Which property justifies drew first step ?



A.commutative property of multiplication

B.associative property of addition

C. subtraction property of equality

D. distributive property of multiplication over addition

Answer:

the answer is k=1

Step-by-step explanation:

Answer:

1. 3

2. 200

3. 45

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given twice the perimeter of rectangle =160

Let width of the rectangle=X

So length of the rectangle =4x

2(perimeter of rectangle)=160

2[2(length+width)]=160

4(4x+x)=160

5x=160/4

5x=40

X=40/8

X=5cm

So length of the rectangle =4x

=20cm

Width of the rectangle =X

=5cm.

Length = 4*5 = 20 cm

Width. = 4 cm.

Answer:

I= f.t = (50) (0.01) = (0.5) kg.m15

Step-by-step explanation:

jesus loves you and cares for you

The constant rate of change of the account is $40 or Increasing by $40 per month.

Step-by-step explanation:

Consider the provided information.

Joanne is depositing money into a bank account. After 3 months there is $120 in the account. After 6 months there is $240 in the account.

Rate of change is known as how one quantity change in relation to other.

The rate of change can be calculated as:

y2-y1/x2-x1  

Now use the above formula to calculated the rate of change.

240 - 120/6-3

120/3

40

Hence, the constant rate of change of the account is $40 or Increasing by $40 per month.

Answer:

a. 99

b. 12.31

Step-by-step explanation:

a. Estimate of the population mean number of units sold per month

n = Number of Data Values = 5

Sum of Data Values = Σxi =97 + 120 + 88 + 97 + 93 =  495

Sample Mean = X = Σxi/n = 495 / 5 = 99

The population mean number of units sold per month is 99

b. Estimate of the population standard deviation

Month    Data (x)     X    x - X    (x - X)^2

   1             97          99     -2         4

   2            120        99      21       441

   3             88         99      -11       121

   4             97         99      -2        4

   5             93         99      6         36

Sum of deviation squared          606

s^2 = Sample Variance = Σ(xi - X)2/(n - 1)

Sample Variance = 606/4 = 151.5

Sample Standard Deviation = √Sample Variance

Sample Standard Deviation = √151.5

Sample Standard Deviation = 12.30853362509117

Sample Standard Deviation = 12.31

The point estimate of the population standard deviation is 12.31

Answer:

The product can be calculated.

The resulting matrix will have 3 rows and 3 columns.

Step-by-step explanation:

Matrix multiplication

To find the product of two matrices is only possible when the number of columns of the first matrix is equal to the number of rows of the second matrix.

If X is the first matrix with dimensions (n x m) and Y is the second matrix with dimensions (m x p), the product XY is possible and the dimensions of the resulting matrix are (n x p).

Matrix A has two rows and three columns (2x3)

Matric C has three rows and two columns (3x2)

If we wanted to calculate the product CA, the number of columns of C must be equal to the number of rows of A.

Since both numbers are 2, the product can be calculated.

The resulting matrix will have 3 rows and 3 columns.

Answer:

a. The 95% confidence interval is 0.799<p<0.847

b. The sample size n is 622

Step-by-step explanation:

A

P^ = 823/1000

= 0.823

At 95% confidence interval

P^ +- z-alpha/2√p^(1-p^)/n

z-alpha/2 = 1.96

When we insert values we get:

0.823+-1.96√0.823(1-0.823)/1000

= 0.823+-1.96√0.000145671

= 0.823+-1.96(0.012069)

= (0.8467, 0.7993)

The 95% confidence interval is 0.799<p<0.847

B.

We are to compute the sample size here.

The formula and full calculation has been done in the attachment.

4268.4x0.145671

= 621.78

= 622

n = 622

Answer:

the answer is 93

Step-by-step explanation:

i dont know how to explain it but just use a calculator.

Answer:

Step-by-step explanation:

563 people / 15 classes= 37 8/15. They should offer 38 classes.

2146 questions in 45 weeks.

2146/45= 47 31/45. round to 48 questions a week.

I would choose the first one. Even though the 2000 is an underestimate, the 50 weeks is overestimate , when divided it comes out to 50 questions a week which is closer to the 48 it actually is. I'd rather write too many questions then not enough.

Answer:

No (The linear model did a very bad job of approximating the data.)

I am so sorry if this in incorrect.

The percentage illumination of the moon's surface is not a linear function of day

From the complete question, the dataset can be represented using the following table:

Days   Percentage Illumination

1           2%

2          6%

3          50%

4          100%

Notice that as the number of days increase by 1, the percentage illumination of the moon increase at different intervals

This means that the percentage illumination is not a linear function of day

Read more about linear functions at:

https://brainly.com/question/14323743

#SPJ2

Answer:

Option 3

Step-by-step explanation:

Since lines a and b are intersecting, x+5=2x-5. Because they are vertical angles.

x+5=2x-5

2x-x=5+5

x=10

Answer:

3/4

Step-by-step explanation:

4/5 divided by 16/15 = 4/5 x 15/16

Simplfied = 1 x 3 / 1 x 4

Simplified = 3/4

Thus, our answer is 3/4

Answer:

18.75 miles

Step-by-step explanation:

1 hour = 60 minutes

2.5 Hours = 150 minutes

10 miles _____> 80 minutes

x_______> 150 minutes

x= ( 150 * 10) / 80

= 1500/80

x= 18.75 miles

easy

Answer:

Step-by-step explanation:

10 miles- 80 minutes

            ?- 150 minutes

1500+80x

X= 10.75 miles

Answer:

2 16/21

Step-by-step explanation:

Answer:

d. 165 calories

Step-by-step explanation:

First of all, we would find the amount of calories in 1 gram of the artificial sweetener

1 gram = 220/75

1 gram = 2.93 calories

Therefore, 484 grams has;

484 * 2.93 = 165.2

Approximately, this is equal to 165 calories.

Method 2

220 grams of the artificial sweetener has 75 calories.

484 grams of the artificial sweetener has x calories.

Translating the word problem into an algebraic equation, we have;

220 = 75

484 = x

Cross-multiplying, we have;

220x = 75*484

220x = 36300

x = 36300/220

x = 165 calories.

Answer:

IT>RT>RI

Step-by-step explanation:

sin72°>sin67°>sin41°

Answer:

D

Step-by-step explanation:

(16x +1) -5x

you basically subtract the -5x from 16x

11x +1

Answer:

12.78

Step-by-step explanation:

63.65 divided by 5 = 12.7

Answer:

Equation:63.65÷5=12.73

A)$12.73

Step-by-step explanation:

Division is this symbol ÷

Your problem directly states to divide the amount in money by the amount of children

Answer:

Ithink b

Step-by-step explanation:

because all of them are they dissimilar to the reason

Answer:

23/10 or 15

Step-by-step explanation:

Answer:

-500

Step-by-step explanation:

Given sequence;

    97, 94, 91 ......

Unknown;

The 200th term of the sequence;

Solution:

Since we were given an arithmetic progression, we need to first find the common difference;

 Common difference  = second term - first term

                                     = 94 - 97  

                                     = -3

To find the 200th term, we use the expression below;

     Sn  = a + (n-1)d

   a is the first term

    n is the nth term

   d is the common difference

 S₂₀₀ = 97 + (200 - 1 ) x -3 = -500