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3 years ago

How much larger is 6 times 10 to the 5th power compared to 2 times 10 to the 3rd power

Mathematics

1 answer:

lora16 [44]3 years ago

6 0

Answer:

Either 10 times or 598,000.

Step-by-step explanation:

6 x 10 ^ 5 = 600,000

2 x 10 ^ 3 = 2,000

If we are figuring out the exact number, 600,000 - 2,000. If we are finding out how many powers larger, count.

600,000 - 2,000 = 598,000

600,000 is 10 times larger than 2,000.

See?

600,000

2,000

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Records for the past several years show that 46% of customers at a local game shop use a customer loyalty card. Due to a recent

Ratling [72]

Answer:

1. Null hypotheses: p=0.49

Alternative hypotheses: p>0.49

2. p=0.5704 or 57.04%

Step-by-step explanation:

We have to writer the hypotheses for testing the proportion has increased from 49%. So, the population proportion that is to be tested is 0.49.

As we already know that the null hypotheses always contain equality so,

Null hypotheses: p=0.49

and we have to test whether the proportion has increased from 0.49, so,

Alternative hypotheses: p>0.49

Thus, the hypotheses for testing the proportion has increased from 49% are

Null hypotheses: p=0.49

Alternative hypotheses: p>0.49

We have to find the proportion of sampled customers using loyalty card.

The given sample indicate that 77 out of 135 customers are using loyalty card. So,

p=x/n

where x is the number of favorable outcome and n is total number of outcome.

Here, x=77 and n=135. So,

p=77/135=0.5704 or 57.04%

6 0

3 years ago

What is the determinant of the coefficient matrix of this system? 4x-3y=-8 8x-3y=12

gladu [14]

The coefficient matrix is build with its rows representing each equation, and its columns representing each variable.

So, you may write the matrix as

$\left[\begin{array}{cc}\text{x-coefficient, 1st equation}&\text{y-coefficient, 1st equation}\\\text{x-coefficient, 2nd equation}&\text{y-coefficient, 2nd equation} \end{array}\right]$

which means

$\left[\begin{array}{cc}4&-3\\8&-3\end{array}\right]$

The determinant is computed subtracting diagonals:

$\left | \left[ \begin{array}{cc}a&b\\c&d\end{array}\right]\right | = ad-bc$

So, we have

$\left | \left[\begin{array}{cc}4&-3\\8&-3\end{array}\right] \right | = 4(-3) - 8(-3) = -4(-3) = 12$

8 0

3 years ago

Find the area. HELP PLEASE!!!!!!

kaheart [24]

Answer:

616

Step-by-step explanation:

The equation to find the area of a trapezoid is: A = ½ (b $^1$ +b²) h.

b1=43

b2=45

h=14

Plug the variables in and solve.

$A=\frac{1}{2} (43+45)14$

$A=\frac{1}{2} (88)14$

$A=\frac{1}{2} (1232)$

$A=616$

3 0

2 years ago

Read 2 more answers

What is the percent of increase from 5,000 to 7,000?

Otrada [13]

Answer:

40%

Step-by-step explanation:

3 0

3 years ago

3.) A 24 pack of soda costs $6.48. What is the unit rate of cost per can?

Dmitry [639]

Answer:

$0.27

Step-by-step explanation:

The unit rate of cost per can would equal total costs divide by total can

= $6.48 / 24

= $0.27

Hope this helped :3

4 0

3 years ago