13 candy bars weigh 390 what is the weight of 35 candy bars​

Answer:

76

Step-by-step explanation:

4^2 x 5^2 - 18^2

PEMDAS is our acronym for order of operations: Parentheses, exponents, multiplication, division, addition, subtraction.

Since we have no parentheses, we'll calculate the numbers and exponents (PEMDAS) first. "to the power of 2" is also called "squared" and means multiplying that number by itself.

(4x4) x (5x5) - (18x 18)

=16 x 25 - 324

Now we multiply: (PEMDAS)

= 400 - 324

then subtract: (PEMDAS)

=76

Answer:

76

Step-by-step explanation:

See 4^2 = 4x4 = 16

5^2 = 5x5 = 25

18^2 = 18x18 = 324

So it is

16 x 25 - 324

= 76

Hope it helps :D

The scenario that could be modelled with an exponential function is when Tim adds $10 to his savings account each week.

A function assigns the value of each element of one set to the other specific element of another set.

As we know that a continuous compounding function is an exponential function. Therefore, we need to find the situation where the principal amount is invested for an infinitely long time.

A.) Since the amount is invested and a certificate of deposit is taken the amount will be invested for a fixed period of time. Thus, this is not a continuous compound function.

B.) The amount put into the account and taken out of the account varies for each term. Thus, this is not a continuous function.

C.) As in Jaylon's account the money is reduced by $125 every month, therefore, at a certain point, it will become zero. Thus, this is not a continuous compound function.

D.) As Tim adds $10 to his saving account every month, and there is no time specified, also the account will be always positive. Thus, this is a continuous compound function.

Hence, the scenario that could be modelled with an exponential function is when Tim adds $10 to his savings account each week.

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The expression that represent the perimeter of the triangle is 3d² - 4d + 1.

The perimeter of any two-dimensional figure is simply the distance around the figure.

Hence, the perimeter of the triangle is the sum of all its 3 side lengths.

From the diagram:

Side length 1 = ( d² + 3 )

Side length 2 = ( 4d² + 3d - 2 )

Side length 3 = ( -2d² - 7d )

Hence, the perimeter of the triangle will be:

Perimeter = side length 1 + side length 2 + side length 3

Plug in the expressions

Perimeter = ( d² + 3 ) + ( 4d² + 3d - 2 ) + ( -2d² - 7d )

Collect and add like terms:

Perimeter = d² + 3 + 4d² + 3d - 2 + -2d² - 7d

Perimeter = d² + 4d² - 2d² + 3d - 7d + 3 - 2

Perimeter = 3d² - 4d + 1

Therefore, the perimeter is 3d² - 4d + 1.

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You have the following equation:

y = 3x

The general form of the equation of the line is:

y = mx + b

where m is the slope and b is the y-intercept. By comparing the general form of the equation of the line, with the given equation y=3x, you can notice that the slope is m = 3 and that the y-intercept is b = 0.

The following image is a graph of the equation:

Answer:

-36

Step-by-step explanation:

2 [3(-1) - 5(3) ]

2 [-3-15]

2[-18]

-36

Answer:

-36

Step-by-step explanation:

since you say x=-1and y=3, you will put 1 in where x is and 3 where y is ,that is 2(3×-1]-5×3)

2(-3-15) then you subtract the bracket, that is 3-15 and it will give you -18. Then you use the 2 outside the bracket to multiply -18 ,that is 2×-18then it will give -36

Answer:

\(80\times3\)

Step-by-step explanation:

Based on the given conditions, formulate:  \(80\times3\)

Calculate the product or quotient: 240

get the result: 240

Answer: 240

To find this answer, we had to use the expression 80 * 3, therefore making it the answer.

Answer:

240

Step-by-step explanation:

80*3=240

so u multiply the equation

Answer:

(a)                             n :      20           50          100         500

P (-200 < X - μ < 200) : 0.2886    0.4444    0.5954    0.9376

(b) The correct option is (b).

Step-by-step explanation:

Let the random variable X represent the amount of deductions for taxpayers with adjusted gross incomes between $30,000 and $60,000 itemized deductions on their federal income tax return.

The mean amount of deductions is, μ = $16,642 and standard deviation is, σ = $2,400.

Assuming that the random variable X follows a normal distribution.

(a)

Compute the probability that a sample of taxpayers from this income group who have itemized deductions will show a sample mean within $200 of the population mean as follows:

\(P(\mu-200<X<\mu+200)=P(\frac{(16642-200)-16642}{2400/\sqrt{20}}<\frac{X-\mu}{\sigma/\sqrt{n}}<\frac{(16642+200)-16642}{2400/\sqrt{20}})\)

                                           \(=P(-0.37<Z<0.37)\\\\=P(Z<0.37)-P(Z<-0.37)\\\\=0.6443-0.3557\\\\=0.2886\)

\(P(\mu-200<X<\mu+200)=P(\frac{(16642-200)-16642}{2400/\sqrt{50}}<\frac{X-\mu}{\sigma/\sqrt{n}}<\frac{(16642+200)-16642}{2400/\sqrt{50}})\)

                                           \(=P(-0.59<Z<0.59)\\\\=P(Z<0.59)-P(Z<-0.59)\\\\=0.7222-0.2778\\\\=0.4444\)

\(P(\mu-200<X<\mu+200)=P(\frac{(16642-200)-16642}{2400/\sqrt{100}}<\frac{X-\mu}{\sigma/\sqrt{n}}<\frac{(16642+200)-16642}{2400/\sqrt{100}})\)

                                           \(=P(-0.83<Z<0.83)\\\\=P(Z<0.83)-P(Z<-0.83)\\\\=0.7977-0.2023\\\\=0.5954\)

\(P(\mu-200<X<\mu+200)=P(\frac{(16642-200)-16642}{2400/\sqrt{500}}<\frac{X-\mu}{\sigma/\sqrt{n}}<\frac{(16642+200)-16642}{2400/\sqrt{500}})\)

                                           \(=P(-1.86<Z<1.86)\\\\=P(Z<1.86)-P(Z<-1.86)\\\\=0.9688-0.0312\\\\=0.9376\)

                                 n :      20           50          100         500

P (-200 < X - μ < 200) : 0.2886    0.4444    0.5954    0.9376

(b)

The law of large numbers, in probability concept, states that as we increase the sample size, the mean of the sample (\(\bar x\)) approaches the whole population mean (\(\mu_{x}\)).

Consider the probabilities computed in part (a).

As the sample size increases from 20 to 500 the probability that the sample mean is within $200 of the population mean gets closer to 1.

So, a larger sample increases the probability that the sample mean will be within a specified distance of the population mean.

Thus, the correct option is (b).

Using the normal distribution and the central limit theorem, it is found that:

a)

0.2886 = 28.86% probability that a sample size of 20 has a sample mean within $200 of the population mean.

0.4448 = 44.48% probability that a sample size of 50 has a sample mean within $200 of the population mean.

0.5934 = 59.34% probability that a sample size of 100 has a sample mean within $200 of the population mean.

0.9372 = 93.72% probability that a sample size of 500 has a sample mean within $200 of the population mean.

b)

b. A larger sample increases the probability that the sample mean will be within a specified distance of the population mean.

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

Hence, the probability of sample of size n having a sample mean within 200 is the p-value of \(Z = \frac{200}{s}\) subtracted by the p-value of \(Z = -\frac{200}{s}\)

In this problem:

Item a:

For samples of 20, \(n = 20\), and thus:

\(s = \frac{2400}{\sqrt{20}}\)

Then

\(Z = \frac{200}{s} = \frac{200}{\frac{2400}{\sqrt{20}}} = 0.37\)

0.6443 - 0.3557 = 0.2886.

0.2886 = 28.86% probability that a sample size of 20 has a sample mean within $200 of the population mean.

For samples of 50, \(n = 50\), and thus:

\(s = \frac{2400}{\sqrt{50}}\)

Then

\(Z = \frac{200}{s} = \frac{200}{\frac{2400}{\sqrt{50}}} = 0.59\)

0.7224 - 0.2776 = 0.4448.

0.4448 = 44.48% probability that a sample size of 50 has a sample mean within $200 of the population mean.

For samples of 100, \(n = 100\), and thus:

\(s = \frac{2400}{\sqrt{100}}\)

Then

\(Z = \frac{200}{s} = \frac{200}{\frac{2400}{\sqrt{100}}} = 0.83\)

0.7967 - 0.2033 = 0.5934

0.5934 = 59.34% probability that a sample size of 100 has a sample mean within $200 of the population mean.

For samples of 500, \(n = 500\), and thus:

\(s = \frac{2400}{\sqrt{500}}\)

Then

\(Z = \frac{200}{s} = \frac{200}{\frac{2400}{\sqrt{500}}} = 1.86\)

0.9686 - 0.0314 = 0.9372

0.9372 = 93.72% probability that a sample size of 500 has a sample mean within $200 of the population mean.

Item b:

A larger sample size reduces the standard error, as \(s = \frac{\sigma}{\sqrt{n}}\), that is, the standard error is inversely proportional to the square root of the sample size n, meaning that values are closer to the mean. Thus, the correct option is:

b. A larger sample increases the probability that the sample mean will be within a specified distance of the population mean.

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Step-by-step explanation:

Given

(4*10^10)(9*10^-5)

= 36 * 10^10 - 5

= 36 * 10^5

= 3.6 * 10^6

Hope it will help :)

1  is the steady state average number in system .

What is math average?

The middle number, which is determined by dividing the sum of all the numbers by the total number of numbers, is the average value in mathematics.

                            When determining the average for a set of data, we add up all the values and divide this sum by the total number of values.

Given that in a system with a single , capacity 1 server with random exponential

    In - arrival with 1 minutes = λ₂

 Exponential(.5) minutes processing time = λ₁

 So  average custom 12 system is given by =  λ₁/λ₂/1- λ₁/λ₂

                      = 0.5/1/1 - 0.5/1

                        = 0.5/1 - 0.5

                        = 1

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The total tax that the employee is liable for paying will be $17,836 if the taxpayer declares $100,000 as income on the finished Form 1040.

An income range that is subject to a particular income tax rate is referred to as a tax bracket. A progressive tax system includes tax brackets, which indicates that when an individual's income increases, the amount of the tax rates increases gradually. Tax rates for low-income taxpayers are generally low, whereas those for high-income taxpayers are often higher.

For instance, a single filer in 2022 with $100,000 in taxable income will pay $17,836 in taxes, or an average tax rate of 18%. Your effective marginal tax rate, however, is 24%. As a result, the employee is accountable for paying a total of $17,836 in taxes.

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Answer:

Perimeter=8x +34

Step-by-step explanation:

The only missing side if the shape is the slant side .

To determine the slant height we'll use the right angle rule and take the slant side as the hypotenuse.

For the slant side, let it be y

(2(x+7) -(x+5 +x-3))² +((2x+5)-(2x))²= y²

(2x+14-2x-2)² + (5)² = y²

(12)² +25 = y²

144+25 = y²

169= y²

Y= √169

Y= 13

Now the perimeter= 2(x+7)+(2x+5)+(x-3)+(2x)+(x+5)+13

Perimeter= 2x+14+2x+5+x-3+2x+x+5+13

Perimeter=8x +34

Answer:(-2,-6)

Step-by-step explanation:Put it in a graph and it should be the dot in the direct middle

Answer:

f(x)= (x+2)^2-6

Step-by-step explanation:

To sell the article at a price of Rs. 2063.38 after applying 13% VAT, a discount of approximately 6.21% is given on the marked price of Rs. 2200.

Let's break down the given information to solve for the discount percent:

1. The marked price of the article is Rs. 2200.

2. After allowing a certain percent of discount, the article is sold at Rs. 2063.38, including 13% VAT.

Let's assume the discount percent as 'x'. We can calculate the discounted price using the formula:

Discounted Price = Marked Price - (Discount Percent/100) * Marked Price

Substituting the given values, we have:

2063.38 = 2200 - (x/100) * 2200

Now, let's solve the equation to find the value of 'x':

2063.38 = 2200 - 22x

Rearranging the equation, we have:

22x = 2200 - 2063.38

22x = 136.62

x = 136.62 / 22

x ≈ 6.21

Therefore, the discount percent is approximately 6.21%.

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The values into the slope-intercept form, we have y = -5x - 6

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

y = mx + b

where 'm' represents the slope of the line, and 'b' represents the y-intercept.

In this case, the y-intercept is (0, -6), which means that the line crosses the y-axis at the point (0, -6).

The slope is given as -5.

Therefore, substituting the values into the slope-intercept form, we have:

y = -5x - 6

This equation represents the line with a y-intercept of (0, -6) and a slope of -5.

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Answer:

Step-by-step explanation:

Given the expression \(log_81000 = log_210\), to prove this expression is true using the properties of logarithm, we will follow the following steps.

Starting from the Left Hand Side:

a) The probability the minutes reading is 15 is 1.667%.

b) The probability the minutes reading is 15 or less is 25%.

Probability is the likelihood or chance that an expected outcome occurs when other events can equally happen or occur.

Probability is a fractional value when it is less than 1 and more than 0.  When the event is inevitable, its probability is depicted as 1.  On the other hand, when the event is unlikely to occur, its probability is shown as 0.

As a fractional value, we use decimals, fractions, and percentages to show probability.

The probability of the minutes reading being 15 = 1/60 or 1.667% (1/60 x 100)

The probability of the minutes reading being 15 or less = 25% (1.667% x 15) or (15/60 x 100).

Thus, there is a one in 60 chance that the minute reading is 15 and a 25% in 60 cases that the minute reading is 15 or less.

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Answer:

510 minutes.

Step-by-step explanation:

i hope this helped you! :)

510 MINUTES!! :)

Hope this helped!

Answer:

12

Step-by-step explanation:

Here we use SOHCAHTOA

Seeing as we have the hypotenuse and we are working to find out the opposite, we use SOH

Sin(x)= Opposite/Hypotenuse

Sin(45) = x/\(12\sqrt{2} \\\)

×12 root 2

sin(45) times 12 root 2=  12

x=12

Answer:

16. (80)(60) = 4800

17. (500)(600) = 300000

18. (700)(800) = 560000  a). high

Step-by-step explanation:

Answer:

x + (4/ x-2) + (2/ x-1)

Step-by-step explanation:

x + (6x/ x^2 + 2x - x -2)

x + (6x/ (x + 2) X (x - 1))

(6x/ (x + 2) X (x - 1))

(A/ x+2) + (B/ x-1)

(6x/ (x + 2) X (x - 1)) = (A/ x+2) + (B/ x-1)

6x = Ax + Bx - A + 2B

6x = (A+B)x + (-A+2b)

{0 = -A+2B

{6 = A+B

(A,B) = (4, 2)

(4/ x+2) + (2/ x-1)

x + (4/ x-2) + (2/ x-1)

Answer:

\(\displaystyle 64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\approx3.66\)

Step-by-step explanation:

\(\displaystyle \iint_R(3x-y)\,dA\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r\cos\theta-r\sin\theta)\,r\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0(3r^2\cos\theta-r^2\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\int^4_0r^2(3\cos\theta-\sin\theta)\,dr\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\frac{64}{3}(3\cos\theta-\sin\theta)\,d\theta\\\\=\int^\frac{\pi}{2}_\frac{\pi}{4}\biggr(64\cos\theta-\frac{64}{3}\sin\theta\biggr)\,d\theta\)

\(\displaystyle =\biggr(64\sin\theta+\frac{64}{3}\cos\theta\biggr)\biggr|^\frac{\pi}{2}_\frac{\pi}{4}\\\\=\biggr(64\sin\frac{\pi}{2}+\frac{64}{3}\cos\frac{\pi}{2}\biggr)-\biggr(64\sin\frac{\pi}{4}+\frac{64}{3}\cos\frac{\pi}{4}\biggr)\\\\=64-\biggr(64\cdot{\frac{\sqrt{2}}{2}}+\frac{64}{3}\cdot{\frac{\sqrt{2}}{2}}\biggr)\\\\=64-32\sqrt{2}+\frac{32\sqrt{2}}{3}\biggr\\\\\approx3.66\)

The intermediate step in completing the square is\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\)

To complete the square for the equation \($(x+a)^2=b$\), we can follow these steps:

1. Expand the left side of the equation: \($(x+a)^2 = (x+a)(x+a) = x^2 + 2ax + a^2$\).

2. Rewrite the equation by isolating the squared term and the linear term: \($x^2 + 2ax = b - a^2$\).

3. To complete the square, take half of the coefficient of the linear term, square it, and add it to both sides of the equation:

\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\).

4. Simplify the right side of the equation: \($x^2 + 2ax + (a^2) = b$\).

This step can be represented as: \(\[x^2 + 2ax + (a^2) = b - a^2 + (a^2)\]\)

This intermediate step helps us rewrite the equation in a form that allows us to factor it into a perfect square.

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D :- 10 - 25 = -5

4 - 5 = -1

Required Answer:- -1

Answer:

I believe it's true. Good Luck! :)

Step-by-step explanation:

Answer:

C: 1/2

Step-by-step explanation:

Use the slope formula

Answer:1/2

Step-by-step explanation:

1__1/_2__6

Answer:

A

Step-by-step explanation:

Because melting is caused when atoms move faster and faster until the bonds weaken/break.

Answer:

33

Step-by-step explanation: