factor
1. 6a+ 48
2. 9a -81b

Answer:

A

Step-by-step explanation:

Answer:

what's the question

Step-by-step explanation:

is it multiplied divide add subtract

Answer:

simplify

[tex] \frac{ - 168}{4} = - 42[/tex]

Answer:

+4

Step-by-step explanation:

Answer:

-4.

Step-by-step explanation:

Change in y is 11 - 15 = -4  ( 7 - 11 = -4)

Answer:

4

Step-by-step explanation:

1/4 of 16 is the same as 16 divided by 4. 16 divided by four is 4.

Answer:

Step-by-step explanation:

area=16×8+1/2×3×6

=128+9

=137 sq. ft.

Answer:

[tex](a)\ Mean = 80kg[/tex]

[tex](b)\ Median = 76kg[/tex]

[tex](c)\ Mode = 61kg[/tex]

Step-by-step explanation:

Given

[tex]Data:105kg, 53kg ,76kg ,91kg ,120kg ,61kg ,55kg ,98kg ,61kg[/tex]

[tex]n = 9[/tex]

Solving (a): The mean

This is calculated using:

[tex]\bar x = \frac{\sum x}{n}[/tex]

[tex]\bar x = \frac{105kg+53kg +76kg +91kg +120kg +61kg +55kg +98kg +61kg}{9}[/tex]

[tex]\bar x = \frac{720kg}{9}[/tex]

[tex]\bar x = 80kg[/tex]

Hence:

[tex]Mean = 80kg[/tex]

Solving (b): The median

[tex]Data:105kg, 53kg ,76kg ,91kg ,120kg ,61kg ,55kg ,98kg ,61kg[/tex]

Arrange in ascending order

[tex]Data: 53kg ,55kg, 61kg ,61kg,76kg ,91kg ,98kg , 105kg,120kg[/tex]

[tex]n = 9[/tex]

So, the position of the median element is:

[tex]Median = \frac{n+1}{2}th[/tex]

[tex]Median = \frac{9+1}{2}th[/tex]

[tex]Median = \frac{10}{2}th[/tex]

[tex]Median = 5th[/tex]

The 5th element is 76kg

Hence:

[tex]Median = 76kg[/tex]

Solving (c): The mode

In the given data

[tex]Mode = 61kg[/tex]

Because it has a frequency of 2 (the highest), others have 1

Fifty randomly selected customers who dined at the restaurant will be best to collect the data thus, option (B) is correct.

Sampling is collecting some items in a lot randomly to predict opinions about the lot.

For example; the Selection of goods, selection of people

Sampling is a useful technique because if we do it for all samples then it will take time and cost as well.

As per the given,

To find out the customers' opinions on the variety of appetizers offered on the menu we need to take randomly customers and the customers who dine at the restaurant because if they did not dine then they didn't know the verities.

The random selection gives the exact results.

Hence "Fifty randomly selected customers who dined at the restaurant will be best to collect the data".

To learn more about sampling,

https://brainly.com/question/13287171

#SPJ1

Answer:

The father is 42 years old and the son is 12 years old.

Step-by-step explanation:

Since three years ago the sum of the ages of father and his son was 48 years, and three years hence father's age will be three times that of his are his, to find the present ages of the father and his are his, the following calculations must be performed:

F + S = 48

F + 6 + S + 6 = 3S

34 + 14 = 48 /// 34 + 6 = 40 --- 14 + 6 = 20 (x 3 = 60)

38 + 10 = 48 /// 38 + 6 = 44 --- 10 + 6 = 16 (x 3 = 48)

40 + 8 = 48 /// 40 + 6 = 46 --- 8 + 6 = 14 (x 3 = 42)

39 + 9 = 48 /// 39 + 6 = 45 --- 9 + 6 = 15 (x 3 = 45)

39 + 3 = 42

9 + 3 = 12

Therefore, the father is 42 years old and the son is 12 years old.

Answer:

[tex]R_5=1.12[/tex]

Step-by-step explanation:

We want to calculate the right-endpoint approximation (the right Riemann sum) for the function:

[tex]f(x)=x^2+x[/tex]

On the interval [-1, 1] using five equal rectangles.

Find the width of each rectangle:

[tex]\displaystyle \Delta x=\frac{1-(-1)}{5}=\frac{2}{5}[/tex]

List the x-coordinates starting with -1 and ending with 1 with increments of 2/5:

-1, -3/5, -1/5, 1/5, 3/5, 1.

Since we are find the right-hand approximation, we use the five coordinates on the right.

Evaluate the function for each value. This is shown in the table below.

Each area of each rectangle is its area (the y-value) times its width, which is a constant 2/5. Hence, the approximation for the area under the curve of the function f(x) over the interval [-1, 1] using five equal rectangles is:

[tex]\displaystyle R_5=\frac{2}{5}\left(-0.24+-0.16+0.24+0.96+2)= 1.12[/tex]

Answer:

L' = 26cm

W' = 39cm

Step-by-step explanation:

a) Given the dimension of the shape;

length L = 10cm

Width W = 15cm

After dilating by a scale factor os 2.6

New length L' = 2.6(10) = 26cm

New width = W' = 2.6(15) = 39cm

Hence the length of each sides of the dilated image are 26cm and 39cm

b) The new image will be similar to the given image but of with the resulting length gotten in (a).

Answer:

y=5x

Step-by-step explanation:

If the input is x, then the out put is 5x. So y=5x

Answer:

A. 4- (-2)

Step-by-step explanation:

suerte!!!!!!!

Answer:

-20 3/4, - 15 1/2, - 14 3/4, - 1/4

Step-by-step explanation:

Given the depths :

-14 3/4, - 15 1/2, - 1/4, - 20 3/4

Ordering from least to greatest :

Since the numbers are negative; arranging the numbers as it would appear on a number line ; Large whole number negative values are always the least.

-20 3/4, - 15 1/2, - 14 3/4, - 1/4

Answer:

um what

Step-by-step explanation:

Answer:

Yes, because both diagonals bisect each other.

Step-by-step explanation:

correct on test

Answer:

yes

Step-by-step explanation:

P = 20.6, I hope this helps you!!!!!

Using the sine rule, a/sin(A) = b/sin(B) = c/sin(C)

But we have to have at least two angles and two lengths to equate it to one another. We could find the third angle in this triangle to use as our second angle, but we do not know the value of x, so we have to find the second length.

To do that, we use Pythagoras theorem;

a^2 = b^2 + c^2

a^2 = 7^2 + 5^2

a^2 = 49 + 25

a^2 = 74

square root both sides to get rid of the square on a:

a = sqrt(74)

a ~ 8.60

Now we can apply our sine rule. Note that the lengths and angles are the ones opposite each other. For example, the corresponding angle of 8.60 is 90° and the one for 5 is x°.

So,

8.60/sin(90) = 5/sin(x)

8.60/1 = 5/sin(x), since sin(90) = 1

Make sin(x) the subject,

sin(x) = 5/8.60

sin(x) = 0.5814

x = sin^-1(0.5814)

x ~ 35.6°

Answer:

143

Step-by-step explanation:

Answer:

$23,219.72

Step-by-step explanation:

ab^x

a: initial value

b: value remaining after depreciation per year (in percentage)

x: number of years that have passed

35000(0.95)^8= 23219.7151

Round to the nearest hundredth value:

About $23219.72

Answer:

4/5

Step-by-step explanation:

Given :

And we need to find the value of sinZ .

We know that , sine is the ratio of perpendicular and Hypotenuse. So that ,

[tex]:\implies[/tex] sinZ = p/h

[tex]:\implies[/tex] sin Z = 32/40

[tex]:\implies[/tex] sin Z = 4/5

Hence the renquired answer is 4/5.

Answer:

B. solid B

Step-by-step explanation:

solid a surface area: 150

solid b surface area: 184

Answer:

mmmmm

Step-by-step explanation:

Step-by-step explanation:

all working is above

hope that helps

Answer:

okay

Step-by-step explanation: