All categories

3 years ago

1.The triangle ABC has the vertices A(-9, -3) B(1. -3), C(-9, 6)

Mathematics

1 answer:

Nina [5.8K]3 years ago

3 0

Answer:

1. A

2. D

3. D

4. C

Hope this helps! :)

You might be interested in

Find the Arc Length and Sector Area

gulaghasi [49]

Answer:

Need points

Step-by-step explanation:

Need points

5 0

3 years ago

Construct the discrete probability distribution for the random variable described. Express the probabilities as simplified fract

lisov135 [29]

Answer:

$P(X = 0) = 0.03125$

$P(X = 1) = 0.15625$

$P(X = 2) = 0.3125$

$P(X = 3) = 0.3125$

$P(X = 4) = 0.15625$

$P(X = 5) = 0.03125$

Step-by-step explanation:

For each toss, there are only two possible outcomes. Either it is tails, or it is not. The probability of a toss resulting in tails is independent of any other toss, 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.

Fair coin:

Equally as likely to be heads or tails, so $p = 0.5$

5 tosses:

This means that $n = 5$

Probability distribution:

Probability of each outcome, so:

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

$P(X = 0) = C_{5,0}.(0.5)^{0}.(0.5)^{5} = 0.03125$

$P(X = 1) = C_{5,1}.(0.5)^{1}.(0.5)^{4} = 0.15625$

$P(X = 2) = C_{5,2}.(0.5)^{2}.(0.5)^{3} = 0.3125$

$P(X = 3) = C_{5,3}.(0.5)^{3}.(0.5)^{2} = 0.3125$

$P(X = 4) = C_{5,4}.(0.5)^{4}.(0.5)^{1} = 0.15625$

$P(X = 5) = C_{5,5}.(0.5)^{5}.(0.5)^{0} = 0.03125$

5 0

3 years ago

PLZ HELP ASAP

AleksAgata [21]

2075-1195=880$ is the amount of increase

880/1195=0,74 now you only need to multiply with 100
0,74*100=74%
So the price increased by 74%

7 0

3 years ago

Round to 0, 1/2, or 1<br><br> 12/15 rounds to

Korvikt [17]

Question is confusing but 12/15 divides to 4/5 or rounds to 1

8 0

3 years ago

Read 2 more answers

Use the Law of Sines to find the missing angle of the triangle. Find m<b to the nearest tenth.

defon

1. By the Law of Sines, you have:

SinA/a=SinB/b=SinC/c

2. You don't need the fraction SinC/c, so you can eliminate it. Then:

SinA/a=SinB/b

A=40°
a=19
B=m∠b
b=13

3. When you substitute this values into SinA/a=SinB/b, you obtain:

SinA/a=SinB/b
Sin(40°)/19=SinB/13
SinB=13xSin(40°)/19
m∠b=SinB^-1(13xSin(40°)/19)
m∠b=26.1°

Therefore, the answer is: 26.1 degrees.

6 0

3 years ago