Given g(x) = 2x + 5, find g(1).

Answer:

Reject the null, there is sufficient

We need to reject the null hypothesis; there is sufficient evidence to support the claim that the mean speed is greater than 65 miles / hour.

'Normal distribution is a continuous probability distribution wherein values lie in a symmetrical fashion mostly situated around the mean.'

According to the given problem,

Since the sample size is fairly large (n > 30), we use normal distribution.

The null hypothesis tested is

Mean speed of all cars ≤ 65 miles/hour. (µ ≤ 65)

The alternative hypothesis is

Mean speed of all cars > 65 miles/hour. (µ > 65)

Significance level = 0.05

The test statistic used is Z = \(\bar{x}\) - µ/σ / √ n, where \(\bar{x}\) = 68.4, n = 40, σ = 5.7

Therefore, Z = 68.4 - 65 / 5.7 /√40 = 3.77254177

If the calculated value of test statistic is greater than the critical value at the 0.05 significance level,

Upper critical value = 1.644853627

P-value = P (Z > 3.77254177) = 0.000080796

Hence, we can conclude that we should reject the null hypothesis since there is enough evidence to support the claim that the mean speed is greater than 65 miles / hour.

Learn more about normal distribution here:

https://brainly.com/question/25394084

#SPJ2

Answer: Hi I will solve this right quick.

Step-by-step explanation:

The equation is \(\frac{4}{9} x^{2} y x(x^{2} -3xy+y^{2} )\)

The answer is this

\(\frac{4y (x^{2} - 3xy +y2) x^{3} }{9}\)

Answer:

\(\dfrac{4}{9}x^{5}y-\dfrac{4}{3}x^{4}y^{2}+\dfrac{4}{9}x^{3}y^{3}\)

Step-by-step explanation:

Given expression:

\(\dfrac{4}{9}x^2yx(x^2-3xy+y^2)\)

Distribute:

\(\implies \dfrac{4}{9}x^2yxx^2-\dfrac{4}{9}x^2yx3xy+\dfrac{4}{9}x^2yxy^2\)

Re-order each term to collect like variables:

\(\implies \dfrac{4}{9}x^2x^2xy-\dfrac{4 \cdot 3}{9}x^2xxyy+\dfrac{4}{9}x^2xy^2y\)

\(\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}:\)

(Remembering that a = a¹)

\(\implies \dfrac{4}{9}x^{2+2+1}y-\dfrac{12}{9}x^{2+1+1}y^{1+1}+\dfrac{4}{9}x^{2+1}y^{2+1}\)

\(\implies \dfrac{4}{9}x^{5}y-\dfrac{12}{9}x^{4}y^{2}+\dfrac{4}{9}x^{3}y^{3}\)

Reduce 12/9 to 4/3:

\(\implies \dfrac{4}{9}x^{5}y-\dfrac{4}{3}x^{4}y^{2}+\dfrac{4}{9}x^{3}y^{3}\)

Learn more about exponent laws here:

https://brainly.com/question/28211147

https://brainly.com/question/27959936

Answer:

Step-by-step explanation:

simplify it it becomes 8x=8

x=1

plug it in

6+3y=24

3y=18

y=6

then check on the other equation

2x1=2

2-18=-16

x=1

y=6

The equation which describes the relationship between the side length and shaded area of the quilt is y=0.5x²

Side length, x = 1,3,4,5,8

Shaded Area, y = 0.5, 4.5, 8, 12.5, 32

The relationship can be modeled as a quadratic function. Using a graphing calculator for the quadratic function written in the form y = ax² + bx + c

a = 0.5 ; b = 0 ; c = 0

Therefore, the quadratic function can be written as y = 0.5x²

Learn more on quadratic functions ; https://brainly.com/question/1214333

#SPJ1

Answer:

b

Step-by-step explanation:

took test

For given measurements, the perimeter of the quadrilateral is 30cm.

The length of a quadrilateral's border, or what remains after joining all four of its sides to form a single line segment, is referred to as the quadrilateral's perimeter. As a result, a quadrilateral's perimeter is measured in the same linear units as its sides, such as meters, inches, centimeters, etc.

This may be stated using a straightforward formula. For instance, the formula for a quadrilateral ABCD's perimeter may be written as,

AB + BC + CD + DA = The perimeter

perimeter of the quadrilateral = sum of all sides.

perimeter of the quadrilateral = 1 + 9 + 12 + 8

= 30 cm.  

To learn more about perimeter of the quadrilateral from given link

https://brainly.com/question/12546443

#SPJ9

Answer:

64% of 300 is the same as 64 times the value of 1% of 300

Step-by-step explanation:

64% of 300 is the same as 64 times the value of 1% of 300 because 64/1 is 64.

Meaning:

0.64 * 300 = 64(0.01*300)

192 = 64(3)

192 = 192

Hope this helps :)

Have a great day!

Answer:

1% of 300 is 3, so 64% of 300 is 192.

Have a beautiful day.

Answer:

-21/5

Step-by-step explanation:

The given series is:-7(3/8)^1 - 7(3/8)^2 - 7(3/8)^3 - ...

We can see that this is a geometric series with first term a = -7(3/8)^1 = -21/8 and common ratio r = 3/8.

The sum of an infinite geometric series with first term a and common ratio r (where |r| < 1) is given by:

sum = a/(1-r)

Substituting the values for a and r, we get:sum = (-21/8)/(1-3/8) = (-21/8)/(5/8) = -21/5Therefore, the sum of the given series is -21/5.

Answer:

<1 and <2

Step-by-step explanation:

Adjacent means angles that are next to each other.  This is not the only pair, but <1 and <2  are adjacent.

Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.

Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.

Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.

Learn more about  Role Strain from

https://brainly.com/question/14283116

#SPJ1

The principle of superposition applies to the sum of the linear combinations in the context of differential equations.

This principle states that the "response (or output) of a linear system to a given input can be found by summing the individual responses of the system to each individual input".

In other words, if we have a system with multiple inputs and a single output, we can find the overall output of the system by adding together the individual outputs for each input.

This is a useful property of linear systems because it allows us to analyze and understand the behavior of complex systems by breaking them down into simpler components.

Thus, the principle of superposition applies to the sum of the linear combinations in the context of differential equations.

To learn more about the Principle of Superposition click here:

https://brainly.com/question/11876333

#SPJ1

Step-by-step explanation:

that is right answer and correct

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.

Hope this helps...

Answer:

i think zero but i suck at slope

Step-by-step explanation:

pew pew

Answer:

no solutions

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

equation of blue line is y = x + 2 , in slope- intercept form

with slope m = 1

equation of red line is y = x - 3 , in slope- intercept form

with slope m = 1

• Parallel lines have equal slopes

then the blue and red lines are parallel.

the solution to the system is at the point of intersection of the 2 lines

since the lines are parallel then they do not intersect each other.

thus the system shown has no solution.

Step-by-step explanation:

4/5 gallons for 280 ft² (the ² is missing in the question ...).

3 gallons would be 15/5.

so, what do I need to multiply 4 with to get 15 ?

4×x = 15

x = 15/4

multiplying now also 280 ft² with this factor gives us the answer :

280 × 15/4 = 70 × 15 = 1050 ft²

they can paint 1050 ft² with 3 gallons of paint.

Answer:

XD is an emoticon commonly used to symbolize dying from laughter. It represents 2 closed eyes with the X and mouth with the D.

The solution of the equations is (-2, -1)

2x - 3y = -1

11x  - 9y = -13

Using elimination method let multiply the first equation by -3.

Therefore,

-6x + 9y = 3

11x - 9y = -13

5x = -10

x = -10 / 5

x = -2

let's find y as follows;

2(-2) - 3y = -1

-4 - 3y = -1

-3y = -1 + 4

-3y = 3

y = 3 / -3

y = -1

learn more on system of equation here: https://brainly.com/question/1451150

6/15

you add everything she sells together. ( 3+1+6+5=15) Then you put the amount of ovens she sells above taht number, making it a fraction.

Answer:

Step-by-step explanation:

I think the answer should be that there is an if -- then way the statement is worded. Quite often if then statements are used in this kind of experiment. Beyond that I can't make any comment. I don't know that it truly is testable, but it sounds like it should be.

Answer:

The hypothesis includes an explanation and makes a prediction.

Step-by-step explanation: I took the quiz on primavera and got that answer

Answer:

24x - 12

Step-by-step explanation:

6x + 4 + 10x - 9 + 8x - 7

6x + 10x + 8x + 4 - 9 - 7

24x - 12

Answer:

No it is less than 400 :))

Answer:

No

Step-by-step explanation:

12 ounces is 340.194.

Answer:

7x + 9 = 37 is the solution.

Step-by-step explanation:

Perimeter = 37cm

sides = 3xcm,2(x + 4)cm,(2x + 1)cm

Perimeter = sum of sides

37 = 3x + 2(x + 4) + (2x + 1)

37 = 3x + 2x + 8 + 2x + 1

37 = 7x + 9

Answer:

7x+9=37

Step-by-step explanation:

I hope I helped you

Answer:

12sq cm

Step-by-step explanation:

For Area, we do lenth x width x height. Here, the lenth and the width is 2, so we do 2x2 which is 4. Next the height is 3 so we do 4x3 which is 12. There is your answer. Hope it helps!

Answer:

242

Step-by-step explanation:

14 * 7 = 98

18 * 8 = 144

98 +144 = 242

Answer:

60

Step-by-step explanation:

Answer:

The student played basketball for 40 minutes.

Step-by-step explanation:

Given that one week a student exercised for 2 hours at school and for 2/3 of an hour at home, it can be stated that the student exercised for 2 hours and 40 minutes (since 60 x 2/3 is equal to 40 ). Thus, in total the boy exercised for 160 minutes (2 x 60 + 40).

Now, since he spent 1/4 of that time playing basketball, the time spent doing this sport is determined through the following calculation:

160/4 = X

40 = X

Thus, the student played basketball for 40 minutes.

Answer: 4/9

Step-by-step explanation:

Answer:

Hope I helped!~

Step-by-step explanation:

To find the equation of the line, we can use the slope-intercept form of the equation:

y = mx + b

where m is the slope of the line and b is the y-intercept.

Using the two data points given, we can calculate the slope:

m = (11.25 - 8.35) / (1995 - 1993) = 1.95

To find the y-intercept, we can use one of the data points:

8.35 = 1.95(1993) + b

b = -3884.65

So the equation of the line is:

y = 1.95x - 3884.65

To predict the price of a box of two pieces on July 1, 1999, we can substitute x = 6 (since 1999 is 6 years after 1993) into the equation:

y = 1.95(6) - 3884.65

y = 11.7 - 3884.65

y = -3872.95

This gives us a negative price, which obviously does not make sense. It is likely that the price of a box of two pieces was not linearly increasing during this time period, or that there were other factors influencing the price. Therefore, we cannot use this equation to accurately predict the price of a box of two pieces on July 1, 1999.