Answer:
81 shares
Step-by-step explanation:
Data provided in the question
Number of shares owned = 75 shares of stock
Per share value = $50
Dividend declared = 8%
Based on the above information. the number of shares owned is
[tex]= Number\ of \ shares\ owned \times dividend\ declared\ percentage + Number\ of \ shares\ owned[/tex][tex]= 75\shares \times 8\% + 75\shares[/tex]
= 81 shares
We simply added the number of shares owned and the number of shares owned after considered the dividend declared percentage so that the correct shares owned could arrive
The table shows the functions representing the height and the area of the base of a rectangular prism for different values of x.
The volume of the prism when x = 3 is 36. Which equation can be used to represent the volume of the prism, V(x)?
V(x) = (f ∙ g)(x)
V(x) = (g + f)(x)
V(x) = (f – g)(x)
V(x) = (g – f)(x)
Answer:
V(x) = (f ∙ g)(x)
Step-by-step explanation:
Note. There is no table attached.
However it can solved with remaining information given.
The volume of a prism is
V = bh, where b is the area of the base, and h is the heightIf we have a function for the volume V(x) it has to be equal to a product of functions for the area and the height
Therefore the function will be similar to:
V(x) = (f*g)(x) which is effectively V(x) = f(x)*g(x), where functions f and g represent the area and heightSo the correct option is the first one
Consider a t distribution with 24 degrees of freedom. Compute P(-1.27˂t˂1.27) . Round your answer to at least three decimal places.
Answer:
Step-by-step explanation:
Use the calculator provided to solve the following problems. Consider a t distribution with 24 degrees of freedom. Compute P(-1.27˂t˂1.27) . Round your answer to at least three decimal places. Consider a t distribution with 5 degrees of freedom. Find the value of c such that P(t≤c)=0.05 . Round your answer to at least three decimal places.Please do only 9, 11, and 13 . These are on probability and it’s only 3 questions.
9: What is the probability of beef tips being the preferred new menu item?
To find the probability of a customer preferring beef tips over the other menu items, divide the quantity of customers that preferred beef tips over the total number of customers that participated in the survey:
28 / (42 + 28 + 30) = 28/100 = 28%
There is a 28% chance that beef tips is the new preferred menu item.
11: Out of a similar group of 375 customers, predict how many more customers will prefer chicken carbonara to shrimp scampi.
There are 100 customers that participated in the pre-existing survey. A grand total of 375 participants in a similar survey would mean that each food's preference would grow in a similar fashion.
100 * 3.75 = 375
You can then multiply each response group by 3.75 to find how many people prefer chicken carbonara and shrimp scampi.
42 * 3.75 = 157.5
30 * 3.75 = 112.5
Then, subtract the quantities to find out how many more people prefer chicken to shrimp.
157.5 - 112.5 = 45 people.
13: Predict the number of times that Giorgianna's name will be drawn in 32 weeks. Round to the nearest whole number.
There are five people in the group, and one is chosen as the team leader every week. 1 divided by 5 is .2, so the probability of being chosen as team leader is 20%.
You can multiply 0.2 by 32 to represent how many times the experiment will be run. The product is 6.4 times, so Giorgianna's name will likely be drawn 6 times within 32 weeks.
Answer:
9.) 7/ 25. 11). 45. 13) 6
Step-by-step explanation:
Explanation shown below;
For 13;
The probability of chosen Georgianna is 1/5
The number of times the draw would be conducted would be 32
Hence Georgianna would be chosen [ 1/5. * 32 = 6. 4 = 6[to the nearest whole]
-6x-10=20
Show me the steps.
Answer:
-6x-10=20
Collect like terms
-6x=20+10
-6x=30
Divide both sides by -6
x=30/6
x=5
Help Marshmello i wasn't born yesterday.
Answer:
x = 2, y = 1
Step-by-step explanation:
2x+3y = 7
y = 6x -11
Substitute the second equation in for y in the first equation
2x +3( 6x - 11) = 7
Distribute
2x+18x - 33 = 7
Combine like terms
20x - 33 = 7
Add 33 to each side
20x -33+33= 7+33
20x = 40
Divide each side by 20
20x/20 = 40/20
x= 2
Now find y
y = 6x-11
y = 6*2-11
y = 12-11
y =1
Answer:
B (2,1)
Step-by-step explanation:
X = 2, y = 1
A circle is inscribed with quadrilateral A B C D.
Let the measure of Arc B C D = a°. Because Arc B C D and Arc B A D form a circle, and a circle measures 360°, the measure of Arc B A D is 360 – a°. Because of the ________ theorem, m∠A = StartFraction a Over 2 EndFraction degrees and m∠C = StartFraction 360 minus a Over 2 EndFraction degrees. The sum of the measures of angles A and C is (StartFraction a Over 2 EndFraction) + StartFraction 360 minus a Over 2 EndFraction degrees, which is equal to StartFraction 360 degrees Over 2 EndFraction, or 180°. Therefore, angles A and C are supplementary because their measures add up to 180°. Angles B and D are supplementary because the sum of the measures of the angles in a quadrilateral is 360°. m∠A + m∠C + m∠B + m∠D = 360°, and using substitution, 180° + m∠B + m∠D = 360°, so m∠B + m∠D = 180°.
What is the missing information in the paragraph proof?
inscribed angle
polygon interior angle sum
quadrilateral angle sum
angle bisector
Answer:
A. Inscribed Angle Theorem
Step-by-step explanation:
Because the angles are inscribed in the circle, the angle lie on arcs which mean that the angles have to add up to 360 degrees just like a circle is 360 degrees, making it a quadrilateral that is inscribed!
Hope this helps actually explain the answer,
Matthew Keister aka Mattsawesome 5000 YT
The missing information in the paragraph proof is inscribed angle theorem that if an angle is inscribed in a circle, the measure of the inscribed angle is half the measure of the intercepted arc.
What is inscribed angle ?Inscribed angle in a circle is formed by two chords that have a common end point on the circle. This common end point is the vertex of the angle.
We have,
Quadrilateral [tex]A B C D[/tex] inscribed in Circle.
Measure of Arc [tex]B C D = a^0[/tex].
Arc [tex]B C D[/tex] and Arc [tex]B A D[/tex] form a circle, and a circle measures [tex]360^0[/tex],
Measure of Arc [tex]B A D = 360 - a^0[/tex]
Because of the theorem that if an angle is inscribed in a circle, the measure of the inscribed angle is half the measure of the intercepted arc.
Therefore,
[tex]\angle A = \frac{a}{2}^0[/tex] and
[tex]\angle C = (\frac{360-a}{2}) ^0[/tex]
The sum of the measures of angles [tex]A[/tex] and [tex]C[/tex] is,
[tex]\angle A + \angle C = \frac{a}{2}^0 +(\frac{360-a}{2}) ^0=180^0[/tex]
Therefore, angles [tex]A[/tex] and [tex]C[/tex] are supplementary because their measures add up to [tex]180^0[/tex].
Angles [tex]B[/tex] and [tex]D[/tex] are supplementary because the sum of the measures of the angles in a quadrilateral is[tex]360^0[/tex].
[tex]\angle A + \angle C + \angle B + \angle D = 360^0[/tex]
and using substitution,
[tex]180^0 + \angle B + \angle D = 360^0[/tex]
So,
[tex]\angle B + \angle D = 180^0[/tex]
So, from the above provided proof we can say that the missing information in the proof was inscribed angle theorem.
Hence, we can say that the missing information in the paragraph proof is inscribed angle theorem that if an angle is inscribed in a circle, the measure of the inscribed angle is half the measure of the intercepted arc.
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Complete the recursive formula of the arithmetic sequence -15,-11,-7,-3
Answer:
c(1)=-15
c(n)=c(n-1)+4
Step-by-step explanation:
Find the first , fourth , and eighth terms of the sequence A(n) = -3 •2 ^x - 1
Answer:
A(1) = -7
A(4) = -48
A(8) = -769
Step-by-step explanation:
[tex]A(n) = -3.2 ^n - 1.....(1)\\\\Plug \: n= 1\: in \: (1)\\A(1) = -3.2 ^1 - 1 =-3.2-1= -6 -1 \\\huge\red{\boxed{A(1) = -7}}\\\\Plug \: n= 4\: in \: (1)\\A(4) = -3.2 ^4 - 1 =-3.16-1= -48 -1 \\\huge\purple{\boxed{A(4) = -49}}\\\\Plug \: n= 8\: in \: (1)\\A(8) = -3.2 ^8 - 1 =-3.256-1= -768 -1 \\\huge\orange{\boxed{A(8) = -769}}[/tex]
Given the inequality 2x − 8y ≤ 24. Which best describes the half-plane that is the solution?
Hint: Rewrite inequality solving for y.
Question 3 options:
The half-plane lying below the line y = 14x − 3, not including the line y = 14x − 3.
The line y = 14x −3 and the half-plane lying above it.
The line y = 14x − 3 and the half-plane lying below it.
The half-plane lying above the line y = 14x − 3 , not including the line y = 14x − 3.
Answer:
The line y = 1/4x −3 and the half-plane lying above it.
Step-by-step explanation:
I attached the work to your problem. Please see the attachment.
When the product of 6 and the square of a number is increased by 5 times the number, the result is 4.
Which equation represents this situation?
y2 + 5y =n
Answer:
Hope this is correct
What is the solution to |10x|greater than -2
Answer:
The solution is: [tex](-\infty, \infty)[/tex], that is, all real values of x.
Step-by-step explanation:
The modulus of a value x(|x|) is the distance of x to the origin.
A distance is a positive measure, or zero, so |x| is never a negative value.
In this problem:
|10x| > -2
Remembering that the modulus is never negative, which means that for every value of x in the real set, |10x| > -2.
So the solution is: [tex](-\infty, \infty)[/tex], that is, all real values of x.
10. Sally wants to buy a bicycle that costs $285. The bicycle is on sale for 15% off. How much
will she buy the bicycle for?
$285×15/100
= $42.75 and this is the discount
$285-42.75 = $242.25
Sally will buy the bicycle at $ 242.25
Which expression fits the description?
-The expression is quotient of 2 quantities
-The numerator of the expression is 5 and the sum of x and y
-The denominator is the product of -8 and x
Answer:
[tex]\frac{5(x+y)}{-8x}[/tex]
Step-by-step explanation:
Given the description below;
-The expression is quotient of 2 quantities
-The numerator of the expression is 5 and the sum of x and y
-The denominator is the product of -8 and x
Let the given two quantities be a and b
The quotient of the expression will be expressed as [tex]\frac{a}{b}[/tex] where 'a' is the numerator and 'b' is the denominator
If the numerator of the expression is 5 and the sum of x and y , then;
[tex]a = 5(x+y)[/tex]
If the denominator is the product of -8 and x, then;
[tex]b =-8x[/tex]
The quotient of both expression will be [tex]\frac{a}{b} = \frac{5(x+y)}{-8x}[/tex]
The expression that fits the description is [tex]\frac{5(x+y)}{-8x}[/tex]
Solution: x=−2.5 y=0.5
Solution: x=2 y=2.
The slope is?
Answer:
1/3
Step-by-step explanation:
We have (x₁, y₁) = (-2.5, 0.5) and (x₂, y₂) = (2, 2). The formula for slope is
(y₂ - y₁) / (x₂ - x₁). When we plug these values in we get (2 - 0.5) / (2 - (-2.5)) =
1.5 / 4.5 = 1 / 3. Hope this helps!
Estimating π. Using random numbers can accomplish many tasks. For example, it is possible to estimate π using Monte Carlo methods. To get an estimate, you place random points in the square [0, 1] × [0, 1] and estimate π/4 as the ratio of the points that landed inside the unit circle to the total number of points (because the ratio of the area of the circle to the area of the square is π/4). Here is what a few test runs and the corresponding estimates for π might look like with the number of points equal to 100, 1000, and 10,000 respectively?
Answer:
Estimations of π/4:
100 points: 0.75
1,000 points: 0.768
10,000 points: 0.7819
Step-by-step explanation:
To get an estimate of π/4 you can place random points in the square [0, 1] × [0, 1] and estimate it as the ratio of the points that landed inside the unit circle to the total number of points (because the ratio of the area of the circle to the area of the square is π/4).
We do it for 100 xy points and we get:
Point inside the circle area = 75
Estimation of π/4 = 0.75
[tex]\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{75}{100}=0.75[/tex]
We do it for 1,000 xy points and we get:
Point inside the circle area = 768
Estimation of π/4 = 0.768
[tex]\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{768}{1000}=0.768[/tex]
If we do it fo 10,000 xy points, we get
Point inside the circle area = 768
Estimation of π/4 = 0.768
[tex]\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{7819}{10000}=0.7819[/tex]
The value of π/4 (4 decimals) is 0.7854.
The simulation gets more precise with the increase in the number of points.
The spreadsheet and the graphs are attached.
Suzanne owns a small business that employs 555 other people. Suzanne makes \$100{,}000$100,000dollar sign, 100, comma, 000 per year, and the other 555 employees make between \$40{,}000$40,000dollar sign, 40, comma, 000 and \$50{,}000$50,000dollar sign, 50, comma, 000 per year.
A dot plot has a horizontal axis labeled, Salary, in thousands of dollars, marked from 40 to 100, in increments of 2. 1 dot is plotted above each of the following values: 40, 42, 44, 46, 48, 100. The dot above 100 is shaded purple.
Suzanne decides to leave the company and keep the other 555 salaries the same.
A dot plot has a horizontal axis labeled, Salary, in thousands of dollars, marked from 40 to 100, in increments of 2. 1 dot is plotted above each of the following values: 40, 42, 44, 46, 48.
How will removing Suzanne's salary from the data set affect the mean and median?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The mean will decrease and the median will increase.
(Choice B)
B
The median will decrease and the mean will increase.
(Choice C)
C
Both the mean and median will decrease, but the median will decrease more than the mean.
(Choice D)
D
Both the mean and median will decrease, but the mean will decrease more than the median.
Answer:
d
Step-by-step explanation:
Use the formula d = rt. Find t for r = 49.5 m/h and d = 504.9 m. 24,993 h 10.2 h 0.1 h 455.4 h
Answer:
[tex] t = \frac{504.9m}{49.5 m/h}= 10.2[/tex]
And the best option would be:
10.2 h
Step-by-step explanation:
We have the following formula for the distance:
[tex] d = rt[/tex]
And we want to find the value of t with r = 49.5 m/h and d = 504.9 m. If we solve from t we got:
[tex] t = \frac{d}{r}[/tex]
And replacing the info given we got:
[tex] t = \frac{504.9m}{49.5 m/h}= 10.2[/tex]
And the best option would be:
10.2 h
Answer:
[tex]\bold{METHOD\ 2:}\\\\\text{Substitute the values of}\ r=49.5\ \dfrac{m}{h}\ \text{and}\ d=504.9\ m\ \text{to the formula}\ d=rt:\\\\504.9\ m=49.5\ \dfrac{m}{h}\cdot t\\\\\text{solve for}\ t:\\\\49.5\ \dfrac{m}{h}\cdot t=504.9\ m\qquad\text{divide both sides by}\ 49.5\ \dfrac{m}{h}\\\\t=504.9\ m:\left(49.5\ \dfrac{m}{h}\right)\\\\t=\dfrac{504.9}{49.5}\ m\!\!\!\!\!\diagup\cdot\dfrac{h}{m\!\!\!\!\!\diagup}\\\\t=10.2\ h[/tex]
Step-by-step explanation:
[tex]\bold{METHOD\ 2:}\\\\\text{Substitute the values of}\ r=49.5\ \dfrac{m}{h}\ \text{and}\ d=504.9\ m\ \text{to the formula}\ d=rt:\\\\504.9\ m=49.5\ \dfrac{m}{h}\cdot t\\\\\text{solve for}\ t:\\\\49.5\ \dfrac{m}{h}\cdot t=504.9\ m\qquad\text{divide both sides by}\ 49.5\ \dfrac{m}{h}\\\\t=504.9\ m:\left(49.5\ \dfrac{m}{h}\right)\\\\t=\dfrac{504.9}{49.5}\ m\!\!\!\!\!\diagup\cdot\dfrac{h}{m\!\!\!\!\!\diagup}\\\\t=10.2\ h[/tex]
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
p ≥ -14
Step-by-step explanation:
Subtract 4 from both sides:
p + 4 ≥ -10
- 4 - 4
________
p ≥ -14
6 plus 6 plus 6 time 2 equals?
Answer:
48
Step-by-step explanation:
6+6+6=24 (6*3)
24*2=48
Answer:
36
Step-by-step explanation:
6 + 6 + 6 = 18
18 x 2 =36
:3
What is the value of 2(x+y)-(x-z) ifx=2, y=1, and z=-3
Answer:
2(2+1)-[2-(-3)]
(2×3)-5
6-5=1
estimate 4.68×69.8÷4.98×72.8
Answer:
4,775.329156626506
Step-by-step explanation:
help asap !! will get branliest.
Answer:
d
Step-by-step explanation:
Line m passes through the points (3, 7) and (6, 12) while line n passes through the points (-5, 1) and (-2, 6). Which statement accurately describes the relationship between the two lines? A. Lines m and n have the same slope so they are parallel. B. Lines m and n have the same slope so they are perpendicular. C. Lines m and n have opposite reciprocal slopes so they are perpendicular. D. Lines m and n have opposite reciprocal slopes so they are parallel.
Hey there! I'm happy to help!
First, let's find the slope of the two lines. To find the slope, you divide the difference in the y-values by the difference in the x-values.
LINE M
7-12/3-6=-5/-3= 5/3
LINE N
1-6/-5+2=-5/-3=5/3
If lines have the same slopes, they are parallel because they are always moving at the same incline and therefore will never meet. This matches what answer A says.
Therefore, the correct answer is A) Lines m and n have the same slope so they are parallel.
I hope that this helps! Have a wonderful day!
1,-4,-9,-14,-19 what’s the 5th term
Answer:
-24
Step-by-step explanation:
goes by -5
Answer:
-24
Step-by-step explanation:
We are subtracting 5 each time
1-5 = -4
-4-5 = -9
-9-5=-14
-14-5=-19
-19-5 =-24
The fifth term is -24
4. Marcus uses software to graph f(x) = 3x + 2. Then he changes the function to
f(x) = 3x - 2 and uses the software to graph the new function. Which of the
following attributes of the function changes?
F. domain
G. y-intercept
J. asymptote
H. range
Answer:
G. y-intercept
Step-by-step explanation:
Both of Marcus's functions are lines in slope-intercept form:
y = mx +b
where b is the y-intercept.
In his first function, b=2; in his second, b=-2. The value of the y-intercept is what changed.
A rectangle has a length of x + 2 and a width of x-2, and
has an area of 60 square units. Find the length and width
of the rectangle.
Answer:
L = 10, W = 6
Step-by-step explanation:
(x-2)(x+2) = 60
[tex]x^{2}[/tex] - [tex]2^{2}[/tex] = 60
[tex]x^{2}[/tex] = 60 + 4 = 64
x = [tex]\sqrt{64}[/tex] = 8 or -8
-8 rejected
thus length is 8 + 2 = 10, width is 8-2=6
The length is 10 units and width is 6 units.
Length = x+2
Width = x-2
Area = 60
Area = Length × Width
Therefore, (x+2)(x-2) = 60
x²-2x+2x - 4 = 60
Collect like terms
x² = 60+4.
x² = 64.
Therefore, in order to get the value of x, we'll find the square root of 64
x² = 64.
x = ✓64
x = 8
Length = = x+2 = 8+2 = 10
Width = x-2 = 8-2 = 6
In conclusion, the length is 10 units and width is 6 units.
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Barbara buys
3 boxes of eggs costing £1.20 each
1 jar of mayonnaise costing £1.80
2 loaves of bread
She pays with a £10 note and gets £1.60 change.
Barbara works out the cost of 1 loaf of bread as £1.40
Is she correct?
You must show your working.
Answer:
Actually, a loaf of bread costs 1.5. Barbara was wrong but only by 10 pence
Step-by-step explanation:
1 box of eggs = 1.2
3 boxes of eggs =3*1.2=3.6
1 jar of mayonnaise =1.8
2 loves of bread=2x
Total price of her purchases =10-1.6=8.4
Setting up the equation:
3.6+1.8+2x=8.4
Solving for x
2x=8.4-3.6-1.8
2x=3
x=3/2=1.5
Need help
Pleaseeeee
Answer:
164 m^2
Step-by-step explanation:
You can think of the shaded area in different ways. One of the ways is the entire outer colored rectangle minus the area of the small white rectangle inside.
The large colored rectangle is 12 m by 15 m.
The inner rectangle is 8 m tall. The width is 12 m - 5 m - 5 m = 2 m
A = 12 m * 15 m - 2 m * 8 m
A = 180 m^2 - 16 m^2
A = 164 m^2
find the measure of the smallest angle of the triangle whose sides have lengths 6,9, and 11
Answer:
The smallest angle of the triangle is 33.030°.
Step-by-step explanation:
The angles of triangle can be determined with the help of the Law of Cosine and the fact that sum of all angles equals to 180°:
[tex]\cos A = -\frac{6^{2}-9^{2}-11^{2}}{2\cdot (9)\cdot (11)}[/tex]
[tex]\cos A = 0.838[/tex]
[tex]A \approx 33.030^{\circ}[/tex]
[tex]\cos B = -\frac{9^{2}-6^{2}-11^{2}}{2\cdot (6)\cdot (11)}[/tex]
[tex]\cos B = 0.575[/tex]
[tex]B \approx 54.847^{\circ}[/tex]
[tex]C = 180^{\circ} - A - B[/tex]
[tex]C = 180^{\circ} - 33.030^{\circ} - 54.847^{\circ}[/tex]
[tex]C = 92.123^{\circ}[/tex]
The smallest angle of the triangle is 33.030°.
3 - ( - 2a - 4 ) + 3a
Answer:
7 + 5a
Step-by-step explanation:
3-(- 2a -4)+3a = 3+2a +4 +3a = 7 + 5a