The option that represents a valid conclusion based on the given results is;
One can reject the null hypothesis.
We are told that the z-statistic was 2.1.
We are also told that the critical z-values were -1.96 and 1.96.
We see that the z-value is greater than the critical z-values.
Now, in hypothesis testing, when the z-value is greater than the critical z-values, then we reject the null hypothesis.
In conclusion, we will reject the null hypothesis.
Read more about hypothesis testing at; https://brainly.com/question/15980493
If the perimeter of a square is 7 feet how many inches long is the square on each side?
Answer:
7÷4=1.75
Step-by-step explanation:
..............
The length of each side of the square is 1.75 feet.
What is square?"It is a quadrilateral with all sides are equal and all angles are 90°"
What is the perimeter of square?"The perimeter of square is, P = 4 × a,
where 'a' is the side length of the square."
For given example,
the perimeter of a square is 7 feet.
⇒ P = 7 feet
Let 'a' be the length of each side of the square.
Using the formula of perimeter of a square,
⇒ P = 4 × a
⇒ 7 = 4 × a
⇒ a = 7 ÷ 4
⇒ a = 1.75 feet
Therefore, the length of each side of the square is 1.75 feet.
Learn more about the perimeter of a square here:
https://brainly.com/question/11495285
#SPJ2
find the sum of the following APs. a 2 + 4 + 6+ ... + 98 + 100
Answer:
S=2+4+6+…+100
S=100+98+96+…+2
Adding the two yields
2S=102+102+102+…+102 = 50(102)
Thus S=50(51)=2550
IF ANYONE IS A GENIUS AT MATH PLZ HELP AND ANSWER MY LATEST QUESTION!! I RLLY NEED HELP, IM LITERALLY GONNA CRY!!! IF YOU CAN'T FIND IT, BELOW IS AN IMAGE OF THE MATH SCENARIOS THAT I NEED HELP WITH!!! PLZ EXPLAIN EACH AND EVERY PART.
Answer:
Step-by-step explanation:
im not a genius at math, but i will give it a shot
scenario 3:
let m= cost per minute for WDE, let b= flat fee for WDE
42.5=50m+b
65=100m+b
subtract the two equations
65-42.5=50m
m= .45 (this is the cost per minute on WDE wireless)
plug in m=.45 into the first equation
42.5=50(.45)+b
b= 20 (this is the fixed monthly fee for WDE wireless)
HTR offers .25 per minute, whereas WDE offers .45 a minute which means that HTR has the cheaper per minute rate
htr has the equation .25x+30
WDE has the equation .45x+30
set them equal to each other and solve for x .25x+30=.45x+20
x= 50 minutes
Scenario 4:
Same deal as last question, let m=cost/movie, b=flat fee
41.25=5m+b
57.5=10m+b
subtract the two equations and solve for m
57.5-41.25=10m-5m+b-b
m= 3.25 (slope)
b=25 (y intercept)
y=3.25x+25
y=3.25(125)+25 = 431.25
3.25x+25=2.75x+35
.5x= 10
x= 20
what is an complementary angle?
Step-by-step explanation:
Angles whose sum is 90° .
For ex - 30° and 60°
Answer/Step-by-step explanation:
Complementary angle is two angle that add up to 90 degree.
Complementary angle also put together form a right angle.
ex:
To determine the complement, subtract the given angle from 90. 90 - 43 = 47° The complement of 43° is 47°.
The lines represented by the equations 4y + 4x = 8 and y - x = -2 are
neither parallel nor perpendicular
the same line
perpendicular
parallel
Answer:
4 y = -4 x + 8 or y = -x + 2
y - x = -2 or y = x - 2
using the standard form for a line y = m x + b
We see that in one equation m = -1 and in the other m' = +1
this is the condition for perpendicular lines
explain the difference between an indefinite integral and a definite integral.
Answer:
A definite integral has limits of integration and the answer is a specific area. An indefinite integral returns a function of the independent variable(s).
Step-by-step explanation:
does the height of the shooter affect the number of goals scored in a netball match
What is an equation of the line that passes through the point (−8,−1) and is parallel to the line x-4y=4x
Answer:
y = -3/4x - 7
Step-by-step explanation:
Parallel lines have the same slope.
Solve for y in the equation to find the slope.
x - 4y = 4x
-4y = -x + 4x
-4y = 3x
y = 3/-4 x = -3/4x So the slope is -3/4 which is the coefficient of the
x term
Substitute the slope(m) = -3/4 and point (-8, -1) into y = mx + b to solve for "b"
y = mx + b
-1 = -3/4(-8) + b
-1 = 6 + b
-1 - 6 = b
-7 = b
The equation of the new line: y = mx + b
y = -3/4x - 7
9/12 as an equivelant fraction
Answer:
3/4
Step-by-step explanation:
9/12
Divide the top and bottom by 3
9/3 = 3
12/3 = 4
The fraction becomes 3/4
9 is multiplied by the cube of a number.
Answer:
81
Step-by-step explanation:
9×9=81
also known as 9²
A plane flies 510 kilometers with a bearing of 316° from Naples to Elgin (see figure). The plane then flies 720 kilometers from Elgin to Canton (Canton is due west of Naples). Find the bearing of the flight from Elgin to Canton. (Round to the nearest whole number.)
Answer:
#carryonlearning
Step-by-step explanation:
#carryonlearning
What is a fraction pair that is equivalent to 2/15 and 4/9, and in which both fractions have a
denominator that is the least common denominator of 2/15 and 4/9?
45
c-2115,419
Answer:
6/45 and 20/45
Step-by-step explanation:
The least common denominator is the least common multiple (LCM) of 9 and 15.
The factors of those numbers are ...
9 = 3·3
15 = 3·5
The LCM is the product of the unique factors to their highest powers:
3·3·5 = 45
__
To make 2/15 have a denominator of 45, we need to multiply by 3/3:
2/15·3/3 = 6/45
To make 4/9 have a denominator of 45, we need to multiply by 5/5:
4/9·5/5 = 20/45
The desired fraction pair is 6/45 and 20/45.
Two lines are
perpendicular if the
of their
А
and
Lline are also perpendicular.
If a line is perpendicular to one of the
two given parallel lines then it is also perpendicular to the other line.
As we know that by the theorem of perpendicular transversal theorem that in the plane, if a transverse is perpendicular to one or two parallel lines, then it is perpendicular to the third line. ... Since, they do not touch or interact with each other they are said to be parallel to each other.
Thnx for marking me as brainlistWhich relation is a function?]
NO LINKS
Answer:
first one
Step-by-step explanation:
use the vertical line test, and the first one is a quadratic function
Answer:
The first one.
Step-by-step explanation:
By using the vertical line test, you can see that the first one is the only relation that's input's go to only one output.
If £2000 is placed into a bank account that pays 3% compound interest per year,
how much will be in the account after 2 years?
What is the sum for:
(2x−6)+4(x−3)
Answer:
6x - 18
Step-by-step explanation:
2x - 6 + 4x - 12 = 6x - 18
First, distribute the 4 and then combine the like terms to get 6x - 18.
Answer:
x=-2
Step-by-step explanation: First we can multiply 4 times anything in the parenthesis to get rid of it.
(2x-6)+4(x-3)
(2x-6)+4x-12
Then we combine like terms.
(2x-6)+4x-12
6x-6-12
6x-18
Finally we divide both sides by 6.
6x-18
6x/6-18/6
x=-2
1/243 as an expression using a negative exponent other than -1
Answer: To get the expression with negative exponent, we need to convert the number 1024 in exponential form
Replace the denominator by 2^10
Now we apply exponential property
negative exponent other than -1 is
Help me out! Find the value of x angle theorems part 3 triangle
Answer:
x = 3
Step-by-step explanation:
The triangles are similar.
x + 9 is twice 2x.
x + 9 = 2(2x)
x + 9 = 4x
9 = 3x
x = 3
what is 122°F in °C?
a.1 °C
b.10 °C
c.100 °C
d.110 °C
Answer:
50° CStep-by-step explanation:
By the Formula :-= > (122°F − 32) × 5/9
= > 50°C...ans
Hope it Helps you!!The value of 122°F in °C is 50°C
Temperature
Temperature is the degree of hotness or coldness in a place. There are different temperature scales such as Celsius, Fahrenheit etc.
To convert from Fahrenheit to Celsius, use:
C = (F - 32) * 5/9
Given that F = 122, hence:
C = (122 - 32) * 5/9 = 50°
The value of 122°F in °C is 50°C
Find out more on Temperature at: https://brainly.com/question/18130122
write an equation of a line that passes through the point (5,-1) and is parallel to the line y = (-3/5)x -3
Answer:
y = -3/5x + 2
Step-by-step explanation:
-1 = -3/5(5) + b
-1 = -3 + b
2 = b
y = -3/5x + 2
Kerry scored a total of 205 points last season by making
a total of 120 baskets. Some of the baskets were 1-point
free throws (t), and the rest were 2-point field goals (g).
Which pair of equations models this situation?
A.) t+2g=205
t+g=120
B.)t+g=205
t+2g=120
C.)t+g=205
t+g=120
D.)t+2g=205
t+2g=120
Answer:
a
Step-by-step explanation:
Answer:
A.) t+2g=205
t+g=120
Step-by-step explanation:
We know that Kerry scored 205 points by making 120 basket.
t+g=120 { Because some of the basket were 1-point free
t+2g= 205 ( Throws (t) and the rest were 2-point field goals (g)
The average age of kishan and dolma is 15 years and that of dolma and shaswat is 14 years .If kishan is 17 years old ,find the age of dolma and shaswat.
Help me to find answer
Answer:
dolma is 13 and shaswat is 15
Step-by-step explanation:
lets say kishan is k, dolma is d, and shaswat is 14. (k+d)/2 is 15 so k+d=30. (d+s)/2=14 so d+s=28. since k=17, d=13 and s=15
i am stuck on this zearn lesson someone pls help
Answer:
2 or 2/1
Step-by-step explanation:
For every cup of water there is 1 cup of water. As seen in the ration 6:12 (reduced to 1:2) and 1/2:1 (increased to the whole number of 1:2)
Find the length of the missing side. Round your answer to the nearest tenth.
Answer:
≈ 31.7 yd
Step-by-step explanation:
let the missing side be x , then using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 9² = 33²
x² + 81 = 1089 ( subtract 81 from both sides )
x² = 1008 ( take square root of both sides )
x = [tex]\sqrt{1008}[/tex] ≈ 31.7 yd ( to the nearest tenth )
if x+y=5,and xy=10, find the value of x2+y2
Answer:
Step-by-step explanation:
x+y=10-----(1)
xy=5------(2)
dividing (1) by(2)... we get!
x/y+ y/x=10/5
=>2
we have :[tex]x^{2} +y^{2} = x^{2} +y^{2} + 2xy -2xy = (x+y)^{2} -2xy = 5^{2} -2.10 =25-20=5[/tex]
ok done. Thank to me :>
solve |8y+4|=2|y-1|
please show the work!
In the diagram, m
and Q is the center of the circle. Name two triangles that are congruent.
Answer:
Central Angle - an angle formed in the center of a circle by the meeting of two radii. Chord - a straight line connecting two points on an arc or circle.
8 pages
Step-by-step explanation:
In the diagram, m∠RQY = m∠WQT = 50° and Q is the center of the circle. Name two triangles that are congruent. answer choices. ∆RQY ≅ ∆YQW.
In the diagram, AB passes through the center C of the circle and DC⊥AB. Name two ... If two triangles are congruent, then their perimeters are the same.
3. A large tank is partially filled with a solution. The tank has a faucet that allows solution to enter the tank at a rate of liters per minute. The tank also has a drain that allows solution to leave the tank at a rate of liters per minute. (a) What expression represents the change in volume of solution in the tank in 1 minute?
(b) What is the change in volume of the solution after 15 seconds? Show necessary work.
(c) What does the change in volume after 15 seconds mean in the real world? Answer in complete sentences.
Answer:
-3 1/20
Step-by-step explanation:
-3 1/20 is the first answer
make v the subject of the formula t=4v+3
Step-by-step explanation:
t=4v+3
t-3=4v
(t-3)/4=v
hope this helps you.
Travis Scott sold 38 papers in 2 hours. At that rate, how many papers would he sell in 3 hours?
Answer:
none cuz Travis don't sell papers
Step-by-step explanation:
I'm kidding so 38 ÷ 2 = 19 so 38 + 19 or 19 × 3 = 57
