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allsm [11]
3 years ago
14

19. Subtract: 5 - 3 1/3 A. 3 1/3 B. 2 1/3 C. 1 2/3 D. 2 2/3

Mathematics
1 answer:
earnstyle [38]3 years ago
4 0
Answer:

C. 1 2/3

Step-by-step explanation:

5 - 3 1/3

We can also convert 5 into a fraction with the same denominator like this:

Since we’re trying to make 5 a fraction with a denominator of 3, leave 4 as the whole number and 3/3 as the fraction

4 3/3

4 3/3 = 5 because 3/3 = 1 and 4 + 1 = 5

Now we can subtract!

4 3/3 - 3 1/3 = 1 2/3

Step 1. Subtract the whole numbers

Step 2. Subtract the numerator

Step 3. Leave the answer with the same denominator
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Rectangle A measures 8 inches by 4 inches. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that
Anna007 [38]

Answer:

Step-by-step explanation:

Rectangle A measures 8 inches by 4 inches. Rectangle B is a scaled copy of Rectangle A. Select all of the measurement pairs that could be the dimensions of Rectangle B.

15 inches by 11 inches

6 inches by 3 inches

18

6 inches by 2 inches

12

16 inches by 8 inches

10 inches by 5 inches

15 inches by 7.5 inches

10 inches by 6 inches

8 0
3 years ago
Evaluate ,where e is the solid that lies between the cylinders x^2+y^2=1 and x^2+y^2=16, above the xy-plane, and below the plane
MA_775_DIABLO [31]
Assuming you're just computing the volume, i.e.

\displaystyle\iiint_E\mathrm dV

we should convert to cylindrical coordinates first, setting

\begin{cases}x=r\cos\theta\\y=r\sin\theta\\z=\zeta\end{cases}

so that the volume is given by

\displaystyle\iiint_E\mathrm dx\,\mathrm dy\,\mathrm dz=\int_{\theta=0}^{\theta=2\pi}\int_{r=1}^{r=4}\int_{\zeta=0}^{\zeta=r\sin\theta+4}r\,\mathrm d\zeta\,\mathrm dr\,\mathrm d\theta

which has a value of 60\pi.
3 0
3 years ago
A manufacturer of college textbooks is interested in estimating the strength of the bindings produced by a particular binding ma
IrinaVladis [17]

Answer:

538 books should be tested.

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{1-0.99}{2} = 0.005

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

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

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.

How many books should be tested to estimate the average force required to break the binding to within 0.08 lb with 99% confidence?

n books should be tested.

n is found when M = 0.08

We have that \sigma = 0.72

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

0.08 = 2.575*\frac{0.72}{\sqrt{n}}

0.08\sqrt{n} = 2.575*0.72

\sqrt{n} = \frac{2.575*0.72}{0.08}

(\sqrt{n})^{2} = (\frac{2.575*0.72}{0.08})^{2}

n = 537.1

Rounding up

538 books should be tested.

6 0
3 years ago
|n+2|=4 need help please
4vir4ik [10]

Are you trying to find n?

7 0
3 years ago
What is the volume of the right rectangular prism? Enter your answer in the box.​
Nutka1998 [239]

Answer:

1000 cm²

Step-by-step explanation:

Given:

  • Length = 10 cm
  • Width = 12.5 cm
  • Height = 8 cm

<u>Formula:</u>

\text{Volume = Length} \times \text{Width} \times \text{Height}

Substitute the length, width, and the height of the prism to determine the volume of the prism.

\implies \text{Volume = 10} \times 12.5 \times 8

Simplify the right hand side of the equation, as needed;

\implies \text{Volume = 10} \times 12.5 \times 8

\implies \text{Volume =}\ 125 \times 8

\implies \boxed{\text{Volume =}\ 1000 \ \text{cm}^{2} }

Therefore, the volume of the prism is 1000 cm².

7 0
2 years ago
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