Answer:
A.
Step-by-step explanation:
Minor arcs are arcs that are less than 180°. If that is the case, then our only option would be A.
The first step in solving for the variable / in the equation P= 21 + 2w is:
A. Add the 2w to both sides of the equal sign.
B. Subtract the 2w to both sides of the equal sign.
C. Divide the 2 to both sides of the equal sign.
D. None of these choices are correct.
What is the sum of the measures of the interior angles of the stop sign?
Answer:
Sum of Interior Angles = (Number of Sides -2) • 180 degrees
Sum of Interior Angles = (8 -2) * 180 = 1,080
Which of the following options have the same value as 30\%30%30, percent of 818181?
Answer:
Option B is correct = [tex]0.3 \times 81[/tex]
Step-by-step explanation:
The complete question is: Which of the following options have the same value as 30% of 81?
Group of choices is:
(A) [tex]\frac{30}{100}\times 81 \times 100[/tex]
(B) [tex]0.3 \times 81[/tex]
(C) [tex]0.03 \times 81[/tex]
(D) [tex]\frac{3}{10}\times 81 \times 10[/tex]
(E) [tex]30 \times 81[/tex]
Now, the expression given to us is 30% of 81.
Simplifying the above expression we get;
30% of 81 = [tex]\frac{30}{100} \times 81[/tex]
= [tex]\frac{3}{10} \times 81[/tex] = [tex]0.3 \times 81[/tex]
Now, we will solve each of the given options and then see which option matches with our calculation.
Option (A) is given;
[tex]\frac{30}{100}\times 81 \times 100[/tex] = [tex]30 \times 81[/tex]
This doesn't match with our answer, so this option is not correct.
Option (B) is given;
[tex]0.3 \times 81[/tex]
This matches with our answer, so this option is correct.
Option (C) is given;
[tex]0.03 \times 81[/tex]
This doesn't match with our answer, so this option is not correct.
Option (D) is given;
[tex]\frac{3}{10}\times 81 \times 10[/tex] = [tex]3 \times 81[/tex]
This doesn't match with our answer, so this option is not correct.
Option (E) is given;
[tex]30 \times 81[/tex]
This doesn't match with our answer, so this option is not correct.
What is the simplified expression for...
Answer:
3^2
Step-by-step explanation:
=3^3+3/3^4
=3^6/3^4
=3^6-4
=3^2
Answer:
The answer is option C.
3²Step-by-step explanation:
Use the rules of indices. When the are the same and are multiplying we add the exponents if they are dividing we subtract the exponents.
That's
[tex] \frac{ {3}^{3} \times {3}^{3} }{ {3}^{4} } \\ = \frac{ {3}^{3 + 3} }{ {3}^{4 } } \\ = \frac{ {3}^{6} }{ {3}^{4 } } \\ = {3}^{6 - 4} \\ \\ = {3}^{2} [/tex]
Hope this helps you
#2 find domain and range using interval notation
Hey there! :)
Answer:
D: [-3, 1).
R: [ -8, 1].
Step-by-step explanation:
Examine the graph. Notice there is a closed and open circle.
Closed circles require the ] bracket to be used, while:
Open circles require the ) bracket. Therefore:
Domain:
The domain is from x = -3 to x = 1. Therefore:
D: [-3, 1).
The range, or y values in this function are from -8 to 1. Therefore:
R: [ -8, 1].
*** The range for this graph can be tricky. Remember, in this instance the highest point of the graph was at x = 0, not at x = 1 where the graph ended.
A piece of string is 120 centimeters long. How long would the piece of string measure in meters?. Enter your answer in the box.
Answer:
1.2 metres
Step-by-step explanation:
1 metre = 100cm
so 120cm has 120 cm * 1 m/ 100cm = 1.2 m
Fiona solved the equation shown 1/2-1/3(6x-3)=-13/2 what is the missing step of her solution?
Answer:
Summation of the non variable Expression within the quality sign
1/2 + 1-2x= -13/2
3/2-2x= -13/2
Step-by-step explanation:
1/2-1/3(6x-3)=-13/2
First step
Using the distributive property to simply
1/2-(6x/3)+(3/3)=-13/2
1/2 -2x +1 = -13/2
Second step
Summation of the non variable Expression within the quality sign
1/2 + 1-2x= -13/2
3/2-2x= -13/2
Third step
Isolating the variable Expression by using the addition property of equality
-2x = -13/2 - 3/2
-2x = -16/2
Fourth step
Isolating the variable by using the division property of equality
-2x = -16/2
X = -16/2 * -1/2
X = -16/-4
X= 4
Answer:
Simplify by combining like terms
Step-by-step explanation:
25% of a class do not play basketball.
27 children do play. How many
children are in the class?
Answer: 36 children
Step-by-step explanation:
3/4 of the class plays basketball. Thus 3/4x=27. Multiply each side by 4/3 to get x = 36
Determine the domain and range of this,
x²+ y² = 16
Answer:
Step-by-step explanation:
x^2 + y^2 = 16
Both the domain and range are :
-4≤x≤4
-4≤y≤4
Example
x^2= 16
√x^2 = √16
x = 4,-4
√y^2= √16
y = -4, 4
To raise money the youth club bought 90 kg of pecans for $297.90. They sold the pecans in 250 g bags for $1.90 each. How much profit did they make?
Answer:
Profit = $6,922.1
Step-by-step explanation:
Total weight of pecans = 950 kg
1 kg = 1000g
Total weight of pecans in gram = 950 *1000 g = 950,000 g
Note : we have calculated weight in gram as later in question weight of pecans in bag is given in gram so to make uniformity in unit of weight)
Given quantity one bag can store = 250 g
let there be x bag to store 950,000 g of pecan
weight of x bag = quantity one bag can store*x = 250x (this will be equal to total weight of pecan as given)
250 x= 950,000 g
=> x = 950000/250 = 950*4 = 3800
Thus, there are 3800 bags.
Selling price for 1 bag = $1.90
Selling price for 3800 bag = $1.90*3800 = $7,220
we know profit = selling price - cost price
given cost price of 950 kg pecan = $297.90
Profit = $7,220 - $297.90 = $6,922.1 (answer)
The data is given as follow. xi 2 6 9 13 20 yi 7 18 9 26 23 The estimated regression equation for these data is = 7.6 + .9x. Compute SSE, SST, and SSR (to 1 decimal). SSE SST SSR What percentage of the total sum of squares can be accounted for by the estimated regression equation (to 1 decimal)? % What is the value of the sample correlation coefficient (to 3 decimals)?
Answer:
✓SSE = 127.3
✓SST = 281.2
✓SSR = 153.9
✓percentage of the total sum of squares = 54.73%
✓The value of the sample correlation coefficient= 0.7398
Step-by-step explanation:
Given:
xi :2 6 9 13 20
yi:7 18 9 26 23
The given regression equation = 7.6 + 0.9 x.
we need to calculate the required SSE, SST and SSR , after this The percentage of total sum of squares can be computed. To do this we need to find the square difference between the actual value of y and average value of y, also the difference between actual value and predicted y value.
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION.
Discover the smallest square number
that can be written using five different
Roman numerals.
Divide this number by 24
Answer:
The smallest square number that can be written using five different Roman numerals is 10,000.
The result of the number divided by 24 is [tex]416 \dfrac{2}{3}[/tex]
Step-by-step explanation:
The lowest digit which can be written using five different Roman numerals is 10,000.
Therefore, the smallest square number must be greater than or equal to 10,000.
[tex]\sqrt{10,000} =100[/tex]
Therefore, the smallest square number that can be written using five different Roman numerals is 10,000.
Next, we divide the number by 24.
[tex]10,000 \div 24 =416 \dfrac{2}{3}[/tex]
The result of the number divided by 24 is [tex]416 \dfrac{2}{3}[/tex]
Not sure how to solve this
Step-by-step explanation:
You just have to plug the numbers they give you into the equation. For the first one, you have 0 + 5y = 10; 5y = 10; y = 2. For the second one, x + 5(0) = 10; x + 0 = 10; x = 10. And lastly, for the third one, x + 5(6) = 10; x + 30 = 10; x = -20.
Convert.
5 days =
lao
hours
Answer:
120 Hours
Step-by-step explanation:
24 hours in a day
5 days
24 x 5 = 120
A new drug is introduced that is supposed to reduce fevers. Tests are done with the drug. The drug is given to 40 people who have fevers. It is found that the mean time that it takes for the fever to get back to normal for this test group is 320 minutes with a standard deviation of 60 minutes. Find the 90% confidence interval for the mean time that the drug will take to reduce all fevers for all people.
Answer:
The 90% confidence interval for the mean time that the drug will take to reduce all fevers for all people is between 304 minutes and 336 minutes
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 40 - 1 = 39
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.685
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.685\frac{60}{\sqrt{40}} = 16[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 320 - 16 = 304 minutes
The upper end of the interval is the sample mean added to M. So it is 320 + 16 = 336 minutes
The 90% confidence interval for the mean time that the drug will take to reduce all fevers for all people is between 304 minutes and 336 minutes
"Currently, only 20 percent of arrested drug pushers are convicted", cried candidate AK in a campaign speech. "Elect me and you'll see a big increase in convictions" A year after his election a random sample of 144 case files of arrested drug pushers showed 36 convictions. For a right-tailed test, find the p-value. A. 0.12 B. 0.07 C. 0.06 D. 0.04
Answer:
B. 0.07
Step-by-step explanation:
This is a hypothesis test for a proportion.
The claim is that the proportion of convicted drug pushers is significnalty higher than 20%.
Then, the null and alternative hypothesis are:
[tex]H_0: \pi=0.2\\\\H_a:\pi>0.2[/tex]
The sample has a size n=144.
The sample proportion is p=0.25.
[tex]p=X/n=36/144=0.25[/tex]
The standard error of the proportion is:
[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.2*0.8}{144}}\\\\\\ \sigma_p=\sqrt{0.001111}=0.0333[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{p-\pi}=\dfrac{0.25-0.2}{0.0333}=\dfrac{0.05}{0.0333}=1.5[/tex]
This test is a right-tailed test, so the P-value for this test is calculated as:
[tex]\text{P-value}=P(z>1.5)=0.066\approx0.07[/tex]
Refer to the following partial ANOVA results from Excel (some information is missing).
Source of Variation SS df MS F
Between groups 210.2778
Within groups 1483 74.15
Total 2113.833
The number of treatment groups is:_______.
a- 4
b- 3
c- 2
d- 1
Answer:
a) 4
Step-by-step explanation:
Take the equation:
x + 1483 = 2113.833
Solve for x:
x = 2113.833 - 1483
x = 630.833
To find df, take the equation:
[tex]\frac{x}{y} = 210.2778[/tex]
Where x = 630.833
[tex] \frac{630.833}{y} = 210.2778 [/tex]
Solve for y:
[tex] y = \frac{210.2778}{630.833} [/tex]
[tex] y = 2.9999 [/tex]
y ≈ 3
Take number of treatments = k
Degrees of freedom, df, of numberof treatments = k - 1
Therefore,
Where df = 3, we have:
k - 1 = 3
Solve for k:
k = 3 + 1
k = 4
The number of treatment groups is 4
The number of treatment groups is (a) 4
From the partial ANOVA results, we have:
SS total = 2113.833SS within = 1483MS between = 210.2778Start by calculating the SS between using the following formula
SS between= SS total - SS within
So, we have:
SS between = 2113.833-1483
SS between = 630.833
Next, calculate the degrees of freedom (df) using:
df = SS between / MS between
So, we have:
[tex]df = \frac{630.833}{210.2778}[/tex]
Divide
[tex]df = 2.99999809775[/tex]
Approximate
[tex]df = 3[/tex]
The number of treatment groups (n) is then calculated using:
[tex]n = df + 1[/tex]
This gives
[tex]n = 3+ 1[/tex]
Add 3 and 1
[tex]n = 4[/tex]
Hence, the number of treatment groups is (a) 4
Read more about ANOVA results at:
https://brainly.com/question/15394749
In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts College, and 30% of the students were in the Education College. To see whether or not the proportions have changed, a sample of 300 students from the university was taken. Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College. Using α = .05, the conclusion of the test is that the a. proportions have not changed significantly. b. proportions follow normal distribution. c. Marascuilo procedure is more applicable. d. null hypothesis cannot be rejected.
Answer:
a. proportions have not changed significantly
Step-by-step explanation:
Given
Business College= 35 %
Arts College= 35 %
Education College = 30%
Calculated
Business College = 90/300= 9/30= 0.3 or 30%
Arts College= 120/300= 12/30= 2/5= 0.4 or 40%
Education College= 90/300= 9/30 = 0.3 or 30%
First we find the mean and variance of the three colleges using the formulas :
Mean = np
Standard Deviation= s= [tex]\sqrt{npq\\}[/tex]
Business College
Mean = np =300*0.3= 90
Standard Deviation= s= [tex]\sqrt{npq\\}[/tex]=[tex]\sqrt{0.3*0.7*300}[/tex]= 7.94
Arts College
Mean = np =300*0.4= 120
Standard Deviation= s= [tex]\sqrt{npq\\}[/tex]=[tex]\sqrt{0.4*0.6*300}[/tex]= 8.49
Education College
Mean = np =300*0.3= 90
Standard Deviation= s= [tex]\sqrt{npq\\}[/tex]=[tex]\sqrt{0.3*0.7*300}[/tex]= 7.94
Now calculating the previous means with the same number of students
Business College
Mean = np =300*0.35= 105
Arts College
Mean = np =300*0.35= 105
Education College:
Mean = np =300*0.3= 90
Now formulate the null and alternative hypothesis
Business College
90≤ Mean≥105
Arts College
105 ≤ Mean≥ 120
Education College
U0 : mean= 90 U1: mean ≠ 90
From these we conclude that the proportions have not changed significantly meaning that it falls outside the critical region.
Which of the following are solutions to the equation below?
Check all that apply.
x^2 + 3x - 18 = 0
Help ASAP
Answer: b & c
Step-by-step explanation: a p e x 2020
Which benefits do employers commonly offer to full-time employees? 401(k) plan free gasoline health insurance life insurance paid vacation rent
Answer:
401k, health insurance, life insurance, paid vacation
Step-by-step explanation:
The benefit do employers commonly offer to full-time employees should involved the 401k, health insurance, life insurance, paid vacation.
Benefits made to employees:When the employees are doing full time job so the company gives the following benefits:
heath insurancePaid vacation. Life insurance401 (k) PlanThese benefits motivates the employees to stay longer with the organization and be effective in the process which they deal with.
learn more about insurance here: https://brainly.com/question/24461491
the least integer of a set of consecutive integers _25 if the sum of these integers is 26 how many integers are in this sets
Answer:
1
Step-by-step explanation:
Scientists rely on which of the following to provide critical feedback when revising scientific explanation?
A) Null Hypothesis
B) Dogma
C) Opinion
D) Peer review
Answer:
D) Peer review
Step-by-step explanation:
Peer review aims at reviewing a scientific work either publication, research journal or ideas by a group of other scholar in the field. By doing so; Peer review helps to redefine the content of the research and ensures its originality before such can be published. Also; another significant purpose of Peer review as it provide critical feedback when revising scientific explanation is to help ameliorate the quality of the documents, supply suggestions, and also focuses on pointing out mistakes and errors where needed prior to the publication time.
Find the common ratio of the geometric sequence: 12.5,−62.5,312.5,−1562.5,…
Answer:
-5
Step-by-step explanation:
its what you multiply by to get the next number
Lyme disease is an inflammatory disease that results in a skin rash and flulike symptoms. It is transmitted through the bite of an infected deer tick. The following data represent the number of reported cases of Lyme disease and the number of drowning deaths for a rural county.
Cases of Lyme Disease Drowning Deaths Month
2 0 J
1 1 F
3 2 M
4 1 A
5 3 M
1 5 J
2 2 J
1 3 A
6 3 S
5 3 O
4 1 N
1 0 D
Requried:
a. Draw a scatter diagram of the data.
b. Determine the linear correlation coefficient between Lyme disease and drowning deaths.
c. Does a linear relation exist between the number of reported cases of Lyme disease and the number of drowning deaths?
Answer:
Step-by-step explanation:
Let cases of Lyme disease = x
x = 2, 1, 3, 4, 5, 1, 2, 1, 6, 5, 4, 1
[tex]\sum x = 35[/tex]
[tex]\sum x^2 = 139[/tex]
y = 0, 1, 2, 1, 3, 5, 2, 3, 3, 3, 1, 0
[tex]\sum y = 24[/tex]
[tex]\sum y^2 = 72[/tex]
[tex]\sum xy = 55[/tex]
[tex]S_{xx} = \sum x^2 - (\sum x)^2/n\\S_{xx} = 139 - 35^2/12\\S_{xx} = 36.92\\S_{yy} = \sum y^2 - (\sum y)^2/n\\S_{yy} = 72 - 24^2/12\\S_{yy} = 24[/tex]
[tex]S_{xy} = \sum xy - ( \sum x \sum y)/n\\S_{xy} = 55 - (35*24)/12\\S_{xy} = -15[/tex]
b) Linear correlation between Lyme disease and drowning deaths.
[tex]r = \frac{S_{xy}}{\sqrt{S_{xx}S_{yy}} }[/tex]
r = -15/ √(24*36.92)
r = -0.504
Please help find the end behavior
Answer:
the first one
Step-by-step explanation: they are all the same
Please help me......
Answer:
84cm^2
Step-by-step explanation:
A parallelogram is just like a rectange. So, that's how you find the area: length times width.
So we know the width is 7 cm and the length is 12 cm. We multiply them to get 84cm^2
Answer:
84 cm^2
Step-by-step explanation:
area of a parallelogram is base x height
so, the base is 12 cm and the height is 7 cm
that means the area will equal (12 cm)(7 cm)
12 times 7=84 cm^2
therefore, the area of this parallelogram is 84 cm^2
In a simple linear regression analysis the quantity that gives the amount by which the dependent variable changes for a unit change in the independent variable is called the
Answer:
Slope of the regression line
Step-by-step explanation:
The slope of the regression line including the intercept shows the linear relationship between two variables, and can also therefore be utilized in estimating an average rate of change.
The slope of a regression line represents the rate of change in the dependent variable as the independent variable changes because y- the dependent variable is dependent on x- the independent variable.
Find the perimeter and the area of each shape. Give your answer as a completely simplified exact value in terms of π (no approximations).
Answer:
Circumference: 12π + 8 cm,
Area: 48 ( cm )^2
Step-by-step explanation:
This figure is composed of circles, squares, and semicircles. As you can see, the squares indicate that each semicircle should have ( 1 ) the same area, and ( 2 ) the same length ( circumference ). It would be easier to take the circumference of the figure first, as it is composed of arcs part of semicircles the same length.
Circumference of 1 semicircle = [tex]\frac{1}{2}[/tex]( πd ) = [tex]\frac{1}{2}[/tex]π( 4 ) = 2π ( cm )
Circumference of Figure (composed of 6 semicircles + 2 sides of a square),
We know that 6 semicircles should be 6 [tex]*[/tex] 2π, and as the sides of a square are equal - if one side is 4 cm, the other 3 are 4 cm as well. Therefore the " 2 sides of a square " should be 2
Circumference of Figure = 6 [tex]*[/tex] 2π + 2 = 12π + 8 ( cm )
_____________
The area of this figure is our next target. As you can see, it is composed of 3 semicircles, and the area of 3 semicircles subtracted from the area of 3 squares. Therefore, let us calculate the area of 1 semicircle, and the area of 1 square first.
Area of 1 semicircle = 1/2π[tex]r^2[/tex] = 1/2π[tex](2)^2[/tex] = 2π ( cm ),
Area of 1 square = ( 4 cm )( 4 cm ) = 16 ( [tex]cm^2[/tex] )
So, the area of the figure should be the following -
Area of Figure = 3 [tex]*[/tex] 2π + 3( 16 - 2π ) = 48 ( cm )^2
name the blue shaded parts as an improper fraction
Answer :
option C is the correct answer
Hope this may help you━━━━━━━☆☆━━━━━━━
▹ Answer
[tex]\frac{13}{4}[/tex]
▹ Step-by-Step Explanation
4 Squares = x/4
13 parts are shaded in so...
The answer would be 13/4.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
8. What is the lateral area of the cone?
Answer:
[tex]190.07 \: {yd}^{2} [/tex]Option D is the correct option.
Step-by-step explanation:
Diameter (d) = 10 yd
Radius(r) = 10/2 = 5 yd
Slant height (l)= 12.1 yd
We know,
Lateral surface area of cone:
[tex]\pi \: r \: l[/tex]
[tex] = 3.14 \times 5 \times 12.1[/tex]
[tex] = 189.97 \: {yd}^{2} [/tex]
which is nearly 190.07 square yards.
Hope this helps...
Good luck on your assignment..
Answer:
[tex]190.07 {yd}^{2} [/tex]
Step-by-step explanation:
[tex]lateral \: \: area \\ = \pi \: rl \\ = 3.14 \times 5 \times 12.1 \\ = 189.97[/tex]
189.97 square yards which is nearly 190.07 square yards