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2 years ago

NEED AN ANSWER SOON

Mathematics

2 answers:

Zina [86]2 years ago

4 0

Answer:

3/2

Step-by-step explanation:

Yakvenalex [24]2 years ago

4 0

Answer : 3/2

To find the slope you would use the slope formula which is (y2-y1) / (x2-x1).

(8-2) / (7-3)

m = 3/2

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in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine

makkiz [27]

Answer:

$\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}$

Step-by-step explanation:

Step 1: Define significance level

In this hypothesis testing problem, significance levels α is selected: $0.05$ , the associated z-value from Laplace table:

Φ( $z$ ) = α - $0.5 = 0.05 - 0.5 = -0.45$

=> $z$ = $-1.645$

Step 2: Define null hypothesis ( $H_{0}$ ) and alternative hypothesis ( $H_{1}$ )

$H_{0}$ : rate of flu infection $p$ = 8.3% or 8.3/100 = 0.083

$H_{1}$ : rate of flu infection $p$ < 8.3% or 8.3/100 = 0.083

Step 3: Apply the formula to check test statistic:

$K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}$

with $f$ is actual sampling percent, $p$ is rate of flu infection of $H_{0}$ , $n$ is number of samples.

The null hypothesis will be rejected if $K < z$

Step 4: Calculate the value of K and compare with $z$

$K = \frac{(\frac{3.5}{100}) - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46$

We have $-2.46 < -1.645$

=>This is good evidence to reject null hypothesis.

=> The actual rate is lower. (As $H_{1}$ states)

Hope this helps!

5 0

3 years ago

Central City High's basketball team will be entering the playoffs at the end of their regular season. There will be 3 other team

11Alexandr11 [23.1K]

Answer:

99<x<315

Step-by-step explanation:

4 0

2 years ago

Four cards are dealt from a standard fifty-two-card poker deck. What is the probability that all four are aces given that at lea

elena-s [515]

Answer:

The probability is 0.0052

Step-by-step explanation:

Let's call A the event that the four cards are aces, B the event that at least three are aces. So, the probability P(A/B) that all four are aces given that at least three are aces is calculated as:

P(A/B) = P(A∩B)/P(B)

The probability P(B) that at least three are aces is the sum of the following probabilities:

The four card are aces: This is one hand from the 270,725 differents sets of four cards, so the probability is 1/270,725

There are exactly 3 aces: we need to calculated how many hands have exactly 3 aces, so we are going to calculate de number of combinations or ways in which we can select k elements from a group of n elements. This can be calculated as:

$nCk=\frac{n!}{k!(n-k)!}$

So, the number of ways to select exactly 3 aces is:

$4C3*48C1=\frac{4!}{3!(4-3)!}*\frac{48!}{1!(48-1)!}=192$

Because we are going to select 3 aces from the 4 in the poker deck and we are going to select 1 card from the 48 that aren't aces. So the probability in this case is 192/270,725

Then, the probability P(B) that at least three are aces is:

$P(B)=\frac{1}{270,725} +\frac{192}{270,725} =\frac{193}{270,725}$

On the other hand the probability P(A∩B) that the four cards are aces and at least three are aces is equal to the probability that the four card are aces, so:

P(A∩B) = 1/270,725

Finally, the probability P(A/B) that all four are aces given that at least three are aces is:

$P=\frac{1/270,725}{193/270,725} =\frac{1}{193}=0.0052$

5 0

3 years ago

Làm ơn hãy giúp tôi (a+b)² (a-b)²

marysya [2.9K]

Answer:

$(a + b) ^{2} = {a}^{2} + 2ab + {b}^{2} \\ (a - b) ^{2} = {a {}^{2} - 2ab + {b}}^{2}$

Step-by-step explanation:

hopethe answer helped you :)

8 0

2 years ago

Read 2 more answers

Examine triangle ABC. What is the value of x? 37 48 127 138

Flura [38]

The outside angle of B needs to equal 180 - 79 = 101 degrees.

The 3 outside angles of a triangle need to equal 360 degrees.

Set up the equation with what we know:

X + (x+5) + 101 = 360

Simplify:

2x + 106 = 360

Subtract 106 from both sides:

2x = 254

Divide both sides by 2:

x = 254 / 2

x = 127

4 0

2 years ago