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abruzzese [7]
3 years ago
11

A rectangular prism has dimensions of 1/3, 3, and 5/3 in.

Mathematics
1 answer:
julsineya [31]3 years ago
5 0

Answer:

Step-by-step explanation:

The rectangular prism has a volume equal to V=xyz. V=(1/3)3(5/3)=5/3 in^3. The cube has a volume equal to V=s^3. The volume of the cube is equal to the prism when

s^3=(1/3)(3)(5/3)\\ \\ s^3=5/3\\ \\ s=\sqrt[3]{\frac{5}{3}}in\\ \\ s\approx 1.19in

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Write functions for each of the following transformations using function notation. Choose a different letter to represent each f
joja [24]

Answer:

1. Translation: g(x) = f(x-a)+b.

2. Reflection around y-axis: h(x) = f(-x)

3. Reflection around x-axis: k(x) = -f(x)

4. Rotation of 90° : R_{90} (x,y)=(-y,x)

5. Rotation of 180° : R_{180} (x,y)=(-x,-y).

6. Rotation of 270° : R_{180} (x,y)=(y,-x).

Step-by-step explanation:

Let us assume that the transformations namely translation, reflection are applied to a function f(x) and the rotation is applied to the point ( x,y ).

So, according to the options:

We know that 'translation moves the image in horizontal and vertical direction'.

1. As we have to translate the function f(x) 'a' units to the right and 'b' units up. So, the new form of the function becomes g(x) = f(x-a)+b.

Further, we know that 'reflection means to flip the image around a line'.

2. As, we have to reflect the function f(x) around y-axis. The new form of the function is h(x) = f(-x).

3. As, we have to reflect the function f(x) around x-axis. The new form of the function is k(x) = -f(x).

Since, 'rotation turns the image around a point to a certain degree'.

4. As, we have to rotate ( x,y ) counter-clockwise to 90° about the origin, the new form of the function is R_{90} (x,y)=(-y,x).

5. As, we have to rotate ( x,y ) counter-clockwise to 180° about the origin, the new form of the function is R_{180} (x,y)=(-x,-y).

6. As, we have to rotate ( x,y ) counter-clockwise to 270° about the origin, the new form of the function is R_{180} (x,y)=(y,-x).

5 0
3 years ago
4. A statistician working for the National Basketball Association supplies the television announcers with interesting statistics
Sonbull [250]

Answer: 0.038

Step-by-step explanation:

Given: Total games : n= 375

Number of games won by  the team that was winning the game at the end of the third quarter. = 300

The proportion (p) of the team that was winning the game at the end of the third quarter: p=\dfrac{300}{375}=0.8

Critical z-value for 90% confidence: z* = 1.645

Margin of error =z^*\sqrt{\dfrac{(1-p)p}{n}}

The margin of error in a 90% confidence interval estimate of p =1.645\sqrt{\dfrac{0.2\times0.8}{300}}\\= 1.645\times\sqrt{0.00053333}\\\\=1.645\times0.0231\\\\=0.0379995\approx$$0.038

Hence, the required margin of error = 0.038

7 0
3 years ago
Formula to find volume of a right triangular prism
ozzi
The formula is base x height
7 0
3 years ago
When Elyse moved last weekend, the circular glass top for an end table broke. To replace it, she bought a circular glass top wit
spin [16.1K]

Answer:

D

Step-by-step explanation:

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4 0
3 years ago
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What is the probability of randomly selecting a day of the week and not getting Monday?
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Days in a week n(S)=7

DAYS to not getting monday n(M)=6

probability P(M)=n(M)/n(S)

=6/7(ans)

6 0
3 years ago
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