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scoray [572]
3 years ago
11

Roman and Ranjan each divided 3.56 by 0.72. Roman got 4.94 for his quotient. Which student divided correctly? How do you know? E

XPLAIN IT! no scaming me >=-(
Mathematics
1 answer:
Nadusha1986 [10]3 years ago
7 0
Roman divided correctly. A quotient is basically the answer you get after dividing. After you divide 3.56 by .72 you get 4.92, meaning Roman is correct.
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According to a study done by Wakefield Research, the proportion of Americans who can order a meal in a foreign language is 0.47.
UNO [17]

Answer:

Probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is 0.19766.

Step-by-step explanation:

We are given that according to a study done by Wake field Research, the proportion of Americans who can order a meal in a foreign language is 0.47.

Suppose a random sample of 200 Americans is asked to disclose whether they can order a meal in a foreign language.

<em>Let </em>\hat p<em> = sample proportion of Americans who can order a meal in a foreign language</em>

The z-score probability distribution for sample proportion is given by;

          Z = \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }  ~ N(0,1)

where, \hat p = sample proportion

p = population proportion of Americans who can order a meal in a foreign language = 0.47

n = sample of Americans = 200

Probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is given by = P( \hat p > 0.50)

  P( \hat p > 0.06) = P( \frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } } > \frac{0.5-0.47}{\sqrt{\frac{0.5(1-0.5)}{200} } } ) = P(Z > 0.85) = 1 - P(Z \leq 0.85)

                                                               = 1 - 0.80234 = <u>0.19766</u>

<em>Now, in the z table the P(Z  </em>\leq <em>x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.85 in the z table which has an area of 0.80234.</em>

Therefore, probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is 0.19766.

4 0
3 years ago
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V125BC [204]

Answer:

true

Step-by-step explanation:

sinA² + cosA²=1

⇔(1/2)² + cosA²=1

⇔cosA=±(√3/2)

7 0
3 years ago
Use the commutative property to simplify -7/16-1/4-5/16
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Correct. Use the commutative property<span> to rearrange the expression so that compatible numbers are next to each other, and then </span>use the associative property<span> to group them. Incorrect. Check your addition and subtraction, and think about the order in which you are adding these numbers.</span>
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miv72 [106K]

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:


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