To calculate the interest and the total amount , we use Simple interest formula S.I = ( P× r × t ) / 100.
Simple interest is a method of calculating the interest that is charged on fixed deposits , savings accounts and the loans .
The money you put in the bank is called the principal, the bank pays you interest.
The interest is computed as a certain percent of the principal; called the rate of interest. The rate of interest is usually expressed as a percent per year, and is calculated by using the decimal equivalent of the percent.
The variable for time, t, represents the number of years the money is left in the account.
The formula to calculate simple interest is :
S.I = ( P× r × t ) / 100
where P is principle , r = rate of interest and t is term of loan in year.
To use the simple interest formula we substitute in the values for variables that are given, and then solve for the unknown variable.
To find the total amount ,
Amount = Principle + Interest
To know more about Simple interest here
https://brainly.com/question/22621039
#SPJ4
Announcements for 84 upcoming engineering conferences were randomly picked from a stack of IEEE Spectrum magazines. The mean length of the conferences was 3.94 days, with a standard deviation of 1.28 days. Assume the underlying population is normal.
Margin of error for the given standard deviation is m = 3.77 , 4.21.
What is standard deviation?
Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.
Main body:
Consider the given data, the sample of 84 announcements of upcoming engineering conferences were randomly selected. Here, sample mean = 3.94 days and sample standard deviation s = 1.28 days. The population standard deviation is unknown.
C.I . = 95% = 0.95
value of 0.95 in z-table = 1.96
m(margin of error ) = x - bar ±z*σ/√n
m = 3.94 ± 1.96*1.28/√84
m = 3.94±0.27
m = 3.77 , 4.21
Hence margin of error is m = 3.77 , 4.21
to know more about standard deviation click on the link below
brainly.com/question/475676
#SPJ4
Bill has lost 40 pounds in 8 weeks. What is his weekly rate?
Answer: 5
Step-by-step explanation:
So all you have to do is divide 40 by 8 and you get the answer
help meeeeeeeeeeee pleaseee rnnnnn!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The amount Erica owed for 6 years if $5300 is loaned to her at the rate of 8% is $8,551.56.
How to find the amount Eric owes for 6 years?The amount Erica owes for 6 years if 5300 dollars is loaned to her at the rate of 8% compounded monthly can be computed as follow:
Therefore, it is compounded 12 times.
[tex]A = p(1 +\frac{r}{n} )^{nt}[/tex]
where
p = principalr = rate t = timen = number of time compoundedTherefore,
p = 5300 dollars
t = 6 years
n = 12
r = 8%
Therefore,
[tex]A = p(1 +\frac{r}{n} )^{nt}[/tex]
[tex]A = 5300(1+ \frac{0.08}{12} )^{(12)(6)}[/tex]
A = 5300(1 + 0.0067)⁷²
Therefore,
A = $8,551.56
learn more on loan here:https://brainly.com/question/13423008?referrer=searchResults
#SPJ1
According to USA today, customers are not settling for automobiles straight off the production lines. As an ex. , those who purchase a $355,000 Rolls-Royce typically add $25,000 in accessories. One of the affordable automobiles to receive additions is BMWs mini cooper. A sample of 179 recent Mini purchasers yielded a sample mean of $5,000 above the $20,200 base sticker price. Suppose the cost of accessories purchased for all Mini Coopers has a standard deviation of $1,500.
A. Calculate a 95% confidence interval for the average cost of accessories on Mini Cooper.
B. Determine the margin of error in estimating the average cost of accessories on Mini Coopers.
C. What sample size would be required to reduce the margin of error by 50%?
The 95% confidence interval for the average cost of
accessories on Mini Cooper is between $4790.254 and $5219.746
The margin of error in estimating the average cost of accessories on Mini Coopers is $219.7459.
The required sample size should be 34574400 to reduce the
margin of error by 50%
Sample size, n = 179
Sample mean, x = 5,000
Population standard deviation, σ = 1,500
Confidence level, 1-α=0.95
⇒ Level of significance, α = 0.05
From the z-table, the tabulated value is given by
[tex]Z_{\alpha /2}[/tex] / [tex]Z_{0.025}[/tex]
=1.95
95% confidence interval for the average cost of accessories on Mini Cooper is
5,000±1.96×(1,500/√179)
= (5,000 ± 219.7459)
=($4790.254, $5219.746)
Therefore the 95% confidence interval for the average cost of
accessories on Mini Cooper is between $4790.254 and $5219.746.
Margin of error
= 1.96x(1,500/√179)
= 219.7459
Therefore, the margin of error in estimating the average cost of accessories on Mini Coopers is $219.7459.
The margin of error (E) is 0.50
⇒(0.50) √n=1.96(1500)
√n = 1.96(1500) /0.50
= n = (1.96(1500) /0.50)²
= n = (5880)²
= n = 34574400
Therefore, the required sample size should be 34574400 to reduce the
the margin of error by 50%
To learn more about probability and statistics,
https://brainly.com/question/14210034
#SPJ4
A jacket normally costs £79.50.
In a sale there is 30% off the normal price.
What is the sale price of the jacket?
Answer:
£55.56
Step-by-step explanation:
30% off means you pay 70% of the full price.
70% = 0.7
£79.50 * 0.7 = £55.56
Find the critical point of the function f(x, y) = X2 + y2 + 3xy - 7.5x Use the Second Derivative Test to determine whether the point a local maximum test fails a local minimum a saddle point
The critical point of the function f(x, y) = x^2 + y^2 + 3xy - 7.5x is (0, 0) because the partial derivatives of f with respect to x and y are both equal to 0 at this point.
What is the critical point?In mathematics, a critical point is a location along a function or curve where the derivative of the function is either equal to 0 or undefined. Accordingly, a critical point occurs where the slope of the function is either 0 or not specified, producing a flat or vertical tangent line. Critical points are significant because they frequently point to locations where the function changes course or exhibits a local extreme value, such as a maximum or minimum. Taking the function's derivative and then solving for the values of x where the derivative equals zero or is undefined will help you locate key spots. The critical points of the function are at these values of x.
How to solve?
To use the Second Derivative Test, we need to calculate the Hessian matrix of the function at the point (0, 0).
The Hessian matrix for f(x, y) at (0, 0) is given by:
H = [2 3]
[3 2]
λ1 = 5, λ2 = -1
Since the Hessian matrix has one positive and one negative eigenvalue, the point (0, 0) is a saddle point.
To learn more about the critical point, visit:
https://brainly.com/question/7805334
#SPJ4
How many sides and angles does a circle have?.
The number of sides in a circle is 0.
The number of angles in a circle is 0.
What is the Radius of a circle?
Any circular object's radius is the measurement from the center to its outermost border or boundary. A radius is a dimension that applies to spheres, semispheres, cones with circular bases, and cylinders with circular bases in addition to circles.
It is possible to define a circle as the locus of a point moving in a plane while maintaining a constant distance from a fixed point. The radius of a circle is the distance from any point on the circle to its center. The fixed point is referred to as the center of the circle.
The angle formed by any two-circle radii is known as the central angle. The arc length, or the distance between the two places where the two radii cross the circumference, and the radius length must be determined in order to determine the central angle.
So, we can say that:
Since a circle is made up of arcs, which form a continuous line that joins at both ends, it has no sides. The distance between each circle's component components and its center is equal. A side must have two angles, one on either side of the line, and a line.
Hence,
The number of sides in a circle is 0.
The number of angles in a circle is 0.
To learn more about Circles, visit;
brainly.com/question/23636799
#SPJ4
can it be concluded at a 0.01 level of significance that there is a linear correlation between the two variables?
The p value is 0.0055 and it can be .concluded at a 0.01 level of significance that there is a linear correlation between the two variables
What is meant by correlation?In statistics, correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data. Although the term "correlation" can apply to any sort of link, in statistics it usually refers to the degree to which two variables are linearly related. The association between the height of parents and their kids, as illustrated in the so-called demand curve, is an example of a dependent phenomenon.
Dependent variable :Distance
Independent variable :Weight
Distance=10.336482+0.34383484 weight
Sample size=24
Correlation coefficient(R)=0.54872231
Estimation error of standard deviation=8.5738353
Parameter estimates:
Parameter Estimate Std.Err Alternative DF T-Stat P-value
Intercept 10.336482 9.7264272 ≠0 22 1.0627214 0.2994
Slope 0.34383484 0.11168494 ≠0 22 3.0786141 0.0055
From the above values in the table,
p-value=0.0055 which is less than 0.01.
So, the significant linear correlation exists between two variables.
To know more about correlation, visit:
https://brainly.com/question/28898177
#SPJ4
100 grams/day of substance x is filtered, 50 grams/day is reabsorbed, 75 grams/day is secreted and 125 grams/day is excreted. substance x is undergoing in the nephron and would have a clearance value that is .(choose one)
100 grams/day of substance x is filtered, 50 grams/day is reabsorbed, 75 grams/day is secreted and 125 grams/day is excreted. substance x is undergoing in the nephron net secretion and would have a clearance value that is greater than GFR
The formula for calculating clearance is Cx is given in terms of volume per time, where Ax is the quantity of x removed from the plasma, Px is the average plasma concentration, and Cx = Ax /Px.
Ax= 125 grams/day
and Px= 50 grams/day
Cx= 125/ 50
Cx= 2.5 grams/day
Therefore, the creatinine clearance overestimates GFR more severely in patients with a very low GFR than in those with higher GFR values. For a patient with a very low GFR, the secreted component is a relatively larger fraction of the total amount excreted.
Creatinine clearance remains the most popular method for routinely assessing patient GFR and the integrity of renal filtration, despite its low cost and convenience.
For more information on clearance kindly visit to
https://brainly.com/question/29461581
#SPJ4
Complete question :
Patient was experiencing respiratory acidosis (the increased hydrogen ion concentration was predominantly activating his peripheral chemoreceptors). 100 grams/day of substance X is filtered, 50 grams/day is reabsorbed, 75 grams/day is secreted and 125 grams/day is excreted. Substance X is undergoing ___________ in the nephron and would have a clearance value that is _________.(choose one)
A)net reabsorption, less than GFR
B)net secretion, greater than GFR
C)neither net reabsorption nor net secretion, equal to GFR
D)net reabsorption, greater than GFR
E) net secretion, less than GFR
you are interested in knowing what proportion of college students smoke. in a big university, you take a small random sample of 650 students and find that 25 of them smoke. based on the results of your survey, construct a 99% confidence interval for the proportion of college students who smoke.
A 99% confidence interval for the proportion of college students who smoke for the given standard deviation is (0.021. 0.045).
What is standard deviation?
Standard Deviation is a measure that shows what quantity variation (such as unfold, dispersion, spread,) from the mean exists. the quality deviation indicates a “typical” deviation from the mean. it's a well-liked live of variability as a result of it returns to the first units of live of the info set.
Main body:
formula for confidence interval is :
m = p-bar ± z*√p(1-p)/n
given information =
n= 650
p - bar = 25/650 = 1/26
C.I. = 99% = 0.99
we need to find value of 0.99 in z -table
z = 2.33
substituting value ,
0.038 ± 2.33√( 0.038(1-0.038))/650
0.038 ± 2.33 * 0.075
0.038 ± 0.017
(0.021. 0.045)
to know more about standard deviation click on the link below
brainly.com/question/475676
#SPJ4
4. For all non-zero real numbers x and y such that x - y = xy. What is the value of (1/x)-(1/y)
Answer:
The value is -1-----------------------------
Simplify 1/x - 1/y1/x - 1/y = Common denominator is xyy/(xy) - x/(xy) = Bring to common denominator (y - x)/(xy) = Combine numerators- (x - y)/(xy) = Both numerator and denominator are same- 1 Answer) find the number of ways to distribute 10 identical cards into 3 boxes, where each box has at least one card.
Numbers of ways to distribute 10 identical cards into 3 boxes is 36
Combination is is a way of selecting items from a collection where the order of selection does not matter.
Formula of combination:
Let a x-combination of a set is a subset of x distinct elements of S. If the set has n elements, the number of x-combinations is equal to the binomial coefficient.
ⁿCₓ = n(n-1)(n-2)(n-3). . . (n-x+1) / (x-1)(x-2)(x-3) . . . .(1)
which can be written as ⁿCₓ = n! / (n-x)! x! , when n > x
ⁿCₓ = 0 , when n < x
Where n = distinct object to choose from
C = Combination
x = spaces to fill
According to the question,
Number of identical cards : n =10
Number of box cards are being distributed : x = 3
Number of ways to distribute when no condition is given : ⁿ⁺ˣ⁻¹Cₓ₋₁
If we place one one card in each box then
Number of cards left with us = 10 - 3
= 7
Now, condition of at least one cards in each box is satisfied ,
Then total number of ways to distribute 7 cards into 3 = ⁷⁺³⁻¹C₃₋₁
=> ⁹C₂ = 9! / (9 - 2)! 2!
=> 9×8×7! / 7!2!
=> 9×8/2
=> 9×4
=>36 ways
To know more about Combination here
https://brainly.com/question/28065038
#SPJ4
What are the dangers you should look out for before using the AED?.
The dangers you should look out for before using the AED are do Not use an AED on a victim lying on a conductive surface, Do Not use an AED on a child under age 8 or under 90 pounds, o Not use an AED on a victim who has a nitroglycerine or other patch, and so on.
AED stands for Automated Outside Defibrillator. An AED analyzes the heart's rhythm and tells a first-help supplier to provide a stun to a victim of sudden cardiac arrest. This stun is called defibrillation and may offer assistance to the heart to reestablish an effective beat. It appears that early defibrillation increments a victim of sudden cardic arrest chances for survival. . Don't touch the victim whereas defibrillating. You or somebody else may get shocked. Do Not utilize liquor to wipe the victim's chest dry. Liquor is flammable. Do Not utilize an AED in a moving vehicle. Movement may influence the analysis. Do Not utilize an AED on a victim who is in contact with water. Move victims absent from puddles of water or swimming pools or out of the rain sometime recently defibrillating.
To know more about AED refer to the link https://brainly.com/question/28273512?referrer=searchResults.
#SPJ4
jill buys a mobile phone that weighs 210g to 2 significant figures. she puts the phone inside a protective case that weighs 15.4g to 1 decimal place. work out the smallest possible total weight, in grams (g) of the phone, and the case combined
The smallest possible total weight of the phone and case combined is 225.4g.
What is quadratic equation?
it's a second-degree quadratic equation which is an algebraic equation in x.
To find the smallest possible total weight of the phone and case combined, we need to add the weight of the phone and the case.
The weight of the phone is given to 2 significant figures, so we can assume that it has an uncertainty of +/- 0.05g. The weight of the case is given to 1 decimal place, so we can assume that it has an uncertainty of +/- 0.05g as well.
Adding the two weights together, we get:
210g + 15.4g = 225.4g
To find the smallest possible total weight, we need to round this to the nearest 0.1g, since the weight of the case is given to 1 decimal place. Rounding to the nearest 0.1g gives us:
225.4g rounded to 1 decimal place = 225.4g
Therefore, the smallest possible total weight of the phone and case combined is 225.4g.
To learn more about quadratic equation from the given link:
brainly.com/question/30098550
#SPJ1
The lowest overall weight that may be achieved is [tex]220.35g[/tex].
What does weight actually mean?The amount and quantity of bulk or heaviness; the weight of something. Physics. In an area with constant gravitational acceleration, mass is typically defined as the force of gravity, which is equal to the body's mass times the local velocity of gravity.
What does weight vs. weigh mean?With a few exceptions like statistics, grades, and blankets, we can generally keep weigh or weight distinct through using weight as a verbs and mass as a noun.
As the weight of the smartphone is stated to be [tex]210g[/tex] to two significant numbers, we may conclude that its true weight is between [tex]205g[/tex] & [tex]215g[/tex].
We may estimate that the case weighs between [tex]15.35g[/tex] to [tex]15.45g[/tex] because it is said to weight [tex]15.4g[/tex] to one decimal point.
So, [tex]205g + 15.35g = 220.35g[/tex] is the absolute minimum weight that the phone and case may weigh together.
Hence, [tex]220.35g[/tex] is the lowest feasible overall weight.
To know more about weight visit:
https://brainly.com/question/30129918
#SPJ1
A mail-order company charges $5 per order plus $2 per item in the order, up to a maximum of 4 items. write a function rule to describe the situation. find a reasonable domain and range for the function.
The function to describe the order of the mail-order company is given by f(x) = 5 +2x , {x | x ≤ 4 } .
The charge per order = $5 .
Cost of each item = $2
Cost of x items = 2x
Total cost for the order = 5 + 2x
Function to represent this situation : f(x) = 5 + 2x
Now it is given that the maximum of 4 items can be ordered.
Domain: {1,2,3,4}
At x = 1 , f(x) = $7
At x = 2 , f(x) = $9
At x = 3 , f(x) = $11
At x = 4 , f(x) = $13
Range of the function: {7,9,11,13}
A rule is referred to as a function if it produces a distinct result for each input x. In mathematics, a function is represented by a mapping or transformation.
The set of all potential values that can be passed into a function while it is specified is known as the domain. The entire set of values that the function's output is capable of creating is referred to as the "range."
The range of potential values for a function's outputs is known as the co-domain.
To learn more about functions visit:
https://brainly.com/question/20165766
#SPJ4
Answer:
Domain: {1, 2, 3, 4}
Range: {7, 9, 11, 13}
Step-by-step explanation:
Is it easier for you to visualize the reaction by using pictures words or symbols?.
Chemical reactions such as photosynthesis explains the manner in which green plants manufacture their own food using the energy derived from sunlight.
What is photosynthesis?
Photosynthesis is the process in which green plants prepare their own food in the presence of sunlight and light energy is converted into chemical energy by the process of cellular respiration.
The process of photosynthesis takes place in green plants only due to presence of chlorophyll and materials such as sunlight, water, carbon dioxide is required for the process of photosynthesis.
The equation of photosynthesis is represented below:
6CO₂ + 6H₂O → C₆H₁₂O₆ + 6O₂.
The process of food manufacturing in plant is done through photosynthesis and the plants are known as autotrophs as they are the producers.
In the process of photosynthesis the reactant have 6 carbon dioxide molecules and six water molecules, and light energy converted into chemical energy due to presence of chlorophyll.
Therefore, Chemical reactions such as photosynthesis explains the manner in which green plants manufacture their own food using the energy derived from sunlight.
Learn more about photosynthesis here: brainly.com/question/1388366
#SPJ4
A computer programming team has 17 members. (a) How many ways can a group of nine be chosen to work on a project? As in Example 9.5.4, since the set of people in a group is a subset of the set of people on the team, the answer is (b) Suppose nine team members are women and eight are men. (1) How many groups of nine can be chosen that contain five women and four men? As in Example 9.5.7a, think of forming the group as a two-step process, where step 1 is to choose the women and step 2 is to choose the men. The answer is (ii) How many groups of nine can be chosen that contain at least one man? As in Example 9.5.7b, consider the relationship between the set of groups that consist entirely of women and the set of groups with at least one man. This thinking leads to the conclusion that the number of groups with at least on man is (iii) How many groups of nine can be chosen that contain at most three women? A group of nine that contains at most three women can contain no women, one woman, two women, or three women. So, the number of groups of nine that contain at most three women is (c) Suppose two team members refuse to work together on projects. How many groups of nine can be chosen to work on a project? In a similar way as in Example 9.5.6, let A and B be the two team members who refuse to work together in a group. Thinking about the number of groups that contain A and not B, B and not A, and neither A nor B leads to the conclusion that the total number of groups of that can be chosen to work on the project is (d) Suppose two team members insist on either working together or not at all on projects. How many groups of nine can be chosen to work on a project? As in Example 9.5.5, let A and B be the two team members who insist on working in a group together or not at all. How many groups contain both A and B? How many groups contain neither A nor B?
The number of groups that can be chosen from the team of 17 depends on the given conditions of the selection.
The correct responses are;
(a) The number of ways of choosing groups of 9 from the 17 members are 24,310 ways.
(b) (i) The number of groups of 9 containing 5 women and 4 men are 8,820 groups.
(ii) The number of groups of 9 that contain at least one man is 24,309 groups.
(iii) The number of groups of 9 that contain at most 3 women are 2,649 groups.
(c) If two team members refuse to work together on projects, the number of groups of 9 that can be chosen are 17,875 groups.
(d) If two team members must work together or not at all the number of groups of 9 that can be chosen are 1,430 groups.
Given,
The combination of n objects taking r at a time is given as follows
ₙCr = (ⁿr)
(a) The number of ways of choosing groups of 9 from the 17 members is given as follows;
Number of ways of choosing groups of 9 = (17, 9) = 24,310 ways.
(b) (i) Number of women = 9
Number of men = 8
Number of groups of 9 containing 5 women and 4 men = (9, 5) x (8, 4)
(9, 5) x (8, 4) = 126 x 70 = 8820
Number of groups of 9 containing 5 women and 4 men = 8,820 groups.
(ii) The number of groups that contain at least one man is (17, 9) - (9, 9)
(17, 9) - (9, 9) = 24,310 - 1 = 24,309
The number of groups that contain at least one man are 24,309 groups.
(iii) The number of groups of 9 that contain at most 3 women if given as follows;
(8, 8) × (9, 1) + (8, 7) × (9, 2) + (8, 6) × (9, 3) = 2649
The number of groups of 9 that contain at most 3 women are 2,649 groups.
(c) Given that two team members refuse to work together on projects, the number of groups of 9 that can be chosen are (15, 9) + 2 × (15, 8)
(15, 9) + 2 × (15, 8) = 5,005 + 2 × 6,435 = 17,875
(d) Two team members must work together or not at all is (15, 7) - (15, 9)
(15, 7) - (15, 9) = 6,435 - 5,005 = 1,430
The number of groups of 9 that can be chosen two team members must work together or not at all are 1,430 groups.
Learn more about number of ways here;
https://brainly.com/question/25310371
#SPJ4
Write and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the x-axis.
y = x4, y = x7
The volume of the solid formed by revolving the region about the x-axis is 2/45π.
Given:
Write and evaluate the definite integral that represents the volume of the solid formed by revolving the region about the x-axis.
y = x^4, y = x^7
In addition, we must identify if the axis of revolution is vertical or horizontal.
In this case, the axis of revolution is on the x-axis, when y=0
The axis of revolution is Horizontal.
Select the method to find the volume. We select the Washer Method:
[tex]V = pi*\int\limits^b_a {(R(x))^2-(r(x))^2} \, dx[/tex]
From the image uploaded:
r(x) = x^7
R(x) = x^4
a = 0
b = 1
[tex]V = pi*\int\limits^1_0 {(x^4)^2-(x^7)^2} \, dx[/tex]
[tex]V = pi*\int\limits^1_0 {(x^8)-(x^{14})} \, dx[/tex]
[tex]V=pi*[(-1/15(1)^{15}+1/9(1)^9)-(-1/15(0)^{15}+1/9(0)^9)][/tex]
[tex]V = pi*[(2/45) - (0)][/tex]
V = 2/45*π
Learn more about the volume here:
https://brainly.com/question/1578538
#SPJ4
Work out the perimeter of a semicircle with radius 3 cm.
Give your answer in terms of pi .
The perimeter of a semicircle with radius 3 cm is 6π cm.
What is semi-circle?
When a line travelling through the Centre of a circle reaches its two ends, a semicircle is created. Thus, a circle can be formed by combining two semicircles.Half of the area of a circle is contained within a semicircle. Since r2 is the radius of a circle, A semicircle's area is therefore 1/2(πr2), where r is its radius π has a value of 3.14, or 22/7.Half of the circle's circumference plus its diameter add up to a semicircle's perimeter. Since a circle's circumference is 2πr or πd, A semicircle's perimeter is therefore 1/2 (πd) + d, or πr + 2r, where r is its radius.Given :
Radius = 3cm
Circumference or Perimeter of a circle = 2πr
= 2 * π * 3
= 6π cm
Hence, the perimeter of a semicircle with radius 3 cm is 6π cm.
To know more about perimeter check the below link:
https://brainly.com/question/19819849
#SPJ1
The lengths of the four sides of a quadrilateral (in meters) are consecutive integers. If the perimeter is 50 meters, find the value of the shortest of the four side lengths.
(also, what do those numbers mean that are next to the subject when i'm asking a question?)
(1 point) you have a spinner with red and blue regions. when you spin, it comes up blue 80 percent of the time. you do an experiment where you spin the spinner 120 times, and it comes up blue 101 times. (a) what proportion of spins came up blue in your sample?
84 percent of spins came up blue in your sample.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, You spin the spinner 120 times, and it comes up blue 101 times.
∴ The proportion of spins that came up blue in your sample is,
= (101/120).
= 0.84 Or 84% of the spins came up blue.
learn more about proportion here :
https://brainly.com/question/7096655
#SPJ1
yolanda is planning a 778-mile trip to visit her daughter in maryland. she plans to average 50 miles per hour. at that speed, approximately how long will the trip take? express your answer to the nearest tenth of an hour.
A cla vote for their cla preident. Candidate
A
receive 21
21
vote, which i 60%
60
%
of the vote. What i the total number of tudent who voted?
There were 35 students that cast ballots in total.
How much is a percentage?
In mathematics, a percentage is a number or ratio that is expressed as a fraction of 100. Frequently, it is denoted with the percent sign ("%")
We possess
60% of the vote, or 21 votes, are cast in favor of Candidate A.
The answer to the query is
Formulate the following given the conditions: 21 /60%
Use the same number to multiply the numerator and denominator: 210/6
Remove the connecting element: 35
Consequently, 35 students in all cast ballots.
From this point on, learn more about percentage.
https://brainly.com/question/24877689
#SPJ4
Justine started her own landscaping business. she charges $6 an hour for mowing lawns and $11 for pulling weeds. in september she mowed lawns for 13 hours and pulled weeds for 5 hours. how much money did she earn in september?
If she mowed lawns for 13 hours and pulled weeds for 5 hours, then she earn $133 in September
The charges for mowing lawns = $6 per hour
The charges for pulling weeds = $11 per hour
Total number of hours that she mowed the lawn = 13 hours
Total number of hours that she pulled weeds = 5 hours
Total amount that she earned in September = (The charges for mowing lawns × Total number of hours that she mowed the lawn) + (The charges for pulling weeds × Total number of hours that she pulled weeds)
Substitute the values in the equation
6 × 13 + 11 × 5
= 78 + 55
= $133
Hence, the total amount that she earned in September is $133
Learn more about equation here
brainly.com/question/14603452
#SPJ4
What are the steps for using a compass and straightedge to construct a regular hexagon inscribed?.
The steps to construct a regular hexagon inscribed are-Construct a horizontal line I and a point H on this line I, draw a circle having to intersect line I with it's center at point H, label the point of intersection of the circle and the left of point H, point J.
Detailed steps to construct a regular hexagon inscribed using a compass are:
Construct a horizontal line I and a point H on this line I.Construct a circle which will intersect line I with it's center at point H.Name the point of intersection of the circle and the left of point H, point J.Construct a circle by taking center point at point J and with a radius of HJ. Construct a circle by taking center at point K having a radius of HJ.Name the point of intersection of circles H and J that lies above line I, point M, and the point of the intersection that lies below line I, point N. Name the point of intersection of circles H and K that lies above line I, point O, and the point of their intersection that lies below line I, point P. Construct and JM, MO, OK, KP, PN, and NJ to complete regular hexagon JMOKPN.To know more about regular hexagon, visit here:
https://brainly.com/question/1694257
#SPJ4
how many different 4 card hands can be dealt from a deck of 52 cards? the order of the cards does not matter in this case.
Answer:
270,725 hands.
Step-by-step explanation:
(52 x 51 x 50 x 49)/(4 x 3 x 2) = 13 x 17 x 25 x 49 = 270,725
You have solved equations containing square roots by squaring each side. You were
using the property that if a = b then a²-b². Show that the following statements are
NOT true for all real numbers.
a) if a² = b² then a = b
b) if a s b then a² sb²
These statements are not always true for all real numbers
What is a real number ?
A real number is a number that can be used to represent a continuous one-dimensional quantity in mathematics, such as a temperature, duration, or distance. Continuous in this context suggests that values may vary by arbitrary little amounts. An infinite decimal expansion can nearly always represent any real number.
a. If a² = b² and a = b is not always true because (-3)² = (3)² is true but
-3 = 3 is not true
Hence if a² = b² then a = b is not always true
b. if a< b then a²<b² is not always true
because -5<4 is true but (-5)² < (4)² is not true
Hence if a<b then a² < b² is not always true
To learn more about a real number from the given link
https://brainly.com/question/17201233
#SPJ1
A polygon has vertices at (-1, 3), (−1, 6), (2, 10), (5, 6), and (5, 3).
What is the area of the polygon? Enter your answer in the box.
The perimeter of the polygon is 22 units.
What is the area of the polygon?
The area of a polygon is defined as the area enclosed by the polygon's boundary. In other words, the region occupied by any polygon determines its area. In this lesson, we will learn how to calculate polygon area and the difference between polygon perimeter and area in detail.
we know that
the perimeter of a polygon is the sum of the length sides
in this problem, we have five vertices
so the polygon has five sides
Let,
A(-1, 3)
B(−1, 6)
C(2, 10)
D(5, 6)
E(5, 3).
the perimeter is equal to
P = AB + BC + CD + DE + AE
The formula to calculate the distance between two points is equal to
d = √(y₂ - y₁)² + (x₂ - x₁)²
The distance of AB:
A(-1, 3)
B(−1, 6)
d = √(6 - 3)² + (-1 - (-1))²
d = √(3)² + (0)²
d = 3
The distance of BC:
B(−1, 6)
C(2, 10)
d = √(10 - 6)² + (2 - (-1))²
d = √(4)² + (3)²
d = 5
The distance of CD:
C(2, 10)
D(5, 6)
d = √(6 - 10)² + (5 - 2)²
d = 5
The distance of DE:
D(5, 6)
E(5, 3).
d = √(3 - 6)² + (5 - 5)²
d = 3
The distance of AE:
A(-1, 3)
E(5, 3)
d = √(3 - 3)² + (5 - (-1))²
d = 6
Find the perimeter
the perimeter is equal to
P = AB + BC + CD + DE + AE
P = 3+5+5+3+6
P = 22 units.
Hence, the perimeter of the polygon is 22 units.
To learn more about the area of the polygon visit,
https://brainly.com/question/22640000
#SPJ1
Which congruence theorem can be used to prove triangle ABC is congruent to triangle DEC?.
Because the corresponding sections of congruent triangles are congruent, you may use the Vertical Angles Congruence Theorem to demonstrate that ABC DEC. b. CAB CDE.
Which congruence theorem can be used to demonstrate that triangles ABC and DEF are congruent?Triangle ABC is congruent to triangle DEF if in triangles ABC and DEF, AB = DE, AC = DF, and angle A = angle D. In other words, if a triangle's third side matches the third side of another triangle's third side, the triangles are said to be congruent.
The SAS Theorem is what?The side-angle-side (SAS) theorem is the first such theorem. The triangles are congruent if two sides and the included angle of one triangle are equivalent to two sides and the included angle of another triangle.
Learn more about Congruency here:
brainly.com/question/7888063
#SPJ4
Is it important to solve or address the problem why or why not?.
