Using the z-distribution, as we have the standard deviation for the population, it is found that it does not appear that there is a difference.
What are the hypothesis tested?At the null hypothesis, it is tested that there is no difference, that is, the mean of the distribution of the differences is of 0, hence:
[tex]H_0: \mu = 0[/tex]
At the alternative hypothesis, it is tested if there is a difference, hence:
[tex]H_1: \mu \neq 0[/tex]
What is the test statistic?It is given by:
[tex]z = \frac{\overline{x} - \mu}{s}[/tex]
In which:
[tex]\overline{x}[/tex] is the mean of the distribution of differences.[tex]\mu = 0[/tex] is the value tested at the null hypothesis.s is the standard error.In this problem, the parameters are as follows: [tex]\mu = 1.11, s = 4.28[/tex].
Hence:
[tex]z = \frac{\overline{x} - \mu}{s}[/tex]
[tex]z = \frac{1.11 - 0}{4.28}[/tex]
[tex]z = 0.26[/tex]
What is the decision?Considering a two-tailed test, as we are testing if the mean is different of a value, with a standard significance level of 0.05, the critical value is of [tex]|z^{\ast}| = 1.96[/tex].
Since the absolute value of the test statistic is less than the critical value, we do not reject the null hypothesis, that is, it does not appear that there is a difference.
To learn more about the z-distribution, you can check https://brainly.com/question/26454209
What will be the total cost of Maria's ARM if the term of the loan were 25 or 20 years instead of 30? Use the variable rate loan calculator to find the answers. Write them in the spaces below.
Mortgage Term | Total Cost
25 years: |
20 years: |
Answer:
The total cost of the loan goes down as the term decreases. Although the amount of the loan itself remains the same, the total amount of interest Maria would have to pay in interest decreased when the term of the loan decreased. However, the monthly payments increased when the term decreased. So, a shorter term saves interest but requires greater monthly payments.
Step-by-step explanation:
5 red, 4 green, and 3 blue marbles. A bag contains 5 red, 4 green, and 3 blue marbles. What is the probability of randomly selecting a blue marble, replacing it in the bag, and then randomly selecting a red marble? StartFraction 1 over 48 EndFraction StartFraction 1 over 12 EndFraction StartFraction 5 over 48 EndFraction StartFraction 5 over 12 EndFraction
Answer:
[tex] \frac{1}{4} [/tex]
[tex] \frac{3}{12} [/tex]
25%
5/48 is your answer on edge 2020
write an inequality for the situation below: Bring at least $7.50 to see the play.
A rectangular pool is 6 feet long and 5 feet wide. It is filled to a depth of 2 Teet. A cubic footof water is about 7.5 gallons. If the pool can be filled at a rate of about 10 gallons per minute,now long will it take to fill the pool to a depth of 2 feet? Explain your reasoning.
*QUICK*
Answer:
450 minutes
Step-by-step explanation:
First, let's calculate the volume of the pool when filled. Volume will be: (length x width x height).
Volume = 6' x 5' x 2 ' = 60 ft^3
1 ft^3 of water occupies 7.5 gallons. That's a conversion factor for water: (7.5 gal)/(1 ft^3).
The total gallons of water in a filled pool would be:\
(60 ft^3)*((7.5 gal)/(1 ft^3)) = 4500 gallons
At a rate of 10 gallons/min, it would take:
(4500 gallons)/(10 gallons/min) = 450 minutes, or 450/60 = 7.5 hours
A projectile’s motion is modeled by the function given in the table, where x represents time in seconds and f(x) represents height above the ground. At what time is the projectile on the ground? – 80. 4 seconds 2 seconds 4. 6 seconds It will never hit the ground.
Answer: 2 seconds
Step-by-step explanation:
got it right
How many pennies are on the nth square? 2n 2n – 1 2n 1 2n – 1 2n 1
The number of pennies is on the [tex]\rm n^t^h[/tex]square is [tex]\rm 2^n^-^1[/tex].
I am assuming the:
1 penny = [tex]2^0[/tex]
2 pennies = [tex]2^1[/tex]
3 pennies = [tex]2^2[/tex]
and so on.
It is required to find how many pennies are on the [tex]\rm n^t^h[/tex] square.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have:
1 penny = [tex]2^0[/tex]
2 pennies = [tex]2^1[/tex]
3 pennies = [tex]2^2[/tex]
If we observe the pattern, we see it on the [tex]\rm n^t^h[/tex] square the number of pennies will be [tex]\rm 2^n^-^1[/tex]
[tex]\rm n^t^h= 2^n^-^1[/tex]
Thus, the number of pennies is on the [tex]\rm n^t^h[/tex]square is [tex]\rm 2^n^-^1[/tex].
Learn more about the sequence here:
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In the function f(x) = 3x + 2, f(5) = ________.
Answer:
17
Step-by-step explanation:
In this function, x = 5, so replace the x with 5 in the equation, multiply by 3, add 2, and 17 is the answer.
Answer:
[tex]f(x)=17[/tex]
Step-by-step explanation:
[tex]f\left(x\right)\:=\:3x\:+\:2;\:f\left(5\right)[/tex]
For f(x)=3x+2, substitute x with 5
[tex]f(x)=3(5)+2[/tex]
[tex]f(x)=17[/tex]
~
Mr. Hayden's Bible class collected $11
in coins for a needy family. They col-
lected twice as many quarters as dimes
and 12 more nickels than dimes. How
many of each coin did the class collect?
This is the only way I can think of this mathematically. This took a good 20 minutes for me. You need to guess and check. Like try 17 quarters, 50 nickels, and 37 dimes etc. until you get 11.00. My numbers are mathematically correct but we both know you cant have 18.909 quarters so. lol
Answer:
Quarters: 18.909
Nickels: 49.818
Dimes: 37.818
Somewhere around those numbers.
Step-by-step explanation:
$11.00 total in coins
Nickel = $0.05
Dime = $0.10
Quarter = $0.25
(n*0.05) + (d*0.10) + (q*0.25)
Solve the equation for q.
[tex]q=\frac{1}{2} d[/tex]
(n*0.05) + (d*0.10) +( [tex]\frac{1}{2} d[/tex] *0.25)
Simplify the expression.
9d + 2n = 440
d - n = -12
Multiply both sides of the equation by -9.
-9d + 9n = 108
9d + 2n = 440
Sum the equations vertically to eliminate at least one variable.
11n = 548
[tex]n=\frac{548}{11}[/tex]
Substitute the given value of n into the equation d - n = -12
[tex]d-\frac{548}{11} =-12[/tex]
[tex]d=\frac{416}{11}[/tex]
Substitute the given value of n into the equation [tex]q=\frac{1}{2} d[/tex]
[tex]q=\frac{1}{2} *\frac{416}{11}[/tex]
[tex]q=\frac{208}{11}[/tex]
Finally
[tex]d=\frac{416}{11}[/tex] d = 37.818
[tex]n=\frac{548}{11}[/tex] n = 49.818
[tex]q=\frac{208}{11}[/tex] q = 18.909
Solve the system of equations using subtraction.
2x−4y=−4
2x+ y =11
Answer:
(4, 3 )
Step-by-step explanation:
2x - 4y = - 4 → (1)
2x + y = 11 → (2)
subtract (2) from (1) term by term to eliminate x
(2x - 2x) + (- 4y - y) = - 4 - 11
0 - 5y = - 15
- 5y = - 15 ( divide both sides by - 5 )
y = 3
substitute y = 3 into either of the 2 equations and solve for x
substituting into (2)
2x + 3 = 11 ( subtract 3 from both sides )
2x = 8 ( divide both sides by 2 )
x = 4
solution is (4, 3 )
Hurry please!
What is the slope of a line parallel to the line whose equation is x + 2y = -14.
Fully simplify your answer.
Answer:
Slope of the line x +2y =14 will be -1/2 since y = -1/2x+7, where m = -1/2 and c = 7.
Step-by-step explanation:
Answer:
2 Answers By Expert Tutors. Slope of the line x + 2y = 14 will be -1/2 since y = -1/2x+7, where m = -1/2 and c = 7. Now, the slope of the line perpendicular to this equation will be m_1 = -1/m = -1/ (-1/2) = 2.
Step-by-step explanation:
A restaurant owner wants to survey customers to determine their favorite brand of ketchup. Which would provide the best sample?
A) Ask 20 customers chosen at random each day for a week
B) Ask the first 50 customers who come in to the restaurant on Saturday
C) Ask her 10 best customers
D) Ask all the people who live within a block of the restaurant
Help please I don't know
Alright let's do this...
1. Five is less than a number and one = C.
2. Three times a number and five = F.
3. Five less than the sum of a number and two = B.
4. Two less than a number times two = A.
I need help ASAP to find the solution
Answer:
(1,-1)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
help me as soon as possible due in 20 minutes
linear equations and inequalities
Answer: the question wasn't clear hence just defined the meaning to it
Step-by-step explanation:
A linear inequality resembles in form an equation, but with the equal sign replaced by an inequality symbol. The solution of a linear inequality is generally a range of values, rather than one specific value. Such inequalities arise naturally in problems involving words such as 'at least' or 'at most'.
Type the correct answer in each box. Use numerals instead of words.
Amanda is placing an order for running shoes and leather boots for her footwear b
many pairs of running shoes as leather boots.
Set up the squations that can be used to find the number of each type of shoe
• the equation that represents the total number of pairs of shoes be referre
. Let constraint 2 refer to the equation that describes the ratio of the number of
Only constraint
would be met if 18 pairs of leather boots and 36 pairs of run
Only constraint
would be met if 12 nairo
Answer:
see below
Step-by-step explanation:
Type the correct answer in each box. Use numerals instead of words.
Amanda is placing an order for running shoes and leather boots for her footwear b
many pairs of running shoes as leather boots.
Set up the squations that can be used to find the number of each type of shoe
• the equation that represents the total number of pairs of shoes be referre
. Let constraint 2 refer to the equation that describes the ratio of the number of
Only constraint
would be met if 18 pairs of leather boots and 36 pairs of run
Only constraint
would be met if 12 nairo
Using a ruler and a compass, construct the triangle FGH with FG = 7.5cm, angle FGH = 120° and angle GFH = 30°
Answer:
(1, –1), (4, –16), (5, –25) i think
Step-by-step explanation:
please answer quickly
Answer:
Given,
Area of the Square = ( x² - 10x + 25 ) m²
We have to find: Length of the side of the square.
Let s be the side of square.
We find length of side of the by using factorization.
According to the question,
s² = x² - 10x + 25
s² = x² - 5x - 5x + 25
s² = x( x - 5 ) - 5( x - 5 )
s² = ( x - 5 )( x - 5 )
s² = ( x - 5 )²
Taking square root on both sides we get,
s = x - 5
Therefore, Expression that represents the length of one side of the square is x - 5.
Step-by-step explanation:
100 points for correct awnser
Answer:
the parallel line is y = 8x + 6
Step-by-step explanation:
so to solve for a parallel line we already know that the slopes are the same. so rn we can write:
y = 8x + b
but since we do not know the y-intercept we can use the points given to find it
we substitute them
-2 = 8(-1) + b
-2 = -8 + b
b = 6
the parallel line is y = 8x + 6
heres a pic if you dont believe me
Slope=m=8
Parallel lines hAve equal slope
Passes through (-1,-2)Equation in point slope form
[tex]\\ \tt\Rrightarrow y+2=8(x+1)[/tex]
[tex]\\ \tt\Rrightarrow y+2=8x+8[/tex]
[tex]\\ \tt\Rrightarrow y=8x+6[/tex]
Dalton and Connor each invest money. The function f(x) = 850(1.07)x models the value of Dalton’s account after x years. The function g(x) = 844(1.06)x models the value of Connor’s account after x years. What is the difference between the percentage points of the two annual interest rates?
A. 7%
B. 1%
C. 6%
D. 4%
2 2/3 x64 come on i give you lot of points
Answer:
170 2/3
Step-by-step explanation:
2 2/3 x 64 is the same thing as:
[tex]\frac{8}{3}[/tex] × [tex]\frac{64}{1}[/tex] = ?
Multiply across.
8 x 64 = 512
3 x 1 = 3
Simplify the fraction.
512/3 = 170 2/3
You will purchase some CDs and DVDs. If you purchase 9 CDs and 8 DVDs, it will cost you $95.35, if you purchase 8 CDs and 9 DVDs, it will cost you $101.00. Write and solve a system of equations to answer the following questions.
Each CD costs ____ and each DVD costs____
Answer:
Dvd= $8.6
Cd= $2.95
Step-by-step explanation:
Paul’s dad is putting up a fence in part of the backyard. The length of the fence will be 20 feet and the width will be 15 feet. What is the perimeter of the fence?
35 ft
70 ft
68 ft
300 ft
Answer:
70 ft
step-by-step explanation:
perimeter of rectangle = 2 ( length + width )
2(20+15)
2(35)
70
Answer:
Paul’s dad is putting up a fence in part of the backyard. The length of the fence will be 20 feet and the width will be 15 feet. What is the perimeter of the feet-----------------------------------------------------------
answer - ----
length = 20
width = 15
perimeter of rectangle is 2 (l+b)
2( 20 + 15 )
= 70 feet answer
need help Asapppp please i can’t figure it out or find answers. i will mark as the brainliest please
Answer:
sorry this is wrong. the wright answer is y = -4x+3
Step-by-step explanation:
A point on the unit circle has negative x value and a positive y value, select all the possible reference angles it
could come from.
.60
.300
.135
.225
.270
.150
Considering the points on the unit circle, it is found that the angle is on the second quadrant, hence the possible angles are between 90º and 180º.
What is the unit circle?For an angle [tex]\theta[/tex] the unit circle is a circle with radius 1 containing the following set of points: [tex](\cos{\theta}, \sin{\theta})[/tex].
In this problem, we have a negative cosine and a positive sine, hence it is an angle on the second quadrant, which can be values between 90º and 180º.
More can be learned about the unit circle at https://brainly.com/question/16852127
Beverly has a bag of marbles that weighs 30 grams. She knows that each marble weighs 1.5 grams and the bag weighs 1.5 grams.
Which equation could she use to determine how many marbles are in the bag? Select all that apply.
(1.5)x + 1.5 = 30
30 – x = 2(1.5)
(1.5)(30) = 1.5x
1.5 + x = 30
1.5x = 30 – 1.5
This is slope
Weight of bag(fixed)=1.5The equation is
[tex]\\ \tt\Rrightarrow 1.5x+1.5=30[/tex]
Let's find out
[tex]\\ \tt\Rrightarrow 1.5x=28.5[/tex]
[tex]\\ \tt\Rrightarrow x=19[/tex]
19 marbles
The cost of a jacket increased from $85.00 to $102.00. What is the percentage increase of the cost of the jacket?
A. 17%
B. 2%
C. 80%
D. 20%
Subtract to find the amount of the increase:
102-85 = 17
Divide the amount of the difference by the original price:
17/85 = 0.2
Multiply by 100 to get the percent:
0.2 x 109 = 20 %
Answer: 20%
What is the equation of the circle?
Center (5,-14)
Radius 5
A. (x – 5)2 + (-14)2 = 5
B.(x - 5)2+(y + 14)2 – 25
C. (x - 5)2 + ( + 14)2 = 5
D. (x – 14)2 + ( + 5)2 = 28
E. (x + 14)2 + (x – 5)2 = 25
Answer:
b is the answer
[tex](x - 5) {}^{2} + (y + 14) {}^{2} = 25[/tex]
Solve for the value of r.
(6r-7)
55°
Answer:
r=7
Step-by-step explanation:
6r-7+90+55=180
6r+138=180 ----- 6r=180-138
6r=42 ----- divide both sides by 6
r=7
(We get the 90 from the 90degrees in the middle of this supplementary angle and the total, 180, from the straight angle made from all three angles.)
hope this helps!
factor the polynomial below completely
**21* 3x+6
O A. (X+3)(x+3)
O B. (X2 + 2)(x+3)
O c. (+2)(x+2)
O D. (x2+3)(x + 2)