Answer:
im pretty sure its 0.36
Step-by-step explanation:
The unit rate or cost of one ounce of the drink is $0.36.
Given that:
A 6-ounce drink costs $2.16.
It is required to find the unit rate.
Now, the unit rate can be defined as the quantity of something with respect to another quantity.
Here, the unit rate is the cost of the drink per ounce of the drink.
Cost of 6-ounce drink = $2.16
Let the cost of one ounce drink = x
Here, the proportional concept can be used.
6 / 2.16 = 1 / x
Cross multiply.
6x = 2.16
Divide both sides by 6.
x = 0.36
Hence the unit cost is $0.36.
Learn more about Unit Rate here :
https://brainly.com/question/29180656
#SPJ2
Nine voltage measurements in a circuit have produced the following values: 12.09, 12.05, 11.94, 11.99, 12.12, 12.05, 12.02, 11.95, 12.14. If the standard deviation for the above data set is 0.07V, determine whether any values can be rejected. (5 Points)
Answer:
we can not reject any value
Step-by-step explanation: From data we can test the highest and the lowest value to evaluate if one of these values are out of certain confidence Interval
If we established CI = 95 % then α = 5 % and α/2 = 0,025
From data we find the mean of the values
μ₀ = 12,03 and σ = 0,07
From z table we find z score for 0,025 is z(c) = ± 1,96
So limits of our CI are:
12,03 + 1,96 = 13,99
12,03 - 1,96 = 10,07
And all our values are within ( 10,07 , 13,99)
So we can not reject any value
Amy had a $10 monthly fee for music streaming due when she received her paycheck. After paying for the music streaming service, she had $65 remaining from her paycheck. Write and then evaluate a subtraction expression to determine the original value of Amy's paycheck
Answer:
10+65=75 75-10=65
A subtraction expression to determine the original value of Amy's paycheck is x-10=65.
Given that, Amy had a $10 monthly fee for music streaming due when she received her paycheck.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the original value of Amy's paycheck be x
According to the question, x-10=65
⇒ x=$75
Therefore, a subtraction expression to determine the original value of Amy's paycheck is x-10=65.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
A function is represented by the graph.
Complete the statement by selecting from the drop-down menu.
The y-intercept of the function y=3x+2 is
Choose... (less than, Greater than, Equal to)
the y-intercept of the function represented in the graph.
Answer:
it is equal to
Step-by-step explanation:
took test
Answer:
equal to
Step-by-step explanation:
Which operation should be done first in the
expression below?
(2 + 2) * 3 - 1-4
Answer:
7
Step-by-step explanation:
PEMDAS
First we do the parenthesis, then we multiply and then we subtract (left to right)
= (2+2) * 3 - 1 - 4
= 4 * 3 - 1 -4
= 12 - 1 -4
= 12
What is the domain of the graph?
Answer:
domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis
Hope this helps you!
Write an expression that represents the area of
the figure in square centimeters.
HELP ASAP
Answer:
its either 98 cm or 28 cm
Step-by-step explanation:
7 x 7 = 49 x 2 = 98 cm
14 x 2 = 28
I don’t understand please help
Look at points C and D on the graph: HOW U PUT A PHOTO :=)
A coordinate plane graph is shown. Point C is at 1 comma 3. Point D is at 4 comma negative 3. A segment connects the two points.
What is the distance (in units) between points C and D? Round your answer to the nearest hundredth.
1. 3.01 units.
2. 5.20 units.
3. 6.50 units.
4. 6.71 units.
Answer:
6.71
Step-by-step explanation:
If you want to put picture i would recommend using your phone to do it. :]
Answer: its 6.71
Step-by-step explanation:
In which quadrant is x positive and y negative?
Help please math people
Answer:
-12.50x+350<210
Step-by-step explanation:
Assuming normality, construct the requested confidence interval.
A sociologist is interested in the age at which a mother has her first child. A random sample of 20 recent births yielded an average maternal age to be 30 years with a standard deviation of 6.2 years.
Construct a 99% confidence interval for the mean age at which a mother has her first child.
Can I have some help with solving this problem with a TI84 calculator?
Answer:
The appropriate response is "(26.03, 33.97)".
Step-by-step explanation:
The given values are:
Average maternal age,
[tex]\bar{x} = 30[/tex]
Standard deviation,
s = 6.2
Random sample,
n = 20
Now,
The degree of freedom will be:
⇒ [tex]df=n-1[/tex]
[tex]=20-1[/tex]
[tex]=19[/tex]
"t" at confidence level 99%, will be:
⇒ [tex]\alpha=1-99 \ percent[/tex]
[tex]=1-0.99[/tex]
[tex]=0.01[/tex]
⇒ [tex]\frac{\alpha}{2}=\frac{0.01}{2}[/tex]
[tex]=0.005[/tex]
⇒ [tex]t\frac{\alpha}{2} \ df=t \ 0.005,19[/tex]
By using the student table, we get
[tex]=2.86 1[/tex]
The margin of error will be:
⇒ [tex]E=\frac{t \alpha}{2,df\times (\frac{s}{\sqrt{n}})}[/tex]
On substituting the estimated values, we get
⇒ [tex]=2.861\times (\frac{6.2}{\sqrt{20}})[/tex]
⇒ [tex]=3.97[/tex]
At 99%, the confidence level will be:
⇒ [tex]\bar{x}-E< \mu <\bar{x}+E[/tex]
⇒ [tex]30-3.97< \mu < 30+3.97[/tex]
⇒ [tex](26.03,33.97)[/tex]
Thus the above is the correct approach.
How many even numbers are between 1 and 30. My head hurts thanks
Answer:
15
Step-by-step explanation:
2
4
6
8
10
there are 5 between 1-10
so 3*5=15 between 1-30
Answer:
15
Step-by-step explanation:
my head hurts too
(16) In 2008, the number tourists visiting France was 7.94 x 1017. The
number of tourists visiting Italy was 4.27 x 10^7. Find the difference in the
number of visitors
Answer:
3.67 × 10^7Step-by-step explanation:
Number of tourists visiting France = 7.94 × 10^7Number of tourists visiting Italy = 4.27 × 10^7The difference:
7.94 × 10^7 - 4.27 × 10^7 =(7.94 - 4.27) × 10^7 =3.67 × 10^7 more visitors in FranceIf you are buying at item at a store for a price of $72, and there is a 6.2% tax added on top, what would be the total amount due at the register, to the nearest cent?
Answer:
Sale Tax($): 4.5
Step-by-step explanation:
Before Tax Price ($): 72
Tax Rate (%): 6.2
Final Price Including Tax ($): 76.46
Sale Tax($): 4.46
Answer:
76.46
Step-by-step explanation:
Solve 4x+34 help please
9514 1404 393
Answer:
78
Step-by-step explanation:
The base (JL) is twice the length of the midline (MN), so you have ...
4x +34 = 2(5x -16)
4x +34 = 10x -32 . . . eliminate parentheses
66 = 6x . . . . . . . . add 32-4x
11 = x
Then the length of JL is ...
4(11) +34 = 78
How large a sample is needed if we wish to be 96% confident that our sample proportion in Exercise 9.53 will be within 0.02 of the true fraction of the voting population?
A. A random sample of 200 voters in a town is selected, and 114 are found to support an annexation suit. Find the 96% confidence interval for the fraction of the voting population favoring the suit.
B. What can we assert with 96% confidence about the possible size of our error if we estimate the fraction of voters favoring the annexation suit to be 0.57?
Complete Question
How large a sample is needed if we wish to be 96% confident that our sample proportion in Exercise 9.53 will be within 0.02 of the true fraction of the voting population?
Exercise 9.53
A. A random sample of 200 voters in a town is selected, and 114 are found to support an annexation suit. Find the 96% confidence interval for the fraction of the voting population favoring the suit.
B. What can we assert with 96% confidence about the possible size of our error if we estimate the fraction of voters favoring the annexation suit to be 0.57?
Answer:
The First question
[tex] n = 1879 [/tex]
A
The 96% confidence interval is
[tex]0.51 < p < 0.63 [/tex]
B
The possible size of our error if we estimate the fraction of voters favoring the annexation suit to be 0.57 is
[tex]E = 0.06 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 0.02[/tex]
The sample size is n = 200
The number that supported the annexation suit is k = 114
Considering the first question
Generally our sample in Exercise 9.53 is [tex]\^ p = 0.57[/tex]
From the question we are told the confidence level is 96% , hence the level of significance is
[tex]\alpha = (100 - 96 ) \%[/tex]
=> [tex]\alpha = 0.04[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.751 [/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{1.751}{0.02 } ]^2 * \^ p (1 - \^ p ) [/tex]
=> [tex]n = [\frac{1.751}{0.02 } ]^2 * 0.57 (1 -0.57 ) [/tex]
=> [tex] n = 1879 [/tex]
Considering question B
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]
=> [tex]E = 1.751 * \sqrt{\frac{ 0.57 (1- 0.57 )}{200} } [/tex]
=> [tex]E = 0.06 [/tex]
Considering question A
Generally the sample proportion of the number that supported the annexation suit is mathematically represented as
[tex]\^ p = \frac{114}{200}[/tex]
=> [tex]\^ p = 0.57[/tex]
Generally 96% confidence interval is mathematically represented as
[tex]\^ p -E < p < \^ p +E[/tex]
=> [tex]0.57 - 0.06 < p < 0.57 + 0.06 [/tex]
=> [tex]0.51 < p < 0.63 [/tex]
If i=sqr-1, what is the value of i^3?
-1
i
1
-i
Answer:
After solving we get [tex]\mathbf{i^3=-i}[/tex]
Option D is correct.
Step-by-step explanation:
We are given:
If [tex]i=\sqrt{-1}[/tex] we need to find the value of [tex]i^3[/tex]
Solving:
[tex]i=\sqrt{-1}[/tex]
Taking cube on both sides
[tex]i^3=(\sqrt{-1})^3\\[/tex]
We can write [tex]a^3= a^2.a^1[/tex] Using this for solving:
[tex]i^3=(\sqrt{-1})^2.(\sqrt{-1})\\We \ know \ (\sqrt{-1})^2 =- 1 \ and \ \sqrt{-1}=1 \\i^3=-1(i)\\i^3=-i[/tex]
So, after solving we get [tex]\mathbf{i^3=-i}[/tex]
Option D is correct.
Find the Missing Lengths is the sides.
Answer:
b
Step-by-step explanation:
which of the following is an equivalent rate to running 5.4 miles in 43.2 minutes?
Answer:
3 miles in 24 minutes
Step-by-step explanation:
PLEASE HELP!!! TIMED TEST!
Which pair of angles must be supplementary?
1 and 6
2 and 5
5 and 4
6 and 2
Answer:
ok supplementary angles are two angles when they add up upto 180 degree so angle 2 and 5 make 180 degree .
Use the order of operations to simplify the following expression.
16+(14-6)x3-62-6
O 18
O None of the other answers are correct
O 78
0 34
O 12
Hattie is making fruit baskets, which include apples and bananas, to send to some of her real estate clients. She wants each basket to have at least 12 pieces of fruit, but the fruit should weigh no more than 80 ounces total. On average, each apple weighs 5 ounces, and each banana weighs 7 ounces.
Which system of inequalities can be used to determine the number of apples, x, and bananas, y, that Hattie should include in each basket?
Answer:
10 apples and 4 bananas
Step-by-step explanation:
x + y> 12. 5 x + 7y <80
Answer:
Step-by-step explanation:
Divide.
8.43) 12.645
The quotient is
Answer:
1.5 or 3/2
Step-by-step explanation:
The division results the quotient is 1.5
What is Division?The division is one of the four basic mathematical operations, the other three being addition, subtraction, and multiplication. In simple words, division can be defined as the splitting of a large group into smaller groups such that every group will have an equal number of items.
Given:
We have to divide 12.645 by 8.43
So, 12.645/8.43
= 12645/ 8430
= 8430 | 12645 | 1 . 5
8430
-______
42150
42150
_______
0
Hence, the quotient is 1.5.
Learn more about division here:
https://brainly.com/question/21416852
#SPJ5
Martina spent $24 on fruit at the grocery store. She spent a total of $80 at the store. What percentage of the total did she spend on fruit?
Answer: 30%
Step-by-step explanation:
She spent $24 dollars out of the total money she had which was $80. The 24 represents the portion of the money that was spent on fruits. So therefore to find the percentage for put the portion used ($24) divided by the the total ($80) multiplied by a hundred to get the 30%.
what is the product for 1.2×3.5 what is the product of 1.2 times 3.5
The answer to this problem is .
6th grade math proportionally
Answer:
9.
Step-by-step explanation:
What is the 15th term of the sequence an =
-3n+50
D. 95
Answer:
= 105
Step-by-step explanation:
Answer:
here ya go
Step-by-step explanation:
a
9
=
105 I think
If anyone understands can you please help me✨♀️
happy holidays! please help me, it's algebra 2!
Answer:
Answer Choice B
Step-by-step explanation:
f(x) is just another way of saying y=.
To inverse, just flip the x & y and isolate the y variable.
[tex]x=-y^3-9\\x+9=-y^3\\-x-9=y^3\\\sqrt[3]{-x-9}=y[/tex]
Given the points P(2, –6) and R(8, 3), what is the component form of Vector PR?
- ⟨6, -3⟩
- ⟨10, -3⟩
- ⟨6, 9⟩
- ⟨10, 9⟩
Answer:
the third one
Step-by-step explanation:
jsut took it
Answer:
It’s C
Step-by-step explanation: