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andre [41]
3 years ago
12

If x=3(y+w)-1 what id the value of w in terms of x and y ?

Mathematics
1 answer:
Sati [7]3 years ago
7 0

Answer:

x=3(y+w)-1

x=3y+3w-1

x+1-3y=3w

w = (x+1-3y) / 3

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A company determined that for each $1 increase in the price of their product, the
zaharov [31]

Answer:

To have maximum profit, the price must be increased by 5,

Step-by-step explanation:

Given that the price increase function is:

f(x) = -2x² + 20x + 150,

For maximum profit, then f(x) = 0.

Putting f(x) = 0, we have

-2x² + 20x + 150 = 0

Or

x² - 10x - 75 = 0

(x + 5)(x - 15) = 0

x = -5

Or

x = 15

Again, differentiating f(x) and equating to zero, we have

-4x + 20 = 0

4x = 20

x = 20/4

= 5

To have maximum profit, the price must be increased by 5,

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3 years ago
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Answer:

Im gonna guess 6

Step-by-step explanation:

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3 years ago
Proportional fraction to 1/4
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A proportional fraction to 1/4

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3 years ago
What is the interquartile range?<br><br> The interquartile range is ____
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Step-by-step explanation:

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The Scottsdale fire department aims to respond to fire calls in 4 minutes or less, on average. Response times are normally distr
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<h2><u>Answer with explanation</u>:</h2>

Let \mu be the population mean.

As per given , we have

H_0:\mu \leq4\\\\ H_a: \mu >4

Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.

Also, population standard deviation is given \sigma=1 , so we perform one-tailed z-test.

Test statistic : z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

, where \mu = Population mean

\sigma = Population standard deviation

n= sample size

\overline{x} = Sample mean

For n= 18 , \overline{x}=4.50 , \sigma=1 , \mu =4, we have

z=\dfrac{4.5-4}{\dfrac{1}{\sqrt{18}}}\approx2.12

P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12)  [∵ P(Z>z)=1-P(Z≤z)]\

=1- 0.0340=0.9660

Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.

[We reject null hypothesis if p-value is larger than the significance level . ]

Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .

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