2y=128, then the value of y is:​

Answer:

a

The  null hypothesis is  \(\mu = \$181,900\)

The alternative hypothesis is  \(\mu < \$ 181.900\)

b

\(t = -2.92\)

c

\(p-value = 0.0016948\)

d

There no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900

Step-by-step explanation:

From the question we are told that

   The  population mean is  \(\mu = \$ 181, 900\)

    The  sample size is  \(n = 40\)

    The  sample  mean is  \(\= x = \$ 166,400\)

      The  sample  standard deviation is \(s= \$ 33, 500\)

The  null hypothesis is  \(\mu = \$181,900\)

The alternative hypothesis is  \(\mu < \$ 181.900\)

Generally the test statistics is mathematically represented as

      \(t = \frac{ \= x - \mu }{ \frac{s}{\sqrt{n} } }\)

=>    \(t = \frac{ 166400 - 181900 }{ \frac{33500}{\sqrt{40} } }\)

=>    \(t = -2.92\)

Generally the p-value is obtain from the z-table  the value is  

      \(p-value = P(Z < t ) = P(Z < -2.93) = 0.0016948\)

=>    \(p-value = 0.0016948\)

From the calculation we see that  

     \(p-value > \alpha\)  hence we fail to reject the null hypothesis

Thus there no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900

Answer:  Choice C.

The difference between our sample mean and our hypothesized mean was statistically significant.

=========================================================

Explanation:

The null hypothesis is always set up in a way to state the following: "The mean mu is equal to some value"

The mu is a greek letter often used as the population mean symbol. The actual symbol itself looks like this \(\mu\)

When we reject the null, we reject the idea that the mu is whatever stated value we said in the null. So we must go with the alternative hypothesis.

The sample mean we computed (xbar) is different enough from the mu value that we're able to make such a rejection. We consider this statistically significant, which is another way of saying that such a difference is not simply due to random chance.

Answer:

Step-by-step explanation:

Solution:

We can simplify the ratio 305 : 60 by dividing both terms by the greatest common factor (GCF).

The GCF of 305 and 60 is 5.

Divide both terms by 5.

305 ÷ 5 = 61

60 ÷ 5 = 12

Therefore:

305 : 60 = 61 : 12

The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.

To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:

Area = (1/2) * a * b * sin(C),

where a and b are the lengths of the two sides adjacent to the given angle C.

In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:

c² = a² + b² - 2ab * cos(C),

where C is the angle opposite side c. Rearranging the formula, we have:

b² = a² + c² - 2ac * cos(C),

b² = 86² + 37² - 2 * 86 * 37 * cos(128°).

By substituting the given values and calculating, we find b ≈ 63.8.

Now, we can calculate the area using the formula:

Area = (1/2) * a * b * sin(C),

Area = (1/2) * 86 * 63.8 * sin(128°).

By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.

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The expected value of a $2 ticket is $0.63

To calculate the expected value of a $2 ticket, we need to multiply the probability of winning by the value of the prize, then sum those products:

The Probability of winning the grand prize = 1/2000

Product: (1/2000) x $500 = $0.25

The Probability of winning a secondary prize: 3/2000

Product: (3/2000) x $200 = $0.30

The Probability of winning a third level prize: 8/2000

Product: (8/2000) x $20 = $0.08

The sum of the products:

$0.25 + $0.30 + $0.08 = $0.63

So the expected value of a $2 ticket is $0.63, meaning that on average, a person can expect to win $0.63 for every $2 they spend on a ticket.

The charity is expected to make a profit, which is why the answer is negative.

That is -$2 + $0.63 = -$1.37

So the expected profit for the charity per ticket sold is -$1.37, which is approximately the same as the given answer of negative $1.358(rounding off)

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Step-by-step explanation:

To calculate the correlation coefficient (r) given SSxx, SSxy, and other information, we need to use the following formula:

r = √(SSxy / SSxx)

Given SSxx = 950 and SSxy = 205.2, we can substitute these values into the formula:

r = √(205.2 / 950)

Calculating the value:

r = √(0.216)

r ≈ 0.465

The correlation coefficient (r) is approximately 0.465.

Interpretation: The correlation coefficient measures the strength and direction of the linear relationship between two variables. In this case, the value of r = 0.465 indicates a positive linear relationship between the variables, but it's not a strong relationship. The closer the value of r is to 1 or -1, the stronger the relationship. Since r = 0.465 is relatively close to zero, it suggests a weak positive linear association between the variables being an analyzed.

hope it help you

The Pearson's correlation coefficient (r) based on given data is approximately 0.44, implying a moderate positive correlation.

The formula for calculating Pearson's correlation coefficient (r) in this case is given as: r = SSxy / sqrt(SSxx * SSyy). However, we don't have the value for SSyy directly, but we can calculate it. We know that SSyy = Σy² -(Σy)² / n. Given that Σy² is 2028 and Σy is 120 and number of samples n is 12, we can calculate SSyy as: SSyy = 2028 - (120)² / 12 = 52. Now, substitute SSxx = 950, SSxy = 205.2 and SSyy = 52 in the formula to find r: r = 205.2 / sqrt(950 * 52), giving us an r-value of approximately 0.44. This value of r suggests a moderate positive correlation between the variables in the dataset.

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SOLUTION:

Step 1:

We are to find BC. Round to the nearest hundredths

a. BC is a side

b. We are given Angle B (50), Angle C (62), and side AC (12.

c. Based on the information we are given we are to use law of sines.

Step 2:

A + B + C = 180 ( sum of interior angles in a triangle)

A + 50 + 62 = 180

A + 112 = 180

A = 180 - 112

A = 68

Step 3:

We are to apply law of sines; but note that "a" is side BC and "b" is side AC

CONCLUSION:

The length of side BC to the nearest hundredths is 14.53 units.

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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The line PQ of the triangle is an altitude. The correct option is A.

A line segment passing through a triangle's vertex and running perpendicular to the line containing the base is the triangle's height in geometry.

The extended base of the altitude is the name given to this line that contains the opposing side. The foot of the altitude is the point at where, the extended base and the height converge.

In the given triangle the line segment PQ is passing through a triangle's vertex and running perpendicular to the line containing the base is the triangle's height in geometry.

Therefore, the line PQ of the triangle is an altitude. The correct option is A.

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Answer:

x = 24

Step-by-step explanation:

Step 1:

5x -3 + 2x + 15 = 180

Step 2:

7x + 12 = 180

Step 3:

7x = 168

Answer:

x = 24

Hope This Helps :)

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

The slope of the tangent line to the curve at the given point is -11/7.

Step-by-step explanation:

Differentiation is an algebraic process that finds the gradient (slope) of a curve.  At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.

Given function:

\(4x^2+5xy+y^4=370\)

To differentiate an equation that contains a mixture of x and y terms, use implicit differentiation.

Begin by placing d/dx in front of each term of the equation:

\(\dfrac{\text{d}}{\text{d}x}4x^2+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=\dfrac{\text{d}}{\text{d}x}370\)

Differentiate the terms in x only (and constant terms):

\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=0\)

Use the chain rule to differentiate terms in y only. In practice, this means differentiate with respect to y, and place dy/dx at the end:

\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

Use the product rule to differentiate terms in both x and y.

\(\boxed{\dfrac{\text{d}}{\text{d}x}u(x)v(y)=u(x)\dfrac{\text{d}}{\text{d}x}v(y)+v(y)\dfrac{\text{d}}{\text{d}x}u(x)}\)

\(\implies 8x+\left(5x\dfrac{\text{d}}{\text{d}x}y+y\dfrac{\text{d}}{\text{d}x}5x\right)+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

\(\implies 8x+5x\dfrac{\text{d}y}{\text{d}x}+5y+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)

Rearrange the resulting equation in x, y and dy/dx to make dy/dx the subject:

\(\implies 5x\dfrac{\text{d}y}{\text{d}x}+4y^3\dfrac{\text{d}y}{\text{d}x}=-8x-5y\)

\(\implies \dfrac{\text{d}y}{\text{d}x}(5x+4y^3)=-8x-5y\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8x-5y}{5x+4y^3}\)

To find the slope of the tangent line at the point (-9, -1), substitute x = -9 and y = -1 into the differentiated equation:

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8(-9)-5(-1)}{5(-9)+4(-1)^3}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{72+5}{-45-4}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{77}{49}\)

\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{11}{7}\)

Therefore, slope of the tangent line to the curve at the given point is -11/7.

Based on this poll, we are 95% confident that between 23% (lower limit) and 31% (upper limit) of U.S. adults feel that access to health care is the most urgent health-related problem.

The lower limit is the lowest percentage of poll participants who choose access to health care as the most urgent health-related problem.

The upper limit is to the highest percentage of poll participants who choose access to health care as the most urgent health-related problem.

Using the lower and upper limits, the Gallup poll can confidently estimate the range of the poll participants who pin-pointed access to health care as the most urgent.

Mean responses who choose access = 27%

Margin of error = ±4

Lower Limit = µ - margin of error

= 27% - 4%

=23%

Upper Limit = µ + margin of error

= 27% + 4%

=31%

Thus, at a 95% confidence level, the Gallup poll can claim that 27% ±4% of poll participants rated access to health care as the most urgent issue.

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Answer:

The answer is 0.93

Step-by-step explanation:

I took the test

Answer:

A=E

B=F

C=G

D=H

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angle in Upper Intersection Corresponding Angle in Lower Intersection

A E

B F

C G

D H

Answer:

11.25

Step-by-step explanation:

15x3/4=45/4=11.25pounds

Answer:

39

Step-by-step explanation:

2*3^3+4*3+9

= 39

Mark me as brainliest

Answer:

23.077%

Step-by-step explanation:

To find the percentage we have to create a similar equation

\(\frac{9}{39}=\frac{x}{100}\\\)

Now we cross multiply

\(9 * 100 = 39 * x\\39x=900\\x= \frac{900}{39}= 23.077\)

23.077/100 = 23.077%

Answer:

23.0769231% (23.08% rounded).

Step-by-step explanation:

To find a percent of a fraction or number, you have to multiply it by 100. But first, we have to divide 9 by 39 to get a fraction, which is 0.23076923076. (0.2308 rounded) Then, you multiply the number by 100 and you get 23.0769231% (23.08% rounded).

The two relationships that describe a function in the table are A: Name as a function of hair color, and D: Eye color as a function of hair color.

A function is a relationship between two sets of values in which each element of the first set corresponds to exactly one element of the second set. In this table, for each hair color there is only one associated name, so the relationship between name and hair color is a function. Similarly, for each hair color there is only one associated eye color, so the relationship between eye color and hair color is also a function.

Note that the other relationships listed in the question (B, C, E and F) are not functions because they do not have a one-to-one correspondence between the two sets of values. For example, in the relationship between eye color and name, multiple people (Juan and Keshia) have the same eye color (brown), so this relationship does not describe a function.

Therefore, options A and D are the correct answer.

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Answer:

\( \sqrt{ \frac{196 {a}^{16} }{ {a}^{14} } } = \sqrt{196 {a}^{2} } = 14 |a| \)

Answer:

The answer is D

Step-by-step explanation:

I took the test and it was 1 inch equals 4 feet :)

The scale is  1 inch equals 4 feet.

When both the original dimensions and the new dimensions are known, the scale factor may be determined. When employing the scale factor, there are two terms that must be understood. When a figure's size is increased, we refer to this as scaling up, and when its size is decreased, we refer to this as scaling down.

Given:

Actual length if park = 48 feet

and, Scale drawing length= 12 inch

So, scale be choose be

= 48/ 12

= 4

Hence, the scale is  1 inch equals 4 feet.

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sec(theta) = 1/cos(theta)

I believe that is your option D

Answer:

12 Edges

Step-by-step explanation:

Top one is right but had 2 stars for some reason. 12 Edges is the answer. (Just did it btw)

Edges of a polyhedron are 12.

"Polyhedron is a three dimensional solid shape with a certain number of faces, edges and vertices.

If the number of faces and the vertex of a polyhedron are given, we can find the edges using the polyhedron formula. This formula is also known as ‘Euler’s formula’."

F + V = E + 2

Here,

F = Number of faces of the polyhedron

V = Number of vertices of the polyhedron

E = Number of edges of the polyhedron

Given

Number of Faces (F) = 7

Number of Vertices (V) = 7

For any polyhedron,

Euler's Formula:

F + V - E = 2

⇒ 7 + 7 - E = 2

⇒ 14 - E = 2

⇒ E = 14 - 2

⇒ E = 12

Number of Edges (E) = 12

Hence, Edges of a polyhedron are 12.

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Answer:

22h - 9

Step-by-step explanation:

14h + 12 - 8h - 3

14h + 8h + 12 - 3

22h + 12 - 3

22h + 9

Answer:

Discrete mathematics is the study of mathematical structures that can be considered "discrete" rather than "continuous". Objects studied in discrete mathematics include integers, graphs, and statements in logic.

The taxi ride was 7 miles

Mia took a taxi from her house to the airport

The taxi charged a pick up fee of $1.30

They also charged $4.25 per mile

The total fare was $31.05

The number of miles can be calculated as follows

31.05 - 1.30 = 4.25x

29.75= 4.25x

Divide both sides by the coefficient of x which is 4.25

29.75/4.25= 4.25x/4.25

x= 7

Hence the taxi ride was 7 miles

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Answer:

No solution is possible from the given information

Step-by-step explanation:

Triangle ABC is NOT shown below

Without the triangle it's not possible to answer.