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Natali [406]
3 years ago
14

Write an equation for the transformation of y = x.

Mathematics
1 answer:
Ivanshal [37]3 years ago
7 0

Answer:

отлично вы молодец болшая у вас всё правилно

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Which relation is a function?<br> A: a circle <br> B: a Y<br> C: a C<br> D: a line
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B.

Step-by-step explanation:

The vertical line test is what I used to test this.

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Subtract 10 from h, then triple the result
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-2x + 5y=12 for y helpp plsss
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In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th
marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

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

Where:

\hat{p} is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

z_{\alpha /2} is the critical value needed to find the tails of distribution related to the confidence level,

n is the sample's size.

<u>First</u> we compute the \hat{p} value:

\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

z_{\alpha /2}=2.576

Now we can replace in the formula with the obtained values to compute the confidence interval:

\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)

5 0
3 years ago
Suppose a three-seat city council election. For each seat, one progressive and one conservative is running, and voters must choo
Kitty [74]

Answer:

The probability that conservative party wins all 3 seats is 0.216

The probability that conservative party wins exactly two seats is 0.432

Step-by-step explanation:

Consider the provided information.

The probability of a conservative candidate winning is p=0.6.

The probability of one progressive candidate will win is: 1-0.6=0.4

Part (a) What is the probability that the conservative party wins all three seats?

According to binomial distribution: b(x; n, p) =^nC_xp^x(1- p)^{n-x}

P(x=3) =^3C_3(0.6)^3 (0.4)^{3-3}

P(x=3) =(0.6)^3

P(x=3)=0.216

P(conservative party wins all 3 seats) = 0.216

Hence, the probability that conservative party wins all 3 seats is 0.216

Part (a) What is the probability that the conservative party wins exactly two seats?

P(x=2) =^3C_2(0.6)^2 (0.4)^{3-2}

P(x=2) =3(0.36)(0.4)

P(x=2) =0.432

Hence, the probability that conservative party wins exactly two seats is 0.432

5 0
3 years ago
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