20 boxes of apples have been delivered to a restaurant. The number of apples in each box is counted. Complete the table below and answer the following question. What is the mean number of apples in a box? answer all questions

Answer:

fx) = [tex]3x+4[/tex]

Step-by-step explanation:

1. step:

solve the bracket

fx) = 3([tex]x[/tex] - 1) 2 + 5

[tex]fx) = 3x-1+2+5[/tex]

2. step:

use the BEDMAS form.

fx) = [tex]3x-3+7[/tex]

fx) = [tex]3x+4[/tex]

Answer:

b and d

Step-by-step explanation:

Begin by studying the pattern.

Here, notice that 1 × -3 is equal to -3.

-3 × -3 is equal to 9.

9 × -3 is equal to -27.

Continuing the same pattern, -27 × -3 is equal to 1.

So the next term in the pattern is 81.

So, we multiply by -3 each time.

Answer:

r = -20

Step-by-step explanation:

–7r= –8r−20

Add 8r to both sides

r = -20

Answer:

[tex] \boxed{r = -20} [/tex]

Step-by-step explanation:

[tex] = > - 7r = - 8r - 20 \\ \\ = > - 7r + 8r = - 20 \\ \\ = > 8r - 7r = - 20 \\ \\ = > r = - 20[/tex]

Answer:

Slope: 1/2

Y-Intercept: 0

Step-by-step explanation:

Use the slope formula and the slope-intercept form to find the slope  (m)  and y-intercept  (b ).

Answer:

4m−3(2m + 1)

= 4m - 3*2m - 3*1

= 4m - 6m - 3

= -2m - 3

Hope this helps!

:)

Answer:

-2m - 3

Step-by-step explanation:

Remember to follow PEMDAS. First, distribute -3 to all terms within the parenthesis:

-3(2m + 1) = (-3 * 2m) + (-3 * 1) = -6m + (-3)

4m - 6m - 3

Simplify. Combine like terms:

(4m - 6m) - 3

(-2m) - 3

-2m - 3 is your answer.

~

Answer:

12.56

Step-by-step explanation:

The arc length of the partial circle is L = 18.849 units

The central angle is an angle with two arms and a vertex in the middle of a circle. The two arms of the circle's two radii intersect the circle's arc at two separate locations. It is an angle whose vertex is the center of a circle with the two radii lines as its arms, that intersect at two different points on the circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

where s is the length of the arc

r is the radius of the circle

Central Angle = 2 x Angle in other segment

Given data ,

Let the radius of the circle be r = 4 units

Let the arc length of the circle be L

Let the central angle be = 270°

So , Central Angle = ( s x 360° ) / 2πr

On simplifying , we get

L = ( 270° / 360° ) x 2πr

L = ( 3/4 ) ( 8π )

L = 18.849 units

Hence , the arc length of the circle is 18.849 units

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Answer:

PERIMETER = 41.73 units

Step-by-step explanation:

To find the perimeter of the triangle, we will follow the  steps below:

Let the coordinate of the triangle be ABC, that is

A(9,0)    B(-5,0)   and   C(-10,6)

We will first find distance AB, BC  and CA using the distance formula

|D| = √(x₂-x₁)² +(y₂-y₁)²

A(9,0)    B(-5,0)

x₁ =9  y₁=0    x₂=-5    y₂=0

substitute the values into the formula

|AB| = √(-5-9)² +(0-0)²

       = √(-14)² +(0)²

       =√196

        =14

|AB| = 14 units

B(-5,0)      C(-10,6)

x₁ =-5  y₁=0    x₂=-10    y₂=6

substitute the values into the formula

|BC| = √(-10+ 5)² +(6-0)²

         =√(-5)² +(6)²

         =√25 + 36

         =√61

         ≈7.81

|BC| ≈7.81 units

C(-10,6)     A(9,0)

x₁ =-10  y₁=6   x₂=9  y₂=0

substitute the values into the formula

|CA| = √(9+10)² +(0-6)²

         = √(19)² +(-6)²

         =√361 +36

        =√397

        ≈19.92 units

|CA|≈19.92 units

Perimeter of triangle = |AB|+|BC|+|CA|

                                  =14+7.81+19.92

                                  =41.73

PERIMETER = 41.73 units

Answer:

the answer is B

Step-by-step explanation:

based on coordinate (3,2) :

y ≥ 4/3(3) - 2

2 ≥ 2

based on coordinate (-3,-6)

y ≥ 4/3(-3) -2

-6 ≥ -6

* the symbol is ≥ because the shaded region is above the line

Answer:

Step-by-step explanation:

If 2 angles are complementary, that means that they add up to 90 degrees.

The angle complementary to a 30-degree angle has to measure 60 degrees. D is your choice.

Answer: B. Jersey numbers are nominal data that are just replacements for​ names, so the resulting statistics are meaningless.

Step-by-step explanation:

Given the following list of data:

83 45 80 53 46 24 79 34 55 10 44

Range :

(Highest - Lowest) value

83 - 10 = 73

Sample Variance :

[Summation of (x - mean)^2] / number of observation - 1

Mean = (83+45+80+53+46+24+79+34+55+10+44) / 11

= 553 / 11 = 50.3

Check attached picture for computation of variance and standard deviation.

In football, jersey numbers do not imply any statistical relevance or importance

Answer:

(a) 0.4 or 40%

(b) 0.1 or 10%

Step-by-step explanation:

(a) If you get 4 "ones" after 10 rolls of the die, the proportion of the rolls that resulted in "ones" is:

[tex]p=\frac{4}{10}\\ p=0.4[/tex]

(b) If you get 2 "ones" after 20 rolls of the die, the proportion of the rolls that resulted in "ones" is:

[tex]p=\frac{2}{20}\\ p=0.1[/tex]

Answer:

free points

Step-by-step explanation:

first, third, and fourth options

Answer:

1,3,4

Step-by-step explanation:

e2020

the correct answer is yes. 3/8 is the irrational.

step by step explaination: Assuming you meant, then it's irrational. The square root of any Natural Number which is not a perfect square is irrational. 8 is not a perfect square so is irrational.

I am glad to help you!!!!!!!!!!!!

Answer:

No. The den will have 8 times the volume of the bedroom.

Step-by-step explanation:

The architect wants the bedroom to have the dimensions of 8 ft by 4 ft by 7 ft. Let's find the volume of the bedroom:

8 * 4 * 7 = 224 cubic feet

The architect doubles all three dimensions to create the den. This means that the den has dimensions as 16 ft by 8 ft by 14 ft.

The volume of the den is:

16 * 8 * 14 = 1792 cubic feet

Double of 224 cubic feet is 448 cubic feet.

Hence, the den will not have double the volume of the bedroom instead it will have a volume 8 times the that of the bedroom.

Doubling the initial dimensions of 8 ft. by 4 ft. by 7 ft. means that the

volume will 8 times the initial volume or 1,792 ft.

The dimensions of the room = 8 ft. by 4 ft. by 7 ft.

The amount by which the architect increases the dimension = Double the dimensions

Solution;

The volume of the room, V = 8 ft. × 4 ft. × 7 ft. = 224 ft.³

When the dimensions are doubled, we have;

Length = 2 × 8 ft. = 16 ft.

Width = 2 × 4 ft. = 8 ft.

Height = 2 × 7 ft. = 14 ft.

The new volume of the bedroom = 16 ft. × 8 ft. × 14 ft. = 1792 ft.³

Therefore;

Scale factor of volume = (Scale factor of length)³

Therefore;

Doubling the dimensions means that the volume of he room will be

multiplied by 2³ = 8 rather doubling the initial volume.

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Answer: the 90th percentile for recovery times is 8.77 days.

Step-by-step explanation:

Let x be the random variable representing the recovery time of patients from a particular surgical procedure. Since it is normally distributed and the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 5.7 days

σ = 2.4 days

The probability for the 90th percentile is 90/100 = 0.9

The z score corresponding to the probability value on the normal distribution table is 1.28

Therefore,

1.28 = (x - 5.7)/2.4

Cross multiplying, it becomes

1.28 × 2.4 = x - 5.7

3.072 = x - 5.7

x = 3.072 + 5.7 = 8.77 days

The length of the other base is 4 meters.

It is a quadrilateral that has one pair of parallel sides and a height.

The area is calculated as 1/2 x the sum of the parallel sides x height.

Examples:

Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.

Area = 1/2 x (3 + 4) x 5

Area = 1/2 x 7 x 5

Area = 35/2 = 17.5 cm^2

We have,

The area of a trapezoid.

A = (1/2) h (b1 + b2)

where A is the area, h is the height, b1, and b2 are the lengths of the two bases.

We are given,

h = 8, b1 = 12, and A = 64.

We can substitute these values into the formula and solve for b2:

64 = (1/2)(8)(12 + b2)

Simplifying:

64 = 4(12 + b2)

16 = 12 + b2

b2 = 4

Therefore,

The length of the other base is 4 meters.

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Answer:

The equations had 2 solutions:

x = 3, y = 25 or x = 7, y = 9

Step-by-step explanation:

(x - 6) x + y = 16,  4 x + y = 37

y = 37 - 4 x

x2-6x+37-4x-16=0

x2-10x+21=0

(x - 7) (x - 3) = 0 -> x =3 or x = 7

Answer:

C. is right on edg.

Pair 2 shows one figure rotated 180 degrees compared to the other, and translated as well. So they are congruent (ie the same).

Pair 4 shows one triangle reflected over the vertical line x = 22 to get the other triangle; which shows they are the same triangle.

The other pairs are not congruent. You can show that the areas of each figure being different is enough to prove they aren't the same figure.

Answer:

The ratio is 40/41

Step-by-step explanation:

In this question, we are to find the ratio that represents sine of angle I

Firstly, let’s consider the diagram of the triangle attached.

When we talk of sine, what we mean is the trigonometric identity which measures the ratio of the opposite to the hypotenuse.

Since the angle we are considering is I, the opposite is 40, while the hypotenuse is 41 ( the longest side of the triangle and the side that faces the angle 90, which is the length JI)

Thus,

mathematically sine I = 40/41

Answer:

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

because one side surface area is 8x8=64, and there is 6 sides so 64x6 = 384 units2

Answer:

D. 384 units^2

Step-by-step explanation:

The surface area of a cube can be found using the following formula:

S=6s^2

where s is the side length.

In this case, the side length of the cube is 8 units.

s=8 units

Substitute 8 units in for s.

S=6*(8 units)^2

First, evaluate the exponent.

(8 units)^2=8 units * 8 units= 64 units^2

S=6* 64 units^2

Multiply 6 and 64

S=384 units^2

The surface area of the cube is 384 square units, therefore D. 384 units^2 is correct.

Answer:

B

Step-by-step explanation: If you look at the graph, the only graph with (0,0) is B

Answer:

B

Step-by-step explanation:

Answer:

No, the triangles are not congruent.

Step-by-step explanation:

Triangle HOT has AAS, whilst triangle CLD has ASA. Therefore, the triangles are not congruent. There is also no way to prove that HOT and CLD are isoscles triangles, which means we cannot use ASA or AAS.

Answer:

1. 15+63= 78 ft cubed

2. 5.5+33= 38.5 m cubed

Answer:

w = -3.6

Step-by-step explanation:

→Add like terms (2.3w and -14 w):

-0.05 + 2.3w - 14w = -6.89 - 13.6w

-0.05 -11.7w = -6.89 - 13.6w

→Add 11.7w to both sides:

-0.05 = -6.89 - 1.9w

→Add 6.89 to both sides:

6.84 = -1.9w

→Divide both sides by -1.9:

-3.6 = w

Answer:

[tex] \boxed{w = - 3.6} [/tex]

Step-by-step explanation:

[tex] = > - 0.05 + 2.3w - 14w = - 6.89 - 13.6w \\ \\ = > - 0.05 - 11.7w = - 6.89 - 13.6w \\ \\ = > - 0.05 - 11.7w + 13.6w = - 6.89 \\ \\ = > - 0.05 + 1.9w = - 6.89 \\ \\ = > 1.9w = - 6.89 + 0.05 \\ \\ = > 1.9w = - 6.84 \\ \\ = > w = - \frac{6.84}{1.9} \\ \\ = > w = - 3.6[/tex]

Answer:

1.2 kilometers per minute; 12 kilometers

Step-by-step explanation:

We know that 60 minutes makes 1 hour.

Therefore, to convert the speed to kilometers per minute, we simply divide 72 kilometers per hour by 60 minutes:

72 / 60 = 1.2 kilometers per minute.

Distance is given as speed multiplied by time.

Therefore, in 10 mins, the car travels:

1.2 * 10 = 12 kilometers.

Answer:

The root of -100 is 10i

Step-by-step explanation:

Ten I

Answer:

1. The required information are

The average annual bonuses, [tex]\bar {x}_1[/tex] received by employees from company A

The average annual bonuses, [tex]\bar {x}_2[/tex] received by employees from company B

The standard deviation, σ₁, of the average annual bonuses for employees from company A

The standard deviation, σ₂, of the average annual bonuses for employees from company A

The number of employees in company A, n₁

The number of employees in company B, n₂

2. The null hypothesis is H₀: [tex]\bar {x}_1[/tex] - [tex]\bar {x}_2[/tex] ≤ 100

The alternative hypothesis is Hₐ: [tex]\bar {x}_1[/tex] - [tex]\bar {x}_2[/tex] > 100

Step-by-step explanation:

1. The required information are

The average annual bonuses, [tex]\bar {x}_1[/tex] received by employees from company A

The average annual bonuses, [tex]\bar {x}_2[/tex] received by employees from company B

The standard deviation, σ₁, of the average annual bonuses for employees from company A

The standard deviation, σ₂, of the average annual bonuses for employees from company A

The number of employees in company A, n₁

The number of employees in company B, n₂

2. The null hypothesis is H₀: [tex]\bar {x}_1[/tex] - [tex]\bar {x}_2[/tex] ≤ 100

The alternative hypothesis is Hₐ: [tex]\bar {x}_1[/tex] - [tex]\bar {x}_2[/tex] > 100

The z value for the hypothesis testing of the difference between two means is given as follows;

[tex]z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\frac{\sigma_{1}^{2} }{n_{1}}-\frac{\sigma _{2}^{2}}{n_{2}}}}[/tex]

At 0.5 level of significance, the critical [tex]z_\alpha[/tex] = ± 0

The rejection region is z > [tex]z_\alpha[/tex] and z < -[tex]z_\alpha[/tex]

Therefore, the value of z obtained from the relation above more than or less than 0, we reject the null hypothesis, and we fail to reject the alternative hypothesis.

Answer:

64cm2

Step-by-step explanation:

(32÷4)=8

8×8=64cm2

Answer:

64cm²

Step-by-step explanation:

perimeter of a square= 4 x side of the square

perimeter= 32cm

i.e side of the square= 32/4

side= 8cm.

Area of square = side of the square ²

=8²

therefore, area of square = 64cm²