Answer:
A.) Function one has a larger maximum at (4,1)
Step-by-step explanation:
The function f(x) = -x² + 8x - 15 will have larger maximum at ( 4,1 ) so option (B) will be correct.
What is a function?
A certain kind of relationship called a function binds inputs to essentially one output.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
A function can be regarded as a computer, which is helpful.
Given 1 function,
f(x) = -x² + 8x - 15
f(x) = -(x² - 8x + 15 )
f(x) = - [(x - 4)² - 16 + 15 ]
f(x) = -(x-4)² + 1
So vertex will at ( 4,1 )
In function 2,
f(x) = −x² + 2x − 3
f(x) = - [ x² - 2x + 3 ]
f(x) = -[ (x-1)² - 1 + 3 ]
f(x) = - (x-1)² - 2
So vertex will at ( 1, -2 )
Since in function(1) maximum is at y = 1 while in function (2) maximus is at y = -2
Hence Function 1 has the larger maximum at (4, 1).
For more about the function
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A large school district claims that 80% of the children are from low-income families. 150 children from the district are chosen to participate in a community project. Of the 150 only 70% are from low-income families. The children were supposed to be randomly selected. Do you think they really were
Incomplete question. However, I answered from a general research perspective.
Explanation:
Note, the term sample used in statistical research refers to subjects or persons carefully selected (using a particular sampling method/type ) to represent the target population.
A randomly selected sample could be done as either:
Simple Random Sampling Stratified Random Sampling Cluster Random Sampling.Systematic Random Sampling.Using any of the above sampling methods could result in 70% of the population being from low-income families as this is a matter of chance. Hence, we can agree with the research results.
Using the z-distribution, it is found that since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the children were not randomly selected.
At the null hypothesis, we test if they were really randomly selected, that is, the proportion is of 80%:
[tex]H_0: p = 0.8[/tex]
At the alternative hypothesis, we test if they were not randomly selected, that is, the proportion is of less than 80%.
[tex]H_1: p < 0.8[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
[tex]p = 0.8, n = 150, \overline{p} = 0.7[/tex]
Then, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.7 - 0.8}{\sqrt{\frac{0.8(0.2)}{150}}}[/tex]
[tex]z = -3.06[/tex]
The critical value for a left-tailed test, as we are testing if the proportion is less than a value, with a significance level of 0.05, is of [tex]z^{\ast} = -1.645[/tex].
Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the children were not randomly selected.
A similar problem is given at https://brainly.com/question/24166849
8x/2 = 24, what value for x makes this equation true?
Answer:
x=6
Step-by-step explanation:
8x/2= 24
8x = 24× 2
8x= 48
8x÷8 = 48÷8
x= 6
Answer:
6
Step-by-step explanation:
multiply both sides by 2/8 to isolate x.
8/2x=24
2/8(8/2)x=2/8(24)
x=48/8
x=6
WILL GIVE BRANLIEST.
Which of the following statements are true?
Select 4 correct answers
1. All of the coordinate pairs in Quadrant 1 are positive.
2. All of the coordinate pairs in Quadrant 3 are negative.
3 All of the coordinate pairs in Quadrant 2 are positive.
4 Everything to the left of zero on the x axis is negative, everything below zero on the y axis is negative.
5The x axis is positive in quadrants 1 & 3
6 The y axis is negative in Quadrants 3 & Quadrant 4.
Answer:
1. True
2. True
3. False
4. True
5. False
6. True
7. Jesus.
Find the value of x :)
Answer:
x = 20
Step-by-step explanation:
→ Remember how many degrees are on a straight line
180°
→ Set up an equation
2x + 70 + 3x + 10 = 180
→ Simplify
5x + 80 = 180
→ Minus 80 from both sides
5x = 100
→ Divide both sides by 5
x = 20
Answer:
x=20
Step-by-step explanation:
Those add up to 180 degrees because a straight line is 180 degrees
Equation
2x + 70 + 3x + 10 = 180
Add liked terms
2x+3x=5x
5x+80=180
5x+80-80=180-80
Divide both sides by 5
5x=100
x=20
hope this helps and good luck! <3
Is this a polygon?
Yes or no
Answer: No
Step-by-step explanation:
Please answer this asap
Step-by-step explanation:
F) Nine hundred thirty two and 76 hundredth
hope it is helpful to you
What would y be if x was equal to 410 billion?
Answer:
it would be any number because variables don't mean a certain,number
Triangles JKL and PQR are congruent, where I corresponds to P, and K corresponds to Q.
The measure of angle J is 20°, the measure of angle K is 15°, and the measure of angle L is 145º.
What is the measure of angle P?
15°
20°
35°
145°
PLEASE HELPPPP
Answer:
20°
Step-by-step explanation:
Congruent Triangles:
If two triangles are congruent, their angles have the same measure.
Angle P corresponds to Angle J
Angle J measures 20º, so angle P will also measure 20º
Given the coordinates for the function below, who of the following are coordinates for its inverse?
Answer:
If we have a function f(x) that has an inverse g(x), we have the relations:
f( g(x)) = x
g( f(x)) = x
Then if the coordinates for the function f(x) are points like (x₁, y₁)
The coordinates for the inverse, g(x), will be (y₁, x₁)
Now let's look at the table, here we can see that the coordinates for f(x) are:
(0, 650)
(100, 550)
(200, 450)
(340, 310)
(650, 0)
Then the coordinates of the inverse function will be:
(650, 0)
(550, 100)
(450, 200)
(340, 310)
(0, 650)
Please solve this: the area of a rectangular piece of card is 56cm square.
9514 1404 393
Answer:
7 cm
Step-by-step explanation:
The formula for the area of a rectangle tells you the area is the product of length and width:
A = LW
56 = 8W
From your knowledge of multiplication tables, you know that ...
56 = 8·7
That is, W = 7 . . . cm.
The width of the card is 7 cm.
Answer:
7 cm is the answer.Step-by-step explanation:
#CarryOnLearningCAN SOMEONE PLS DO TBJS U HAVE TO SHOW WORK BUT ITS EASG AND DOESNT NEED TO BE PERFECTT
Answer:
area? is that what u need? or perimeter
Step-by-step explanation:
Raj rides his bike for 3.4 miles. What is the length of Raj's bike ride in feet? Enter your answer in the box.
Answer:
Hey there!
I belive the answer is 17952 ft
which if you multiply 3.4 miles x 5280 is equal to 17952 ft.
Hope this can help! Please correct me if im wrong!
What is the answer to this problem?
Answer:
0.5 if rounded to the nearest tenth
Step-by-step explanation:
Simplify the following expression.
-20 + (-15)
O A 5
OB. -35
O C.
-5
OD. 35
Reset
Submit
Answer:
B) -35
Step-by-step explanation:
(1 point) Rewrite the logarithmic expression \log(A\sqrt{B}) \log(A^2) in equivalent logarithmic form. There may be more than one correct answer. A. \log(A) - 2\log(B) \log(A^2) B. \frac{\log(A)\log(B)}{2} 2\log(A) C. \log(A) \frac{1}{2}\log(B) \log(A^2) D. \log(A^{3}) \frac{1}{2}\log(B) E. 3\log(A) \frac{1}{2}\log(B) F. \log(A^3\sqrt{B}) G. None of the above
Answer:
Step-by-step explanation:
Answer:
C.D.E.F
Step-by-step explanation:
log(A\sqrt{B}) \log(A^2)
A. \log(A) - 2\log(B) \log(A^2)
Answer A is wrong because sqrt is denoted by 1/2 and the coefficient of log B is 2 not 1/2
B. \frac{\log(A)\log(B)}{2} 2\log(A)
Answer B is wrong because 2 is multiplied by B instead of 1/2
C.\log(A) \frac{1}{2}\log(B) \log(A^2)
Answer C is correct because 1/2 is multiplied by log B
D. \log(A^{3}) \frac{1}{2}\log(B)
Answer D is also correct because 1/2 is multiplied by log B
E. 3\log(A) \frac{1}{2}\log(B)
Answer E is also correct because 3 is co efficient of log A
F. \log(A^3\sqrt{B})
This is correct. Here the log is applied to the given fraction
Grace and her friends just dined at a restaurant and left a tip of
$16.93, which was equal to exactly 22% of the total bill. What
was the total bill in dollars? Round your answer to two decimal
places.
Answer:
$76.95
Step-by-step explanation:
If you reverse it the equation is 16.93 divided by .22 and you get the total which is 76.95
You can check your answer by doing 76.95 times .22 and get the tip which is 16.93
PLEASE MARK ME BRAINLIEST
Approximate, in square meters, the area of a circle with radius = 58.2 m. (Round your answer to three decimal places.)
Answer:
10,635.934 m^2
Step-by-step explanation:
The formula for area of a circle is π r² (pi ⋅ radius ⋅ radius)
According to the word problem, 58.2 is the radius.
Now that we know the radius, we have our final equation:
pi ⋅ radius ⋅ radius
(3.14 IS USED FOR PI)
3.14 ⋅ 58.2 ⋅ 58.2 = 10,635.9336
10,635.9336 rounded to the three decimal places (to the nearest thousandth): 10,635.934
Therefore, the area of this circle in square meters is 10,635.934 m^2.
1. Write the point-slope form of the equation of the line with a slope of 2 that
goes through the point (4,-4).
Answer:
y+4=2(x-4)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-4)=2(x-4)
y+4=2(x-4) point slope form
Express in the form 1: n.
Give n as a decimal.
18:9
Answer:
n = 0.5
Step-by-step explanation:
HELP IS STUDY ISLAND I NEED THIS NOW
Answer:
i think A. 6 in
Step-by-step explanation:
because the lenght is diagram 3
If ZP and ZQ are complementary angles,
mZP = 7x + 3, and mZQ = 16x – 5, find mZP.
A. 31°
B. 34°
C. 56
D. 59°
Please help!!!!!!!!!!
pls help its due soon
Calculate the Volume
Pls help
Answer:
420
Step-by-step explanation:
Multiply length, times width, times height to get your answer.
7 times 12 times 5=420
yvonne is 3 years younger than her sister.the sum of thier ages is 25 years.
Answer:
mk?
Step-by-step explanation:
Find the value of 4.5 times the value of one fourth of 12
Answer: 13.5
Step-by-step explanation: 1/4 of 12 is 3, so 3x4.5=13.5
18 times 200 is how much
dont actually answer i just wanna talk
18 time 200 is 3600 that's it
Answer:
hey lily its Josh i just wanted to say im sorry for not talking to yu but i do still love and miss yu nd be careful ok and we need to catch up whenever ur free
Step-by-step explanation:
table below shows the number of miles run each day of the week. Which list shows the number of miles
run in order from least to greatest?
Monday, Thursday, Wednesday, Tuesday
Monday, Thursday, Wednesday, Tuesday
Thursday, Tuesday, Wednesday, Monday
Thursday, Tuesday, Wednesday, Monday
Monday, Wednesday, Tuesday, Thursday
Monday, Wednesday, Tuesday, Thursday
Tuesday, Monday, Wednesday, Thursday
Answer:
monday wednesday tuesday thursday
Step-by-step explanation:
edge 2020
Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.
What is Fraction?A fraction represents a part of a whole.
Monday = [tex]3\frac{1}{3}[/tex]
Convert mixed fraction to improper 10/3
Decimal value 3.33
Tuesday = [tex]3\frac{2}{5}[/tex]
The improper fraction is 17/5
Decimal value 3.4
Wednesday = [tex]3\frac{3}{8}[/tex]
The improper fraction is 27/8
Decimal 3.375
Thursday = [tex]3\frac{1}{2}[/tex]
The improper fraction is 7/2 which is 3.5
Hence, Monday, Wednesday, Tuesday and Thursday is the order from least to greatest.
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The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius ?
Step-by-step explanation:
Cone Volume = 1/3 ×( π r² h) h = 2 × diameter = 2 × 2 × r
Cone Volume = 1/3 ×( π r² h) h = 2 × diameter diameter = 2r
= 2 × (2 × r)
= 4r
Cone Volume = 1/3 ×( π r² 4r)
= (4 π r³ / 3)
Each person in a group shuffles a deck of cards and keeps selecting a card until a queen appears. Find the mode of the
following number of cards drawn from a deck until a queen appears.
3,12,3, 11,5,5, 3, 10, 12
Answer:
3
Step-by-step explanation:
