The owner of a local restaurant surveyed her staff on their preference of uniform color. The results are displayed in the table below. Which pair of samples is most representative of the preference of all the staff?

The remainder of (h4 h2 – 2) ÷ (h 3). The remainder is 88.

Given:

(h⁴ + h² – 2) ÷ (h + 3)

Using reminder theorem

First step is to equate:

h + 3 =0

h = - 3

Second step is to determine the remainder

Substitute h = - 3 into (h⁴ + h² – 2)

Hence:

h⁴ + h² – 2 = (-3)⁴ + (-3)² - 2

h⁴ + h² – 2= 81 + 9 - 2

h⁴ + h² – 2=90-2

h⁴ + h² – 2= 88 remainder

Therefore the remainder is 88.

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Answer:

Step-by-step explanation:

ohn will need to sleep for 10.3 hours before his second exam so that the

he average of his two exam scores is an 80.

We were given

8 hours of sleep = 70

To get an average of 80

70+ x = 80

2

Cross multiply:

70+x = 160

x= 160-70

= 90.

If 8 hours of sleep = 70

x hours of sleep = 90

Cross multiply

8× 90 = 70 × x

720 = 70x

x = 720/70

x = 10.2857

≈ 10.3 hours of sleep

Answer:

14

Step-by-step explanation:

the absolute value of -8 is 8

the absolute value of 6 is 6.

6 + 8 = 14

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Answer:

14

Step-by-step explanation:

The absolute value of -8 is 8. and the absoluite value of 6 is 6. 6 plus 8 is 14

The total time in seconds of the walk-in terms of x is given as (4/3)x

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the distance walked, hence:

Total time = [x / (6/5)] + x/2 = (4/3)x

The total time in seconds of the walk-in terms of x is given as (4/3)x

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Multiplication is the process of multiplying. The products that have the same sign as the product of -2 3/7 and -6/11 are B and D.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The product of two positive numbers and the product of two negative numbers both are positive while the product of a negative number and a positive number is negative. Therefore, the product of -2 3/7 and -6/11 is positive, since both are negative.

A.) 3/8 × (-6/7) = Negative

B.) 1 2/9 × 2 6/17 = Positive

C.) -9/20 × 3 4/5 = Negative

D.) -1/3 × -2/3 = Positive

Hence, the products that have the same sign as the product of -2 3/7 and -6/11 are B and D.

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Which products have the same sign as (Negative 2 and StartFraction 3 over 7 EndFraction) (Negative StartFraction 6 over 11 EndFraction)? Check all that

The required sample size is equal to 273.

We have given that,

A political candidate has asked you to conduct a poll to determine what percentage of people support her.

We have to determine the If the candidate only wants an 8% margin of error at a 99% confidence level,

p=0.5 (default since no value is given)

q=1-0.5=0.5

margin of error=5%=0.05

z_c=1.65 at 90% confidence.

The margin of error:

[tex]e= sqrt(p(1-p)/n)*z_c[/tex]

Use the given value in the above formula we get,

0.05=sqrt(0.5*0.5/n)*1.65

n= (0.5*1.65/0.05)^2=272.25

Therefore, The required sample size is equal to 273.

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Answer:

The complete factored form of the given [tex]f(x)[/tex] is [tex](x+5)(x^2+16)[/tex].

Step-by-step explanation:

Answer:

f(x)=x*3+5x+2+16x+80 y=x*3+5x*2+16x+80 x=y*3+5y*2+16y+80=8 3y+10y+16y+80=x29y+80=x29y=x-80y=1/29x-80/29 f(x)-1=1/29x-80/29

Answer:

7.5 sq. un

Step-by-step explanation:

Hello!

The height is 3 units, the base is 4 units, and the other base is 1 unit.

Using the trapezoid area formula, [tex]A = \frac12(b_1+b_2)h[/tex],  we can plug the values in and solve.

Solve:

The area is 7.5 sq. un

Answer:

Answer:16π

Step-by-step explanation:

As we know,

Area of cicle=πr^2

=π(4)^2

=16π

The number of games Ben predict Orioles will win this year is 64 games

Number of games Ben predict they will win = 40% of 160

= 40/100 × 160

= 0.4 × 160

= 64

Therefore, the total number of games Ben predict they will win is 64 games

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Answer:

9 yards

Step-by-step explanation:

Length of missing leg = √ Hypotenuse² - Adjacent side²

b = [tex]\sqrt{15^{2} - 12^{2} } \\\sqrt{225 - 144} \\\sqrt{81} \\[/tex]

b = 9 yd

The surface area of the cylinder is 1155.52 square ft if the radius and height of the cylinder are 8 ft and 15 ft.

In geometry, it is defined as the three-dimensional shape having two circular shapes at a distance called the height of the cylinder.

We know the volume of the cylinder is given by:

[tex]\rm V = \pi r^2 h[/tex]

The surface area of the cylinder:

[tex]\rm A =2\pi rh+2\pi r^2[/tex]

r = 8 ft

h = 15 ft

[tex]\rm A =2\pi (8)(15)+2\pi (8)^2[/tex]

A = 1155.52 square ft

Thus, the surface area of the cylinder is 1155.52 square ft if the radius and height of the cylinder are 8 ft and 15 ft.

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Answer:

Step-by-step explanation:

You can graph the inequality by...

Answer:

25m/s

Step-by-step explanation:

distance = 30km = 30× 1000m

time = 20 min = 20 × 60 = 1200sec

we know,

speed = distance/time taken

= 30000/1200

= 25m/s

[tex]~~~~~~6x-21 > 5\\\\\implies 6x > 5+21\\\\\implies 6x > 26\\\\\implies x > \dfrac{26}6\\ \\\implies x > \dfrac{13}{3}\\[/tex]

The area of the triangle AOB is 9√3 square units

The triangle AOB is an equilateral triangle with the following parameters:

Side length, x = 6

Angle, y = 60

The area of the triangle is then calculated using:

Area = 0.5 * x^2 * sin(y)

So, we have:

Area = 0.5 * 6^2 * sin(60)

Evaluate

Area = 18 * 0.5√3

Evaluate the product

Area = 9√3

Hence, the area of the triangle AOB is 9√3 square units

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If you replace the outlier of 113°F with 100°F, the the range changes from 42 degrees to 29 degrees.

In the case above, by  replace the outlier of 113°F with 100°F, IQR will not change due to the fact that the q1 and q3 values are not influence by the outlier.

But the range will change from 42 degrees to 29 due to the fact that

113 - 71 = 42 and

100 - 71 =  29

Therefore, If you replace the outlier of 113°F with 100°F, the the range changes from 42 degrees to 29 degrees .

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Answer:

$8/hour

Step-by-step explanation:

We will start by finding how much money she made before spending it. The amount of money she took home added to how much money she spent will give us this. ([tex]12 + 36 = 48[/tex]). This means she made $48 before spending it.

Now we can solve for her wage. Let [tex]x[/tex] be her hourly wage

(the 6 is the number of hours she worked, this multiplied by her wage should give us 48)

[tex]6x = 48\\x = 8[/tex]

This means that she made $8/hour.

That is the answer

- Kan Academy Advance

The amount of money Clint will plan to spend to replace the floors is $17404.09

The hardwood floor is rectangular.

Therefore,

area of hallway = 18 × 6 = 108 ft²

area of the kitchen = 20 × 30 = 600 ft²

area of the living room = 25 × 45 = 1125 ft²

area of each bedroom = 12 × 16 = 192 ft²

area of master bedroom = 14 × 20 = 280 ft²

Hence,

cost of flooring per square foot is $5.48

total cost for flooring = 108(5.48) + 600(5.48) + 1125(5.48) + 192(5.48) + 192(5.48) + 280(5.48) = $13683.56

Cost of installation is $1.49 per square.

total cost of installation = 108(1.49) + 600(1.49) + 1125(1.49) + 192(1.49) + 192(1.49) + 280(1.49) = $3720.53

Total  amount to replace the floor = 13683.56 + 3720.53 = $17404.09

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Answer:

the triangle is not right-angled

Step-by-step explanation:

First of all, we are told that the perimeter of the triangle is 22 and the two sides are given, 8cm and 5cm respectively. This means that the third side is: 22-(8+5) = 9cm

From this as see that 9cm is the highest length we have and if it were a right-angled triangle, this could be the hypotenuse. Now, to be sure of the initial response we use the Pythagoras theorem. We know that the hypotenuse² = adjacent² + opposite²

let's use the measurements we are given in the question

8²+5²=AC²

64+25=89

AC=√89

AC=9.433981132

AC =9.43cm

and when we add 8+5+9.43 to calculate the perimeter we get 22.43 which is not the initial perimeter, this the triangle isn't right-angled

Answer:

[tex] R = \dfrac{PV}{nT} [/tex]

Step-by-step explanation:

[tex] PV = nRT [/tex]

[tex] nRT = PV [/tex]

[tex] R = \dfrac{PV}{nT} [/tex]

Answer:

raise ^that 4 to the power of -1+2 like this

raise ^to the power -2 like this

5-2=3 <Awnser

2 ft by 6

Dure hope this helps you

Answer: 2ft by 6

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The limit of the expression as x approaches -3 is -24

The expression is given as:

[tex]x^3 + 3x^2 + 4x - 12[/tex]

As x approaches -3.

The limit expression becomes

[tex]\lim_{x \to -3} x^3 + 3x^2 + 4x - 12[/tex]

Substitute -3 for x in the expression

[tex]\lim_{x \to -3} (-3)^3 + 3(-3)^2 - 4*3 - 12[/tex]

Evaluate the expression

[tex]\lim_{x \to -3} -24[/tex]

Hence, the limit of the expression as x approaches -3 is -24

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Answer:

603.185789 m2

Step-by-step explanation:

603.185789 m2 or 192 π m2

formula is  [tex]3\pi r^2[/tex]:

3 x  pi x 8^2 = 603.185789489

The probability of randomly selecting a cat or dog is P(cat or dog) = P(cat) + P(dog)

Since we cannot select a cat and dog at the same time, their probabilities are mutually exclusive

If we have events a and b which are mutually exclusive with probabilities P(a) and P(b) respectively, the probability of a or b is P(a or b) = P(a) + P(b)

Let

So, probability of randomly selecting a cat or dog is

P(cat or dog) = P(cat) + P(dog)

So, probability of randomly selecting a cat or dog is P(cat or dog) = P(cat) + P(dog)

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Answer:

1

Step-by-step explanation:

3/7 divided by 3/7 is nothing but

3/7 times 7/3 because of the keep, change, flip rule.

3/7 times 7/3 is nothing but 21/21

21/21 simplifies to 1/1

1/1 = 1

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Subtraction is a mathematical operation that reflects the removal of things from a collection. The number of students who like pink polka dots is 14.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

The complete question is:

A sample of 50 11th graders was asked to select a favorite pattern out of 6 choices. the following display shows what their favorite color patterns were.

The counts have been recorded in the accompanying table according to pattern and the number of students who selected the pattern. what is the missing value in the table?

Given the total number of students in the sample was 50, therefore, the number of students who like pink polka dots is:

Number of students = 50 - (4+9+11+9+3)

                                  = 14

Hence, the number of students who like pink polka dots is 14.

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diameter of the cone=15.8inches