Answer:
We reject H₀ . We support the feeling of people from a government agency
Step-by-step explanation:
Population information:
Population mean μ = 24 ou
Sample information:
Sample size n = 50 then degree of fredom df = n - 1 = 49
Sample mean x = 23,7
Sample standard deviation s = 0,8
Hypothesis Test:
Null Hypothesis H₀ x = μ
Alternative hypothesis Hₐ x < μ
Significance level α = 0,01
We can conclude from the alternative hypothesis that we should develop a one tail-test ( to the left " if a local brewery is cheating its customers that mean, they are selling less beer than they are supposed to)
With α = 0,01 and df = 49 we get from t-student table t(c) = - 2,4
To calculate t(s)
t(s) = ( x - μ ) / s/√n
t(s) = ( 23,7 - 24 ) / 0,8/√50
t(s) = - 0,3* 7,07 / 0,8
t(s) = - 2,12 / 0,8
t(s) = - 2,65
Comparing t(c) and t(s)
|t(c)| < |t(s)|
2,4 < 2,65
Then t(s) is in the rejection region we reject H₀ , and agree with a government agency in the fact that at 99 % of confidence interval shows that local brewery is cheating customers
A rectangle has a perimeter of 42 ft its length, L, is 3 feet more than twice its width, W.
(c) Solve the system of equations that you just created by substitution to find the values of the length and width.
Answer:
Length of rectangle = 15 feet
Width of rectangle = 6 feet
Step-by-step explanation:
Given:
Perimeter of rectangle = 42 ft
Length of rectangle = 2[Width of rectangle] + 3
Find:
Value of length and width
Assume:
Width of rectangle = w
SO,
Length of rectangle = 2[w] + 3
Perimeter of rectangle = 2[l + b]
42 = 2[2w + 3 + w]
2[3w + 3] = 42
6w + 6 = 42
6w = 42 - 6
6w = 36
w = 36 / 6
w = 6
So,
Width of rectangle = 6 feet
Length of rectangle = 2[w] + 3
Length of rectangle = 2[6] + 3
Length of rectangle = 12 + 3
Length of rectangle = 15 feet
which is the largest interval over which the function shown in the table is increasing?
x y=-- x2 ?
-4
-8
-
-2
-2
(x, y)
(-4,-8)
(-2,-2)
(0,0)
(2.-2)
(4.-8)
0
NO
-2
4
-8
O
A. x < -2
O B. x<0
C. X>0
D. X> 2
Answer:
x < 0
Step-by-step explanation:
If you were to graph the function, you would get a parabola that opens down with the vertex at (0, 0). So, the graph is increasing from -∞ to 0.
179=-9x+8
How do I break it down to slove this problem
Answer:
x = -19
Step-by-step explanation:
first isolate x by subtracting 8 on both sides:
179 = -9x + 8
-8 -8
=> 171 = -9x
then divide -9 on both sides to solve for x:
=> x = 171 ÷ -9 = -19
hope it helps ;)
A chi-square test was conducted to investigate whether there is an association between a person's favorite flavor of ice cream and their favorite toppings. Each of 200 randomly selected customers at an ice cream parlor was asked to pick their favorite flavor from vanilla, chocolate, chocolate chip, or none of these. They were also asked to pick their favorite topping from chocolate sauce, peanuts, crumbled cookies, crushed candies, or none of these. The hypothesis test had a test statistic of 24.97 with an associated p-value of 0.015. If the significance level of the test was a = 0.05, which of the following is the correct decision for this hypothesis test?
A. There is not convincing statistical evidence to suggest an association between favorite ice cream flavor and favorite topping.
B. There is convincing statistical evidence to suggest an association between favorite ice cream flavor and favorite topping.
C. There is convincing statistical evidence to suggest there is not an association between favorite ice cream flavor and favorite topping.
D. There is proof that a person's favorite ice cream topping is dependent on the person's favorite ice cream flavor.
E. There is proof that a person's favorite ice cream topping is independent of the person's favorite ice cream flavor.
Answer:
B
Step-by-step explanation:
I hope it is correct :)
Answer:
The answer is definitely B
Step-by-step explanation:
I just did this question on my test.
Which function defines (g•f)?
f(x)= log(5x)
g(x) = 5x + 4
A. (g•f)(x)= 5x log(5x) + 4log(5x)
B. (g•f)(x) = 5x + 4 + log(5x)
C. (g•f)(x) = 5x – 4 – log(5x)
D. (g•f)(x) = 5x log(5x) + 4
Answer:
A
Step-by-step explanation:
A. (g•f)(x)= log(5x) ( 5x + 4)=5x log(5x) + 4log(5x)
The function 5x log(5x) + 4log(5x) defines (g•f)
We have given that,
A. (g•f)(x)= 5x log(5x) + 4log(5x)
B. (g•f)(x) = 5x + 4 + log(5x)
C. (g•f)(x) = 5x – 4 – log(5x)
D. (g•f)(x) = 5x log(5x) + 4
We have to determine which function defines (g•f)
Where f(x)=log(5x) and g(x)=5x+5
What is the multiplication function?
A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function. Functions were originally the idealization of how a varying quantity depends on another quantity.
A. (g•f)(x)= log(5x) ( 5x + 4)=5x log(5x) + 4log(5x)
(5x+4)(log(5x))=5x(log(5x))+4(log(5x))
Therefore the option A is correct.
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Is this correct? Pls help me
Answer:
Im pretty sure you are correct
Step-by-step explanation:
Belive in urself m8
Answer:
no I don't think this is correct
Step-by-step explanation:
(no btw)
What is the period of this function
Answer:
B
Step-by-step explanation:
Period equals pi/2
evaluate 3 + jk + k ^3 when j = 2 and k = 6
1/2 minus 2/3
I have trouble with fractions
Answer:
-1/6
Step-by-step explanation:
Hope this helps down below! Pls mark brainliest
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(12×33)−(23×22)=?
Complete the multiplication and the equation becomes
36−46=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
3−46=−16
This fraction cannot be reduced.
Therefore:
12−23=−16
Solution by Formulas
Apply the fractions formula for subtraction, to
12−23
and solve
(1×3)−(2×2)2×3
=3−46
=−16
Therefore:
12−23=−16
The first step in determining the solution to the system of equations, y = –x2 – 4x – 3 and y = 2x + 5, algebraically is to set the two equations equal as –x2 – 4x – 3 = 2x + 5. What is the next step?
Set y = 0 in y = –x2 – 4x – 3.
Factor each side of the equation.
Use substitution to create a one-variable equation.
Combine like terms onto one side of the equation.
Answer:
Last one. Combine like terms onto side of the equation.
Step-by-step explanation:
The first step in determining the solution to the system of equations, [tex]y = -x^2 - 4x - 3[/tex] and [tex]y = 2x + 5[/tex] , algebraically is to set the two equations equal as [tex](-x^2 - 4x - 3) = 2x + 5[/tex], will be to set the equations equal to each other.
What is system of equations ?System of equations comprises of two or more equations of two or more variables and seeks common solutions to the equations.
We have,
[tex]y = -x^2 - 4x - 3[/tex]
[tex]y = 2x + 5[/tex]
So, to determine solution to these System of equations,
We have to
Set the equations equal to each other and solve for the value of [tex]x[/tex],
i.e.
[tex]-x^2 - 4x - 3=2x+5[/tex]
[tex]-x^2-6x-8=0[/tex]
[tex]x^2+6x+8=0[/tex]
[tex]x^2+4x+2x+8=0[/tex]
[tex]x(x+4)+2(x+4)=0[/tex]
[tex](x+2)(x+4)=0[/tex]
⇒ [tex]x+2=0[/tex]
[tex]x=-2[/tex]
[tex]x+4=0[/tex]
[tex]x=-4[/tex]
So, from the above solution we came to know that the first step in determining the solution to the given System of equations is to set the equations equal to each other.
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What is the value of logg 8?
Answer:
The value of log 8 is 0.9030
Step-by-step explanation:
To find:
Value of log 8
Solution:
Let we take,
x=log8
x=log (2)^3
x=3log2
x=3*0.3010
x=0.9030
Hence, the value of log 8 is 0.90.
Question 7 (3 points)
Cris borrowed $10,000 at an interest rate of 6% compounded daily. What is her approximate balance at the end of 4 years?
A $14,100
B $14,400
C $11,800
D $13,500
E $12,700
What's the distance between (4,-2) and (4,3)
Answer:
5 units
Step-by-step explanation:
(4, -2 ) ; [tex]x_{1}=4[/tex] and [tex]y_{1} = -2[/tex]
(4 , 3) ; [tex]x_{2} = 4[/tex] and [tex]y_{2}=3[/tex]
distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\[/tex]
[tex]= \sqrt{(4-4)^{2}+(3-[-2])^{2}}\\\\= \sqrt{0+(3+2)^{2}} \\\\=\sqrt{5^{2}}\\\\= 5 units[/tex]
HELP ME WITH 6-10 PLS
6. = 0.0000004834
7. = 0.0000506
8. = 0.00098
9. = 64580000
10. = 1398600000
23 Points | Brainliest | Pre Calc Question | Thanks so much ahead of time.
Find the sum of the first 12 terms of the sequence. Show all work for full credit.
1, -4, -9, -14, . . . (2 points)
Answer:
1, -4, -9, -14, -19, -24, -29, -34, -39, -44, -49, -54 = -318
Step-by-step explanation:
Answer:
The Answer is -318.
Step-by-step explanation:
1 + (-4) + (-9) + (-14) + (-19) + (-24) + (-29) + (-34) + (-39) + (-44) + (-49) + (-54)
What is the unit price of a granola bar if 8 granola bars cost $4.16
Answer:
divide 8 by 4.16
Step-by-step explanation:
Answer:
52 cents
Step-by-step explanation:
PLEASEEEEE HELPPPPP!!!!!!
Answer:
RS=5.65
Step-by-step explanation:
Please gimme few minutes
what is a square unit
Answer:
A square unit is a small area of a square used to find a total.
Step-by-step explanation:
Larson uses his credit card to purchase a new video game system for $519.82. He can pay off up to $225 per month. The card has an annual rate of 15.4% compounded monthly. How much total interest will he pay?
which equations are equivalent of requirements -1/4(x)+3/4=12? select all that apply.
the answer: B,C,E (for people who don’t have brainly plus) <3
you can use this to get points if you’d like
help me find the answers please
Answer:
x = 6.25
Step-by-step explanation:
Suppose y = 2x - 2.5. Find x when y = 10
this gives us the equation:
10 = 2x - 2.5
add 2.5 to both sides
2x = 12.5
divide both sides by 2
x = 6.25
Please LMK if you have questions.
Maria randomly selects a number from the list of numbers below.
56, 90, 88, 76, 12
What is the probability that she selects an even number?
Answer:
1:1 or 100% i don't know which you need
Step-by-step explanation:
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest meter, how many meters are in 318 inches? Enter the answer in the box.
what is the range of the following data set?
Answer: The range of a set of data is the difference between the highest and lowest values in the set. To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.
Leanna opens a savings account with an initial balance of $100. She then deposits $50 each month. Use an equation, a table, and a graph to explain the relationship between the amount of money in the account, a, and the number of months since Leanna opened the account, m.
Part A Write an equation to represent the problem. Explain how the value of a changes as m increases.
Part B Make a table to show the relationship between m and a. Find 5 ordered pairs.
Part C Use your table from Part B to draw a graph to represent the situation.
Please answer all questions
See the attached picture:
Write the equation of the graph.
Answer:
it is the bottom answer or if it was labeled it would be D.
A student purchased 9 binders for $11.07.
Solve the equation to determine the cost, in dollars, for each binder.
$
Answer:
$1.23
Step-by-step explanation:
9 binders for 11.07, where x = num of binders
9x = 11.07 [Divide both sides by 9]
x = $1.23
Answer:
each binder costs $1.23
Step-by-step explanation:
$11.07 divided by 9 equals $1.23
Simplify: (3^5)^2 / 3^-2
A) 3^10
B) 3^9
C) 3^12
D) 3^8
Answer:
3^12
Step-by-step explanation:
(3^5)^2 / 3 − ^2 = 243^2/3−^2 = 59049 / 3−^2 = 59049/ 1 / 9 = 531441
= 3*3*3*3*3*3*3*3*3*3*3*3 = 3^12
please help i am giving away brainliest
A swimming pool in the shape of a cylinder with a diameter of 10 m and a depth of 3 m is being filled with water. 27,535 L have been added so far. 1 m3 is equal to 1000 L. To the nearest liter, how much more water can the pool hold?
A. 236,000 L
B. 208,084 L
C. 236,616 L
D. 207,314 L
No dam links
Answer:
207,314
Step-by-step explanation:
V = πr2h =π · 52·3 ≈ 235.61945 m^3
because 1m^3 = 1000 L, (27,535 / 1000) = the amount of added water in m^3. As this is equal to 27.535, we can substract this from 235.62.
235.62 - 27.535 is about 208.085, or 207.314 because of rounding. As this is in m^3, we multiply by liters to arrive at the answer of 207,314, or option D.
Side A=3 cm
Side B=?
Side C( Hypotenuse)=6 cm
Find missing side of right triagle using Pythagorean Theorem
a
3 cm
3 square root (5) cm
3square root (3) cm
6 cm
Answer:
3sqrt3 cm
Step-by-step explanation:
6^2-3^2
36-9=27
sqrt27 = 3sqrt3
Answer:
c. 3 square root ( 3 ) cm
Step-by-step explanation:
C^2 = A^2 + B^2
A^2 = C^2 - B^2
= 6^2 - 3^2
= 36 - 9
A^2 = 27
A = 3√3 cm