G(x) = 4x - 5, find g(3)

the p-value for this alternative hypothesis is 0.054

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the one observed, assuming that the null hypothesis is true. In this case, the null hypothesis is that there is no difference in consumer satisfaction ratings between luxury and economy cars. The alternative hypothesis is that the satisfaction ratings for luxury cars are lower than those for economy cars.

Using the given t-value of 1.99 and degrees of freedom of 37, we can calculate the p-value using the t-distribution calculator. The p-value obtained is 0.0554, which is larger than the commonly used significance level of 0.05. This means that we do not have sufficient evidence to reject the null hypothesis and conclude that there is a significant difference in consumer satisfaction ratings between luxury and economy cars. Therefore, the correct answer is (c) 0.054.

To learn more about probability:

https://brainly.com/question/30034780

#SPJ4

The area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

The area of the trapezoid is the space occupied by it on the two dimensional plane. The area of this figure is half of the product of height and sum of sides.

\(A=\dfrac{(a+b)h}{2}\)

Here, (a and b) are the base sides of the trapezoid and (h) is the height.

A room is shaped like a trapezoid which has the height of 28 feet and the length of sides as 23 ft and 35 ft. Thus, the area of it is,

\(A=\dfrac{(a+b)h}{2}\\A=\dfrac{(23+35)28}{2}\\A=812\rm\; ft^2\)

Carpet costs $8.30 per square foot. Thus, the cost of carpet with area 812 ft² is,

C=812×$8.30

C=$6739.6

Furniture covers 25% of the floor. Thus, the remaining square feet of carpet are covered by furniture is,

\(A=\dfrac{25}{100}\times812\\A=203\rm\; ft^2\)

Thus, the area of room is 812 square feet, cost of carpet to cover the room is $6739.6 and the remaining square feet of carpet are covered by furniture is 203 square feet.

Learn more about the area of trapezoid here;

https://brainly.com/question/1410008

#SPJ1

it is 76 ooooooooooooof

Answer: 1000000

Step-by-step explanation:

Answer:

answer 1000000

have a nice day

If the two angles are complementary, then their sum is 90 degrees.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.

If the two angles are complementary, then their sum is 90 degrees.

More about the angled link is given below.

https://brainly.com/question/15767203

#SPJ1

Answer:

Step-by-step explanation:

Slope intercept form of a line is

y=mx+b, where m=slope and b=y intercept

m=(y2-y1)/(x2-x1) I chose points (0,3) and (4,4) from graph so

m=(4-3)/(4-0)=1/4 so now the line is

y=x/4+b, using point (4,4) we can solve for b

4=4/4+b

4=1+b

b=3 so the line is

y=x/4+3 or more neatly

y=(x+12)/4

The pairs of coordinates arranged from least to greatest based on the differences between the points are:

(-1,-2) and (1,-4)

(4,1) and (2,2)

(-5,2) and (-3,-2)

(3,-4) and (-2,1)

(5,-2) and (-1,-1)

Let's calculate the differences and arrange the pairs accordingly:

(4,1) and (2,2):

Difference in x-coordinates: 4 - 2 = 2

Difference in y-coordinates: 1 - 2 = -1

(-5,2) and (-3,-2):

Difference in x-coordinates: -5 - (-3) = -2

Difference in y-coordinates: 2 - (-2) = 4

(3,-4) and (-2,1):

Difference in x-coordinates: 3 - (-2) = 5

Difference in y-coordinates: -4 - 1 = -5

(-1,-2) and (1,-4):

Difference in x-coordinates: -1 - 1 = -2

Difference in y-coordinates: -2 - (-4) = 2

(5,-2) and (-1,-1):

Difference in x-coordinates: 5 - (-1) = 6

Difference in y-coordinates: -2 - (-1) = -1

Now let's arrange them in order from least to greatest based on the differences in the points:

(3,-4) and (-2,1) (difference: 5)

(-1,-2) and (1,-4) (difference: 2)

(4,1) and (2,2) (difference: 2)

(-5,2) and (-3,-2) (difference: 4)

(5,-2) and (-1,-1) (difference: 6)

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ1

Answer:

x≥2 and x<2 : ∅

x≥2 or x<2 : All real numbers

x≤2 and x≥2 : 2

Step-by-step explanation:

the first one must follow both conditions, so no number would work.

the second one works with any number, so all real numbers.

the third one has only one condition that works, 2

Answer:

Your answer is 100. Hope it helped.

Answer:

it's C

All the graphs except C crosses the x axis at the roots but C doesn't

Answer:

The answer is ( A) -There is no correlation between amount of sleep and number of calories burned

Step-by-step explanation:

When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

Learn more about dosage from

https://brainly.com/question/29367085

#SPJ1

The scale factor used to dilate triangle D to create triangle D' is 1/3. This means that each side length in triangle D' is one-third of the corresponding side length in triangle D.

To determine the scale factor used to dilate triangle D to create triangle D', we can compare the corresponding side lengths of the two triangles.

In triangle D, the side lengths are given as 18, 24, and 30. In triangle D', the corresponding side lengths are given as 6, 8, and 10.

To find the scale factor, we can divide the corresponding side lengths of D' by the corresponding side lengths of D.

Scale factor = Length of corresponding side in D' / Length of corresponding side in D

For the corresponding sides, we have:

Scale factor = 6/18 = 1/3

Please note that the scale factor can also be determined by comparing the area or perimeter of the two triangles. However, in this case, we used the corresponding side lengths to find the scale factor.

For more such questions on  corresponding side

https://brainly.com/question/29071853

#SPJ8

Answer:

Paul had £40 originally.

Step-by-step explanation:

Given

Let d be the money Dan has and p be the money Paul has

Then according to the given situation,

\(\frac{d}{p} = \frac{9}{5}\\d = \frac{9p}{5}\ \ \ Equation\ 1\)

Now from the statement, "Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1"

\(\frac{d-32}{p} = 1\)     Eqn 2

From 2

\(d - 32 = p\\\)

Putting d = 9p/5

\(\frac{9p}{5} - 32 = p\\9p - 160 = 5p\\9p-5p = 160\\4p = 160\\\frac{4p}{4} = \frac{160}{4}\\p = 40\)

Checking

\(d = \frac{9(40)}{5} = \frac{360}{5} = 72\\\frac{d}{p} = \frac{72}{40} = \frac{9}{5}\)

Hence,

Paul had £40 originally.

The range for the possible values of x is:

3 < x < 6

We know that the woman original mass is 53 kg, and after she reduced this by x kilograms,her newe mass is below 50kg

Then we can write the inequality:

53 - x < 50

Solving that for x we will get:

53 - 50 < x

3 < x

And we also know that x < 6

Then the range is:

3 < x < 6

Learn more about inequalities:

https://brainly.com/question/24372553

#SPJ1

Answer:

Step-by-step explanation:

y=4x + (7/2)

when x=5

y=4(5)+ (7/2)

 =20+3.5             or         20+ (7/2)

 =23.5                 or          (40+7)/2 =47/2 =23.5

Answer:

not sure

Step-by-step explanation:

The ratio of the strawberries to the blueberries is 32 strawberries: 30 blueberries (option d).

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.

The ratio of strawberries to blueberries - total number of strawberries : total number of blueberries.

(8 x 4) : 30

32 : 30

To learn more about ratios, please check: https://brainly.com/question/25927869

#SPJ1

Answer: A. 8 strawberries: 30 blueberries

Step-by-step explanation:

Answer:

648 ft ²

Step-by-step explanation:

The area of Tom's garden would be 36*36 which gives us 1296 ft squared. He used half of his garden for growing roses which means he used 1296/2 =648 ft squared for his roses.

The approximation of the slope of the graph at t = 10 days using this secant lines are 11750 and -11750, respectively.

(a) t = 10 days and a day earlier

This means that:

t = 10 and t = 9

The function is given as:

\(N(t) = 100000e^{\frac{-(t - 10)^2}{8}}\)

Calculate N(10)

\(N(10) = 100000e^{\frac{-(10 - 10)^2}{8}}\)

Evaluate

N(10) = 100000

Next, calculate N(9)

\(N(9) = 100000e^{\frac{-(9 - 10)^2}{8}}\)

Evaluate

N(9) = 88249.6902585

The slope is then calculated using"

\(m = \frac{N(10) - N(9)}{10 - 9}\)

This gives

\(m = \frac{100000 - 88249.6902585}{10 - 9}\)

Evaluate

m = 11750.3097415

Approximate

m = 11750

(b) t = 10 days and a day later

This means that:

t = 10 and t = 100

The function is given as:

\(N(t) = 100000e^{\frac{-(t - 10)^2}{8}}\)

In (a), we have:

N(10) = 100000

Next, calculate N(11)

\(N(9) = 100000e^{\frac{-(11 - 10)^2}{8}}\)

Evaluate

N(11) = 88249.6902585

The slope is then calculated using:

\(m = \frac{N(11) - N(10)}{11 - 10}\)

This gives

\(m = \frac{88249.6902585 - 100000}{11 - 10}\)

Evaluate

m = -11750.3097415

Approximate

m = -11750

Hence, the approximation of the slope of the graph at t = 10 days using this secant lines are 11750 and -11750, respectively.

Read more about secant lines at:

https://brainly.com/question/14438198

#SPJ1

Answer:

43.6 has 3 significant figures.

The slope of the lined graph is 5 / 3

The formula for determining the slope of a line is expressed as;

Slope = y2 - y1/ x2 - x1

From the graph shown;

Now, let's substitute the values

Slope, m = 4 - (-1) / 3 - 0

Find the differences

Slope, m = 4 + 1/ 3

Slope, m = 5 / 3

Thus, the slope of the lined graph is 5 / 3

Learn more about slope here:

https://brainly.com/question/3493733

#SPJ1

The equation y = 4x-1 matches the graph, which has a slope of 4 and a y-intercept of -1. This is because the coefficient of x is 4 (slope) and the constant term is -1 (y-intercept).

A line's slope is a measure of how steeply it rises or falls as it goes from left to right on a coordinate plane. It is defined as the shift in vertical coordinate (y) to horizontal coordinate (x) between any two locations on a line. The slope (m) may be written symbolically as:

m = (change in y) / (change in x)

Positive, negative, zero, or undefined slopes are all possible. A horizontal line has a slope of zero, while a vertical line has an indeterminate slope.

Based on the given options, the equation that matches the graph is:

b. y = 4x-1

This is because the graph has a slope of 4 (meaning it increases by 4 units in the y-direction for every 1 unit in the x-direction), and a y-intercept of -1 (meaning the line crosses the y-axis at -1). This matches the equation y = 4x-1, where the coefficient of x is 4 (slope) and the constant term is -1 (y-intercept).

To know more about slope, visit

brainly.com/question/14511992

#SPJ1

Answer:

p = t X 10.25

Step-by-step explanation:

if she makes 10.25 an hour/time then when you multiply it you will get the total pay.

Answer:

6 pieces can be cut from the string.

Answer:

8x⁵y - 6x⁴y²

Step-by-step explanation:

(2x³)(4x²y - 3xy²)

= 2x³ * 4x²y  +  2x³ * -3xy²

= 8x⁵y  -  6x⁴y²