Answer:
Population size:8
Lower quartile (xL): 0.925
Upper quartile (xU): 5.85
Interquartile range (xU-xL): 4.925
Step-by-step explanation:
Answer:
4.65
Step-by-step explanation:
7.8, 0.6, 1.9, 5, 5.7, 0.7, 1.6, 5.9
Sort the data
0.6, 0.7, 1.6, 1.9, 5, 5.7, 5.9, 7.8
Q1: (0.7+1.6)/2
= 1.15
Q3: (5.7+5.9)/2
= 5.8
IQR = 5.8 - 1.15
= 4.65
What is the domain of 6x+7/9x+2
Answer:
Domain of the function is (inf, -inf)
Step-by-step explanation:
Question 1
Create a triangle of your choice on the grid. Measure two of the angles on the triangle and the length of the side between the two angles. Record
the measurements in the table
Answer:
see attached
angles: 39.8°, 68.2°; side: 8
Step-by-step explanation:
The triangle and its measurements are shown in the attachment.
_____
If you do this with pencil and paper and protractor, likely your angle measurements will only be to the nearest degree.
Laurel buys 3 balls of yarn. Each ball of yarn costs $4.75. She also buys 2 pairs of knitting needles. Each pair costs $5.75. She pays for her purchase with two 20-dollar bills.What is her change?
Answer:
Her change is $14.25
Step-by-step explanation:
To work this out you would first multiply 3 by 4.75, which comes to 14.25. This is because you are finding the total for the balls of yarn. Then you would multiply 5.75 by 2, which comes to 11.5. Then you would add 14.25 and 11.5, which comes to 25.75. This is because you are now working out how much the total for the purchase is. Then you would multiply 20 by 2, which comes to 40. Then you would minus 25.75 from 40, which comes to 14.25.
1) Multiply 3 by 4.75.
[tex]3*4.75=14.25[/tex]
2) Multiply 5.75 by 2.
[tex]5.75*2=11.5[/tex]
3) Add 14.25 to 11.5.
[tex]14.25+11.5=25.75[/tex]
4) Multiply 20 by 2.
[tex]20*2=40[/tex]
5) Minus 25.75 from 40.
[tex]40-25.75=$14.25[/tex]
Final answer:
To determine Laurel's change, multiply the quantity of each item by its price, add them together, and subtract this total from the amount paid with two 20-dollar bills. The change is $14.25.
Explanation:
The student is asking how to calculate the total cost of items purchased and the change due from a transaction. To find out Laurel's change, we need to multiply the number of each item by its price and then add those amounts together. Subsequently, we subtract the total cost from the amount Laurel pays with.
First, calculate the cost for the balls of yarn. There are 3 balls at $4.75 each:
3 balls times $4.75 per ball = $14.25
Now, calculate the cost for the pairs of knitting needles. There are 2 pairs at $5.75 each:
2 pairs times $5.75 per pair = $11.50
Add the cost of the yarn and knitting needles to get the total:
$14.25 (yarn) + $11.50 (needles) = $25.75
Laurel pays with two 20-dollar bills, which is $40.00 in total. Subtract the total purchase amount from this:
$40.00 - $25.75 = $14.25 change
Which of the following best describes a function? Select all that apply.
the graphed line overlaps itself
every input has exactly one output
the graph of the relation passes the vertical line test
the graph of the relation is a straight line
Help plz
Final answer:
A function is characterized by having every input paired with exactly one output and by its graph passing the vertical line test. The graph being a straight line or overlapping itself are not definitive characteristics of a function.
Explanation:
The following statements best describe a function:
Every input has exactly one output: This means that for every x-value there is only one y-value associated with it in a function. This is a fundamental characteristic of a function.The graph of the relation passes the vertical line test: If a graph passes the vertical line test, it means that a vertical line drawn at any x-position on the graph touches the graph at no more than one point. This confirms that each value of x has a unique y-value.Not all functions have graphs that are straight lines, nor do their graphs necessarily overlap themselves. A graph can be a function even when it's not a straight line, and overlapping itself would violate the definition of a function where each input must have a unique output.
Use the drop downs to answer the following questions of finding the distance from (–6, 2) to the origin. Use (0, 0) as (x1, y1). d = StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot What is the difference of the x-coordinates, (x2–x1)? What is the difference of the y-coordinates, (y2–y1)? What is the distance from (–6, 2) to the origin?
Answer:
What is the difference of the x-coordinates, (x2–x1)?
-6
What is the difference of the y-coordinates, (y2–y1)?
2
What is the distance from (–6, 2) to the origin?
6.32
The difference between the x-coordinates, (x2–x1) is -6, and (y2-y1)=2
and The distance from (–6, 2) to the origin is 6.32.
We have given a point,
[tex](x_1,y_1)=(0,0)[/tex]
x1=0 and y1=0,
[tex]\ (x_2,y_2)=(-6,2)\\\\[/tex]
x2=-6 and y2=2,
What is the distance formula?
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have to find the difference of the x-coordinates, (x2–x1),
=-6-0
=-6
The difference of the y-coordinates, (y2–y1),
=2-0
=2
The distance from (–6, 2) to the origin,
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(6)^2+(2)^2} \\d=\sqrt{36+4} \\d=\sqrt{40}[/tex]
[tex]d=\sqrt{40} \\d=6.32[/tex]
To learn more about the distance visit:
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Juan has already run 6 miles this month. He plans to run an additional 2.5 miles per day. At this rate, how long will take Juan to run 41 miles?
Answer:
x=14
Step-by-step explanation:
Hope that helped
Answer: 14 days
Step-by-step explanation:
2.5x + 6 = 41
-6. -6
2.5x = 41
——————
2.5
x = 14
Choose 3 ratios in simplest form. 3:9
Answer:
Step-by-step explanation:
1:3
6:18
9:27
are all equivlent ratios
Final answer:
To choose 3 ratios in the simplest form, you must simplify the given ratios by dividing all the numbers by their greatest common divisor or the smallest among them. In genetics and chemistry, these simplified ratios are used to predict genetic outcomes and determine molecular compositions.
Explanation:
Choosing 3 ratios in the simplest form involves simplifying the given ratio. A ratio compares two quantities and can be written in various forms such as fractions, with a colon, or with the word 'to.' For example, 3:9, when simplified, becomes 1:3 as both numbers can be divided by 3. To express ratios as whole numbers or in the simplest form, divide all the numbers by the smallest number among them. For example, the ratio of 55:10:12 simplifies to 5.5:1:1.2, and when expressed as whole numbers, it becomes 5:1:1. In the subject of genetics, ratios such as 9:3:3:1 are used to predict outcomes based on genetic theory, and we can use data to test these ratios.
In chemistry, the mole ratio can be determined by dividing the molar amounts by the smallest molar amount. This is used to determine the ratio between different elements in a compound. For instance, if the molar amounts of elements in a compound were 0.03567 mol of Oxygen, 0.1070 mol of Carbon, and 0.2140 mol of Hydrogen, dividing each by the smallest molar amount of 0.03567 would give us a ratio that should then be expressed as whole numbers.
An aquarium has exhibits that feature different marine animals. 5/8 of the staff are male. 5/12 of the staff works part time at the aquarium. What fraction of the staff is female?
Answer:
The fraction of the staff is female is [tex]\frac{3}{8}[/tex]Step-by-step explanation:
Given that an aquarium has exhibits that feature different marine animals.
Also given that [tex]\frac{5}{8}[/tex] of the staff are male.
[tex]\frac{5}{12}[/tex] of the staff works part time at the aquarium
To find the fraction of the staff is female:Let the entire staff is represented by the fraction [tex]\frac{8}{8}[/tex].
The fraction of the staff is female is given by[tex]\frac{8}{8}-\frac{5}{8}[/tex]
[tex]=\frac{8-5}{8}[/tex]
[tex]=\frac{3}{8}[/tex]
∴ The fraction of the staff is female is [tex]\frac{3}{8}[/tex]Circle O is inscribed in square EFGH.
The circumference of circle Ois 20 centimeters.
Which of the following is closest to the perimeter
of square EFGH?
A. 27 cm
B. 24cm
C. 28.5cm
D. 24.5cm
Answer:
D) 25.5 cm
Step-by-step explanation:
Circumference = pi × d
20 = 3.14 × d
d = 6.3694267516
Diameter = length of one side
Perimeter of the square = 4s
4(6.3694267516)
25.4777070064 cm
From the options, closest is 25.5
For a regular 36-gon, what is the sum of measure of each interior angle?
Answer:
170°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2)
Here n = 36, thus
sum = 180° × 34 = 6120°
The size of each interior angle = [tex]\frac{6120}{36}[/tex] = 170°
Final answer:
The sum of the measures of each interior angle of a regular 36-gon is 6120 degrees.
Explanation:
For a regular 36-gon, or a polygon with 36 sides, we can calculate the sum of the measures of the interior angles using the formula ((n - 2) × 180°), where n is the number of sides. So for a regular 36-gon:
((36 - 2) × 180°) = (34 × 180°) = 6120°.
Therefore, the sum of the measures of each interior angle of a regular 36-gon is 6120 degrees.
I need help asap :&$/)
Nancy's Cupcakes recorded how many cupcakes it recently sold of each flavor.
chocolate cupcakes 2
pistachio cupcakes 1
banana cupcakes 5
pumpkin cupcakes 6
Considering this data, how many of the next 21 cupcakes sold would you expect to be pumpkin cupcakes?
A
9
B
7
C
6
D
3
Part B
What is probability of a chocolate cupcakes being sold?
Probability (chocolate cupcakes) =
%
Note: Write your answer as a percentage rounded to the nearest whole number.
Answer:
Part A; 9
Part B; 14%
Step-by-step explanation:
Part A;
Knowing that pumpkin cupcake = 6
Total = add all the cupcake which is 2+1+5+6 = 14
Cross multiply
[tex]\frac{6}{14}=\frac{x}{21}[/tex]
6*21 = 126
126/14 = 9
Hence, Next 21 cupcakes sold, 9 cupcake will be pumpkin cupcake
-------------------------------------------------------------------------------------------------------------
Part B;
The probability of a chocolate cupcake being sold would be equal to the amount of chocolate cupcakes divided by the total number of cupcakes.
= 2/(2+1+5+6)
= 2/14
= 1/7.
We convert 1/7 to a percent.
When rounded to the nearest whole percent, we get the probability as 14%.
[RevyBreeze]
In the next 21 cupcakes sold, we would expect approximately 9 to be pumpkin cupcakes based on the past data. The probability of a chocolate cupcake being sold, based on this data, is approximately 14%.
Explanation:The question is about predicting the expected number of pumpkin cupcakes sold based on past data and calculating the probability of a chocolate cupcake being sold.
Part A: In total, 2+1+5+6 = 14 cupcakes were sold. Out of these, 6 were pumpkin cupcakes which is approximately 43% of the total (6/14 = 0.43). If we project this percentage to the next 21 cupcakes, we would expect approximately 9 pumpkin cupcakes to be sold (0.43 * 21 = 9).
Part B: Out of the 14 cupcakes sold, 2 were chocolate. To find the probability of a chocolate cupcake being sold, you divide the number of chocolate cupcakes (2) by the total number of cupcakes (14) which is approximately 14%. So, the Probability (chocolate cupcakes) = 14 %.
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Ok second time putting this up. CAN SOMEONE HELP?!
Answer:
18x^2 - 45x + 28 , ( r + 4 )( r + 3 )
Step-by-step explanation:
Heres your answers :)
What is the slope of each line?
Line A: y=-5x-2
Line B: Y=2x+ 3
O The slope of line A--5.
The slope of line B = 2.
O The slope of line A=-2.
The slope of line B = 3.
0. The slope of line A=5.
The slope of line B=-2
The slope of line A= 3.
The slope of line B=-2
The slope of line a is -5, the slope of line b is 2.
Step-by-step explanation:
Answer:
Line A: -5
Line B: 2
Step-by-step explanation:
Hello!
Slope-Intercept Form: [tex]y = mx + b[/tex]
y = outputx = inputm = slopeb = y-interceptLine A: y=-5x-2The slope of this is the "m" value, so that would mean it would be -5.
Line B: Y=2x+ 3The slope of this would be 2, as it is the "m" value in the equation.
What is the equation of the line that passes through the point
(−5,1) and has a slope of -1/5
Answer:
i think it is x=5y
Step-by-step explanation:
Answer:
y - 1 = -1/5(x + 5)
y - 1 = -1/5x - 1
y = -1/5x
Step-by-step explanation:
What is the equation of the line that passes through the point
(−3,1) and has a slope of -2
X/6.5=0.1820
What is x equal to
Answer:
X = 1.183
Step-by-step explanation:
X/6.5=0.1820
Multiply each side by 6.5
X/6.5 * 6.5=0.1820*6.5
X = 1.183
DO YOU KNOW YOUR GOVERNMENT? According to a recent study by the Annenberg Foundation, only 36% of adults in the U.S. Could name all three branches of government. This was based on a survey given to a random sample of 1416 U.S. Adults.
Final answer:
A study by the Annenberg Foundation shows a stark lack of knowledge about the Legislative, Executive, and Judicial branches of the U.S. government. Educational resources can help improve public understanding of these branches, which are pivotal for civic engagement and democratic processes.
Explanation:
The Annenberg Foundation study highlights a concerning lack of knowledge among the U.S. adult population regarding the basic structure of their government. Despite the importance of understanding the three branches of the U.S. government, which include the Legislative, Executive, and Judicial branches, a majority of adults struggle to identify all three.
The Legislative branch is responsible for making laws and is embodied in Congress, which is divided into the House of Representatives and the Senate. The Executive branch, headed by the President, is tasked with implementing and executing the laws passed by Congress. The Judicial branch, represented by the Supreme Court and other federal courts, interprets the laws and adjudicates legal disputes under the law.
Understanding these branches and their functions is critical for civic engagement and informed participation in democratic processes. Educational resources such as videos, games, and government websites can help improve civic knowledge and awareness of the structure and roles of government.
. A random sample of 80 jars of grape jelly has a mean weight of 568 g, with a standard deviation of 48.28 g. Construct a 99% confidence interval for , the true weight of a jar of jelly.
Answer:
The 99% confidence interval is (553.7523, 582.2477)
Step-by-step explanation:
The formula for the confidence interval is
[tex]CI=\bar{x}\pm z\frac{s}{\sqrt{n}}[/tex]
Where:
s = Standard deviation
z = t[tex]_{df}[/tex] since the population variance is unknown
df = Degrees of freedom
n = Sample count
Which gives
[tex]568 \pm t_{79}(0.05\%) \frac{48.28}{\sqrt{80} }[/tex]
= 568 [tex]\pm[/tex] 2.64×5.4
(553.7523, 582.2477)
That is there is a 99% chance that the mean weight of a jar of jelly is
553.75 < μ < 582.25.
Angie bought 15 paper tablecloths for $0.75 each. If the sales tax is 8.25%, how much did Angie spend altogether?
Answer:
$12.17
Step-by-step explanation:
15($0.75)=$11.25
8.25%--> 0.0825
$11.25(0.0825)= 92cents
$11.25 + $0.92= $12.17
!!PLEASE HELP!! Stuck on this and need some help. !!40PTS!!
A basketball player made 2 out of 4 free throws she attempted which is 50%. She wants to know how many consecutive free throws more in a row she would have to make to raise her overall successful baskets divided by attempts or percent of successful free throws to 75%.
(c) Write an equation to represent this situation.
(d) Solve the equation. How many consecutive free throws would she have to make to raise her percent to 75%?
(e) Simplify the expression . Show your work.
Answer:
(2 + x)/(4 + x) = 3/44 more throwsStep-by-step explanation:
2 out of 4 throws:
2/4 = 50%Let x more throws is made to achieve 75%
Then the equation would be:
(2 + x)/(4 + x) = 75%(2 + x)/(4 + x) = 3/44(2 + x) = 3(4 + x)4x + 8 = 3x + 124x - 3x = 12 - 8x = 4Based on a poll of 100 citizens, a community action group claims that 38% of the population is in favor of the construction of a senior center using tax dollars. A business group claims that the poll is not valid and that 65% of the citizens favor the construction of the senior center using tax dollars. To determine whether this sample supports the population proportion of 0.38, a simulation of 100 trials is run, each with a sample size of 200 and a point estimate of 0.65. The minimum sample proportion from the simulation is 0.42, and the maximum sample proportion from the simulation is 0.72. The margin of error of the population proportion is found using an estimate of the standard deviation. What is the interval estimate of the true population proportion? (0.55,0.75) (0.28,0.48) (0.45,0.85) (0.18,0.58)
Answer:
(0.55, 0.75)
Step-by-step explanation:
The standard deviation and range are both used to measure the spread of a data set. The number of the range and standard deviation gives us information in its own way how spaced out the data are due to the fact that they are both a measure of variation. However, there is not an explicit relationship between the range and standard deviation, there is a rule of thumb that can be useful to relate these two statistics. This relationship is sometimes referred to as the range rule for standard deviation.
The range is estimated to be 6 standard deviations wide. Therefore, the standard deviation is:
Standard deviation= maximum sample proportion - minimum sample proportion / 6
σ = (0.72 - 0.42) / 6
σ = 0.05
The margin of error is defined as a statistic showing the amount of random sampling error in the result of a survey. The greater the margin of error, the lesser the confidence that a poll result would reflect the result of a survey of the entire population.
Here, the margin of error is ±2σ, so:
ME = ±0.10
Interval estimation in statistics is the use of sample data to compute an interval of possible values of an unknown population parameter. This is therefore in contrast to point estimation, which gives a single value.
Therefore, the interval estimate is:
(0.65 - 0.10, 0.65 + 0.10)
(0.55, 0.75)
You have a quarter, 3 nickles, 2 pennies and 4 dimes in your pocket. What's the probability that you randomly select a quarter or penny?
The spinner is divided into 8 equal sections.
A spinner is split into 8 sections labeled blue, brown, green, red, purple, brown, green, yellow.
What is the probability of spinning G, green?
One-fourth
StartFraction 3 over 8 EndFraction
One-half
Three-fourths
Answer:
3/8.
Step-by-step explanation:
You didn't give the graph but I just took that test and got it right.
Answer:
B 3/8
Step-by-step explanation:
f(t) = t^2 - 5t; Find f(-8)
Answer:
f(-8) = 104
Step-by-step explanation:
f(t) = t^2 - 5t
Let t=-8
f(-8) = (-8)^2 -5(-8)
= 64 +40
= 104
Pls mark Brainliest.
Answer:
f(-8) = 104
Step-by-step explanation:
f(-8) = (-8)^2 - 5(-8)
f(-8) = 64 + 40
f(-8) = 104
What is the surface area of the cube below?
A. 147 units2
B. 508 units2
C. 254 units2
D. 294 units2
Answer:
The answer is D
Step-by-step explanation:
Surface Area is the outside part of a shape. Opposite of Volume
To find the area of one side its L x H
So 7 x 7 = 49
Since all the sides of the cube are the same you don't need to figure out the area of the other sides
so 49 x 6 sides = 294
Answer:
SA =294 units^2
Step-by-step explanation:
The surface area of a cube is found by the following
SA = 6 s^2 where s is the side length
SA = 6* 7^2
SA = 6*49
SA =294 units^2
In order for you to answer the question correctly, please use the following image below:
Find the value of c.
What is the value of C?
Please show all the work on how you got your answer.
Answer:
28°
Step-by-step explanation:
Angle on the circumference is half the angle at the centre
c = ½(56)
c = 28°
Decide if each question is statistical or nonstatistical.
How many hours did Rahul sleep last night?
What is your favorite sport?
What is Noya's favorite book?
How far away do you live from your school?
Answer:
nonstatistical, statistical, nonstatistical, statistical
Step-by-step explanation:
Its Correct!
Answer:
nonstatistical, statistical, nonstatistical, statistical
Step-by-step explanation:
The person above right
Help me!!!!!!!!!!!!!!!!
Answer:
105, because 50% means it is half or in the middle of the box graph
A train covers a distance of 70 4/5 km in 1 hour. How much distance will it cover in 3 3/4 hours?
Answer:
the distance travelled in 3 3/4 hours is 37/8 km