Answer:
The center of the plot is at $36 rather than $37
Center = $ 36
Step-by-step explanation:
The description by Margot is accurate except for the following observation
From the dot plot there are 31 dots, therefore, the center should be at the median mark of the dot plot of the graph which is the 16th dot.
By looking at the dot plot it is observed that both 16th dot and the middle of the cluster are located on the $37.
That is the point where Margot make an error is defining the center as $37, where the center is observed to be $36.
Answer:
36$
Step-by-step explanation:
Just did it.
Solve each equation and check.show all work
Answer:
z= -2
it is what it isssssss
Which statement best describes the domain and range of f(x) = -(7)¥ and g(x) = 7*?
A) f(x) and g(x) have the same domain and the same range.
B) f(x) and g(x) have the same domain but different ranges.
C) f(x) and g(x) have different domains but the same range.
D) f(x) and g(x) have different domains and different ranges.
The solution is, A) f(x) and g(x) have the same domain and the same range.
What is range & domain?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.
here, we have,
First of all, A function f from a set A to a set B is a relation that assigns to each element in the set exactly one element in the set [/tex]B[/tex]. The set is the domain (or set of inputs) of the function and the set contains the range (or set of outputs).
First.
f(x) = -7x
The graph of this equation is shown in Figure 1. As you can see this is a straight line with negative slope and does not intersect the y-axis.
So the statement that best describes this problem is:
Both the domain and the range is the set of all real numbers.
Second
g(x) = 7x
The graph of this equation is shown in Figure 2.This is also a straight line but it has positive slope. This one does not intersect the y-axis either.
Both the domain and the range is the set of all real numbers.
Hence, The solution is, A) f(x) and g(x) have the same domain and the same range.
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Round to the nearest hundredth 160(1+0.04)
Answer:
166.4
Step-by-step explanation:
160(1+0.04)
Using PEMDAS
Parentheses first
160 (1.04)
Multiply
166.4
This does not go to the hundredths place so we do not need to round
166.4
We can use the distributive property to solve: a(b + c) = ab + ac
160(1 + 0.04)
(160 * 1) + (160 * 0.04)
160 + 6.4
166.4
Best of Luck!
Identify the equivalent expression for each of the expressions below. Root(5, (m + 2) ^ 3). Root(3, (m + 2) ^ 5). Root(5, m ^ 3) + 2. Root(3, m ^ 5) + 2
Answer:
1. [tex](\sqrt[5]{(m+2)})^{3} = (m+2)^{\frac{3}{5}}[/tex]
2. [tex](\sqrt[3]{(m+2)})^{5} = (m+2)^{\frac{5}{3}}[/tex]
3. [tex]\sqrt[5]{(m)}^{3}+2 = m^{\frac{3}{5}}+2[/tex]
4. [tex]\sqrt[3]{(m)}^{5}+2 = m^{\frac{5}{3}}+2[/tex]
Step-by-step explanation:
Recall that
[tex](\sqrt[n]{x})^{m} = (x^{\frac{m}{n}})[/tex]
Where [tex]x^{m}[/tex] is called radicand and n is called index
1. Root(5, (m + 2) ^ 3)
In this case,
n is 5
m is 3
x = (m + 2)
[tex](\sqrt[5]{(m+2)})^{3} = (m+2)^{\frac{3}{5}}[/tex]
2. Root(3, (m + 2) ^ 5)
In this case,
n is 3
m is 5
x = (m + 2)
[tex](\sqrt[3]{(m+2)})^{5} = (m+2)^{\frac{5}{3}}[/tex]
3. Root(5, m ^ 3) + 2
In this case,
n is 5
m is 3
x = m
[tex]\sqrt[5]{(m)}^{3}+2 = m^{\frac{3}{5}}+2[/tex]
4. Root(3, m ^ 5) + 2
In this case,
n is 3
m is 5
x = m
[tex]\sqrt[3]{(m)}^{5}+2 = m^{\frac{5}{3}}+2[/tex]
During a game, a basketball team scored 38 points worth of two-pointers, 33
points worth of three-pointers, and 8 points worth of free throws. How many
shots did the basketball team make during the game?
Answer:
185 Points
Step-by-step explanation:
38 x 2 = 76
33 x 3 = 99
8 x 1 = 8
78 + 99 + 8 = 185
Work Shown:
"38 points worth of two-pointers" means 38/2 = 19 two point shots were made.
"33 points worth of three-pointers" means 33/3 = 11 three point shots were made
"8 points worth of free throws" means 8/1 = 8 free throws were made
In total, 19+11+8 = 38 shots were made
Professor J can grade an entire section of essays in 3 hours. His teaching assistant, M, can grade the same amount of essays in 5 hours. How long would it take them to grade the essays if they work together?
(15points) plz help!
Answer:
The time it takes them to grade the essays if they work together is 1.857 hours
Step-by-step explanation:
Let t1 is time taken by Professor J = 3 hoursLet t2 is time taken by the assistant = 5 hoursLet tb is the time taken by bothThe formula for “Work” Problems that involve two persons is
[tex]\frac{1}{t1} + \frac{1}{t2} =\frac{1}{tb}[/tex]
<=> [tex]\frac{1}{3} + \frac{1}{5} =\frac{1}{tb}[/tex]
<=> [tex]\frac{1}{tb} = \frac{8}{15}[/tex]
<=> tb = [tex]\frac{15}{8} = 1.875 hours[/tex]
The time it takes them to grade the essays if they work together is 1.857 hours
Please I need the answer
Answer:
m and n a
Step-by-step explanation:
lines m and n are parallel .
Which point is on the circle centered at the origin with a radius of 5 units? Distance formula: StartRoot (x 2 minus x 1) squared + (y 2 minus y 1) squared EndRoot
Answer:
Option A) [tex](2,\sqrt{21})[/tex]
Step-by-step explanation:
The following information is missing in the question:
A. [tex](2,\sqrt{21})[/tex]
B. [tex](2,\sqrt{23})[/tex]
C. (2, 1)
D. (2, 3)
We are given the following in the question:
A circle centered at origin and radius 5 units.
We have to find the equation of a point that lies on the circle.
Let (x,y) lie on the circle.
Distance formula:
[tex]d = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Putting
[tex](x_2,y_2) = (x,y)\\(x_1.y_1) = (0,0)\\d = 5[/tex]
We get,
[tex]5 = \sqrt{(y-0)^2 + (x-0)^2}\\\sqrt{x^2+y^2}=5\\x^2+y^2 = 25[/tex]
is the required equation of point on the circle centered at the origin with a radius of 5 units.
The point [tex](2,\sqrt{21})[/tex] satisfies the given equation.
Verification:
[tex](2)^2 + (\sqrt{21})^2\\=4 + 21\\=25[/tex]
Thus, [tex](2,\sqrt{21})[/tex] lies on the circle centered at the origin with a radius of 5 units.
Answer:
A. (2,\sqrt{21})
Step-by-step explanation:
What is the area of this shape?
Answer:
9.43
Step-by-step explanation:
find the area of the circle and take away 1/4 of the area (because the angle taken away is 90) then you have the answer.
Answer:
9.4275
Step-by-step explanation:
First you find the area of the circle without the cut portion which is
2 times 2 = 4. Then 4 times 3.14 = 12.57.
Now that we found the total area of the circle we need to subtract the removed portion. What you can see here is that the circle is cut by 25% so that means only 75% of it still remains. 75% of 12.57 is = 0.75 multiplied by 12.57 which is 9.4275
Tom goes on holiday to south africa. Tom wants to change £890 into south african rand. He wants to get as many 200 rand notes as possible. The exchange rate is £1= 18.57 rand. Work out the greatest number of 200 rand notes Tom can get for £890
Answer:
82
Step-by-step explanation:
Considering the exchange rate of £1= 18.57 rand and since he has £890 he gets equivalent of $890*18.57=16,527.3 rands
Since he wants to get as many 200 rand notes as possible then assuming he is only given 200 rand note as the highest note he gets
16, 400/2 =82 rands of 200 note
then the remaining 127.3 rands he gets in other notes and coins available
IQ is known to follow a normal distribution with a mean of 100 and a standard deviation of 15. If we chose a sample of 10 people, explain in one or two sentences why the distribution would still be considered normal even though the amount of people were under 30.
Answer:
Step-by-step explanation:
According to the central limit theorem, a distribution is said to be normal if the sample size is sufficiently large (usually n > 30) notwithstanding whether the source population is normal or skewed. But for a population that is normally distributed the theorem still holds true. for samples smaller than 30.
The shape of the sampling distribution changes with a sample size. For a large sample size, the sampling distribution starts to approximate a normal distribution.
) In a recent survey, 83% of the community favored building a police substation in their neighborhood. You randomly select 18 citizens and ask each if he or she thinks the community needs a police substation. Decide whether you can use the normal distribution to approximate the binomial distribution. If so, find the mean and standard deviation. If not, explain why.
Answer:
No, you should not approximate using the normal distribution because your sample size is too small.
Step-by-step explanation:
You can use the normal distribution in the following cases:
Your sample size is larger than 25You know that the sample size comes from a normally distributed population.Based on the rule of thumb, I would collect at least 7 more answers before using the normal distribution.
Because the sample size is too tiny, one should not use the normal distribution for approximation.
Given that,
In a recent survey, 83% of the community favored building a police substation in their neighborhood. You randomly select 18 citizens and ask each if he or she thinks the community needs a police substation.
The statistic is the study of mathematics that deals with relations between comprehensive data.
Here,
The sample size should be greater than 25, and the sample size should originate from a regularly distributed population. As the sample size of the distribution is to small normal distribution cannot be used.
Thus, Because the sample size is too tiny, one should not use the normal distribution for approximation.
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Jake makes 9 loaves of olive bread. He uses 30 grams of olives in each loaf. He started with 1 kilograms of olives. How many grams of olives does jake have left?
307 grams
730 grams
269 grams
961 grams
Jake has 730 grams left.
Step-by-step explanation:Lets start by converting the kilograms to grams. Kilos to Base is x1000
So he started with 1000 grams of olives.
How much olives did he use?
9*30=270
SO the answer is 1000-270=730
One cubic foot of chemical weighs 80 pounds. How many pounds of the chemical can a container with the dimensions shown hold
To calculate how many pounds of a chemical a container can hold, you multiply the container's volume by the weight of the chemical per cubic foot. In the example given with a container measuring 4 ft x 3 ft x 2 ft, which has a volume of 24 cubic feet, the container would hold 1920 pounds of a chemical that weighs 80 pounds per cubic foot.
To answer your question on how many pounds of the chemical a container can hold, we need to calculate the volume of the container first and then use the provided density to find the weight of the chemical that fits in that volume. Unfortunately, the dimensions of the container are not provided in your question, so I'll give you an example of how to do this calculation instead.
Let's assume that the container is a box with the following dimensions: length (L) = 4 feet, width (W) = 3 feet, and height (H) = 2 feet. To find the volume (V) of the container, you multiply these dimensions:
V = L x W x H
V = 4 ft x 3 ft x 2 ft
V = 24 cubic feet
Now, to find out how much chemical can fit inside this volume, we use the fact that one cubic foot of the chemical weighs 80 pounds:
Weight of chemical in container = Volume of container x Weight per cubic foot
Weight of chemical in container = 24 cubic feet x 80 pounds/cubic foot
Weight of chemical in container = 1920 pounds
So, if the container had these assumed dimensions, it could hold 1920 pounds of the chemical.
I NEED THE ANSWER ASAP!! I WILL MARK BRAINLIEST!!
write a linear equation with the given information passing through point (-6,-1) and parallel to y=2x+1
Answer:
To find the line parallel to the line y = -2/3x + 1 and passing through the point (-6, -1), we will need to know that if two lines are parallel, then their slopes are equivalent to each other.
Since we are given the slope, we need to find the y-intercept of the line. We can find the y-intercept by substituting the point (-6, -1) into a new equation with the slope of m = -2/3. Remember that slope-intercept form is y = mx + b.
y = -2/3x + b (substitute the ordered pair)
-1 = -2/3(-6) + b
-1 = 4 + b (subtract 4 from both sides)
-5 = b
Therefore, the equation of the line passing through the point (-6, -1) and parallel to y = -2/3x + 1 is y = -2/3x - 5.
Step-by-step explanation:
I NEED THE ANSWER ASAP!! I WILL MARK BRAINLIEST!!
write a linear equation with the given information passing through
In a class of 666, there are 444 students who are secretly robots.
If the teacher chooses 222 students, what is the probability that neither of them are secretly robots?
Answer:
1/15
Step-by-step explanation:
2/6 for the first one the first the second is 1/5, so 2/6=1/3, so 1/3 x 1/5 = 1/15 your answer is 1/15
A company has developed a new battery, but the average lifetime of all of the batteries it makes is unknown. In order to estimate this average, a sample of 500 batteries is tested and the average lifetime of this sample is found to be 225 hours. The 225 hours is the value of a:
Answer:
The answer here would be Statistic.Step-by-step explanation:
In Statistics,Statistic is a term which refers to the values or estimates obtained from the sample to evaluate the actual population parameters.In this instance,observe that the average lifetime of the sample of 500 batteries tested comes out to be 225 hours., which is used to estimate the actual average lifetime of all the batteries developed by the company,which is also the population of interest in the concerned study.Hence,the average lifetime of the sample of 500 batteries of 225 hours is a sample Statistic which can be tested to determine the actual average lifetime of the all the batteries produced by the company.Billy's mother had five children. The first was named Lala, the second was named Lele, the third was named Lili, the fourth was named Lolo. What was the fifth child named?
Answer:
billy
Step-by-step explanation:
its billy's mother. he/she is one of the children
The next two questions (Questions 7 and 8) refer to the following information: A Canadian study measuring depression level in teens (as reported in the Journal of Adolescence, vol. 25, 2002) randomly sampled 112 male teens and 101 female teens, and scored them on a common depression scale (higher score representing more depression). The researchers suspected that the mean depression score for male teens is higher than for female teens, and wanted to check whether data would support this hypothesis. If μ1 and μ2 represent the mean depression score for male teens and female teens respectively, which of the following is the appropriate pair of hypotheses in this case? (i) H0: μ1−μ2=0 Ha: μ1−μ2<0 (ii) H0: μ1−μ2>0 Ha: μ1−μ2=0 (iii) H0: μ1=μ2 Ha: μ1>μ2 (iv) H0: μ1−μ2=0 Ha: μ1−μ2>0 (v) Both (iii) and (iv) are correct.
Answer:
v- Both (iii) and (iv) are correct
Step-by-step explanation:
Classify the following statement as an example of classical probability, empirical probability, or subjective probability. Explain your reasoning. According to a survey, the probability that an adult chosen at random is in favor of police body cameras is about 0.39.
Final answer:
The given statement exemplifies empirical probability because it is derived from the results of a survey, which is a real-life observation.
Explanation:
The statement 'According to a survey, the probability that an adult chosen at random is in favor of police body cameras is about 0.39' is an example of empirical probability.
Empirical probabilities are calculated from real-life observations or experiments. In this case, a survey is conducted, and the probability is calculated by dividing the number of adults in favor of police body cameras by the total number of adults surveyed. Since this probability comes from actual data collected from a population, it is empirical, as opposed to theoretical probability which is based on known mathematical principles or subjective probability which is based on personal judgment or opinion.
The statement is an example of empirical probability because it is based on data from a survey, reflecting observed frequencies in favor of police body cameras.
The given statement is an example of empirical probability. Empirical probability is based on observed data or past experiences.
In this case, the probability is determined through a survey, which involves collecting and analyzing data from a sample of adults.
The observed frequency of adults in favor of police body cameras is used to estimate the probability, making it empirical.
Logan is reading about architecture and learns that trusses can be used to support roofs. He wants to find the measures of the angles on a truss.The measure of ∠AFC is 120°, and the measure of ∠BFC is 95°. Which equation can you use to find the measure of ∠AFB?
The measure of ∠AFB is -35 degrees.
Explanation:To find the measure of ∠AFB, we can use the fact that the sum of the angles in a triangle is 180 degrees. Since we are given the measures of ∠AFC (120°) and ∠BFC (95°), we can find the measure of ∠AFB by subtracting the sum of these two angles from 180 degrees:
∠AFB = 180° - (120° + 95°) = 180° - 215° = -35°
Therefore, the measure of ∠AFB is -35 degrees.
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Matias preformed an operation with 7.6 and a number. He ended up moving the decimal point in 7.6 two places to the left. Matias divided 7.6 by 10 raised to the power of
Answer:
Matias divided 7.6 by 10 raised to the power of -2.
Step-by-step explanation:
Given : Matias preformed an operation with 7.6 and a number. He ended up moving the decimal point in 7.6 two places to the left.
To find : Matias divided 7.6 by 10 raised to the power of ?
Solution :
Matias preformed an operation with 7.6 and a number.
He ended up moving the decimal point in 7.6 two places to the left we have to multiply it with 0.01
i.e. [tex]7.6\times 0.01=\frac{7.6}{100}=0.076[/tex]
So, Matias divided 7.6 by 10 raised to the power of -2.
It’s as light as a feather, but the strongest person can’t hold it for more than five minutes. What is it?
Answer:
Air? Their breath?
Answer:their breath (air)
Step-by-step explanation:
Adonis created a rectangular play area for his dog in his backyard. The length of the long side was 10ft and the length of the short side was 5ft. What is the total perimeter of the dog's play area?
Answer:
The perimeter of the dog's play area is 30 ft
Step-by-step explanation:
Rectangle:
The opposite sides are congruent.The opposite angles are congruent.The sum of all four angles of a rectangle is 360°.The sum of two adjacent angles of a rectangle is 180°.The diagonals bisect each other.The perimeter of a rectangle is = 2(Length+width)The area of a rectangle is = Length × widthGiven that,
The length of the long side of the dog's play area was = 10 ft.
So, Length of dog's play area is = 10 ft.
The length of the short side of the dog's play area was = 5 ft.
So, width of dog's play area is = 5 ft.
It is a rectangular plot.
So, the perimeter of the dog's play area is =2(Length+width)
=2(10+5) ft
=2(15) ft
=30 ft
1. Last week, Mr. Key worked for 50 hours. This week, he work for 58 hours. 2p
Find the percent of change for Mr. Key's hours worked.
SA
be
Answer:
16% increase
Step-by-step explanation:
A percentage change can be calculated from ...
percentage change = ((new value)/(old value) -1) × 100%
= (58/50 -1) × 100% = (1.16 -1) × 100%
= 16%
Mr. Key's work hours increased 16% from last week to this.
A pool is comprised of a rectangle with 2 semicircles on the ends.
The local public pool is a rectangle with two semicircles.
The area of the rectangle is .
Using 3.14 for π and rounding to the nearest meter, the area of each half circle is m2.
The area of the surface of the pool is m2.
Answer:
Step-by-step explanation:
The formula for determining the area of a rectangle is expressed as
Area = length × width
Length = 100 m
Width = 52 m
Area of rectangle = 100 × 52 = 5200 m²
A semicircle is half of a circle
The formula for determining the area of a semicircle is
Area = 1/2 × πr²
Diameter = 52 m
Radius = diameter/2 = 52/2
Radius = 26 m
The area of each semicircle is
1/2 × 3.14 × 26² = 1061.32 m²
The area of the surface of the pool is
1061.32 + 1061.32 + 5200 = 7322.64 m²
Answer:
5200
1061
7322
hope this help
What is the area of the parallelogram 1.2 cm 7cm
Answer:
8.4 cm
Step-by-step explanation:
Hope this helps!
Answer:
8.4 cm²
Step-by-step explanation:
Area of a parallelogram= base × height
= 1.2× 7 cm² = 8.4cm²
Multiply the problem,
Answer:
The answer to your question is the letter B
Step-by-step explanation:
Data
| 5 0 | | 2 - 1 |
| 3 -5 | | 2 - 2|
Process
1.- This is the product of two matrices 2 x 2 so the result will be a 2 x 2 matrix.
- Multiply the first row of the first matrix by the first column of the second matrix.
-Multiply the first row of the first matrix by the second column of the second matrix.
- Multiply the second row of the first matrix by the first column of the second matrix.
-Multiply the second row of the first matrix by the second column of the second matrix.
| 5 0 | | 2 - 1 | | (5 x 2) + (0 x 2) (5 x -1) + (0 x -2) |
| 3 -5 | | 2 - 2| = | (3 x 2) + (-5 x 2) (3 x -1) + (-5 x -2)|
= | 10 + 0 -5 + 0 |
| 6 - 10 -3 + 10|
= | 10 - 5 |
| -4 7|
Which expression gives the best estimate of 30 percent of 61?
Answer:
c
Step-by-step explanation:
D I DID THE MATH
A silver bracelet has a mass of 52.45g and volume of 5cm³ find the density of silver bracelet
Answer:
given mass is 52.45g
given volume is 5cm³
from the formula
density=mass/vol
=52.45g÷5cm³
=10.49g/cm³