Please help thanks :)

Josh is hiking Glacier National Park. He has now hiked a total of 17 km and is 2 km short of being half of the way done with thi

poizon [28]

Hello!

What we know so far is that Josh has hiked 17km. He is 2km short of being half way done with the hike.

To solve this, we must add 17 and 2 (to find the kilometers that he has hiked and the kilometers that he needs to hike to reach half way.)
17+2= 19

Now we know that 19km is exactly halfway in Josh's hike.
To find the total amount of km in Josh's hike, we must multiply 19 by two. (Half way times two = total amount)

19x2= 38

The total amount of kilometers in Josh's hike is 38km.

I hope this helps you!!

8 0

3 years ago

Find the value of x using SohCahToa.

AlexFokin [52]

Answer:

$x=6.55\ units$

Step-by-step explanation:

we know that

In the right triangle of the figure

The cosine of the angle of 35 degrees is equal to divide the adjacent side to the angle of 35 degrees by the hypotenuse

so

$cos(35^o)=\frac{x}{8}$ -----> by CAH

solve for x

$x=(8)cos(35^o)$

$x=6.55\ units$

4 0

4 years ago

Find me X please i will give you 15 points

Fantom [35]

Answer:

x=145

Step-by-step explanation:

A circle have at max 360 degrees.

$40 + 85 + 90 + x = 360$

$125 + 90 + x = 360$

$215 + x = 360$

$x = 145$

6 0

3 years ago

Read 2 more answers

How many solutions does this<br>quadratic have?<br>f(x) = -4x2 + 12x - 9

BartSMP [9]

Answer:

one, (1.5, 0)

Step-by-step explanation:

4 0

3 years ago

A computer retail store has 1414 personal computers in stock. A buyer wants to purchase 33 of them. Unknown to either the retail

Lorico [155]

Answer:

a) 364 ways

b) 45.33% probability that exactly one of the computers will be defective.

c) 54.67% probability that at least one of the computers selected is defective.

Step-by-step explanation:

The computers are chosen without replacement, so we use the hypergeometric distribution to solve this question.

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:

14 computers, so N = 14.

3 defective, so k = 3.

3 will be purchesed, so n = 3.

A) In how many different ways can the 3 computers be chosen?

3 from a set of 14. So

$C_{14,3} = \frac{14!}{3!(14-3)!} = 364$

364 ways

B) What is the probability that exactly one of thecomputers will be defective?

This is P(X = 1).

$P(X = 1) = h(1,14,3,3) = \frac{C_{3,1}*C_{11,2}}{C_{14,3}} = 0.4533$

45.33% probability that exactly one of the computers will be defective.

C) What is the probability that at least one of the computers selected is defective?

Either none is, or at least one is. The sum of the probabilities of these events is 1. So

$P(X = 0) + P(X \geq 1) = 1$

We want $P(X \geq 1)$ . Then

$P(X \geq 1) = 1 - P(X = 0)$

In which

$P(X = 0) = h(0,14,3,3) = \frac{C_{3,0}*C_{11,3}}{C_{14,3}} = 0.4533$

$P(X \geq 1) = 1 - P(X = 0) = 1 - 0.4533 = 0.5467$

54.67% probability that at least one of the computers selected is defective.

5 0

3 years ago