Given the following data set, what is the shape of the data? 60, 68, 70, 72, 80, 84, 85, 90, 90, 92, 92, 94, 94, 94, 96, 96, 98, 100 Select one: O constant O skewed left O skewed right O symmetric

When the domain is substituted, the Range of the function will be

7 ≤ y < ∞

The range of a function is the the spread of minimum value of the function to maximum value. We can find the range by substituting different domains into the function.

Given a function  f(x) = |x| + 7

This |x| show that it is a modulus. That is, the domain will always be positive numerals.

The minimum domain = 0, so the minimum f(x) = 0 + 7 = 7

The maximum domain = ∞, so the maximum f(x) = ∞ + 7 = ∞

y = f(x)

Therefore, the range of of the function f(x) = |x| + 7 will be 7 ≤ y < ∞

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Answer:

y = 3x - 5

Step-by-step explanation:

It passed through both points because of the y intercept and also the x intercept or contant matches up with the points

The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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Complete Question:

Lucas is planting grass on the shaded portions of the yard. What will be the total area of covered by grass? Fill in the missing.

Part A= 12 x ? = ? ft²

Part B= 0.5 x ? x 9 = ?ft²

Part C= 0.5 x 7 x ? = ?ft²

Total Area= ?ft²

Answer:

\(A = 108ft^2\)

\(B = 27ft^2\)

\(C = 24.5ft^2\)

\(Area = 159.50ft^2\)

Step-by-step explanation:

Given

See attachment

From the attachment;

Part A is a rectangle with dimension 9ft by 12ft

So,

\(A = 12ft * 9ft\)

\(A = 108ft^2\)

Part B is a triangle with dimension: height = 6 and base = 9

The height is calculated as:

\(Height = 12ft - 6ft = 6ft\)

And the base is:

\(Base = 18ft - 9ft = 9ft\)

So, the area is:

\(B = 0.5 * 6ft * 9ft\)

\(B = 27ft^2\)

Part C is a triangle with dimension: height = 7 and base = 7

So, the area is:

\(C = 0.5 * 7 * 7ft^2\)

\(C = 24.5ft^2\)

Total Area is:

\(Area = A + B + C\)

\(Area = 108ft^2 + 27ft^2 + 24.5ft^2\)

\(Area = 159.50ft^2\)

Answer:

The calculated value t = 2.038< 2.145 at 0.05 level of significance

Null hypothesis is accepted

There is the average rate is less than  μ ≤ 4

Step-by-step explanation:

Step(i):-

The Population of the mean 'μ' =4

sample size   'n' = 16

sample mean 'x⁻' = 4.53

given sample standard deviation 's' = 1.04

level of significance  α = 0.05

Step(ii):-

Null hypothesis:H₀ : There is no significance difference between two means

Alternative hypothesis : H₁: There is significance difference between two means

Test statistic

                    \(t = \frac{x^{-} - mean}{\frac{S}{\sqrt{n} } }\)

                   \(t = \frac{4.53-4}{\frac{1.04}{\sqrt{16} } }\)

                t = 2.038

Degrees of freedom ν = n-1 = 16-1 =15

t₀.₀₂₅ = 2.145

Conclusion:-

The calculated value t = 2.038< 2.145 at 0.05 level of significance

Null hypothesis is accepted

There is the average rate is less than  μ ≤ 4

The fact that and allows you to conclude that the system is consistent because if two vectors are equal, then their components must be equal.

Since and , we can set up the following linear system of equations:

Ax = b

where A is the matrix and x and b are the vectors. Since we know that and , then the system of equations is consistent. This is because if two vectors are equal, then their components must be equal. Therefore, if and , then

a1x1 + a2x2 = b1

a3x1 + a4x2 = b2

Since the two vectors are equal, then the components must be equal as well, so

a1x1 + a2x2 = a3x1 + a4x2

which can be rearranged to

(a1 - a3)x1 + (a2 - a4)x2 = b1 - b2

Since b1 - b2 is a constant, then the coefficient of x1 and x2 must both be 0, meaning that the system is consistent.

The fact that and allows you to conclude that the system is consistent because if two vectors are equal, then their components must be equal. This means that if and , then we can rearrange the system of equations to get (a1 - a3)x1 + (a2 - a4)x2 = b1 - b2, which implies that the coefficients of x1 and x2 must both be 0, meaning that the system is consistent.

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Answer:

X and A half marks Nathan and na ha na na he and na na he Meena new q me new me know if you

Step-by-step explanation:

erert4 Ka a manual Mrs Ann messed hall hall USS jam

Answer: 3

Step-by-step explanation:

Answer: plot one at -1 and the other at 5

Step-by-step explanation:

The Vertical intercept (0, 1/2)

Answer:

Rule 1. Adding/subtracting the same number on both sides.

   Example: The inequality x-2>5 has the same answer as the inequality x > 7.

Rule 2. Switching sides and changing the orientation of the inequality sign.

   Example: The inequality 5-x> 4 has the same solutions as the inequality 4 < 5 - x.

Done ✔

Answer:

(0, 7/3), (1, 2/3), (2, -1).

Step-by-step explanation:

Input 3 x coordinates into the equation and find the y. 0, 1, and 2 will do.

-5x - 3y = -7

Substitute variable.

-5(0) - 3y = -7

Remove the term multiplied by 0.

-3y = -7

Divide by -3.

y = -7/-3

-a/-b = a/b.

y = 7/3

This makes the coordinate (0, 7/3)

-5x - 3y = -7

Substitute variable.

-5(1) - 3y = -7

Multiply.

-5 - 3y = -7

Add 5 to both sides.

-3y = -2

Divide by -3.

y = -2/-3

-a/-b = a/b.

y = 2/3.

This makes the coordinate (1, 2/3)

-5x - 3y = -7

Substitute variable.

-5(2) - 3y = -7

Multiply.

-10 - 3y = -7

Add 10 to both sides.

-3y = 3

Divide by -3.

y = 3/-3

-a/a = -1.

y = -1.

This makes the coordinate (2, -1).

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

Answer:

Step-by-step explanation:

We know that:

To balance the hanger, we must find the value of z such that if z is multiplied by 4, it will equal 11.

Work:

Hence, the value of z to balance the hanger is 2.75.

Answer:

2.3 hours

Step-by-step explanation:

From 3:12 pm to 4:12 pm, one hour passes.

From 4:12 pm to 5:12 pm, another hour passes.

From 5:12 pm to 5:30 pm, there are 18 minutes that pass.

Therefore, the total time elapsed is 2 hours and 18 minutes out of 60 minutes in an hour.

To convert this to a fraction, we can write:

2 hours + 18 minutes = 2 + 18/60 hours = 2.3 hours

So, 2.3/1 hour passes from 3:12 pm to 5:30 pm.

The best predicted weight of a person that is 156 cm is 285.4kg

y= 106+1.15

When the adult male is 156 cm tall the weight of this person would be calculated as:

y= 106+1.15*156

y = 106 + 179.4

y = 285.4

Hence we can arrive at the conclusion that the best predicted weight of a person that is 156 cm is 285.4kg

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Answer: x = 3

Step-by-step explanation: -7 + 9 = 8 - 6

The function type is an exponential growth function

The function y = 100(1.05)ˣ represents exponential growth, because the base (1.05) is greater than 1.

This means that as x (the number of years since the hotel opened) increases, the value of the function y (the cost per night at the hotel) increases exponentially.

See attachment

From the attached graph, we have the key features of the graph of the function to be

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Answer:

The goalkeeper has 0.306 seconds to react, dive, and reach the ball before it crosses the goal line.

Step-by-step explanation:

We use the following relation to solve this question:

\(v = \frac{d}{t}\)

In which v is the velocity, d is the distance, and t is the time.

Chastain will kick the ball from 18 yards away from the goal at 120 miles per hour.

Since the velocity is in miles per hour, the distance has to be in yards.

Each yard has 0.000568182 miles, so the ball will be kicked from 18*0.000568182 = 0.0102 miles.

This means that \(v = 120, d = 0.0102\)

How many seconds does the goalkeeper have to react, dive, and reach the ball before it crosses the goal line?

We have to find t, first in hours. So

\(v = \frac{d}{t}\)

\(120 = \frac{0.0102}{t}\)

\(120t = 0.0102\)

\(t = \frac{0.0102}{120}\)

\(t = 0.000085\)

An hour has 3600 seconds. So

3600*0.000085 = 0.306.

The goalkeeper has 0.306 seconds to react, dive, and reach the ball before it crosses the goal line.

Answer:1,203

Step-by-step explanation:

Answer:

11a^2 - 6b^2+1

Step-by-step explanation:

Distribute

11(8a^2-6b^2+1

88a^2– 66b^2+ 11

Solution

88a^2– 66b^2+ 11

HOPE THIS HELPS!

Answer:

a yes udjwjwjwjwjwjwjwjwjw

yes men es chef

Answer:

\(60x + 86\)

Step-by-step explanation:

Answer:

Step-by-step explanation:

148 people

Step-by-step explanation:

f(n) = (-5). f(n-1) +15

f(1) = 3

for n = 2

f(2) = (-5).(3)+15 = -15+15 = 0

for n = 3

f(3) = (-5).0 +15 = 0+15 = 15

for n = 4

f(4) = (-5).(15) + 15 = -75 +15 = -60

so, the sequences are :

3, 0, 15, -60

\(\\ \sf\longmapsto f(n)=(-5)f(n-1)+15\)

Here

\(\\ \sf\longmapsto D_f=(0,\infty)\)

\(\\ \sf\longmapsto f(1)=3\)

\(\\ \sf\longmapsto f(2)=(-5)f(1)+15=(-5)(3)+15=-15+15=0\)

\(\\ \sf\longmapsto f(3)=(-5)(0)+15=0+15=15\)

\(\\ \sf\longmapsto f(4)=(-5)(15)+15=-75+15=-60\)

Answer:

0.07

Step-by-step explanation:

7/100

Answer:

it would be .07 i believe

Answer:

It is a 9/10 chance of having at least one boy. The probability is also high enough for the couple to be very confident in having at least one boy in 9 children.

Step-by-step explanation:

I listed all of the possible combinations below

GGGGGGGGG           BGGGGGGGG

BBGGGGGGG           BBBGGGGGG

BBBBGGGGG           BBBBBGGGG

BBBBBBGGG            BBBBBBBGG

BBBBBBBBG             BBBBBBBBB

Total number of combinations with at least one boy is 9/10

This is a very high percentage, which means the couple is very likely to have at least one boy.

Answer:

answer 1 = true

answer 2 . Area of shaded part is 87m^2

explanation in the pic above

Answer:

Q1: True

Q2: 87 m squared

Step-by-step explanation:

Q1 is true because if two things are parallel may they be lines or planes, they can never intersect since the will always be parallel. As for Q2, you have to find the area of the smaller rectangle and the larger one. You then subtract the area of the smaller one from the larger one to find it's area. 4 times 1 is 4 so 4 is the smaller rectangles area. 7 times 13 is 91 so 91 is the larger rectangles area. 91 - 4 is 87. This means the area of the shaded part is 87 meters squared

Answer:

252 6-inch tiles can cover the floor completely.

Step-by-step explanation:

For a rectangle of length L and width W, the area is:

A = L*W

In this case we know that the floor is 9ft long and 7 ft wide, then:

L = 9ft

W = 7ft

Because the tiles are in inches instead of ft, I will rewrite those measures on inches.

Here we need to use:

1ft = 12 in

Then:

L = 9ft = 9*( 12in) = 108 in

W = 7ft = 7ft*(12in) = 84 in

Then the area of the floor is:

A  = 108in*84in = 9,072 in^2

In this case, Ms. Yamagata wants to only use 6-inch tiles to cover all the floor.

The area of a 6-inch tile is:

a = (6 in)*(6 in) = 36 in^2

The total number of 6-inch tiles that she needs to use, is the quotient between the area of the whole floor, and the area of one tile, this is:

N = A/a = (9,072 in^2)/(36 in^2)  = 252

She needs to use exactly 252 tiles to cover the floor.

Therefore, the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83 is 75%, rounded to one decimal place.

Standard deviation is a measure of the amount of variation or dispersion in a set of data values. It measures how spread out the data is from the mean or average value. A low standard deviation indicates that the data is closely clustered around the mean, while a high standard deviation indicates that the data is more spread out. It is calculated as the square root of the variance, which is the average of the squared differences from the mean.

Here,

Chebyshev's theorem states that for any dataset, regardless of its distribution, at least 1 - 1/k² of the data will fall within k standard deviations of the mean, where k is any positive number greater than 1. To find the minimum percentage of stores that sell a gallon of milk for between $3.27 and $3.83, we can first find how many standard deviations away from the mean these prices are:

$3.27 is (3.27 - 3.55)/0.14 = -2 standard deviations from the mean

$3.83 is (3.83 - 3.55)/0.14 = 2 standard deviations from the mean

Thus, the distance between $3.27 and $3.83 is 4 standard deviations (2 in each direction).

Using Chebyshev's theorem with k = 2 (since we want to know the minimum percentage within 2 standard deviations), we have:

=1 - 1/2²

= 1 - 1/4

= 0.75

This means that at least 75% of stores sell a gallon of milk for between $3.27 and $3.83.

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