Answer:
Option A Ordinal
Step-by-step explanation:
The most appropriate level of measurements for this category is ordinal measurements. The ordinal measurement allows for the ordering of the data but differences cannot be found for them or finding differences is completely useless using this measurements.
A circle is defined by the equation given below.
x^2+y^2-x-2y-11/4=0
What are the coordinates for the center of the circle and the length of the radius?
Answer:
(1/2, 1)
2
Step-by-step explanation:
x² + y² − x − 2y − 11/4 = 0
x² − x + y² − 2y = 11/4
Complete the squares.
x² − x + 1/4 + y² − 2y + 1 = 11/4 + 1/4 + 1
(x − 1/2)² + (y − 1)² = 4
The center of the circle is (1/2, 1) and the radius of the circle is 2.
Answer:
Option A
Step-by-step explanation:
[tex](\frac{1}2} ,1)[/tex], 2 units
work out the following giving your answer in its simplest form . 2 1/3 divide 1/4
Answer:
[tex]\frac{28}{3}[/tex]
Step-by-step explanation:
[tex]2\frac{1}{3}=\frac{7}{3}[/tex]
[tex]\frac{7}{3}*4=\frac{28}{3}[/tex]
Answer:
9 1/3
Step-by-step explanation:
2 1/3=7/3
7/3 divide 1/4=7/3 x 4/1=28/3=9 1/3
Mars, Inc. candy company claims the overall proportions for the colors of M&M’s are: .24 blue, .13 brown, .20 green, .16 orange, .13 red, and .14 yellow. You buy a large bag of M&M’s and observe the following counts: 105 blue, 72 brown, 89 green, 84 orange, 70 red, 80 yellow. At the 0.05 level of significance, is there evidence that the overall proportions for the colors are as stated above?
Answer:
There is insufficient statistical evidence to prove that the companies stated color distribution is not correct therefore, the overall proportions of the colors are correctly stated as above
Step-by-step explanation:
We have that
H₀: 0.24 blue, 0.13 brown, 0.20 green, 0.16 orange, 0.13 red and 0.14 yellow
The Data given are as follows;
Hₐ: The stated distribution of M&M is incorrect
Blue Brown Green Orange Red Yellow Total
Observed: 105 72 89 84 70 80 500
Expected: 120 65 100 80 65 70
We have;
[tex]\chi ^{2}=\dfrac{\left (105-120 \right )^{2}}{120}+ \dfrac{\left (72-65\right )^{2}}{65} + \dfrac{\left (89-100\right )^{2}}{100} + \dfrac{\left (84-80\right )^{2}}{80} + \dfrac{\left (70-65\right )^{2}}{65} + \dfrac{\left (80-70\right )^{2}}{70} = 5.85[/tex]
At 6 - 1 = 5 degrees of freedom we find the p-value from the chi squared table as follows
P(0.05) at 5% degrees of freedom =11.070 hence our P-value is larger than 0.05 and we fail to reject the null hypothesis, hence there is insufficient statistical evidence to prove that the companies stated color distribution is not correct.
EXREAMLY URGENT!! WILL FOREVER THANK YOU!!!! PLS JUST TAKE A LOOK!!!!! 1. What is the ratio of the sides of triangle XYZ?
Answer:
Dear Laura Ramirez
Answer to your query is provided below
The ratio of triangle XYZ is 1:√3 :2.
Step-by-step explanation:
A 30-60-90 right triangle (literally pronounced "thirty sixty ninety") is a special type of right triangle where the three angles measure 30 degrees, 60 degrees, and 90 degrees. The triangle is significant because the sides exist in an easy-to-remember ratio: 1:√3 :2.
Lettuce is planted on a 46-acre field. The field is divided into one-acre subplots. A sample is taken from each subplot to estimate the harvest. What type of sampling is used? A. Convenience sampling is used, since the lettuce plants closest to the barn are sampled. B. Stratified sampling is used, since the field is divided into subplots and a random sample is taken from each subplot. C. Cluster sampling is used, since the field is divided into subplots, a number of subplots are selected, and every lettuce plant in the selected subplots is sampled. D. Simple random sampling is used, since each sample of lettuce plants of the same amount has the same chance of being selected.
The correct answer is B. Stratified sampling is used since the field is divided into subplots and a random sample is taken from each subplot.
Explanation:
Sampling refers to the process followed by researchers to select a group of individuals from a larger group; considering in most studies it is not possible to analyze all the population. In the case of stratified sampling, this involves dividing the general population into smaller groups, which are known as strata; after this, the researcher selects a specific number of individuals from each strata. This method guarantees the sample is selected randomly, and therefore the study is not biased. Stratified sampling was the method used in the example described because, in this, the general population (46-acre field) was divided into subplots that represent the strata. Also, after this, the researcher selected one random sample.
Need geometry answer
Answer:
x = 4.1 cm
Step-by-step explanation:
The long leg of the right triangle is half the chord length, so is ...
15.6 cm/2 = 7.8 cm
Then the leg marked x can be found from the Pythagorean theorem.
x^2 +7.8^2 = 8.8^2
x = √(77.44 -60.84) = √16.6 ≈ 4.1
x is about 4.1 cm.
Do consumers spend more on a trip to Target or Walmart? Suppose researchers interested in this question collected a systematic sample for 84 Target customers and 80 Walmart customers by asking customers for their purchase amount as they left the store. Using the given summary statistics, researchers calculated a 95% confidence interval for the mean difference between Target and Walmart purchase amounts. The interval was ($negative 15.05,$negative 2.95). Explain in context what this interval means.
Answer:
Step-by-step explanation:
Confidence interval for the difference between two population means is written in the form,
difference in sample means ± margin of error
The difference in sample means is the point estimate for the difference in population means. In the given scenario, the point estimate is the difference in mean amount spent by the sampled customers on a trip to Target or Walmart.
Since the interval was (- $15.05,$2.95), it means that the lower limit is - $15.05 and the upper limit us $2.95.
Therefore, the 95% confidence interval is providing a range that we are 95% confident that the true difference in mean amount spent by Target customers and Walmart customers falls between - $15.05 and $2.95
A type of bacterium triples in population every hour. Assuming you start with
90 bacteria, the formula that models the number of bacteria at the beginning
of hour nis:
a(n) = 90.3n-1
How many bacteria will there be at the beginning of hour 5?
Answer:
7290
Step-by-step explanation:
Put 5 in the formula and evaluate.
a(5) = 90·3^(5-1) = 90·81 = 7290
There will be 7290 bacteria at the beginning of hour 5.
State if each scenario involves a permutation or a combination. Then find the number of possibilities.
The batting order for seven players on a 8 person team.
a)Permutations: 120.960
b)Combinations: 20,160
c)Permutations: 40320
d)Combinations: 8
Answer:
c) Permutations: 40320
Step-by-step explanation:
We have that permutations are groupings in which the order of the objects matters. Combinations are groupings where content matters but order does not.
In this case, then the batting order, therefore the order does matter, therefore, it would be a permutation, where n = 8 and r = 7
nPr = n! / (n-r)!
Replacing:
8P7 = 8! / (8-7)! = 40320
Which means that the answer is c) Permutations: 40320
A blueprint of a new house has a scale of 1inch 5 feet The length of the family room on the family room on the drawing is 4/4 inches. How long is the family room
Answer:87
Step-by-step explanation:
866
what’s the correct answer for this question?
The amount of Jen’s monthly phone bill is normally
distributed with a mean of $55 and a standard deviation of $12. What percentage of her phone bills are between $19 and $91?
Answer:
[tex]P(19<X<91)=P(\frac{19-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{91-\mu}{\sigma})=P(\frac{19-55}{12}<Z<\frac{91-55}{12})=P(-3<z<2)[/tex]
And we can find this probability with this difference and using the normal standard distribution
[tex]P(-3<z<3)=P(z<3)-P(z<-3)=0.9987 -0.00135 =0.9974[/tex]
Step-by-step explanation:
Let X the random variable that represent the amount of Jen monthly phone of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(55,12)[/tex]
Where [tex]\mu=55[/tex] and [tex]\sigma=12[/tex]
We are interested on this probability
[tex]P(19<X<91)[/tex]
And we can use the z score formula given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Replacing the info we got:
[tex]P(19<X<91)=P(\frac{19-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{91-\mu}{\sigma})=P(\frac{19-55}{12}<Z<\frac{91-55}{12})=P(-3<z<2)[/tex]
And we can find this probability with this difference and using the normal standard distribution
[tex]P(-3<z<3)=P(z<3)-P(z<-3)=0.9987 -0.00135 =0.9974[/tex]
graph the function f(x)=(x+2)(x-4). Which describes all of the values for which the graph is negative and decreasing?
Answer:
[tex]x\in(-2,1)[/tex]
Step-by-step explanation:
We are given that a function
[tex]f(x)=(x+2)(x-4)[/tex]
[tex]f(x)=x^2-2x-8[/tex]
Differentiate w.r.t x
[tex]f'(x)=2x-2[/tex]
[tex]f'(x)=0[/tex]
[tex]2x-2=0[/tex]
[tex]2x=2\implies x=\frac{2}{2}=1[/tex]
Therefore, intervals
[tex](-\infty,1),(1,\infty)[/tex]
Interval :[tex](-\infty,1)[/tex]
x=0
[tex]f'(0)=-2<0[/tex]
Decreasing function.
Interval:[tex](1,\infty)[/tex]
Substitute x=2
[tex]f'(2)=2(2)-2=2>0[/tex]
Function increasing.
From given graph we can see that function is negative for the values of x
-2<x<4
Hence, the graph is negative and decreasing for the values of x
[tex]x\in(-2,1)[/tex]
Answer:the answer is c/ all real values of x where 1<x<4
Step-by-step explanation:
edge 2020
if AB = 3, AD= 5, andDE= 6, what is the length of BC?
Answer:
D. 3.6
Step-by-step explanation:
=> Taking proportionality of the similar sides to find BC
[tex]\frac{AB}{AD}=\frac{BC}{DE}[/tex]
[tex]\frac{3}{5} = \frac{BC}{6}[/tex]
Multiplying 6 to both sides
[tex]BC = 0.6 * 6[/tex]
BC = 3.6
Please answer this correctly
Answer:
SA = 1,176 ft².
Step-by-step explanation:
To find the surface area of the triangular prism, we can solve for the rectangular base, both triangular faces, and lateral sides separately.
For the rectangular base: (Use formula l×w)
20 × 18 = 360 ft²
For the triangular faces: (Use formula 1/2(b·h)
1/2(18 × 12) = 108 ft²
Since there are two faces, we need to double the amount.
108 × 2 = 216 ft².
Finally, solve for the lateral sides:
20 × 15 = 300 ft².
There are two sides, so:
300 × 2 = 600 ft².
Add up all of these areas:
600 + 216 + 360 = 1,176 ft²
The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is
unknown
What is the smallest possible perimeter of the triangle, rounded to the nearest tenth?
41.0 in
512 in
724 in
81.2 in
Answer:
(C)72.4 in
Step-by-step explanation:
Given an acute triangle in which the longest side measures 30 inches; and the other two sides are congruent.
Consider the attached diagram
AB=BC=x
However to be able to solve for x, we form a right triangle with endpoints A and C.
Since the hypotenuse is always the longest side in a right triangle
Hypotenuse, AC=30 Inches
Using Pythagoras Theorem
[tex]30^2=x^2+x^2\\900=2x^2\\x^2=450\\x=\sqrt{450}\\x=21.21$ inches[/tex]
Therefore, the smallest possible perimeter of the triangle
Perimeter=2x+30
=2(21.21)+30
=42.42+30
=72.4 Inches (rounded to the nearest tenth)
There are 11 apples in a basket. 9 of these apples are green. The rest of them are red. What is the ratio of red apples to all apples in the basket? What is the ratio of red apples to green apples?
Answer:
Red apples to all apples =2/11
Red apples to green apples =2/9
Step-by-step explanation:
There are 11 total apples 9 of them are green and the rest are red so there are 11-9=2 red apples
The ratio of red apples to all apples = number of red apples ÷ total apples number = 2÷11
The ratio of red apples to green apples = number of red apples ÷ number of green apples = 2÷9
Answer:
Red apples to all apples =2/11
Red apples to green apples =2/9
Step-by-step explanation:
There are 11 total apples 9 of them are green and the rest are red so there are 11-9=2 red apples
The ratio of red apples to all apples = number of red apples ÷ total apples number = 2÷11
The ratio of red apples to green apples = number of red apples ÷ number of green apples = 2÷9
Step-by-step explanation:
Write the equation of the line that passes through the points (6,2) (4,1)
Answer: y=1/2x-1
Step-by-step explanation:
To find the equation of the line that passes through the points, we need to find out slope, m.
[tex]m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
We plug our points into this formula to find slope.
[tex]m=\frac{1-2}{4-6} =\frac{-1}{-2} =\frac{1}{2}[/tex]
Our slope is 1/2. To find our y-intercept, b, we would plug any point into the equation for slope-intercept form.
y=mx+b
y=1/2x+b
1=1/2(4)+b
1=2+b
b=-1
Now that we know b, our equation is y=1/2x-1.
How much will you save If you buy an Item listed at $575.50 at a 30 percent discount?
OA. $172.65
OB.
$176.25
O C. $185.63
Reset
Next
Answer:
Answer is A $172.25
Step-by-step explanation:
Step 1: Our output value is 575.50.
Step 2: We represent the unknown value with $x$.
Step 3: From step 1 above,$575.50=100\%$.
Step 4: Similarly, $x=30\%$.
Step 5: This results in a pair of simple equations
$575.50=100\%(1)$.
$x=30\%(2)$.
Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both
equations have the same unit (%); we have
$\frac{575.50}{x}=\frac{100\%}{30\%}$
Step 7: Again, the reciprocal of both sides gives
$\frac{x}{575.50}=\frac{30}{100}$
$\Rightarrow x=172.65$
Therefore, $30\%$ of $575.50$ is $172.65$
Answer:
The total that will be saved at a 30% discount is $172.65
Explanation:
Since, the marked up price of the item will be $575.50,
and the discount percentage is 30%,
Therefore, $ 172.65 will be saved.
Determine the center and radius of the circle described by the question.
(X+2)
The question is incomplete, I will however explain, with an illustration, how to determine the center and radius of a circle.
Step-by-step explanation:
The standard equation of a circle is given as:
(x - a)² + (y - b)² = r² ........................(1)
Where (a, b) is the center of the circle, and r is the radius.
An expression can be given for us to find the center and the radius of the circle.
Suppose we were given the expression:
x² + y² - 10x + 4y - 7 = 0.....................(2)
To find the center and the radius, it is left for us to rewrite (2) in the form of (1).
Rearranging (2), we have
(x² - 10x) + (y² + 4y) = 7
Completing the squares of each bracket
(x² - 10x + 25 - 25) + (y² + 4y + 4 - 4) = 7
(x² - 10x + 25) + (y² + 4y + 4) - 25 - 4 = 7
(x² - 10x + 25) + (y² + 4y + 4) - 29 = 7
(x - 5)² + (y + 2)² = 7 + 29
(x - 5)² + (y + 2)² = 36
Or
(x - 5)² + (y + 2)² = 6² .....................(3)
Comparing (3) with one, we see that
a = 5, b = -2, and r = 6
Therefore it is a circle centered at (5, -2) with a 6 unit radius.
plsss help meeeeeee I would really appreciate it I would be really happy if u help meeee
[tex]the \: answer \: is \: 22.4 \: cm \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]
The length of AE is 22.4cm rounded to one decimal place.
Solve 5x - c = k for x.
Answer:
Step-by-step explanation:
5x - c = k
Add c to each side
5x - c+c = k+c
5x = (k+c)
Divide each side by 5
5x/5 = (k+c)/5
x = (k+c)/5
Answer:
x=(k+c)/5
Step-by-step explanation:
5x-c=k (Original Equation)
5x-c+c=k+c (Addition Property of Equality)
5x=k+c (Simplify)
x=(k+c)/5 (Division Property of Equality)
Find the nth term of this number sequence 7,10,13,16
Answer:
aₙ = 7 +3(n -1)
Step-by-step explanation:
The numbers in the given sequence have a common difference, so this is an arithmetic sequence. The formula for the n-th term applies.
aₙ = a₁ +d(n -1)
ApplicationThe first term is 7. The common difference is 10-7 = 3. Using the above formula for the n-th term, we find it to be ...
aₙ = 7 +3(n -1)
__
Additional comment
This can be simplified to ...
aₙ = 3n +4
Which equation has two real solutions?
A. x2 = –100
B. 5x2 = 1
C. 6x2 + 17 = 11
D. 7(x2 + 6) = 42
Answer:
B. 5x² = 1Step-by-step explanation:
A. x² = –100
This equation has no solution because x² is always positive.
B. 5x² = 1
then x² = 1/5
then x = 1/(√5) or x = -1/(√5)
C. 6x² + 17 = 11
then 6x² = 11 - 17 = -6
then x² = -6/6 = -1
This equation has no solution because x² is always positive.
D. 7(x + 6) = 42
then x + 6 = 42/7 = 6
then x = 6 - 6 = 0
_____________________
:)
Perhaps the most popular fighter since the turn of the decade, Ronda Rousey is famous for defeating her opponents quickly. The five number summary for the times of her first 12 UFC (Ultimate Fighting Championship) fights, in seconds, is .(a) Only three of her fights have lasted more than a minute, at 289, 267, and 66 seconds, respectively. Use the IQR method to see which, if any, of these values are high outliers. (b) Are there any low outliers in these data, according to the IQR method? (c) Draw the boxplot for Ronda Rousey's fight times. (d) Based on the boxplot or five number summary, would we expect Ronda's mean fight time to be greater than or less than her median?
Answer:
Step-by-step explanation:
Hello!
The variable of interest is "the time a fight lasts" measured in seconds
The five number summary for her first 12 UFC fights are:
Minimum: Min= 14
First Quartile: Q₁= 25
Second Quartile/Median: Me= 44
Third Quartile: Q₃= 64
Maximum: Max= 289
a)
Three of her fights lasted more than one minute: 289, 267, 66. Out of these three fights, you have to determine if they are outliers using the IQR method.
The IQR is the distance between the third quartile and the first quartile
IQR= Q₃ - Q₁= 64 - 25= 39
Remember, an outlier is an observation that is significantly distant from the rest of the data set. They usually represent experimental errors (such as a measurement) or atypical observations. Some statistical measurements, such as the sample mean, are severely affected by this type of values and their presence tends to cause misleading results on a statistical analysis.
Considering the 1st quartile (Q₁), the 3rd quartile (Q₃) and the interquartile range IQR, any value X is considered an outlier if:
X < Q₁ - 1.5 IQR
X > Q₃ + 1.5 IQR
Or extreme outliers if:
X < Q₁ - 3 IQR
X > Q₃ + 3 IQR
The limits that define if a value is an outlier or not are:
X < 25 - 1.5*39 = -33.5
X > 64 + 1.5*39= 122.5
And for extreme outliers:
X < 25 - 3*39 = -92
X > 64 + 3*39= 181
So fights that lasted less than -33.5 or more than 122.5 seconds are to be considered outliers, and those who lasted less than -92 or more than 181 seconds are extreme outliers.
Out of the three fights, the ones that lasted 289 and 267 seconds can be considered extreme values.
b) The minimum observed value for this data set is 14 seconds, values are considered to be outliers if they are less to -33.5, so there is no low outliers on the sample.
As you can see, both values that allow you to determine if the observation is an outlier or not are negative, since the variable is "the time a fight lasts" it is impossible for it to have negative values. The lowest value of time a fight can last is "zero seconds". Although mathematically correct, these values make no sense.
c)
See attachment.
d)
The average or mean is a measurement of central tendency that shows you the value around which most of the distribution will be. It is very affected by the presence of outliers, especially extreme ones. Outliers make the mean "move" towards them, this means, that if there are small outliers, then the mean will move to the lower side of the distribution. But if the outliers are big, then the mean will move to the higher side of the distribution.
For example, let's say 5 of the fight times were:
10, 37, 49, 51, 68
For these values the mean would be:
X[bar]₀= ∑X/n= (10+37+49+51+68)/5= 215/5= 43
Now let's change one of these values for an extreme one:
Small value:
0, 37, 49, 51, 68
X[bar]₁= ∑X/n= (0+37+49+51+68)/5= 205/5= 41
⇒ As you can see, one change for a smaller value reduces the mean value X[bar]₁ < X[bar]₀
Big value:
10, 37, 49, 51, 268
X[bar]₂= ∑X/n= (10+37+49+51+268)/5= 415/5= 83
⇒ In this case, changing one of the 5 values to a bigger one moved the mean to the right: X[bar]₀ < X[bar]₂
So for the given distribution, since there are at least two high outliers, you'd expect the mean to be greater than the median.
I hope this helps!
A research firm regularly conducts customer satisfaction surveys for an amusement park. A survey of 100 randomly selected park visitors on a weekday in May concluded the average age of visitors to the park was 37 years. When the survey was repeated with 100 randomly selected park visitors on a Saturday in May the average age of visitors to the park was determined to be 17 years
a) What is the population of interest in this situation?
b) How many samples were described?
c) Is the average age of 37 years a parameter or a statistic?
d) Tell whether this information represents a quantitative or qualitative variable? - age of the visitor - whether the visitor has a season pass
e) What possible explanation is there for the large difference in age between the two samples?
Answer:
(a) The population of interest in this situation is the average age of visitors to the park in MAY during weekdays or weekends.
(b) Two samples are described in the above situation, that is;
A survey of 100 randomly selected park visitors on a weekday in May.A survey of 100 randomly selected park visitors on a Saturday in May.(c) The average age of 37 years is a statistic.
(d) The above information represents a quantitative variable.
(e) The possible explanation for the large difference in age between the two samples would be that during weekdays most of the teenagers or children below 20 years of age are not able to come to parks because of their schools, coachings or some studies related work.
Step-by-step explanation:
We are given that a research firm regularly conducts customer satisfaction surveys for an amusement park. A survey of 100 randomly selected park visitors on a weekday in May concluded the average age of visitors to the park was 37 years.
When the survey was repeated with 100 randomly selected park visitors on a Saturday in May the average age of visitors to the park was determined to be 17 years.
(a) The population of interest in this situation is the average age of visitors to the park in MAY during weekdays or weekends.
(b) Two samples are described in the above situation, that is;
A survey of 100 randomly selected park visitors on a weekday in May.A survey of 100 randomly selected park visitors on a Saturday in May.(c) The average age of 37 years is a statistic as it is the sample average age of visitors to the park on a weekday, i.e. [tex]\bar X_1[/tex] = 37 years.
(d) The above information represents a quantitative variable because in this we are concerned about the average age of visitors in the park which is a numeric value and we are not interested in any qualitative aspect.
(e) The possible explanation for the large difference in age between the two samples would be that during weekdays most of the teenagers or children below 20 years of age are not able to come to parks because of their schools, coachings or some studies related work.
But during weekends like Saturday, the schools or coaching institutions are generally closed due to which they are able to come to parks to play and because of this there are large number of children below 20 years of age who visit parks on weekends.
Select the correct answer from each drop-down menu. A quadrilateral has vertices A(11, -7), B(9, -4), C(11, -1), and D(13, -4). Quadrilateral ABCD is a . If the vertex C(11, -1) were shifted to the point C′(11, 1), quadrilateral ABC′D would be a .
Answer:
Quadrilateral ABCD is a Quadrilateral with four equal sides so either a rhombus or square
But
Quadrilateral ABC'D is a quadrilateral with two adjacent sides equal so it's a kite shape
Step-by-step explanation:
(11, -7), B(9, -4), C(11, -1), and D(13, -4).
Let's take out the values of x and y coordinate with the way they are arranged
X = 11,9,11,13
Y = -7,-4,-1,-4
So we observe that distance of the coordinates on either x is 2 units and y is 3 units.
But when the the value was changed to
C′(11, 1), (11, -7), B(9, -4), C′(11, 1), and D(13, -4).
There was difference of 2 unit and 4 unit making the new shape a kite.
The diagram attached explain better
Answer:
1. rhombus with non-perpendicular adjacent sides
2. kite
Step-by-step explanation:
i just got it right on edmentum.
Please mark as brainliest.
what is the equation of the line that passe through the points (-3,-3) and (3,1)
Answer:
work is shown and pictured
Indigo Depot is having a clearance sale of their summer items. A swimsuit that originally cost $120 before any discount is on sale for 15% off. If the swimsuit is then put on clearance for an additional 40% off the sale price, what is the final price? Round your answer to the nearest cent, if necessary.
Answer:
20
Step-by-step explanation:
Answer:
$61.20
Step-by-step explanation:
15% sale:
$120 - 15%= $120*0.85= $10240% sale:
$102 - 40%= $102*0.6= $61.20Does anybody know how to do this it's about angles
Answer:
isn't X=21 because it's a right angle and you just do 90-69=21?
Answer:
alpha = 21°
Step-by-step explanation:
You see that this rectangle has four right angles, meaning each of 90 °
That is why it is called a rectangle in the first place. ( The 'rec' in rectangle stands for 'right' or 'streight' and it indicates all angles in the rectangle being 90 °).
Anyway, corner alpha added with the given angle of 69 ° must there fore add up to the value of a streight corner, right?
apha + 69 = 90
alpha = 90 - 69
alpha = 21°