Can you solve this? I'm terrible at math

The standard deviation is 5.05 households, while the mean is 170 households.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a larger range, a low standard deviation suggests that the values tend to be near to the established mean.

Here,

n=200

p=85%

mean=200*85%

=170

standard deviation=√(np(100-p))

=√(170*(100-85))

=√(170*15%)

=25.5

=5.0497

=5.05

The mean is 170 households, and the standard deviation is 5.05 households.

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If the three numbers of a square in the complex plane are \(-19+32i,-5+12i and -22+15i\) , then the fourth complex number \(-2+19i\).

Given \(-19+32i,-5+12i and -22+15i\) are three numbers.

Complex numbers are those numbers which extends the real numbers with an imaginary i. In this \(i^{2}=-1\). Major complex numbers are in the form a+ bi where a and b are real numbers.

let the fourth complex numbers be \(x+yi\). Then according to question;

=\((-22+15i)-(-5+12i)\)

=(cos π/2+i sin π/2) \((x+yi)-(-5+12i)\)

\(-17+3i=-y+12\)\(+(x+5)i\)

Now solving for x and y by equating both sides.

x=-2 and y=29

Put the value of x and y in \(x+yi\)

Z=-2+29i

Hence if the three numbers which forms vertices of a square are \(-19+32i,-5+12i,-22+25i\) then the fourth complex numbers be \(-2+29i\).

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The number of houses that can be built are 94.

A division is a process of splitting a specific amount into equal parts.

Given that, a construction company plans to build houses. The company will use \(23\frac{1}{2}\) acres of land to build houses. Each house will be built on a 1/4 acre lot.

We need to find the number of houses that can be built,

To find the number of houses, we will divide total area by area of one house.

Therefore,

Number of house =  \(23\frac{1}{2}\) ÷ 1/4

= 47/2 ÷ 1/4

= 47 x 2

= 94

Hence, the number of houses that can be built are 94.

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Answer:

x = 6

Step-by-step explanation:

In the picture :) Hope that helped!

(i) An exponential function to model this situation, \(A=2500(1.035)^n\).

(ii) The value of the investment after 20 years A =$ 4,974.47 .

When the input variable x appears as an exponent in the formula f(x) = ax, an exponential function is indicated. Both the exponential function and the value of x have an impact on the exponential curve.

An essential mathematical function is the exponential function, which has the following formula:

f(x) = ax

When a>0 and a=1 are not true.

x can be any real number.

The exponential function is given as :

\(A=P(1+r)^n\)

Where :

A = amount

P = principal

r = rate %

n = number of years

the situation can be modelled using an exponential function by substituting.

\(A=2500(1+0.035)^n\\\\A=2500(1.035)^n\)

(ii) when n = 20 , the Amount,

\(A=2500(1.035)^{20}\)

A =$ 4,974.47

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\(\tt{ 3x:10=5:2 }\) ⠀

\(\tt{\dfrac{3x}{10}=\dfrac{5}{2} }\) ⠀

\(\tt{3x×2=10×5 }\) ⠀

\(\tt{6x=50 }\) ⠀

\(\tt{x=\dfrac{50}{6} }\) ⠀

\(\tt{ x=\dfrac{25}{3}}\) ⠀

Answer:

$200

Step-by-step explanation:

200×4%=8

8×3=24

The original amount is $200

Answer:

200

Step-by-step explanation:

The probability that 3 individuals have conditions caused by outside factors is 0.1496

The proportion of heart failures due to outside factors, p = 11% = 0.11

Sample size, n = 15

The formula for binomial distribution is:

                    P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ

Here, x = Number of heart failures.

We are asked to determine the probability that 3 individuals have conditions caused by outside factors

So, here x = 3

                    P(3) = ¹⁵C₃ p³ (1 - p)¹⁵⁻³

                    P(3) = ¹⁵C₃ (0.11)³ (1 - 0.11)¹²

                    P(3) = ¹⁵C₃ (0.11)³ (0.89)¹²

                    P(3) = 455 (0.11)³ (0.89)¹²

                    P(3) = 0.1496

Hence, the probability that 3 individuals have conditions caused by outside factors is 0.1496

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Answer:

-19/5

Step-by-step explanation:

3-7+2/5-1/5

⇒-4+1/5

⇒-20+1/5

answer⇒-19/5

hope it helps

I would perform the ANOVA test (choice 1 of 4).

I would perform the ANOVA test (choice 1 of 4). The ANOVA test is used to test the null hypothesis that the means of all groups are equal, and if the test results in a significant p-value, it suggests that at least one of the group means is significantly different from the others.

Tukey's HSD test (choice 2 of 4) is a post-hoc test that can be used after an ANOVA test to determine which specific groups differ significantly from each other.

The Wilcoxon rank-sum test (choice 3 of 4) is a non-parametric test used to compare the medians of two independent groups.

The Wilcoxon signed-rank test (choice 4 of 4) is a non-parametric test used to compare the medians of two related groups (i.e., paired or matched samples).

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Answer:Range

Step-by-step explanation:the set of all images of the elements in the domain of a function is called the Range .

The set of all images of the elements in the domain of a function is called the range. The range is the set of all possible outputs or y-values that a function can produce for its corresponding inputs or x-values in the domain.

The range can be determined by either analyzing the function algebraically or by graphing it. It is important to note that not all functions have a defined range, as some may produce infinite or undefined outputs. The range plays a crucial role in understanding the behavior and characteristics of a function, as it helps identify its domain and any possible restrictions or limitations.

The set of all images of the elements in the domain of a function is called the range of the function. The range represents the output values of a function that result from applying the function to every element within its domain. In other words, the range consists of all possible values that the function can produce when it is applied to the elements in its domain.

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Answer:

So the inequality for this is 12.5x + 35 ≥ 105

and the amount of visits they need to get to their goal is 6 visits

Step-by-step explanation:

you subtract the points they already have (35) from both sides and you'll get..

12.5x ≥ 70

then you divide 12.5 from both sides and you'll get 5.6, or 6 visits

Answer:

x = 16 units

Step-by-step explanation:

BC = 32√2 / √2 = 32

x = 32/2 = 16

Answer:

Step-by-step explanation:

5x - 3(x + 4)

5x -3x - 12

2x -12

-3 time +4 = -12

The value of x in the triangle is 3.076

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Area = 4√2 m^2

Using the given triangle, we have

Area = 1/2 * (x + 2) * (2x - 3) * sin(45)

So, we have

1/2 * (x + 2) * (2x - 3) * 1/√2 = 4√2

Multiply through by 1/(2√2)

(x + 2) * (2x - 3)= 16

So, we have

2x^2 + 4x - 3x - 6 = 16

This gives

2x^2 + x - 22 = 0

Using a graphing tool, we have

x = 3.076

Hence, the value of x is 3.076

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I'm sorry, but I don't have enough context to answer these questions. It seems like they are related to a specific problem or scenario, but I don't have any information about what that might be. Could you please provide more information or context so I can better understand the questions and provide a helpful response?

A radius of 3cm guarantees uniform-sized meatballs for cooking. Compare the total meatball volume with the pot's remaining capacity. Utilize equation, 6 meatballs cause pot to flood.

The cook employments a radius of 3 centimeters for the meatballs since it permits uniform-sized meatballs, making them less demanding to cook equitably.

To discover the number of meatballs that would make the sauce start to spill over, the cook has to calculate the entire volume of the meatballs and compare it to the pot's remaining capacity after filling it with sauce. The equation for the volume of a circle is V = (4/3) * π * r^3, where "r" is the span of the circle (meatball). The pot's remaining capacity can be calculated as the entire capacity short of the introductory sauce volume.

Given that the pot's capacity is 5 liters, which rises to to 5000 cubic centimeters (1 liter = 1000 cubic centimeters), and the starting sauce volume is since the meatballs are included together with the sauce, the remaining capacity is 5000 cubic centimeters.

Let's accept the number of meatballs is "n," and their add up to volume is V_total = n * (4/3) * π * 3^3 cubic centimeters.

For the pot to flood, the full volume of meatballs and sauce combined ought to surpass the pot's remaining capacity:

V_total > 5000 cubic centimeters.

Presently, able to plug within the esteem of V_total:

n * (4/3) * π * 3^3 > 5000.

Disentangle and illuminate for "n":

n > 5000 / [(4/3) * π * 3^3].

n > 5000 / [4 * 3.14 * 27].

n > 5.95.

Since you cannot have a division of a meatball, the genuine number of meatballs that would make the pot flood is 6.

Hence, the cook would require at slightest 6 meatballs to cause the pot to flood when they are cooked alongside the sauce.

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The complete question:

A cook is planning a clump of meatballs to be cooked in a sauce pot. The sauce pot incorporates a capacity of 5 liters. The meatballs are superbly spherical and are put within the sauce pot in conjunction with the sauce. Each meatball features a span of 3 centimeters.

What is the reason for employing a sweep of 3 centimeters for the meatballs?

How can the cook discover the number of meatballs that would make the sauce start to spill over?

Calculate the real number of meatballs that would make the pot flood, and appear how you arrived at the arrangement employing a equation.

The rate at which the average revenue is changing when 175 belts have been produced and sold is approximately -0.0065 dollars per belt.

To find the rate at which the average revenue is changing when 175 belts have been produced and sold, we need to differentiate the revenue function with respect to x and then evaluate it at x = 175.

The revenue function is given as:

\(R(x) = 45x^(9/10)\)

To find the average revenue, we divide the total revenue by the number of belts produced and sold. So, the average revenue function, AR(x), can be expressed as:

AR(x) = R(x) / x

Differentiating the average revenue function with respect to x using the quotient rule:

\(AR'(x) = (R'(x) * x - R(x)) / x^2\)

Now, let's calculate the derivative of the revenue function R(x):

\(R(x) = 45x^(9/10)\)

Using the power rule, we differentiate R(x) with respect to x:

\(R'(x) = (9/10) * 45 * x^(-1/10)\)

Simplifying:

\(R'(x) = 405/10 * x^(-1/10)\\R'(x) = 40.5 * x^(-1/10)\)

Now, substitute the values into the average revenue derivative formula:

\(AR'(x) = (40.5 * x^(-1/10) * x - 45x^(9/10)) / x^2\)

Simplifying further:

\(AR'(x) = (40.5 * x^(9/10) - 45x^(9/10)) / x^2\\AR'(x) = (40.5 - 45x^(1/10)) / x^2\)

To find the rate at which average revenue is changing when 175 belts have been produced and sold, we substitute x = 175 into AR'(x):

\(AR'(175) = (40.5 - 45(175)^(1/10)) / (175)^2\)

Calculating the value:

AR'(175) ≈ -0.0065

Therefore, the rate at which the average revenue is changing when 175 belts have been produced and sold is approximately -0.0065 dollars per belt.

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Answer:

11 boxes of candles

Step-by-step explanation:

first, set it up as an equation. let x stand for the amount of boxes she needs.

100=8x+15

next, subtract 15 from both sides of the equation.

100-15=8x+15-15

85=8x

then, you need to get x by itself. to do this, divide 8 from both sides of the equation.

85/8=8x/8

x=10.62, but you can't buy half a box, so you have to round up.

so, she needs to buy 11 boxes of candles.

Answer:

d) as the number of t-shirts decrease, the number of days increase

Step-by-step explanation:

Answer:sin32°

Step-by-step explanation:

Using the cofunction identity

cosx = sin(90 - x) , then

cos58° = sin(90 - 58)° = sin32°

Step-by-step explanation:

Diversity encompasses multiple dimensions such as life experiences, educational background, geographic origin, and age that is option E.

Diversity encompasses a range of factors including life experiences, educational background, geographic origin, and age. It goes beyond a single dimension and encompasses various aspects that contribute to differences among individuals. By embracing diversity in all its forms, organizations and communities can benefit from a wider range of perspectives, ideas, and talents.

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John Barker's repair shop in Ontario is required to calculate the HST payable or refund for the first reporting period. The HST rate is 13% and the amount before HST sales is $150,000. The total HST collected from sales is $19,500 and the total ITCs are $19,790. The net HST payable/refund is $19,500 - $19,790 and the correct option is d) A refund of $5,980.

Given the following information for John Barker's repair shop in Ontario, we are required to calculate the HST payable or refund for the first reporting period. The HST rate for Ontario is 13%.Amount Before HST Sales $150,000 Equipment purchased $96,000 Supplies purchased $83,000 Wages paid $19,000 Rent paid $17,000Let's calculate the total HST collected from sales:

Total HST collected from Sales= HST Rate x Amount before HST Sales

Total HST collected from Sales= 13% x $150,000

Total HST collected from Sales= $19,500

Let's calculate the total ITCs for John Barker's repair shop:Input tax credits (ITCs) are the HST that a business pays on purchases made for the business. ITCs reduce the amount of HST payable. ITCs = (HST paid on eligible business purchases) - (HST paid on non-eligible business purchases)For John Barker's repair shop, all purchases are for business purposes. Hence, the ITCs are the total HST paid on purchases.

Total HST paid on purchases= HST rate x (equipment purchased + supplies purchased)

Total HST paid on purchases= 13% x ($96,000 + $83,000)

Total HST paid on purchases= $19,790

Let's calculate the net HST payable or refund:

Net HST payable/refund = Total HST collected from sales - Total ITCs

Net HST payable/refund = $19,500 - $19,790Net HST payable/refund

= -$290 Since the Net HST payable/refund is negative,

it implies that John Barker's repair shop is eligible for an HST refund. Hence, the correct option is d) A refund of $5,980.

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Answer: A. 14,841

Step-by-step explanation:

Answer:

\(t^{6}\)

Step-by-step explanation:

I am going to assume exponents for this question.

\(\frac{t^{8}}{t^{2}}\)

When dividing exponents with the same base, it is simply subtraction, so 8 - 2 = 6 which produces the answer.

Answer:

bh/2

Meaning :

base times height, halfed

Answer:

Step-by-step explanation:

A = hb/2 or 1/2×hb

Where h is the vertical height and b is the base length.

Answer:

x = 24

Step-by-step explanation:

if a and b are parallel then

62 and 5x - 2 are same- side interior angles and sum to 180° , that is

5x - 2 + 62 = 180

5x + 60 = 180 ( subtract 60 from both sides )

5x = 120 ( divide both sides by 5 )

x = 24

thus for a to be parallel to b , then x = 24

The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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Answer: A, (6, -9)

hope this helps:)

Answer:

Share of A = 150 grams

Share if B = 135 grams

Step-by-step explanation:

Weight of A = 50 kg

Weight of B = 45 kg

ratio of weights = 50 : 45 = 10 : 9

Let the common multiplier of the ratio be x.

-> 10x + 9x = 285

-> 19x = 285

-> x = 285/19

-> x = 15

-> 10x = 150

-> 9x = 135

Share of A = 150 grams

Share if B = 135 grams