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9966 [12]
4 years ago
7

Where did Jack Frost catch a cold?

Mathematics
1 answer:
sukhopar [10]4 years ago
5 0
In Antarctica with his penguin friends
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Solve the inequality 4t^2 ≤ 9t-2 please show steps and interval notation. thank you!​
FromTheMoon [43]

Answer: t\in [\dfrac{1}{4},2]

Step-by-step explanation:

Given

Inequality is 4t^2\leq9t-2

Taking variables one side

\Rightarrow 4t^2-9t+2\leq0\\\Rightarrow 4t^2-8t-t+2\leq0\\\Rightarrow 4t(t-2)-1(t-2)\leq0\\\Rightarrow (4t-1)(t-2)\leq0

Using wavy curve method

t\in [\dfrac{1}{4},2]

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3 years ago
Which list shows the numbers in order from least to greatest?
dem82 [27]

Answer:

7.41, 7.6, 745

Step-by-step explanation:


5 0
3 years ago
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Challenge A movie theater sends out a coupon for 30% off the price of a ticket. Write an equation
BartSMP [9]

Answer:

The equation is y= 0,65 x

Step-by-step explanation:

6 0
3 years ago
- If the area of a square is multiplied by nine, the area becomes 16 square inches. Find the
mojhsa [17]

Answer:

1⅓ inches

Step-by-step explanation:

Area = side² = x²

9(x²) = 16

x² = 16/9

x = 4/3 inches or 1⅓ inches

4 0
3 years ago
A family is relocating from St. Louis, Missouri, to California. Due to an increasing inventory of houses in St. Louis, it is tak
Nostrana [21]

Answer:

The lower bound of the 95% confidence interval for the mean sale time for all homes in the neighborhood is of 160 days.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.025 = 0.975, so Z = 1.96.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.96\frac{72}{\sqrt{22}} = 30

The lower end of the interval is the sample mean subtracted by M. So it is 190 - 30 = 160 days

The lower bound of the 95% confidence interval for the mean sale time for all homes in the neighborhood is of 160 days.

5 0
3 years ago
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