Please help quick -2=2+ v/4

Find the area of a triangle whose vertices have the coordinates (-1,1) (-1,5) (4,1)

Alekssandra [29.7K]

The triangle that forms is a right-angled triangle. To work out the area, you just do the base × height, all divided by 2.

Therefore, you do 5 (the base) × 4 (the height) and you get 20.

Then you divide by 2 to finish the equation and you should find that the total area of the triangle is 10 units² (20 ÷ 2 = 10).

Hope that helps :)

7 0

2 years ago

53% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the

faltersainse [42]

Answer:

a

$P(X = 5) = 0.2423$

b

$P( X \ge 6 )= 0.4516$

c

$P( X < 4 )= 0.12694$

Step-by-step explanation:

From the question we are told that

The population proportion is p = 0.53

The sample size is n = 10

Generally the distribution of the confidence of US adults in newspapers follows a binomial distribution

i.e

$X \~ \ \ \ B(n , p)$

and the probability distribution function for binomial distribution is

$P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}$

Here C stands for combination hence we are going to be making use of the combination function in our calculators

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is exactly five is mathematically represented as

$P(X = 5) = ^{10}C_5 * 0.53^5 * (1- 0.53)^{10-5}$

=> $P(X = 5) = 252 * 0.04182 * 0.023$

=> $P(X = 5) = 0.2423$

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is at least six is mathematically represented as

$P( X \ge 6 )= P( X = 6) + P( X = 7) + P( X = 8) + P( X = 9) + P( X = 10)$

=> $P( X \ge 6 )= [^{10}C_6 * [0.53]^6 * (1- 0.53)^{10-6}] + [^{10}C_7 * [0.53]^7 * (1- 0.53)^{10-7}] + [^{10}C_8 * [0.53]^8 * (1- 0.53)^{10-8}] + [^{10}C_9 * [0.53]^9 * (1- 0.53)^{10-9}] + [^{10}C_{10} * [0.53]^{10} * (1- 0.53)^{10-10}]$

=> $P( X \ge 6 )= [0.227] + [0.1464] + [0.0619] + [0.0155] + [0.00082]$

=> $P( X \ge 6 )= 0.4516$

Generally the probability that the number of U.S. adults who have very little confidence in newspapers is less than four is mathematically represented as

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

=> $P( X < 4 )= [^{10}C_3 * 0.53^3 * (1- 0.53)^{10-3}] + [^{10}C_2 * 0.53^2 * (1- 0.53)^{10-2}] + [^{10}C_1 * 0.53^1 * (1- 0.53)^{10-1}] + [^{10}C_0 * 0.53^0 * (1- 0.53)^{10-0}]$

=> $P( X < 4 )= 0.09051 + 0.03 + 0.0059 + 0.000526$

=> $P( X < 4 )= 0.12694$

5 0

2 years ago

Two angles of a triangle measure 15° and 85°. What is the measure for the third angle

andrezito [222]

Answer: 80°

Step-by-step explanation:

The sum of the angles in a triangle is 180°. Since the two angles of a triangle measure 15° and 85°.

The measure for the third angle will be:

= 180° - (15° + 85°)

= 180° - 100°

= 80°

The third angle is 80°

4 0

2 years ago

\angle1=9x+5 what is angle 1?

Archy [21]

Answer:

x = -5/9

Step-by-step explanation:

9x + 5 = 0

x = -5/9

if this is incorrect then ur question is missing something

3 0

2 years ago

A line has a slope of 5 and passes through the point (-1,2).

Andreyy89

Answer:

Step-by-step explanation:

slope=m= 5

points=(-1,2)

By point-slope form:

$y$ - $y_{1}$ =m( $x-x_{1}$ )

Substitute the values in formula:

y-2=5(x+1) (It is the point slope form)

Now,

Slope intercept form:

y-2=5x+5

y=5x+5+2

y=5x+7

<h3>If you need to ask any questions, please let me know.</h3>

5 0

2 years ago