Answer:
Step-by-step explanation:
5.49-4.99= 0.5$ saved per 12packs
so 0.5/12= 0.04 cents for each can
Given that $k$ is a positive integer less than 6, how many values can $k$ take on such that $3x \equiv k \pmod{6}$ has no solutions in $x$
Supposing the value of x to be an integer, the values of k that donot
satisfy the given equation 3x = k mod 6 are 1,2,4,5.
What is an integer?An integer, which can comprise both positive and negative integers, including zero, is a number without a decimal or fractional portion.
What is the difference between integers and whole numbers?Integers are a set of numbers that include both positive and negative numbers, as well as zero. Whole numbers, on the other hand, only include the set of non-negative numbers starting from 0 (i.e., 0, 1, 2, 3, 4, ...). In other words, whole numbers are a subset of integers.
If 3x = k mod 6 has no solutions in x, then k must not be divisible by 3. The positive integers less than 6 that are not divisible by 3 are 1, 2, 4, and 5. Therefore, k can take on 4 values: 1, 2, 4, and 5.
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I If I multiply the sum of 630 and 1453 by zero what will be my result
Answer:
The result will be 0 (zero)
Step-by-step explanation:
The result will be zero because the product of any number and zero is always zero.
(630+1453)×0
= 2083×0
= 0
help asap pleaseeeee
Answer:
Its the last one!
Step-by-step explanation:
Remember
closed circle is less than or equal to and greater than or equal to
open circles are the less than and greater than!
and because it is the
less than or equal to because its going up.(left)
if carl's gpa is 2.2, his gpa has a z-score of [ select ] , and he has a higher gpa than approximately [ select ] of other students at uta. next
Using a standard normal distribution table, we can find that the percentage of values below a z-score of -1.6 is approximately 5.0%. Therefore, we can say that Carl has a higher GPA than approximately 95% of other students at UTA.
To determine Carl's z-score, we need to know the mean and standard deviation of GPAs at UTA. Without this information, we cannot calculate the z-score. However, we can still determine the percentage of other students at UTA who have a lower GPA than Carl. We can use a standard normal distribution table to find this percentage, assuming that GPAs at UTA are approximately normally distributed.
First, we need to calculate the z-score corresponding to Carl's GPA of 2.2. Assuming a mean GPA of 3.0 and a standard deviation of 0.5, we can use the formula: z = (x - μ) / σ
where x is Carl's GPA, μ is the mean GPA, and σ is the standard deviation. Plugging in the values, we get:
z = (2.2 - 3.0) / 0.5 = -1.6
Using a standard normal distribution table, we can find that the percentage of values below a z-score of -1.6 is approximately 5.0%. Therefore, we can say that Carl has a higher GPA than approximately 95% of other students at UTA.
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Think About the Process Van purchased a DVD player on sale. The original
selling price was $175.90. The sale price was $149.62. What is the first step in
finding the percent markdown? Find the percent markdown.
much appreciated if helped :(
Answer:
14.940306992% or 15%
Step-by-step explanation:
To solve for percent or price markdown, you first have to find the difference between the original selling price and the sale price.
$ 175.90 - $ 149.62 = $26.28
Then, find the percentage that $26.28 is of the original selling price. You are decreasing the original by this much to get to the sale price.
$26.28 / $175.90
= 0.14940306992
Finally, multiply by 100 and round up to reach a percentage.
15%
Carry me in Rainbow six siege i need to reach plat put your xbox gamertag down below
Answer:
My username is
Step-by-step explanation:
IloveSatorisamam
Answer: My xbox gamertag is...
Bubbles5306
Step-by-step explanation:
ASAP HELPP PLZZZ TYSM
Answer:
x = 53°
y = 90°
Step-by-step explanation:
We can see that angle y is a right angle, so y is 90°.
The marked red line above may be a straight line, so x+37° = 90, because the marked orange line is perpendicular to the red line (y=90°).
x + 37° = 90
x = 53°
Simplificar: 8x + 2x - y
Answer:
= 10x - y
Step-by-step explanation:
Help yalll I really need help major time
Answer:
Annalise is correct because the outputs are closest when x = 1.35
Step-by-step explanation:
The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.
How many people will there be if I have 58 friends and each of them bring five friends, but 6 of my friends are couples? So, how many people will be at my party, including me?
Answer:
276 individuals at the party.
Step-by-step explanation:
If 6 of your friends are couples then we would count them as 1 each and it would be 3 friends. Therefore we subtract 3 from your 58 friends.
58 - 3 = 55 friends
Each of them brings 5 friends so we multiply your number of friends by 5.
55 * 5 = 275 friends
Finally, we add you because you are included
275 + 1 = 276
There will be a total of 276 individuals at the party.
There are 4 colas, 1 ginger, 7 root beers, and 6 cherry sodas in a cooler. What are the odds of choosing a ginger ale? Give your answer in a proportion in lower terms.
Answer:
Step-by-step explanation:
the odds of choosing a ginger ale is 1/21
Work out the area of this circle.
Take it to be 3.142 and write down all the digits given by your calculator.
21 cm
Answer:
If the 21 cm is circumference, the answer would be 35.09.
If the 21 cm is radius, the answer would be 1385.44.
If the 21 cm is diameter, the answer would be 346.36.
Is the following relation a function?
Answer:
No
Step-by-step explanation:
It does not pass the vertical line test
I hope this helps you :)
-KeairaDickson
Which of the following
(1) x² +10x+25
(2) x² +25
is equivalent to (x+5)² ?
(3) 2x+25
(4) 2x+10
(x+5)^2 is equal to x^2+10x+25
so option 1
Please I need help I don't get it
Answer:
1
Step-by-step explanation:
1. Together, a 20 fl oz. Coca-Cola and a 20 fl oz. Pepsi contain 34 tsp of added sugar. The Coca-Cola contains 1 tsp less of added sugar than the Pepsi. (Source: Nutrition Action Health Letter, January/February, 2010). Find the amount of added sugar in each type of soft drink. Variables: Equations: Solve:Solution:
The amount of added sugar in coca-cola is 16.5 tsp
The amount of added sugar in pepsi is 17.5 tsp
Explanations:Since the combination of 20 fl oz of Coca Cola and 20 fl oz of Pepsi contain 34 tsp of added sugar.
Let c represents the quantity of sugar in 20 fl of coca-cola
Let p represents the quantity of sugar in 20 fl oz of Pepsi
The addition of both quantities equal 34 tsp
Mathematically,
c + p = 34...............(1)
The coca-cola contains 1 tsp less of added sugar than the pepsi:
Expressing this mathematically,
c = p - 1.................(2)
Substitute equation (2) into equation (1)
p - 1 + p = 34
2p = 34 + 1
2p = 35
p = 35/2
p = 17.5
Substitute the value of p into equation (2):
c = p - 1
c = 17.5 - 1
c = 16.5
The amount of added sugar in coca-cola is 16.5 tsp
The amount of added sugar in pepsi is 17.5 tsp
what is the system of mesasurement used most often in the United States
Answer:
The SI metric system
Step-by-step explanation:
Answer:
Customary Units
Step-by-step explanation:
United States customary units are a system of measurements commonly used in the United States since it was formalized in 1832
Express the function F(x) = (x - 3)²
in the form fog. f(x) = g(x) =
To express the function F(x) = (x - 3)² in the form fog, we need to find two functions, f(x) and g(x), such that F(x) = (f ∘ g)(x).
Let's start by expanding F(x):
F(x) = (x - 3)²
= (x - 3)(x - 3)
= x² - 6x + 9
Now, let's express F(x) in terms of f(g(x)):
F(x) = (f ∘ g)(x)
Comparing the expanded form of F(x) with the expression for (f ∘ g)(x), we can deduce that:
f(x) = x²
g(x) = x - 3
So, we can express F(x) = (x - 3)² in the form fog as:
F(x) = (f ∘ g)(x) = f(g(x)) = (g(x))²
= (x - 3)²
Therefore, f(x) = x² and g(x) = x - 3 form the composition f ∘ g such that F(x) can be expressed as (f ∘ g)(x).
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20 POINTS +BRAINLIEST IF CORRECT
Question 9(Multiple Choice Worth 1 points)
(05.02 LC)
A student wants to report on the number of movies her friends watch each week. The collected data are below:
2 14 1 2 0 1 0 2
Which measure of center is most appropriate for this situation, and what is its value?
Median; 1.5
Median; 3
Mean; 1.5
Mean; 3
Answer:
Median 1.5
Step-by-step explanation:
Answer:
Median is the most appropriate and the value is 1.5
Step-by-step explanation:
What is the approximate solution to this equation? 4inx-8=12
Answer:
\(x=e^5\approx148.413\)
Step-by-step explanation:
\(4\ln x-8=12\\\\4\ln x=20\\\\\ln x = 5\\\\x=e^5\)
Consider the following data drawn independently from normally distributed populations: (You may find it useful to appropriate table: z table or t table)
xˉ1 = −17.1
s1^2 = 8.4
n1=22
xˉ2 = −16.0
s2^2 = 8.7
n2 = 24
a. Construct the 90% confidence interval for the difference between the population means. Assume the population va unknown but equal. (Round final answers to 2 decimal places.)
confidence interval is __ to __
The 90% confidence interval for the difference in the population means is -2.51 to 0.31
Calculating the 90% confidence interval for the population mean differenceFrom the question, we have the following parameters that can be used in our computation:
xˉ₁ = −17.1
s₁² = 8.4
n₁ = 22
xˉ₂ = −16.0
s₂² = 8.7
n₂ = 24
Calculate the pooled variance using
P = (df₁ * s₁² + df₂ * s₂²)/df
Where
df₁ = 22 - 1 = 21
df₂ = 24 - 1 = 23
df = 22 + 24 - 2 = 44
So, we have
P = (21 * 8.4 + 23 * 8.7)/44
P = 8.56
Also, we have the standard error to be
SE = √(P/n₁ + P/n₂)
So, we have
SE = √(8.56/22 + 8.56/24)
SE = 0.86
The z score at 90% CI is 1.645, and the CI is calculated as
CI = (x₁ - x₂) ± z * SE
So, we have
CI = (-17.1 + 16.0) ± 1.645 * 0.86
This gives
CI = -1.1 ± 1.41
Expand and evaluate
CI = (-2.51, 0.31)
Hence, the confidence interval is -2.51 to 0.31
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What is the measure of angle x?
Answer: 112 degrees
Step-by-step explanation:
Since the two lines are parallel and the line that intersects them is a transversal, 180 - 68 = x
Solving 180 - 68,
you can find that x = 112 degrees :>
Answer: a measure of an x angle is the longest line on the graph so that how u know
Step-by-step explanation:
HELP!!! MARKING BRAINLIEST
Answer:
Not trying to take points but it is too blurry I can’t see it
Step-by-step explanation:
Last year, Alonzo had 30,00 to invest. He invested some of it in an account that pain 7% simple interest per year, and he invested the rest in an account that paid 5% simple interest per year. After one year, he revived a total of 1680 in interest. How much did he invest in each account?
The amount of money that Alonso has invested in these accounts is given as $9000 and $21000
How to solve for the investmentWe have to represent the percentages as a and b, then multiply 100 at the right hand side of the equation
we would have
7a + 5b = 1680 * 100
7a + 5b = 168000 ---- 1
From the amount that Alonso has to invest we would have
a + b = 30000
where b = 30000 - a ---- 2
We have to put the value of b in equation a
7a + 5(30000 - a) = 168000
7a + 150000 -5a = 168000
7a - 5a = 168000 - 150000
2a = 18000
a = 18000 / 2
= $9000
From equation 2
b = 30000 - 9000
= $21000
The amount that was invested in each of the accounts are
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Which system of inequalities with a solution point is represented by the graph?
y > 2x – 2 and y < Negative one-halfx – 1; (3, 1)
y > 2x – 2 and y < Negative one-halfx + 1; (–3, 1)
y > 2x + 2 and y < Negative one-halfx – 1; (3, 1)
y > 2x + 2 and y < Negative one-halfx + 1; (–3, 1)
Answer:
D
Step-by-step explanation:
just took the test
Answer:
d
Step-by-step explanation:
Can someone help please
Answer:
B
Step-by-step explanation:
Solve for the missing side
Step-by-step explanation:
12²=a²+9²
144=a²+81
a²=144-81
a²=63
a=√63
a=7.94
Which type of triangle Iany, can be formed with oldes measuring 8 inches 8 inches, and 3
Inches?
Answer:
Answer: we can form an Isosceles triangle using the given measures.
Write an equation for a line that passes through (0, 0) and is parallel to a line that passes through (-5, 3) and (2, 1).
An equation for a line that passes through (0, 0) and is parallel to a line that passes through (-5, 3) and (2, 1) is 0 = (-2/7)0 + 0
What is a parallel line?Two or more lines that never intersect are said to be parallel. We can see parallel lines all around us, such as in the bookcase's shelves and the two sides of this page.
There is a good chance that lines or structures that appear to run in the same direction, never cross one another, and always have the same spacing between them are parallel.
We will find the slope using the slope formula that is
⇒ m = (y₂ - y₁)/(x₂ - x₁)
Given points are (-5, 3) and (2, 1), so
⇒ m = (1 - 3)/(2 - (-5))
⇒ m = -2/7
We have asked to write an equation for a parallel line that passes through (-5, 3) and (2, 1).
for a two lines to be parallel, m = m for both lines
so as the slope is (-2/7), lets put the value in (0,0)
y = mx + b
0 = (-2/7)0 + b
b = 0
And therefore the equation is 0 = (-2/7)0 + 0
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DATA EXPLORATION Did Mr. Starnes stack his class? Mr. Starnes teaches APD Statistics, but he also does the class scheduling for the high school. There are two AP® Statistics classes-one taught by Mr. Starnes and one taught by Ms. McGrail. The two teachers give the same first test to their classes and grade the test together. Mr. Starnes's students earned an average score that was 8 points higher than the average for Ms. McGrail's class. Ms. McGrail wonders whether Mr. Starnes might have "adjusted" the class rosters from the computer scheduling program. In other words, she thinks he might have stacked" his class. He denies this, of course. To help resolve the dispute, the teachers collect data on the cumulative grade point averages and SAT Math scores of their students. Mr. Starnes provides the GPA data from his computer. The students report their SAT Math scores. The following table shows the data for each student in the two classes. Note that the two data values in each row come from a single student. la W 28 Starnes GPA McGrail GPA Starnes SAT-M 670 2.9 2.9 2.86 520 2.6 3.6 3.2 McGrail SAT-M 620 590 650 600 620 680 500 502.5 2.71 570 710 600 590 640 570 710 630 630 670 650 660 510 3.1 3.085 3.75 3.4 3.338 3.56 3.8 3.2 3.1 3.3 3.98 2.9 3.2 3.5 2.8 2.9 3.95 3.1 2.85 2.9 3.245 3.0 3.0 640 630 580 590 600 600 2.8 620 580 600 600 2.9 3.2 Did Mr. Starnes stack his class? Give appropriate graphical and numerical evidence to support your
The possible data in the question does not provide sufficient evidence available to support the alternative hypothesis that there is a difference between Mr. Starnes and Ms. McGrail's AP Statistics classes and Mr. Starnes did not stack the class.
What is a hypothesis testing?
In statistics, a hypothesis test is the performance of a test on an assumption made about a population parameter.
The possible data in the question, obtained from a similar online question, using MS Excel, indicates;
The mean of the Starnes GPA ≈ 3.212867
The standard deviation of Starnes GPA ≈ 0.364249
Mean of McGrail GPA ≈ 3.134722
The standard deviation of McGrail's GPA ≈ 0.357995
The null hypothesis is H₀: μ₁ - μ₂ = 0
The alternative hypothesis is Hₐ: μ₁ - μ₂ ≠ 0
The test statistic is found using the following formula;
\(t_0 = \dfrac{(\overline{x_1} - \overline{x_2})-(\overline{\mu_1}-\overline{\mu_2})}{\sqrt{\dfrac{s_1^2}{n_1}+\dfrac{s_2^2}{n_2} } }\)
The decision rule is obtained with α = 0.05 and the null hypothesis is rejected t₀ ≤ -1.96 or t₀ ≥ 1.96
Therefore, we get;
\(t_0 = \dfrac{(3.212867 - 3.134722)-0}{\sqrt{\dfrac{0.364249^2}{15}+\dfrac{0.357995^2}{18} } } \approx 0.618\)
The parameter for the degrees of freedom is 15 - 1 = 14
The critical value obtained from the t-table, at t.₉₅ is 1.761 which is larger than 0.618, therefore, we fail to reject the null hypothesis, and the evidence is insufficient to suggest that there is a difference in the average score of the two AP Statistics classes.
Taking the variance to be the same, we get;
\(S_p^2= \dfrac{(n_1-1)\cdot s_1^2+(n_2-1)\cdot s_2^2}{n_1+n_2-2}\)
Therefore;
\(S_p^2= \dfrac{(15-1)\times 0.364249^2+(18-1)\times 0.357995^2}{15+18-2}\approx 0.1302\)
\(t_0 = \dfrac{(\overline{x_1} - \overline{x_2})-(\overline{\mu_1}-\overline{\mu_2})}{\sqrt{s_p^2 \times\left(\dfrac{1}{n_1}+\dfrac{1}{n_2} }\right) }\)
\(t_0 = \dfrac{(3.212867 - 3.134722)-0}{\sqrt{0.1302\times \left(\dfrac{1}{15}+\dfrac{1}{18} }\right) } \approx 0.6195\)
df = 15 + 18 - 2 = 31
From the t-table, the critical value is about 1.697, which is larger than 0.6195, therefore, the null hypothesis cannot be rejected and the evidence available is not enough to suggest that there is a difference between the grade point averages of Mr. Starnes and Ms. McGrail AP Statistics classes and Mr. Starnes did not stack the class
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