= 4122.32

Therefore, the closest option is C. 4191.

Answer:

Step-by-step explanation: I took the test and here are the answers

Answer:

2 1/3 ft^2

Step-by-step explanation:

Take the area of the rectangle

A = l *w

   4 * 1 1/6

   4 * 7/6

  28/6

Divide this in half since the rectangle is cut in half by using the diagonal

28/6 *1/2

28/12

7/3

Changing to a mixed number

2 1/3

Answer:

a) 22, b) i. 5/11, ii. 5/11, iii. 7/11

Step-by-step explanation:

a) 3+6+3+5+4+1 = 22 total number  of students

b)

i. Number of girl/total number of students= 10/22 = 5/11

ii. blond hair/total number of students = 10/22 = 5/11

iii.

Number of girl/total number of students= 10/22 = 5/11

red hair/total number of students = 4/22 = 2/11

P(a girl or red hair) = 5/11 + 2/11 = 7/11

S=-15

Hope I helped :D

Answer:

x = 6

Step-by-step explanation:

An inverse variation is

xy = k where k is the constant of variation

8*9 = k

72 = k

xy = k

Let y = 12

x*12 = 72

Divide each side by 12

12x/12 =72/12

x = 6

Answer:

Step-by-step explanation:Idon't say you have to mark my ans as brainliest but my friend if it has helped you don't forget to thank me...

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

We substitute our values into the expression above.

V = π × r² × h

V = 3.14 × (6.5ft)² × 11ft

V = 3.14 × 42.25ft² × 11ft

V = 1459ft³

The volume of the cylindrical water tank with the given value of radius and height to the nearest whole number is 1459ft³.

Learn more on volume of cylinder here: brainly.com/question/16788902

Answer: 7/24

Step-by-step explanation: Think of the 2 as 2/1.

When dividing by a fraction, we can simply change, we can simply change the multiplication sig to division and take the reciprocal of the second fraction or flip the second fraction.

So our problem can be rewritten as [tex](\frac{7}{12})[/tex] [tex]x[/tex] [tex](\frac{1}{2})[/tex].

Now multiplying across the top and bottom we get 7/24.

Answer:

7/24

Step-by-step explanation:

the guy was right! (also khan said so)

Answer:

D

Step-by-step explanation:

[tex]2x^2+2x+12=3x^2-x+2\\2x+12=x^2-x+2\\x^2-3x-10=0\\(x-5)(x+2)=0\\x=5, -2[/tex]

The correct answer is choice D. Hope this helps!

Answer:

{-5, 2}

Step-by-step explanation:

  [tex]2x^{2} + 2x + 12 = 3x^{2} -x + 2[/tex]    move everything to the right side

[tex]-2x^{2} -2x-12=-2x^{2} -2x-12[/tex]  add line 1 and 2 to get the below equation

                      [tex]0 = x^{2} -3x -10[/tex]   find multiples of -10 that add to give you -3

                                                    to get -10 we have to have (+)(-)

                                                           {-5, 2}

Song= sngo, sogn, gnso, gosn, gnos, snog, 6 ways ?

===========================================================

Explanation:

We have four blank slots to fill. Call them slot A,B,C,D. There are 4 letters to pick from when filling slot A. After that selection is made, there are 3 letters left for slot B. This process keeps going til you count down to 1.

Multiplying those values out gives 4*3*2*1 = 24

-----------

Extra info:

This concept is given factorial notation of an exclamation mark, so you'd write 4! = 4*3*2*1 = 24 or simply 4! = 24.

Another example of factorial notation is 7! = 7*6*5*4*3*2*1. We start with 7 and count our way down til we get to 1, multiplying all along the way.

You could also use the nPr permutation formula [tex]_nP_r = \frac{n!}{(n-r)!}[/tex] though that isn't necessary in my opinion since it involves factorials which we already used above. If you use the permutation formula, then you would have n = 4 and r = 4. The n refers to the number of items you are arranging and r = 4 is the number of slots you are filling.

It turns out that [tex]_nP_r = \frac{n!}{(n-r)!} = n![/tex] when r = n.

You can think of it in a smaller chunk. If we fix S to be the first letter, then we have O,N,G to rearrange. There are 6 ways to do this as shown

Basically showing that 3! = 6. We have 4 different ways to have the first letter be selected, so we have 4*6 = 24 permutations of SONG.

Answer: Of the 800 customers, 520 would be satisfied with the cleanliness of the store

Step-by-step explanation:

Here is the complete question:

A grocery store polls every twentieth customer to determine if they are satisfied with the cleanliness of the store. Forty customers are surveyed and 26 are satisfied. What conclusion can be drawn for the 800 daily customers?

A. 65% of the customers are unsatisfied with the cleanliness of the store.

B. Of the 800 customers, 520 would be satisfied with the cleanliness of the store

C. 40% of the customers are satisfied with the cleanliness of the store

We are informed that out of 40 customers that are surveyed, 26 are satisfied with the cleanliness of the store. This means that (26/40) = 13/20 = 65% are satisfied with the store.

If 800 customers are surveyed, this will mean that: 65% of 800.

= 65/100 × 800

= 65 × 8

= 520 will be satisfied.

Answer:

see below

Step-by-step explanation:

Experimental means what actually happened

P(odd) = (number of 1 + number of 3 + number of 5) / total

           = (10+8+8) / 50

           = 26/50

           = 13/25 = 52%

Theoretical means  what we expect to happen

P (odd) = (number of 1 + number of 3 + number of 5) / total

             =(1+1+1)/6

             =1/2 = 50%

We rolled an odd just a little more than the expected amount of times

Answer:

yes

Step-by-step explanation:

Step-by-step explanation:

This question is incomplete because it lacks the diagram of the line plot. Find attached to the answer, the diagram of the scatter plot.

Answer:

35/8 inches or 4 3/8 inches.

Step-by-step explanation:

Reading the line plot, the number of objects is plotted vertically while the length of the object is arranged horizontally on the line plot.

The total length is calculated as: summation of the (Number of objects × Length of the objects)

= [(1/8 ×0) + (1/4×0) + (3/8 × 2) + (1/2 ×3) + (5/8 × 1) + (3/4 × 2) +(7/8 × 0)] inches

=[ 0 + 0 + 3/4 + 3/2 + 5/8 + 3/2 + 0] inches

= 35/8 inches or 4 3/8 inches.

Therefore, the total length of the objects if they are connect end to end is 35/8 inches or 4 3/8 inches.

Answer:

3√7

Step-by-step explanation:

√63

√3x21

√3x3x7

3√7

Answer:

3x^2 +8x +3

Step-by-step explanation:

(6x^2 + 8x - 3) - (3x^2 - 6)

Distribute the minus sign

(6x^2 + 8x - 3) - 3x^2 + 6

Combine like terms

3x^2 +8x +3

Answer:

undefined

Step-by-step explanation:

We can find the slope of a line using two points by

m = (y2-y1)/(x2-x1)

   = (-9- -4)/(-4 -  -4)

    = (-9+4)/(-4+4)

   = -5/0

When we divide by zero, our solutions is undefined

The slope is undefined

Answer:

Sin A = 4/5

Step-by-step explanation:

sin theta = opposite / hypotenuse

sin A = 40/50

Sin A = 4/5

Answer:

0.8

Step-by-step explanation:

SinA = opposite/hypotenuse

= CB/CA

= 40/50

= 4/5

= 0.8

Answer:

About 2.569 seconds

Step-by-step explanation:

To solve this problem, you can separate it into two half parabolas. The beginning part is initial upward rising. To calculate the amount of time that this part of the dive takes, you can use the formula [tex]v_f=v_o+at[/tex], where [tex]v_f[/tex] is the final velocity, [tex]v_o[/tex] is the initial velocity, a is the acceleration due to gravity, and t is the amount of time it takes. You know that the final velocity is 0, since the diver is reaching the terminal of their dive. Therefore, you can set up the following equation (assuming that the acceleration due to gravity is 32ft/s^2):

[tex]0=5+(-32)t[/tex]

[tex]t=5/32[/tex] seconds

To find the height that this indicates the diver has risen, you can plug this time into the following formula: [tex]d=v_o t+\frac{1}{2}at^2[/tex]

[tex]d=5(5/32)+\frac{1}{2}\cdot 32\cdot (5/32)^2\approx 1.172[/tex] feet

For the second part, you can use the equation [tex]d=v_o t+\frac{1}{2}at^2[/tex] again. Since the initial velocity for this part is 0, you can set up the following equation:

[tex]92+1.172=\frac{1}{2}\cdot 32 \cdot t^2[/tex]

[tex]t \approx 2.413[/tex]

Adding this to the time that the first part of the dive takes, you get a total of about 2.569 seconds. Hope this helps!

Answer:

151

Step-by-step explanation:

tan 40° = x/180

tan 40°*180 = x

0.8391*180 = 151

height = 151m