Answer:
Step-by-step explanation:
Need the diagram for reference in order to answer...........
A right triangle has sides 20 and 48. Use the Pythagorean Theorem to find the length of the hypotenuse
Answer: Let the length of the hypotenuse be x
Applying the Pythagorean theorem we have :
x²=20²+48²
⇒x²=2704
⇒x=52( ∀ x >= 0 )
Step-by-step explanation:
Let assume the hypotenuse(longest side of right triangle) be x
By Pythagoras theorem
[tex] \bf \large \longrightarrow \: {c}^{2} \: = \: {a}^{2} \: + \: {b}^{2} [/tex]
c = xa = 20b = 48Applying Pythagoras theorem
[tex] \bf \large \implies \: {x}^{2} \: = \: {20}^{2} \: + \: {48}^{2} [/tex]
[tex]\bf \large \implies \: {x}^{2} \: = \:400 \: + \: 2304[/tex]
[tex]\bf \large \implies \: {x}^{2} \: = \:2704[/tex]
[tex]\bf \large \implies \: \sqrt{x} \: = \: \sqrt{2704} [/tex]
[tex]\bf \large \implies \: \: x \: = \: 52[/tex]
Hence , the length of hypotenuse is 52.
The probability distribution of a random variable X is given. x 1 2 3 4 P(X = x) 0.4 0.1 0.3 0.2 Compute the mean, variance, and standard deviation of X. (Round your answers to two decimal places.) mean variance standard deviation
Mean:
[tex]E(X) = \displaystyle \sum_{x\in\{1,2,3,4\}}x\,P(X=x) = 1\times0.4 + 2\times0.1 + 3\times0.3 + 4\times0.2 = \boxed{2.3}[/tex]
Variance:
[tex]\displaystyle V(X) = E\left((X-E(X))^2\right) = E(X^2) - E(X)^2 \\\\ E(X^2) = \sum_{x\in\{1,2,3,4\}}x^2\,P(X=x) = 1^2\times0.4 + 2^2\times0.1 + 3^2\times0.3 + 4^2\times0.2 = 6.7 \\\\ \implies V(X) = 6.7 - 2.3^2 = \boxed{1.41}[/tex]
Standard deviation:
[tex]\sigma_X = \sqrt{V(X)} = \sqrt{1.41} \approx \boxed{1.19}[/tex]
find the perimeter of the polygon
Answer:
50
Step-by-step explanation:
19-7=12
6+6+7+19+12
3. Solve the system of equations using the elimination method.
5x + 2y = 9
-5x + 4y = 3
please give detailed steps!!
Answer:
x = 1
y = 2
Step-by-step explanation:
5x + 2y = 9
-5x + 4y = 3
==> 6y = 12 ==> y = 12/6 ==> y = 2.
we replace y by its value in the first or the second equation, so will have:
5x + 2×2 = 9
5x + 4 = 9
5x = 5
x = 1
allowing 20% discount on the marked price of a watch, the value of the watch will be rs 6328, when a VAT of 13% is added find it's marked price
Step-by-step explanation:
let , MP =x
then,
discount amount =D% of MP
= (20/100)× x
= 0.2x
now,Sp without VAT = MP-D
=x - 0.2x
= 0.8x
NoW, SP with VAT = Sp without VAT+ VAT %of SP
or ,6328 = 0.8x + 13% of 0.8x
or, 6328 = 0.8x + (13/100) × 0.8x
or, 6328= 0.8x + 0.104x
or,. 6328= 0.904x
or, X= 6328/0.904
X= 7000 Rs.
Hence ,MP is Rs.7000
Question 7 of 10
What is the slope of the line described by the equation below?
y-9 = -2(x-8)
Answer:
The slope is -2 and a point on the line is (8,9)
Step-by-step explanation:
The equation is in point slope form
y -y1 = m(x-x1) where (x1,y1) is a point on the line and m is the slope
y-9 = -2(x-8)
The slope is -2 and a point on the line is (8,9)
Five subtracted from seven times a number is 9. What is the number?
A) Translate the statement above into an equation that you can solve to answer this question. Do not solve it yet. Use
x
as your variable.
The equation is _____________
B) Solve your equation in part [A] for
Answer:
x=
Answer:
18
Step-by-step explanation:
7-5=2
2x9=18
Pete receives a weekly allowance for doing chores around the
house. Pete saves his money for 17 weeks. After 17 weeks, he
saves $187. How much money does Pete get for his allowance
each week
9514 1404 393
Answer:
A. $11 per week
Step-by-step explanation:
$187 = (17)(weekly allowance) . . . . . Pete's savings after 17 weeks
weekly allowance = $187/17 = $11 . . . . . divide by 17
Pete gets $11 each week.
Answer:11 per week
Step-by-step explanation:I did the test
If ‘BOXES’ is OBXSE, then BOARD is
9514 1404 393
Answer:
OBADR
Step-by-step explanation:
The first two letters are swapped, and the last two letters are swapped.
BOARD . . . becomes
OBADR
1. Ewa has 20 balls of four colors: yellow, green, blue, and black. 17 of them are not green, 5 are black, and 12 are not yellow. How many blue balls does Ewa have? (Use Gaussian elimination method).
Answer:
In a bag of balls, 1/4th are green, 1/8th are blue, 1/12th are yellow and the remaining 26 are white. How many balls are blue?
There are 4 colours of balls - green, blue, yellow and white.
Add (1/4)+(1/8)+(1/12) = (6/24)+(3/24)+(2/24) = 11/24 so the balance or (24–11)/24 = 13/24 = 26 white. Hence the total number of balls are 2*24 = 48.
Of the 48 balls, green are (1/4)*48 = 12, blue are (1/8)*48 = 6, yellow are (1/12)*48 = 4 and the rest, white are 26.
Check: Total number of balls = 12+6+4+26 = 48
Answer: 6 balls are blue....
if a stone is dropped from a cliff that is 122.5m high then its height in meters after t seconds is h=122.5-4.9t^2. find its velocity after 2s
Answer:
Step-by-step explanation:
Let t = 2
h = 122.5 - 4.9·2² = 122.5-19.6 = 102.9
What is the x-coordinate of the point of intersection for the two lines below?
-6 + 8y = -6
7x -10y = 9
Answer choices
1.) -6
2.) -3
3.) 3
4.) 7
Answer:
c.
Step-by-step explanation:
A. The interquartile range is 55
B.Three fourths of the data is less than 65
C. The median of the upper half of the data is 65
D. The median if the data is 55.
Answer:
d the median if the data is 55
Find the length of FT
Step-by-step explanation:
Hey there!
From the given figure;
Angle FVT = 43°
VT = 53
Taking Angle FVT as reference angle we get;
Perpendicular (p) = FT = ?
Base (b) = VT = 53
Taking the of tan;
[tex] \tan( \alpha ) = \frac{p}{b} [/tex]
Keep all values and simplify it;
[tex] \tan(43) = \frac{ft}{53} [/tex]
0.932515*53 = FT
Therefore, FT= 49.423.
Hope it helps!
Answer:
A. 49.42
Step-by-step explanation:
tan 43 = FT ÷ VT
0.932515086 = FT ÷ 53
49.42 = FT
y
Which point on the x-axis lies on the line that passes
through point C and is parallel to line AB?
5 4
C
NU
1
O (1,0)
O (1, 1)
0 (0, 2)
O (20)
А
54
214
2 3
4 5
х
h
B
3
4
ch
I think it's (2,0).
Because u use the slope of line AB to go down from point C until one of the answers are met.
The point on the x-axis that will make the line that passes through point C parallel to line AB is: D. (2, 0).
Slope of Parallel LinesTwo lines on a coordinate plane are parallel to each other if they have the same slope.Slope = change in y/change in x.Slope of AB = -(3/6)
Slope of AB = -1/2
Slope of from point (2, 0) to point C(-2, 2):
Slope = (2 - 0)/(-2 - 2) = 2/-4
Slope = -1/2
Therefore, the point on the x-axis that will make the line that passes through point C parallel to line AB is: D. (2, 0).
Learn more about slope of parallel lines on:
https://brainly.com/question/10790818
Select the correct answer.plz answer fast due at 11:59
What is the solution for x in the equation?
-4 + 5x − 7 = 10 + 3x − 2x
A. x=4/13
B. x=13/4
C. x=4/21
D. x=21/4
Question: -4 + 5x -7 = 10 + 3x -2x
⇒ 5x -11 = 10 + x
⇒ 5x - x = 10+11
⇒ 4x = 21
⇒ x = 21/4
Answer is Option D
x = 21/4
Must click thanks and mark brainliest
In a high school graduating class of 300, 200 students are going to college, 40 are planning to work full-time, and 80 are taking a gap year.
a. These are mutually exclusive events.
b. These are not mutually exclusive events.
c. You should add their individual probabilities.
d. None of the above are true.
A normal distribution has a mean of 20 and a standard deviation of 4. Determine the z-score for the data value of 42.
Answer:
Z = (42-20)/4 = 5.5
Z = X-μ / σ
Step-by-step explanation:
The z-score for the data value of 42 is 5.5.
What is a z-score?A z-score is defined as the fractional representation of data point to the mean using standard deviations.
Formula of z-score = (X - μ) / σ
Given,
μ = 20
σ = 4
X = 42
z-score = (X - μ) / σ
Substitute the values,
z-score = (42-20)/4
z-score = 22/4
z-score = 5.5
Hence, the z-score for the data value of 42 is 5.5.
Learn more about z-score here:
brainly.com/question/13793746
#SPJ5
please help! thanks!
find y.
Answer:
y = 4
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is
1 : √3 : 2
The sides in this triangle are in the order:
y : 4√3 : x
y/1 = 4√3/√3
y = 4
–21:(–2 – 5) + ( –14) + 6.(8 – 4.3)
if f(x)=x+7 and 9(x)=1/x-13 what is the domain of (f•g)(x)
Answer:
The only limitation is x≠0
The interval notation is (-∞,0)∪(0,∞)
Step-by-step explanation:
Set up the expression.
[tex](x+7)*(\frac{1}{x}-13)[/tex]
Multiply using FOIL.
[tex](x*\frac{1}{x})+(x*-13)+(7*\frac{1}{x})+(7*-13)[/tex]
[tex]1-13x+\frac{7}{x}-91[/tex]
[tex]-13x+\frac{7}{x}-91[/tex]
Find the Domain.
The only limitation is x≠0
The interval notation is (-∞,0)∪(0,∞)
The perimeter of a rectangular parking lot is 318m. If the width of the parking lot is 61m what is the length
Answer:
98 meters
Step-by-step explanation:
Simplify each side of the equation:
318 = 2(61+x)
318= (2)(61) + (2)(x)
318= 122 + 2x
Flip the equation:
2x + 122 = 318
Subtract 122 from each side:
2x + 122 − 122 = 318 − 122
2x = 196
Divide both sides by 2:
2x/2 = 196/2
x = 98
Select all correct answers
What are the solution to this equation
-7+(x^2-19)^3/4=20
Correct options are -10 and 10
-7 + (-10² - 19)³/⁴ = 20
-7 + (100 - 19)^3/4 = 20
-7 + (81)^3/4 = 20
-7 + 27 = 20
20 = 20
RHS = LHS
-7 + (10² - 19)^3/4 = 20
-7 + (100 - 19)^3/4 = 20
-7 + (81)^3/4 = 20
-7 + 27 = 20
20 = 20
RHS = LHS
Rest options are incorrect
Answered by Gauthmath must click thanks and mark brainliest
Answer:
B and C, so 10 and -10
Step-by-step explanation:
14 a and b please help
Step-by-step explanation:
14a. One method is two solve for x. Edit: I accidentally press sent. Repost the question and I'll answer it.
the difference between a number and 6
Step-by-step explanation:
=The difference between a number and 6
the term difference is used in mathmatics as subtraction
let x = a number
x - 6 = the difference between that unknown number and 6
Answer:
Step-by-step explanation:
difference means subtract. Difference is always worded the same way. What you have written means that you start with an algebraic letter and then comes the minus sign and then the number
Let the number = x
x - 6
If it was worded as difference between 6 and a number, you would write it this way
6 - x
IF YOU CAN ANSWER THIS QUESTION, YOU ARE A TRUE MEME LORD
Alan needs a total of $370 to buy a new bicycle. He has $40 saved. He earns $15 each week delivering newspapers. How many weeks will Alan have to deliver papers to have enough money to buy the bicycle?
CAN YOU DO IT??
Answer:
22 weeks
Step-by-step explanation:
Let Suppose if weeks is x
So if we count it:
$40 + $15x = $370
$15x = $330
x = 22 weeks
So, Alan needs 22 weeks to have enough money to buy the new bicycle
According to the Venn Diagram below and given that P(A) = 3 as well as
P(B) = 35 what is P(AUB)?
A. 65
B. 75
C. 55
D. 45
Find the area of the circle round your answer to the nearest 10th
Answer:
The area is 19.63.
Step-by-step explanation:
Step-by-step explanation:
Area of a circle is
[tex]area = \pi \: r ^{2} [/tex]
area=3.14(2.5)²
19.63in²
what song goes whoooooo Iiiiii smoooooooooke
Answer:
Lol yu lateee das "who i smoke by yung ace"
Step-by-step explanation:
Answer:
woogle said woo hoo by rock a teens
Step-by-step explanation:
If a= 3 and b= 5; find
(a+b)
Answer: 3/8
Step-by-step explanation:
A=3
B=5
3/3+5=3/8
