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polet [3.4K]
2 years ago
12

Compare and contrast the methods you can use to multiply a whole number and a decimal.

Mathematics
1 answer:
garri49 [273]2 years ago
8 0
Here are the methods you can use when multiplying a whole number and a decimal. In multiplying a whole number, you can just do the normal multiplication process and the product would still be a whole number. In multiplying a decimal, it becomes different because the decimal points will affect the product. In multiplying decimal, each time we multiply by a power of 10, the decimal point is moved one place to the right. <span>When multiplying a decimal by a whole number, placement of the decimal point is very important. When a given number has 2 decimal places, the product must also have two decimal places. Hope this explanation helps.</span>
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What is the 185th digit in the following pattern 12345678910111213141516...?
Natalka [10]
1-9  = 9 digits
10-99 = 180 digits
So if we continue the pattern to 99, there are 189 digits, and the last 5 digits would be 79899.  Counting backwards: 189th = 9, 188th = 9, 187th = 8, 186th = 9, 185th = 7.

The 185th digit is 7.

4 0
2 years ago
Mika used division to rewrite 5/40
ella [17]
Hello there, and thank you for posting your question here on brainly.

To convert a decimal to a percent, you have to make the decimal a whole number by getting rid of the decimal point, and then at a % sign.

0.125 ===> 125

125 ===> 125%

Hope this helped!! ☺♥
7 0
2 years ago
Read 2 more answers
Which monomial is a perfect cube?<br><br> 16x6<br> 27x8<br> 32x12<br> 64x6
Svetlanka [38]
Which monomial is a perfect cube?<span>16x6</span><span>27x8</span><span>32x12</span><span>64x<span>6

Its D </span></span>
5 0
2 years ago
Read 2 more answers
a previous analysis of paper boxes showed that the standard deviation of their lengths is 15 millimeters. A packers wishes to fi
vladimir1956 [14]

Answer:

864.36 boxes

Step-by-step explanation:

In the question above, we are given the following values,

Confidence interval 95%

Since we know the confidence interval, we can find the score.

Z score = 1.96

σ , Standards deviation = 15mm

Margin of error = 1 mm

The formula to use to solve the above question is given as:

No of boxes =[ (z score × standard deviation)/ margin of error]²

No of boxes = [(1.96 × 15)/1]²

= 864.36 boxes

Based on the options above, we can round it up to 97 boxes.

8 0
2 years ago
A statistics practitioner in a large university is investigating the factors that affect salary of professors. He wondered if ev
Ulleksa [173]

Answer:

Step-by-step explanation:

Hello!

Given the linear regression of Y: "Annual salary" as a function of X: "Mean score on teaching evaluation" of a population of university professors. It is desired to study whether student evaluations are related to salaries.

The population equation line is

E(Y)= β₀ + β₁X

Using the information of a n= 100 sample, the following data was calculated:

R²= 0.23

                Coefficient    Standard Error  

Intercept    25675.5           11393

x                  5321                  2119

The estimated equation is

^Y= 25675.5 + 5321X

Now if the interest is to test if the teaching evaluation affects the proffesor's annual salary, the hypotheses are:

H₀: β = 0

H₁: β ≠ 0

There are two statistic you can use to make this test, a Student's t or an ANOVA F.

Since you have information about the estimation of  β you can calculate the two tailed t test using the formula:

t= \frac{b - \beta }{\frac{Sb}{\sqrt{n} } } ~t_{n-2}

t= \frac{ 5321 - 0 }{\frac{2119}{\sqrt{100} } } = 25.1109

The p-value is two-tailed, and is the probability of getting a value as extreme as the calculated t_{H_0} under the distribution t_{98}

p-value < 0.00001

I hope it helps!

3 0
2 years ago
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