A recent article published in Berry Weekly reported a probability distribution for the different types of jelly that
individuals prefer. Editors from a competitive magazine, Jammin, conducted their own study to test the
distribution. The editors from Jammin surveyed a random sample of 50 individuals and recorded the observed
counts of individuals for each jelly type. They decided to test Berry Weeklys claim using a chi-square goodness-
of-fit test using Jammin's observed counts compared with the number of expected counts based on the Berry
Weekly data.
Answer:
Step-by-step explanation:
8. What is the value of x in the diagram?
A
E
429
B
49
D
32°C
Answer:
D. \(10^{\circ}\)
Step-by-step explanation:
Let the measure of minor arc \(AE\) be \(\alpha\) and the measure of minor arc \(BD\) be \(\beta\).
Using the secant-secant theorem, \(\frac{\alpha-\beta}{2}=32 \implies \alpha-\beta=64^{\circ}\).
By the inscribed angle theorem, \(\alpha=84^{\circ}\).
Thus, \(\beta=20^{\circ}\).
By the inscribed angle theorem, \(x=10^{\circ}\).
The area of a triangle is 108 square meters. If the height is 12 meters, what is the length of the base?
Answer:
area of triangle = 1/2 b×h
Step-by-step explanation:
108=1/2×b×12
108×2=12b
216/12=b
18=b
Can someone check if it’s correct also help me with the last one
Thanks
The perimeter of triangle ABC = 60 + 20√3 cm
What is perimeter?
The complete length of a shape's edge serves as its perimeter in geometric terms. Adding the lengths of all the sides and edges that surround a form yields its perimeter. It is calculated using linear length units such centimeters, meters, inches, and feet.
In triangle ADB,
sin (30°) = AD/AB
1/2 = ( 10 √3 ) /AB
AB = 20√3
In triangle ABC,
cos (30°) = AB/BC
√3 /2 = 20√3 / BC
BC = 40
tan (30°) = AC/AB
1/√3 = AC/ 20√3
AC = 20
Perimeter of triangle ABC = AB +BC + AC
= 20√3 + 40 + 20
= 60 + 20√3
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What is the ratio of perimeters for two regular pentagons with areas of 32 cm2 and 98 cm??
O 16:49
0 20:35
O 32:98
O 4:7
Answer:
4:7
Step-by-step explanation:
32/98= 16/49 Square root: 16= 4 square root of 49 =7
4:7
Please Help! What's the rule that represents the sequence 13, 27, 41, 55, ...?
Answer:
B
Step-by-step explanation:
an = a+(n-1)d
an=13+(n-1)14
d=14
33 markers cost \$5.79$5.79dollar sign, 5, point, 79. Which equation would help determine the cost of 131313 markers? Choose 1 answer: Choose 1 answer: (Choice A) \dfrac{13}{\$5.79} = \dfrac{x}{3} $5.79 13 = 3 x start fraction, 13, divided by, dollar sign, 5, point, 79, end fraction, equals, start fraction, x, divided by, 3, end fraction A \dfrac{13}{\$5.79} = \dfrac{x}{3} $5.79 13 = 3 x start fraction, 13, divided by, dollar sign, 5, point, 79, end fraction, equals, start fraction, x, divided by, 3, end fraction (Choice B) \dfrac{x}{13} = \dfrac{3}{\$5.79} 13 x = $5.79 3 start fraction, x, divided by, 13, end fraction, equals, start fraction, 3, divided by, dollar sign, 5, point, 79, end fraction B \dfrac{x}{13} = \dfrac{3}{\$5.79} 13 x = $5.79 3 start fraction, x, divided by, 13, end fraction, equals, start fraction, 3, divided by, dollar sign, 5, point, 79, end fraction (Choice C) \dfrac{3}{\$5.79} = \dfrac{13}{x} $5.79 3 = x 13 start fraction, 3, divided by, dollar sign, 5, point, 79, end fraction, equals, start fraction, 13, divided by, x, end fraction C \dfrac{3}{\$5.79} = \dfrac{13}{x} $5.79 3 = x 13 start fraction, 3, divided by, dollar sign, 5, point, 79, end fraction, equals, start fraction, 13, divided by, x, end fraction (Choice D) \dfrac{13}{x} = \dfrac{\$5.79}{3} x 13 = 3 $5.79 start fraction, 13, divided by, x, end fraction, equals, start fraction, dollar sign, 5, point, 79, divided by, 3, end fraction D \dfrac{13}{x} = \dfrac{\$5.79}{3} x 13 = 3 $5.79 start fraction, 13, divided by, x, end fraction, equals, start fraction, dollar sign, 5, point, 79, divided by, 3, end fraction (Choice E) None of the above E None of the above Stuck?Review related articles/videos or use a hint. Report a problem
The cost of 13 markers is $326.17.
We have,
Let x be the cost of one marker.
3 markers cost $5.79.
We can set up a proportion:
3 markers / $5.79 = 1 marker / x
To determine the cost of 13 markers, we can use this proportion and solve for y, which represents the cost of 13 markers:
3 markers / $5.79 = 13 markers / y
Cross-multiplying
3 markers x y = $5.79 x 13 markers
Simplifying:
3y = $75.27
Dividing both sides by 3, we get:
y = $25.09
The equation that helps determine the cost of 13 markers is:
= 13 markers x $25.09 per marker
= $326.17
Thus,
The cost of 13 markers is $326.17.
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please help it's due tomorrow
Answer:
B. -414,720 x⁷y⁶
Step-by-step explanation:
To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.
The binomial theorem states that for an expression of the form (a + b)ⁿ:
\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)
For the expression (2x - 3y²)¹⁰:
a = 2xb = -3y²n = 10Therefore, each term in the expression can be calculated using:
\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)
The 4th term is when r = 3. Therefore:
\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)
So the 4th term of the given expansion is:
\(\boxed{-414720\:x^7y^6}\)
Zoe has 4 cucumbers she grew in her garden. She wants to share them equally among 3 of her neighbors.
How many cucumbers will each neighbor receive?
Use the numbers on the tiles to complete the number sentence.
You may use a number more than once or not at all.
4 divided by 3 = a whole and 3 repeated more than 4 times
(to use the number 4)
:D
Prove that the recurring decimal 0.43333... has the value 13/30
Answer:
0.43ᵣ = 0.1 + 0.33ᵣ = 1/10 + 1/3 = 3/30 + 10/30 = 13/30
The expression 0.43333... is equivalent to the fraction number 13/30. And it is proved below.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
x = 0.43333......
Multiply the equation by 10 on both sides, then we have
10x = 10 × 0.43333......
10x = 4.33333...... ...1
Multiply the equation by 100 on both sides, then we have
100x = 100 × 0.43333......
100x = 43.33333...... ...2
Subtract equation 1 from equation 2, then we have
100x - 10x = 43.3333.... - 4.3333.....
90x = 39
x = 39 / 90
x = 13 / 30
The expression 0.43333... is equivalent to the fraction number 13/30. And it is proved below.
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PLEASE I NEED THE ANSWER ASAP
Answer:
the answer is B
Step-by-step explanation:
Square Root of 105
I need estimation & Process
I do not want 10.246950766 I need the Estimation of it
Answer:
10.25 (4 significant figures)
10.2 (3 significant figures)
hope this helps. :)
please help!! need it fast, will give brainliest!! and pls show work !!
Find the measure of angle AEB
Answer:
An acute angle
Step-by-step explanation:
An acute angle is smaller than an obtuse ad right angle.
hope this helps and hope it was right 'cause I really don't know what you meant. :)
which expression is equivalent to n+n-0.18n
a. 1.18n
b. 1.82n
c. n- 0.18
d. 2n - 0.82
Answer:
Simplifying the expression `n + n - 0.18n`, we get:
n + n - 0.18n = 2n - 0.18n
Therefore, the expression `n + n - 0.18n` is equivalent to `2n - 0.18n`.
Looking at the answer choices:
a. 1.18n
b. 1.82n
c. n- 0.18
d. 2n - 0.82
We can see that choice d is equivalent to the simplified expression `2n - 0.18n`.
Therefore, the answer is d. 2n - 0.82.
Step-by-step explanation:
List the angles in ΔJKL in order from largest to smallest.
HALP PLEASE
A)
∠J, ∠K, ∠L
B)
∠L, ∠J, ∠K
C)
∠K, ∠L, ∠J
D)
∠J, ∠L, ∠K
Answer:
D. Angles J, L, K
Step-by-step explanation:
The sides are given. The largest angle will be opposite from the largest side. The middle-sized angle will be opposite from the middle-suzed side. And the smallest angle will be opposite from the smallest side.
The angles in ΔJKL in order from largest to smallest is ∠J>∠L>∠K.
We need to list the angles in ΔJKL in order from largest to smallest.
What is the triangle inequality theorem?If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side.
Converse: If one angle in a triangle is larger than another angle in a triangle, then the side opposite the larger angle will be longer than the side opposite the smaller angle.
Now, from the ΔJKL:
∠J is the larger angle opposite to the longer side KL.
∠K is the smaller angle opposite to the smallest side KL.
Order from largest to smallest angle is ∠J>∠L>∠K.
Therefore, the angles in ΔJKL in order from largest to smallest is ∠J>∠L>∠K.
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1) A student has a Math placement of Math 111, Math 100 and Math 102+. What course should the student first start with according to their placement results to then continue to get to Math 103E?
The placement results provided, the student should start with Math 100.
The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.
To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.
Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.
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What is the measure of <QPU
Answer:
The correct answer is D. 110 degrees.
Step-by-step explanation:
Angles QPR and QPU are supplementary, which means that their sum adds up to a total of 180 degrees. This fact lets us write the following equation:
<QPU + <QPR = 180
It is given by the diagram that the measure of <QPR is 70, so we can substitute this into the equation.
70 + <QPR = 180
Now, we can simply solve this equation to find the measure of <QPR by subtracting 70 from both sides. This gives us,
<QPR = 110
Therefore, the correct answer is 110 degrees.
Hope this helps!
a significant number of accidents are caused by vehicle equipment failure such as the following except:
A significant number of accidents are caused by vehicle equipment failure such as the following except Operative lights.
Operative lights are also called Surgical lights which are medical equipment devices used to illuminate the operating field during surgery.
Surgical lights are referred to by many names: Operating lights, OR lights, operating room lights, surgical lamps, and surgical light heads.
The primary function of surgical lighting is to illuminate the operative site on and/or within a patient for ideal visualization by OR staff during a surgical procedure.
With proper lighting, operating room staff can achieve a higher level of efficacy during surgery and reduce the risk of complications.
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Write the equation of the line in fully simplified slope-intercept form.
The slope - intercept form of the straight line is -
y = (-2.9)x + 7.
What is slope - intercept form of a straight line?The slope - intercept form of a straight line is given by -
y = mx + c
where -
{m} is slope of line.
{c} is the y - intercept.
Given is the graph of the straight line as shown in the image.
The slope - intercept form of a straight line is given by -
y = mx + c
The [y] intercept is (0, 7). The [x] - intercept is (2.4, 0). We can write the slope as -
m = (0 - 7)/(2.4 - 0)
m = - 7/2.4
m = - 2.9
So, we can write the equation as -
y = mx + c
y = (-2.9)x + 7
Therefore, the slope - intercept form of the straight line is -
y = (-2.9)x + 7
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A speaker claimed that if the number of factories in the country increases by 3% per annum, then even if they all immediately reduced the amount of pollution they produce by 80%, the total annual pollution will be back to its present level in about 50 years. (Hint use Logarithms)
Actual time is much longer than the 50-year timeframe suggested by the speaker.
How to verify the statement?
This claim is based on the assumption that the rate of pollution reduction from each factory remains constant at 80%, and the number of factories increases by 3% per annum.
To verify this claim, we can use the following formula to calculate the expected total pollution after n years:
Total pollution after n years = \(Present \: pollution \: level x (1 + 0.03)^n \times (1 - 0.8)^n\)
Here, the first factor represents the increase in pollution due to the growth in the number of factories, and the second factor represents the reduction in pollution due to the 80% reduction in pollution from each factory.
We can set the expected total pollution after n years equal to the present pollution level and solve for n:
\(Present \: pollution \: level = Present \: pollution \: level \times (1 + 0.03)^n \times (1 - 0.8)^n\)
Simplifying this equation, we get:
\(1 = 1.03^n \times 0.2^n\)
Taking the logarithm of both sides of the equation, we get,
\(n \times log(1.03) + n \times log(0.2) = 0 \\ n \times (log(1.03) + log(0.2)) = 0 \\ n = \frac{0} { (log(1.03) + log(0.2))} \\ n = 271.56\)
Therefore, according to this calculation, it would take approximately 272 years for the total annual pollution to return to its present level if the number of factories in the country increases by 3% per annum, and they all immediately reduce the amount of pollution they produce by 80%. This is much longer than the 50-year timeframe suggested by the speaker.
It is important to note that this calculation assumes that the pollution reduction from each factory remains constant at 80% and does not take into account any other factors that may affect pollution levels, such as changes in technology or regulations. Therefore, this should be considered as a rough estimate and not as an exact prediction.
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Correct question is "A speaker claimed that if the number of factories in the country increases by 3% per annum, then even if they all immediately reduced the amount of pollution they produce by 80%, the total annual pollution will be back to its present level in about 50 years. Verify the statement. (use logarithm)"
Energy is generated from solar and wind power. Solar power must be at most 6units/day or the panels will burn out. Wind must be strong enough to power 1 unit/ day or else the turbines won’t turn. The wind power must be less than twice the solar power less one, or the batteries wont charge properly. Find the optimal production of wind and solar that will maximize overall power output
Efficiency.Compared to solar panels' efficiency range of 18% to 22%, wind turbines typically capture 60% of the energy that flows through them.
What is more efficient wind or solar energy?Efficiency.Compared to solar panels' efficiency range of 18% to 22%, wind turbines typically capture 60% of the energy that flows through them.This proves that a single home wind turbine can generate more electricity than a number of solar panels.By the movement of air in relation to the Earth's surface, wind energy, a type of solar energy, is created.When the Earth's surface is heated unevenly by the Sun, this type of energy is created. The Earth's rotation and surface topography then alter this energy.Photovoltaic (PV) panels or solar radiation-concentrating mirrors are two ways that solar technologies turn sunlight into electrical energy.Electricity can be produced from this energy, which can also be used to store energy thermally or in batteries.To learn more about solar energy refer
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foreign direct investment helps improve the economic situation of a recipient country by increasing —- opportunities in the country that the company invests in.
Foreign direct investment helps improve the economic situation of a recipient country by increasing employment opportunities in the country that the company invests in.
When foreign companies invest in a recipient country, they often establish or expand their operations, which requires hiring local workers. This leads to job creation and reduces unemployment rates in the recipient country.
Increased employment opportunities result in more individuals having access to income and improved standards of living.
Foreign direct investment also contributes to the transfer of technology, knowledge, and skills to the recipient country. Multinational companies often bring advanced technologies, production techniques, and management practices that may not have been available or widely adopted in the recipient country.
Furthermore, foreign direct investment stimulates domestic investment and encourages the growth of local businesses. When foreign companies invest in a recipient country, they often form partnerships or engage in supply chain relationships with local firms.
Overall, foreign direct investment increases employment opportunities, fosters technology transfer, and stimulates domestic investment, all of which contribute to improving the economic situation of a recipient country.
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is this graph a minimum or a maximum pls help
The vertex of the graph is a maximum at (-2, 4)
Calculating if the vertex of the graph a maximum or a minimum?From the question, we have the following parameters that can be used in our computation:
The graph
The graph is a quadratic function
From the graph, we can see that the graph has a maximum value
This maximum value represents the vertex of the graph
And it is located at (-2, 4)
So, we have
Maximum = (-2, 4)
Hence, the maximum value of the function is (-2, 4)
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Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 9 sin(xy), (0, 8)
Answer:
The magnitude is \(\Delta f(0,8) = 72\)
The direction is \(i\) i.e toward the x-axis
Step-by-step explanation:
From the question we are told that
The function is \(f(x, y) = 9sin(xy) \ \ \\)
The point considered is \((0,8 )\)
Generally the maximum rate of change of f at the given point and the direction is mathematically represented as
\(\Delta f(x,y) = [\frac{\delta f(x,y)}{\delta x } i + \frac{\delta f(x,y)}{\delta y } j ]\)
\(\Delta f(x,y) = [\frac{\delta (9sin(xy))}{\delta x} i + \frac{\delta (9sin(xy))}{\delta y} i ]\)
\(\Delta f(x,y) = [9y cos (x,y) i + 9xcos (x,y) j]\)
At \((0,8 )\)
\(\Delta f (0,8) = [9(8) cos(0* 8)i + 9(8) sin(0* 8)j ]\)
\(\Delta f (0,8) = 72 i \)
A farm lets you pick 3 pints of raspberries for $12.00. At this rate, how many pints can you get for $20?
Answer:
5
Step-by-step explanation:
12$:3 =4$ a pints of raspberries
20$:4$=5 pints of raspberries
HELP PLEASE!!
What is Y
5. Jamal is taking a road trip. He plans to travel a total of 350 miles over the course of 8 days. If he plans on driving an equal amount each day, how far will he travel each day? Solve and check!
Answer: 43.75 miles per day.
Step-by-step explanation: All you have to do is divide 350 by 8, when you divide you basically just split the number evenly 8 times, which is what 350 divided by 8 is. He will have to drive 43.75 miles a day.
Someone please help I need this done ASAP
Answer:
x = 9y = 10Step-by-step explanation:
Triangle TUR is equilateral and TRS is isosceles. They share same side TR
x + 4 = 13x = 9∠URT and ∠TRS are supplementary,
∠URT = 60° as angle of equilateral triangle,
∠RTS ≅ ∠RST (isosceles)
6y*2 = 180 - 6012y = 120y = 10
the slope of (3, 12) and (4, 16)
Answer:it’s 1/4
Step-by-step explanation:
50 POINTS What is the interquartile range of this data?
Enter your answer in the box.
Stem
1
2
3
4
5
CO
7
8
9
Leaf
0
338
3
5
00
Key: 115 means 15
The interquartile range of this data, in the stem and leaf plot would be 22
How to find the interquartile range ?First, order the numbers out from the stem and leaf plot, using the key of 1 | 5 means 15.
The numbers are :
10, 23, 23, 28, 33, 45, 70, 90
The Interquartile range is:
= Third quartile - First quartile
First quartile :
= 25 % x 8
= 2 nd position which is 23
Third quartile :
= 75 % x 8
= 6 th position which is 45
The interquartile range is:
= 45 - 23
= 22
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