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Answer:

Step-by-step explanation:

Total Number of possible outcomes = 52

Getting a jack from a deck of 52 cards for a certain event (A) = 4

The Probability (A) = 4/ 52

= 1 / 13 = 0.07

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Answer:

Step-by-step explanation:

x = 180 - 117 = 63°

y = 360 - 63 - 86 - 98 = 113°

Sum of angles along a line about a point on the line is 180°

Sum of internal angles on a quadrilateral is 360°

Answer:

Point slope form: y − 7 = 3 4 ( x − 3 ) Slope intercept form: y = 3 4 x + 19 4 or y = 3 4 x + 4 3 4

Step-by-step explanation:

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Answer:

Slope = 1

Step-by-step explanation:

Slope = change in y / change in x

Slope = 6 - (-4)/7 - (-3)

Slope = 10/10

Slope = 1

-Chetan K

Answer:

KN be better

sons of if his

Answer: 180 students

Step-by-step explanation:

Step-by-step explanation:

Volume of cylinder = πr²h

42mi = 221760 ft .

Answer: just simply add them and you get 11000

The Venn Diagram B, C and D, all represents two sets with common elements.

In B, the circle F is inside the circle G, so F share all of its elements with G. It is like a baby inside the belly of her mother :)

In C, F and G circles intersect and the intersection is their common space, and

the D is like the B.

But A reprents two sets F and G with no common elements. So the answer is A.

Good Luck

Using the vertex, it is found that the maximum height of the punt is of 27.7 feet.

The height of the punt, after x seconds, is given by:

[tex]f(x) = -0.0152x^2 + 1.25x + 2[/tex]

It is a quadratic equation with coefficients [tex]a = -0.0152, b = 1.25, c = 2[/tex].

The maximum value is the value of the function at the vertex, hence:

[tex]f_V = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}[/tex]

Applying the coefficients:

[tex]f_V = -\frac{b^2 - 4ac}{4a} = -\frac{(1.25)^2 - 4(-0.0152)(2)}{4(-0.0152)} = 27.7[/tex]

The maximum height of the punt is of 27.7 feet.

A similar problem is given at https://brainly.com/question/16858635

Answer:

x = -4 and y = -15

Hope This Helps!!!

Step-by-step explanation:

x = traveled hours

when multiplying miles/hour by hours, this gives

hours × miles / hours

so, the dimension hours is eliminated on top and bottom of that fraction (or ratio) leaving only miles.

therefore,

468 = 95x + 85x = 180x

x = 468/180 = 2.6 hours or 2 6/10 hours = 2 hours and 6×6 minutes = 2 hours and 36 minutes

remember,

1 hour = 60 minutes

1/10 hour = 60/10 = 6 minutes

Answer:

Step-by-step explanation:

2.6 h

Answer:

There's not enough information to answer the question.

Step-by-step explanation:

The question says that out of 84 kids, 3/7 bought their lunches. Then it asks how many of the 3/7 got pizza without providing a number of those who bought a different food. And so, there's not enough information to solve this question.

the answer is 90 hope this help.

Answer:

3x²–6x–5

Step-by-step explanation:

3x²–2x+1–4x–6

collect like terms

3x²–2x–4x–6+1

3x²–6x–5

Answer:

[tex]\large\sf{average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}[/tex]

Step-by-step explanation:

Given the American customer satisfaction index scores that increased from 61 in 2002, to 71 in 2014:

In order to solve for the average rate of change, we could simply use the average rate of change formula:

Average rate of change = Change in output/Change in input

[tex]\huge\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}}[/tex]

Let (x₁, y₁) = (61, 2002)

    (x₂, y₂) = (71, 2014)

Substitute these values into the average rate of change formula:

[tex]\BIGG\sf{Average\:rate\:of\:change\:=\:\frac{\triangle{y}}{\triangle{x}}\:=\:\frac{(y_2\: -\: y_1) }{(x_2\: -\: x_1)}\:=\frac{2014\:-\:2002}{71\:-\:61}\:=\:\frac{12}{10}\:=\:\frac{6}{5}}[/tex]

[tex]\large\bf\sf{Therefore,\:the\:average\:rate\:of\:change= \frac{6}{5}\:=\:1.2}[/tex].

Answer:

Mary:604

Mona:796

Step-by-step explanation:

Answer:

Ms. Mary spend $302

Ms. Mona spend $ 686

Step-by-step explanation: We know that Ms. Mary spend $192 less than Ms. Mona.

So we are to divide $988 by 2 which is 494

now both have $494 each but Ms. Mona spend 192 so we are to add 192 + 494 to get the right sum of how much money Ms. Mona have and take away 494-192 to get the right sum of how much money Ms. Mary spend.

192 + 494 = 686

494 - 192 = 302

Answer:

Step-by-step explanation:

The mean:

[tex]\overline{x}=\dfrac{a_1+a_2+a_3+...+a_n}{n}[/tex]

We have:

[tex]\overline{x}=49;\ n=11[/tex]

Then we have

[tex]\dfrac{11\cdot49}{11}=49[/tex]

[tex]n[/tex] - the number

new mean is equal 45.

Therefore we have the equation:

[tex]\dfrac{11\cdot49-n}{11-1}=45\\\\\dfrac{539-n}{10}=45\qquad|\text{multiply both sides by 10}\\\\539-n=450\qquad|\text{subtact 539 from both sides}\\\\-n=-89\qquad|\text{change the signs}\\\\n=89[/tex]

Step-by-step explanation:

(x1 + x2 + ... + x11)/11 = 49

x1 + x2 + ... + x11= 49×11 = 539

(x1 + x2 + ... + x10)/10 = 45

x1 + x2 + ... + x10 = 45×10 = 450

so, the difference in both sums is

539 - 450 = 89

89 was the removed number.

Answer:

124.409

Step-by-step explanation:

sana makatulong sa inyong lahat

Answer:

$15540 is 2.1% of 740,000 which is the same percent as the 920,000 which was 2.1 percent so your answer is $15540

Step-by-step explanation:

Answer:

a) 5.25m^2

b) 1 can

Step-by-step explanation:

a)

area of a triangle = bh/2

=(4.2 x 4.5)/2

=18.9/2

=9.45m^2

area of a rectangle = 2(l+w)

=2 x (0.6 + 1.5)

=4.2m^2

9.45-4.2 = 5.25m^2

b) 1 can, you can't have a partial can of paint

Proportional relationships are used to represent direct variation

The number of calories in 14 brownies is 233, and the proportional relationship is [tex]\mathbf{c = \frac{50b}{3}}[/tex]

Let b represents brownies and c represents calories.

So, the relationship is given as:

b : c = 3 : 50

Express as fractions

[tex]\mathbf{\frac bc = \frac{3}{50}}[/tex]

Multiply both sides by c

[tex]\mathbf{b = \frac{3}{50}c}[/tex]

When the number of brownies is 14, we have:

[tex]\mathbf{14 = \frac{3}{50}c}[/tex]

Multiply both sides by 50/3

[tex]\mathbf{14 \times \frac{50}{3} = c}[/tex]

[tex]\mathbf{233 = c}[/tex]

Rewrite as:

[tex]\mathbf{c = 233 }[/tex]

Make c the subject in [tex]\mathbf{b = \frac{3}{50}c}[/tex]

[tex]\mathbf{c = \frac{50b}{3}}[/tex]

Hence, the number of calories in 14 brownies is 233, and the proportional relationship is [tex]\mathbf{c = \frac{50b}{3}}[/tex]

Read more about proportional relationships at:

https://brainly.com/question/24312388

Answer:

Step-by-step explanation:

The number of miles driven is sometimes written as a mixed number, and thus is a continuous variable (whereas the number of pencils purchased is not continuous (it's a whole number).

The domain of the continuous function are [0, n), where n represents the number of miles driven and is rarely over about 500 miles per day; the range is [$22, r), where r is ($0.10/mile)(number of miles driven), or approximately $50.  If the renter drove 600 miles the upper end of the range would be $60.  And so on.

Answer:

letter A.g(x)=x2+b that's the answer cause g(x) is in the positive

Answer:

50,000(1+0.09)^8

50000(1.99256)

A=99,628.13

Answer:

X = 7/3y - 10/3

Step-by-step explanation:

Add - 7y to both sides = -3x + 7y = 10 - 7y

= -3x = 10 - 7y

Divide both sides by -3

-3x/-3 = 10/-3 - 7y/-3

x = 7/3y - 10/3

Answer:

1.$2.89

Step-by-step explanation:

1/3 off $ 0.38 $ 0.25

2 for 1 at $ 5.78 $ 2.89

Answer:

The length of the other leg is [tex]4\sqrt{3}[/tex]

Step-by-step explanation:

There are 2 ways to solve this.

1) Pythagorean theorem (the harder way)

A 30-60-90 triangle is a right triangle, and therefore you can use the pythagorean theorem to calculate the measure of 1 side given the 2 others.

[tex]a^2+b^2=c^2\\a^2+4^2=8^2\\a^2+16=64\\a^2=48\\a=\sqrt{48}\\a=6.9282...[/tex]

That's one solution, but its not a very nice number or the exact answer you probably want. Instead, you can simplify the root.

First, you need to factor 48:

[tex]2*24=48\\2*12=24\\2*6=12\\2*3=6[/tex]

The prime factors of 48 are:

[tex]2*2*2*2*3=48[/tex]

Then, you need to find perfect squares:

[tex](2*2)*(2*2)*3=48\\2^2*2^2*3=48[/tex]

And finally, you can remove those like this:

[tex]\sqrt{48} =\sqrt{2^2*2^2*3} \\\sqrt{48} =2\sqrt{2^2*3} \\\sqrt{48} =2*2\sqrt{3} \\\sqrt{48} =4\sqrt{3}[/tex]

The length of the other leg is [tex]4\sqrt{3}[/tex]

2) 30-60-90 triangle relationships (the easier way)

There are 4 simple rules here:

They're actually pretty easy to remember. You can multiply the short leg by 2 or √3, and 2 is greater than √3 (check a calculator). The hypotenuse of course is also longer than the long leg, so you have to multiply by 2 to get it. Then for the long leg, the only option is to multiply by √3. The same works in reverse for both of those.

Here, we have the short leg. You can check that with the pythagorean theorem again to be sure:

[tex]a^2+4^2=8^2\\a^2+16=64[/tex]

Because 16 is less than half of 64, a has to be the longer leg. Using the rules above, multiply the short leg by √3 to get the answer:

[tex]4 * \sqrt{3} \\4\sqrt{3}[/tex]

Same answer as the previous method.