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Olenka [21]
3 years ago
15

John says that 0.5y for y=1.4 is 0.7 Is he correct? Explain. 17 points

Mathematics
2 answers:
Alona [7]3 years ago
7 0
John is correct because 0.5 is equal to one half and multiplying something by its half is just same as dividing something in two and half of 1.4 is 0.5

(sorry if it's too long feel free to shorten it)
ratelena [41]3 years ago
3 0
He is correct. It is the half of the 1.4.
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Verify that the roots of 5x²- 6x -2 = 0 are <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%20%2B%20%5Csqrt%7B19%7D%20%7D%7B5%7D%2
Mice21 [21]

Answer:

Proof below.

Step-by-step explanation:

<u>Quadratic Formula</u>

x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0

<u>Given quadratic equation</u>:

5x^2-6x-2=0

<u>Define the variables</u>:

  • a = 5
  • b = -6
  • c = -2

<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:

\implies x=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(5)(-2)}}{2(5)}

\implies x=\dfrac{6 \pm \sqrt{36+40}}{10}

\implies x=\dfrac{6 \pm \sqrt{76}}{10}

\implies x=\dfrac{6 \pm \sqrt{4 \cdot 19}}{10}

\implies x=\dfrac{6 \pm \sqrt{4}\sqrt{19}}{10}

\implies x=\dfrac{6 \pm2\sqrt{19}}{10}

\implies x=\dfrac{3 \pm \sqrt{19}}{5}

Therefore, the exact solutions to the given <u>quadratic equation</u> are:

x=\dfrac{3 + \sqrt{19}}{5} \:\textsf{ and }\:x=\dfrac{3 - \sqrt{19}}{5}

Learn more about the quadratic formula here:

brainly.com/question/28105589

brainly.com/question/27953354

3 0
1 year ago
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jeka57 [31]

Answer:

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Step-by-step explanation:

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2 years ago
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"Large Sample Proportion Problem. Surveys were conducted in multiple countries and respondents were asked if they felt political
melomori [17]

Answer: 0.0158

Step-by-step explanation:

Given : The data for the United States is that out of 1,000 sampled, 470 indicated yes, they felt political news was reported fairly.

According to the given information we have,

Sample size : n= 1000

Sample proportion: \hat{p}=\dfrac{470}{1000}=0.47

The standard error for proportion is given by :-

S.E.=\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

S.E.=\sqrt{\dfrac{0.47(1-0.47)}{1000}}

S.E.=\sqrt{0.0002491}

S.E.=0.0157829021412\approx0.0158

[Rounded to the nearest four decimal places.]

Hence, the standard error for the confidence interval = 0.0158

6 0
3 years ago
Write the number 164 in expanded form
Lapatulllka [165]
If you were to write 164 in expanded form, it would be 100 + 60 + 4 = 164
Hope this helps and can I get brainliest answer bc i need it to rank up!! :D
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3 years ago
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Please answer I really need help with these just answer at least one.
aleksandrvk [35]
.50(150)+30=$105
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