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S_A_V [24]
2 years ago
13

NEED HELP ASAP, PLEASE

Mathematics
2 answers:
kozerog [31]2 years ago
6 0

Answer:

3

Step-by-step explanation:

8x and 7x + 3 are vertically opposite angles.

Vertically opposite angles are equal,

8x = 7x + 3

8x - 7x = 3

x = 3

ch4aika [34]2 years ago
5 0

Answer:

DCE=156°

Step-by-step explanation:

8x=7x+3

8x-7x=3

x=3

BCD+DCE=180

8x+DCE=180

24+DCE=180

DCE=180-24

DCE=156°

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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.

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3 years ago
Which sequence of transformations would result in an image that is similar and non-congruent to the pre-image? Assume that any s
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a, b, c, and e.

Step-by-step explanation:

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3 years ago
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Well, you could easily type that into a calculator, but the answer would be 0.04347826, but when you say it as an answer you say the answer up to the hundredths place, which would be 0.043. =)
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The answer is 5 inches, you can find this by solving for r and plugging in the volume of the sphere for V and the pi would cancel out so it would be 500/3 * 3/4 and then you cube root it
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