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KatRina [158]
2 years ago
14

estimate 0.037854921 to the nearest hundredth express your answer as a single digit times a power of 10

Mathematics
2 answers:
romanna [79]2 years ago
7 0

Answer:

4\times 10^{-2}.

Step-by-step explanation:

We have bee a number 0.037854921. We are asked to estimate the number to the nearest hundredth and and express answer as a single digit times a power of 10.

Round to nearest hundredth (two decimals after decimal):

0.037854921\approx 0.04 (Thousandths digit is greater than 5; round up)

Now, we will write 0.04 as a fraction.

0.04\times\frac{100}{100}=\frac{4}{100}

Write 100 as a power of 10:

\frac{4}{100}=\frac{4}{10^2}

Using exponent rule \frac{1}{a^m}=a^{-m}, we will get:

\frac{4}{10^2}=4\times 10^{-2}

Therefore, our required number in scientific notation would be 4\times 10^{-2}.

Vilka [71]2 years ago
6 0

To solve this problem you must apply the proccedure shown below:

1. Let's round the value to the nearest hundredth. As you can see, the digit 8 is in the thousandths place and is greater than 5, therefore, you must round up to 0.038.

2. Now express the value as a single digit times a power of 10, as following:

38x10^{-3}

Therefore, the answer is: 38x10^{-3}

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What is the domain of the function shown in the
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{x | x = -5, -3, 1, 2, 6}

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In the mapping of the function above, all input values make up the domain of the function.

Thus, the domain is:

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3 years ago
The mathematics department sponsors Math Family Fun Night every year.  In the first year, there were 35 participants.  In the th
Korolek [52]

1,35     3,57

 

slope = (57 - 35)/(3 - 1) = 11

 

y = 11 x + b

 

35 = 11 (1) + b

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3 0
3 years ago
. The estimate regression equation for a model involving two independent variables and 10 observations follows.y = 29.1270 + 0.5
beks73 [17]

Answer:

b) y = 289.815 when x_1 = 180 \text{ and } x_2 = 310

Step-by-step explanation:

We are given the following information in the question:

y = 29.1270 + 0.5906x_1 + 0.4980x_2

where y is the dependent variable,

x_1, x_2 are the independent variable.

The multiple regression equation is of the form:

y = b_0 + b_1x_1 + b_2x_2

where,

b_0: is the intercept of the equation and is the value of dependent variable when all the independent variable are zero.

b_1: It is the slope coefficient of the independent variable x_1.

b_2: It is the slope coefficient of the independent variable x_2.

  • The regression coefficient in multiple regression is the slope of the linear relationship between the dependent and the part of a predictor variable that is independent of all other predictor variables.

Comparing the equations, we get:

b_1 = 0.5906\\b_2 = 0.4980

  • This means holding x_2 constant, a change of one in x_1 is associated with a change of 0.5906 in the dependent variable.
  • This means holding x_1 constant, a change of 1 in x_2 is associated with a change of 0.4980 in the dependent variable.

b) We have to estimate the value of y

y = 29.1270 + 0.5906(180) + 0.4980(310) = 289.815

3 0
3 years ago
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