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3 years ago

Given Δ ABD ≅ ΔEBD, what can you conclude?

Mathematics

2 answers:

Anna71 [15]3 years ago

8 0

You can conclude that AE = DE because the triangles are about equal

zloy xaker [14]3 years ago

8 0

Answer:

the answer is D

Step-by-step explanation:

I just finished the test

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The probability that a person will develop the flu after getting a flu shot is 0.04. In a random sample of 100 people in a commu

Colt1911 [192]

Answer:

0.3711 = 37.11% probability that 5 or more of the 100 people will get the flu

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they will develop the flu after getting the shot, or they will not. The probability of a person developing the flu after getting the shot is independent of any other person, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability that a person will develop the flu after getting a flu shot is 0.04.

This means that $p = 0.04$

Random sample of 100 people:

This means that $n = 100$

What is the probability that 5 or more of the 100 people will get the flu?

This is:

$P(X \geq 5) = 1 - P(X < 5)$

In which

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)$

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{100,0}.(0.04)^{0}.(0.96)^{100} = 0.0169$

$P(X = 1) = C_{100,1}.(0.04)^{1}.(0.96)^{99} = 0.0703$

$P(X = 2) = C_{100,2}.(0.04)^{2}.(0.96)^{98} = 0.1450$

$P(X = 3) = C_{100,3}.(0.04)^{3}.(0.96)^{97} = 0.1973$

$P(X = 4) = C_{100,4}.(0.04)^{4}.(0.96)^{96} = 0.1994$

Then

$P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.0169 + 0.0703 + 0.1450 + 0.1973 + 0.1994 = 0.6289$

$P(X \geq 5) = 1 - P(X < 5) = 1 - 0.6289 = 0.3711$

0.3711 = 37.11% probability that 5 or more of the 100 people will get the flu

7 0

3 years ago

What’s the slope of this line?

n200080 [17]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Meters<br> kilometers<br> 1<br> 8,000<br> 20

dusya [7]

Answer:

1800.02 kilometers

Step-by-step explanation:

1 kilometer = 1000 meters

1800020 meters = 1800.02 kilometers

7 0

3 years ago

Someone help me please

GenaCL600 [577]

Answer:

3x + 5y = 15

Find gradient:

coordinates taken: (5, 0), (0, 3)

$\rightarrow \sf \dfrac{y_2-y_1}{x_2-x_1}$

$\rightarrow \sf \dfrac{3-0}{0-5}$

$\rightarrow \sf -\dfrac{3}{5}$

Here the y-intercept: 3

gradient: -3/5

equation:

$\sf \bold{ y = m(x) + b}$

$\rightarrow \sf y = -\dfrac{3}{5} x + 3$

$\rightarrow \sf y = -\dfrac{3}{5} x + \dfrac{15}{5}$

$\rightarrow \sf 5y =-3x+15$

$\rightarrow \sf 3x+5y =15$

4 0

2 years ago

Read 2 more answers

Help pleaseeeee ASAP

dem82 [27]

Answer:

9 cm

Step-by-step explanation:

The volume of a square based pyramid is given as :

V = 1/3a²h

Where ; a = base edge ; h = Height

Volume, V = 48 cm³ ; a = 4cm

48 = 1/3 * 4² * h

48 = 1/3 * 16h

48 * 3 = 16h

144 = 16h

h = 144 / 16

h = 9 cm

Height = 9cm

3 0

3 years ago