Solve for x, 17x > -17

Answer:

The probability that the sum is odd or a multiple of 5

P(E₁∪E₂) = 0.58 = 58%

Step-by-step explanation:

Step ( i ) :-    

Given the two dice are thrown ,The total number of  exhaustive cases

n(S) =  6² = 36

Let 'E₁' be the event of getting the sum is odd on two dice

E₁ = { (1,2)(1,4),(1,6),(2,1),(2,3),(2,5),(3,2)(3,4),(3,6),(4,1)(4,3),(4,5),(5,2),(5,4),(5,6),(6,1),(6,3),(6,5)}

n(E₁) = 18

Let 'E₂' be the event of getting the sum is multiple of 5 on two dice

E₂ = { (1,4),(2,3), (3,2),(4,1),(4,6),(5,5),(6,4)}  

n(E₂) = 7  

n(E₁∩E₂) = {(1,4),(2,3),(3,2),(4,1)} = 4

Step(ii):-

The probability that the event of getting the sum is odd on two dice

[tex]P(E_{1}) = \frac{n(E)}{n(S)} = \frac{18}{36}[/tex]

The probability that the event of getting the sum is multiple of '5' on two dice

[tex]P(E_{2}) = \frac{n(E_{2} )}{n(S)} = \frac{7}{36}[/tex]

The probability that the event of getting the sum is odd and multiple of '5' on two dice

[tex]P(E_{1} n E_{2}) = \frac{n(E_{1} n E_{2} )}{n(S)} = \frac{4}{36}[/tex]

The probability that the sum is odd or a multiple of 5

P(E₁∪E₂) = P(E₁) + p(E₂) - P(E₁ ∩ E₂)

              =    [tex]\frac{18}{36} + \frac{7}{36} - \frac{4}{36}[/tex]

              [tex]\frac{18+7}{36} - \frac{4}{36} = \frac{25-4}{36} = \frac{21}{36}[/tex]

P(E₁∪E₂) = 0.58 = 58%

Final answer:-

The probability that the sum is odd or a multiple of 5

P(E₁∪E₂) = 0.58 = 58%

The probability that the sum is odd or a multiple of 5 is 56 %.

When two dice are rolled, then

Total number of outcomes is [tex]=6^{2}=36[/tex]

Outcomes for  the sum is odd or a multiple of 5 ,

    [tex](1,2),(2,1),(2,3),(3,2),(1,4),(4,1),(1,6),(6,1),(2,5),(5,2),(3,4)\\\\(4,3),(3,6),(6,3),(4,5),(5,4),(6,5),(5,6),(4,6),(6,4)[/tex]

Number of favourable outcomes are [tex]=20[/tex]

the probability that the sum is odd or a multiple of 5 is,

                   [tex]P(E)=\frac{20}{36} =0.56[/tex]

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Answer: 0.92

Step-by-step explanation: cos a = side adj / hypotenuse

Cos a = 12/13 ~ 0.92307

Answer:

6,912....

Step-by-step explanation:

6 times 12 times 6 time 4 times 4 = 6,912

Answer:

= 360 ft³

Step-by-step explanation:

Rectangular prism

Volume = length x width x height

V = l x w x h

V = 12 x 6 x 4

V = 288 ft³

Triangular prism

Volume = 1/2 x base x height x length

V = 1/2 x 6 x 4 x 6 ( the width of the rectangular prism is the base of the triangular prism)

V = 1/2 x 144

V = 72 ft³

ADD BOTH VOLUMES

= 288 + 72

= 360 ft³

Answer: 17/50

Multiply

0.34/1×100=34/100

Simplify

34/100÷2/2=17/50

A fraction which is equivalent to 0.34 is; 17/50

The decimal number, 0.34 can be represented in words as; 34 hundredths.

In essence, mathematically, we have;

17/50 is obtained by factorisation of 2 out of the numerator and denominator.

Hence, a fraction which is equivalent to 0.34 is 17/50.

Read more on equivalent fractions;

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Answer:

2

Step-by-step explanation:

Slope is often called rise/run.

This is the amount the line goes upwards, rise, compared to the amount it goes sideways, run.  

Compare the two shown points.  From the left point the the right, the rise is 6, while the run is 3, creating the rise/run of 6/3.  This is simplified to 2.

Answer:

C

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

if both together cost $110

and the cell phone cost 100 more than the phone case, we need to find the cost for the phonecase

and it's 105

hope this helped:D

brainliest is appreciated if u want

Answer:

$105  r e  

Step-by-step explanation:

Answer: A) 18.2 minutes

B) 4.5 minutes.

Step-by-step explanation:

A) Maxine can mow one lawn in 24 minutes, so the rate of work is:

1/24 of the lawn per minute.

Sammie can mow one lanw in 36 minutes, so the rate of work is:

1/36 of the lawn per minute.

The amount of the lawn that each has left to lawn by the minute x is:

Maxine = 1 -(1/24)*x

Sammie = 1 - (1/36)*x

we want to find the value of x such that:

2*(1 - (1/24)*x) = 1 - *(1/36)*x

which means that the amount that Sammie has left is two times the amount that Maxine has left to mow.

2 - (1/12)*x = 1 - (1/36)*x

2 - 1 = (1/12 - 1/36)*x

1/0.055 = x = 18.2

by the minute 18.2

B) Similar to before, here the rates are:

For Maxine, R = 1/6

For Sammie, R = 1/9

The amount they have left to mow by minute x is:

Maxine = 1 - (1/6)*x

Sammie = 1 - (1/9)*x

We want to solve, similar to before.

2( 1 - (1/6)*x) = 1 - (1/9)*x

2 - (1/3)*x = 1 - (1/9)*x

2 - 1 = (1/3 - 1/9)*x

1 = (2/9)*x

1*9/2 = x = 4.5

So here the solution is 4.5 minutes.

Answer:

`He will never have more grass to maw than Maxine because they do the strips the same size, and their yard is the same size, so they never have more to mow than the other person.

Explanation:

May you pls mark me as brainliest I am new to the program.

Answer:

1,300.62

Step-by-step explanation:

The formula for a cylinder is A= 2 pi r h +2 pi r^2

Answer: k=1

Step-by-step explanation:

4 - 2k = 2

If it's easier you can also write it like

-2k + 4 =2

Solve for k by isolating it. Move four and then divide the -2.

-2k =2-4

-2k= -2

k= -2/-2

k=1

Answer:

1

Step-by-step explanation:

4-2k=2

When a letter is next to a number that means to mulptiply, so

4-2*1=2

2*1=2 and 4-2=2

Answer:

£2.38

Step-by-step explanation:

Write and solve an equation of ratios:

 £1.40       2.5 kg

----------- = ------------

     c          4.25 kg

Cross multiplying, we get:

(£1.40)(4.25 kg) = (2.5 kg*c), or

       (£1.40)(4.25 kg)

c = -------------------------- =  £2.38

             2.5 kg

Answer:

84 mm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 b *h

The base is 14 and the height is 12

A = 1/2 (14*12)

A = 84 mm ^2

Area of a triangle formula: A = 1/2bh

Solve using the values given in the picture.

A = 1/2(14)(12)

A = 1/2(168)

A = 84

Therefore, the volume of the triangle is 84mm²

Best of Luck!

Answer:

( l+w)

Step-by-step explanation:

just did the question

The expression to subtract from Hallie's equation is (l + w).

Option A is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

p = 4l + 4w + 4h

p/4 = (4l + 4w + 4h) / 4

p/4 = l + w + h

h = p/4 - (l + w)

Thus,

(l + w) is subtracted from the equation.

Learn more about equations here:

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Answer:

They cannot come up with new innovation in terms of medicines.

Step-by-step explanation:

Coral reefs are in some cases considered the medication cupboards of the 21st century. Coral reef plants and creatures are significant wellsprings of new meds being created to treat malignant growth, joint inflammation, human bacterial contamination, Alzheimer's illness, coronary illness, infections, and different sicknesses.

Since corals are stationary creatures, many have developed concoction barriers to shield themselves from predators. Researchers keep on inquiring about the therapeutic capability of these substances.

Later on, coral reef environments could speak to an inexorably significant wellspring of restorative medications, wholesome enhancements, pesticides, beautifying agents, and other business items.When this are affected it affects the aforesaid process and researchers

Answer:

D

Step-by-step explanation:

See the attached picture:

Answer: The price of a fruit bowl at the cafe is $3

Step-by-step explanation:

$3 in the price of a Fruit bowl at the cafe.

According to the given In the question,

Let,

price of a Salad = Sl

price of a fruit bowl = Fb

Fb price of a sandwich = Sd

Sl + Fb+sd=$12         ..1

2 SI + 2 Sd = $14       ..2

Sl + 3Pb Fb = $14      ..3

from equation 2

Sl = 7 - Sd

from equation 3

7 - Sd + 3Fb = 14

Sd  = 3Fb - 7

from equation 1

14- 3Fb+Fb+ 2(3Fb-7)=12

14- 2 Pb +6Fb-14=12

4Fb = 12

Fb = 3

Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

Learn more about Problem-solving here: brainly.com/question/23945932

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Answer:

y = -2 +sqrt(7)

y = -2  - sqrt(7)

Step-by-step explanation:

y^2 +4y +4 = 7

Factor, recognizing that this is the sum of squares

a^2 +2ab+b^2 = (a+b)^2

(y+2) ^2 = 7

Take the square root of each side

sqrt((y+2) ^2) =± sqrt(7)

y+2 = ± sqrt(7)

Subtract 2 from each side

y+2-2 = -2  ± sqrt(7)

y = -2  ± sqrt(7)

Answer:

C)

Step-by-step explanation:

-2+sqrt(7) ≈ 0.649

-2-sqrt(7) ≈ -4.646

each are x-intercepts

Answer:

A

Step-by-step explanation:

You are just going to have to divide the 7 which gives you 3.5

Answer:

200 minutes

Step-by-step explanation:

In order to find the range, you have to subtract the greatest number to the lowest number. In this case, 400 is the smallest number, and 600 is the greatest number. 600-400 is 200 minutes.

Answer:

a(n) = 64*(7/4)^(n - 1)

Step-by-step explanation:

Dividing 112 by 64 results in the common ratio 7/4.

Dividing 196 by 112 also results in the ratio 7/4.

So we can safely assume that the common ratio here is 7/4.

The explicit formula for this sequence is a(n) = 64*(7/4)^(n - 1)

Answer:

1.75

Step-by-step explanation:

1.75 is the value

Answer:

Between 3² and 4⁴

Between 3 and 4

Step-by-step explanation:

Number 15 is between between 3² and 4⁴

While √15 = 3.8 72 is between 3 and 4.

The answer is 75,300,000 hope this helps.

Total what she made.

5.25 + 4.40 = 9.65

Total what she spent:

3.75 + 2.25 = 6.00

Subra to the amount spent from the amount earned:

9.65 -6.00 = 3.65

She has $3.65 left

It is 34

First you have to order all of the number from least to greatest:

18 24 25 32 34 36 43 46 50

Then you cross out a number from each side, until you are left with the last number, which is the median. In this case your answer is 34.

Answer:

5

Step-by-step explanation:

5 is greater than 1 because it is further to the right from zero on the number line

Answer:

5 because 5 is a bigger number than 1.

Step-by-step explanation:

5 is bigger by for an example if you have 5 apples vs 1 apple.

5 apples is more right.

Answer:

No because 21 is close to it.

Step-by-step explanation:

To be considered an outlier, it would need to be a farther distance such as the distance from 28 to 21.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

Answer:

No. it's close to 21.

Step-by-step explanation:

There's a formula for fidning out if something is an outlier or not but i forgot, pff, look it up :P

Answer:

1:5

Step-by-step explanation:

5x² = 25x²

Divide both sides by 5x²

5x²/5x² = 25x²/5x²

1:5

Answer:

5 7/12

Step-by-step explanation:

To get the total amount of nuts used in all, what we do is to add all the fractions together

But we convert them to mixed fraction to make the work easier;

2 3/4 = 11/4

1 2/3 = 5/3

1 1/6 = 7/6

Adding all, we have;

11/4 + 5/3 + 7/6 = (33+ 20 + 14)/12 = 67/12 = 5 7/12

Answer:

4 7/12

Step-by-step explanation:

2 3/4 + (1 2/3 + 1/6) = 2 3/4 + (1 4/6 + 1/6) = 2 3/4 + 1 5/6 = 2 9/12 + 1 10/12 = 3 19/12 = 4 7/12

Hope this helps!!!

Answer:

Step-by-step explanation:

x-.20x

Lets say the hat cost $100

x=100

multiplying 100 by 20% which is .20 yields $20

S0 $20 is the discount which we subtract from the original price

100-20 and get the sale price of $80

They use a shortcut so you don't have to do the subtracting of the discount

They say if the price is being discounted subtract the discount from 1 and multiply that by the original amount

So in this case the discount percent was 20% = .20

Subtracted from 1

1-.20=.80

Since x is the original price we multiply x by the .80 to get  

.80x

Answer:

ya switch the the 1st one and the last one

Step-by-step explanation:

Answer:

B is the answer your looking for

Step-by-step explanation: