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2 years ago

Add. Express your answer in simplest mixed-number form. 2 3/4 + 4 3/4

Mathematics

1 answer:

Cerrena [4.2K]2 years ago

5 0

2 3/4 + 4 3/4
= 6 6/4
= 7 2/4
= 7 1/2

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If x = 5 and 5 = y, then x = y

garri49 [273]

You are right. Transitivity means, that:
if a = b and b = c, then a = c
(here a = x, b=5 and c = y).

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2 years ago

A rectangular pyramid has a volume of 160 cubic feet. Find two possible sets of measurements for the base area and height of the

muminat

$\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=area~of\\ \qquad its~base\\ h=height\\ \cline{1-1} V=160 \end{cases}\implies 160=\cfrac{Bh}{3}\implies 480=Bh \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} 480=&2\cdot 2\cdot 2\cdot 2\cdot 2\cdot 3\cdot 5\\ &8\cdot 60\\ &32\cdot 15 \end{cases}~\hspace{5em}\stackrel{B}{8}\times\stackrel{h}{60}\qquad \qquad \stackrel{B}{32}\times\stackrel{h}{15}$

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3 years ago

Jason has 208 baseball cards. This is 52 less than the number of cards that Robert has.

V125BC [204]

Answer:

B) R - 52 = 208

Step-by-step explanation:

Robert has 52 more cards than Jason, who has 208, so Robert has 208 + 52 cards. This can be turned into:

R = 208 + 52

then subtract 52 from both sides:

R - 52 = 208 + 52 - 52

R - 52 = 208

and that's the answer

4 0

2 years ago

Equation Practice with vertical angles Please solve for x

Harrizon [31]

Answer:

x=20

Step-by-step explanation:

These angles are vertical angles so they are equal.

7x-99 = 2x+1

Subtract 2x from each side

7x-2x -99 = 2x-2x+1

5x -99 =1

Add 99 to each side

5x-99+99 = 1+99

5x = 100

Divide each side by 5

5x/5 =100/5

x = 20

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2 years ago

A sample of 1000 college students at NC State University were randomly selected for a survey. Among the survey participants, 102

cupoosta [38]

Answer:

The upper endpoint of the 99% confidence interval for population proportion is 0.13.

Step-by-step explanation:

The confidence interval for population proportion is:

$CI=\hat p\pm z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

Given:

n = 1000

$\hat p$ = 0.102

$z_{\alpha /2}=z_{0.01/2}=z_{0.005}=2.58$

*Use the standard normal table for the critical value.

Compute the 99% confidence interval for population proportion as follows:

$CI=\hat p\pm z_{\alpha /2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\=0.102\pm 2.58\times\sqrt{\frac{0.102(1-0.102)}{1000}}\\=0.102\pm0.0248\\=(0.0772, 0.1268)\\\approx (0.08, 0.13)$

Thus, the upper limit of the 99% confidence interval for population proportion is 0.13.

6 0

2 years ago