An economist is studying salaries for high technology companies and wants to test the claim that the average salary for high
tech employees is less than $70,000.
The economist selects a sample of 35 random employees from various high tech companies and records their salaries.
Based on past studies, the economist determines that the population standard deviation is $8,500.
The economist conducts a one-mean hypothesis test at the 5% significance level to test the claim that the average salary for
high tech employees is less than $70,000.
The setup for the null and alternative hypothesis is given as:
Hoμ = 70,000; Ha < 70,000, which is a left-tailed test.
The sample data for 35 salaries is shown in the dataset below.
Use Excel to test the claim that the average salary for high tech employees is less than $70,000, where a = 0.05. Calculate
the test statistic, z, and the p-value, rounding to three decimal places.

Answer:

[tex]G(x) = 6-x^{4}[/tex]

Step-by-step explanation:

The red graph is the blue graph translated up 3 units, so the answer is [tex]G(x) = 6-x^{4}[/tex].

The approximate number of minutes that Avery spends on the extra curricular activities are 122 minutes.

Given that Avery spent 10 minutes outside, 64 minutes in riding her bike, 48 minutes on the trampoline.

We have to calculate the approximate time that Avery spends on extra curricular activities.

Time spent by Avery outside=10 minutes

Time spent by Avery in riding her bike=64 minutes

Time spent by Avery on trampoline=48 minutes

Total time spent by Avery on extra curricular activities is equal to 10+64+48

=122 minutes

Hence the total time spent by Avery on extra curricular activities is 122 minutes.

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Question is incomplete as the question should include that Avery spent 10 minutes outside,64 minutes in riding her bike, 48 minutes on trampoline and rest of the time in swimming.

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

Explanation:

Triangle ABC is similar to triangle DEF. The order of the lettering is important because it tells us how the letters pair up.

Based on that, we can determine how the segments pair up

We want to find how long EF is, which means we'll involve BC = 17 since it is paired with it.

The diagram shows that AC = 14 and DF = 3, which is another pair we'll use

--------------------------

The key takeaway is that

Those two facts lead to the steps below

[tex]\frac{AC}{DF} = \frac{BC}{EF}\\\\\frac{14}{3} = \frac{17}{EF}\\\\14*EF = 3*17\\\\14*EF = 51\\\\EF = \frac{51}{14}\\\\EF \approx 3.642857\\\\EF \approx 3.6\\\\[/tex]

The proportion in step 1 is valid due to the similar triangles, and because of the corresponding side pairs mentioned. In step 3, I cross multiplied.

Answer:

3.6 cm

Step-by-step explanation:

Similar Triangle Theorem

If two triangles are similar, the ratio of their corresponding sides is equal.

Given triangles:

Therefore the corresponding sides are:

To find the measure of side EF, use the Similar Triangle Theorem:

[tex]\implies \sf AC:DF=BC:EF[/tex]

[tex]\implies \sf \dfrac{AC}{DF}=\dfrac{BC}{EF}[/tex]

[tex]\implies \sf \dfrac{14}{3}=\dfrac{17}{EF}[/tex]

[tex]\implies \sf EF=17 \cdot \dfrac{3}{14}[/tex]

[tex]\implies \sf EF=\dfrac{51}{14}[/tex]

[tex]\implies \sf EF=3.642857...[/tex]

[tex]\implies \sf EF=3.6\:cm\:\:(nearest\:tenth)[/tex]

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Answer:

y=-2x+5

Step-by-step explanation:

For every increase in x, y decreases by 2

so the slope is -2

You can solve for the y-intercept by going backward, 1-1=0, 3+2=5

the y-intercept is (0,5)

Using the slope intercept equation format, the answer is y-2x+5

1) If the discriminant is greater than 0, the quadratic equation has 2 real solutions. Here D is grater than 0 . the quadratic equation has two real, distinct (different) roots.

2) If the discriminant of a quadratic equation is 4, then there are two real roots.

3) A discriminant of zero indicates that the quadratic has a repeated real number solution. A negative discriminant indicates that neither of the solutions are real numbers.

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Answer:

[tex]5 \cos( \frac{2\pi x}{7} ) [/tex]

The period of the given graph is 2π.

A period is the amount of time between two waves, whereas a periodic function is one whose values recur at regular intervals or periods. In other terms, a periodic function is one whose values recur after a specific interval.

This specific time span indicated above is the function's period.

The length of one function wave is referred to as the period.

The sine and cosine functions have a period of 2π radians, or 360 degrees. The period of the tangent function is π radians, or 180 degrees.

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Answer:

[tex]b^{2} +7b+7[/tex] with remainder 1

Answer:

Step-by-step explanation:

The y-intercept of f(x) is (0,1), so the y-intercept of g(x) is (0,3).

f(x) has a horizontal asymptote at y=0. and so does g(x).

f(x) does not have an x-intercept, and neither does g(x).

Answer:

y-intercept at (0, 3)

horizontal asymptote of y = 0

no x-intercept

Step-by-step explanation:

Definitions

y-intercept: the point(s) at which the curve crosses the y-axis (when x=0).

x-intercept: the point(s) at which the curve crosses the x-axis (when y=0).

Asymptote: a line that the curve gets infinitely close to, but never touches.

Given function:

[tex]f(x)=2^x[/tex]

Properties of function f(x):

[tex]\textsf{If }g(x)=3f(x):[/tex]

[tex]\implies g(x)=3(2)^x[/tex]

Properties of function g(x):

Therefore the true statements are:

Answer:

See attached image

Step-by-step explanation:

I'm uncertain as to the "best statement."  None seem to accurately describe the situation. I picked the one that was least incorrect (if that makes any sense).

Labor productivity is normally measured by (c) dividing total real domestic output by the number of workers or by the number of labor hours.

What is labour productivity in India?

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Answer:

Khan Academy.

Step-by-step explanation:

You can go on khan academy and search up "GRAPHS." The videos should immediately pop up. there are also lessons if you don't want to risk getting your problem wrong. If you are still confused and do not understand please just comment and I will respond.

Step-by-step explanation:

in 3 hours the truck used 17 - 3 = 14 gallons.

that means it used

14 gallons / 3 hours = 14/3 gallons / hour

and that means it is using

14/3 × x gallons in x hours

y = 17 - (14/3 × x)

the gas left in the tank is decreasing by 14/3 gallons per hour.

Answer:

(3x+y) (2x-7y)

Step-by-step explanation:

first write -19xy as a difference and you get 6x^2+2xy-21xy-7y^2

and then take the factor 2x from the expression that is 2x(3x+y) and do the same with the -7 that is = -7(3x+y). So this is you answer= (3x+y)(2x-7)

The volume of the shipping crate is 36 m per cube.

According to the statement

we have given that the

A rectangular-prism-shaped toy chest is 2 m by 1 m by 1 m. A shipping crate is packed with 18 of these toy chests.

And we have to find the volume of the crate.

So,

volume of toy = 2*1*1

Volume of toy = 2 meter per cube.

And Now,

The volume of shipping crate = Volume of one toy* total number of toys in crate

so, Substitute the values in the formula then

The volume of shipping crate = Volume of one toy* total number of toys in crate

The volume of shipping crate = 2*18

The volume of shipping crate = 36 m per cube.

So, The volume of the shipping crate is 36 m per cube.

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Answer:

using pythagoras theorem

The correct answer is identity

Answer: [tex]y+6=-2(x-4)[/tex]

Step-by-step explanation:

See attached image.

The domain and the range of the function are given as follows:

b. Yes; domain: all re.al numbers; range: y greater-than-or-equal-to 0.

Since each input is related to only one output values, the graph is a function. It is defined for all values of x, assuming only non-negative values, hence the correct option is:

b. Yes; domain: all re.al numbers; range: y greater-than-or-equal-to 0.

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Steps for finding the bottleneck and capacity in a process with rework:

Therefore, steps for finding the bottleneck and capacity in a process with rework:

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The surface area of pyramid is 47km^2

A regular pyramid has a base that is a regular polygon and a vertex that is above the center of the polygon.

A pyramid is named after the shape of its base. A rectangular pyramid has a rectangle base. A triangular pyramid has a triangle base.

Given that the base of the pyramid is 5 km and the slant height is 4.7km

We need to find the surface area of pyramid

We know that

The lateral surface of pyramid = 4 *(1/2* length of base * slant height)  

= 2*5*4.7

=47km^2

Hence the surface area of the pyramid is 47km^2

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Answer:

11/20

Step-by-step explanation:

55% = 55/100

by simplifying this fraction (divide top and bottom by 5), you get 11/20

Answer:

f(x) = 50x + 100

Explanation:

The term "Rs. 100" is constant. The term "Rs. 50" keeps changing per km.

Linear equation: y = mx + b, where 'm' is rate of change, 'b' is constant

Equation built:

f(x) = 50x + 100

This will determine the cost for journey of x meters.

Answer:

The slope of the line segment CD is ( - [tex]\frac{8}{9}[/tex] )

Step-by-step explanation:

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

Coordinates of the midpoint are

( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )

The slope of a line segment with coordinates of the ends

( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )

( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )

is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

~~~~~~~~~~~~~

Point D is the midpoint of a segment AB

A ( 4 , 12 )

B ( - 6 , - 8 )

( [tex]\frac{-6+4}{2}[/tex] , [tex]\frac{-8+12}{2}[/tex] ) = ( - 1 , 2 )

D ( - 1 , 2 )

C ( 8 , - 6 )

[tex]m_{CD}[/tex] = [tex]\frac{-6-2}{8-(-1)}[/tex] = - [tex]\frac{8}{9}[/tex]

The final temperature at the time Tariq goes to bed was +12 degrees, represented as integers.

The initial temperature of the day was 0 degrees.

The temperature rose 23 degrees in the afternoon.

This implies that we move +23 on the scale, represented as an integer.

The temperature decreased 11 degrees in the evening.

This implies that we move -11 on the scale, represented as an integer.

This moves the temperature to +23 -11 = +12 degrees, represented as an integer.

Thus, the final temperature at the time Tariq goes to bed was +12 degrees, represented as integers.

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4x² + 3xy - 7 + (y) = x² -5xy

y = -3x² - 8xy + 7

The correct answer is -3x² -8xy + 7

x intercept:-

put y =0

(5,0)

y intercept

put x=0

(0,10)

option C

Question 1: Given a(x) = x + 5, what are the x-intercepts and y-intercepts of a?

a. x-intercept at (-5,0), y-intercept at (0,5)

b. x-intercept at (5,0), y-intercept at (0,-5)

c. x-intercept at (0,5), y-intercept at (5,0)

Answer: a

The x-intercept is the place where the graph touches the x-axis. Since the equation for the x-axis is just y=0, we can put in 0 for y to get it.

0 = x + 5

x = -5

Since x is -5 and y is 0, the x-intercept is at (-5,0).

The y-intercept is the place where the graph touches the y-axis. Since the equation for the y-axis is just x=0, we can put in 0 for x to get it.

y = 0 + 5

y = 5

Since x is 0 and y is 5, the y-intercept is at (0,5).

Question 2: Given b(x) = 2x + 1, what are the x-intercepts and y-intercepts of b?

a. x-intercept at (0.5, 0), y-intercept at (0, 2)

b. x-intercept at (-0.5,0), y-intercept at (0, 1)

c. x-intercept at (0, -0.5), y-intercept at (1,0)

Answer: b

The x-intercept is the place where the graph touches the x-axis. Since the equation for the x-axis is just y=0, we can put in 0 for y to get it.

0 = 2x + 1

x = -0.5

Since x is -0.5 and y is 0, the x-intercept is at (-0.5,0).

The y-intercept is the place where the graph touches the y-axis. Since the equation for the y-axis is just x=0, we can put in 0 for x to get it.

y = 2(0) + 1

y = 1

Since x is 0 and y is 1, the y-intercept is at (0,1).

Question 3: Given c(x) = 3x - 2, what are the x-intercepts and y-intercepts of c?

a. x-intercept at (-2,0), y-intercept at (0,2/3)

b. x-intercept at (0, 2), y-intercept at (3/2, 0)

c. x-intercept at (2/3, 0), y-intercept at (0, -2)

Answer: c

The x-intercept is the place where the graph touches the x-axis. Since the equation for the x-axis is just y=0, we can put in 0 for y to get it.

0 = 3x - 2

x = [tex]\frac{2}{3}[/tex]

Since x is 2/3 and y is 0, the x-intercept is at (2/3,0).

If the equation is in the form y = mx + b, the y-intercept will be b. The y-intercept also crosses the graph x = 0, so the y-intercept is (0, -2).

Question 4: Given d(x) = -x + 1, find the x-intercepts and y-intercepts of d.

a. x-intercept at (0, 1), y-intercept at (1,0)

b. x-intercept at (1, 0), y-intercept at (0, -1)

c. x-intercept at (1,0), y-intercept at (0,1)

Answer: c

The x-intercept is the place where the graph touches the x-axis. Since the equation for the x-axis is just y=0, we can put in 0 for y to get it.

0 = -x+1

x = -(-1) = 1

Since x is 1 and y is 0, the x-intercept is at (1,0).

If the equation is in the form y = mx + b, the y-intercept will be b. The y-intercept also crosses the graph x = 0, so the y-intercept is (0, 1).

Question 5: Given f(x) = -7x+5, find the x-intercepts and y-intercepts of f.

a. x-intercept at (-5/7, 0), y-intercept at (0, -7/5)

b. x-intercept at (5, 0), y-intercept at (0, 5/7)

c. x-intercept at (5/7, 0), y-intercept at (0, 5)

Answer: c

The x-intercept is the place where the graph touches the x-axis. Since the equation for the x-axis is just y=0, we can put in 0 for y to get it.

0 = -7x+5

x = -5/-7= 5/7

Since x is 5/7 and y is 0, the x-intercept is at (5/7,0).

If the equation is in the form y = mx + b, the y-intercept will be b. The y-intercept also crosses the graph x = 0, so the y-intercept is (0, 5).

Answer:

18 stamps of 13 cent

24 stamps of 18 cent

Step-by-step explanation:

we have to solve the following system:

x + y = 42              equation (1)

13x + 18y = 666     equation (2)

(1) ⇒ y = 42 - x

We substitute y by 42 - x in equation (2) :

13x + 18(42 - x) = 666

⇔ 13x + 756 - 18x = 666

⇔ -5x + 756 = 666

⇔ -5x = 666 - 756

⇔ -5x = -90

⇔ x = 18

…………………………

Then

y = 42 - x

  = 42 - 18

  = 24

By critically observing the graph shown in the image attached below, we can logically deduce that the slope of the graph of this function is equal to 0 for x, between x = -3 and x = -2.

Similarly, the slope of the graph of this function is also equal to 0 for x, between x = 3 and x = 4.

Based on the graph (see attachment), the greatest value of y is 4 while the smallest value of y is -3.

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The probability of drawing a red four and then a blue four is:

P = 1/100

We know that there are 10 cards in total, then the probability of drawing a red four (there is only one of these cards) is:

p = 1/10

Now we put the red four again, the probability of getting a red blue is computed in the same way:

q = 1/10

The probability for both events happening consecutively is:

P = p*q = (1/10)*(1/10) = 1/100

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Answer:

-5y-4=-(x+3)2-1/(2)

Step-by-step explanation:

ANSWER: It's D

Have a great day!!!