Answer:
B. Sum of interior angles; converse of opposite angles theorem
Step-by-step explanation:
In statement 1, all the interior angles of the quadrilateral are added to give a sum of 360°. The reason would therefore be "sum of interior angles".
As a follow up to the already established fact that the opposite angles of the quadrilateral are congruent to each other, this satisfies the Converse of Opposite Angles Theorem, which states that if the opposite angles of a quadrilateral are congruent to each other then the quadrilateral must be a parallelogram.
Reason for the statement in number 6 is definitely "converse of opposite angles theorem."
Craig's goal was to read 25 books during the school year. He reads 8
before winter break and a before spring break. How many will he need
to read after spring break, in order to meet his goal?
Answer:
17
Step-by-step explanation:
Not lying like other ppl
Janet and Patrick surveyed a total of 219 people. Out of the 137 girls who were surveyed, 28 said summer was their favorite season and 12 said that winter was their favorite.
The results showed 22 boys said that spring was their favorite season and 8 boys said winter was their favorite.
A total of 45 people said that summer was their favorite season and a total of 74 people said that fall was their favorite season.
In this activity, you will construct two-way frequency tables to help Janet and Patrick analyze the data they gathered from their survey.
Part A
Create a two-way frequency table to represent the results of the survey by entering the appropriate data in each box.
Answer: See figure 2 in the diagram below for the table.
==========================================================
Explanation:
The steps are fairly lengthy to explain in words, but the process is fairly straightforward. Start with figure 1 in the diagram below. The letters A through O represent the steps you'll take to replace them. For instance, you'll replace A with 219 since that's the grand total. Then B is replaced with 137 since we're told that 137 girls were surveyed. Then C gets replaced with 219-137 = 82, and so on. Use arithmetic (adding and subtracting) to gradually replace each letter with the proper number as figure 2 shows. The alphabetical order directly corresponds to the order in which the values are given by your teacher (eg: 219 is first, then 137 next, and so on).
Let me know if you get stuck on any one step, or need me to go into more detail.
A frequency table is a list of objects with the frequency of each item shown in the table. The frequency table is attached with the answer below.
What is a frequency table?The frequency of an occurrence or a value is the number of times it happens. A frequency table is a list of objects with the frequency of each item shown in the table.
The steps are fairly lengthy to explain in words, but the process is fairly straightforward. Start with figure 1 in the diagram below. The letters A through O represent the steps you'll take to replace them. For instance, you'll replace A with 219 since that's the grand total.
Then B is replaced with 137 since we're told that 137 girls were surveyed. Then C gets replaced with 219-137 = 82, and so on. Use arithmetic (adding and subtracting) to gradually replace each letter with the proper number as figure 2 shows.
The alphabetical order directly corresponds to the order in which the values are given by your teacher (eg: 219 is first, then 137 next, and so on).
Let me know if you get stuck on any one step, or need me to go into more detail.
To know more about the frequency table follow
https://brainly.com/question/16148316
#SPJ2
=
Evaluating an algebraic expression: Whole nu
Evaluate the expression when b=38 and c=8,
B/2+3c^2
Simplify your answer as much as possible.
9514 1404 393
Answer:
211
Step-by-step explanation:
Put the numbers where the variables are and do the arithmetic.
b/2 +3c^2 = 38/2 +3(8^2) = 19 +3·64 = 211
Answer:
211
Step-by-step explanation:
given : b = 38 and c = 8
Evaluate :
= b/2 + 3c²
= 38 / 2 + 3 ( 8 )²
= 19 + 3 × 64
= 19 + 192
= 211
This one says (cos) , help it’s timed ! Take me through the process !
Answer:
4/5 is ur answer
Step-by-step explanation:
ok just like the last one but this one is COS
ok so we know that COS is A/H
A= adjacent and ofc H= hypotenuse
so lets see its the COS of a which means it will be A/H
A= 4 and the H=5
Help ASAP 100 PTS!!!!
Describe how to determine the average rate of change between x = 1 and x = 3 for the function f(x) = 3x3 + 1. Include the average rate of change in your answer. Please show all work and explain it thourougly.
Answer:
39
Step-by-step explanation:
Find the value of f(x) at both points
f(3) = 3(3)³ + 1 = 82
f(1) = 3(1)³ + 1 = 4
---------------------------
Average Rate of Change is just like slope
Divide the change in f(x) by the change in x
r = (82 - 4) / (3 - 1)
r = 78/2
r = 39
You are going to a 1940 mile trip, and your car get about 28 miles per gallon. Gas prices along your route average $2.95 per gallons. Calculate the cost of the trip
Answer: [tex]\$\ 204.4[/tex]
Step-by-step explanation:
Given
The total length of the trip is [tex]l=1940\ \text{miles}[/tex]
Car average is 28 miles per gallon
So, car requires
[tex]\Rightarrow \dfrac{1940}{28}=69.285\ \text{gallon}[/tex]
Price of gas is $2.95 per gallons
[tex]\therefore \text{cost is =}69.285\times 2.95\\\Rightarrow \$\ 204.4[/tex]
So, the cost of the trip is [tex]\$\ 204.4[/tex]
ASAP PLZ PLZ PLZ PLZZZZZZ
Answer:x=( y-p-mq)/m
Step-by-step explanation:
y-p=m(x-q)
x-q= y-p/m
x=y-p/m=q= y-p+mq/m
x= y-p+mq/m
Please no link ,step by step
Superpop potato chips factory employs 267 people. If each
worker receives Rs 2384 as wages every month, what is the total
woge bill () for one month, (m) for the whole year?
Answer:
636,528 Rs
7,638,336 Rs
Step-by-step explanation:
Total wage bill per month = wage of each worker x number of employees
267 x Rs 2384 = 636,528 Rs
Wage bill for the year = monthly wage bill x 12
636,528 Rs x 12 = 7,638,336 Rs
What would the next figure in the geometric pattern below be?
Answer:
C.
Step-by-step explanation:
Cyril walks 1500 feet from his house to school. What is the distance covered by Cyril in inches?
A. 18,000 in.
B. 18,500 in.
C. 18,600 in.
D. 19,000 in.
Answer:
A. 18,000in
Step-by-step explanation:
1,500 ×12=18,000
please please help me please I really need help please
A marching band has 64 members. The band director wants to arrange the band members into a square formation. How many band members will be in each row?
A. 8
B. 7
C. 6
D. 5
Answer:
A. 8
Step-by-step explanation:
sqrt{64} is 8 (8*8)
Answer:
8
Step-by-step explanation:
There are 8 members in each row
write the equation of a circle with a center at (-1, -4) that passes through the point (-1,-1)
Answer:
Equation of the circle :
[tex](x+ 1)^2 + (y+4)^2 = 9[/tex]
Step-by-step explanation:
Equation of a circle with centre (a, b) and radius ,r :
[tex](x - a)^2 + (y-b)^2 = r^2[/tex] ------(1)
Here a = -1, b = -4
find radius:
Since the circle passes through (-1, -1) , the radius is the distance between the centre and the point.
[tex]distance, r = \sqrt{(-1 -(-1))^2 +(-4 -(-1))^2 }[/tex]
[tex]= \sqrt{9} = 3[/tex]
Substitute the values in (1) :
[tex](x - (-1))^2 + (y-(-4))^2 = 3^2\\\\(x+ 1)^2 + (y+4)^2 = 9[/tex]
What is the value of h(2)?
0 -2
0 -11
ОО
O 3
Need help fast!!!
Reeba is baking cookies for the bake sale. She bakes 3 ¾ dozen chocolate chip cookies to sell . If Reeba sells ⅔ of the cookies, how many cookies did she sell?
Answer:
30 cookies
Step-by-step explanation:
Reeba sells [tex]\frac{2}{3}[/tex] of [tex]3\frac{3}{4}[/tex] of 12 chocolate chip cookies.
Let us start by finding [tex]3\frac{3}{4}[/tex] of 12. We simply have to multiply the two numbers. However, it would be much easier if we had an improper fraction than a mixed number. Let us make [tex]3\frac{3}{4}[/tex] an improper fraction first.
[tex]3\frac{3}{4} =\frac{15}{4}[/tex]
Ok! Let's multiply.
[tex]\frac{15}{4} *\frac{12}{1} =\\15*3\\=45[/tex]
Ok, Reeba baked 45 cookies in total. We know that she sells [tex]\frac{2}{3}[/tex] of her baked cookies, so we can again multiply the two numbers.
[tex]\frac{2}{3} *\frac{45}{1} =\\2*15=\\30[/tex]
Therefore, Reeba sold 30 cookies.
I hope this helps! Let me know if you have any questions :)
The missing number in the arithmetic sequence: 20,
36, 44 is:
None of these choices are correct
26
27
28
29
Answer:
28
Step-by-step explanation:
it is missing where ?
based on the answer options I guess it is missing between 20 and 36.
if that is true, then the answer is 28.
the difference between 36 and 44 is 8.
the difference between 20 and 36 is 16.
the right answer should cut the interval of 16 into 2 parts (first logical approach to cut it in 2 halves of 8) and be related to the next interval between 36 and 44 (8).
the solution covering both considerations is the middle of the large interval = 20 + 8 = 28.
Dave Bowers collects U.S. gold coins. He has a collection of 49 coins. Some are $10 coins, and the rest are $20 coins. If the face value of the coins is $690, how many of each denomination does he have?
How many $10 coins does he have?
How many $20 coins does he have?
11. Find the sum of the arithmetic series. overset [22] underset{k=1}\huge{Sigma) (-4k - 13) =
Answer:
okay, we need to add up for all k=1 till k=22
we could do it like this
(-4*1 -13) + (-4*2 -13) + (-4*3 -13) + ...
but this is long and boring, so we need another valid, yet vastly faster method to calculate this sum
we know that the "-13" part will occur 22 times, so let's write this component as "-13*22"
the -4k gents bigger with each step, k will take all the natural numbers from 1 to 22
so we could write
"-4 * (1+2+3+4+5+6+7...+21+22l
alot simpler and faster, but not fast enough
let's add up all numbers from 1 to 22 into one number
1 + 22 = 23
2 + 21 = 23
3 + 20 = 23
...
this works eleven times (bc we use up 2 numbers in each step), so the numbers from 1 to 22 added up are just
23*11= 230+23 = 252
now let's construct the final calculation
-4 * 252 -13*22 = -1294
there's your sum.
hope it helps you overall.
brainliest would be very kind ic some else leaves an answer, may it be just a greeting
Need help with this please!
Which of these graphs shows line CD parallel to line MP and passing through point (1, -3)
Someone help me please
whats the square root of 9 over 16
Answer:
± [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{\frac{9}{16} }[/tex] = [tex]\frac{\sqrt{9} }{\sqrt{16} }[/tex] = ± [tex]\frac{3}{4}[/tex] ← note plus or minus
Answer:
3/4
Step-by-step explanation:
The square root of 9 is 3 and the square root of 16 is 4 so you get an answer of 3/4.
Hope it helps
A cone-shaped paper drinking cup is to be made to hold 24 cm3 of water. Find the height and radius of the cup that will use the smallest amount of paper. (Round your answers to two decimal places.)
Answer:
I. Radius, r = 2.90 cm
II. Height, h = 4.10 cm
Step-by-step explanation:
Given the following data;
Volume of cone = 24 cm³
To find the height and radius of the cup that will use the smallest amount of paper;
Mathematically, the volume of a cone is given by the formula;
[tex] V = \frac{1}{3} \pi r^{2}h[/tex] ......equation 1
Where;
V is the volume of the cone.
r is the radius of the base of the cone.
h is the height of the cone.
Substituting into the formula, we have;
[tex] 36 = \frac{1}{3} \pi r^{2}h[/tex]
Multiplying both sides by 3, we have;
[tex] 108 = \pi r^{2}h[/tex]
Making radius, r the subject of formula, we have;
[tex] r^{2} = \frac {108}{ \pi h} [/tex]
Taking the square root of both sides, we have;
[tex] r = \sqrt { \frac {108}{ \pi h}} [/tex]
Mathematically, the lateral surface area of a cone is given by the formula;
[tex] LSA = \pi rl [/tex] ......equation 2
Where;
r is the radius of a cone
l is the slant height of a cone.
To find the slant height, we would apply the Pythagorean' theorem;
[tex] l = \sqrt {r^{2} + h^{2}} [/tex]
Substituting r into the above equation, we have;
[tex] l = \sqrt {\frac {108}{\pi h} + h^{2}} [/tex]
Substituting the values of r and l into eqn 2, we have;
[tex] LSA = \pi * \sqrt { \frac {108}{ \pi h}} * \sqrt {\frac {108}{\pi h} + h^{2}} [/tex]
Simplifying further, we have;
[tex] LSA = \sqrt {108} * \sqrt { \frac {\pi h^{3} + 108}{\pi h}} [/tex]
[tex] LSA = \sqrt {108} * \sqrt { \frac {108}{ h^{2}} + \pi h}} [/tex]
Next, to find the value of h, we differentiate the above mathematical equation with respect to h;
[tex] \frac {dS}{dh} = \sqrt {108} * (\pi - \frac {216}{h^{3}}) * (\pi h + \frac {108}{h^{2}}) [/tex]
Limiting [tex] \frac {dS}{dh} [/tex] w.r.t 0;
[tex] \frac {dS}{dh} = 0 [/tex]
[tex] (\pi - \frac {216}{h^{3}}) = 0 [/tex]
Rearranging the equation, we have;
[tex] \pi = \frac {216}{h^{3}} [/tex]
We know that π = 3.142
[tex] 3.142 = \frac {216}{h^{3}} [/tex]
Cross-multiplying, we have;
[tex] 3.142h^{3} = 216 [/tex]
[tex] h^{3} = \frac {216}{3.142} [/tex]
[tex] h^{3} = 68.75 [/tex]
Taking the cube root of both sides, we have;
Height, h = 4.10 cm
Lastly, we find the value of r;
[tex] r = \sqrt { \frac {108}{ \pi h}} [/tex]
[tex] r = \sqrt { \frac {108}{3.142 * 4.10}} [/tex]
[tex] r = \sqrt { \frac {108}{12.88}} [/tex]
[tex] r = \sqrt {8.39} [/tex]
Radius, r = 2.90 cm
The height and radius of the cup that will use the smallest amount of paper is;
Radius = 2.52 cm
Radius = 2.52 cmHeight = 3.58 cm
Let us first state some relevant formulas;
Volume of a cone is;
V = ⅓πr²h
Surface area of a cone is;
S = πrL
Where L is Slant height and has a formula;
L = √(h² + r²)
We are told that the cone is to hold 24 cm³. Thus; V = 24 cm³
24 = ⅓πr²h
πr²h = 72
r = √(72/πh)
Putting √(72/πh) for r in the Slant height equation gives;
L = √(h² + (72/πh))
Thus;
S = π × √(72/πh) × √(h² + (72/πh))
Differentiating with respect to h gives;
dS/dh = √72 × (π - 144/h³) × 1/√(πh + 72/h²)
At dS/dh = 0,we will have;
(π - 144/h³) = 0
Thus;
h³ = 144/π
h = 3.58 cm
Thus, from r = √(72/πh);
r = √(72/(π × 3.58))
r = 2.52 cm
Read more at; https://brainly.com/question/4405937
Type SSS, SAS, ASA, SAA, or HL to
justify why the two larger triangles are
congruent.
Answer:
ASA
Step-by-step explanation:
The two small angles which are the base angles of the small triangle in the middle are marked as equal.
The two large angles of the two triangles are also marked as conguent.
The base of the small triangle in the middle is common to both the larger triangles by the reflexive property (a line is always equal to itself). The line is between two sets of congruent angles. Therefore the two large triangles are congruent by ASA
Explanation:
It might help to peel the triangles apart as I have done so below.
We have two pairs of congruent angles, as shown by the distinct angle markers. Between the congruent angles, we have a pair of congruent sides.
The side (S) is between the angles (A), which is why we use ASA.
Note: SAA is slightly different where the congruent sides are not between the congruent angles.
PLEASE HELP!!! what is the slope on this graph?
Answer:
Step-by-step explanation:
Look at the two points and is it going up or down? The slope is 1/1 because it is going up 1 and over 1
Please if your able to solve this pls do. I’d really really extremely appreciate it if someone would!
Answer:
32
Step-by-step explanation:
1-4
Answer:
1331/x =x²/1331
cros multiplying
x³=1331²
x=³√(1331²)
im in need of help for this problem (listing BRAINLIST and giving points) :)
I hope this is help full to you
Suppose a 90% confidence interval for the mean salary of college graduates in a town in Mississippi is given by [$38,737, $50,463]. The population standard deviation used for the analysis is known to be $14,300.
a. What is the point estimate of the mean salary for all college graduates in this town?
Point estimate
b. Determine the sample size used for the analysis.
Sample size
Answer:
a. The point estimate was of $44,600.
b. The sample size was of 16.
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the difference between the two bounds, divided by 2.
a. What is the point estimate of the mean salary for all college graduates in this town?
Mean of the bounds, so:
(38737+50463)/2 = 44600.
The point estimate was of $44,600.
b. Determine the sample size used for the analysis.
First we need to find the margin of error, so:
[tex]M = \frac{50463-38737}{2} = 5863[/tex]
Relating the margin of error with the sample size:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.64.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
For this problem, we have that [tex]\sigma = 14300, M = 5863[/tex]. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]5863 = 1.645\frac{14300}{\sqrt{n}}[/tex]
[tex]5863\sqrt{n} = 1.645*14300[/tex]
[tex]\sqrt{n} = \frac{1.645*14300}{5863}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.645*14300}{5863})^2[/tex]
[tex]n = 16[/tex]
The sample size was of 16.
PLSSSS HELP ASAP !!! PLSSS WILL MARK BRAINLIEST TO WHOEVER GETS IT RIGHT
Answer:
See below.
Step-by-step explanation:
Angle 7 and Angle 4Angle 1 and Angle 5Answer:4000000
Step-by-step explanation:783
If X + Y means X is the brother of Y, X - Y means X is the sister of Y, and X * Y means X is the father of Y, then which of the following means that C is the son of M?
(1) M-N * C + F
(2) F-C + N * M
(3) N +M-F * C
(4) M * N-C + F
(5) M-N+F * C
Answer:
4
Step-by-step explanation:
Based on this question, addition means the first number is the brother of the other, subtract means the first number is the sister of the other and multiplying means the first number is the father of the other.
We see 4 is literally multiplying M by N-C, meaning N is the sister of C and M is the father of N and C.
38% of students taking exam P will pass the exam. 5% of students are taking exam P having used ADAPT. 79% of the students using ADAPT pass the exam. What is the probability of passing the exam if a student does not use ADAPT
Answer:
the probability of passing the exam if a student does not use ADAPT is 0.3584
Step-by-step explanation:
Given the data in the question;
Probability a student will pass = 38% = 0.38
Probability a student have used ADAPT = 5% = 0.05
P(passed | used ADAPT) = 79% = 0.79
Now lets use table
Used ADAPT Not use ADAPT Total
Passed [0.05×0.79] = 0.0395 [0.38 - 0.0395] = 0.3405 0.38
Not Passed [0.05-0.0395] = 0.0105 [0.62 - 0.0105] = 0.6095 0.62
Total 0.05 0.95
Now, the probability of passing the exam if a student does not use ADAPT will be;
⇒ P(passed and Not used ADAPT) / P( did not use ADAPT)
⇒ 0.3405 / 0.95
⇒ 0.3584
Therefore, the probability of passing the exam if a student does not use ADAPT is 0.3584
A curve passes through the point ( 0 , 7 ) (0,7) and has the property that the slope of the curve at every point P P is twice the y y -coordinate of P P . What is the equation of the curve
Answer:
The equation for the curve is:
[tex]f(x) = 7*e^{2*x}[/tex]
Step-by-step explanation:
We know that for a curve defined as:
y = f(x)
The slope of the curve at the point x is:
y = f'(x)
where f'(x) = df(x)/dx
Here we know that we have a function that passes through the point (0, 7)
We also know that the slope of the curve at every point is twice the value of the y-coordinate. (remember that the y-coordinate is given by f(x))
Then we have two equations:
f(0) = 7
f'(x) = 2*f(x)
From the shape of the equation, we can assume than this is an exponential equation like:
[tex]f(x) = A*e^{k*x}[/tex]
Replacing that in the second equation, we get:
[tex]k*A*e^{k*x} = 2*A*e^{k*x}[/tex]
From that equation, we can conclude that k = 2
Then:
[tex]f(x) = A*e^{2*x}[/tex]
Now we can use the first equation:
f(0) = 7
With this, we can find the value of A.
[tex]f(0) = 7 = A*e^{2*0}\\7 = A*e^0 = A*1\\7 = A[/tex]
Then we can conclude that the equation for the curve is:
[tex]f(x) = 7*e^{2*x}[/tex]