The number of days for which smoothie demand is an outlier is the number of days when the demand for a smoothie is either less than 30 cups or more than 70 cups.
To determine the number of days for which smoothie demand is an outlier, depending on the 95% confidence interval, one needs to know the expected demand for a smoothie and the standard deviation of the demand for the smoothie.
Let's say that the expected demand for a smoothie is 50 cups per day. And, the standard deviation of the demand for a smoothie is 10 cups per day.
Using the 95% confidence interval, the formula to calculate the lower and upper bounds of the demand for a smoothie would be:
Lower Bound: expected demand - (z-score x standard deviation)Upper Bound: expected demand + (z-score x standard deviation)Where the z-score for a 95% confidence interval is 1.96 (from the z-table).So,Lower Bound: 50 - (1.96 x 10) = 29.6 (rounded to 30)Upper Bound: 50 + (1.96 x 10) = 70.4 (rounded to 70)
Therefore, the number of days for which smoothie demand is an outlier is the number of days when the demand for a smoothie is either less than 30 cups or more than 70 cups. This would depend on the data available for smoothie demand.
Determine the number of days for which smoothie demand is an outlier (depending on 95% confidence interval) 50 1052 44 1048
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Three friends start a business and decide to split the profits equally. Jim invests $2,000, Mary invests $3,000, and Sally invests $5,000. If the profits are $3,000, how much of the profits would Sally receive if the profits were divided proportional to how much each friend invested?
Answer:
$1500Step-by-step explanation:
Sally's share is half of the investment5000 = 1/2(2000 + 3000 + 5000)Sally will get half of the profit according to investment3000*1/2 = 1500What the answer pls…
Solve
[y=3+x
y = 3x + 8
Hello !
1. We have :\(y=3+x\\y = 3x + 8\)
2. We know that y = y\(\boxed{y=}3+x\\\boxed{y=} 3x + 8\)
We know that y = y, so :
\(3 + x = 3x + 8\)
3. Solve the equation3.1 Solve x
\(\\\\\\\\3+x = 3x + 8\\\\3 + x - x = 3x + 8 -x\\\\3 = 2x + 8\\\\3 - 8 = 2x + 8 - 8\\\\-5=2x\\\\x = -\frac{5}{2}\\\\\boxed{x = -2,5}\)
3.2 Solve y
\(y = 3 + x\\\\y = 3 + (-2,5)\\\\y = 3 - 2,5\\\\\boxed{y = 0,5}\)
4. Conclusionx = -2,5
y = 0,5
When we say p < .05, it suggests that there is less than 5 chance in ______ that any differences found were not due to the hypothesized reason.
a. 5
b. 20
c. 25
d. 100
When we say p < .05, it suggests that there is less than 5% chance in 100 that any differences found were not due to the hypothesized reason.
The probability value (p-value) is a statistical measure that aids researchers in determining the likelihood of obtaining a particular observation if the null hypothesis is true. A null hypothesis is a statement or assumption that an experiment's result has no relation to the parameters being tested or the population at large.
The significance level (alpha) of the statistical analysis determines whether or not to accept the null hypothesis. If the calculated p-value is less than the significance level, the null hypothesis may be rejected, indicating that there is a statistical difference between the two datasets. If the p-value is greater than the significance level, there is insufficient evidence to reject the null hypothesis.A p-value of less than 0.05 is considered statistically significant, indicating that the likelihood of getting the observed result due to chance is less than 5%.
The rejection region in a hypothesis test is set to this level, implying that if the p-value is less than 0.05, we can conclude with 95% confidence that the null hypothesis should be rejected.
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Don’t be shyyyy help me out
Answer:
this 10 class level question
Step-by-step explanation:
how do i solve this i am here for points lOl
Tom has 4000 dollars. He earns 375.9 dollars every month, he drops 136.39 dollars and loses it. But in the span of 7.6 months he found all of it. How much money does he have now? (Including the money he earned over the 7.6 months)
Answer:
I think its 6856.84
Step-by-step explanation
After finding the money he has his 4000 dollars back.
4000 dollars add the money he earned in 7.6 months equals to 6856.84
Answer:
6856.84
Step-by-step explanation:
4000 + (375.9 x 7.6) = 6856.84
Step by Step its...
4000 + (375.9 x 7.6)
4000 + (2856.84)
6856.84
Solve for x. Figures are not necessarily drawn to scale.
Check the picture below.
\(\cfrac{17.5+14}{17.5}~~ = ~~\cfrac{x}{12.5}\implies \cfrac{(17.5+14)(12.5)}{17.5}~~ = ~~x\implies 22.5=x\)
according to a recent study from the centers for disease control on american adults, the proportion that have a mobile phone is 89%, the proportion that have a landline is 57%, and 2% have neither a landline nor a mobile phone. what proportion of american adults have a mobile phone, and not a landline?
Approximately 34% of American adults have a mobile phone but not a landline, based on the given proportions from the study conducted by the Centers for Disease Control.
The proportion of American adults who have a mobile phone but not a landline, we need to subtract the proportion of those who have both a mobile phone and a landline from the proportion of those who have a mobile phone.
Let's denote the proportion of American adults who have a mobile phone as P(M), the proportion who have a landline as P(L), and the proportion who have neither as P(N).
Given information:
P(M) = 89% (proportion with a mobile phone)
P(L) = 57% (proportion with a landline)
P(N) = 2% (proportion with neither)
We can now calculate the proportion of adults who have a mobile phone but not a landline using the following equation:
P(M and not L) = P(M) - P(M and L)
To find P(M and L), we can subtract P(N) from P(L) since those who have neither are not included in the group with a landline:
P(M and L) = P(L) - P(N)
P(M and L) = 57% - 2%
P(M and L) = 55%
Now we can substitute the values back into the equation to find P(M and not L):
P(M and not L) = P(M) - P(M and L)
P(M and not L) = 89% - 55%
P(M and not L) = 34%
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You and your friend play a video game. You have a final score of 40 points and your friend has a final score of -21 points. By how many points did you win?
Which of the following values are solutions to the inequality 2x + 4 > 8?
I. 2
II. 4.
III.-5
Answer:
II only
Step-by-step explanation:
2x+4>8
2x>4
x>2
It can't be 2 or -5
It can only be I. if the inequality sign is > or = too
5. A theater wants to take in at least $2000 for the matinee. Children's
tickets cost $5 each and adult tickets cost $10 each. The theater can seat
up to 350 people. Select all the combinations of children and adult tickets
that will make the $2000 goal.
There are several possible answers.
A- (80, 150)
B- (40, 200)
C- (60, 150)
D- (70, 160)
E- (90, 200)
F- (200, 100)
The required number of children and adults for sitting in the theater are 300 and 50 respectively.
Explain linear equation of two variable.A equation is supposed to be linear equation in two factors in the event that it is written as hatchet + by + c=0, where a, b and c are genuine numbers and the coefficients of x and y, i.e an a and b separately, are not equivalent to nothing. For instance, 10x+4y = 3 and - x+5y = 2 are straight equation in two factors.
According to question:Let be consider number of children be x and that of adults is y.
We have,
x + y = 350-------(1)
y = 350 - x
And 5x + 10y = 2000------------------(2)
Put value of y in equation (2)
5x + 10( 350 - x) = 2000
5x + 3500 - 10x = 2000
-5x = -1500
x = 300
Then
y = 350 - x = 350 - 300 = 50
Thus, There will be 300 children and 50 adults in the theater .
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A. Complete the table if y varies
directly as x or x2
B. Complete the table if y varies inversely as x.
Direct variation is represented by the equation y = k × x and inverse variation is represented by y = k/x
Table 1:
y = k × x
30 = k × 5
30 = 5k
k = 30/5
k = 6
So,
y = 30
y = 30 k = 6
y = 30 k = 6x = 5
y = 30 k = 6x = 5Equation: y = 6x
y = k × x
y = 10 × 8
y = 80
So,
y = 80
y = 80 k = 10
y = 80 k = 10x = 8
y = 80 k = 10x = 8Equation: y = 10x
y = 3x
18 = 3x
x = 18/3
x = 6
So,
y = 18
y = 18k = 3
y = 18k = 3x = 6
y = 18k = 3x = 6Equation: y = 3x
y = 2x²
72 = 2x²
x² = 72/2
x² = 36
x = √36
x = 6
So,
y = 72
y = 72k = 2
y = 72k = 2x = 6
y = 72k = 2x = 6Equation: y = 2x²
Table 2:
y = k/x
5 = k/6
5 × 6 = k
30 = k
So,
y = 5
y = 5k = 30
y = 5k = 30x = 6
y = 5k = 30x = 6Equation: y = 30/x
y = k/x
y = 36/4
y = 9
So,
y = 9
y = 9k = 36
y = 9k = 36x = 4
y = 9k = 36x = 4Equation: y = 36/x
y = 60/x
20 = 60/x
20x = 60
x = 60/20
x = 3
So,
y = 20
y = 20k = 60
y = 20k = 60x = 3
y = 20k = 60x = 3Equation: y = 60/x
y = 24/x
y = 24/12
y = 2
So,
y = 2
y = 2k = 24
y = 2k = 24x = 12
y = 2k = 24x = 12Equation: y = 24/x
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In the figure, m<4=65 degrees. Find the measure of each angle.
6.) m<6
7.) m<2
8.) m<3
9.) m<8
10.) m<7
11.) m<5
12.) m<1
Answer:
4 and 2 are 65 vertical angles
8 and 6 ae 65 corresponding angles to 4 and 2
1 is 115 supplemental to 4
3 is 115 vertical
5 and 7 are 115 corresponding to 1 and 3.
Step-by-step explanation:
4. A pizza shop has 12" pizzas with 6 slices and 16" pizzas with slices. Which pizza has bigger slices?
PLEASE NO LINKS Thank you :)
Answer:
hon you never asked a question or added an image. id be happy to try and help if you do!
Answer:
ok but how do we help you
Step-by-step explanation:
Four lines meet at a point. The sun of three of the angles at the point is 267. The size of the other angle is
Answer: 93
Step-by-step explanation:
Write each expression in a simpler form that is equivalent to the given expression 674 * 28796^(-1). Express your answer as a fraction,
Given the expression
\(674\times28796^{-1}\)We apply the negative index law of indices below:
\(a^{-1}=\frac{1}{a}\)Therefore:
\(\begin{gathered} 674\times28796^{-1} \\ =674\times\frac{1}{28796} \\ =\frac{674}{28796} \end{gathered}\)A square has an area of 28 square inches. What is the length of a side of the square, in inches?
Hi there!
»»————- ★ ————-««
I believe your answer is:
\(2\sqrt{7}\text{ } in.\)
»»————- ★ ————-««
Here’s why:
\(\rule{150}{0.5}\\$\bullet \text{ Area of a square is: } a^2\\\text{ } \rightarrow a - \text{given side}\\\rule{150}{0.5}\\a = \sqrt{28}\\\\\rightarrow 28 \text{ can be factored to } 2 * 2 * 7\\\\\rightarrow\sqrt{28}\\\\\rightarrow \sqrt{2*2*7}\\\\\rightarrow \boxed{2\sqrt{7}}\\\rule{150}{0.5}\)
The side of the square should be 2√7 inches.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
The length of a side of a square in inches is approximately 5.29 inches.
What is Square?A square is a four sided polygon where each side are equal and each angle equal to 90 degrees.
The formula to find the area of a square is,
Area of a square = a²,
where "a" is the side length of the square.
Given, area of the square = 28 square inches.
Let "a" be the side length of the square.
a² = 28
a = √28 inches ≈ 5.29 inches.
Hence the length of a side is 5.29 inches.
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A statistics professor would like to build a model relating student scores on the first test to the scores on the second test. The test scores from a random sample of 21 students who have previously taken the course are given in the table.
Test Scores
Student First Test Grade Second Test Grade
1 50 70
2 91 58
3 55 74
4 58 65
5 79 60
6 70 60
7 97 48
8 51 73
9 51 73
10 59 66
11 69 67
12 56 70
13 56 73
14 41 76
15 49 72
16 58 68
17 58 73
18 99 53
19 87 58
20 95 50
21 97 55
Using statistical software, estimate the parameters of the model
Second Test Grade=β0+β1(First Test Grade)+εiSecond Test Grade=β0+β1(First Test Grade)+εi.
Enter a negative estimate as a negative number in the regression model. Round your answers to 4 decimal places, if necessary.
Sum of multiplied differences= -962.676 and β1 = -962.676 / ((-18.381)^2 + (22.619)^2 + (-13.381)^2 + (-10.381)^2 + (10.619)^2 + (2.619)^2 + (28.619)^2 + (-17.381)^2 + (-17.381)^2 + (-9.381)^2 + (0.619).
To estimate the parameters of the model, we can use the following steps:
Calculate the mean of the first test scores and the mean of the second test scores.
Calculate the difference between each student's first test score and the mean first test score, and the difference between each student's second test score and the mean second test score.
Multiply the differences from step 2 together for each student, and sum the results.
Divide the sum from step 3 by the sum of the squares of the differences from step 2. This will give us the value of β1.
Calculate β0 by substituting the values of β1 and the mean first and second test scores into the equation: Second Test Grade = β0 + β1(First Test Grade)
Using these steps, we can calculate the estimates of the parameters as follows:
Mean first test score = (50+91+55+58+79+70+97+51+51+59+69+56+56+41+49+58+58+99+87+95+97)/21 = 68.381
Mean second test score = (70+58+74+65+60+60+48+73+73+66+67+70+73+76+72+68+73+53+58+50+55)/21 = 64.762
Difference between student 1's first test score and mean first test score = 50 - 68.381 = -18.381
Difference between student 1's second test score and mean second test score = 70 - 64.762 = 5.238
Difference between student 2's first test score and mean first test score = 91 - 68.381 = 22.619
Difference between student 2's second test score and mean second test score = 58 - 64.762 = -6.762
Sum of multiplied differences = (-18.3815.238) + (22.619-6.762) + (-13.3818.238) + (-10.381-0.762) + (10.619*-6.238) + (2.619*-7.238) + (28.619*-16.762) + (-17.3819.238) + (-17.3819.238) + (-9.381*-0.762) + (0.619*-0.238) + (-2.3816.238) + (-2.3817.238) + (-27.38116.238) + (-18.3813.238) + (-10.381*-3.762) + (-10.3815.238) + (-10.3815.238) + (30.619*-11.762) + (18.619*-6.762) + (26.619*-14.762) + (28.619*-9.762) = -962.676
β1 = -962.676 / ((-18.381)^2 + (22.619)^2 + (-13.381)^2 + (-10.381)^2 + (10.619)^2 + (2.619)^2 + (28.619)^2 + (-17.381)^2 + (-17.381)^2 + (-9.381)^2 + (0.619)
Thus, Sum of multiplied differences= -962.676 and β1 = -962.676 / ((-18.381)^2 + (22.619)^2 + (-13.381)^2 + (-10.381)^2 + (10.619)^2 + (2.619)^2 + (28.619)^2 + (-17.381)^2 + (-17.381)^2 + (-9.381)^2 + (0.619).
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Write the quadratic function in standard form. \[ \begin{array}{r} f(x)=x^{2}-8 x \\ f(x)=x^{2}-8 x+0 \end{array} \]
\( f(x)=x^{2}-8 x \) \( f(x)=x^{2}-8 x \)
The quadratic function \( f(x) = x^2 - 8x \) is already in standard form.
The given quadratic function is \( f(x) = x^2 - 8x \). To write it istandardn form, we want to express it as \( f(x) = ax^2 + bx + c \), where \( a \), \( b \), and \( c \) are constants.
In this case, we have \( a = 1 \), \( b = -8 \), and \( c = 0 \). We can rewrite the function in standard form as follows:
\[ f(x) = x^2 - 8x + 0 \]
The coefficient of \( x^2 \) is 1, which is already the desired form. The coefficient of \( x \) is -8, and the constant term is 0.
Therefore, the quadratic function \( f(x) = x^2 - 8x \) is already in standard form.
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The quadratic function \( f(x) = x^2 - 8x \) is already in standard form.
The given quadratic function is \( f(x) = x^2 - 8x \). To write it is standard form, we want to express it as \( f(x) = ax^2 + bx + c \), where \( a \), \( b \), and \( c \) are constants.
In this case, we have \( a = 1 \), \( b = -8 \), and \( c = 0 \). We can rewrite the function in standard form as follows:
\[ f(x) = x^2 - 8x + 0 \]
The coefficient of \( x^2 \) is 1, which is already the desired form. The coefficient of \( x \) is -8, and the constant term is 0.
Therefore, the quadratic function \( f(x) = x^2 - 8x \) is already in standard form.
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Find the product (x^2-2x-4)(x^2-3x-5)
What lines would you use to solve
–3x – 2 = 2x + 8?
Graph the line
for the left side of the equation.
Graph the line
for the right side of the equation.
Linear-Linear Equation
The lines to use to solve the equation are y = –3x – 2 and y = 2x + 8
The graph of the line is attached
How to determine the lines to use to solve the equationFrom the question, we have the following parameters that can be used in our computation:
–3x – 2 = 2x + 8
The above equation can be splitted by introducing the variable y
using the above as a guide, we have the following:
y = –3x – 2
y = 2x + 8
This means that the lines to use to solve the equation are y = –3x – 2 and y = 2x + 8
The graph of the line is added as an attachment
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Help please ASAP !!
Answer:
51.5
Step-by-step explanation:
What is the base of a triangle if the area is represented by 2A = BH ?
Given the formula d=rt. Suppose you were given a distance and rate but needed to find the time, how could you rearrange this formula to solve for time?
t=__/__
Answer:
B = 2A/Ht = d/rStep-by-step explanation:
Area
2A = BH2A/H = BH/HB = 2A/HDistance
d= rtd/r = rt/rt = d/rWhat is Ed's mean speed if he bikes 48.6 miles in 2.7 hours? Round your answer to two decimal places, if necessary.
EXPLANATION
Since we have that Ed bikes 48.6 miles, dividing this number by the number of hours will give us the mean speed as shown as follows:
\(\text{Mean spped = }\frac{48.6\text{ miles}}{2.7\text{ hours}}=18\text{ }\frac{miles}{\text{hour}}\)In conclusion, the mean speed is 18 miles/hour
How would you define a pair of parallel lines?
Answer:
We say that two lines (on the same plane) are parallel to each other if they never intersect each other, ragardless of how far they are extended on either side. Pictorially, parallel lines run along each other like the tracks of a train.
Hope this helps <3
true or false: a test score that is valid is reliable, but a test score that is reliable is not necessarily valid.
Answer:
True, because is it is valid, it means it is true, and in turn, it is reliable source, while if it's simply reliable, that does not necessary mean it's valid.
Isaiah started with 421 letters. At each stop he makes, he delivers 29 letters. How many letters are leftover?
\( \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}\)
\(I \: \: Think \: \: The \: \: Answer \: \: Is \: \: \red{ \boxed{ \boxed{ \huge{ \tt{{ \: 392 \: }}}}}}\)
Answer:
2.) Isaiah started with 421 letters. At each stop he makes, he delivers 29 letters. How many letters are leftover? *
Step-by-step explanation:
Item 4 Identify the initial amount $a$ and the rate of growth $r$ (as a percent) of the exponential function $y=12\left(1.05\right)^t$ . Evaluate the function when $t=5$ . Round your answer to the nearest tenth.
Answer:
Initial amount = 12
Rate of growth = 5%
value of the function when t t = 5 is 15.3
Step-by-step explanation:
The standard exponential growth equation is expressed as;
y = A(1+r)^t
A is the initial amount
r is the rate of growth
t is the time
Given the expression y = 12(1.05)^t
On comparing with the general formula;
A = 12
Hence the initial amount is 12
Also;
1 + r = 1.05
r = 1.05 -1
r = 0.05
r = 0.05 * 100
r = 5%
The rate of growth is 5%
To evaluate the function when t = 5, we will substitute t = 5 into the given function as shown;
Recall that y = A(1+r)^t
y = 12(1.05)^5
y = 12(1.2763)
y = 15.3 (to the nearest tenth)
3. Use these properties to rewrite 7/4 + 1/2 + 5/3+1/3+1/4 + 1/2 in a way that makes the addition easier. Explain how your changes simplify the addition. (3 points)
The solution of the sum of the numbers will be 5.
How to do summation?To make the addition easier, we can first simplify the fractions by finding a common denominator. The smallest common multiple of 2, 3, and 4 is 12. We can rewrite the fractions with this denominator:
7/4 = (7/4) x (3/3) = 21/12
1/2 = (1/2) x (6/6) = 6/12
5/3 = (5/3) x (4/4) = 20/12
1/3 = (1/3) x (4/4) = 4/12
1/4 = (1/4) x (3/3) = 3/12
1/2 = (1/2) x (6/6) = 6/12
Now we can add the fractions together:
21/12 + 6/12 + 20/12 + 4/12 + 3/12 + 6/12
Combining like terms, we get:
60/12 = 5
So the sum of the original fractions is equal to 5.
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