Simply -15+(-3.7+9.15 /5)•32-4.7

Answer:

42

Step-by-step explanation:

Answer:

Step-by-step explanation:

If one-third of a number y is 14, we can express this mathematically as:

1/3 y = 14

To solve for y, we can isolate y on one side of the equation by multiplying both sides by 3:

1/3 y * 3 = 14 * 3

Simplifying, we get:

y = 42

Therefore, the number is 42.

The interest paid in the 11th year of a $95,000 mortgage with a 5.5% interest rate and a 25-year term is approximately $3,638.

This is calculated by first determining the remaining balance after 10 years, which is $64,516. Then, the interest paid for each monthly payment in the 11th year is calculated, and the sum of these monthly interest payments is $3,638.

Here are the steps involved in calculating the interest paid in the 11th year:

Input the loan amount ($95,000), the interest rate (5.5%), and the loan term (25 years) into a mortgage calculator.

Determine the remaining balance after 10 years.

Calculate the monthly payment for the mortgage.

Calculate the interest paid for each monthly payment in the 11th year.

Sum the monthly interest payments to get the total interest paid in the 11th year.

The total interest paid in the 11th year can also be calculated using the following formula:

Interest paid = (Remaining balance × Interest rate) / 12

In this case, the interest paid in the 11th year is:

Interest paid = ($64,516 × 0.055) / 12 = $3,638

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The null hypothesis is \(H_0:\mu=3\) and the alternative hypothesis is \(H_1:\mu > 3\)

There are two hypothesis considered in a statistical test. They are:

Formulation of null and alternative hypothesis are considered as the first step of a statistical procedure. The whole procedure, then, continues on testing whether to accept or reject these hypotheses.

Null Hypothesis is the actual hypothesis which is tested. Alternative hypothesis, as its name suggests, is the hypothesis accepted when the null hypothesis is rejected in the test carried out.

Here the sociologist is carrying out the test on the mean number of cars, \(\mu\).

So to check whether the families own more than 3 cars in average,

the null hypothesis will be ,\(\bold{H_0:\mu=3}\)  

and the alternate hypothesis will be,  \(\bold{H_1:\mu > 3}\)

So if the null hypothesis is rejected, then there is the possibility for only more than 3 cars in average.

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Answer:

The answer would be Experiment and A

Step-by-step explanation:

I got it correct

Based on the description of the study embarked upon by Audrey, it can be concluded that the statistical study carried out is an experimental study.

Experimental studies involves the introduction of a treatment on the participants in and then measuring how the participants respond to the treatment given.

Here, the greeting types could be regarded as the treatment as are expected to cause a change in the responses of the customers.

Observational study on the other hand, studies natural effect without trying to influence anything in the process.

Therefore, the experiment could best be attributed as an experimental study.

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Answer:

The third side of the right angled triangle is called hypotenuse.It is the longest side of the right angled triangle.

Let the hypotenuse be c and other two remaining sides a & b.

c = a²+b²

A paired difference experiment with n=50 and ∑xd=530 yielded a test statistic of approximately 7.11. With a significance level of 0.05, we reject the null hypothesis that μd=7.


To test the hypothesis \(H_0: \mu_d = 7\) against the alternative hypothesis \(H_a: \mu_d \neq 7\), where \(\mu_d = \mu_1 - \mu_2\) (the population mean difference), we will use a t-test for paired samples.
The test statistic for a paired sample t-test is given by:
\[ t = \frac{\bar{d} - \mu_0}{\frac{s_d}{\sqrt{n}}} \]
Where:
\(\bar{d}\) is the sample mean difference,
\(\mu_0\) is the hypothesized population mean difference under the null hypothesis,
\(s_d\) is the sample standard deviation of the differences, and
\(n\) is the number of pairs in the sample.

Let’s calculate the test statistic step by step:
Step 1: Calculate the sample mean difference, \(\bar{d}\):
\[ \bar{d} = \frac{\sum{x_d}}{n} \]
Where \(\sum{x_d}\) is the sum of the differences in the sample.
Given that \(\sum{x_d} = 530\) and \(n = 50\), we can find \(\bar{d}\):
\[ \bar{d} = \frac{530}{50} = 10.6 \]

Step 2: Calculate the sample standard deviation of the differences, \(s_d\):
\[ s_d = \sqrt{\frac{\sum{x_d^2} - \frac{(\sum{x_d})^2}{n}}{n – 1}} \]
Where \(\sum{x_d^2}\) is the sum of the squared differences in the sample.
Given that \(\sum{x_d^2} = 7,400\) and \(n = 50\), we can find \(s_d\):
\[ s_d = \sqrt{\frac{7,400 - \frac{530^2}{50}}{50 – 1}} = \sqrt{\frac{7,400 - \frac{280,900}{50}}{49}} = \sqrt{\frac{7,400 – 5,618}{49}} = \sqrt{\frac{1,782}{49}} \approx 3.58 \]

Step 3: Calculate the test statistic:
\[ t = \frac{10.6 – 7}{\frac{3.58}{\sqrt{50}}} \approx \frac{3.6}{0.5061} \approx 7.11 \]
Now that we have the test statistic (approximately 7.11), we can compare it with the critical value from the t-distribution table at a significance level of \(\alpha = 0.05\) (two-tailed test). If the test statistic falls in the rejection region, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

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The information that is needed to write the equation of a line in point-slope form is the location of one ordered pair that lies on the line and the line's slope. The correct option is the first option

From the question, we are to determine the information that is needed to write the equation of a line in point-slope form.

The point-slope form of a line is given as

y - y₁ = m(x - x₁)

Where, (x₁, y₁) is a point on the line

and m is the slope of the line

Thus, in order to write the equation of a line in the point-slope form, the information that are needed are:

1. An ordered pair on the line

2. The slope of the line

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Answer: 1/2, 15/2

Step-by-step explanation:

to solve this absolute value equation, all you need to do is divide the 2 over to the other side of the equation, giving:

|4-x|=7/2

and then you can remove the absolute value symbols and make 2 equations:

4-x=7/2

4-x=-7/2

solve these and you're done!

Answer:

Step-by-step explanation:

Total surface area:

So

TSA

When testing partial correlation, the impact of a third variable is removed.

Partial correlation is a statistical technique used to measure the relationship between two variables while controlling for the effect of one or more additional variables, known as "covariates" or "control variables." By removing the effect of the covariates, the partial correlation measures the direct relationship between the two variables of interest. This technique is useful when we want to examine the relationship between two variables after accounting for the effect of one or more confounding variables.

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The correct answer is option b. -a³b − 8ab² + 7a³b.

To simplify (3a³b − 4ab² 5ab) − (4a³b 4ab² 5ab), you can follow these steps;Identify like terms.

Combine like terms according to the subtraction rules.Use the distributive property to simplify.

Combine the like terms you obtained in step 2.

Solution:On simplifying (3a³b − 4ab² 5ab) − (4a³b 4ab² 5ab),

we get; (3a³b - 4ab² - 5ab) - (4a³b - 4ab² - 5ab)

= 3a³b - 4ab² - 5ab - 4a³b + 4ab² + 5ab

We can now combine the like terms;

= (3a³b - 4a³b) + (-4ab² + 4ab²) + (-5ab + 5ab)

= -a³b + 0 + 0= -a³b

Therefore, the correct answer is option b. -a³b − 8ab² + 7a³b.

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a) The perimeter of Martin's cat enclosure is 220 inch.

b) Martin need to buy 22 bundles each 10 ft long.

The whole distance that a rectangle's boundaries, or its sides, cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the sum of its four sides.

Given,

Wide = 48 inches

Length = 62 inches

a) Perimeter of enclosure:

2 × (length + width)

2× (48 + 62)

2 × 110

220

The perimeter of Martin's cat enclosure is 220 inch.

b)  Wire mesh is sold in rolls that are each 10 ft long.

Dividing it by perimeter:

220 ÷ 10

22

Martin need to buy 22 bundles each 10 ft long.

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Step-by-step explanation:

the domain is the interval or set of all valid input (x) values.

so, x goes through what values ?

we see, from left to right, it is coming from a limitless left (-infinity) and goes seemingly against x = 2 without ever reaching that value.

so, the domain is

-infinity < x < 2

Group 1 will be most likely to choose Program A, while Group 2 will be most likely to choose Program B in the Asian disease problem, reflecting a difference in preferences due to the framing effect.

The pattern of results in the Asian disease problem is typically influenced by a cognitive bias known as the framing effect, which suggests that people's choices are influenced by the way options are presented or framed.

In Group 1, where the options are presented in terms of potential lives saved, participants are more likely to choose Program A because it guarantees the saving of 200 out of 600 people. The probabilistic nature of Program B, with a 1/3 chance of saving all 600 people and a 2/3 chance of saving no one, may seem riskier and less favorable in this framing.

On the other hand, in Group 2, where the options are presented in terms of potential deaths, participants are more likely to choose Program B. The probabilistic nature of Program B, with a 1/3 chance of no one dying and a 2/3 chance of everyone dying, may be perceived as a more favorable option compared to the certain death of 400 people under Program A. Therefore, the pattern of results will likely show that Group 1 prefers Program A, while Group 2 prefers Program B. This difference arises from the framing of the options in terms of lives saved or deaths.

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The function can be said to be elastic in nature.

We have the function here given as : QXd = a + b ln PX + c ln M + e

Px = price of the commodity x

M is the income

a. The value of b is the price elasticity of demand. We have it that price is -2.18 as m is 55000 with the price of the good as 4.39.

Hence given that the absolute value of b is greater than 1, we can say that it is elastic in nature

Complete question

Question

The demand function for good X is In Qxd =a+b In Px +c In M+e, where Px is the price of good X and M is income . least square regression reveals that a^ =7.42, b^=-2.18, and c^=0.34,

a^ = 1.8 ,b^ = 1.18 , and c ^= 0.35.

a) if M = 55,000 and Px =4.39, compute the own price elasticity of demand based on these estimates , determine wheather demand is elastic or inelastic

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Answer:

-6.67 im pretty sure

Step-by-step explanation:

4+5=9

9-6=3

3/7=0.43

0.43-7=-6.67

the calculator says sum else but like who cares right? lol

Answer:

-4 6/7

Step-by-step explanation:

4+5-6/7*8-7

Multiply and divide from left to right

4+5-48/7-7

Add and subtract from left to right

9 - 48/7 - 7

Rearrange the order

9-7-48/7

2 - 48/7

Get a common denominator

14/7-48/7

-34/7

-4 6/7

Answer:

Magic Johnson Theaters with a unit price of $2.92

Step-by-step explanation:

To find the unit price divide the total price by the number of containers. 7.56/2 = 3.76

9.85/3 = 3.833...

20.50/7 = 2.92

39/10 = 3.9.

The lowest value is 2.92 which is Magic Johnson Theaters.

The required number of ways in which 10 questions can be selected from 15 would be 15C10 = 3003. the required number of ways in which 2 questions of the first 5 can be answered and 8 from the rest of the questions would be

5C2 × 10C8= (5 × 4/2 × 1) × (10 × 9 × 8 × 7 × 6 × 5 × 4 × 3)/(8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)= 10 × 40,040= 400,400.

A student taking an examination is required to answer exactly 10 out of 15 questions.

(a) In how many ways can the 10 questions be selected?

There are 15 questions and 10 questions are to be selected. The 10 questions can be selected from 15 in (15C10) ways.

Explanation:

Here, the number of ways to select r items out of n is given by nCr, where n is the total number of items, and r is the number of items to be selected. Thus, the required number of ways in which 10 questions can be selected from 15 is:15C10 = 3003.

(b) In how many ways can the 10 questions be selected if exactly 2 of the first 5 questions must be answered?If exactly 2 questions of the first 5 must be answered, then there are 3 questions to be selected from the first 5 and 8 to be selected from the last 10.

Therefore, the number of ways in which exactly 2 questions of the first 5 must be answered is given by: 5C2 × 10C8

Explanation:

Here, the number of ways to select r items out of n is given by nCr, where n is the total number of items, and r is the number of items to be selected. Thus, the required number of ways in which 2 questions of the first 5 can be answered and 8 from the rest of the questions is:

5C2 × 10C8= (5 × 4/2 × 1) × (10 × 9 × 8 × 7 × 6 × 5 × 4 × 3)/(8 × 7 × 6 × 5 × 4 × 3 × 2 × 1)= 10 × 40,040= 400,400.

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Answer:

9300$

Step-by-step explanation:

Answer:

an answer give me 5 stars and ill tell you the right answer deal??

Step-by-step explanation:

use your brain its simple

give me 5 stars and ill tall you the right answer deal??

Answer:

7.8 kg and 9.8 kg

Step-by-step explanation:

the points at which the tangent line to the curve is parallel to the line (-t, 2t) are P1 = (0, -12) and P2 = (-5, -3).

To find the points P at which the tangent line to the curve given parametrically by x(t) = t^3 - 6t and y(t) = -3t^2 is parallel to the line (-t, 2t), we need to find the values of t for which the slopes of the two lines are equal.

The slope of the tangent line to the curve can be found by taking the derivative of y with respect to x:

dy/dx = (dy/dt)/(dx/dt)

dx/dt = 3t^2 - 6

dy/dt = -6t

dy/dx = (-6t) / (3t^2 - 6)

The slope of the line (-t, 2t) is 2.

Setting the slopes equal, we have:

(-6t) / (3t^2 - 6) = 2

Cross-multiplying, we get:

-6t = 2(3t^2 - 6)

Simplifying:

-6t = 6t^2 - 12

Rearranging the equation:

6t^2 + 6t - 12 = 0

Dividing through by 6:

t^2 + t - 2 = 0

Factoring the quadratic equation:

(t + 2)(t - 1) = 0

Setting each factor equal to zero, we get:

t + 2 = 0 => t = -2

t - 1 = 0 => t = 1

These values of t correspond to the points at which the tangent line is parallel to (-t, 2t).

Now, substitute the values of t back into the parametric equations to find the corresponding points P:

For t = -2:

x(-2) = (-2)^3 - 6(-2) = 0

y(-2) = -3(-2)^2 = -12

Therefore, P1 = (0, -12)

For t = 1:

x(1) = (1)^3 - 6(1) = -5

y(1) = -3(1)^2 = -3

P2 = (-5, -3)

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Answer:

4294967293 dots

Step-by-step explanation:

Figure 1 has 5 dots.

Figure 2 has 13 dots.

Figure 3 has 29 dots.

Subtract and find different of each term:

Let \(\displaystyle \large{b_n}\) be sequence of difference (and the sequence appears to be geometric.)

So for \(\displaystyle \large{b_n}\), find the common ratio which is 2.

Hence, \(\displaystyle \large{b_n = 8(2)^{n-1}}\) - recall geometric sequence formula below:

\(\displaystyle \large{a_n = a_1r^{n-1}}\)

The sequence of difference \(\displaystyle \large{b_n=8(2)^{n-1}}\) can be simplified to:

\(\displaystyle \large{b_n=2^3(2)^{n-1}}\\\displaystyle \large{b_n=2^{n+2}}\)

Now to find the original sequence:

\(\displaystyle \large{a_n = a_1 + \sum_{k=1}^{n-1}b_k}\)

Hence:

\(\displaystyle \large{T_n=5+\sum_{k=1}^{n-1}8(2)^{k-1}}\)

Recall:

\(\displaystyle \large{\sum_{k=1}^{n-1} a_1r^{n-1} =a_1\left( \dfrac{1-r^{n-1}}{1-r}\right)}\)

Therefore:

\(\displaystyle \large{T_n=5+\sum_{k=1}^{n-1}8(2)^{k-1}}\\\displaystyle \large{T_n=5+8\left(\dfrac{1-2^{n-1}}{1-2}\right)}\\\displaystyle \large{T_n=5+8\left(\dfrac{1-2^{n-1}}{-1}\right)}\\\\\displaystyle \large{T_n=5+8(-1+2^{n-1})}\\\displaystyle \large{T_n=5-8+8(2)^{n-1}}\\\displaystyle \large{T_n=2^{n+2}-3}\)

Therefore, the sequence for 5,13,29 is \(\displaystyle \large{2^{n+2}-3}\).

Therefore, in figure 30:

\(\displaystyle \large{T_{30}=2^{30+2}-3}\\\displaystyle \large{T_{30}=2^{32}-3}\\\displaystyle \large{T_{30}=4294967293}\)

Therefore, there are 4294967293 dots in figure 30

x/12 + 3 < 7 = x<48 this is the only one i can do because i cant do the others sorry

Answer:

its 100 degrees

Step-by-step explanation:

The value of z if x = 36 and y = 6 is 42

Suppose that y varies directly with x and inversely with z, hence the required expression will be:

y = kx/z

If  y = 4 when x = 8 and z = 14 then;

4 = k(8)/14

8k = 56

k = 7

To  find z when x = 36 and y = 6, we  will have:

6 = 7(36)/z
1 = 7(6)/z

z = 42

Hence the value of z if x = 36 and y = 6 is 42

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Answer:

Keep it simple. Answer:

y=kx/z

  k=7

 z=42

Step-by-step explanation:

The parabola has an axis of symmetry x=22, vertex at (22, 2), and opens downward.

Given the focus (22, 3) and directrix y=1, we can determine the following:

a. Axis of symmetry: Since the parabola is vertical (directrix is horizontal), the axis of symmetry will be a vertical line passing through the focus. So, x=22 is the axis of symmetry.

b. Vertex: The vertex is the midpoint between the focus and the directrix. To find the vertex, average the y-coordinates of the focus and the directrix. Vertex = (22, (3+1)/2) = (22, 2).

c. Direction: If the focus is above the directrix, the parabola opens upward. If the focus is below the directrix, the parabola opens downward. In this case, the focus (22, 3) is above the directrix y=1, so the parabola opens downward.

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Answer:

x= 8

y= -5

z= 0

Step-by-step explanation:

this is the correct answer to this system of equations.

In the given system of linear inequalities,

Solutions: (1, 0), (-2, 5)

Non-solutions: (2, 0), (0, 1)

To graph the system of linear inequalities, we will plot the boundary lines for each inequality and shade the appropriate regions based on the given inequalities.

1. Graphing the inequality y < −x + 3:

To graph y < −x + 3, we first draw the line y = −x + 3. This line has a slope of -1 and a y-intercept of 3. We can plot two points on this line, for example, (0, 3) and (3, 0), and draw a dashed line passing through these points. Since y is less than −x + 3, we shade the region below the line.

2. Graphing the inequality y ≥ 2x − 1:

To graph y ≥ 2x − 1, we first draw the line y = 2x − 1. This line has a slope of 2 and a y-intercept of -1. We can plot two points on this line, for example, (0, -1) and (1, 1), and draw a solid line passing through these points. Since y is greater than or equal to 2x − 1, we shade the region above the line.

Now let's find two ordered pairs that are solutions and two that are not solutions.

Ordered pairs that are solutions:

- (1, 0): This point satisfies both inequalities. Plugging in the values, we get y = -1 and y ≥ 1, which are both true.

- (-2, 5): This point satisfies both inequalities. Plugging in the values, we get y = 7 and y ≥ 3, which are both true.

Ordered pairs that are not solutions:

- (2, 0): This point does not satisfy the first inequality y < −x + 3 since 0 is not less than -2 + 3.

- (0, 1): This point does not satisfy the second inequality y ≥ 2x − 1 since 1 is not greater than or equal to -1.

By graphing the system of linear inequalities and examining the solutions and non-solutions, we have:

Solutions: (1, 0), (-2, 5)

Non-solutions: (2, 0), (0, 1)

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