The sample variance is 10 and the standard deviation is 3.2.
How to find the sample variance and standard deviation?Given data: 17, 10, 4, 8, 11
The sample size, n = 5
Mean (m) = ∑x / n
m = (17 + 10 + 4 +8 + 11)/5
m = 50/5
m = 10
x x-m (x- m)²
17 17-10 = 7 49
10 10-10 = 0 0
4 4-10 = -6 36
8 8 - 10 = -2 4
11 11 - 10 = 1 1
90
∑(x- m)² = 90
Sample variance, s² = ∑(x-x)² /(n-1)
Sample variance, s² = 90/(10 - 1)
= 90/9
= 10
Standard deviation (S) = √variance
Standard deviation (S) = √10 = 3.2
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Question 3 of 10
Classify the following triangle. Check all that apply.
11.9 , 7,6,11.9
A.Scalere
B. Right
C. Isosceles
D. Equilateral
E. Obtuse
F .Acute
Answer:
Step-by-step explanation:
An isosceles triangle is a one that has two of its sides equal. Hence option (c) is correct because here two sides have length of 11.9.
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Peter expected to earn $425 in a week. In fact he earned $500. What was the percent of error?
The percent of error is 17.65% .
The percent of error is a way to measure the difference between the expected value and the actual value. In this case, Peter expected to earn $425 in a week but he actually earned $500.
So, the difference between the expected value and the actual value is $75. The percent of error is calculated by taking the difference between the actual value and the expected value, dividing that by the expected value, and multiplying the result by 100%.
In this case, (500-425)/425*100% = 17.65%, which means that Peter's actual earnings were 17.65% higher than what he expected to earn.
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A center lane with solid and broken yellow lines that is used by vehicles making left turns in both directions is called a:
A) Two-way Left-Turn lane.
B) Median strip with driving allowed.
C) Shared passing lane.
D) None of these answers.
The center lane with solid and broken yellow lines used by vehicles turning left in both directions is called a Two-way Left-Turn lane. The correct option A. This lane is marked as two solid yellow lines on either side and broken yellow lines in the middle.
What is a two-way left-turn lane?A two-way left-turn lane is a center lane with solid and broken yellow lines used by vehicles making left turns in both directions. It is also known as a median lane, a center left-turn lane, and a center two-way left-turn lane.
This lane is marked as two solid yellow lines on either side and broken yellow lines in the middle.Only left-turning traffic should use the lane. It's illegal to drive in this lane for more than 300 feet, pass other cars in the lane, or turn left from other lanes when a two-way left-turn lane is present. It is used in order to lessen the amount of crashes and lower traffic congestion in both directions, hence it helps in making the traffic flow smoothly.
A center lane with solid and broken yellow lines used by vehicles turning left in both directions is known as a Two-way Left-Turn lane.
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What is 943,158,670.3491 rounded to the 100 millions? PLEASE ANSWER ASAP!
Answer:
I believe the answer is 943,158,670.349
Step-by-step explanation:
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
ALGEBRA II
Find the angle measured to the nearest degree
The measure of the angle X for the trigonometric ratio of sine X equal to 0.7547 is 49° to the nearest degree.
What are trigonometric ratiosThe trigonometric ratios involves the relationship of an angle of a right-angled triangle to ratios of two side lengths. Basic trigonometric ratios includes; sine cosine and tangent.
For the sine of X equal to 0.7547, we can make x the subject by finding the sine inverse of 0.7547 as follows:
sin X = 0.7547
X = sin⁻¹(0.7547)
X = 48.9992
Therefore, the measure of the angle X for the trigonometric ratio of sine X equal to 0.7547 is 49° to the nearest degree.
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the set of natural numbers is closed under what operations
The set of natural numbers is closed under addition and multiplication.
The set of natural numbers is closed under the operations of addition and multiplication. This means that when you add or multiply two natural numbers, the result will always be a natural number.
For addition:
If a and b are natural numbers, then a + b is also a natural number.
For multiplication:
If a and b are natural numbers, then a * b is also a natural number.
It's important to note that the set of natural numbers does not include the operation of subtraction, as subtracting one natural number from another may result in a non-natural (negative) number, which is not part of the set. Similarly, division is not closed under the set of natural numbers, as dividing one natural number by another may result in a non-natural (fractional) number.
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The number of 22 cent stamps, n, can be found by solving the equation: 22n + 17(20 − n) = 400
How many 22 cent stamps are in the book?
Answer:
12
Step-by-step explanation:
22n + 17(20 - n) = 400 ← distribute parenthesis and simplify left side
22n + 340 - 17n = 400
5n + 340 = 400 ( subtract 340 from both sides )
5n = 60 ( divide both sides by 5 )
n = 12
there are 12, 22 cent stamps in the book
(1 point) check by differentiation that y=5cost 6sint is a solution to y′′ y=0 by finding the terms in the sum: y′′= y= so y′′ y=
y = 5cos(t) + 6sin(t) is indeed a solution to the differential equation y'' + y = 0.
How to check the differentiationFirst derivative of y:
y' = -5sin(t) + 6cos(t)
Second derivative of y:
y'' = (-5cos(t)) + (-6sin(t))
= -5cos(t) - 6sin(t)
Now, we substitute the second derivative y'' and the original function y into the differential equation y'' + y = 0:
-5cos(t) - 6sin(t) + 5cos(t) + 6sin(t) = 0
We can see that the terms involving cos(t) and sin(t) cancel each other out, resulting in 0. Therefore, when we substitute y'' and y into the differential equation, the equation holds true: y'' + y = 0
Hence, y = 5cos(t) + 6sin(t) is indeed a solution to the differential equation y'' + y = 0.
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Grain moisture is a characteristic of grain that affects the price paid for the grain. A random sample of 28 loads of corn was evaluated for moisture as a percent of the total weight. A different random sample of 28 loads of soybeans was also evaluated for moisture. The data is displayed in the dot plots below. Based on the dot plots, which of the following is greater for the percent moisture of corn than the percent moisture of soybeans?
Answer: The Range
The range on the corn has more spread than the soybeans.
Corey bought 2 1/2 liters of paint for 60$. What was the cost per liter of paint.
Answer: $24 per liter
Answer:
I think its 24$
Step-by-step explanation:
Divide 60 by 2.5
Calculate ������(������) when ������(������)=⟨6������−1,−1,3������⟩.
Answer:
3.7
Step-by-step explanation:
Question 2
Use your two-way frequency table to determine this conditional probability:
P(person will vote for the Republican candidate person is a Democrat).
Answer:
P(person will vote for the Republican candidate|person is a Republican)
= number of people who will vote Republican and are Republicanstotal number of Republicans
= 142160=0.888
Step-by-step explanation:
Answer:
Step-by-step explanation:
Trust bro
Allan is paid an annual salary of $30,000. Find Allan’s monthly salary.
Answer:
$30,000 divided by 12=$2500
Step-by-step explanation:
Answer:
$2,500
Step-by-step explanation:
30,000/12=2500
MODELING REAL LIFE A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet. About how many gallons of hazardous waste can the container hold? Round your answer to the nearest whole number. $\left(1\ \text{ft}^3\approx7.5\ \text{gal}\right)$
The container can hold $$
gallons.
The amount of waste a cylinder can hold nearest to the whole number is 3 cubic feet.
We have,
A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
A cylindrical hazardous waste container has a diameter of 1.5 feet and a height of 1.6 feet.
The amount of waste a cylinder can hold will be given by the volume of the cylinder.
The volume of the cylinder will be
V= π/4 * d²h
We have
d = 1.5 ft
h = 1.6 ft
Then
Volume =π/4 * 1.5² *1.6
= 2.82 ft^3
=3ft^3
Hence, The amount of waste a cylinder can hold nearest to the whole number is 3 cubic feet.
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A 3 ft tree casts a 10 ft. shadow. How many feet long is the shadow of a 26 ft tall tree at the same time? If necessary, round to the nearest tenth.
Answer:
8 feet
Step-by-step explanation:
It is given that, a 3 ft tree casts a 10 ft. shadow. It means that 1 ft long shadow will cast by \(\dfrac{3}{10}\) feet long tree.
Let 26 ft tall tree will cast x feet long shadow. To find it using unitary method we get :
\(x=\dfrac{3}{10}\times 26\\\\x=7.8\ \text{feet}\)
or
x = 8 feet
So, 8 feet long is the shadow of a 26 feet tall tree.
PLS ANSWER PLSSSS. THERES AN ATTACHMENT.
Answer:
40
Step-by-step explanation:
I need help, the question is in image
Answer:
yes
Step-by-step explanation:
because the lines show that those two sides are congruent, and because there are two congruent sides, then the third has to be the same to connect the triangles
Answer:
Yes.
Step-by-step explanation:
They have equal angles and line lengths
The human resources department of the Mean Corporation would like to estimate the size of the annual salary that they should offer to university graduates. The CEO of the Mean Corporation has suggested that the salary offered (W) should be calculated based on the Grade Point Average (G) of a student. Based on a random sample of university graduates, the human resources department has calculated the mean salary offered to university graduates to be W and the mean Grade Point Average of university graduates to be G. The Mean Corporation will carry out a regression analysis to investigate the relationship between salary and Grade Point Average. Select the dependent variable in the regression analysis that will be conducted:___________
The dependent variable in the regression analysis that will be conducted is the salary offered (W) to university graduates.
It is considered the dependent variable because it is the variable that is predicted or explained by the Grade Point Average (G), which is the independent variable. The regression analysis will help to determine how much the salary offered varies with changes in the Grade Point Average, and the mathematical equation derived from the analysis will be used to predict the salary offered based on a given Grade Point Average.
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helpppppppppppp meeeeeeeeeeee pleaseee!!!
Based on the vertical line test, y is not a function of x in the given graph because the line drawn intercepts the graph at two points.
What is the Vertical Line Test?The vertical line test is used to test whether a relation that is graphed is a function or not.
To conduct the vertical line test, a vertical line is drawn to cut through the graph that represents a relation. If the line intersects the graph at exactly one point, then it is a function. If the line intersects the graph at more than one point, then the graph does not represent a function.
The image attached below shows the vertical line test. The line intercepts the graph at two points, therefore, the relation that is represented by the graph is not a function.
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Product of 6 1 5 x 79
Answer:
615×79=48,585
Step-by-step explanation:
hope it helps
pls mark as brainliest
i want to open a grocery store in jersey city, and want to know customer needs by firstly doing a survey on people who are living in jc. so i decide to interview potential customers by going to one shoprite store from monday to friday 9am-3pm, and ask them what products they usually buy and how often they go to grocery stores. will the data i collected have any issue/bias? if yes, please list all potential issues? if no, do you think the data is enough to help me open a grocery store and what else should i collect?
Yes, the data collected from interviewing customers at one ShopRite store in Jersey City from Monday to Friday, 9 am-3 pm, could have some issues and biases.
Potential issues include:
1. Limited sample: By conducting interviews only at one store, the percentage of responses will not provide a comprehesive view of the customer base in Jersey City.
2. Time bias: Surveying customers only between 9 am and 3 pm may exclude individuals who shop outside these hours, leading to an incomplete picture of shopping habits.
3. Location bias: ShopRite customers may not accurately represent the diverse needs and preferences of all Jersey City residents.
4. Self-reported data: Customers may not accurately recall their shopping habits, leading to biased responses.
While the data collected can provide some insights, it may not be sufficient to open a grocery store. You should consider expanding your survey to multiple locations and times, including weekends, and collecting demographic information to better understand the diverse needs of Jersey City residents. Additionally, researching market trends, competitors, and successful grocery store models in similar areas can help inform your business plan.
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the question is in the picture
After getting new carpet installed, Antonio noticed that the door would not close. He decided to trim 1/16 of an inch off the bottom of the door to see if it would help. After doing this three more times, the door finally closed. If the door was originally 84 5/8 inches tall, how tall was it after he trimmed it?
After he trimmed it, it was \(84\frac{3}{8}\) inches tall. This can be solved using expression.
What is an expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Any one of the following mathematical operations can be used i.e. addition, subtraction, multiplication, or division.
There are three different expression types:
There is just one arithmetic value that an arithmetic expression may produce.A character expression evaluates to just one character value.One logical value is produced by the evaluation of a logical or relational statement.The expression becomes:
= \(84\frac{5}{8} - [{4 * (\frac{1}{16})]\)
= \(84\frac{5}{8} - [\frac{1}{4}]\)
= \(84\frac{3}{8}\)
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1/2(4x+5)=9x-12(x-1)
Answer: x=19/10
Step-by-step explanation:
What technologies are necessary to implement and or support the use of blockchain technology?
Combining three popular technologies, blockchain: keys for cryptography. a network of peers that uses a shared ledger. a method of computation for storing exchanges and records.
Blockchain technology sets itself apart from conventional networks by offering transparency and integrity.
Integrity: When a user retrieves data from a network, he or she may be sure that the data is accurate and unaffected.
Transparency: Every user on the network may confirm any modifications made to the blockchain technology.
The read, write, create, and update operations to databases are provided by the traditional network, however the blockchain technology only enables users to attach the structure and already stored data cannot be changed.
When a new transaction is created, the blockchain makes sure to record it and perform transaction validation.
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A recipe uses 3 cups of milk to make 9 servings. If the same amount of milk is used for each serving, how many servings can be made from two pints?.
The milk will be served in cups to make it easier for them to consume, we are switching from the larger unit (i.e. quarts) to the smaller unit (i.e. cups).
What is the difference between quart and cups?4 cups or 2 pints are equivalent to one quart (qt). We can switch to utilizing gallons if we still need extra liquid. 16 cups, 8 pints, or 4 quarts make up a gallon (gal). It is a measurement of the largest liquid.
Servings per cup are divided at a rate of 9 servings to 3 cups, or 3 servings per cup. In a quart, there are 4 cups. In 2 quarts, there are 8 cups. In 4 quarts, there are 16 cups.
Servings per cup are divided at a rate of 9 servings to 3 cups, or 3 servings per cup.
1 quart = 4 cups
2 quarts = 2 × 4 quarts = 8 cups
3 servings/cup × 8 cups = 24 servings
The complete question is:
A recipe uses 3 cups of milk to make 9 servings. If the same amount of milk is used for each serving, how many servings can be made from two quarts?
1 gallon = 4 quarts
1 quart = 2 pints
1 pint = 2 cups
1 cup = 8 fluid ounces
Before you try that problem, answer the question below.
How many cups will you need to find the number of servings for?
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Please help I have searched this question and have not found it yet so please help me answer this, I am bad at math
You want to go to Africa for a photo safari. You need $2,800. You can get $1,000 from your savings and family and you can save $30 per week. How many weeks will it take you to save up the money for the trip?
A. 127 weeks
B. 60 weeks
C. 93 weeks
D. 84 weeks
Please select the best answer from the choices provide
Answer:
B 60
Step-by-step explanation:
because 30x60=1800 and since you already have 1k you add the 1800 to get 2800.
in problems 1–8, classify the equation as separable, linear, exact, or none of these. notice that some equations may have more than one classification. 1. 1x2 y x4 cos x2 dx - x3 dy = 0
The given equation dy/dx - (1/x)y = (xcosx)/x³ is linear with y as the dependent variable.
Given differential equation is (x²y+x⁴ cosx)dx -x³dy = 0
The given equation can indeed be classified as linear with y as the dependent variable.
A linear equation with respect to the dependent variable y is of the form:
dy/dx + P(x)y = Q(x),
where P(x) and Q(x) are functions of x. In this case, we have:
(x²y + x⁴cosx)dx - x³dy = 0.
By rearranging the terms, we can write it as:
x²ydx - x³dy + x⁴cosxdx = 0.
Now, we can rewrite the equation in the form:
dy/dx + (-x²/x³)y = x⁴cosx/x³.
Simplifying further, we get:
dy/dx - (1/x)y = (xcosx)/x³.
As you can see, the equation is in the form of a linear equation with respect to y. The coefficient of y, (-1/x), is a function of x, while the right-hand side (RHS) is also a function of x. Therefore, the given equation is linear with y as the dependent variable.
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can someone helpp me
if tanA=squareroot3-1/squareroot3+1,prove that cosA=squareroot3+1/2squareroot2.
The exact value of the trigonometric function is cos θ = (√3 + 1) / 2√2.
How to find the exact value of a trigonometric function
In this problem we find the exact value of a trigonometric function, from which we need to determine the exact value of another trigonometric function. This can be done by using definitions of trigonometric functions:
tan θ = y / x
cos θ = x / √(x² + y²)
Where:
x - Leg adjacent to an angle.y - Leg opposite to an angle.θ - Angle.If we know that y = √3 - 1 and x = √3 + 1, then the exact value of the other trigonometric function is:
cos θ = (√3 + 1) / √[(√3 + 1)² + (√3 - 1)²]
cos θ = (√3 + 1) / √(3 + 2√3 + 1 + 3 - 2√3 + 1)
cos θ = (√3 + 1) / √8
cos θ = (√3 + 1) / 2√2
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