Answers
Answer:
45 degrees
Step-by-step explanation:
The interior of a triangle always adds up to 180. Since one of them is a right angle, which is always 90 degrees, and two lines of the triangle are as long as eachother, 180-90 is 90 degrees, and that is divided by two, which is 45.
Related Questions
Can someone please help me?
Answers
Answer:
B
Step-by-step explanation:
Use a graphing calculator like desmos and youll find the answer
Help find average rate of change
Answers
Problem 2
Answer: Average rate of change = 4==========================================================
Explanation:
When we have an interval [a,b], the average rate of change over this interval is given by the formula
[tex]m = \frac{f(b)-f(a)}{b-a}[/tex]
You probably can notice that we have something that looks eerily similar to the slope formula. That's because average rates of change are basically the same as the slope of the straight line through the endpoints of the interval. The f(b)-f(a) is the change in y of f(x) outputs. The b-a down below is the change of x values when going from x = a to x = b.
-------------------
Let's evaluate the function at x = 1
f(x) = x^2+1
f(1) = 1^2+1
f(1) = 2
Repeat for x = 3
f(x) = x^2+1
f(3) = 3^2+1
f(3) = 10
--------------------
We have enough info to evaluate the original formula I mentioned earlier
[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(3)-f(1)}{3-1}\\\\m = \frac{10-2}{3-1}\\\\m = \frac{8}{2}\\\\m = 4\\\\[/tex]
The average rate of change on this interval is 4
This is the same as saying the slope of the line through (1,2) and (3,10) is m = 4
See the graph below.
What group of numbers are 1, 3, 9, 27
Answers
Answer:
Factors of 27
Step-by-step explanation:
Thus; in considering factors ,we find the numbers in which can go into the number without any remainder.
Hence, one is a factor of every number
what is a bank statement
Answers
Step-by-step explanation:
a printed record of the balance in a bank account and the amounts that have been paid into it and withdrawn from it, issued periodically to the holder of the account.
PLEASE HELP
Find the probability of no successes in six trials of a binomial experiment in which the probability of success is 30%. Round to the nearest tenth of a percent [ ? ] %
Answers
Answer:
I hope this helps you quickly
Step-by-step explanation:
dwvrbrhrbrnk Frankenstein's 4h5wmye
anyone one know the answer?
Answers
(X+3)(3x^2+8x+9) multiply the polynomials
Answers
Answer:
3x^3+8x^2+9X+9X^2+24X+27=3X^3+17X^2++33X+27
Step-by-step explanation:
Answer:3x^3+8x^2+9X+9X^2+24X+27=3X^3+17X^2++33X+27
Step-by-step explanation:
Select the correct answer.
At a high school there are 53 players on the football team, 15 players on the baseball team, and 12 players on
the basketball team. How many ways can a committee be formed with 1 representative from each team?
Math
Answers
Answer:
53*15*12=9540
Step-by-step explanation:
its just 53 times 15 times 12 for all the possibilities.
Say the first football player was picked, same with the first baseball player, and the first basketball player were all picked, then another possiblity would be the first football player, the second baseball player, and the first basketball player, here is a numerical example.
Football Baseball Basketball
1 1 1
1 2 1
1 2 2
1 2 3
1 2 4
and so on including all the patterns it would be 9540 possibilities
The total number of ways of forming a committee by selecting one representative from each team is 9540.
What is combination?
A combination is a mathematical technique that determines the number of possible arrangements or the number of ways in a collection of items where the order of the selection does not matter.
Combination Formula[tex]nC_{r}= \frac{n!}{r!(n-r)!}[/tex]
Where,
[tex]nC_{r}[/tex] is a number of combination.
n is total number of objects in the set.
r is the number of choosing objects from the set.
Multiplication rule in combination?According to the multiplication rule in combination if there are a ways of doing something and b ways of doing another thing, then there are a · b ways of performing both actions.
According to the given question
Total number of football players = 53
Total number of baseball players = 15
Total number of basket ball players = 12
Therefore,
Number of ways of selecting one representative from football team is given by
[tex]53C_{1} =\frac{53!}{1!52!} = 53[/tex]
Number of ways of selecting one representative from baseball team is given by
[tex]15C_{1} =\frac{15!}{1!14!}=15[/tex]
Number of ways of selecting one representative from basketball team is given by
[tex]12C_{1} =\frac{12!}{1!11!} =12[/tex]
So, the total number of ways of forming a committee by selecting one representative from each team = 53 × 15 × 12 =9540.
Hence, total number of ways of forming a committee by selecting one representative from each team 9540.
Find out more information about combination here:
https://brainly.com/question/13387529
#SPJ2
x( 3x - 2y + 4z)x = -2, y = 4, and z = -3
Answers
You buy a family-size box of laundry detergent that contains 40 cups. , how many loads of wash can you do?
SEE IMAGE BELOW
Answers
Answer:
30 loads
Step-by-step explanation:
You simply divide 40 by 1 1/3 which gives you 30 meaning you can wash 30 loads.
Answer:
30
Step-by-step explanation:
To solve this, you want to do 40÷[tex]1\frac{1}{3}[/tex], or [tex]\frac{40}{1}[/tex]÷[tex]\frac{4}{3}[/tex], which is the same as [tex]\frac{40}{1}[/tex]×[tex]\frac{3}{4}[/tex].
This can be solved to [tex]\frac{120}{4}[/tex] and simplifies to 30.
**This content involves writing expressions from worded questions and operations with fractions, which you may wish to revise. I'm always happy to help!
Find the product of the sum of 1/2 and -3/4 and difference of -5/6 and 13/8
Answers
Product of the sum of 1/2 and -3/4 and difference of -5/6 and 13/8
= (1/2-3/4)×(-5/6+13/8)
= -1/4×19/24
= -19/96
(1/2 + -3/4) x |-5/6 - 13/8|
= -1/4 x 59/24
= -59/96
“Difference” is defined as the positive distance between the values on a number line, hence the absolute value brackets.
Eg the difference between 2 and 9 is 7
The difference between -2 and -8 is 6
The difference between-5 and 4 is 9
Does anyone know how to solve this?
Answers
9514 1404 393
Answer:
zeros: {-2, -1, 7}P(x) = (x +2)(x +1)(x -7)Step-by-step explanation:
Descarte's rule of signs tells you there is 1 positive real root. The rational root theorem tells you any real roots are factors of ±14, so will be ±1, ±2, ±7, or ±14.
We note that the sum of all coefficients is negative, so +1 is not a root.
We note that the sum of coefficients of odd-degree terms is 1-19 = -18, and the sum of coefficients of even-dgree terms is -4-14 = -18. These are the same value, indicating that -1 is a root. The corresponding factor is (x +1).
The result of dividing the factor (x+1) from the polynomial using synthetic division is shown in the first attachment. The coefficients found mean the quotient is ...
Q(x) = x^2 -5x -14
Factoring this using any method you like gives ...
Q(x) = (x +2)(x -7)
This means the full set of zeros is {-2, -1, +7} and the factorization is ...
P(x) = (x +2)(x +1)(x -7)
_____
Additional comment
My personal favorite method of finding the zeros is to let a graphing calculator show them to me. That result is shown in the second attachment.
Help me plz i can't figure this out
Answers
Answer:
C
Step-by-step explanation:
For C the y axis changes, add 5 to -3 and you get 2. Therefore 5 units away!
Hope this helps, good luck! :)
∑_(n=1)^∞▒〖( 1/2 )〗^2n
Answers
Answer:
The series converges to [tex]\dfrac{1}{3}[/tex]
Step-by-step explanation:
It seems to be this series:
[tex]$ \sum_{n=1}^{\infty} \left(\dfrac{1}{2} \right)^{2n}$[/tex]
We have
[tex]$ \sum_{n=1}^{\infty} \left(\dfrac{1}{2} \right)^{2n} = \sum_{n=1}^{\infty} \left(\dfrac{1}{4} \right)^{n}$[/tex]
Using the Root test we can see that this series converges once
[tex]$ \lim_{n \to \infty} \sqrt[n]{|a_n|} < 1 \implies \sum_{n=1}^{\infty} a_n \text{ is convergent}$[/tex]
Then, [tex]$\lim_{n \to \infty} \sqrt[n]{\left(\dfrac{1}{4} \right)^{n}} = \lim_{n \to \infty} \dfrac{1}{4} = \dfrac{1}{4} < 1$[/tex]
The series is convergent.
Once the series is geometric, the first term is [tex]\dfrac{1}{4}[/tex] and the ratio is also [tex]\dfrac{1}{4}[/tex] in this case.
The sum of infinite geometric series is [tex]S = \dfrac{a_1}{1-r}[/tex] such that [tex]r < 1[/tex]
[tex]\therefore S = \dfrac{\frac{1}{4} }{1-\frac{1}{4}} = \dfrac{1}{3}[/tex]
3. Find the number which is 32,586 more than 87,65,432.
4 A chocolate factory produced 12,35,450 chocolates in January, 20.25,800 chocolates in
February and 15,20,875 in March. How many chocolates were produced in the three months?
5. The population of three countries A, B and Care 1.38,50,507. 8.01.76,145 and 6,24,05,680
respectively. Find the total population of the three countries.
6. In an election, candidate A got 2,36,465 votes more than candidate B. If candidate B got
43.45,400 votes, how many votes did Adidate A get?
7. 27.51.650 boys and 18,42,725 girls appeared for an examination. Find the total number of
students who appeared for the examination
8. Mr Bajaj bought a house for 34,25,600 and a computer for 246.450. How much money did
he spend in all?
9. In 2014, a factory produced 4,26,600 bulbs more than that in the year 2013. If the number of
bulbs produced in 2013 were 68.46,325, find the number of bulbs produced in 2014
10. The difference between two numbers is 24,50,172. Find the bigger number if the smaller
number is 15.28,978.
Answers
Answer:
3. 8,798,018
4. 4,782,125
5. 156,432,332
6. 4,581,865
7. 4,594,375
8. 3,672,050
9. 7,272,925
10. 3,979,150
Movie critics claim that 68% of adults and 79% of teenagers would recommend seeing the newest action movie. Suppose random samples of 43 adults and 52 teenagers are selected. Let p hat Subscript Upper A and p hat Subscript Upper T be the sample proportions of adult and teenage moviegoers, respectively, who would recommend this movie.
Which of the following is the mean of the sampling distribution of p hat Subscript Upper A Baseline minus p hat Subscript Upper T?
–0.11
0.11
0.74
1.47
Answers
Answer: -11
Step-by-step explanation:
Answer:
–0.11
Step-by-step explanation:
edge 2023
Plzzzzzzzzzzzzzzzzz help meeeeeeeeeeeeeeeeeee i do anything just help
Gamers: Two dollars for every game downloaded.
Game World: $15 per month and $0.50 per game downloaded.
a) How much money would it cost if you downloaded 6 games from Gamers? Show your work, using the equation c=2d, where c is the cost and d is the number of downloads.
b) Write an equation for the cost per month at Game World, using c for cost and d for downloads.
c) Which equation is represented in the graph below, Gamers or Game World? Justify your answer using mathematical reasoning.
d) If you plan on downloading 8 games per month, which would be the best plan to buy? Justify your answer using mathematical reasoning.
e) Justin has a membership to Gamers and he says his plan is better than Game World’s. Kenny, who has a membership to Game World, disagrees. Who is correct? Justify your answer using mathematical reasoning.
f) How many games would Justin and Kenny have to download to make the same monthly payment? How do you know?
Answers
Answer:
8
Step-by-step explanation:
Consider a Poisson distribution with μ = 6.
a. Write the appropriate Poisson probability function.
b. Compute f (2).
c. Compute f (1).
d. Compute P(x≥2)
Answers
Answer:
a) [tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]
b) f(2) = 0.04462
c) f(1) = 0.01487
d) [tex]P(X \geq 2) = 0.93803[/tex]
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of successes
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
In this question:
[tex]\mu = 6[/tex]
a. Write the appropriate Poisson probability function.
Considering [tex]\mu = 6[/tex]
[tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]
b. Compute f (2).
This is P(X = 2). So
[tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]
[tex]P(X = 2) = \frac{e^{-6}*6^{2}}{(2)!} = 0.04462[/tex]
So f(2) = 0.04462
c. Compute f (1).
This is P(X = 1). So
[tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]
[tex]P(X = 1) = \frac{e^{-6}*6^{1}}{(1)!} = 0.01487[/tex]
So f(1) = 0.01487.
d. Compute P(x≥2)
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which:
[tex]P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
[tex]P(X = x) = \frac{e^{-6}*6^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-6}*6^{0}}{(0)!} = 0.00248[/tex]
[tex]P(X = 1) = \frac{e^{-6}*6^{1}}{(1)!} = 0.01487[/tex]
[tex]P(X = 2) = \frac{e^{-6}*6^{2}}{(2)!} = 0.04462[/tex]
Then
[tex]P(X < 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.00248 + 0.01487 + 0.04462 = 0.06197[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.06197 = 0.93803[/tex]
So
[tex]P(X \geq 2) = 0.93803[/tex]
The brand name of a certain chain of coffee shops has a 54% recognition rate in the town of Coffleton. An executive from the company wants to verify the recognition rate as the company is interested in opening a coffee shop in the town. He selects a random sample of 10 Coffleton residents. Find the probability that exactly 4 of the 10 Coffleton residents recognize the brand name.
Answers
Answer:
16.9177% or .169177
Step-by-step explanation:
Binomial i think
10C4*.54⁴*(1-.54)⁶= 16.9177%
The probability that exactly 4 of the 10 Coffleton residents recognize the brand bis 16.9177% or .169177
What are the combinations?Once the sequence of the results is irrelevant, combinations can be used to determine the overall number of effects of an event. The nCr algorithm, where n represents the number many items and r is the host of factors getting picked at a time, is used to compute combinations.
The information provided will be:
54% recognition rate in the town of Coffleton
He selects a random sample of 10 Coffleton residents
the probability that exactly 4 of the 10
will be found out with the help of the combination
[tex]^nC_r = n! / r! \times (n - r)![/tex]
[tex]^10C_ 4\time 0.54^4 \times (1-.54)^6[/tex]
= 16.9177%
The probability will be 16.9177%.
Learn more about combinations, here:
https://brainly.com/question/20211959
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simplify 3x times 4y
Answers
Answer:
12[tex]x^{3}[/tex]y[tex]x^{4}[/tex]
Step-by-step explanation:
When you multiply numbers with variable terms, each term has to be multiplied by like terms.
3[tex]x^{2}[/tex]y× 4×y[tex]x^{3}[/tex]
Separate the terms.
3 · [tex]x^{2}[/tex] · y × 4 · x · [tex]y^{3}[/tex]
Group the like terms and then multiply them.
( 3 x 4 ) ([tex]x^{2}[/tex] x [tex]x[/tex]) ( [tex]y[/tex] x [tex]y^{3}[/tex])
12 · [tex]x^{3}[/tex] · [tex]y^{4}[/tex]
12[tex]x^{3}[/tex][tex]yx^{4}[/tex]
Hoped this helped :)
Which diagram represents the hypothesis of the converse of corresponding angles theorem?
Answers
Answer:
the first diagram
Step-by-step explanation:
first one
The lines below are perpendicular. If the slope of the green line is 2/3, what is
the slope of the red line?
Answers
Answer:
1/3
Step-by-step explanation:
if green line is 2/3
and we are to find red line
we subtract the value of the green from the total ie. the denominator which is the sum of green and red line giving us the value of red line then you can determine its slope as well.
find the area of the triangle 15cm, 18cm, 5cm
Answers
Answer:
38
Step-by-step explanation:
Answer:
[tex]32.62\:\mathrm{cm^2}[/tex]
Step-by-step explanation:
The area of a triangle with side lengths [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] is given by:
Let [tex]s=\frac{a+b+c}{2}[/tex] (semi-perimeter)
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
We're given three side lengths with lengths 15 cm, 18 cm, and 5 cm. Therefore, the semi-perimeter, [tex]s[/tex], is equal to [tex]\frac{15+18+5}{2}=\frac{38}{2}=19[/tex].
Thus, the area of this triangle is:
[tex]A=\sqrt{19(19-18)(19-15)(19-5)},\\A=\sqrt{19\cdot 1\cdot 4\cdot 14},A=\sqrt{1064}=32.6190128606\approx \boxed{32.62\:\mathrm{cm^2}}[/tex]
The ordered pairs in the table below represent a linear function.
Answers
Answer:
2
Step-by-step explanation:
ordered pairs are
(2 , 3) = (x1 , y1)
(5 , 9) = (x2 , y2)
slope = y2 - y2 / x2 - x1
= 9 - 3 / 5 - 2
= 6 / 3
= 2
smallest to biggest pls
Answers
Step-by-step explanation:
45.399,45.454,45.545,45.933
What are the domain and range of the function represented by the set of ordered pairs? {(-7,1),(-3,2), (0, -2), (5,-5)}
Answers
Answer:
domain: {-7, -3, 0, 5}
range: {-5, -2, 1, 2}
Step-by-step explanation:
The domain of this set of ordered pairs is the set of input values (x-coordinates): {-7, -3, 0, 5}, and the range is that of output values (y-coordinates): {1, 2, -2, -5} or {-5, -2, 1, 2}.
pls help pls help pls help
Answers
Answer:
Step-by-step explanation:
Assume for a paired-samples t test: N= 17, Mdifference = 467.72, s = 264.50. What is the effect size statistic?
Answers
Answer:
bbbbbhbbvcgccfggfgggggggggihh
pls help!!!
show your work!!!!
simplify the expression. ^4sqrt(64y^12z^16)
Answers
Answer: on the outside its 2y^3z^4 with the inside being 2
Step-by-step explanation:
The expression equals 2y^3z^4sqrt2
Answer:
2 square root 2 y^3 z^4 ( SEE IMAGE BELOW)
Step-by-step explanation:
Simplify the radical expression
2 square root 2 y^3 z^4
reduce the index of the radicel and expondent with 2
2 square root 2 y^3 z^4
pleaseeeee solve thissss pleaseeee
Answers
Answer:
a.) 15 feet
b.) 3.25 seconds
c.) 17.1125 feet
d.) 12.5 seconds
Step-by-step explanation:
a
This is just asking for the y intercept
to get this just do h(0)= 15
b
This is asking for the x value of the vertex
solve that through -b/2a
-1.3/(2*-.2)= 3.25
c
This is asking for the y value of the vertex
to solve this plug in the x value from b
-.2*3.25²+1.3*3.25+15= 17.1125
d
This is asking for an x intercept
using the quadratic formula...
[tex]\frac{-b(+-)\sqrt{b^2-4*a*c}}{2a}=\frac{-1.3(+-)\sqrt{1.3^2-4*-.2*15}}{2*-.2}= -6, 12.5[/tex]
*note the (+-) before the radical is ± *
logic will tell us that a negative x intercept doesn't make any sense so we only take the positive value, 12.5