If it is :
[tex]y = f(x) = {x}^{4} [/tex]
_________________________________
[tex]f( - 4) = ({ - 4})^{4} = 256 [/tex]
_________________________________
[tex]f(2) = {2}^{4} = 16 [/tex]
_________________________________
[tex]f(8) = {8}^{4} = 4096 [/tex]
Range = { 16 , 256 , 4096 }
##############################
If it is :
[tex]y = f(x) = 4x[/tex]
_________________________________
[tex]f( - 4) = 4( - 4) = - 16[/tex]
_________________________________
[tex]f(2) = 4(2) = 8[/tex]
_________________________________
[tex]f(8) = 4(8) = 32[/tex]
Range = { -16 , 8 , 32 }
##############################
And we're done.....♥️♥️♥️♥️♥️
Records on a fleet of trucks reveal that the average life of a set of spark plugs is normally distributed with a mean of 22,100 miles. A manufacturer of spark plugs claims that its plugs have an average life in excess of 22,100 miles. The fleet owner purchased 18 sets and found that the sample average life was 23,400 miles, the sample standard deviation was 1,500 miles and the computed test statistic was 3.677. Based on these findings, there is enough evidence to accept the manufacturer's claim at the 0.05 level.
Answer:
There no sufficient evidence to support the manufactures claim at the 0.05 level
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 22100 \ miles[/tex]
The sample mean is [tex]\= x = 23400 \ miles[/tex]
The sample size is [tex]n = 18[/tex]
The standard deviation is [tex]\sigma = 1 500 miles[/tex]
The test statistics is [tex]t = 3.677[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu = 22100[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne 22100[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(t >3.677 )[/tex]
From the z-table [tex]P(t >3.677 ) = 0.000118[/tex]
So
[tex]p-value = 2 * 0.000118[/tex]
=> [tex]p-value = 0.000236 [/tex]
From he value given and obtained we see that [tex]p-value < \alpha[/tex]
Hence we reject the null hypothesis
Hence there no sufficient evidence to support the manufactures claim
How do you do this question? And why is the answer E and not A?
Step-by-step explanation:
The answer should be A.
We can start with the fact that x = cos t, y = sin t traces the unit circle counterclockwise once every 2π radians, starting at (1, 0).
By starting at t = π instead of t = 0, we move the starting point to (-1, 0) without changing the direction.
All 5 options have the correct starting point (except D) and number of rotations, but only option A is counterclockwise.
is this relation a function? justify your answer (2,3 4,9 6,10 9,5)
Answer:
Yes
Step-by-step explanation:
Each Input has a different output making it a function
25. What is the slope of the line that passes through the points (8, 1) and (5, 7)?
9514 1404 393
Answer:
-2
Step-by-step explanation:
You can use the formula for slope (m) to find it:
m = (y2 -y1)/(x2 -x1)
m = (7 -1)/(5 -8) = 6/-3 = -2
The slope of the line is -2.
What is the surface area of the pyramid 8in 8 in 6in.
Answer:
mhbdjhdfvvbjd
Step-by-step explanation:
hbgjtrhkbgb
Answer:
384 inches
Step-by-step explanation:
A=lwh
2 po
2) At the sixth-grade school dance, there are 132 boys, 89 girls, and 14
adults. Write the ratio of the number of girls to the TOTAL number of
people at the dance. *
NO SPACES and use a colon:
Answer:
Step-by-step explanation:
Girls:Total number of people
89:235
89:47
if (x + 4) is a factor of polynomial p, which statement must be true?
A.p(4) = 0
B. p(-4) > 0
C. p(-4) = 0
D. p(4) < 0
Answer: p(-4)=0
Step-by-step explanation:
100% correct
If x + 4 is factor of polynomial p than p(-4) = 0. Hence, option C. is correct.
(x + 4) is a factor of polynomial p
Factors can be define splitting the value in multipliable values.
If x + 4 is factor of the polynomial p
This can be true only if,
x + 4 = 0
x = -4, satisfy the polynomial equation i.e.
p(-4) = 0
Thus, x + 4 will be the factor of polynomial p only if p(-4) = 0.
Learn more about Factors here:
https://brainly.com/question/24182713
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A sports club tests its players for steroid usage with a test that gives a positive reading 93% of the time when administered to a steroid user and gives a negative reading 96% of the time when administered to a player who does not use steroids. It is known that 8% of the players are steroid users. Draw a probability tree diagram for the given problem.
What is the probability that a player does not use steroids, given that the person had a positive reading on the test? Round your answer to four decimal places.
Answer:
P(no steroid user / positive reading on test) = 0.3309
Step-by-step explanation:
Computation:
Bayes' Theorem:
P(A / B) = P(A and B) / P(B)
P(no steroid user / positive reading on test) = P(no steroid user and positive) / P(positive)
P(no steroid user / positive reading on test) = (0.92 x 0.04)/(0.08 x 0.93 + 0.92 x 0.04)
P(no steroid user / positive reading on test) = 0.3309
The probability that a player does not use steroids, given that the person had a positive reading on the test is 0.3309.
Calculation of the probability:Since A sports club tests its players for steroid usage with a test that gives a positive reading 93% of the time when administered to a steroid user and gives a negative reading 96% of the time when administered to a player who does not use steroids. It is known that 8% of the players are steroid users.
So, here the probability should be
P(no steroid user / positive reading on test) = (0.92 x 0.04)/(0.08 x 0.93 + 0.92 x 0.04)
= 0.3309
Hence, The probability that a player does not use steroids, given that the person had a positive reading on the test is 0.3309.
Learn more about probability here: https://brainly.com/question/24442276
3 yards 2 feet is how many inches
when seventeen is reduced by two-thirds of a number, the result is 11
Answer:
9Step-by-step explanation:
Let the number be x, then:
17 - 2/3x = 112/3x = 17 - 112/3x = 62x = 6*32x = 18x = 18/2x = 9plz i need help i did some just i need help i will mark brainliest
Determine the intercepts of the line
x- intercept (_,_)
y- intercept (_,_)
Answer:
y: (0,15)
X: (-40,0)
Answer:
X intercept is (-40,0) y intercept is (0,15)
Step-by-step explanation:
The intercept is when it crosses the axis.
10 points plus brainliest!!! Please help!
What is the equation of this graphed line?
A graph with a line running through coordinates (-6, -3) and coordinates (6, -7)
Enter your answer in slope-intercept form in the box.
Answer:
y=-1/3x-5
Step-by-step explanation:
Using slope formula, -7+3/6+6=-1/3
The Y Intercept is -5
One angle of a right triangle measures 21∘. What is the measure of the other angle?
Answer: 24
Step-by-step explanation:
Answer:
The correct angle is 69⁰
Randy has $15 to spend on fruit. Using only estimation, which quantities of fruit can Randy reasonably buy? Check all that apply.
Answer:
7.2 pounds of apples
10.75 pounds of pears
4.22 pounds of strawberries
Answer:
A D E A=7.2 D=10.75 E=4.22. HOPE THIS HELPS! PLS give me brainliest...
Step-by-step explanation:
please hurry i need this fast
Answer:
option 4
Step-by-step explanation:
the first movement is a translation and then it is reflected over the y axis
Answer:
A
Step-by-step explanation:
A miniature yorkshire terrier one of the smallest dogs may weigh only 700 g. but a st. bernard the heaviest dog could easily weigh 76 kg. Find the difference in the weight of the two dogs in kilograms. what is tge difference in the dogs weights
Answer:
76-0.7=75.3 kg
Step-by-step explanation:
I don't understand the question
Solve for x: 3x − 24 = 81
Answer:
34
Step-by-step explanation:
3x -24 =81
+24 +24
3x 102
/3 /3
x = 34
Answer:
Your answer would be 105/3 or one hundred five over three.
Step-by-step explanation:
I took the test and got it correct. :)
You hire 2 students to deliver takeout menus around town. One student (Darla), delivers 350 menus in 2 hours, and another student (Drew, delivers 510 in 3 hours. Who works the faster?
Darla is faster she gets more done in less time yes drew has a higher total but he worked a extra hour
12. Which of the following sets of ordered
pairs represents a function?
A. {(0,3), (2, 6), (7, 12), (0, -3))
B. {(6, 1), (6,2), (6,3), (6,4)}
C. {-12,0), (-13, -1), (-14, -2), (-14, -3))
D. {(1, 6), (2, 6), (3, 6), (4, 6)
Answer:
D
Step-by-step explanation:
D represents a function because the input (x) is not repeating itself.
12
What type of number is -?
3
Choose all answers that apply:
Whole number
B
Integer
Rational
D
Irrational
Answer:
BBbbBbbbbbbbbbbbbbbbbb
bbbbbbbbbbbb
Step-by-step explanation:
integer
Rational
Which equation represents the sentence?
Four more than one-third a number is equal to 14.
A. 1/3(n+4)=14
B. N/3 + 4= 14
C. 4n + 1/3 = 14
D. 4(n/3) = 14
Can y'all explain to me I don't get it pleaseee help
NEED HELP !!!!!!!!!!!!!!!!!!!!!!!!
Answer:
S4. 9x=61
R1. Subtrative Property of Equality
R2. Mutiplication property of Equality
R.3 Distributive Property of Equality
R5. Division Property of Equality
Thank you guys so much for all the help :)
Answer:
29.2
Step-by-step explanation:
This technique is called the Pythagoras Theorem.
a^2+b^2=c^2
15^2+25^2=c^2
225+625=c^2
850=c^2
Take the square root out of both sides.
c= 29.1547595
Round numbers
c= 29.2
Mark me brainliest if you can. Hope this helps.
Which number is divisible by both 3 and 9?
OA) 36,359
OB) 36,622
OC) 48,618
OD) 48,667
Answer:
OC
Step-by-step explanation:
can someone please help me with this, I cant figure it out. thank you!
What are some movies, shows, and animes I should watch?
Answer:
Napolian Dynamite is a dumb funny movie and madalorian is a good show, im not into star wars but mandalrian was fun
Avatar the last air bender was a really funny series I haven't met someone who doesn't like it
The triangles shown below must be congruent.
M
40°
40°
12
12
O A. True
O B. False
The statement is true because :
Both these triangles are Congruent to each under the ASA congruence postulate . We say this because :
1) The two angles in both the triangles which are each other's corresponding part are equal ( 40° = 40° and 50° =50° )
2) There is one common side which is 12 . As both of the common sides are equal , these triangles are said to be congruent to each other .
I NEED YOUR HELP!!!!
Its the last one as i remember
a kinder garden class has 9 girls and 11 boys in class what percent of the class are girls
Answer:
45%
Step-by-step explanation:
i am not that sure but when i calculated it, i got this answer.
Answer: 55%
Explanation: 11 boys and 9 girls.....total of 20 students in the class.
of those students, 11 are boys...
11/20 = 0.55 = 55% <== so 55% are boys
