) How many digits are in the number 13,692,540?​

Answer:

$1.50

Step-by-step explanation:

They each bought one bottle of water, but one of them bought one less pretz l than th other. The difference in price is $2.50, which means a pretzel is 2.50 . Four pretzels would be $10, which leaves $1.50 fo the water. 3 pretzels would be 7.50, which leaves 1.50 for the water.

Based on the given data, the probability that exactly 2 insects will survive is 0.1402 rounded to four decimal places.

The probability mass function for the binomial distribution is given by:

P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

where X is the random variable representing the number of successes (surviving insects), k is the specific number of successes we're interested in (k=2 in this case), n is the total number of trials (n=11), p is the probability of success (p=0.3), and (n choose k) is the binomial coefficient, which is the number of ways to choose k objects from a set of n objects.

Plugging in the values, we get:

P(X=2) = (11 choose 2) * 0.3² * 0.7²

= (55) * 0.09 * 0.02825

= 0.1402

Therefore, the probability that exactly 2 insects will survive is 0.1402 (rounded to four decimal places).

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Answer:

60

Step-by-step explanation:

The triangle is equilateral, so it is also equiangular.

3x = 180

x = 60

Answer: 60

The total income for the 100 households in the country, where the federal government needs to collect $800,000 in income taxes, is $6,810,000.

The total number for the 100 households is computed using the mathematical operations of multiplication and addition.

Multiplication operation involves multiplying the number of households in each group by the income earned by the group.

Addition operation involves summing the groups' household total income.

The population of the imagined country = 100 households

The expected revenue in income taxes = $800,000

The number of groups in the population = 6

Group    Number of Households    Income       Total Income

Group A                    20                  $12,000        $240,000 (20 x $12,000)

Group B                    20                 $29,000        $580,000 (20 x $29,000)

Group C                    20                 $50,000     $1,000,000 (20 x $50,000)

Group D                    20                 $79,000     $1,580,000 (20 x $79,000)

Group E                     15                $129,000     $1,935,000 (15 x $129,000)

Group F                      5               $295,000     $1,475,000 (5 x $295,000)

Total income =       100                                     $6,810,000

Thus, using mathematical operations, the total income for the 6 groups of 100 households in the country is $6,810,000.

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Using the binomial distribution, it is found that there is a 0.8202 = 82.02% probability that the shipment will make it through the control check.

For each article, there are only two possible outcomes, either it meets the specifications, or it does not. The probability of an article meeting the specifications is independent of any other article, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are:

In this problem:

The probability is:

\(P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)\)

Then:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 8) = C_{10,8}.(0.85)^{8}.(0.15)^{2} = 0.2759\)

\(P(X = 9) = C_{10,9}.(0.85)^{9}.(0.15)^{1} = 0.3474\)

\(P(X = 10) = C_{10,10}.(0.85)^{10}.(0.15)^{0} = 0.1969\)

\(P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.2759 + 0.3474 + 0.1969 =  0.8202\)

0.8202 = 82.02% probability that the shipment will make it through the control check.

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From the figure, we have the coordinates of the vertices:

ABC ==> A(2, 1), B(5, 1), C(1, 5)

A'B'C' ==> A'(-2, 1), B'(-5, 1), C(-1, 5)

Let's determine the type of transformation that occured here.

Apply the rules of rotation.

For a rotation acorss the y-axis, only the x-coordinates of the points will change to the opposite. i.e from negative to positive or from positive to negative.

For a rotation across the y-axis, we have:

(x, y) ==> (-x, y)

From the given graph, we can see that the only the x-coordinates changed from positive to negative.

Therefore, the transformation that occured here is the reflection across the y-axis.

ANSWER:

B) Reflection across the y-axis.

For figure {0}, the number of tiles will be equal to 2.

Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function

Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators

Equation : A mathematical equation is used to equate two expressions.

Given is a graph as shown in the image.

The line passes through point -

(3, 8) and (4, 10)

So, the slope of the line will be -

m = (10 - 8)/(4 - 3)

m = 2

y = 2x + c

For the point (3, 8), we can write -

8 = 6 + c

c = 2

For figure {0}, the number of tiles will be equal to 2.

Therefore, for figure {0}, the number of tiles will be equal to 2.

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Answer: 13

Step-by-step explanation:

4x+3y=-5 solve x :    

4x = -3y + -5           | -3y

1x = -0.75y + -1.25  | : 4

-3x + 7y = 13 solve x :

-3x + 7y = 13              | -7y

-3x = -7y = 13             | : (-3)

Equalization Method Solution: -0.75y+-1.25=2.333y+-4.333

-0, 75y - 1,25 = 2,333y - 4, 333 solve y:

-0, 75y - 1,25 = 2,333y -4, 333    | -2,333y

-3, 083y - 1,25 = -4,333               | + 1, 25

-3. 083y = -3,088                         | : (-3, 083)

y = 1

Plug y = 1 into the equation 4x + 3y = -5 :

4x + 3 · 1           | Multiply 3 with 1

4x + 3 = -5        | -3

4x = -8              | : 4

x = -2

So the solution is:

y = 1, x = -2

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The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:

y - 3 = 1(x - (-1))

Simplifying:

y - 3 = x + 1

Now, we can rewrite the equation in the standard form:

y = x + 4

Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

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-39/100 is the answer according to me ..

Plz mark me as brainliest if u found it helpful

Answer:

20 miles.

Step-by-step explanation:

You're on the right track with your answer of 12. You added the sides you knew & multiplied by 2.

I'm picturing the park like a rectangle. So there are two sides that are 3 miles long, and 2 sides that are 2 miles long. For perimeter, we add all the sides.

3 + 3 + 2 + 2 = 10. And he walked the park twice, so 2 x 10 = 20

The length of the hypotenuse is 12.52 yards.

Given that a right triangle, we need to find the value of the hypotenuse x,

Trigonometric ratios can be calculated by taking the ratio of any two sides of the right-angled triangle.

We can evaluate the third side using the Pythagoras theorem, given the measure of the other two sides. We can use the abbreviated form of trigonometric ratios to compare the length of any two sides with the angle in the base.

Let us consider a right-angled triangle with one of its acute angles to be x. Then the cosine formula is, cos x = (adjacent side) / (hypotenuse), where "adjacent side" is the side adjacent to the angle x, and "hypotenuse" is the longest side (the side opposite to the right angle) of the triangle.

We know that, the cosine of the angle is the ratio of the base to the hypotenuse,

So,

Cos 37° = 10 / x

x = 10 / Cos 37°

x = 12.52

Hence the length of the hypotenuse is 12.52 yards.

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Answer:

\(a_{13}=2(13)+13=39\)

39 is the 13th term

Step-by-step explanation:

Okay so essentially the \(a_n\) is just a substitute for x.

See how in the equation they put n into the x spot:

\(y=mx+b\\a_n=mn+b\\a_n=2n+13\)

They changed the variable names:

\(y=a_n\\m=2\\n=x\\b=13\)

Now we know what the n actually means, plus when they ask about the terms youre trying to find it's based off of that n:

When they say, 13 term, they mean \(a_{13}\) which would be the 13th answer in the series.  So the first term would be based off of \(a_1\)

\(a_1=2(1)+13\\a_1=15\)

So whatever number is in the n position by a is what you'll be plugging into the x spot.

\(y=mx+b\\a_n=2n+13\\a_1=2(1)+13=15\\a_2=2(2)+13=17\\a_3=2(3)+13=19\\a_4=2(4)+13=21\\a_5=2(5) +13=23\\a_6=2(6)+13=25\\a_7=2(7)+13=27\\a_8=2(8) +13=29\\a_9=2(9)+13=31\\a_{10}=2(10)+13=33\\a_{11}=2(11)+13=35\\a_{12}=2(12)+13=37\\a_{13}=2(13)+13=39\)

These are all the answers leading up to the 13th term they asked for, and you can continue thus same equation with whatever number you can put into the n space.

Answer:

I love baby Yoda.

Step-by-step explanation: His little blushies, his cute little smol body, his yawns and his kawaiiness in general makes you love him. You unconsciously go awwww <3

Answer:

Baby Yoda is indeed very cute

Step-by-step explanation:

They did a very good job with the CGI in the Mandalorian and baby Yoda deserves all the love it is given

Answer:

A.

Step-by-step explanation:

because a right angle was the same legnth as that figure and also you can make a L so its A

The period of oscillation is 3 seconds

A Oscillation is the periodic change of a measure around a central value or between two or more states, usually in time.

The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle. It is measured in seconds

Oscillation can also be vibration or revolution or cycle.

Therefore, using the graph to determine the period. Then the wave particle made a complete oscillation at 3 second.

This means that the period of the particle is 3 seconds.

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Answer:

I think answer is D but it could be wrong not sure

Answer:

C. Q′ (−3, −4)  

D. Q′ (−4, −3)

Step-by-step explanation:

From looking at the graph it looks like the answer would be

Q= (3, -4) if the X-axis goes first

Q= (-4, 3) if the Y-axis goes first

Answer:

50%

Step-by-step explanation:

75/150 = x/100

x = 50

Answer:

50%

explanation

half of 150 is 75(75x2)

he net income for the year is $16,550.

Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)

Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500

Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800

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Answer:

in the expression 4x - 3y, when x = 2 and y = -5, the result is 23.

Step-by-step explanation:

4x - 3y

Substitute variables.

4(2) - 3(-5)

Multiply 4 and 2.

8 - 3(-5)

Multiply -3 and -5.

8 + 15

Add 8 and 15.

23

Answer:

2.8, pie, 7, 4.6, 17

Step-by-step explanation:

Answer:

y = 1/2 x + 3.

The length of u, to the nearest inch, is 1818 inches.

To solve this problem, we can use the Law of Sines, which states that the ratio of the length of a side of a triangle to the sine of its opposite angle is constant.

In this case, we'll use the following formula:

a/sin(A) = b/sin(B) = c/sin(C)

Let's label the sides and angles of the triangle:

Side a = u (length of u)

Side b = t (820 inches)

Side c = v (length of v)

Angle A = m/U (132°)

Angle B = m2V (25°)

Angle C = 180° - A - B (as the sum of angles in a triangle is 180°)

Now, we can use the Law of Sines to set up the equation:

u/sin(A) = t/sin(B)

Plugging in the given values:

u/sin(132°) = 820/sin(25°)

To find the length of u, we'll solve this equation for u.

u = (820 \(\times\) sin(132°)) / sin(25°)

Using a calculator, we can evaluate the right side of the equation to get the approximate value of u:

u ≈ (820 \(\times\) 0.9397) / 0.4226

u ≈ 1817.54 inches

Rounding to the nearest inch, we have:

u ≈ 1818 inches

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