A 4ft piece of pipe needs to be divided into pieces that are 2/3ft long. How many pieces are made? How many remaining?

What is the solution to the system of equations? Use the substitution method. {y=2x+43x−6y=3

garri49 [273]

We have that
y=2x+4--------> equation 1
3x−6y=3-------> equation 2

step 1
I substitute the value of y in equation 1 for the value of y in equation 2
so
3x−6*[2x+4]=3-------> 3x-12x-24=3
-9x=3+24
-9x=27------> 9x=-27
x=-27/9
x=-3

step 2
I substitute the value of x in equation 1 to get the value of y
y=2x+4--------> y=2*(-3)+4--------> y=-6+4
y=-2

the answer is
the solution is the point (-3,-2)
x=-3
y=-2

5 0

3 years ago

This year the CDC reported that 30% of adults received their flu shot. Of those adults who received their flu shot,

Vlad [161]

Using conditional probability, it is found that there is a 0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

Conditional Probability

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this problem:

Event A: Person has the flu.

Event B: Person got the flu shot.

The percentages associated with getting the flu are:

20% of 30%(got the shot).

65% of 70%(did not get the shot).

Hence:

$P(A) = 0.2(0.3) + 0.65(0.7) = 0.515$

The probability of both having the flu and getting the shot is:

$P(A \cap B) = 0.2(0.3) = 0.06$

Hence, the conditional probability is:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.06}{0.515} = 0.1165$

0.1165 = 11.65% probability that a person with the flu is a person who received a flu shot.

To learn more about conditional probability, you can take a look at brainly.com/question/14398287

7 0

2 years ago

The petronas towers in Kuala Lumpur, Malaysia, are 452 meters tall. A woman who is 1.75 meters tall stands 120 meters from the b

bazaltina [42]

Answer:

$75.1^{\circ}$

Step-by-step explanation:

In this problem, we have:

H = 452 m is the height of the Petronas tower

h = 1.75 m is the height of the woman

d = 120 m is the distance between the woman and the base of the tower

First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so

$H' = H-h = 452-1.75=450.25 m$

Now we notice that $d$ and $H'$ are the two sides of a right triangle, in which the angle of elevation is $\theta$ . Therefore, we can write the following relationship:

$tan \theta = \frac{H'}{d}$

since

H' represents the side of the triangle opposite to $\theta$

d represents the side of the triangle adjacent to $\theta$

Solving the equation for $\theta$ , we find the angle of elevation:

$\theta = tan^{-1}(\frac{H'}{d})=tan^{-1}(\frac{450.25}{120})=75.1^{\circ}$

3 0

2 years ago

Is D the right answer for this? Thank you! - Alyssa

vesna_86 [32]

We start by ordering the values.

5, 7, 8, 10, 13, 14, 17, 17, 21

Now we find the median(middle number).

Median(b): 13
(I added (b) for "base" since we need to take more medians)
The median now divides this data into two halves.

Now we take the medians of the two remaining halves.

Median(Half1): 7.5
Median(Half2): 17

Mark off the minimum and maximum.

Min: 5
Max: 21

Now graph!

Your median(Half1) is incorrect, since your median for the first half is 9. Since our median for the first half is 7.5, the answer would be Answer Choice C.

8 0

2 years ago

Need help please , I know the basic math. how do I solve this?

Mkey [24]

(7/15)/(3/5)
easy
(a/b)/(c/d)=(a/b)(d/c)
invert and multiply (what it does is it cancels the bottom and makes it one)
(7/15)/(3/5)=(7/15)(5/3)=35/45=7/9

answer is C

3 0

2 years ago

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