Find the equation of the line that passes through the points:(2, 2) and (3, 4)

Answer:  [tex]y = 850(0.943)^t[/tex]

Reason:

The exponential of the form [tex]y = a*b^x[/tex] has 'a' as the initial term and b as the growth or decay factor.

a = 850 is the starting amount

b = 1 + r = 1 + (-0.057) = 0.943 is the decay factor

If the sample loses 5.7% of its mass each year, then it keeps the remaining 94.3% of it.

Answer:

d. 0.771.

Step-by-step explanation:

This probability is equal to the area other than the green triangle divided by the total area of backyard.

Total area = 120^2 = 14400

Area of green triangle = 1/2 * 120 * 55 = 3300

So area of the part of yard not covered by the triangle = 14400 - 3300

and the required probability =  (14400 - 3300) / 14400

= 0.771.

Answer:

d. 0.771

Step-by-step explanation:

What is probability?

Probability is the likelihood of the occurrence of something.

In simpler terms we can say probability = # of favorable outcomes / total # of outcomes.

Understanding the question

Here we have a square and a triangle inside of the square and we want to find the probability that a tennis ball thrown inside of the square will not land inside of the triangle.

So we have # of favorable outcomes as the area of the outside of the triangle but inside of the square ( so area of square - area of triangle ) and we have total # of outcomes as the total area of the square including the triangle

Finding the areas

Area of square

Area of square = (side length)²

the square shown has a given side length of 120ft

So area = 120² = 120 × 120 = 14400

Area of triangle

Area of a triangle = (base length × height) / 2

Here the base length is shared with the side length of the square menaing the base length of the triangle = 120 and the given height of the triangle is 55 feet

So area would = ( 120 × 55 ) / 2 = 3300

Finding the probability

Again we want to find the probability that a ball thrown in the square will not land in the triangle

This can be calculated using the probability formula we created earlier

probability = ( area of square - area of triangle ) / area of square

we have area of square = 14400 and area of triangle = 3300

so probability = (14400 - 3300) / 14400

==> subtract 3300 from 14400

probability = 11100 / 14400 = 0.771 ( rounded )

And we are done!

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Answer:

The mean of the data is 70

Step-by-step explanation:

Hope this helps you! :D

Answer:

70

Step-by-step explanation:

Mean-

Add all the numbers to the total = 350

Divide by the amount of numbers (125, 15, 30, 110,70 = 5 numbers)

350/5 = 70

The probability that the guest chooses one of each type of soda will be 8.03%.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

Four types of soda are served at a birthday party. in an icebox containing a large number of cans of soda, 20% are Ambrase, 30% are Butonic, 15% are Colana, and 35% are Dynamite.

A party guest randomly chooses four cans of soda.

Then the probability that the guest chooses one of each type of soda will be

Let the total number of the soda can will be 100. Then we have

Ambrase = 20

Butonic = 30

Colana = 15

Dynamite = 35

[tex]\rm P = \dfrac{^{20}C_1 \times ^{30}C_1\times ^{15}C_1\times ^{35}C_1}{^{100}C_4}\\\\\\P =\dfrac{20 \times 30 \times 15 \times 35}{3921225}\\\\\\P = \dfrac{600}{7469}\\\\\\P = 0.08033\\\\\\P = 8.03\%[/tex]

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Answer:

i think that it is 6

Step-by-step explanation:

hope this helps

Please give me Brainlist

Answer:

5 given as -1 and 8 positive 8 cross by axis

We will see that there are 284.2 kilograms of helium inside the ballon.

In this problem, we know the volume of helium and the density of helium.

Remember that:

density = mass/volume.

Then we can write:

mass = density*volume.

Replacing the two in the right, we get:

mass = (1,592 m³)*( 0.1785 kg/m³) = 284.2kg

Then we can conclude that there are 284.2 kilograms of helium in the ballon.

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Answer:

Slope is 3.

Step-by-step explanation:

Slope formula

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

m ... slope

Two points on the line are (x1, y1) and (x2, y2).

Now let's insert the coordinates of points (6,9) and (4,3) in the slope formula.

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}\\\\m = \frac{9 - 3}{6 - 4}\\\\m = \frac{6}{2}\\\\m = 3[/tex]

You could also do [tex]m = \frac{3-9}{4-6}[/tex] and would get the same result.

Answer:

√645^3=16,380.9. Mathematically correct

14/7 is greater than 1/2

Sure hope this helps you

→ The formula to convert a fraction to a decimal is ( "a ÷ b" ) .

→ where ( a ) is the NUMERATOR and ( b ) is the DENOMINATOR of the fraction .

The fraction to decimal formula states that:

• you just need to divide the numerator by denominator to get the decimal equivalent of the fraction ..

• convert 25/100 to decimal ?

→ Just divide 25 by 100 = 0.25

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Step-by-step explanation:

to convert a fraction to decimal ,well just divide numerator ....by the denominator

we 'll divide 1 by 4.1 divided by 4 equal to zero to keep dividing we ' ll add a decimal point and a zero after 1.

Answer:

10

Step-by-step explanation:

Since the customers can choose among 5 drinks, 4 main dishes, and 5 sides. there 100 different combo meals are possible.

Since order is not important we use combination to solve the problem

This is the number of ways in which x objects can be selected out of n objects. It is given mathematically as ⁿCₓ = n!/x!(n - x)!

Now, given that the customer can choose among 5 drinks, 4 main dishes, and 5 sides.

There are ⁵C₁ ways of choosing the drinks.

So, ⁵C₁ = 5!/1!(5 - 1)!

= 5!/1!/4!

= 5

There are ⁴C₁ ways of choosing the main dishes.

So, ⁴C₁ = 4!/1!(4 - 1)!

= 4!/1!/3!

= 4

There are ⁵C₁ ways of choosing the sides.

So, ⁵C₁ = 5!/1!(5 - 1)!

= 5!/1!/4!

= 5

So, total number of ways of choosing the combo meals is

⁵C₁ × ⁴C₁ × ⁵C₁ = 5 × 4 × 5

= 100 ways.

So, there 100 different combo meals are possible.

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Answer: The answer is 100

Step-by-step explanation:

Answer:

After 31 months, Desmond first have enough money to purchase a used car.

Step-by-step explanation:

Since we have given that

Saving per month for a used car = $25

Each month he is able to save = $5 more than the previous month

If we have $3000 to purchase a used car.

So, we need to find the number of months Desmond to have enough money.

Our sequence will be

25,30,35,..............3000

So, it becomes,

Months can't be negative, So,

n = 31 months.

Hence, After 31 months, Desmond first have enough money to purchase a used car.

Answer:

C. 31

Step-by-step explanation:

Step-by-step explanation:

it seams like this question is wrong

Answer:

B

Step-by-step explanation:

You are going to add 9 to 27 because you are counting by nines on the bottom.

Answer:

15.7 lbs (please mark brainliest)

Step-by-step explanation:

2.6+x+x=34

2x=31.4

x=15.7

Answer: 14.4

Step-by-step explanation: I took 34 and divided it by 2 then subtracted 2.6 from 17 which gave me 14.4. If it's wrong, sorry.

Answer:

307.916cm^3

Step-by-step explanation:

[tex]volume \: of \: a \: cone \: = \frac{1}{3}\pi \: r {}^{2} h \\ v = \frac{1}{3} \times 3.142 \times 3.5 {}^{2} \times 24 = 307.916cm {}^{3} [/tex]

Answer:

12.025

Step-by-step explanation:

h=v/(π*r square)

divide the volume of a cylinder by the amount of the radius squared multiplied by π(pi)

340÷(π×3square)

giving you 12.025

(original in calculator=12.02504014)

but it is 12.025

Answer:

sorry but I do know that it is A or B hope this helps.

The rate of change of the given simple index over 1 day is -0.9%.

When something has a constant rate of change, one quantity changes in relation to the other.

Given that;

Stock A opens on Monday with 10000 shares at $5.50 per share.

Stock B opens on Monday with 8000 shares at $6.25 per share.

Stock A opens on Tuesday at $5.80 per share, and stock B opens on Tuesday at $6.65 per share.

Total value of the simple index at Monday is;

= (10000×5.50) + (8000×6.25)

= 55,000 + 50,000

= 105,000

The total value of the simple index at Tuesday is;

= (10000×5.80) + (8000×6.65)

= 58,000 + 53,200

= 111,200

The rate of change of this simple index over 1 day is;

= (111,200-105,000)/(10000-8000) -1

= 6,200/2000 - 1

= 3.1 - 1

= 2.1

Hence, the rate of change of the given simple index over 1 day is -0.9%.

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Put u=17

Answer:

59.5.

Step-by-step explanation:

h = 3.5u

When u = 17,

h = 3.5*17

= 59.5

Take two points

Slope

Parallel lines so slopes are equal

Only y intercept will vary

So both lines have y intercept at -3 and -1 respectively

The equations

Put (0,0) on first one

On second one

So as lines are dashed symbols remain >

The inequalities are

When Digitalis knows that it'll sell many of the processors, it's expected to make money since there's a higher probability that it's not defective.

Since the processor is sold for $3300 and a profit of $429 is made, the selling price will be:

= $3300 - $429

= $2871

In this case, there's a 13% chance that it's defective and 87% that's it's not defective. Therefore, it's expected to make money since there's a higher probability that it's not defective.

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Answer:

a

Step-by-step explanation:

Answer:

The first step that we are going to do is to solve the area of the top rectangle.  We are given a width of 15 cm and a length of 25 cm so we can just multiply them against each other to get the area.

[tex]Area = l * w[/tex]

[tex]Area = 25\ cm * 15\ cm[/tex]

[tex]Area = 375\ cm^2[/tex]

The second side that we are going to solve for is the bottom rectangle.  We are given a width of 12 cm and a length of 25 cm so lets just multiply them against each other to get the area.

[tex]Area = l * w[/tex]

[tex]Area = 25\ cm * 12\ cm[/tex]

[tex]Area = 300\ cm^2[/tex]

The next area that we are going to determine is the back rectangle which has a width of 9 cm and a length of 25 cm so lets just multiply them against each other to get the area.

[tex]Area = l * w[/tex]

[tex]Area = 25\ cm * 9\ cm[/tex]

[tex]Area = 225\ cm^2[/tex]

The final area that we have to determine are the side triangles.  After determining the area of one triangle we will have to multiply it by 2 to get the area for both of the triangles.  We are given a base of 12 cm and a height of 9 cm so lets just use the formula to find the area.

[tex]Area = \frac{1}{2}* b*h[/tex]

[tex]Area = \frac{1}{2}* 12\ cm*9\ cm[/tex]

[tex]Area = 54\ cm^2[/tex]

Multiply it by two to get the area for both of the triangles.

[tex]Area = 54\ cm^2 * 2[/tex]

[tex]Area = 108\ cm^2[/tex]

Finally, we are onto the last part which is to add up all of the areas and get the surface area after we combine everything.

[tex]Area_{total}=375\ cm^2 + 300\ cm^2 + 225\ cm^2 + 108\ cm^2[/tex]

[tex]Area_{total}=1008\ cm^2[/tex]

Therefore, our final answer is option B, 1008 [tex]cm^2[/tex]

Hope this helps!