Step-by-step explanation:
since it is a circle the diameter is two times larger than radius.So 4×2=8km
At a certain fast food restaurant, 77.5% of the customers order items from the value menu. If 14 customers are randomly selected, what is the probability that at least 9 customers ordered an item from the value menu
The probability that at least 9 customers ordered an item from the value menu is 0.927.
What is binomial probability?In an experiment with two possible outcomes, the likelihood of precisely x successes on n repeated trials is known as the binomial probability (generally refereed as binomial experiment).
As per the given problem-
This likelihood is a binomial one, so take note. In this instance, a success is defined as a consumer placing an order from the value menu, hence we are looking for such probability between 9 to 14 success, inclusive.
The probability is indeed the complements of the likelihood of any success, ranging from 0 to 8. The procedures below can be used to figure out the probability from such a binomial distribution utilizing Excel.-
Press FORMULAS first, followed by INSERT FUNCTION.Secondly, choose the BINOM.DIST function.Next, input the figures for the quantity of successes, the quantity of trials, the likelihood of success, and the quantity of successes. Insert 8, 14, then 0.775 in this case, in that order. Because it is a cumulative probability, enter 1 for Cumulative.Click OK. The probability should then be shown in Excel. The probability that results in this case is 0.072766, or 0.073 scaled to three decimals.Subtract the preceding probability from 1 to get the likelihood of 9 to 14 people ordering out from value menu.
The likelihood is 1 x 0.073 = 0.927.
Therefore, the probability that at least 9 customers ordered an item from the value menu is 0.927.
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A circle has a central angle measuring startfraction 7 pi over 6 endfraction radians that intersects an arc of length 18 cm. what is the length of the radius of the circle? round your answer to the nearest tenth. use 3.14 for pi.
The radius of this circle is (B) 4.9 cm.
To find the radius of the circle:To solve this problem, we need to, first of all, convert the angle from radians to degrees.
data;
length of an arc = 18cmangle = 7/6π radsπ= 3.14[tex]\frac{7\pi }{6rads} =210^{0}[/tex]
Length of an Arc:
The formula for the length of an arc is given:
[tex]l_{arc} =[/tex] θ/360 × [tex]2\pi r[/tex]
Let's substitute the values and solve:
[tex]18=\frac{210}{360} *2\pi r\\18=3.663r\\r=\frac{18}{3.663} \\r=4.9cm[/tex]
From the calculations above, the radius of this circle is 4.9cm.
Therefore, the radius of this circle is (B) 4.9 cm.
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Complete question
A circle has a central angle measuring 7pi/6 radians that intersects an arc of length 18 cm. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for pi.
(A) 3.7 cm
(B) 4.9 cm
(C) 14.3 cm
(D) 15.4 cm
Need help w this problem
Answer:
9, 18Step-by-step explanation:
The key word "product" tells us to multiply.
And, you probably know, but "integer" just means "number".
The question is, essentially:
A × B = 162 where A is half of B.
As someone who was never gifted in math, my best suggestion for something like this is to grab a calculator and start dividing 162 by all the numbers below 10. You will know you've got your answer when the calculator gives you a number that is twice the number you divided by.
In this case, I divided 162 by 9 and got 18. Since 9 is half of 18, and multiplied they make 162, we know this is the correct answer.
Hope this helps
Gelatin Methacryloyl Hydrogels in the Absence of a Crosslinker as 3D Glioblastoma Multiforme (GBM)-Mimetic Microenvironment
For the eradication of malignancies like the aggressive type of human brain tumour known as glioblastoma multiforme (GBM), 3D platforms are crucial for tracking tumour growth and assessing treatment candidates.
What is Glioblastoma Multiforme (GBM)?Glioblastoma (GBM), commonly known as a grade IV astrocytoma, is an aggressive brain tumour that grows quickly. The local brain tissue gets invaded, but it typically does not spread to distant organs. GBMs can develop from lower-grade astrocytomas or develop from new brain tumours.
Some characteristics of GBM are-
We explore cellular behavior, expression profiles of malignancy, and apoptosis-related genes within this novel network using suspension and spheroid-based models of GBM. In-depth research is also done on the sensitivity to the anticancer medication Digitoxigenin. According to the research, GelMA hydrogels contain high levels of prosurvival Bcl-2 gene expression and sparse or spheroid U373 cells, which have much lower expressions of apoptosis-activating genes like Bad, Puma, and Caspase-3.The up regulation of matrix-metalloproteinase genes within GelMA suggests that gels have a beneficial effect on the extracellular remodelling of cancer cells. Through the investigation of 3D malignant cancer cell behavior, this special photo curable gelatin shows significant promise for the practical translation of cancer research and, consequently, for more effective treatment techniques for GBM.To know more about brain tumour, here
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Tara has read 95%, percent of the books she owns. if tara owns 160 books, how many of her books has she not read?
Answer:
8 books have not been read.
Step-by-step explanation:
Let X be the number of books Tara owns.
We learn that she has read 95%, which would mean (0.95)*(X) have already been read.
5% have not been read. 5% 0f 160 books equals (0.05)*(160) = 8 books have not been read. Impressive.
F(x) = 3* + 10xand g(x) = 5x - 3, find (f - g) (x)
Answer:
(f-g)(x)= (3x + 10) - (5x -3)
f-g = 3x + 10 - 5x + 3
f-g = -2x + 13
HELP HELP HELP HELP
HELP HELP HELP HELP
I didn't quite get what u meant by exponential form of the function but here
A balloon is falling. it falls 200 feet each minute. how far will it in 3 minutes?
Answer:
600ft
Step-by-step explanation:
The balloon falls 200 feet in one minute and we need the amount it fell in 3 minutes: 200feet*3minutes = 600 ft
In a certain clothing store, 6 shirts and 3 ties cost $79.50, and 3 shirts and 2 ties cost $41. Determine the cost of each shirt.
a) $10.00
b) $11.00
c) $12.00
The price of shirt is $12 and the price of tie is $2.5.
According to the statement
We have given that:
Let money spent on shirt = X and money spent on tie is Y.
So, 6X + 3Y = $79.5 and 3X + 2Y = $41 then
We have to find the the cost of each shirts.
Here we use the Elimination method.
Now,
6X + 3Y = $79.5 -(1)
3X + 2Y = $41 -(2)
By elimination method
Multiply (1) by 3 and (2) by 6 then
18X + 9Y = $238.5
18X + 12Y = $246
Then solve it and equation become
-3Y = -$7.5
Y = 2.5
It means the cost of tie is $2.5 and now the cost of shirt is
6X + 3Y = $79.5
6X + 3(2.5) = $79.5
6X + 7.5 = $79.5
6X = $72
X = $12.
So, The price of shirt is $12 and the price of tie is $2.5.
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ANSWER ASAP!
Tim is playing table tennis with a friend. the ball accidentally falls off the table and each bounce reaches a third of the height of the previous bounce. The ball starts bouncing with a height of 3 feet. Which sequence describes the balls bounce height?
A. 3, 6, 9, 12,...
B. 1, 3, 9, 27,...
C. 1/9, 1/3, 1, 3,...
D. 3, 1, 1/3, 1/9,...
The sequence of the ball is 3, 1, 1/3, 1/9,...
How to find terms of a sequence?The ball starts bouncing with a height of 3 feet.
Each bounce reaches a third of the height of the previous bounce.
Therefore,
a = first term = 3
r = common ratio = 1 / 3
Therefore,
nth term = arⁿ⁻¹
where
a = first termr = common ration = number of termsFirst term = 3
2nd term = 3 × (1 / 3) = 1
Third term = 3 × (1 / 3)² = 1 / 3
Fourth term = 3 × (1 / 3)³ = 1 / 9
Therefore, the sequence of the ball is 3, 1, 1/3, 1/9,...
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SOLVE FOR X AND THEN SOLVE FOR A
Answer:
Step-by-step explanation:
A + B= 180°
(5x+20)+(9x-92)=180°
14x-72=180°
14x=252
x=18
A=5(18)+20
A=110
Answer:
x = 18 , ∠ A = 110°
Step-by-step explanation:
∠ A and ∠ B are same- side interior angles and sum to 180° , that is
5x + 20 + 9x - 92 = 180
14x - 72 = 180 ( add 72 to both sides )
14x = 252 ( divide both sides by 14 )
x = 18
Then
∠ A = 5x + 20 = 5(18) + 20 = 90 + 20 = 110°
bestbroi
If light travels at 10,000 km in 3.0 x 10² seconds,
how long will it take light to travel one meter?
(1 km = 1 x 10³m)
Answer:
0.03 seconds
Step-by-step explanation:
10,000km = 300secs
1km = x seconds
Cross multiply the equation
10,000x = 300
Divide both sides by 10,000
10,000x = 300
10,000 10,000
x = 0.03 seconds
suppose sin(A) = 1/4. use the trig identity sin^2(A)+cos^2(A)=1 to find cos(A) in quadrant II. around to ten-thousandth.
a. 0.1397
b. 0.4630
c. -0.8572
d. -0.9682
In quadrant II, [tex]\cos(A)[/tex] will be negative. So
[tex]\sin^2(A) + \cos^2(A) = 1 \implies \cos(A) = -\sqrt{1 - \sin^2(A)} = -\dfrac{\sqrt{15}}4 \approx \boxed{-0.9682}[/tex]
The requried, rounded to four decimal places, cos(A) is approximately -0.9682. The correct answer is option d. -0.9682.
To find cos(A) in quadrant II, we can use the given information and the trigonometric identity [tex]sin^2(A) + cos^2(A) = 1[/tex].
Given [tex]sin(A) = 1/4[/tex], we can find [tex]cos(A)[/tex] as follows:
[tex]sin^2(A) + cos^2(A) = 1[/tex]
[tex](1/4)^2 + cos^2(A) = 1[/tex]
[tex]1/16 + cos^2(A) = 1[/tex]
Now, let's solve for [tex]cos^2(A)[/tex]:
[tex]cos^2(A) = 1 - 1/16[/tex]
[tex]cos^2(A) = 16/16 - 1/16[/tex]
[tex]cos^2(A) = 15/16[/tex]
Next, find the value of [tex]cos(A)[/tex] by taking the square root:
[tex]cos(A) = \pm \sqrt{(15/16)[/tex]
Since we are in quadrant II, where cosine is negative, we take the negative value:
[tex]cos(A) \approx -\sqrt{(15/16)[/tex]
Now, calculate the approximate value of cos(A):
[tex]cos(A) \approx -0.9682[/tex]
Rounded to four decimal places, cos(A) is approximately -0.9682. The correct answer is option d. -0.9682.
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Can someone please help me answer this question?
Answer:
(c) 0.18
Step-by-step explanation:
If the x-values are exhaustive, then the p(X=x) values must total 1.00.
Probability total0.11 +? +0.62 +0.09 = 1.00
0.82 +? = 1.00 . . . . . . . simplify
? = 0.18 . . . . . . . . . subtract 0.82
P(X=3) = 0.18
Determine which graph represents this system of equations to complete the statements that follow. y = -x2 + x + 5, y = -x + 2.
The solution to the system of equations is (-1, 3) and (3, -1)
How to graph the equations?The system of equation is given as:
y = -x^2 + x + 5
y = -x + 2
Next, we plot the graph of the system using a graphing tool
From the graph, both inequalities intersect at
(-1, 3) and (3, -1)
Hence, the solution to the system of equations is (-1, 3) and (3, -1)
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Answer:
graph 1,
3,-1 and -1,3
Step-by-step explanation:
See screenshot
Find the seventh term of the sequence which has a first term of 1/2 and has a common ratio of three
The seventh term of the sequence is 364.5
Geometric progressionFrom the question, we are to determine the seventh term of the sequence
Using the formula,
[tex]a_{n} = ar^{n-1}[/tex]
Where [tex]a_{n}[/tex] is the nth term
a is the first term
and r is the common ratio
From the given information,
a = 1/2
r = 3
Thus,
[tex]a_{7} = (\frac{1}{2}) 3^{7-1}[/tex]
[tex]a_{7} = (\frac{1}{2}) 3^{6}[/tex]
[tex]a_{7} = \frac{1}{2} \times 729[/tex]
[tex]a_{7} = 364\frac{1}{2} \ OR \ 364.5[/tex]
Hence, the seventh term of the sequence is 364.5
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a^4 b^2÷4a^3 b^-2
[tex] {a}^{4} {b}^{2} \div 4 {a}^{3} {b}^{ - 2} [/tex]
Helpppppppp pleaseeee
Answer:
Vertical Angles TheoremTransitive Property of CongruenceA saleslady is paid a commission of 3% on goods worth 100,000.she is also paid a salary of 11000.in a certain month she sold 360 shoes at460 each.the following month she had a salary increase of 20%.her total earnings were 22,200 calculate total amount of money received from sales of shoes that month
The total amount of money received from sales of shoes that month = $4968
Calculating sales commissionSalary = $11000
Number of shoes sold = 360
Cost of 1 shoe = $460
Total cost of shoes sold = 360 x 460
Total cost of shoes sold = $165600
Since $165600 is greater than $100000, she will earn a commission of 3%
Commission = (3/100) x $165600
Commission = $4968
The commission is the amount of money received from sales of shoes. Other earnings are salary or increment
Therefore, the total amount of money received from sales of shoes that month = $4968
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the ecentricity of the conic section below is
Hi! ❄
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The eccentricity of the conic section below is 1, since the conic section given is a parabola.
The eccentricity of a parabola is 1.
Hope that made sense !!
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[tex]\star\tiny\pmb{_{calligraphy}}\star[/tex]
Hi!
[tex]{}[/tex] - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
The eccentricity of the conic section below is 1, since the conic section given is a parabola.
What is parabola?
a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. The name "parabola" is due to Apollonius, who discovered many properties of conic sections. conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone.
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1-10) Matching. Use OA below to match each part to its corresponding label.
PLEASE HELP DUE IN A FEW
The matched answers are:
1. semicircle
2. central angle
3. Radius
4. Secant
5. center
6. tangent
7. diameter
8. minor arc
9. chord
10. major arc
What is a circle?A circle is the locus of points equidistant from a given point called the center of the circle.
A circle can be described if its radius and the center of the circle is known.
Analysis:
1. RCH is called a semicircle when a diameter divides a circle into two equal parts, a part is called the semicircle.
2. ∠RAH is the central angle, because it is the angle subtended at the Center of the circle.
3. CA is the radius of the circle, a line drawn from the center to any point on the circumference of the circle.
4. MR is a secant, a line that cuts the circle into two parts.
5. A is the center of the circle.
6. MT is the tangent, because line MT touches the circle at a point T.
7. CH is the diameter of the circle, a line that divides the circle into two semi circles.
8. CT is the minor arc, the curved line that is found in the smaller part of the divided circle.
9. HT is chord, it is a line that divides the circle into two unequal parts.
10. CRH is major arc, the curved line of the bigger portion of the divided circle.
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how many positive odd factors of 48 are greater than 2 and less than 10
Answer:
Just 1 positive, odd factor
Step-by-step explanation:
48 has many factors. But not many odd factors. Only 3 is odd and bigger than 2 and less than 10.
So, just one odd, positive factor.
How does the figure help verify the triangle inequality theorem?
The line is drawn from a length of 15, two lines constructing a triangle and intersecting the arc from a length of the lines 7, 4
A.
by showing that a triangle cannot be formed when the sum of the lengths of two sides is less than the length of the third side
B.
by showing that only one triangle can be formed when the sum of the lengths of two sides equals the length of the third
C.
by showing that only one triangle can be formed when the sum of the lengths of two sides is less than the length of the third
D.
by showing that a triangle cannot be formed when the sum of the lengths of two sides equals the length of the third
The figure description helps; Choice A; by showing that a triangle cannot be formed when the sum of the lengths of two sides is less than the length of the third side.
What is the triangle inequality theorem?The triangle inequalities theorem postulates that the sum of lengths of two sides of a triangle must be greater than the length of the third side.
On this note, it follows that the since the sum of sides given in the description 7 and 4 is less than 15, the segments cannot be used to form a triangle.
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Margo spends a quarter of her paycheck on a new dress, one-eighthof her paycheck on shoes, and $24 on a birthday present. if she spent $60 altogether, how much was margo’s paycheck? $96 $160 $216 $504
Answer:
$96
Step-by-step explanation:
Determined to save money and eat healthier, John and his family decide to build a vegetable garden. They order fencing
divide the bottom part of the garden from the top and also to go around the vegetable plot, but not on the outside border
plot. There also needs to be 2 gates measuring 2.5ft that are not fenced.
Use the conversion factors
1 foot = 30.48cm
1 foot = 12 inches
Available fencing panes measure 7 inches in width. How many panels will they need to
buy? Round your answer to the nearest whole number.
panes
10m
Pond
*13m
Gate
6.5m
10m
1.3m
Lawn
Fencing
The answers are:
The perimeter of vegetable plot = 19mArea = 67.6m²Fencing = 32.5mWhat is the perimeter about?Given that:
The perimeter of vegetable plot:
= 4m + 3.5m + 4m + 2m + (3.5 + 2m)
= 19m
Area of vegetable plot:
(1.3 x 5.5) + ( (4 - 1.3) x 3.5)
rounding up to one decimal place = 67.6m²
To know the numbers of meter fence that one can buy, the equation will be:
(perimeter of vegetable plot + the left plot) - gates.
(19m + (6.5 + 4 + (6.5 - 2) ) )m - (2.5ft x 2)
= 19m + 15m - 1.5424m
=32.476
=32.5m
Therefore, the answers are:
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The more novel a new product or service design is, the more forecasters have to rely on:_______
a) smoothed variation.
b) historical data.
c) seasonality.
d) cyclicality.
e) subjective estimates.
The more on these factors forecasters must rely, the more innovative a new product or service design is: Subjective Estimates.
Option (e) is correct.
A subjective estimate is a specific type of estimate that is founded on a person's subjective evaluation or in-depth comprehension of the possibility of a specific outcome.
A subjective estimate only takes into account the subject's ideas and prior experiences rather than employing data or exact calculations.
Individual subjective evaluations are highly biased and differ from person to person.
Contrarily, a subjective estimate is incredibly prone to revision, even when only one person's viewpoint is taken into account.
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Which of the following expressions is equal to 3x² +27?
Answer:
B. (3x - 9) (x + 3i)
Step-by-step explanation:
[tex]\bf 3 {x}^{2} = + 27[/tex]
[tex]\bf (3x - 9)(x + 3i)[/tex][tex]\bf 3 {x}^{2} +9 xi - 9xi - 27 {i}^{2} [/tex][tex]\bf 3 {x}^{2} - 27( {i}^{2} )[/tex][tex]\bf 3 {x}^{2} - 27( - 1)[/tex][tex]\bf 3 {x}^{2} + 27[/tex]Therefore, B is your answer!!!!
Calculate the (modeled) probability P(E) using the given information, assuming that all outcomes are equally likely.
S = {1, 3, 5, 7, 9}, E = {1, 5, 7}
The probability P(E) is 13/15.
According to the statement
we have given that the S = {1, 3, 5, 7, 9}, E = {1, 5, 7}
And we have to find the probability P(E).
So, For this purpose
Recall the formula for the probability of an event E in case when all outcomes are equally likely:
P(E)= n(E) /n(S)
in which S is the sample space.
But we have the S = {1, 3, 5, 7, 9},
so, n(S) = Sum of all outcomes / number of outcomes
n(S) = 1+3+5+7+9 /5
n(S) = 25 /5
n(S) = 5 and
For n(E) = Sum of all outcomes / number of outcomes
n(E) = 1+5+7 /3
n(E) = 13 /3
n(E) = 13 /3
Substitute these values in the above written formula then
P(E)= n(E) /n(S)
P(E)= (13/3)/ 5
P(E)= 13 /15
So, The probability P(E) is 13/15.
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A fashion designer wants to know how many new dresses women buy each year. A sample of 523 women was taken to study their purchasing habits. Construct the 95% confidence interval for the mean number of dresses purchased each year if the sample mean was found to be 7.3. Assume that the population standard deviation is 1.4. Round your answers to one decimal place.
The confidence interval for the meannumber of dresses purchased each year is (7.2,7.4).
Given sample mean of 7.3 and sample standard deviation of 1.4 and confidence interval of 95%.
We have to find confidence interval for the mean number of dresses purchased each year.
Because the sample size is more than 30 so z test test will be used.
Margin of error is the difference in real values and calculated values.
Margin of error=z*σ/[tex]\sqrt{n}[/tex]
where zis the criticalvalue of confidence level.
σ is sample standard deviation,
n is sample size.
z value for 95% confidence level=1.96
Margin of error=1.96*1.4/[tex]\sqrt{523}[/tex]
=2.744/22.869
=0.12
Upper level= Mean + margin of error
=7.3+0.12
=7.42
Rounding off
=7.4
Lower level=Mean - margin of error
=7.3-0.12
=7.18
Rounding
=7.1
Hence the confidence interval is (7.1,7.4).
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Complete the proof of the Pythagorean theorem.
Given: abc is a right triangle, with a right angle at Prove: a^2+ b^2=c^2
(Please see image for the fill in the blank questions and please answer correctly or don't just guess for points. I only need the ones shown in the image, I was able to get 12 through 17.)
The fill up are:
5. ∠B ≅ ∠B
6. AA Similarity Postulate
7. a/c = c/a
8. a² = cx
9. ∠CDA ≅ ∠BCA
10. ∠A ≅ ∠A
11. ΔCBA ~ ΔDBA
What is Similarity Postulate?The above answers shows that:
5. Reflexive Property
6. AA Similarity Postulate
7. Polygon Similarity Postulate
8. Cross Multiply and Simplify
9. All right angles are Congruent
10. Reflexive Property
11. AA similarity Postulate
To prove the above:
Note that the full proof of the Pythagorean theorem is that:
We are given: Δ ABC as a right triangle, with a right angle at ∠C.
Then the Prove: A²+B² =C²
Therefore, If you follow the theories above, you will see that the answers given are correct.
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