Answer:
The function is Speed, f(t) = x/t
Step-by-step explanation:
The given information are;
The distance the man drove = 40 miles
The duration of time the man drove = 2-hours
Given that a function maps each item of the input domain to a single item of the output domain, we can have the following relation for the above parameters;
Speed = (Distance travelled)/(Time taken)
Where, speed f(t), is a function of the time taken, t, to travel a distance x
The function is therefore;
Speed, s = f(t) = x/t
Speed = 40/2 = 20 mile per hour.
Answer:
The function is Speed, f(t) = x/t
Step-by-step explanation:
its late but i hope it helps
Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 6.4-in and a standard deviation of 0.9-in. In what range would you expect to find the middle 50% of most head breadths? Between and . If you were to draw samples of size 47 from this population, in what range would you expect to find the middle 50% of most averages for the breadths of male heads in the sample? Between and . Enter your answers as numbers. Your answers should be accurate to 2 decimal places.
Complete Question
Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the population of potential clientele have head breadths that are normally distributed with a mean of 6.4-in and a standard deviation of 0.9-in.If you were to draw samples of size 47 from this population, in what range would you expect to find the middle 50% of most averages for the breadths of male heads in the sample
Answer:
The range is from [tex] \=x_1 = 6.312 [/tex] to [tex] \=x_2 = 6.488 [/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 6.4 \ in[/tex]
The standard deviation [tex]\sigma = 0.9 \ in[/tex]
The sample size is n = 47
Generally the standard error is mathematically represented as
[tex]\sigma_{\= x} = \frac{0.9}{\sqrt{47} }[/tex]
=> [tex]\sigma_{\= x} = 0.13128 [/tex]
Generally the proportion where the middle 50% of most average for the breaths of male heads in the sample is mathematically evaluated as
[tex]P(\= x_1 < \= X < \= x_2 ) = P(\frac{\=x_1 - \mu }{\sigma_{\= x} } < \frac{\= X - \mu }{\sigma_{\= x} } < \frac{\=x_2 - \mu }{\sigma_{\= x} } ) = 0.5[/tex]
Generally [tex]\frac{\= X - \mu }{\sigma_{\= x} } = Z(The \ standardized \ value \ of \ \= X )[/tex]
So
[tex]P(\= x_1 < \= X < \= x_2 ) = P(\frac{\=x_1 - 6.4}{ 0.13128 } <Z < \frac{\=x_2 - 6.4 }{0.13128} ) = 0.5[/tex]
From the z table the z-score of 0.5 is
[tex]z-score = \pm 0.674[/tex]
So
[tex]\frac{\=x_1 - 6.4}{ 0.13128 } = -0.674[/tex]
[tex] \=x_1 = 6.312 [/tex]
and
[tex]\frac{\=x_2 - 6.4}{ 0.13128 } = 0.674[/tex]
[tex] \=x_2 = 6.488 [/tex]
13. A discount retail store gives a 8% discount
to senior citizens. If a customer who is a senior
citizen wants to purchase an item that costs
$34.50, what is the final cost after the discount
is applied?
Answer:
the final cost is $31.74
I need help graphing
Lmk if this helped if not im sorry
Choices:
(x + 0, y -12)
(x + 8, y - 6)
(x + 1, y - 13)
(x - 7, y - 3)
(x + 10, y + 0)
Answer:
(x + 10, y + 0)
Step-by-step explanation:
in the graph, all points of the triangle (a, b, and c) are translated 10 units to the right. when things are translated to the right, the x is the number being affected.
MAX POINTS!! PLEASE HELP WITHIN 2 DAYS Using the three indicated points on the given line and the concept of similar triangles, show and explain why the slope of the line is the same between any two of these three points. Calculate the slope of the line.
Answer:
The reason is because there is a constant rate of change. notice how the rise over run stay the same even though they dont fall on the exact point's.
Use rise over run to find the first part of your answer, then use the slope formula to find out the rest. the slope formula is m = rise over run.
Step-by-step explanation:
where m= slope, and rise over run will help you find the slope.
CAN SOMEBODY PLEASE HELP ME WITH THIS QUESTION!!!!
Answer:
nope sorryyyyyy
Step-by-step explanation:
Diego's club earns money for charity when members of the club perform community service after school,each student who does community service, the club earns $5. There are 12 students in the club,The total dollar amount earned, E. Is a function of the number of members who perform communityservice, n. Is 24 a possible output
Answer:
No
Step-by-step explanation:
Given that:
Amount earned when a student does comminty service = $5
Number of students in club = 12
Amount earned E, is a function of number of members (n) who does community service.
Hence,
E = n * amount earned per member
Is 24 a possible output?
To test, then E = 24
24 = n * 5
24 = 5n
24/5 = 5n/5
4.8 = 5
Hence, 24 is not a possible output, be use number of membwra cannot be a decimal
Twelve less than three times an number is -15. What is the equation ? What is the number ?
Answer:
3x - 12 = -15
x = -1
Step-by-step explanation:
3x - 12 = -15
3x = -3
x = -1
The graph shows a system consisting of a linear equation and a quadratic equation. What is the solution to the system?
Which of the following is equal to -24? Choose all that apply
PLEASSEEE HELP MEEEEE
Answer:
47°
Step-by-step explanation:
a staight angle equals 180 degrees
180=6x+29+3x+124
x=3
18+29=boc
boc=47
btw, if u know how to do my question could u plz help
thx
Answer: angle BOC is 47°
Step-by-step explanation:
Supplementary angles add to 180°
6x + 29 + 3x + 124 = 180
6x + 3x + 29 + 124 = 180
9x + 153 = 180
9x = 180 -153
9x = 27
x = 3
Substitute 3 for x in ∠BOC = 6x +29
6(3) + 29 = ∠BOC
18 + 29
47° =m∠BOC
A truck is leaving a post office and heading out to deliver mail. The table shows the truck's distance d from the post office at time t. Calculate the average rate of change over the interval from 8 to 15 minutes.
Answer:
1km per minute
Step-by-step explanation:
Given the table in the picture :
The average rate of change over the interval from 8 to 15 minutes will be :
Change in distance / change in time
Change in distance between 8 and 15 minutes :
Distance d1 at 8 minutes t1 = 7km
Distance d2 at 15 minutes t2 = 14km
Average rate of change = (d2 - d1) / (t2 - t1)
Average rate of change = (14 - 7)km / (15 - 8)min
Average rate of change = 7km / 7minutes
Average rate of change = 1km per minute
Answer:
The rate of change is 1 kilometer per minute
Step-by-step explanation:
Subtract 1 + ( - 1 ) - ( - 3 ). Hint: Add the first two numbers, then subtract the -3 from the result of that addition.
3
5
-5
-3
Answer:
3
Step-by-step explanation:
1 + (-1) - (-3)
when adding a negative number to a positive number remove the addition sign.
1 - 1 - (-3)
0 - (-3) Make addition sign
0 + 3 = 3
A positive number exceeds four times its reciprocal by 3.
Find the number.
Answer:
the same
Step-by-step explanation:
because the binomial and trinomial is the same
The temperature of a heated swimming pool varies from 78 degrees F by no more than 2 degrees F" Name the least and greatest possible temperatures of the pool. Then write a compound inequality to represent all of the pool's possible temperatures.
Answer:
1 degrees and 60 degrees
Step-by-step explanation:
Solve for x.
50x + 54 = 34x + 46
Answer:
x = -1/2
Step-by-step explanation:
50x + 54 = 34x + 46
Subtract 34x from each side
50x-34x + 54 = 34x-34x + 46
16x +54 = 46
Subtract 54 from each side
16x+54-54 = 46-54
16x = -8
Divide by 16
16x/16 = -8/16
x = -1/2
Answer:
[tex]x=-\frac{1}{2}[/tex]
Step-by-step explanation:
So we are given an equation and we are asked to solve for x.
50x + 54 = 34x + 46
Subtract 54 from both sides.
50x = 34x - 8
Subtract 34x from both sides.
16x = -8
Divide both sides by 16.
[tex]x=-\frac{1}{2}[/tex]
So now we have solved for x. We have found that [tex]x=-\frac{1}{2}[/tex].
I hope you find my answer and explanation to be helpful. Happy studying.
Write the equation of the line in slope-intercept form that has : slope: 3 and point : (1,0)
Answer: y=3x-3
Step-by-step explanation: First plot your point then use the slope to plot another one and get a line. then use slope-intercept formula y=mx+b. M= slope which is 3 and B= the y-intercept.
Answer:
y=3x-3
Step-by-step explanation:
Select the correct answer.
Solve the following inequality.
17 5-3x + 2 5 26
11
O
B.
-
-
On sos-
-3 sos-
OC. 15 < r < 24
OD. -8 < x < -5
19
3
Answer:
D
Step-by-step explanation:
Given
17 ≤ - 3x + 2 ≤ 26 ( subtract 2 from each of the 3 intervals )
15 ≤ - 3x ≤ 24
Divide the 3 intervals by - 3, reversing the symbols as a result of dividing by a negative quantity.
- 5 ≥ x ≥ - 8 , that is
- 8 ≤ x ≤ - 5 → D
[tex]17 \leqslant - 3x + 2 \leqslant 26[/tex]
Subtract sides -2
[tex]17 - 2 \leqslant - 3x + 2 - 2 \leqslant 26 - 2 \\ [/tex]
[tex]15 \leqslant - 3x \leqslant 24[/tex]
Divided sides by -3
=======================================
Point :
When the sides of a inequality multiply or divided by an negative number It changes direction and returns them.
=======================================
Thus ;
[tex] \frac{15}{ - 3} \geqslant \frac{ - 3}{ - 3}x \geqslant \frac{24}{ - 3} \\ [/tex]
[tex] - 5 \geqslant x \geqslant - 8[/tex]
[tex] - 8 \leqslant x \leqslant - 5[/tex]
Thus the correct answer is (( D )) .
_________________________________
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Translate “58 is less than a number less than 126” into math symbols
Answer:
58 ≤ x ≤ 126
Step-by-step explanation:
hopefully i understood that
HELP
The cost of an iPhone X is $1,149.00. The cost of an iPhone 4 is $199.00. How many times greater is the
cost of an iPhone X than an iPhone 4? Round your answer to the nearest tenth.
show your work please
Answer:
The answer you are looking for is 5.8 times greater
Answer:
5.8 or 6
Step-by-step explanation:
round 1149 to 1150
round 199 to 200
your answer would be 5.75 round that to 6
What is 5 + 2^3 divided by 4 - 2
USE PENDAS
and show step by step of how you got to your answer
Will give BRAINLEST though only if the work you showed is correct AND the answer.
Answer:
1. if its (5+2^3)/4-2 then its 6.5
2. if its just 5+2^3/4-2 then its 5
Step-by-step explanation:
1. (5+2^3)/4-2
(5+8)/4-2
(13)/4-2
(13)/2
6.5
2. 5+2^3/4-2
5+8/4-2
5+2-2
7-2
5
Can zero be a solution of a quadratic equation? Explain
- tysm pooo
Answer:
If the discriminant is less than 0, the equation has no real solution. Looking at the graph of a quadratic equation, if the parabola does not cross or intersect the x-axis, then the equation has no real solution. And no real solution does not mean that there is no solution, but that the solutions are not real numbers. The Zero-Product Property states that for all real numbers a and b, if [tex]ab=0[/tex], then a=0 or b=0.
We can The Zero-Product Property to solve a quadratic equation when we can factor the standard form of the equation. Because when we apply The Zero-Product Property to a factored quadratic equation we can find the x-intercepts of the graph of the related functions. Respectively we can find the solutions to the quadratic equation.
1. Write a paragraph proof for the following conjecture.
Given: QS bisects ∠PQR.
m∠PQS = 45°
.
Prove: []PQR is a right triangle.
10 points, help asap
QS bisects the ^PQR^ :
So -----¢ PQS = SQR = 45°
_________________________________
PQR = PQS + SQR = 45°+ 45° = 90 °
Q^ = 90° ----¢ So the PQR triangle is a
right triangle.
NEED AWNSERS ASAP!!!
Answer:
3x+2x=95
5x=95
X=19
Step-by-step explanation:
it may help you to understand
pick the one with the greatest value.
21
|-23|
|-32|
-32
Answer:
32
Step-by-step explanation:
Absolute value of |-32| = 32
Answer: |-32|
Step-by-step explanation:
If g(x) = 2x2 - 4, find g(-2)
Answer:
2(-2)2=0
Step-by-step explanation:
if you meant to put it a different way tell me and i can do the correct one, just because this one seems weird lol
The value of the function when x = -2 then g(-2) = 4.
What is a function?A function is defined as a relation between the set of inputs having exactly one output each. The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can be represented by mathematical symbol.
WE have been given an function as g(x) = 2x² - 4
Now plug the value x = -2 in the given function;
g(-2) = 2(-2)² - 4
g(-2) = 2 x 4 - 4
g(-2) = 8 - 4
g(-2) = 4
Therefore, the value of the function when x = -2 then g(-2) = 4.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ2
HELP ME PLEASE THANK YOU
Can someone help me out please ?
Answer:
second one pretty sure
Step-by-step explanation:
Help asap please show your work
Answer:
false
Step-by-step explanation:-3 in the () means -3 x -3 which is positive 9, where as without () it's -3x3 which is -9. Positive 9 is bigger than -9.
Answer:
False
Step-by-step explanation:
-3^2 = -(3^2) = -(3 × 3) = -9
(-3)^2 = -3 × -3 = 9
-9 < 9
how many centimeters are there in 5 feet
Answer:
152.4 centimeters
Step-by-step explanation: