Answer:
28
Step-by-step explanation:
As one can see, the given diagram has two perpendicular lines. This means that two lines intersect each other at a right angle, therefore all of the resulting angles are (90) degree angles. This is indicated by one of the boxes around the angle. Moreover, this means that the angle that measures (62) degrees, plus angle (1) forms a (90) degree angle. Using this information, make an equation and solve for the measure of angle (1);
62 + (m<1) = 90
Inverse operations
62 + (m<1) = 90
m<1 = 28
When Ximena commutes to work, the amount of time it takes her to arrive is normally distributed with a mean of 38 minutes and a standard deviation of 4.5 minutes. Using the empirical rule, determine the interval that represents the middle 68% of her commute times.
Answer:
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 38 minutes, standard deviation of 4.5 minutes.
Determine the interval that represents the middle 68% of her commute times.
Within 1 standard deviation of the mean. So
38 - 4.5 = 33.5 minutes
38 + 4.5 = 42.5 minutes.
The interval that represents the middle 68% of her commute times is between 33.5 and 42.5 minutes.
According to a bridal magazine, the average cost of a wedding reception for an American wedding is $8213. Assume that the average is based on a random sample of 450 weddings and that the standard deviation is $2185.a. What is the point estimate of the corresponding population mean
Answer:
Point estimate of the corresponding population mean = $8,213
Step-by-step explanation:
Given:
Average cost of a wedding reception (x) = $8,213
Total number of sample (n) = 450
Standard deviation = $2185
Find:
Point estimate of the corresponding population mean
Computation:
Average cost of a wedding reception (x) = Point estimate of the corresponding population mean
Point estimate of the corresponding population mean = $8,213
Twelve skateboards have 48 wheels. What is the value of the ratio of skateboards to wheels, in simplest form? A. 1/4 B. 4/12 C. 12/48 D. 16/20
Answer:
1/4
Step-by-step explanation:
Skateboards : wheels
12 : 48
Divide each part by 12
12/12 : 48/12
1 :4
[tex]\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]
There are Twelve skateboards have 48 wheels.,
we need to find the ratio of skateboards to wheels, in simplest form;
Hence,
Ratio of skateboard to wheel
[tex]\sf{\dfrac{skateboard}{wheels} }[/tex] [tex]\sf{\dfrac{12}{48} }[/tex] [tex]\sf{\dfrac{\cancel{12}^{^{1}}}{\cancel{48}_{_{4}}} }[/tex] [tex]\bold{\dfrac{1}{4} }[/tex]The population of rabbits on an island is growing exponentially. In the year 1992, the
population of rabbits was 220, and by 1997 the population had grown to 400. Predict
the population of rabbits in the year 2000, to the nearest whole number.
Answer:
572.6
Step-by-step explanation:
400 = 220 [tex]x^{5}[/tex]
ln(400/220) = 5 ln(x)
ln(x) = .1195
x = [tex]e^{.1195}[/tex]
x = 1.127
Y = 220[tex](1.127)^{8}[/tex]
Y= 572.6
Is 4/pi rational or irrational?
Answer:
Pi is an irrational number, same is pi/4.
Step-by-step explanation:
What is the distance of 39 from zero? Hellpppppppp
Answer: 39
Step-by-step explanation: the distance is always positive, 39 + 0 = 39
Answer:
39
Step-by-step explanation:
39 is 39 numbers away from zero. it really doesn't get simpler.
Determine the number of bars and bar width in the histogram using the following 50 numbers. 26 39 39 22 18 8 52 69 15 2 60 87 98 10 39 50 3 41 62 29 78 97 60 72 65 15 24 14 14 98 50 60 17 82 44 52 91 77 52 71 9 98 36 93 43 86 87 20 93 98
Answer:
10 bars ; width 10
Step-by-step explanation:
Reordering the data given :
2, 3, 8, 9, 10, 14, 14, 15, 15, 17, 18, 20, 22, 24, 26, 29, 36, 39, 39, 39, 41, 43, 44, 50, 50, 52, 52, 52, 60, 60, 60, 62, 65, 69, 71, 72, 77, 78, 82, 86, 87, 87, 91, 93, 93, 97, 98, 98, 98, 98
To know the number of bars and width to use, we need to know the range of the data, from there we can decide the most appropriate width and also the number of bars we get using the width ;
Range = 98 - 2 = 96
By extending the width slightly on either side, we have 0, 100.
If we start from the origin, 0 ; and the maximum data point = 98 ; by slightly extending the width to 100 ; we could make use of a very reasonable width of 10; which is easier to work with than lesser width values ;
Now our range = 100 - 0 = 100
Width = 10
Number of bars = range / bar width
= 100 / 10
= 10 bars
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!
Answer: C) Next year, 7 out of every 60 students will be taking music.
Step-by-step explanation:
A is wrong because it is an opinion which a table cannot prove.
B is wrong because it says "A representative sample of 60 students) while the answer incorrectly says 30.
C is correct because on the table it says 7 people are taking music and correctly identifies that it's out of 60 students.
D is incorrect for the same reason B is incorrect except this time it says 120.
Find the area of the triangle. round your answer to the nearest tenth
Answer:
use photo math
Step-by-step explanation:
cuz i said so
Please help me with this math
Answer:
20
Step-by-step explanation:
2(3p+4)
Let p=2
2(3*2+4)
Multiply inside the parentheses
2(6+4)
Add inside the parentheses
2(10)
Multiply
20
Hola aquí va la respuesta!!!
[tex]20[/tex]
[tex] \saludos[/tex]
A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, find
the probability that a blue marble will be drawn.
a. 1
1
7
C.
b.
1
d.
3
11
14
Please select the best answer from the choices provided
B
оооо
Answer:
3/14
Step-by-step explanation:
Probability = # of favorable outcomes / # of possible outcomes
Favorable outcomes = we want to find the probability of pulling a blue marble. There are 3 blue marbles so 3 is the number of favorable outcomes
Possible outcomes: to find the number of possible outcomes we simply find the total number of marbles
3 + 7 + 4 which equals 14
So possible outcomes = 14
We now plug in the values into the probability formula
The probability of pulling a blue marble is 3/14
Answer:
3/14
Step-by-step explanation:
you add the red marbles, blue marbles, and green marbles together, which equal 14. Out of the 14, there are only 3 blue marbles so it would be 3/14.
how do you figure out the percentage of 19 into 129
Answer:
14.73.
Step-by-step explanation:
Answer:
See image below for answer:)
Step-by-step explanation:
Encuentra el resultado de la ecuación mediante la formula general
Step-by-step explanation:
de hecho, la respuesta está en la imagen de arriba
Anyone no how to do this?..
The top part is the areas of the rooms in feet. You need to find the inches instead. Multiply them by 12.
20 x 12
20 x 12= 240
12 x 12=144
So the first one will be:
240 x 144
Second:
96 x 96
Third:
96 x 114
Fourth:
240 x 196
Fifth:
240 x 240
Sixth:
120 x 240
Consider the expression 25 – 10 ÷ 2 + 3.
Part A
Which shows a way to rewrite the expression using parentheses so that the expression equals 23?
Select all that apply.
A. (25 – 10) ÷ 2 + 3 = 23
B. 25 – 10 ÷ (2 + 3) = 23
C. (25 – 10) ÷ (2 + 3) = 23
D. 25 – (10 ÷ 2) + 3 = 23
Part B
Which shows a way to rewrite the expression using parentheses so that the expression equals 3?
A. (25 – 10) ÷ 2 + 3 = 3
B. 25 – 10 ÷ (2 + 3) = 3
C. (25 – 10) ÷ (2 + 3) = 3
D. 25 – (10 ÷ 2) + 3 = 3
Given:
The expression is:
[tex]25-10\div 2+3[/tex]
To find:
Part A: The expression using parentheses so that the expression equals 23.
Part B: The expression using parentheses so that the expression equals 3.
Solution:
Part A:
In option A,
[tex](25-10)\div 2+3=15\div 2+3[/tex]
[tex](25-10)\div 2+3=7.5+3[/tex] [Using BODMAS]
[tex](25-10)\div 2+3=10.5[/tex]
In option B,
[tex]25-10\div (2+3)=25-10\div 5[/tex]
[tex]25-10\div (2+3)=25-2[/tex] [Using BODMAS]
[tex]25-10\div (2+3)=23[/tex]
In option C,
[tex](25-10)\div (2+3)=15\div 5[/tex]
[tex](25-10)\div (2+3)=3[/tex]
In option D,
[tex]25-(10\div 2)+3=25-5+3[/tex]
[tex]25-(10\div 2)+3=28-5[/tex] [Using BODMAS]
[tex]25-(10\div 2)+3=23[/tex]
After the calculation, we have [tex]25-10\div (2+3)=23[/tex] and [tex]25-(10\div 2)+3=23[/tex].
Therefore, the correct options are B and D.
Part B: From part A, it is clear that
[tex](25-10)\div (2+3)=3[/tex]
Therefore, the correct option is C.
Prove the formula that:
((∃x)(F(x)∧S(x))→(∀y)(M(y)→W(y)))∧((∃y)(M(y)∧¬W(y)))
⇒(∀x)(F(x)→¬S(x))
Step-by-step explanation:
Given: [∀x(L(x) → A(x))] →
[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]
To prove, we shall follow a proof by contradiction. We shall include the negation of the conclusion for
arguments. Since with just premise, deriving the conclusion is not possible, we have chosen this proof
technique.
Consider ∀x(L(x) → A(x)) ∧ ¬[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]
We need to show that the above expression is unsatisfiable (False).
¬[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]
∃x¬((L(x) ∧ ∃y(L(y) ∧ H(x, y))) → ∃y(A(y) ∧ H(x, y)))
∃x((L(x) ∧ ∃y(L(y) ∧ H(x, y))) ∧ ¬(∃y(A(y) ∧ H(x, y))))
E.I with respect to x,
(L(a) ∧ ∃y(L(y) ∧ H(a, y))) ∧ ¬(∃y(A(y) ∧ H(a, y))), for some a
(L(a) ∧ ∃y(L(y) ∧ H(a, y))) ∧ (∀y(¬A(y) ∧ ¬H(a, y)))
E.I with respect to y,
(L(a) ∧ (L(b) ∧ H(a, b))) ∧ (∀y(¬A(y) ∧ ¬H(a, y))), for some b
U.I with respect to y,
(L(a) ∧ (L(b) ∧ H(a, b)) ∧ (¬A(b) ∧ ¬H(a, b))), for any b
Since P ∧ Q is P, drop L(a) from the above expression.
(L(b) ∧ H(a, b)) ∧ (¬A(b) ∧ ¬H(a, b))), for any b
Apply distribution
(L(b) ∧ H(a, b) ∧ ¬A(b)) ∨ (L(b) ∧ H(a, b) ∧ ¬H(a, b))
Note: P ∧ ¬P is false. P ∧ f alse is P. Therefore, the above expression is simplified to
(L(b) ∧ H(a, b) ∧ ¬A(b))
U.I of ∀x(L(x) → A(x)) gives L(b) → A(b). The contrapositive of this is ¬A(b) → ¬L(b). Replace
¬A(b) in the above expression with ¬L(b). Thus, we get,
(L(b) ∧ H(a, b) ∧ ¬L(b)), this is again false.
This shows that our assumption that the conclusion is false is wrong. Therefore, the conclusion follows
from the premise.
15
look at pic 10 pts will mark brainilest WILL HELP OUT W 3 QUESTIONS
Answer:
the answer is b because -(-6) becomes 6 and 6 is greater than 3
Answer: B.
Step-by-step explanation: A. 45 is not less than or equal to 18. I got 45 because 2 negatives make a positive and I got 18 because it was in absolute value bars making it positive. B. 6 is greater than -3. I got 6 because it is in an absolute value bar. C. 32 is not less 28. I used the same steps I used on the others. D. 9 is not greater than or equal to 10.
-3(4x-6)=7-12x(solve)(show work)
Hi there!
»»————- ★ ————-««
I believe your answer is:
There is no solution to the equation.
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\-3(4x-6)=7-12x\\-------------\\\rightarrow -12x+18 = 7 - 12x\\\\\rightarrow -12x + 18 - 18 = 7 - 18 -12x\\\\\rightarrow -12x=-12x-11\\\\\rightarrow-12x+12x = -12x+12x - 11\\\\\rightarrow 0 = -11\\\\\boxed{\text{This is a \underline{contradiction}. There is no solution.}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Graph the linear function y= -x + 3.
PLEASE HELP! I really need to get this right
Answer:
27.3
Step-by-step explanation:
27.3
Answer:
Plays a musical instrument
Top left
Plays a sport: 0.46
Plays a musical instrument
Top right
Does not Play a sport: 0.54
Does not play a musical instrument
Bottom Left
Plays a sport: 0.73
Does not play a musical instrument
Bottom right
Does not Play a sport: 0.27
Step-by-step explanation:
I hope this helps you! :D
A nonhomogeneous equation and a particular solution are given. Find a general solution for the equation. y prime prime plus 9 y prime plus 18 y equals
Answer:
[tex]y_p(x) =c_1e^{-6x} + c_2e^{-3x}+ e^x + 4x^2[/tex]
Step-by-step explanation:
Given
[tex]y" + 9y' + 18y = 24x^2 + 40x + 8 + 12e^x[/tex] ---- (1)
[tex]y_p(x) = e^x + 4x^2[/tex]
Required
The general solution of [tex]y(x)[/tex]
Let
[tex]y = e^{nx}[/tex] be the trial solution of (1)
So:
[tex]y" + 9y' + 18y = 0[/tex] becomes
[tex]n^2 + 9n + 18 = 0[/tex]
Expand
[tex]n^2 + 6n+3n + 18 = 0[/tex]
Factorize
[tex]n(n + 6)+3(n + 6) = 0[/tex]
Factor out n + 6
[tex](n + 6)(n + 3) = 0[/tex]
Split
[tex]n +6 = 0\ or\ n + 3 = 0[/tex]
Solve for n
[tex]n =-6\ or\ n = -3[/tex]
So:
[tex]y = e^{nx}[/tex] becomes:
[tex]y = c_1e^{-6x} + c_2e^{-3x}[/tex]
[tex]y_p(x) = e^x + 4x^2[/tex] becomes
[tex]y_p(x) =c_1e^{-6x} + c_2e^{-3x}+ e^x + 4x^2[/tex]
Where: [tex]c_1[/tex] and [tex]c_2[/tex] are arbitary constants
Which state ment is true regarding the graphed function
F(4)= g(4)
F(4)= g(-2)
F(2)= g(-2)
F(-2)= g(-2)
Answer:
F(-2)= g(-2)
Step-by-step explanation:
F(-2)= g(-2), both function have the same points of intersect.
Determine whether the triangles are similar. If so, write a similarity
statement.
Answer:
yes that are similar
Step-by-step explanation:
because the angles are both 50 degrees
similarity statement:
triangle DEF= triangle JEH
hope that helps bby<3
EI NHS de Evergreen está diseñando un nuevo jardín.
El jardín será un rectángulo. Sea x el ancho del jardín.
La longitud del jardín será el doble del ancho más 4 pies.
Calcula el área y el perímetro del jardín.
¿Cuál es la expresión de la longitud?
Answer:
Area= 2(x^2 + 4)
Perímetro=6x + 8
Step-by-step explanation:
Ancho = x
Longitud = 2x + 4
Area= ancho × longitud
Area= x × 2x + 4
Area= 2x^2 + 4
Area= 2(x^2 + 4)
Perímetro= ancho+ancho+longitud+longitud
Perímetro=2ancho + 2longitud
Perímetro=2(x) + 2(2x+4)
Perímetro=2x + 4x + 8
Perímetro=6x + 8
If anyone can do this for me step by step i will give you 30 points please help me out
Answer:
after 10 months
Step-by-step explanation:
Let x be the number of months and y be the amount they still owe.
Sin Ian borrows $1000 from his parents, then the y-intercept b= 1000 since he owes $1000 when x = 0. He pays them back $60 each month The slope is then m = -60 . Substituting in b = 1000 and m = -60 into the slope-intercept form of a line then gives y= mx + b=-60x +1000.
Sin Ken borrows $600 from his parents, then the y-intercept b = 600 since he owes $600 When x= 0. He pays them back $20 per month so the amount he owes decreases $20 each month. The slope is then m = -20 . Substituting in
b= 600 and m = -20 into the slope-intercept form then gives y = mx +b = -20x + 600.
They will owe the same amount when they have the same y-coordinate. Therefore -60x+ 1000= y= -20x+600. Solve this equation for x:
-60x+ 1000 = -20x+ 600
1000 = 40x+ 600
400 = 40x
10=x
They will then owe the same amount after 10 months.
HELP PLEASE I"LL GIVE 50 POINTS. what is the ratio in simplest form between the length of a side in ΔMNO and the length of it's corresponding side in ΔXYZ
Answer:
1 : 2
Step-by-step explanation: trust
Answer:
3/1 Hope that helps
Step-by-step explanation:
what’s “24 increased by a number y is 41” as an equation?
Answer:
24 + y = 41
y = 17
Step-by-step explanation:
24 + y = 41
y + 24 = 41
y + 24 - 24 = 41 - 24
y = 17
A technical machinist is asked to build a cubical steel tank that will hold of water. Calculate in meters the smallest possible inside length of the tank. Round your answer to the nearest .
Answer:
The smallest possible length is 0.83m
Step-by-step explanation:
Given
[tex]Volume = 565L[/tex]
Required
The smallest length of the tank
Since the tank is cubical, then the volume is:
[tex]Volume = Length^3[/tex]
This gives:
[tex]565L= Length^3[/tex]
Express as [tex]m^3[/tex]
[tex]\frac{565m^3}{1000} = Length^3[/tex]
[tex]0.565m^3 = Length^3[/tex]
Take cube roots of both sides
[tex]0.8267m = Length[/tex]
Rewrite as:
[tex]Length = 0.8267m[/tex]
Approximate
[tex]Length = 0.83m[/tex]
Enlarge the triangle by scale factor 3
Answer:
The triangle will triple in size.
For which equation is the solution set {-5,2}? *
Step-by-step explanation:
14 For which equation is the solution set {-5,2}?. 15 Which equation has the same solutions as. 2x. 2 + x - 3 = 0.