If a person drives for 3 hours at the speed 65mph how far will they drive

In triangle ABC, m∠ABC = (4x – 12)° and

VashaNatasha [74]

The value of ∠ABC is 64 degree at x = 19 degree ,therefore Yin is not right about the value of x .

<h3>What is a Triangle ?</h3>

A triangle is a polygon with three sides , angles and vertices.

It is given that

m∠ABC = (4x – 12)°

m∠ACB = (2x + 26)°

Let m∠ACB = y degree

It is asked that if x =19 degree , is the triangle equilateral

m∠ABC = (4x – 12)° = 4 *19 -12 = 64 degree

As in an equilateral triangle , the angles are all equal and equal to 60 degree.

If the value of ∠ABC is 64 degree at x = 19 degree ,therefore Yin is not right about the value of x .

To know more about Triangle

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8 0

1 year ago

I need help with 4 and 5

krok68 [10]

4)
area of figure = bh = 8x10 = 80
same as a trapezoid have base 6 and 14 and height 8
because A of trapezoid = 1/2(6+14)*8 = 80
so answer is C
a trapezoid with bases of 6 mm and 14 mm and a height of 8 mm

5)
area of original figure A = bh = 8 x 10 = 80
if double h = 16 and b = 20 then A = 16 x 20 = 320
the area is quadrupled.

answer is C.
The area is quadrupled

3 0

3 years ago

10. A random sample of 10 fibers is taken from a collection of 92 fibers that consists of 43 fibers of polymer A, 17 fibers of p

vazorg [7]

Answer:

0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B

Step-by-step explanation:

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

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

In this question:

Fibers are chosen without replacement, which means that we use the hypergeometric distribution.

92 fibers means that $N = 92$

Sample of 10 means that $n = 10$

No polymeter B which means that $x = 0$

17 fibers of polymeter B which means that $k = 17$

a. What is the probability that the sample does not contain any fibers of polymer B

This is P(X = 0).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 0) = h(0,92,10,17) = \frac{C_{17,0}*C_{75,10}}{C_{92,10}} = 0.1150$

0.1150 = 11.50% probability that the sample does not contain any fibers of polymer B

4 0

2 years ago

A 12-foot ladder rests against the side of a house. The base of the ladder is 3 feet away from the side of the house. How high a

Triss [41]

Answer:

3.root 15 feet

Step-by-step explanation:

To solve this problem, we will use Pythagorean’s theorem. Now let’s visualize a right angled triangle in which the hypotenuse stands for the total ladder length and the base of the ladder standing away from the wall is say the adjacent.

The length of the ladder is the opposite which is the last side of the complete triangle.

Hence, to find this side we use s^2 = 12^2 - 3^2

S^2 = 144 -9

S^2 = 135

S= square root of 135 = 3.root15 feet

4 0

3 years ago

Which of the following is a measure of variation for a numerical data set ? Plz help

kipiarov [429]

I’m pretty sure it would be interquartile range, since range is the measure that measures variation within a data set.

5 0

3 years ago