Therefore, there are 45 different combinations of meals that Yann and Camille can order if they refuse to order the same dish.
This problem involves counting the number of ways two people can choose different dishes from a menu of 10 items, without repeating any dish. To solve this problem, we can use the formula for combinations, which is given by:
C(n, k) = n!/[(n-k)! k!]
where n is the total number of items, and k is the number of items we want to choose. In this case, we want to choose 2 items from a menu of 10, so we have:
C(10, 2) = 10!/[(10-2)! 2!]
= (10 x 9)/2
= 45
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If you were to split $353 between 5 people, about how much would each receive?
$70
$80
$90
$60
Answer:
70 dollers i hope it helps
Step-by-step explanation:
Answer:
=$70
Step-by-step explanation:
You've been told about so it doesn't have to be the exact amount and since 353 can't divide 5 without a remainder. Each will get $70 and there will be a remainder of 3.
some researchers claim that there is not much difference between qualitative and quantitative data. please select the best answer from the choices pro
The claim that there is not much difference between qualitative and quantitative data is incorrect.
Qualitative and quantitative data are two distinct types of data that serve different purposes and have different characteristics.
Qualitative data refers to non-numerical information that is typically obtained through observations, interviews, or surveys. It provides insights into opinions, attitudes, behaviors, and subjective experiences. Qualitative data is often descriptive in nature, expressed in words, narratives, or themes. It allows researchers to explore complex phenomena, understand contextual factors, and capture the richness of human experiences. Examples of qualitative data include interview transcripts, field notes, and open-ended survey responses.
On the other hand, quantitative data is numerical in nature and involves the collection and analysis of measurable variables. It focuses on quantities, statistical analysis, and mathematical modeling. Quantitative data allows researchers to quantify relationships, make predictions, and conduct statistical tests. It is often collected through surveys, experiments, or structured observations. Examples of quantitative data include numerical measurements, survey responses on a Likert scale, and statistical values such as means and standard deviations.
In conclusion, qualitative and quantitative data are distinct in their characteristics, purpose, and analytical approaches. The claim that there is not much difference between them is incorrect.
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special industrial battery must have a life of at least 400 hours. a hypothesis test is to be conducted with a 0.02 level of significance. if the batteries from a particular production run have an actual mean use life of 391 hours, the production manager wants a sampling procedure that only 10% of the time would show erroneously that the batch is acceptable. what sample size is recommended for the hypothesis test? use 45 hours as an estimate of the population standard deviation. (round your answer up to the nearest integer.)
488601 is the sample size recommended for the hypothesis test.
Given,
The life of the battery = 400 hours
Significance level = 0.02
Mean = 391 hours
The production manager needs a sampling technique that would incorrectly indicate that the batch is acceptable only 10% of the time.
We have to find the sample size recommended for the hypothesis test;
Here,
Margin of error E = Z(α/2) × (σ/n²)
From this equation we get n as
n = (z × σ /E)^2
α = 0.02
From the standard normal table value we get
z(α/2) = 2.33
σ = 30
E= 0.1
Therefore,
n =(2.33*30/0.1)^2
n =488601
That is,
The sample size recommended for the hypothesis test is 488601.
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QUICK SOMEONE HELP PLEASE
The length of segment LK in the triangle is 15.75.
option D.
What is the length of segment LK?The length of segment LK in the triangle is calculated by applying the principle of median lengths of triangle as shown below.
From the diagram, we can see that;
length KX and XL are not in the same proportion
length KX and XL divides length LK into two parts on the ratio of 1 : 2
Using the principle of proportion, can set up the following equation and calculate the value of length LK as follows;
total ratio = 1 + 2 = 3
(proportion of length LX / total ratio ) x length LK = 10.5
( 2 / 3 ) x LK = 10.5
2LK = 3(10.5)
2LK = 31.5
LK = 31.5 / 2
LK = 15.75
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-2.75 + 8.25 shown work pls
Answer:
5.5
Step-by-step explanation:
Fisrst I would rearange the equation to read 8.25 -2.75 from there you would just subtract as normally.
Find the approximate side length of a square game board with an area of 200in
Answer:
Side length of a square game board is 11.916 inches.
Step-by-step explanation:
Find the value of x. Give the answer in simplest radical form.
PLEASE HELP
The answer is 7 or 7.07. Hope this helps
Please help me out I really need theese answers
Answer:
b
Step-by-step explanation:
Help me solve this!!!!!!!!!!!!
Answer: 160 burgers
Step-by-step explanation:
Let's write down our givens first
200 pounds is the weight of a wolf
They can eat 20% of their weight
Each burger is a quarter pound
So first 20% of 200pounds is 40 pounds so a wolf can eat 40 pounds of food
Now how many 1/4 hamburgers can make up 40 pounds
160 burgers
Jackie has already baked 17 pies, and she can bake 1 pie with each additional cup of sugar she buys.
With 18 additional cups of sugar, how many total pies can Jackie bake?
Answer:
35 pies
Step-by-step explanation:
17 + 18 = 35 pies
18 cups of sugar = 18 pies
Find x
1. 2 square root 6. 2. 6 square root 2. 3. 12. 4. 8
Answer:
sin45°= opp/hyp
opp= 6
hyp=x
sin45°=6/x
x=6÷0.7071
x=8.49
Will give brainliest if you find the mean
10, 10, 20, 40, 70
Answer:
30
Step-by-step explanation:
10+10+20+40+70=150
150/5=30
hope this helps!
Answer:
ok so find the average first we have to add up
10+10=20
20+40=60
70+20=90
90+60=150
then we have to divide by the number so 5 since their is 5 number in the date set
150/5=30
30
Hope This Helps!!!
David rides the bus every day. He bought a pass good for the month of October for $62. How much was David charged per day for the bus pass?
Answer:
$2
Step-by-step explanation:
there are 31 days in October
62 divided by 31= 2
he spent 2 dollars a day.
The value of a car decreases as shown in the table below.
A 2-column table with 6 rows. The first column is labeled years after purchase with entries 0, 1, 2, 3, 4, 5. The second column is labeled value (dollar sign) with entries 25,000; 18,000; 14,000; 10,500; 8,000; 6,000.
Which statements are true? Check all that apply.
The statements which are true from the given table are:
The function that best represents the data is f(x) = 24,512(0.755)x.
The function decreases indefinitely.
It is reasonable to interpolate the value of the car at 4.5 years.
What is Depreciation?Depreciation refers to the accounting method where the value of a tangible asset reduces over a period of time.
The value of the car is shown with the purchase with entries that shows its value over time,
The function that best represents the data is f(x) = 24,512(0.755)x and that this function decreases indefinitely.
The statements which are true from the given table are:
The function that best represents the data is f(x) = 24,512(0.755)x.
The function decreases indefinitely.
It is reasonable to interpolate the value of the car at 4.5 years.
The complete question is
"The value of a car decreases as shown in the table below.
A 2-column table with 6 rows.
The first column is labeled years after purchase with entries 0, 1, 2, 3, 4, 5.
The second column is labeled value (dollar sign) with entries 25,000; 18,000; 14,000; 10,500; 8,000; 6,000.
Which statements are true? Check all that apply.
The function that best represents the data is f(x) = 24,512(0.755)x.
The function that best represents the data is f(x) = 554x2 – 5,439x + 24,600.
The function decreases indefinitely.
It is reasonable to interpolate to the value of the car at 4.5 years.
It is reasonable to extrapolate to 40 years"
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find the measure of the angle of elevation of the sun to the nearest degree, if a 100ft tall building casts a 150ft shadow.
Answer:
33.7º
Step-by-step explanation:
tan = opp/adj
tan∅ = 100/150 = 2/3
∅ = arctan 2/3
∅ = 33.690067525979787
33.7º
I need help on this one question, anyone know the answer?
What is the coefficient of y in the expression 2.4+ 3y?
In the expression 2*4 + 3y, the coefficient of y is 3. The coefficient is the number next to the variable.
Lumber division of Hogan Inc. reported a profit margin of 17% and a return on investment of 21.76%. Compute the investment turnover for Hogan. (round the number to two decimal points. E.g., 2.52) O 1.28 O 0.78 O 0.02 O 5.88
Lumber division of Hogan Inc. reported a profit margin of 17% and a return on investment of 21.76%. the investment turnover for Hogan Inc. is approximately 0.78. This indicates that for every dollar invested, the company generates approximately 78 cents in revenue.
The investment turnover is a financial ratio that measures how efficiently a company is utilizing its investments to generate revenue. It is calculated by dividing the revenue by the average total investment. In this case, we are given the profit margin and the return on investment (ROI), and we can use these values to calculate the investment turnover.
The profit margin is defined as the ratio of net income to revenue, expressed as a percentage. In this scenario, the profit margin is given as 17%. This means that for every dollar of revenue generated, the company has a profit of 17 cents.
The ROI is the ratio of net income to the average total investment, expressed as a percentage. In this case, the ROI is given as 21.76%. This means that for every dollar invested, the company generates a return of 21.76 cents.
To calculate the investment turnover, we can rearrange the ROI formula as follows:
ROI = (Net Income / Average Total Investment) * 100
Since the profit margin is equal to the net income divided by revenue, we can substitute the profit margin into the ROI formula:
ROI = (Profit Margin / Average Total Investment) * 100
Now, we can rearrange the formula to solve for the average total investment:
Average Total Investment = Profit Margin / (ROI / 100)
Substituting the given values:
Average Total Investment = 17% / (21.76% / 100) = 17 / 21.76 ≈ 0.78
Therefore, the investment turnover for Hogan Inc. is approximately 0.78. This indicates that for every dollar invested, the company generates approximately 78 cents in revenue.
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Given: AB = BC, AC is ∠ bisector of ∠BAD Prove: BC ∥ AD
Answer:
<BAC ≅ BCA by rule Base angle theorem
Step-by-step explanation:
What we know:
BAC = DAC
BC = BA
ΔBCA is an isosceles so ∠BCA = ∠DCA and ∠BAC
and we found that out by base angle theorem since
Base angle Theorem = Two base angles of a icosceles triangle are equal.
And since ΔBCA is an isoceles then ∠A and ∠C will be equal. And so we can prove BC is a parallel to AD
The proof that BC ∥ AD from the given statements is that;
BC ∥ AD because of the definition of alternate angles
We are given;
AB = BC
AC is ∠ bisector of ∠BAD
Since AC is the angle bisector of ∠BAD, it means that;
∠BAC = ∠DAC (definition of a bisected angle)
Now, since AB = BC, it means that ΔBCA is an isosceles triangle.
Thus; ∠BCA = ∠BAC (base angle theorem)
Now, since ∠BCA = ∠BAC, and ∠BAC = ∠DAC, we can say that;
∠BCA = ∠DAC
This means ∠BCA and ∠DAC are alternate angles. Thus, we can say that AC is the transversal line carrying the two equal angles.
Thus, we can say that BC is parallel to AD as they are the parallel lines cut by the transversal line AC.
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Someone please help me please
Answer: A
Step-by-step explanation:
I hope this still helps my guy :D let me know if it does!
lines l and m are parallel line i is represented by the equation 3x+4y=8 if line m passes through the point (2,-5) which equation represenrs line m
A y-5=-3/4 (x+2)
B y+5= -3/4(x-2)
C y-5= 4/3(x+2)
D y+5= 4/3(x-2)
Answer:
B
Step-by-step explanation:
because the math
What is the equation of the graph below?
can some one do my homework plz
Over winter break, Alex took a trip to Montana and recorded the temperatures for the week. The temperature for the first six days of his trip are listed below. If the average temperature for the week he was on vacation was 1.2 degrees Fahrenheit, what was the temperature for Sunday?
Monday -5.3F
Tuesday 3.6F
Wednesday 6.7F
Thursday 0F
Friday 10F
Saturday -4.3F
Sunday ?F
Answer:
The temperature for Sunday was -2.3F
Step-by-step explanation:
When we have a set of N values:
{x₁, x₂, ..., xₙ}
The mean is given by:
\(M = \frac{x_1 + x_2 + ... + x_n}{N}\)
In this case, we have the set:
{-5.3F, 3.6F, 6.7F, 0F, 10F, -4.3F, X}
Where X is Sunday's temperature.
So we have a set of 7 values, and we know that the mean of this set is 1.2F
Then we have the equation:
\(1.2F = \frac{-5.3F + 3.6F + 6.7F + 0F + 10F - 4.3F + X}{7}\)
If we multiply both sides by 7, we get:
\(1.2F*7 = 8.4F =-5.3F + 3.6F + 6.7F + 0F + 10F - 4.3F + X\)
Now we can just solve this for X
8.4F + 5.3F - 3.6F - 6.7F - 10F + 4.3F = X
-2.3F = X
The temperature for Sunday was -2.3F
do the ratios 4/5 and 12/20 form a proportion?
Answer:
No. They are not in proportion
Step-by-step explanation:
\(\sf \dfrac{4}{5} \ \text{is in the simplest form}\)
\(\sf \text{Simplest form of $\dfrac{12}{20}$} = \dfrac{12 \div 4}{20 \div 4}=\dfrac{3}{5}\)
So, they are not in proportion
The diagram shows the triangle PQR.
PQ = 3xcm
PR = 4x cm
Angle QPR = 30°
The area of triangle PQR = A cm².
Show that x = √ a/3
By using the equation for the area of the triangle, the variable x is equal to √(A / 3), where A is the area of the triangle.
How to determine the value of a variable associated to a triangle
The diagram shows a triangle, whose variable x has to be found by geometric and trigonometric properties. The complete procedure is shown below. First, find the length of the side QR by the law of cosine:
QR² = PR² + PQ² - 2 · PR · PQ · cos P
QR² = 16 · x² + 9 · x² - 24 · x² · cos 30°
QR² = 25 · x² - 12√3 · x²
QR² = (25 - 12√3) · x²
QR = √(25 - 12√3) · x
Second, find the value of the variable x in the area formula for the triangle:
A = (1 / 2) · PR · PQ · sin P
A = (1 / 4) · (4 · x) · (3 · x)
A = 3 · x²
x = √(A / 3)
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a rectangular storage container without a lid is to have a volume of 10 m3. the length of its base is twice the width. material for the base costs $15 per square meter. material for the sides costs $9 per square meter. let w denote the width of the base.
The total cost is $245.31.
Given,
Volume = 10\(m^{3}\)
Width = w
Length = 2w
Base area = Length x Width = \(2w^{2}\)
Cost of base = $15
Cost of sides = $9
Since the volume is 10\(m^{3}\),
Volume = Base Area x Height
Height = \(\frac{10}{2w^{2} }\) = \(\frac{5}{w^{2} }\)
Cost of making such a container:
Cost of base = \(2w^{2}\) x 15 = $\(30w^{2}\)
Cost of sides = [(2 x 2w x \(\frac{5}{w^{2} }\)) + (2 x w x \(\frac{5}{w^{2} }\))] x $9 = $\(\frac{270}{w}\)
Overall Cost = Cost of Base + Cost of Sides
f(x) = \(30w^{2} + \frac{270}{w}\) = \(30(w^{2} + \frac{9}{w})\)
To get the minimum cost, we will have to find the derivative of f(x) and equate it to zero.
d(f(x))/dx = 0
\(2w - \frac{9}{w^{2} } = 0\\w^{3} = 4.5 \\w = 1.651m\)
Putting the value of w in f(x),
f(x) = $245.31 (after calculations)
Therefore, the final answer is $245.31.
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A student gets 9 out of 15 problems correct on a homework assignment. What percent of the assignment did the student get incorrect? Enter your answer in the box.
Answer:
If he got 9 out of 15 correct, he got 6 problems incorrect.
6/15 is incorrect
6/15 × 100
40 % is your answer
Answer:
40% are incorrect
Step-by-step explanation:
If 9 are correct then 15-9 = 6
6 are incorrect
6/15 = 2/5
Change to a percent
2/5 *20/20 = 40/100
Percent means out of 100
40% are incorrect
Traveling at a speed of 12 mph, Jen biked home in 20 minutes. What was Jim's speed
if he biked the same distance in 15 minutes?
The speed of Jim if he biked the same distance in 15 minutes is 16 mph
What is speed ?Speed is the distance covered at a particular time. Therefore,
speed = distance / time
The distance in the first journey can be calculated as follows:
speed = 12 mph
time = 20 minutes = 0.3333 hours
12 = x / 0.333
distance = 0.333 × 12 = 3.9996 miles
Therefore, the speed of Jim if he biked the same distance in 15 minutes can be calculated as follows:
15 minutes = 0.25 hours
speed = 3.9996 / 0.25
speed = 15.9984
speed = 16 mph
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Answer:
The speed of Jim if he biked the same distance faster than Jen. In 15 minutes is 16 mph is Jim’s speed
Step-by-step explanation:
please help me.... asap (no links)
Answer:
3
Step-by-step explanation:
they give you all the possible outcomes, all they are asking for is how many of those outcomes have only one head in it
Answer:
3; HTT, THT, TTH
H means heads, T means tails, therefore there are 3 pairs with 1 letter H.
The following information should be taken into consideration to answer this item: If the scores of 400 subjects in a psychological scale have been distributed normally with the mean score of 100 and standard deviation of 15: The Z score that equivalent to the raw score 92.5 is.... A.+ 0.5 B. -1.25 C.-0.5 D.-0.25
The Z score that is equivalent to the raw score 92.5 is B. -1.25.
A Z score represents the number of standard deviations a raw score is from the mean in a normal distribution. To calculate the Z score, we use the formula: Z = (X - μ) / σ, where X is the raw score, μ is the mean, and σ is the standard deviation.
Given that the mean score is 100 and the standard deviation is 15, we can calculate the Z score for the raw score 92.5 as follows:
Z = (92.5 - 100) / 15
Z = -7.5 / 15
Z = -0.5
Therefore, the Z score that is equivalent to the raw score 92.5 is -0.5.
The Z score is a useful measure in statistics that allows us to standardize and compare data points across different distributions. It helps us understand the relative position of a data point within a distribution and determine how unusual or typical that data point is compared to others. By calculating the Z score, we can easily determine the percentage of data points that fall below or above a particular value in a normal distribution, which aids in making statistical inferences and drawing conclusions.
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