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frozen [14]
3 years ago
11

3 Select the correct answer. The variable y varles directly as x. When x = 20, y= 12. What is the value of y when x= 15?

Mathematics
2 answers:
stepladder [879]3 years ago
4 0

Answer:

B

Step-by-step explanation:

Given y varies directly as x, then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition when x = 20, y = 12, then

12 = 20k ( divide both sides by 20 )

k = \frac{12}{20} = \frac{3}{5}

y = \frac{3}{5} x ← equation of variation

When x = 15, then

y = \frac{3}{5} × 15 = 9

liraira [26]3 years ago
3 0

Answer:

B.9

Step-by-step explanation:

What I did is I used ratio.

20:12

15:X

Cross multiply:15x12

Answer:180

The answer you get divided by 20.

180/20=9.

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The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean μ, the act
cluponka [151]

Answer: 0.3061.

Step-by-step explanation:

Given : The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean \mu, the actual temperature of the medium, and standard deviation \sigma.

Let X be the random variable that represents the reading of the thermometer.

Confidence level : =95\%

We know that the z-value for 95% confidence interval is 1.96.

Then, we have

-1.96      z=\dfrac{X-\mu}{\sigma}

\Rightarrow\ -1.96\sigma  

But all readings are within 0.6° of \mu.

So, 1.96\sigma=0.6  

\Rightarrow\ \sigma=\dfrac{0.6}{1.96}=0.30612244898\approx0.3061

Hence, the required standard deviation will be  

7 0
3 years ago
!NOW! Bennett budgeted $6,000 to spend on food for the year. If he spent $400 each month,
nata0808 [166]

Answer:

Y=6000-400x

Step-by-step explanation:

Y=6000-400x where 6000 is beginning total, x represents how many months have passed, and 400x reduces the total by 400 for x number of months.

7 0
3 years ago
Easy Question! Find the number that should be added to the expression to create a perfect square trinomial: x^2 − 8x
marysya [2.9K]

Answer: The answer is C

Step-by-step explanation:

Well, an example of a perfect square trinomial would look like is:

                   a^2-2ab+b^2      or      a^2+2ab+b^2

So since we already know what a^2 is and what 2ab is we just have to find b^2

However, we would use the a^2-2ab+b^2 formula to solve this since we have a subtraction sign

7 0
2 years ago
Find the approximate value of the circumference of a circle with the given radius. use = 3.14. round your results to one more de
sveta [45]
The circumference of the circle is about 25.12 inches. Hope it help!
4 0
3 years ago
Simplify the expression 2⋅(3+5−1)⋅2.
Over [174]

\huge\text{Hey there!}

\mathsf{2 \bullet (3 + 5 - 1) \bullet 2}

\mathsf{= 2 \times (3 + 5 - 1) \times 2}

\mathsf{= 2(3 + 5 - 1)(2)}

= \mathsf{2(8 - 1)(2)}

\mathsf{= 2(7)(2)}

\mathsf{= 14(2)}

\mathsf{= 28}


\huge\textsf{Therefore, your answer should be: }

\huge\boxed{\frak{28}}\huge\checkmark


\huge\text{Good luck on your assignment \& enjoy your day!}


<h3>
~\frak{Amphitrite1040:)}</h3>
8 0
2 years ago
Read 2 more answers
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