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ki77a [65]
4 years ago
5

Consider circle Y with radius 3 m and central angle XYZ measuring 70°. What is the approximate length of minor arc XZ? Round to

the nearest tenth of a meter.
Mathematics
2 answers:
Lorico [155]4 years ago
7 0
R = A / tetha

70° × pi/180 = radian
radian = 1.222 rad

3 = A / 1.222
Arc = 3.7 meter

i am a mathematics teacher. if anything to ask please pm me
Elena L [17]4 years ago
3 0

r = A / tetha

70° × pi/180 = radian

radian = 1.222 rad

3 = A / 1.222

Arc = 3.7 meter

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disa [49]

Answer:

for a the answer is 5 for b also 5 (the solution is also the same but the = sign will be >) and for c is true

Step-by-step explanation:

for a so its 2x=10 you divide it like this

<h3><u>2x</u>=<u>10</u></h3><h3>2    2 so the answer will be</h3><h3>x=5 so you mark 5</h3>
3 0
3 years ago
The 2004 presidential election exit polls from the critical state of Ohio provided the following results. There were 2020 respon
lord [1]

Answer: a)  0.490\leq p\leq0.582

b)  0.501\leq p

Step-by-step explanation:

Given : Sample size of respondents in the exit polls  : n= 2020

Number of respondents voted for George Bush = 412

Sample proportion: \hat{p}=\dfrac{412}{768}\approx0.536

a) Critical value for 99% confidence level : z_{\alpha/2}=2.576

Confidence interval for proportion:-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

=0.536\pm (2.576)\sqrt{\dfrac{0.536(1-0.536)}{768}}\\\\=0.536\pm0.046\\\\=(0.490,\ 0.582)

Hence, the 99% confidence interval for the proportion of college graduates in Ohio that voted for George Bush: 0.490\leq p\leq0.582

b) Critical value for 95% confidence level : z_{\alpha/2}=1.96

Lower confidence bound for the proportion :

\hat{p}- z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.536-(1.96)\sqrt{\dfrac{0.536(1-0.536)}{768}}\\\\=0.536-0.035=0.501

Hence,  a 95% lower confidence bound for the proportion of college graduates in Ohio that voted for George Bush : 0.501\leq p

7 0
3 years ago
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Monica [59]
24/2=12

The unit rate is 12 packets per pound.

Hope this helps!
6 0
3 years ago
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The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers.
labwork [276]

Answer:

30

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A player answers x correct questions and y incorrect questions for a total of 40 questions.

x + y = 40

The score is obtained by subtracting y incorrect answers from two times the x of correct answers.  The player's score is 50.

2x - y = 50

Use substitution to solve.  Rearrange the first equation so that it is equal to y.  Then, substitute the y-value into the second equation.

x + y = 40

y = 40 - x

2x - y = 50

2x - (40 - x) = 50

2x - 40 + x = 50

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Since x was made to represent correct answers, the player had 30 correct answers.

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Nostrana [21]

Answer:

it is equal because in a rectangle there is a property: opposite sides are equal so BD=CA

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