Clarissa (the surveyor from our book) is at home and needs to figure out how tall her wall is in order to replace one of the lights. She places the mirror on the ground 27 feet from the wall. Clarissa is 9 feet from the mirror, and Clarissa's eyes are 6 feet from the ground.
Label the diagram correctly and then calculate the height of the wall (if necessary, round your answer to 2 decimal places. SHOW ALL YOUR WORK. on label of drawing.
Answer:
18 feetStep-by-step explanation:
As per the diagram, the triangles on the left and right are similar.
The ratio of corresponding sides is equal:
27/9 = x/6x = 6*3x = 18The height of the wall is 18 feet
Answer:
[tex]\Huge\mathtt{\underline\pink {Answer}}[/tex]
[tex] \tt \frac{27}{9} = \frac{x}{6} [/tex]
[tex] \tt \: x = 6 \times 3 = 18[/tex]
So, height is 18 feet
If Lisa had three Apples and Bob
gave her to more. How many would
Lisa have all together.
Answer:
5
Step-by-step explanation:
3 + 2 = 5
Answer:
5
Step-by-step explanation:
Find the mean, the median and the mode of 12, 13, 9, 8, 8, 7, 6, 8, 10
Answer:
if I am not mistaken.. the median would be 9 and the the mean is also 9.
Step-by-step explanation:
first you order the numbers from least to greatest and the find with is the middle number to find the median.
6,7,8,8,8,9,10,12,13 (answer: 9)
To find the mean you will add all of the numbers up and then divide that number by the amount of numbers there are.
1) 6+7+8+8+8+9+10+12+13= 81
2) 81 ÷ 9 =9
Answer:
Mean: 9, Median: 8 Mode: 8
Step-by-step explanation:
MEAN: The AVERAGE total of all the values divided by the numbers of values.
6 + 7+ 8 + 8 + 8 + 9 + 10 + 12 + 13 = 81 81/9 (set of #'s)= 9
MEDIAN: The number in the MIDDLE of the list of values.
6, 7, 8, 8, 8, 9, 10, 12, 13 So, the middle value is 8
MODE: The number that appears the most.
6, 7, 8, 8, 8, 9, 10, 12, 13 So, 8 appears 3 times.
Hope this helps!
The Courtney family wants to expand their rectangular patio, which currently measures 13ftby 18 ft. They want to extend the length and width by the same amount to increase the total areaby 140 ft squared. Write a quadratic equation that models the situation. YOU DO NOT HAVE TO SOLVE.
Answer:
hi
Step-by-step explanation:
et the number of feet they are going to expand the width and length of the patio. ... But, we also know form our problem that they want to increase the total area of the patio by 160 ... Now we can equate the expanded area of the patio and simplify: ... Write the quadratic equation in standard form: x^2- 1 = -7x.
1/2x^2 -8x+3 NEED HELPPPPPPP NOWWWWW
Answer: 1 /2 ( x 2 − 16 x + 6 )
Step-by-step explanation:
Answer:
(8,-29)
Step-by-step explanation:
Comment if you need work
Brainliest would be appreciated :)
х 1 2 3 4
y 9 18 27 36
y= ______Х
Answer:
9
Step-by-step explanation:
basically multiplying each number by 9
1x9=9 2x9=18 3x9=27 and 4x9=36
it's pretty easy tbh (love the pfp)
From an inventory of 48 new cars being shipped to local dealerships, corporate reports indicate that 12 have defective radios installed. What is the probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios
Answer:
0.6864 = 68.64% probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios
Step-by-step explanation:
The cars are chosen without replacement, so the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
48 new cars being shipped to local dealerships, corporate reports indicate that 12 have defective radios installed.
This means that [tex]N = 48, k = 12[/tex]
8 cars received.
This means that [tex]n = 8[/tex]
What is the probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios
This is
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,48,8,12) = \frac{C_{12,0}*C_{36,8}}{C_{48,8}} = 0.0802[/tex]
[tex]P(X = 1) = h(1,48,8,12) = \frac{C_{12,1}*C_{36,7}}{C_{48,8}} = 0.2655[/tex]
[tex]P(X = 2) = h(2,48,8,12) = \frac{C_{12,2}*C_{36,6}}{C_{48,8}} = 0.3407[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0802 + 0.2655 + 0.3407 = 0.6864[/tex]
0.6864 = 68.64% probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios
Una ciudad se encuentra 17 km al oeste y 8 km al norte de otra ¿cual es la distancia lineal entre las dos ciudades?
Answer:
Could you put this in english so that i'm able to answer..?
Step-by-step explanation:
Lines and care parallel
What is the measure of _22
m_2 = 31°
m_2 = 50°
m22 = 120
56
m_2 = 130
Answer:
the answer to your question is m22=120
1/4 + 2/3 = equals what
II. Read and analyze the given problem. Write your answer on a separate sheet of paper.
Using the figure below, solve for the value of x and find the length of EF and GH.
Answer:
kjkh
Step-by-step explanation:
hkkhk
6x + 7y = 3y - 3
Step 2 of 2: Find the equation of the line which passes through the point (-13, -8) and is perpendicular to the given line.
Express your answer in slope-intercept form. Simplify your answer.
Answer:
y = 2x/3 + 2/3
Step-by-step explanation:
1. Find the slope of the given line.
y = mx + b
6x + 7y = 3y -3
4y = -6x - 3
y = (-6x-3)/4 = -3x/2 - 3/4
The slope of y = -3/2
The slope of a line perpendicular to the line of 6x + 7y = 3y -3 would be the negative reciprocal of the slope so the slope of the line perpendicular would be -1/(-3/2) = 2/3
The equation would be:
y = 2x/3 + b
Since b is unknown, but a point is known, we plug in x and y values.
-8 = 2*(-13)/3 + b
Then solve for b:
b = 2/3
BRAINLYIST to first person to answer is correct.
Which graph shows the solution set for 2 x + 3 greater-than negative 9?
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Answer:
i think its A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Step-by-step explanation:
So , the value of x is greater then -6 . So , Correct option is A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
I need it please somebody
Answer:
x = 2
Step-by-step explanation:
m<WUV = 2(m<1) (angle bisector)
28x = 2(13x + 2)
28x = 26x + 4
Collect like terms
28x - 26x = 4
2x = 4
2x/2 = 4/2
x = 2
dara has 188 baseball cards. she sells 1/4 of them and gives 1/2 of them to her brother. how many cards does she have left?
Suppose that we have a sample space S5 {E1, E2, E3, E4E4E, E5, E6, E7}, where E1, E2, . . ., E7 denote the sample points. The following probability assignments apply: P(E1) 5 .05, P(E2) 5 .20, P(E3) 5 .20, P(E4) 5 .25, P(E5) 5.15, P(E6) 5 .10, and P(E7) 5 .05. LetA5{E1,E4E4E,E6}B5{E2E2E,E4E4E,E7E7E}C5{E2E2E,E3,E5,E7E7E}a.Find P(A(A(), P(B), and P(C).b.Find AB and P(A(A(>B).d.Are events A and C mutually exclusive?C mutually exclusive?Ce.Find Bc and P(Bc).
Answer:
P(A) = 0.4 ; P(B) = 0.50 ; P(C) = 0.60 ; P(A u B) = 0.65 ; P(A n B) = 0.25 ;
A and C are mutually exclusive ;
0.5
Step-by-step explanation:
S = {E1, E2, E3, E4, E5, E6, E7}
P(E1) = .05, P(E2) = .20, P(E3) = .20, P(E4) = .25, P(E5) = .15, P(E6) = .10, and P(E7) = .05
Let:
A{E1,E4,E6}
B{E2,E4,E7}
C{E2,E3,E5,E7}
P(A) = 0.05 + 0.25 + 0.10 = 0.40
P(B) = 0.20 + 0.25 + 0.05 = 0.50
P(C) = 0.20 + 0.20 + 0.15 + 0.05 = 0.60
AUB = {E1, E2, E4, E6, E7}
P(A u B) = 0.05 + 0.20 + 0.25 + 0.10 + 0.05 = 0.65
AnB = {E4}
P(A n B) = 0.25
A and C are mutually exclusive if AnC = ∅
A n C = ∅
Hence, A and C are mutually exclusive.
B complement = B' = {E1, E3, E5, E6}
P(B') = 0.05 + 0.20 + 0.15 + 0.10 = 0.5
convert to mixed number
A. 3 2/5
B. 1 3/5
C. 2 1/2
hope this helps!!
BRAINLIEST PLS??
Solve the system of equations.
5x - 4y = -10
- 4x + 5y = 8
y =
Answer:
x= -2
y= 0
Step-by-step explanation:
check answer
5(-2)-4(0)= -10
-10-0= -10 (TRUE)
-4(-2)+5(0)= 8
8+0= 8 (TRUE)
Answer: 5x−4y=−10;−4x+5y=8
Step-by-step explanation:
Which of the following are factors of:
6x2−11x+4
Question 11 options:
(2x-1)
(2x-4)
(x+4)
(6x+1)
(3x-4)
(3x-1)
What is the magnitude and direction of with tail and head points M(-3, -2) and N(4, 0)?
Answer:
Step-by-step explanation:
difference of x-coordinates = 4-(-3) = 7
difference of y-coordinates = 0-(-2) = 2
length of MN = √(7²+2²) = √53 ≅ 7.28 units
tanθ = 2/7
θ = arctan(2/7) ≅ 15.9°
heading = 74.1° from north
The magnitude and direction of points M(-3, -2) and N(4, 0) is 7.28 units and 74.1 degrees
How to determine the magnitude and direction?We have:
M(-3, -2) and N(4, 0)
Calculate the magnitude using
[tex]MN =\sqrt{(x_2 -x_1)^2 +(y_2 -y_1)^2[/tex]
This gives
[tex]MN =\sqrt{(4 + 3)^2 +(0 + 2)^2[/tex]
Evaluate
MN = 7.28
The direction is calculated as:
[tex]\theta = 90 - \tan^{-1}(\frac{y_2 - y_1}{x_2 -x_1})[/tex]
This gives
[tex]\theta = 90 -\tan^{-1}(\frac{0+2}{4+3})[/tex]
[tex]\theta =90 - \tan^{-1}(\frac27)[/tex]
Take the arc tan
[tex]\theta = 90 - 15.9\°[/tex]
Evaluate
[tex]\theta = 74.1\°[/tex]
Hence, the magnitude and direction of points M(-3, -2) and N(4, 0) is 7.28 units and 74.1 degrees
Read more about magnitude and direction at:
https://brainly.com/question/3184914
#SPJ6
Solve the system of equations using elimination
Answer:
(1, 3).
Step-by-step explanation:
x + 2y = 7
3x - 2y = -3
Adding the 2 equations will eliminate y:
4x = 4
x = 4/4
x = 1
Plug x = 1 into the first equation:
1 + 2y = 7
2y = 6
y = 3.
Twice Carrie’s age increased by three is equal to twenty-five. Which equation can be used to find Carrie’s age, x
Need help pls!!!!!!!!!!?
Answer:
2, 4, & 6 = 84 degrees
1, 3, 5 , & 7 = 96 degrees
Step-by-step explanation:
Please help this is due in 20 mins, I will give brainliest
Answer:
L = 5[tex]\sqrt{10}[/tex]
Step-by-step explanation:
use Pythagorean Theorem:
L² + (5[tex]\sqrt{2}[/tex])² = (10[tex]\sqrt{3}[/tex])²
L² + 25(2) = 100(3)
L² + 50 = 300
L² = 250
L = [tex]\sqrt{250}[/tex] = [tex]\sqrt{25}[/tex] · [tex]\sqrt{10}[/tex] = 5[tex]\sqrt{10}[/tex]
Answer:
by Pythagoras law
(10√3)²=l²+(5√2)²
100×3-25×2=l²
l²=25o
l=√250=5√10
:.l=5√10
I need help ASAP
Kari and Julie are practicing for basketball tryouts. Kari makes 3 less than twice as many baskets as Julie. Part B Write an expression with three terms for the number of baskets that Kari and Julie make in all. Explain how you found your expression.Part C If Julie makes 18 baskets, how many baskets does Kari make? How many baskets do they make in all? Kari makes_______baskets. Kari and Julie make_______baskets in all.
Answer: kari makes 33 and 51 all together
Step-by-step explanation:
If 36% of a number is 325, what is 15% of the number?
Answer:
135.4166
Step-by-step explanation:
What number does x stand for in this equation?
-7x + 6= 27
A
21
B
2
C
-3
D
-7
Answer:
C. -3
Step-by-step explanation:
Subtract 6 from 27 and then divide 21 (27-6) by -7 to get -3
three consecutive odd integers are such that times the smallest is 9 more than twice the largest. Find the 3 numbers
Answer:
If we assume 'x' an odd number let's say 1, then the other two consecutive odd integers are 1+2 and 1+4,
So assume the three consecutive odd integers be x, x+2 and x+4.
It's obvious that x is the smallest and x+4 is the largest.
Therefore 3x=9+2(x+4)
Solving for x: we get x = 17.
Hence, the three consecutive odd no. are 17, 19, 21
I hope it's helpful!
Algebraic expression for each work phrase and then simplify The sum of four and x minus two
3(k-2)+7=29-k denklemin kökünü bul
Answer:
k = 7
Step-by-step explanation:
3(k - 2) + 7 = 29 - k
3k + k = 29 + 6 - 7
4k = 28
k = 7
