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Answer:

0.79

Step-by-step explanation:

add up the probability that is less than or equal to  0, which is 0.17+0.13+0.33+0.16 = 0.79

The probability [tex]$x \leq0$[/tex]. is 0.79.

What is probability distribution?

A probability distribution exists a statistical function that defines all the possible values and likelihoods that a random variable can consider within a provided range.

The probability distribution is given in the table.

Probability that [tex]$x \leq0[/tex]

The values that are 0 or lower are -3, -2 and -5. So

[tex]$P(X \leq0)=P(X=-3)+P(X=-2)$$[/tex]

From the table:

[tex]$&P(X=-3)=0.13, P(X=-5)=0.17, P(X=-2)=0.33[/tex] and [tex]P(X=0)=0.16[/tex]  

So, [tex]$&P(X \leq-3)=P(X=0)+ P(X=-3)+P(X=-5)+P(X=-2)[/tex]

= 0.16 + 0.13 + 0.17 + 0.33

= 0.79

0.79 probability that [tex]$x \leq0$[/tex].

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Answer:

2/13

Step-by-step explanation:

Answer:

2/13

Step-by-step explanation:

Answer:

the far left one

Step-by-step explanation:

Answer:

1) 5 : 7 : 8.75

2) Happy = 168 .    Juma = 210

3) Rima = 17800 .     Happy = 24920 .    Juma = 31150

Step-by-step explanation:

1) 5 : 7 : 8.75

Ratio Rima to Happy = 5:7

Ratio Happy to Juma = 4:5

7/4 = 1.75

1.75 x 5 = 8.75

Ratio = 5 : 7 : 8.75

2) Happy = 168 .     Juma = 210

Ratio = 5 : 7 : 8.5

120 / 5 = 24

Happy = 24 x 7 = 168

Juma = 24 x 8.75 = 210

3)17800 : 24920 : 31150

5 + 7 + 8.75 = 20.75

73870 / 20.75 = 3560

3560 * 5 = 17800 = Rima

3560 * 7 = 24920 = Happy

3560 * 8.75 = 31150 = Juma

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Answer:

x = 3.2

Step-by-step explanation:

Apply pythagorean theorem, c² = a² + b²

Where,

c is the hypotenuse/longest side = √(10² - 9²) ≈ 4.4

a = x

b = 3

Substitute

4.4² = x² + 3²

19.36 = x² + 9

x² = 19.36 - 9

x² = 10.36

x = √10.36

x = 3.2 (nearest tenth)

Answer:

y = 5

Step-by-step explanation:

cross-multiply:

6y = 30

y = 5

Answer:

When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).

Answer:

The coins probability is 1/2 while the dice probability is 1/6

Step-by-step explanation:

The coin only has 2 sides so you split it into halves

The dice has 6 sides so you split it into sixths

Answer:

Step-by-step explanation:

The answer is 1 and 3

Answer:

16.6

Step-by-step explanation:

somtimes you gotta pay attention to you're math teacher

Answer:

[tex]x=\frac{e^{2.5}-3}{5}[/tex]

Step-by-step explanation:

Let y = 5x + 3
Then we get
㏑(y) = 2.5

Using exponentiation,

[tex]e^{lny} = e^{2.5}\\\textrm{But }e^{lny} \textrm{ is simply y (log rule)}\\\textrm{So we get}\\y = e^{2.5}\\\\\\\textrm{Substituting for y we get}\\\\5x + 3 = e^{2.5}\\x = (e^{2.5} - 3)/5\\[/tex]

This works out to x = 1.83649879

Answer:

Step-by-step explanation:

the balloon starts at  (10, 0 )

it ends at  16,0)

in the middle it's at between 10 and 16 , so say about 13, where it reaches 27

so in the middle it's (13,27)

so  ( 11, 9)

(12, 18)

got 13

(14, 18)

(15, 9)

got 16

:P

Answer:

8.31

Step-by-step explanation:

Using the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

[tex]10^2+b^2=13^2[/tex]

[tex]100+b^2=169[/tex]

[tex]b^2=69[/tex]

[tex]b = \sqrt{69}[/tex]

[tex]b = 8.306623863[/tex]

The side length for [tex]x[/tex], rounded to the nearest hundredths, would be 8.31.

Answer:

45%

Step-by-step explanation:

Step-by-step explanation:

It's asking you what the probablitiy of a red car is.

Since this looks like a test/homework, I'll give some hints.

Let's say that SUV's and car's are x.

Out of x, 60 percent is cars.

Let's call the amount of cars we have y.

Out of y amount car's, 15 percent is red.

It's asking that if you randomely chose a car, what the probability would be if you got a non-red car.

Of course, this problem only needs one variable, but for the sake of simplicity, I added 2.

Hope this helps!

Answer:

Total time taken to complete the job is 26 hours

Step-by-step explanation:

Fred's First Job

Total amount paid = 475 dollar

Total hours of work = 19 hours

Charge per hour = 475/19 = 25 dollars per hour

Fred's second job

Total amount paid = 720 dollar

Total hours of work = 26 hours

Charge per hour = 720/26 = 27.69 dollars per hour

Fred's third job

Amount paid = 1180

When amount paid was 720, charge per hour was 27.69

When amount paid is 1180, charge per hour is (27.69/720) * 1180 = 45.38

Total time taken to complete the job = 1180/45.38 = 26 hours

Answer:

Hello! answer: coordinates of E' are (16, 4)

Step-by-step explanation:

4 × 4 = 16 4 × 1 = 4 therefore the new coordinates are (16, 4)

The coordinate of E after dilation is (16, 4).

It is a two dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

Triangle DEF has coordinates:

D = (3, 4)

E (4, 1)

F = (1, -2)

The coordinates are dilated with a scale factor of 4.

This means,

Multiply all the coordinates by 4.

Now,

D = (3 x 4, 4 x 4) = (12, 16)

E (4 x 4, 1 x 4) = (16, 4)

F = (1 x 4, -2 x 4) = (4 , -8)

Thus,

The coordinate of E is (16, 4).

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Answer:

157

Step-by-step explanation:

Answer:

cos angle = 12/17

angle = cosine inverse (0.70588)

angle = 50.110

Step-by-step explanation:

Simplify the matrix.

f

2

x

2

−

2

f

g

x

2

+

g

2

x

2

,

f

(

x

)

=

2

√

x

f

x

=

4

x

,

g

x

=

4

√

x

g

x

=

16

x

Answer:

Step-by-step explanation:

take theta as reference angle

using sin rule

sin theta=opposite/hypotenuse

sin theta=5/13

sin theta=0.38

theta=sin 23

therefore the value of theta is 23 degree

Step-by-step explanation:

Mid point formula ,

x = (x1+x2)/2 , y = (y1+y2)/2

x = 1 , y = 4

therefore ,midpoint is (x, y)= (1,4)

(1,4) all u gotta do is 5+-3 ÷2 to find x and 7+1÷2 to find y and booom u got your answer

Answer:

[tex] \sqrt{25 \times 9} [/tex]

[tex] \sqrt{5² \times 3²} [/tex]

±(5*3)

±15 is a required answer.

Answer:

Each student will raise $60.32

Step-by-step explanation:

682.56-200.000 = 482.56

482.56/8 = $60.32

Answer:

red

Step-by-step explanation:

Answer:

Blue Oods=3 it because four marbles and yellow have four marbles if yellow are in there blue is picking up because blue are in the inside and out in this question

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Answer: 2/5

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:{1,2,3,4,5}

 even numbers among these numbers are {2,4}

   likelihood of even numbers =number of even numbers/all numbers

                                                     2/5

Ans: 10+7n

Step-by-step explanation: there you go

Answer:

d=7; equation=17+(n-1)7

Step-by-step explanation:

I dont know what your question is but it goes up by 7