Answer:
(2,21)
Step-by-step explanation:
y = 10.5x
plug 2 for x in the equation
y = 10.5(2)
then multiply 2 by 10.5
y=21
Answer:
Step-by-step explanation:
First, write an equation. 55x+40=190.
X represents the hours the electrician works. The 55 represents the $55 that she charges for each hour she works. The +40 for the $40 that was the price just to come to your house. The 190 is the total cost. Now, solve that equation.
55x+40=190
55x=150
x=2.72727272...
So the answer is 2.727 hours. It can be rounded as needed or turned into a decimal, 2 8/11.
The student with the correct answer is Dylan who says the decimal should be placed between the 8 and 0.
This is base on the estimation that 3.01 is a two decimal place number, so the product 18.06 should also be in 2 decimal place.
<h3>How to find product of decimal number?</h3>
A decimal number is a number expressed in the decimal system (base 10).
Place value:
- Ten thousand
- Thousand
- Hundred
- Ten
- ones
- . decimal point
- tenth
- hundredths
- thousandth
- ten thousandth
- hundred thousandth
6 × 3.01
3.01
- 3 = ones
- . = decimal point
- 0 = tenth
- 1 = hundredth
6 × 3.01
= 18.06
Therefore, Lucas is incorrect with his answer that the decimal should be placed between the 1 and 8.
Read more on decimal number:
brainly.com/question/1827193
#SPJ1
Answer:
The sample size required is, <em>n</em> = 502.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population proportion is:
The margin of error is:
Assume that 50% of the people would support this political candidate.
The margin of error is, MOE = 0.05.
The critical value of <em>z</em> for 97.5% confidence level is:
<em>z</em> = 2.24
Compute the sample size as follows:
![n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}](https://tex.z-dn.net/?f=n%3D%5B%5Cfrac%7Bz_%7B%5Calpha%2F2%7D%5Ctimes%20%5Csqrt%7B%5Chat%20p%281-%5Chat%20p%29%7D%7D%7BMOE%7D%5D%5E%7B2%7D)
![=[\frac{2.24\times \sqrt{0.50(1-0.50)}}{0.05}]^{2}\\\\=501.76\\\\\approx 502](https://tex.z-dn.net/?f=%3D%5B%5Cfrac%7B2.24%5Ctimes%20%5Csqrt%7B0.50%281-0.50%29%7D%7D%7B0.05%7D%5D%5E%7B2%7D%5C%5C%5C%5C%3D501.76%5C%5C%5C%5C%5Capprox%20502)
Thus, the sample size required is, <em>n</em> = 502.
5 x 3/4 = 15/4
15/4 = 3 3/4
