Which is the solution to the equation 0.5X+4.2=5.9? Round to the nearest tenth if necessary.
O 0.9
3.4
5.1
20.2

Answer:

Since the taxis are heading directly towards each other, we will assume the path between them to be a straight line

We have 2 taxis coming towards each other, which means that we have 2 observers in this system

so from now on, we will see this situation from the eyes of the driver coming at the speed of 40mph

Now imagine yourself in a car. if you are in a moving car, a tree outside will look like it is moving in the opposite direction and it will be doing so at the same speed as the speed of your car and we will always feel like we are at rest

so, we can say that when we are in a car, the objects coming towards us will have our car's velocity added to their velocity, as in the above case, the speed of the tree is 0mph and your speed is v mph, which causes the tree to move back at a velocity of v mph

Now, back to the question. we are in a car moving at a speed of 40 mph and there is a car coming towards us is moving at a speed of 27 mph

If we look at the situation from the eyes of the driver of the car moving at a velocity 40 mph,

he is at rest and the other car is moving at a velocity of (40 + 27) = 67 mph

So, from the frame of reference of the 40mph driver, the other car is moving at 67 mph and the time taken by a car moving at 67 mph to cover 7 miles is the time in which the taxis will meet

Hence, time taken by a 67 mph car to cover 7 miles

time = distance / speed

time = 7 / 67

time = 0.1 hour (approx) or 6 minutes

Therefore, the taxis will meet after 6 minutes

Answer:

5.4%

Hope This Helps!

Answer:

3,840 cubic feet

Step-by-step explanation:

V=LWH

V= 40X24X4

V=3,840 cubic feet

Answer:

I'm pretty sure the answer is C

Answer:

It is A

Step-by-step explanation:

Answer:

8+y

Step-by-step explanation:

Sum means that you are adding the constant 8 and the variable y.

Hope this helps!!

Answer:

8 + y

Step-by-step explanation:

"sum" means you are performing addition or adding two quantities/values together

Therefore, the "sum" of "8 and y" is just adding 8 and y together

You just put a plus sign between 8 and y to add them together, so you get 8 + y.

Hope this helps!

:)  

Answer:

4

Step-by-step explanation:

Answer: it should be the first one!! :)

Step-by-step explanation:

Answer:its the first one

Step-by-step explanation:did the test

Answer:

13

Step-by-step explanation:

4+(-3)-2*(-6)

4-3-2*-6

1-(-12)

1+12

13

Answer: 13

Step-by-step explanation:

I Had The Same Problem So Try And Its Gonna Be Right.

Answer:

Step-by-step explained :

Answer:

[tex]x\leq -1[/tex]

Step-by-step explanation:

1. [tex]7x\leq 7-14[/tex]

2.[tex]7x\leq -7[/tex]

3. divide both sides by 7

4. [tex]x\leq -1[/tex]

Closed circle on -1 and the line goes to the left

Step-by-step explanation:

the answer is 4 there are these steps you need to do this but I am not going to sit hee for an hour and tell you how to solve this answer so that is the answer

Answer:

THE CORRECT ANSWER IS A.

Step-by-step explanation:

Answer:

Step-by-step explanation:

in a triangle, the sum of all angles is 180 (angle sum theorem). so use the equation 180=50+80+10x. then solve

1. combine like terms

it becomes 180=130+10x

2. subtract 130 from both sides

it becomes 50=10x

3. divide both sides by 10

it becomes 5=x

so, x=5

hope this helped :)

Answer:

1

Step-by-step explanation:

f(-3/5)=-5(-3/5)-2

f(-3/5)=3-2

f(-3/5)= 1

Answer:

20000

Step-by-step explanation:

10 * 10       =     100

100 / 5      =     20

20 * 1000 =     2000

Answer:

The model below represents an equation. Which value of x makes the value true?

x=

Step-by-step explanation:The model below represents an equation. Which value of x makes the value true?

x=

Answer:8

Step-by-step explanation: 4x6=28

28 divided by 4 = 8

Answer:

Step-by-step explanation:

-5 is a real number, right ?

- (-5) = 5 is not negative

thanks

Answer:

Ive seen lots of these and just saw this one too but this actually really does help so thankyou for passing it on ily too<3

Step-by-step explanation:

Answer:

Huh now?

Step-by-step explanation:

I am sorry but I do not understand

Answer:

y= -1/2 x + 1

Step-by-step explanation:

The line passes through point (0, 1) and is perpendicular to line with equation :

y=2x

Perpendicular lines are those that give -1 when the product of their slopes is calculated.

This means m₁ *m₂= -1

In this case, m₁=2, finding m₂ as;

m₁ * m₂ = -1

2  * m₂ = -1

      m₂ = -1/2

Using point  (0, 1),m₂ = -1/2, and imaginary line (x, y) then the equation of the line in slope-intercept form y= mx + b will be;

-1/2 = y-1/x-0

-1/2 x = y-1

1-1/2x = y

The equation will be ;

y= -1/2 x + 1

Answer:

Mean =[tex]\sum x P(x) = 36.86[/tex]

Standard deviation =[tex]\sum x^2P(X)=1360.9[/tex]

Step-by-step explanation:

x          P(x) [tex]x \times P(x)[/tex]       [tex]x^2 \times P(x)[/tex]

33         0.02     0.66          21.78

34          0.06     2.04         69.36

35           0.1      3.5        122.5

36           0.2      7.2         259.2

37           0.24     8.88        328.56

38           0.26     9.88        375.44

39            0.1     3.9         152.1

40            0.02     0.8         32

             1        36.86      1360.9

We are supposed to find mean and standard deviation

Mean =[tex]\sum x P(x) = 36.86[/tex]

Standard deviation =[tex]\sum x^2P(X)=1360.9[/tex]

Answer:

  the product of the two numbers

Step-by-step explanation:

The LCM of two numbers is their product, divided by their GCF. If their GCF is 1, then the LCM will be their product. That is the most it can be.

__

We assume you're concerned with whole numbers. For rational numbers, the GCF may be a fraction, so the LCM may be larger than the product of the numbers.

  LCM(5, 6) = 5·6/GCF(5, 6) = 5·6/1 = 30

  LCM(1/2, 3/4) = (1/2)(3/4)/GCF(1/2, 3/4) = (3/8)/(1/4) = 3/2

Answer:

[tex]\sqrt{1}[/tex], 1.23, 5/4, [tex]\sqrt{3}[/tex], 1.9, 11/3

Step-by-step explanation:

5/4 = 1.25

11/3 = 3.67

[tex]\sqrt{3} =1.73[/tex]

[tex]\sqrt{1} =1[/tex]

1.23

1.9

Numbers from least to greatest:

[tex]\sqrt{1}[/tex], 1.23, 5/4, [tex]\sqrt{3}[/tex], 1.9, 11/3

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

 [tex]P(X = 8) =  0.0037[/tex]

b

 [tex]P(X <  5) =  0.805[/tex]

c

 [tex]P(X > 6) =  0.0206[/tex]

I would be surprised because the value is very small , less the 0.05

Step-by-step explanation:

From the question we are told that

The probability a randomly selected individual will not cover his or her mouth when sneezing is [tex]p = 0.267[/tex]

Generally data collected from this study follows  binomial  distribution because the number of trials is  finite , there are only two outcomes, (covering  , and  not covering mouth when sneezing ) , the trial are independent

Hence for a randomly selected variable  X we have that  

   [tex]X \ \ \~ \ \ { B ( p , n )}[/tex]

The probability distribution function for binomial  distribution is  

    [tex]P(X = x ) =  ^nC_x *  p^x *  (1 -p) ^{n-x}[/tex]

Considering question a

Generally the  the probability that among 12 randomly observed individuals exactly 8 do not cover their mouth when​ sneezing is mathematically represented as

     [tex]P(X = 8) =  ^{12} C_8 *  (0.267)^8 *  (1- 0.267)^{12-8}[/tex]

Here C denotes  combination

So

     [tex]P(X = 8) =  495  *  0.000025828 * 0.28867947[/tex]

    [tex]P(X = 8) =  0.0037[/tex]

Considering question b

Generally the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when​ sneezing is mathematically represented as

     [tex]P(X <  5 ) =[P(X = 0 ) + \cdots + P(X = 4)][/tex]

=>   [tex]P(X <  5 ) =[ ^{12} C_0 *  (0.267)^0 *  (1- 0.267)^{12-0} + \cdots +  ^{12} C_4 *  (0.267)^4 *  (1- 0.267)^{12-4} ][/tex]

=> [tex]P(X <  5 )  =  0.02406 +  0.10516 + 0.21067 + 0.25580 + 0.20964[/tex]

=>  [tex]P(X <  5) =  0.805[/tex]

Considering question c

Generally the probability that fewer than half(6) covered their mouth when​ sneezing(i.e the probability the greater than half do not cover their mouth when sneezing) is mathematically represented as

      [tex]P(X > 6) =  1 - p(X \le  6)[/tex]

=>    [tex]P(X > 6) = 1 - [P(X = 0) + \cdots + P(X =6)][/tex]

=>    [tex] P(X > 6)=1 - [^{12} C_0 *  (0.267)^0 *  (1- 0.267)^{12-0}+ \cdots + ^{12} C_4 *  (0.267)^6 *  (1- 0.267)^{12-6} ][/tex]

=>    [tex] P(X > 6)= 1 - [0.02406 + \cdots + 0.0519 ][/tex]  

=>    [tex]P(X > 6) =  0.0206[/tex]

I would be surprised because the value is very small , less the 0.05

(a )randomly observed individuals exactly do not cover their mouth when​ sneezing

[tex]P[x=8]=0.0037[/tex]

(b) randomly observed individuals fewer than do not cover their mouth when​ sneezing

[tex]P[x < 5]=0.805[/tex]

(c)  fewer than half covered their mouth when​ sneezing

[tex]P(x > 6)=0.0206[/tex]

It is given in the question that

The probability a randomly selected individual will not cover his or her mouth when sneezing is

[tex]P=0.267[/tex]

Generally, data collected from this study follows  binomial  distribution because the number of trials is  finite, there are only two outcomes, (covering, and  not covering mouth when sneezing ), the trial is independent

The probability distribution function for binomial  distribution is  

[tex]P(x=8)=n C_X\times p^x\times (1-p)^{n-x}[/tex]

Generally, the probability that among 12 randomly observed individuals exactly 8 does not cover their mouth when​ sneezing is mathematically represented as

[tex]P(x=8)=12c_8\times (0.267)^8\times (1-0.267)^{12-8}[/tex]  

[tex]p(x=8)=495\times 0.000025828\times 0.2886794[/tex]

[tex]p(x=8)=0.0037[/tex]

Generally, the probability that among 12 randomly observed individuals fewer than 5 do not cover their mouth when​ sneezing is mathematically represented as

[tex]p(x < 5)=[p(x=0)+......+p9x=4)][/tex]

[tex]p(x < 5)=[12c_0\times(0.267)^0\times(1-0.267)^{12-0}+........+12c_4\times(0.267)^4\times (1-0.267)^{12-4}[/tex]

[tex]p(x < 5)=0.02406+0.10516+0.21067+0.25580+0.20964[/tex]

[tex]p(x < 5)=0.805[/tex]

Generally the probability that fewer than half(6) covered their mouth when​ sneezing(i.e the probability the greater than half do not cover their mouth when sneezing) is mathematically represented as

[tex]p(x > 6)=1-p(x\leq 6)[/tex]

[tex]p(x > 6)=1-[p(x=6)+......+p(x=6)][/tex]

[tex]p(x > 6)=1-[12c_0(0.267)^0\times(1-0.267)^{12-0}+....+12c_4\times(0.267)^6\times(1-0.267)[/tex]

[tex]p(x > 6)=1-[0.02406+.....+0.0519][/tex]

[tex]p(x > 6)=0.0206[/tex]

Thus

(a )randomly observed individuals exactly do not cover their mouth when​ sneezing

[tex]P[x=8]=0.0037[/tex]

(b) randomly observed individuals fewer than do not cover their mouth when​ sneezing

[tex]P[x < 5]=0.805[/tex]

(c)  fewer than half covered their mouth when​ sneezing

[tex]P(x > 6)=0.0206[/tex]

To know more about probability follow

https://brainly.com/question/25839839

Answer:

This inequality is impossible. Assuming this is realistic, Linda cannot sell part of a box of cookies and therefore cannot make less than $220.

Step-by-step explanation: