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nika2105 [10]
3 years ago
7

Noelle is making a rectangular place mat that is 15 inches wide and 18 inches long. What is the least amount of fabric that she

will need to make the place mat?
Mathematics
1 answer:
Serhud [2]3 years ago
7 0

Answer:

270 in

Step-by-step explanation:

the least amount of fabric she would need is equal to the area of the mat

the mat is in the shape of a rectangle

Area of a rectangle = length x width

15 x 18 = 270 in²

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When Nabhitha goes bowling, her scores are normally distributed with a mean of 115
frutty [35]

Answer:

By the Empirical Rule, in 99.7% of the games that Aubree bowls she scores between 148 and 232Step-by-step explanation:The Empirical Rule states that, for a normally distributed random variable:68% of the measures are within 1 standard deviation of the mean.95% of the measures are within 2 standard deviation of the mean.99.7% of the measures are within 3 standard deviations of the mean.In this problem, we have that:Mean = 190Standard deviation = 14Using the empirical rule, what percentage of the games that Aubree bowls does she score between 148 and 232?148 = 190 - 3*14So 148 is 3 standard deviations below the mean.232 = 190 + 3*14So 232 is 3 standard deviations above the meanBy the Empirical Rule, in 99.7% of the games that Aubree bowls she scores between 148 and 232

7 0
2 years ago
Please help mee, (30 points will give brainliest!!!)
Vadim26 [7]

Answer:

-4

+3

12

-0.5, 12.25

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Step-by-step explanation:

The x intercepts are the values of x when y = 0 ie the roots of the equation
-x^2 -x +12 = 0

or

x^2  + x  - 12 = 0

We can re-write the above as:
(x+4) (x-3) = 0
This gives the two roots as x = -4 and x = +3. Leftmost (smallest) root is -4 and rightmost(largest) root is +3

y intercept is when x = 0. Plugging into the original equation, y value at x = 0 is 12

Vertex x value is given by the formula -b/2a where a is the coefficient of x^2 and b the coefficient of x

Here a = -1, b= -1 so vertex x value = - (-1)/(-1).2 = - 1/2 = -0.5

Plugging this value of x into the original function gives the vertex y value
y = - (0.5^{2}) - (-0.5) + 12\\= -0.25 + 0.5 + 12 = 12.25

The line of symmetry is the vertical line corresponding to the vertex x value so line of symmetry is at x = -0.5

The graph of the quadratic function shows these values

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2 years ago
Select the correct answer what is the range of the function shown in the graph?
Vedmedyk [2.9K]

Answer:

In the step by step

Step-by-step explanation:

Graph 1 : k(x)=(1/4)^x

Graph 2: f(x)=-(1/4)^x

Graph 3: g(x)=4^x

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