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3 years ago

How can you write 1,270 in expanded form with exponents

Mathematics

2 answers:

miv72 [106K]3 years ago

6 0

1.27 x 10 to the third power

rewona [7]3 years ago

3 0

Answer: $1.10^{3} + 2.10^{2} + 7.10^{1}$

Step-by-step explanation: Expanded form is a way of writing numbers. It is useful because it shows the value of each digit.

In this case, the number is 1270.

It can be rewritten as:

1270 = 1000 + 200 + 70

This is its expanded form. To add exponents, we have to use cientific notation:

1270 = 1.10³ + 2.10² + 7.10¹

This is the expanded form with exponents.

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For a random sample of 50 measurements on the breaking strength of cotton threads, the mean breaking strength was found to be 21

Vikentia [17]

Answer:

205.81 to 214.19

Step-by-step explanation:

Sample size (n) = 50

Sample mean weight (X) = 210 grams

Sample standard deviation (s) = 18 grams

Confidence coefficient (Z) at 90% = 1.645

The confidence interval for the true mean breaking strength of cotton threads of this type, at a 90% confidence level, is given by:

$CI=X \pm Z*\frac{s}{\sqrt n}\\CI=210 \pm 1.645*\frac{18}{\sqrt 50}\\CI = 210 \pm 4.19\\CI =205.81\ to\ 214.19$

The confidence interval is 205.81 grams to 214.19 grams.

6 0

4 years ago

There is no line of symmetry in ________________.

zloy xaker [14]

C) rhombus.
lines of symmetry can only go through symmetrical shapes. rhombuses are not symmetrical.

3 0

3 years ago

Read 2 more answers

Debby deposits 25% of the money that she earns each week in a savings account. If Debby earns $72 each week, how much money will

Aleksandr-060686 [28]

Answer:

$18.75

Step-by-step explanation:

25% is 1/4 of 100%

72 / 4 = 1$8.75

3 0

3 years ago

Translate this sentence into an equation.

Leni [432]

23 + d = 71. ———————————————————-

5 0

3 years ago

the combined age of april and laura is 23 years. laura's age is two years more than half of april's age. what is laura's age

Kipish [7]

Laura's age is 9 years.

Solution:

Let x be the age of April.

Laura's age = 2 years more than half of April's age

<u>Convert statement into algebraic expression:</u>

Half of April's age = $\frac{x}{2}$

2 years more than half of April's age = $\frac{x}{2}+2$

Combined age of April and Laura = 23

⇒ April's age + Laura's age = 23

$$\Rightarrow \ \ x+(\frac{x}{2}+2) =23$

$$\Rightarrow \ \ x+\frac{x}{2}+2 =23$

$$\Rightarrow \ \ \frac{x}{1}+\frac{x}{2}+\frac{2}{1} =23$

To add the fractions make the denominators same.

Multiplying 2 on both numerator and denominator of unlike terms, we get

$$\Rightarrow \ \ \frac{x\times2}{1\times2}+\frac{x}{2}+\frac{2\times2}{1\times2} =23$

$$\Rightarrow \ \ \frac{2x}{2}+\frac{x}{2}+\frac{4}{2} =23$

Denominators are same, now add the fractions.

$$\Rightarrow \ \ \frac{2x+x+4}{2} =23$

Do cross multiplication.

$$\Rightarrow \ \ 2x+x+4=23\times2$

$$\Rightarrow \ \ 3x=46-4$

$$\Rightarrow \ \ 3x=42$

$$\Rightarrow \ \ x=14$

Aprils's age = 14 years

Laura's age = $\frac{14}{2}+2$

= 7 + 2

Laura's age = 9

Hence Laura's age is 9 years.

8 0

4 years ago