Answer
A ratio is a comparison of two quantities by division. Ratios describe a part-to-part comparison or a part-to-whole comparison. Ratios are written three ways: as a fraction, with a colon, and with the word “to.” The ratio for quantity a to quantity b is : a to b, a over b, and a:b
Find the missing factor.
80 X
640.000
Emily claims that a tree height of 43 inches is an outlier for the distribution. Based on the 1.5x IQR rule for outliers, is there evidence to support the claim?
Given:
Emily claims that a tree height of 43 inches is an outlier for the distribution.
To find:
Evidence to support the claim if any.
Solution:
The starting and the end of the box in box plot are first and third quartile respectively.
From the given box plot it is clear that, [tex]Q_1=34[/tex] and [tex]Q_3=38[/tex].
[tex]IQR=Q_3-Q_1[/tex]
[tex]IQR=38-34[/tex]
[tex]IQR=4[/tex]
According to 1.5x IQR rule for outliers, all the data values lies outside the interval [tex][Q_1-1.5\times IQR,Q_3+1.5\times IQR][/tex] are outliers.
Now,
[tex]Q_3+1.5\times IQR=38+1.5(4)[/tex]
[tex]Q_3+1.5\times IQR=38+6[/tex]
[tex]Q_3+1.5\times IQR=44[/tex]
We know that, 43<44.
Since, 43 is not greater than [tex]Q_3+1.5\times IQR[/tex], therefore, 43 is not an outlier and there is no evidence to support the claim.
Therefore, the correct option is D.
/O-O\ Help no fake answers
Answer:
I want to say it is the first one and the and the third one
Step-by-step explanation:
Answer:
a, d and e
Step-by-step explanation:
3.5%=3 1/2% of 20
3.5x100=0.035 of 20
3.5+3.5=7 (x2), then 20/2 will be 10
7% of 10
8. Find the value of x.
42.3
56.4
a. 108
b. 16.5675
C. 108.6
d. 7
Answer:
i'm answer is letter b 16. 5675
I need help with number 8
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The square roots are approximately ...
√5 ≈ 2.23
√17 ≈ 4.12
√56 ≈ 7.48
√88 ≈ 9.38
√118 ≈ 10.86
These are plotted below.
The sum of two consecutive integers is
−29.
Find the numbers.
What number is one tenth of the number 0.9
Answer:
0.09
Step-by-step explanation:
First off, we can write 0.9 as a fraction. Reading this, we would say "nine tenths"; this means the number in fraction form is 9/10.
The word "of" in mathematics means we multiply. Thus when we take 1/10 "of" 9/10, we multiply the two:
1/10(9/10)
To multiply fractions, multiply the numerators and multiply the denominators:
1/10(9/10) = (1*9)/(10*10) = 9/100
Converting this back to a decimal, we read 9/100 as "nine one-hundredths"; this means decimal form is 0.09.
What is the area of the triangle below?
Answer:The area of the triangle is given by the formula mentioned below: Area of a Triangle = A = ½ (b × h) square units where b and h are the base and height of the triangle, respectively. Now, let’s see how to calculate the area of a triangle using the given formula.
Step-by-step explanation:
Simplify. Round your answer to three decimal places.
1
2
·
2
3
+ 0.345
Answer:
1/2 times 2/3 equals 0.333333....
that plus 0.345 equals 0.678
Step-by-step explanation:
The keyboard on a particular computer has a rectangular shape where the length is 332 mm and the width is 141 mm. Find the perimeter of the rectangle defined by this keyboard.
Answer:
946 mm
Step-by-step explanation:
(332*2)+(141*2)
Help? Only right answers get thanks and five stars.
There are 55 black balls and 88 red balls in an urn. If 44 balls are drawn without replacement, what is the probability that no more than 11 black ball is drawn
Answer:
[tex]Probability = \frac{70}{143}[/tex]
Step-by-step explanation:
Given
[tex]Black = 5[/tex]
[tex]Red = 8[/tex]
[tex]Total = 13[/tex]
To solve the required probability, we need to determine the number of available selections:
There are two possible scenarios;
1: All 4 selections are red.
2. 1 selection is black, while 3 others are red
Scenario 1: All Red
[tex]^8C_4 = \frac{8!}{(8-4)!4!}[/tex]
[tex]^8C_4 = \frac{8!}{4!4!}[/tex]
[tex]^8C_4 = \frac{8*7*6*5*4!}{4!4!}[/tex]
[tex]^8C_4 = \frac{8*7*6*5}{4!}[/tex]
[tex]^8C_4 = \frac{8*7*6*5}{4*3*2*1}[/tex]
[tex]^8C_4 = \frac{1680}{24}[/tex]
[tex]^8C_4 = 70[/tex]
Scenario 2: 1 Black, 3 Red
Selecting Black:
[tex]^5C_1 = \frac{5!}{(5-1)!1!}[/tex]
[tex]^5C_1 = \frac{5!}{4!1!}[/tex]
[tex]^5C_1 = \frac{5*4!}{4!*1}[/tex]
[tex]^5C_1 = 5[/tex]
Selecting Red:
[tex]^8C_3 = \frac{8!}{(8-3)!3!}[/tex]
[tex]^8C_3 = \frac{8!}{5!3!}[/tex]
[tex]^8C_3 = \frac{8*7*6*5!}{5!3*2*1}[/tex]
[tex]^8C_3 = \frac{8*7*6}{6}[/tex]
[tex]^8C_3 = 8*7[/tex]
[tex]^8C_3 = 56[/tex]
Number of Selection = 5 * 56
[tex]Selection = 280[/tex]
Total Available Selection is calculated as thus:
[tex]Available\ Selection = 70 + 280[/tex]
[tex]Available\ Selection= 350[/tex]
Next, is to calculate the number of possible selections:
i.e 4 balls out of 13
This is calculated as:
[tex]^{13}C_4 = \frac{13!}{(13-4)!4!}[/tex]
[tex]^{13}C_4 = \frac{13!}{9!4!}[/tex]
[tex]^{13}C_4 = \frac{13 * 12 * 11 * 10 * 9!}{9!4*3*2*1}[/tex]
[tex]^{13}C_4 = \frac{13 * 12 * 11 * 10}{4*3*2*1}[/tex]
[tex]^{13}C_4 = \frac{17160}{24}[/tex]
[tex]^{13}C_4 = 715[/tex]
[tex]Probability = \frac{Available\ Selection}{Possible\ Selection}[/tex]
[tex]Probability = \frac{350}{715}[/tex]
[tex]Probability = \frac{70}{143}[/tex]
What percent of all children like the Simpsons? Round your answer to the nearest tenth of a percent. Type a numerical answer.
Answer:
0.3
Step-by-step explanation:
You know the total amount of children like simpsons are 90, and the total can be calculated by adding the 100+110+90 to get the total amount of children in all groups. You then can divide 90 by 300 to get the percent.
Hope this helps!
I think that chart is a bit overdue or inaccurate xd
What is the value of 6(82)? Use place value and the distributive property. 6(82) = 6(80 + 2) = ? 432 482 492 552
Answer:
492
Step-by-step explanation:
6x82
Answer:
the answer is 492 the person above me is correct!!
Step-by-step explanation:
A $55 pair of shoes was discounted 15 percent, making the sale price $46.75. The discounted price was then discounted again by 10 percent. Explain how you would find the final price of the shoes.
Answer:
Hi there
Your answer is
$42.08
To find the final price of the shoes, we would use the 15% discounted price, $46.75, as 100% and find 10% discount of that.
46.75 = 100%
/10
4.675 = 10%
Now, subtract 10% from the 15% discounted price
46.75 - 4.675 = 42.075$ Round up
$42.08
Answer:
find the final price by subtracting 10% from the sale price of $46.75 which is $4.68 making the final price $42.07
5c.) Use this to calculate the area of a square that has perimeter 18 units.
Answer:
A= 20.25 units
Step-by-step explanation:
A= p²/16
=18²/16
=20.25 units
A survey of 73 students found that 37% were in favor of raising tuition to pave new parking lots. The standard deviation of the sample proportion is 9.8%. How large a sample (to the nearest person) would be required to reduce this standard deviation to 4.7%?
Answer:
The value is [tex]n_2 = 317[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 73
The proportion that in favor of raising the tuition is [tex]\^{p} = 0.37[/tex]
The standard deviation is [tex]s_1 = 0.098[/tex]
The required standard deviation [tex]s_2 = 0.047[/tex]
Generally the requires standard deviation is mathematically represented as
[tex]s_2 = s_1 * \sqrt{\frac{n_1}{n_2} }[/tex]
=> [tex]\frac{s_2}{s_1} = \sqrt{\frac{n_1}{n_2} }[/tex]
=> [tex]\frac{n_1}{n_2} =[\frac{s_2}{s_1} ]^2[/tex]
=> [tex]\frac{73}{n_2} =[\frac{0.047}{0.098} ]^2[/tex]
=> [tex]\frac{73}{n_2} =0.2300[/tex]
=> [tex]n_2 = \frac{73}{0.2300}[/tex]
=> [tex]n_2 = 317[/tex]
order these numbers from least to greatest, 4.509, 4.58, 4.09, 4.58258
Answer:
4.09,4.509,4.58,4.58258
Step-by-step explanation:
In a standard Normal distribution, which z-score represents the 20th percentile?
Find the z-table here.
-1.41
-0.84
0.84
1.41
Answer: B
Step-by-step explanation:
e2020
What sybol is true for this equation? 9/5 - 7/5
<
>
=
Answer:
I think it's 9/5 > 7/5
Step-by-step explanation:
Well, because 9 has more value than 7. Please don't be mad if I'm wrong.
Answer:
9\5 IS GREATER THAN 7\5
Step-by-step explanation:
WELL IF YOU LOOK YOU WILL SEE NINE IS GREATER THAN 7 EASY MATH HOPE I COULD HELP. PLEAAE MARK BRAINLYIEST
A 78 kg runner exerts a force of 69 N. What is the acceleration of the runner?(use the formula a=F/m)
Answer:
The answer is 0.88 m/s²Step-by-step explanation:
To find the acceleration given the mass and force we use the formula
[tex]a = \frac{f}{m} \\ [/tex]
where
a is the acceleration
m is the mass
F is the force
From the question
m = 78 kg
F = 69 N
We have
[tex]a = \frac{69}{78} = \frac{23}{26} \\ = 0.8846153...[/tex]
We have the final answer as
0.88 m/s²Hope this helps you
Midnight Mocha is a 24-hour café that specializes in coffee drinks. It has a drive- through that is almost fully automated. Each mug of coffee is dispensed by the automated machinery and should provide exactly 12 ounces. Recently, customers have complained that the cups appear to have too much or too little coffee. Midnight Mocha began a quality control program. Every day for 9 days they sampled 9 cups of coffee. They computed the average amount of coffee for the 9 cups and the range of values. Those values are listed below. 1 2 3 4 5 6 7 8 9 Mean 11.9 12.2 12.0 12.1 11.7 11.9 12.1 12.1 12.0 Range 0.19 0.24 0.18 0.19 0.19 0.18 0.07 0.09 0.07 Use formulas with table values to determine control limits. What would be the upper control limit (UCL) and lower control limit (LCL) for the means? (2 decimals) UCL 12.05 LCL 11.99 What would be the upper control limit (UCL) and lower control limit (LCL) for the range values? (2 decimals) UCL How many of the observations for the means are out of control? (maintain 2 decimals in comparisons) How many of the nine observations for the ranges are out of control? LCL =
Answer:
hi
Step-by-step explanation:
How much more is a 6% pay increase when your current annual salary is $62,900
Answer:
$3744
Step-by-step explanation:
whats the slope of -2,7 , 4,1
Answer:
-1
Step-by-step explanation:
slope = change of y/ change of x
here, 7-1 / -2-4 = 6/-6 = -1
Answer:
slope=1
Step-by-step explanation:
(-2,7), (4,1)
y2-y1=m 1-7 = -6 = 1
x2-x1. 4-(-2) 6
The larger of two numbers is one more than four times the smaller number . If the sum of the numbers is 61, find the numbers.
Step-by-step explanation:
Let the smaller number be x.
So, according to Question,
the larger number will be 1+4x.
Now, sum of the numbers is 61, like this:-
[tex]1 + 4x + x = 61[/tex]
[tex]5x = 61 - 1[/tex]
[tex]5x = 60[/tex]
[tex]\tt{x = \dfrac{60}{5}}[/tex]
[tex]\boxed{\tt{x = 12}}[/tex] is the required Answer.
Hope it helps :)
Determine the equation of the inverse of y = e x + 3 - 4
Answer:it would be a
Step-by-step explanation:
I got it right on odseyware
Hats, T-shirts, and jackets are sold at a rock concert. 3 hats, 2 shirts, and one jacket costs $140. Two hats, two shirts, and 2 jackets cost $170. One hat, 3 shirts, and 2 jackets cost $180. Create a system of 3 equations to model the situation. Assume the price of hats is x, shirts is y and jackets is z.
Step-by-step explanation:
3x + 2y + z = 140
2x + 2y + 2z = 170
x + 3y + 2z = 180
20. A rectangle has a length of x + 2 meters and a width of 2x - 5. (A.APR.1)
A. Write an expression for the perimeter of the rectangle. Simplify your final answer.
B. Write an expression for the area of the rectangle. Simplify your final answer.
x + 2
2x - 5
A. Perimeter =
B. Area =
C. If x is 5, what is the perimeter? What is the area?
Rubric
2 pts - Two key elements are present
1 pt - One key element is present
O pts - No key elements are present
Answer:
A:
2(x + 2) + 2(2x - 5) =
2x + 4 + 4x - 10 =
6x - 6
perimeter = 6x - 6
B:
(x+2)(2x - 5) expand the brackets:
2x² - 5x + 4x - 10
area = 2x² - x - 10
C:
area = 6x - 6 = (6 x 5) - 6 = 30 - 6 = 24
perimeter = 2x² - x - 10 = (2 x 5²) - 5 - 10 = (2 x 25) - 5 - 10 = 50 - 5 - 10 = 35
brainliest please? x
PLZ HELPPPPP WILL GIVE BRAINLIEST AND NO WRONG ANSWER PLZ
Answer:
D
Step-by-step explanation:
Answer:
D.
Step-by-step explanation:
D. because it has a proper domain and range and no other answer has correct domain/range. Therefore, D is the answer.
. A random sample of 100 children with working mothers showed that they were absent from school an average of 6 days per term with a standard deviation of 1.6 days. Provide a 98% confidence interval for the average number of days absent per term for all the children. a. Write down the equation you should use to construct the confidence interval for the average number of days absent per term for all the children. (10 points) b. Determine a 98% confidence interval estimate for the average number of days absent per term for all the children. (10 points)
Answer:
a) The equation is:
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
b) The 98% confidence interval = (5.62784, 6.37216)
Step-by-step explanation:
a. Write down the equation you should use to construct the confidence interval for the average number of days absent per term for all the children. (10 points)
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
b. Determine a 98% confidence interval estimate for the average number of days absent per term for all the children. (10 points)
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
Mean = 6 days
Standard deviation = 1.6 days
Number of samples = 100
Z score of 98% confidence interval = 2.326
Confidence interval = 6 ± 2.326 × 1.6/√100
= 6 ± 2.326 × 1.6/10
= 6 ± 0.37216
= 6 - 0.37216
= 5.62784
6 + 0.37216
= 6.37216
Therefore, the 98% confidence interval = (5.62784, 6.37216)