Answer:
x = 8
Step-by-step explanation:
Recall that the interior angles of a triangle always add up to 180 degrees.
Therefore: 77 + 50 + 7X - 3 = 180, or:
77 + 7X - 3 = 130, or:
7x = 56
Dividing both sides by 7 yields x = 8
plssss help this is due in 10 min
A researcher interested in vocabulary development obtains a sample of twenty 3-year old children to participate in a research study. The average (i.e., mean) score for the group of 20 is an example of a(n)___________.
a) sample
b) statistic
c) population
d) parameter
Answer: b) statistic
Step-by-step explanation:
Population = A large groups of individuals sharing the same or similar characteristic by the point og study.Sample = It is a subset of population .Parameter = It is measure of characteristic in population.Statistic = It is measure of characteristic in sample.Since the average score was taken by the group of 20 which is nothing but the sample.
That means, the average score is an example of statistic.
Hence, the correct option is b) statistic .
if the volume of a cube is 27cm, find one of its sides
Answer: 3cm
Step-by-step explanation:
The volume of a cube formula is x^3 where x is any of the sides. All sides are the same length because it is a cube. If x^3=27 then x must equal 3 as 3x3x3=27.
Answer:
3
Step-by-step explanation:
Since you know that the shape is a cube, that means that all the sides are the same length.
The factors of 27 are 1 & 27, 3 & 9.
1 & 27 won't work for this problem so you use 3 & 9.
9 is divisible by 3 so what you would get is 3 x 3 x 3 which then equals 27.
a croissant shop has plain croissants, cherry croissants, chocolate croissants, almond croissants, apple croissants, and broccoli croissants. how many ways are there to choose 16 croissants?
There are approximately 63,063 ways to choose 16 croissants from the selection of 6 different types offered by the croissant shop.
To find the number of ways to choose 16 croissants from a selection of 6 different types, we can use the concept of combinations.
The formula for combinations is:
nCr = n! / (r! * (n-r)!)
where n is the total number of items to choose from, and r is the number of items to choose.
In this case, there are 6 different types of croissants, and we want to choose 16 of them. Therefore, we can calculate the number of ways to choose 16 croissants as follows:
6C16 = 6! / (16! * (6-16)!) = 6! / (16! * (-10)!) = 6! / (16! * 10!) ≈ 63,063
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Sewing patterns recommend buying extra fabric in case of mistakes.
Jessica bought 8 yards of fabric, plus 15% extra fabric. Derek bought 4
yards of fabric, plus 20% extra. Who bought more fabric? How much
more?
Jessica bought 4.4 yards of fabric more.
What is the percentage?
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol %.
Jessica :
8 yards of fabric
15% of 8 = (15/100)*8 = 1.2
Total fabric = 8 + 1.2 = 9.2 yards
Derek :
4 yards of fabric
20% of 4 = (20/100)*4 = 0.8
Total fabric = 4 + 0.8 = 4.8 yards
Jessica bought more fabric .
9.2 - 4.8 = 4.4 yards of fabric more
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focus groups of 12 people are randomly selected to discuss products of the yummy company. it is determined that the mean number (per group) who recognize the yummy brand name is 9.3, and the standard deviation is 0.99. would it be unusual to randomly select 12 people and find that fewer than 5 recognize the yummy brand name?
To determine if it would be unusual to randomly select 12 people and find that fewer than 5 recognize the Yummy brand name, we can use the concept of standard deviation and z-scores.
First, we need to calculate the z-score, which measures how many standard deviations an observation is from the mean. The formula for calculating the z-score is:
z = (x - μ) / σ
where
x is the observed value (in this case, 5)μ is the mean (9.3)σ is the standard deviation (0.99)Calculating the z-score:z = (5 - 9.3) / 0.99
z = -4.394
Next, we can consult a standard normal distribution table or use statistical software to find the corresponding percentile associated with the z-score. This percentile represents the probability of randomly selecting a group of 12 people with fewer than 5 recognizing the Yummy brand name.
In this case, the z-score of -4.394 corresponds to an extremely low percentile, close to 0.
The exact probability can be determined using the z-score and the standard normal distribution table.
Since the probability is extremely low, it would be considered unusual to randomly select 12 people and find that fewer than 5 recognize the Yummy brand name.
However, it's important to note that the definition of "unusual" may vary depending on the specific criteria or threshold chosen.
In statistical terms, a common threshold for defining unusual events is a significance level of 5% (or 0.05). If the probability of observing the event is lower than the significance level, it is considered unusual.
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The average age of 6 men is 35 years and the average age of four of them is 32 year.
Find the ages of the remaining two ment one is 3 years older than the other.
Let's denote the ages of the two remaining men as x and x + 3 (since one is 3 years older than the other).
We know that the average age of 6 men is 35 years. So, the sum of their ages is 6 * 35 = 210 years.
We also know that the average age of four of them is 32 years. So, the sum of their ages is 4 * 32 = 128 years.
To find the sum of the ages of the two remaining men, we subtract the sum of the ages of the four men from the sum of the ages of all six men:
210 - 128 = 82 years.
Now, we can set up an equation to solve for the ages of the remaining two men:
x + (x + 3) = 82.
Combining like terms, we get:
2x + 3 = 82.
Subtracting 3 from both sides:
2x = 79.
Dividing both sides by 2:
x = 39.5.
So, one of the remaining men is 39.5 years old, and the other is 39.5 + 3 = 42.5 years old.
look at image (pls help)
Answer: b
Step-by-step explanation: longer on the x axis shows more time but shorter on the y shows less distance meaning he walked slower in the beginning and faster in the end. the graph is nonlinear
Answer y is always a step behind x b4 encowls a4 so and a4 equal d4 hope this helps:}
Step-by-step explanation:
x encowls d2
The perimeter, P, of a rectangle is equal to twice the sum of the length and width of the rectangle. Determine the width of a rectangle with a perimeter of 34 inches and a length of 5 inches. In your final answer, include all necessary calculations.
Answer:
12 inches
Step-by-step explanation:
5 + 5 = 10
34 - 10 = 24
24 ÷ 2 = 12
Therefore, the answer is 12 inches.
All chiral D-sugars rotate plane-polarized: Group of answer choices clockwise. Counterclockwise. 20. 0 degrees. In a direction that cannot be predicted but must be determined experimentally. Since they are optically inactive
All chiral D-sugars rotate plane-polarized in a direction that cannot be predicted but must be determined experimentally. So, option D is correct.
Chiral D-sugar is a form of molecule with a chiral center that is a member of the carbohydrate class.
Because they are chiral D-sugars, it is impossible to determine which way they will rotate in advance.
The molecule's particular arrangement determines the direction of spin, and rotational intensity is measured in degrees. When both enantiomers of a chiral D-sugar are present in equal amounts (i.e., when it is a racemic combination), the sugar is optically inactive and does not rotate plane-polarized light.
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The complete question is:
Fill in the blanks,
All chiral D-sugars rotate plane-polarized _______________: (Group of answer choices)
a) clockwise
b) counterclockwise
c) +20.0 degrees
d) in a direction that cannot be predicted but must be determined experimentally
e) since they are optically inactive.
Melissa can buy an 8 pound bag of dog food for $7.20. Which bag has an equivalent cost?
Let V = R². For (u₁, U2), (v₁, v₂) ∈ V and a ∈ R define vector addition by (U₁, U₂) ⊕ (V₁, V2) := (u₁ + v₁ + 3, u2+ v2 − 3) and scalar multiplication by a☉ (u₁, U₂) = (au1₁ + 3a − 3, au₂ − 3a + 3). It can be shown that (V, ⊕,☉) is a vector space over the scalar field R. Find the following: the sum: (6,-5)⊕(-2,-8)=
the scalar multiple: -9☉(6,-5) = the zero vector: 0v = the additive inverse of (x, y): (x, y) =
In the vector space (V, ⊕, ☉), where V = R², the sum of (6,-5)⊕(-2,-8) is (7,-16), the scalar multiple of -9☉(6,-5) is (-51,42), the zero vector is (3,3), and the additive inverse of (x, y) is (-x-3, -y+3).
To find the sum of (6,-5)⊕(-2,-8), we add the corresponding components of the vectors and apply the defined addition operation:
(6,-5)⊕(-2,-8) = (6 + (-2) + 3, -5 + (-8) - 3) = (7, -16)
Next, to find the scalar multiple of -9☉(6,-5), we multiply each component of the vector by -9 and apply the defined scalar multiplication operation:
-9☉(6,-5) = (-9(6) + 3(-9) - 3, -9(-5) - 3(-9) + 3) = (-51, 42)
The zero vector, denoted as 0v, is obtained by applying the addition operation with the additive identity (0,0) to any vector:
0v = (0,0)⊕(6,-5) = (0 + 6 + 3, 0 - 5 - 3) = (3,3)
Finally, to find the additive inverse of (x, y), we negate each component of the vector and apply the addition operation with the additive identity:
Additive inverse of (x, y) = (-x - 3, -y + 3)
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25 POINTS!!! simplify A=(1/2)(5x-2y)(4x+3y) please help and do step by step
Answer:
A= 10x^2 + 7/ 2 xy − 3y^2
Step-by-step explanation:
( 1/ 2) (5x−2y))(4x+3y)
= ( 1/ 2(5x−2y)) (4x+3y)
= ( 1/ 2 (5x−2y)) (4x) + ( 1/ 2 (5x−2y)) (3y)
= 10x^2 − 4xy + 15/ 2 xy − 3y^2
= 10x^2 + 7/ 2 xy − 3y^2
Solve −2|m|= −10.
What is m?
Answer:
|m| : -5Step-by-step explanation:
{ -2|m|= -10= |m| : -5 }what is 1/5 plus 1/10
Step-by-step explanation:
hope it helps you and give me a brainliest
Step-by-step explanation:
\( = \frac{1}{5} + \frac{1}{10} \\ \)
Now make the denominator same...
\( = \frac{1}{5} \times \frac{2}{2} + \frac{1}{10} \\ \)
\( = \frac{2}{10} + \frac{1}{10} \\ \)
\( = \frac{3}{10} \\ \)
:)
..
sin∅ (csc∅ -sin∅ ) simplify
Answer:
1+sin²Θ
Step-by-step explanation:
sin\(\alpha\)(cosec\(\alpha\)-sin\(\alpha\))
=sin\(\alpha\)( \(\frac{1}{sin \alpha }+sin\alpha\))
\(=sin\alpha (\frac{1+sin^{2} \alpha }{sin\alpha } )\\1+sin^{2} \alpha\)
What i the equation of a line that i parallel to the line y =2x 7 and pae through the point -2,4
The equation of a line y=2x+8.
The equation of a straight line can be represented in the slope-intercept form, y = mx + c
Where c = intercept
Slope, m =change in the value of y on the vertical axis/change in the value of x on the horizontal axis
Looking at the given line,
y = 2x + 7
Compared with the slope-intercept equation,
Slope, m = 2
If a line is parallel to another line, it means that both lines have equal or the same slope. This means that the slope of the line passing through the point (-2, 4) is 2
Substituting m= 2, y = 4 and x = -2 into the equation, y = mx + c , it becomes
4 = 2 × - 2 + c
4 = - 4 + c
c = 4 + 4 = 8
The equation becomes y=2x+8.
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To prepare for a bake-off, Sara used 780 grams of flour each day for 4 weeks.
How many kilograms did Sara use in those 4 weeks?
Answer:
21.8 kilograms
Step-by-step explanation:
If Sara used 780 each day then for 4 weeks she used,
4 weeks = 28 days
\(780 \times 28\)
=21,840 grams
Therefore in kilograms, Sara used
\(21840 \div 1000\)
=21.8 kilograms
Which equation has the solution x = 9? Select each correct answer.
3x + 2 = 25
24−2x=13
4 + 5x = 18
x3+7=8
2x−3=15
81x−3=6
HELP IM DOING A MATH TEST PLSSSS 25 PTS
There are 180 students going on a class field trip. Of those students, 40% are boys. How many students on the field trip are boys?
Answer:72 are boys.
Step-by-step explanation:
40%of 180 is 72.
Answer:
72 boys
Step-by-step explanation:
I got this right in a test hope this helps!!!
The new runway your client is pouring on the east side of the estate is to the ranch house is 3.75 miles long, and covers a total of 5.6 acres, which means the runway is feet wide.
The width of the runway is approximately 28.3 feet. The length of the runway in feet is Length = 3.75 miles * 5,280 feet/mile
The new runway being constructed on the east side of the estate, which extends to the ranch house, is 3.75 miles long and covers a total area of 5.6 acres. To determine the width of the runway in feet, we can use the following information:
1 acre = 43,560 square feet
First, let's convert the length of the runway from miles to feet:
1 mile = 5,280 feet
Therefore, the length of the runway in feet is:
Length = 3.75 miles * 5,280 feet/mile
Next, let's calculate the width of the runway using the area and length:
Area = Length * Width
Since we are given the area in acres, we need to convert it to square feet:
Area = 5.6 acres * 43,560 square feet/acre
Now, we can solve for the width:
Width = Area / Length
Substituting the values we have:
Width = (5.6 acres * 43,560 square feet/acre) / (3.75 miles * 5,280 feet/mile)
Simplifying the expression:
Width = (5.6 * 43,560) / (3.75 * 5,280) feet
Calculating the value:
Width ≈ 560,784 / 19,800 feet
Width ≈ 28.3 feet
Therefore, the width of the runway is approximately **28.3 feet**.
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which of the following is true of the number of hours of daylight? group of answer choices the number of hours of daylight varies depending on the latitude of the observer. the number of hours of daylight varies the least at higher latitudes. the number of hours of daylight varies the most along the equator. the number of hours of daylight includes the hours between dawn and twilight, not just the hours from sunrise to sunset.
The statement that is true about the number of hours of daylight is: "the number of hours of daylight varies depending on the latitude of the observer."
Hence, option (a) is the correct choice.
Day length will be roughly 12 hours at latitude 0° (the Equator). The Equator region has a steady 12 hour day light all year.
Day duration can be observed to extend to 24 hours or reduce to zero if latitude increases to 80° (polar circles - north or south) (depending on time of year).
The quantity of daylight received by an observer is determined by their latitude and the season.
The number of hours of daylight changes the greatest near the equator, whereas it varies the least towards higher latitudes.
The number of daylight hours covers the hours between dawn and twilight as well as the hours from sunrise to sunset.
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Expand x(4 --3.4y) show FULL work
Answer:
4x - 3.4xy
Step-by-step explanation:
x(4 - 3.4y)
4x - 3.4xy
_____________are the most powerful computers at any given time, but are built especially for assignments that require arithmetic speed.
Supercomputers are the most powerful computers at any given time, but are built especially for assignments that require arithmetic speed.
The supercomputers, which are the most advanced and high-performance computers available, are specifically constructed to handle assignments that demand rapid arithmetic processing.
These machines are optimized for executing complex mathematical operations and simulations, enabling them to tackle problems that require immense computational power.
By harnessing parallel processing, massive memory capacities, and specialized architectures, supercomputers excel in solving scientific, engineering, and research challenges that necessitate exceptional arithmetic speed.
Their capabilities contribute to advancements in various fields, including weather forecasting, molecular modeling, astrophysics, and cryptography.
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Joseph purchased a small condominium for $145,000 when he graduated college in 2000. The value of his condo has been appreciating at a rate of 6.45% each year. He sells his condo in 2015 to move to Europe for his job. About how much is his condo worth when he sells it?
Answer:
its worth 140,287.5
Step-by-step explanation:
$370,299.38
I used a compound interest calculator, seems pretty smart by me to use one for this question.
What is the slope of the line? PLEASE HELP I NEED THE ANSWER FASTTTT❤️
Answer:
I shall help you again the answer is 1/4
Step-by-step explanation:
Use photo math it's useful no need to Say thanks
PLEASE HELP THIS IS DUE IN CLASS TODAY
Hey I dont know that answer but if you download Gaumath and take a picture of the problem the tutors on there will help you for free
Which relation represents a function?
The relation that is a function is (d) the graph
How to determine the relation that is a function?The list of options represents the given parameter
As a general rule;
For a relation to be considered a function, the following must be true:
One x value must not point to several y values
Using the above as a guide, the ordered pair in (a), relation in (b) and table in (c) are not functions
This is because one x value must not point to several y values
However, there are unique values in the graph of (d)
Hence, (d) the graph is a function
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Washington is 44 mi south of lawrence. midland is 63 mi east of lawrence. how far apart are washington and midland? round your answer to the nearest mile. responses 19 mi 19 mi 27 mi 27 mi 77 mi 77 mi 107 mi
Answer:
77 miles
Step-by-step explanation:
Make a diagram like in the attached image.
Solve using the Pythagorean theorem:
\(44^2 + 63^2 = d^2\)
\(1936 + 3969 = d^2\)
\(d^2 = 5905\)
\(\sqrt{d^2} = \sqrt{5905}\)
\(d = \sqrt{5905}\)
d ≈ 77 miles