Someone please help I don’t understand this at all would really appreciate some help !!!!

In order to find the new bank account balance, we can do a sum of all the deposits and subtraction of all withdrawals to the old balance account,

We are given the points (-1,7) and (3,-3) and we want to calculate the midpoint of the segment that joins this points. REcall that given points (a,b) and (c,d), the midpoint of the segment that joins the points is calculated by averaging each coordinate (that is,adding the coordinates and then dividing them by 2). So the midpoint would be

Mark's height last year was 46 inches.

Mark definitely grows over the past year. Let the height he grew be x.

Then, Mark's new height will be

Let us represent Mark's height with M and Peter's height with P.

This means that

and, from the question, Peter's height is

The question says that Mark's height is 3 inches less than Peter's height. This we can write as

Therefore, if we put Mark's and Peter's ages into equation c, we can find a value for x as follows:

Since 46 + x = M, then Mark's height is 48 inches

Using the z-distribution, it is found that the 95% confidence interval is (0.45 , 0.52), and it does not provide strong evidence against that belief.

A confidence interval of proportions is given by:

[tex]\pi[/tex] ± [tex]z\sqrt{\frac{\pi (1-\pi )}{n} }[/tex]

where [tex]\pi[/tex] is the sample proportion, z is the critical value and n is the sample size.

In this problem, we have 95% confidence level, hence [tex]\alpha[/tex] = 0.95, z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2}[/tex] = 0.975, so the critical value is z = 1.96

We have that a random sample of 860 births in a state included 423 boys, hence the parameters are given by:

n = 864, [tex]\pi =\frac{423}{860}[/tex] = 0.49

Then the bounds of the interval are given by:

[tex]\pi[/tex] + [tex]z\sqrt{\frac{\pi (1-\pi )}{n} }[/tex] = 0.49 + [tex]1.96\sqrt{\frac{0.49(0.513)}{860} }[/tex] = 0.52

[tex]\pi[/tex] - [tex]z\sqrt{\frac{\pi (1-\pi )}{n} }[/tex] = 0.49 - [tex]1.96\sqrt{\frac{0.49(0.513)}{860} }[/tex] = 0.45

The 95% confidence interval estimate of the population of boys in all births is (0.45 , 0.52). Since the interval contains 0.513, it does not provide strong evidence against that belief.

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Answer: {(1,3),(1,4),(2,3),(2,4)}

Step-by-step explanation:

Step -1: Define the Cartesian product.

              Cartesian product: If A and B are two non empty sets, then  

              Cartesian product A×B is set of all ordered pairs (a,b) such that a∈A and b∈B.

Step -2: Find the Cartesian product of given sets.

              We have given,

              A={1,2} and B={3,4}

              So, A×B={(1,3),(1,4),(2,3),(2,4)}

Hence, option A. {(1,3),(1,4),(2,3),(2,4)} is correct answer.

Answer:

Step-by-step explanation:

Linear functions are represented by the following expression:

m is the constant rate of change of the function, and it's calculated as the change in y over the change in x:

The y-intercept of a linear function is when the line crosses the y-axis, which means when x=0.

Therefore, the y-intercept of the line is 15.

Given

To find:

Explanation:

It is given that,

That implies,

The given scatter plot points are increasing, indicating a rise in data points, direction oriented to the right and the strength of scatter plot points correlation is moderately strong.

A graph with dots is shown to indicate the relationship between two sets of data.

According to the given scatter plot, the scatter plot points are increasing, indicating a rise in data points, and we may conclude that the correlation is positive.

The scatter plots are now oriented to the right. As a result, we may claim that the correlation is moderately strong.

Thus. the given scatter plot points are increasing, indicating a rise in data points, direction oriented to the right and the strength of scatter plot points correlation is moderately strong.

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If two lines are perpendicular, then the product of their slopes is equal to -1.

If two lines are parallel, then their slopes are equal.

Write the equation of the lines P and Q in slope-intercept form by isolating y. Compare their slopes to see if they are either parallel or pependicular, or none.

The equation of a line with slope m and y-intercept b in slope-intercept form, is:

Line P:

Then, the slope of the line P is -2.

Line Q:

Then, the slope of the line Q is -2.

Since both lines have the same slope, then they are parallel.

P(A∪B) = P(A) + P(B) - P(A∩B)

where P(A) is the probability of A happening

P(B) is the probability of B happening

P(A∪B) is the probability of A or B happening

P(A∩B) is the probability of A and B happening

P(A) = 0.5, P(B) = 0.65 and P(AUB) = 0.75

.75 = .5+ .65 - P(A∩B)

.75 =1.15 - P(A∩B)

.75 - 1.15 = -P(A∩B)

-.4 = -P(A∩B)

.4 =P(A∩B)

P(A∩B) = .4

Okay, here we have this:

Considering the provided expression, we are going to identify to which is equivalent, so we obtain the following:

We obtain that the correct answer is the option C, because:

Answer:

4

Step-by-step explanation:

By the exterior angle theorem,

[tex]27x+2=65+10x+5 \\ \\ 27x+2=10x+70 \\ \\ 17x=68 \\ \\ x=4[/tex]

SOLUTION

Notice that line BA is a radius of the circle.

Since line BC is a tangen then the measure of angle ABC is:

Using Triangle Angle-Sum Theorem, it follows:

This gives:

Solving the equation gives:

Therefore the required answer is:

Answer:

To get the additive inverse of a positive number you put a minus in front of it and to get the additive inverse of a negative number, you remove the minus to make it a positive number.

The monthly rate of change in demand is -$40.7.

The slope of a graphed function is determined using the average rate of change formula. The method for finding the slope is differentiation.

A price-demand relation equation is given.

2x²-5xp + 55p²=23,200.

Differentiate the given equation with time

[tex]\begin{aligned}&4 x \frac{d x}{d t}-5\left(x \frac{d p}{d t}+p \frac{d x}{d t}\right)+110 p \frac{d p}{d t}=0 \\&4 x \frac{d x}{d t}-5 p \frac{d x}{d t}=5 x \frac{d p}{d t}-110 p \frac{d p}{d t} \\&(4 x-5 p) \frac{d x}{d t}=(5 x-110 p) \frac{d p}{d t} \\&\frac{d x}{d t}=\frac{(5x-110 p)}{(4 x-5p)} \frac{d p}{d t}\end{aligned}[/tex]

Put the value of p in the original equation.

For p=20

[tex]2x^{2} -5x\times 20+ 55\times20^{2}=23200\\2x^{2}-100x+22000=23200\\2x^{2}-100x-1200=0\\x^{2}-50x-600=0\\x=60 \text{ or }-10[/tex]

Since the price can not be negative, x=60.

Putting these values in the differential equation.

[tex]\frac{d x}{d t}=\frac{(5 x-110 p)}{(4 x-5 p)} \frac{d p}{d t}\\=\frac{(5\times60-110\times 20)}{(4\times60-5 \times20)} \times3\\=\frac{300-2200}{140}\times3\\ =-40.7[/tex]

So, the monthly rate of change in demand is -$40.7.

The minus sign indicates that demand is decreasing.

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Answer:

813.75  can you have .75 of a real?  if not, then 813

Step-by-step explanation:

175 x 4.65 = 813.75

Given that BE is diameter and CD is perpendicular, we can deduct that arcs CE and DE are equal.

Therefore, arc DE is 45°.

Quadratic formula

Where a is the coefficient of the first term, b the coefficient of the second term and c the coefficient of third term

a)

replacing on the quadratic formula

simplify

x has two solutions

b)

rewrite on general form

raplace on quadratic formula

simplify

x has two solutions

Answer:

28.26 square inches.

Explanation:

Given a waffle cone with the following properties:

• Height = 6 inches

• Volume = 56.52 cubic inches.

Note that the base of the cone is a circle and the area of a circle:

Substitute the given values:

The area​ of the base is 28.26 square inches.

Given:

culver inc invested $635250 in a mine estimated to have 847000 tons of ore of uniform grade

So, the estimated cost per unit =

This means the cost = $0.75 per ton

We are required to write the expression:

Without exponents. First, we operate the parentheses:

This is the simplified expression. If we wanted to avoid the exponents, then we have to express the exponents as products:

This is the required expression

For direct variation, an increase or decrease in one variable leads to a proportional increase or decrease in the other variable

Given that y varies directly with x, we would introduce a constant of proportionality, k

The expresion becomes

y = kx

For x = 2 and y = 5,

5 = 2k

k = 5/2 = 2.5

The direct variation equation is

y = 2.5x

Given:

GCF of 24 and 12.

$12180 the insurance company must set aside now at 6% interest compounded semiannually to pay this obligation to Apollo.

This is a problem from the compound interest system. We can solve this problem by following a few steps.

Apollo Enterprises has been awarded an insurance settlement of $6,000 at the end of each 6-month period for the next 12 years with a 6% interest rate. We have to calculate the total amount after 12 years.

To solve this problem we should know the formula for the compound interest method.

Formula:-

A = P {(1 + r/n)^(n.t)}

Here,

Now, we can calculate the value of A.

A = 6000 {( 1 + 6/200 )^2.12} = 6000 ( 1 + 6/200 )^24 = 6000 × 2.03 = 12180

Therefore, the total amount after 12 years is $12180

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a. 20.31% of New York's high school teachers earn between 83,000 and 88,000

b.  18.49% of New York teachers earn between 88,000 and 103,000

c. 1.19%  of New York’s state high school teachers earn less than 73,000

Given,

The salary for high school teachers in 2017 = 97010

Standard deviation = 9540

Consider salaries as normal distribution.

Here,

Mean, μ = 97010, Standard deviation, σ = 9540

a. Percentage of New York's high school teachers earn between 83,000 and 88,000

The proportion is the p-value of Z when X = 88,000 subtracted by the p-value of Z when X = 83,000.

That is,

X = 88,000

Z = (X - μ) / σ = (88,000 - 97010) / 9540 = -9010/9540 = -0.944

The p value of z score - 0.944 is 0.3452

Next,

X = 83,000

Z = (X - μ) / σ = (83,000 - 97010) / 9540 = -14010/9540 = -1.468

The p value of z score - 1.468 is 0.1421

Then,

0.3452 - 0.1421 = 0.2031 = 20.31%

That is,

20.31% of New York's high school teachers earn between 83,000 and 88,000

b. Percentage of New York teachers earn between 88,000 and 103,000

The proportion is the p-value of Z when X = 103,000 subtracted by the p-value of Z when X = 88,000

X = 103,000

Z = (X - μ) / σ = (103,000 - 97010) / 9540 = 5990/9540 = 0.6279

The p value of z score 0.6279 is 0.5301

Next,

X = 88,000

Z = (X - μ) / σ = (88,000 - 97010) / 9540 = -9010/9540 = -0.944

The p value of z score - 0.944 is 0.3452

Then,

0.5301 - 0.3452 = 0.1849 = 18.49%

That is,

18.49% of New York teachers earn between 88,000 and 103,000

c.  Percentage of new York’s state high school teachers earn less than 73,000

The proportion is the p-value of Z when X = 73000

X = 73,000

Z = (X - μ) / σ = (73,000 - 97010) / 9540 = -24010/9540 = -2.516

The p value of z score - 2.516 is 0.0119

That is,

1.19%  of New York’s state high school teachers earn less than 73,000

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x = 1/2, x = -1/2

Simplify:

4|x| + |-4| = |-6|

4|x| + 4 = 6

4|x| = 2

|x| = 1/2

Solutions:

1) x = 1/2

2) x = -1/2

Answer:  600 divided by 2 + 40

Step-by-step explanation:

Answer:

2x + 40 = 600

2x = 560

x = 280.

Your friends guitar costs $280.

Step-by-step explanation:

Set the equation equal to $600, the cost of the new guitar. Let the variable, x, represent the cost of your friends guitar. Since your guitar was + 40 more than double the cost of your friend’s, this can be written as an equation:

2x + 40 = 600

Explanation:

We are told that the rate at which the pump dumps the pollutant per day to be

To solve the question, let us assume that t is the number of days

So, to find the amount dumped after 3 days, we will put t =3 into the equation

Therefore, the answer is 0.115

The fisrt part is the divide your angle into two angles, could be 6/12π and 5/12π

For the sum formula:

For the difference formula:

Both methods work and result in the same answeer

2x=-1+6

2x=5

x=3

so the answer is 3