Answer:
P(72 ≤ x ≤ 400) = 0.82. Correct: C.
Explanation:
Probability Distribution
In any probability distribution, the total probability of the sample space must be 1.
Since the sample space is given as a random variable x that takes values from 0 to 400, then:
P(0 ≤ x ≤ 400) = 1
For any value of x:
If the sample space is divided into two parts like:
P(0 ≤ x ≤ 72) and P(72 ≤ x ≤ 400), then the combined probability must be 1:
P(0 ≤ x ≤ 72) + P(72 ≤ x ≤ 400) = 1
Or, equivalently:
P(72 ≤ x ≤ 400) = 1 - P(0 ≤ x ≤ 72)
P(72 ≤ x ≤ 400) = 1 - 0.18
P(72 ≤ x ≤ 400) = 0.82
A. The value 0.92 is not correct since does not match with the value 0.82.
B. The value 0.18 is not correct since does not match with the value 0.82.
C. This is the correct value. Correct Choice
D. The value 0.982 is not correct since does not match with the value 0.82.
Answer: .82
Step-by-step explanation:
Took the test
Item 12
SA−→ bisects ∠RST and m∠RST=54.2∘. Find m∠RSA and m∠AST.
Answer:
m∠RSA is 27.1° and m∠AST is 27.1°
Step-by-step explanation:
If a ray bisects an angle, then it divides it into two equal angles in measures and the measure of each one is half the measure of this angle
In the given question
∵ Ray SA bisects ∠RST
→ That means it divides it into two angles RSA and AST
∴ m∠RSA = m∠AST = [tex]\frac{1}{2}[/tex] m∠RST
∵ m∠RST = 54.2°
→ Multiply its measure by to find the measures its parts
∴ m∠RSA = [tex]\frac{1}{2}[/tex] × 54.2°
∴ m∠RSA = 27.1°
∴ m∠AST = [tex]\frac{1}{2}[/tex] × 54.2°
∴ m∠AST = 27.1°
[tex]24 + 42 - 5[/tex]
whats the answer.
Answer:
61
Step-by-step explanation:
dumb questions
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A square and an equilateral triangle have the same perimeter. Each side of the triangle is 3 inches longer than each side of the square. What is the perimeter of the square?
ASAP I ONLY HAVE 15 MINUTES
Answer:
36 inches
Step-by-step explanation:
Q = length of the sqaure
T = length of the triangle
Equation 1: 4Q = 3T
Equation 2: T = 3+Q;
Then, subsitute T=3+Q into equation 1:
4Q = 3(3+Q)
4Q = 9 + 3Q
Q = 9
-----
Each side of the square is 9 inches, so the perimeter will be 9X4 = 36inches
helpp pleasee ................................
Answer: Choice C) [tex]3.9098 \times 10^8[/tex]
=========================================
Work Shown:
[tex]4.8388 \times 10^8 - 9.29 \times 10^7\\\\4.8388 \times 10^8 - \left(0.929\times10^{1}\right) \times 10^7\\\\4.8388 \times 10^8 - 0.929\times10^{1+7}\\\\4.8388 \times 10^8 - 0.929\times10^8\\\\\left(4.8388-0.929\right) \times 10^8\\\\3.9098 \times 10^8\\\\[/tex]
-----------------
Side notes:
[tex]4.8388 \times 10^8 = 483,880,000[/tex] = almost close to 484 million[tex]9.29 \times 10^7 = 92,900,000[/tex] = close to 93 million[tex]3.9098 \times 10^8 = 390,980,000[/tex] = just a bit under 391 millionfind the slope of the line that passes through the points (1, -4) and (3, -1)
A. 5/4
B. 2/3
C. -3/2
D. 4/5
E. 3/2
Answer:
e
Step-by-step explanation:
1,-4
3,-1
-1-(-4) = 3
3-1 is 2
slope is 3/2
Fill in the missing statement and reason of the proof below.
Given: \overline{AC} \perp \overline{BD}
AC
⊥
BD
and \angle ABD \cong \angle CBD.∠ABD≅∠CBD.
Prove: \triangle ABC△ABC is an isosceles triangle.
Answer:
b
Step-by-step explanation:
it’s b on edge
$3,900 Is deposited into a bank paying 13.5% simple interest per year. How much interest will have been paid after 11 years? ranswer
Answer:
$5791.5
Step-by-step explanation:
13.5% = $526.5 each year
Can sombody please help me solve this: x + 14 = 7x + 32 – 3x
x+14 = 7x+32-3x
x+14 = 4x+32
-x -x
14 = 3x+32
-32 -32
-18 = 3x
/3 /3
-6 = x
x = -6
Answer:
x=-6
Step-by-step explanation:
x+14=7x+32-3x
x+14=7x-3x+32 group like terms
x+14=4x+32 add similar element
x+14-14=4x+32-14 subtract 14 from both sides
x=4x+18 simplify
x-4x=4x+18-4x subtract 4 from both sides
-3x=18
then divide both sides by 3
and then simplify
then u get x=-6
please help Thank you To anyone that helps
please help me fast !!!!!
Answer:
2nd option
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
121.8° is an exterior angle of the lower triangle , then
∠ 2 + 17.3° = 121.8° ( subtract 17.3° from both sides )
∠ 2 = 104.5°
------------------------------------
∠ 2 is an exterior angle of the upper triangle , then
∠ 1 + 37.1° = 104.5° ( subtract 37.1° from both sides )
∠ 1 = 67.4°
pls solve both questions for brainliest :)
Answer:
b n=5
c. n=4
Step-by-step explanation:
Sameera predicted that she would sell 38 blankets, but she actually sold 28 blankets. Which expression would find the percent error? Use the table below to help answer the question.
Percent Error
Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Blankets
38
28
10
10
StartFraction 10 over 38 EndFraction (100)
StartFraction 10 over 28 EndFraction
StartFraction 10 over 28 EndFraction (100)
StartFraction 10 over 38 EndFraction
Answer:
i think it would be percent error
she was off by 35.7143%
a
Step-by-step explanation:
hope this helps if im correct please can i have brainly
Which expression is equivalent to 5(4x + 3)
Hey there!
5(4x + 3)
DISTRIBUTE 5 WITHIN the PARENTHESES
= 5(4x) + 5(3)
WEIRD WAY TO SIMPLIFYING MULTIPLICATION
= 5x + 5x + 5x + 5x + 5 + 5 + 5
= 10x + 10x + 10 + 5
= 20x + 15
Therefore, your answer is: 20x + 15
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Help me solve this problem please
Answer:
3 is not a Zero of the Function
Answer:
C
Step-by-step explanation:
Describe how matter exists in three common states - solids, liquids and gases. Describe each by a
set of distinguishing properties.
20 points
Select the correct answer.
Solve the following equation by completing the square.
A.
B.
C.
D.
Answer:
x = 2 + sqrt(2) or x = 2 - sqrt(2) thus B. is your answer
Step-by-step explanation:
Solve for x over the real numbers:
4 x^2 - 16 x + 8 = 0
Hint: | Write the quadratic equation in standard form.
Divide both sides by 4:
x^2 - 4 x + 2 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 2 from both sides:
x^2 - 4 x = -2
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 4 to both sides:
x^2 - 4 x + 4 = 2
Hint: | Factor the left-hand side.
Write the left-hand side as a square:
(x - 2)^2 = 2
Hint: | Eliminate the exponent on the left-hand side.
Take the square root of both sides:
x - 2 = sqrt(2) or x - 2 = -sqrt(2)
Hint: | Look at the first equation: Solve for x.
Add 2 to both sides:
x = 2 + sqrt(2) or x - 2 = -sqrt(2)
Hint: | Look at the second equation: Solve for x.
Add 2 to both sides:
Answer: x = 2 + sqrt(2) or x = 2 - sqrt(2)
Answer:
B
Step-by-step explanation:
I need help on this question
Answer:
[tex]-\frac{21}{2} < x < -5[/tex]
Solve the inequality
[tex]-3 < 2x+18 < 8[/tex]
Separate compound inequalities into system of inequalities
[tex]\left \{ {{2x+18 > -3} \atop {2x+18 < 8}} \right.\\ 2x+18 > -3\ and[/tex] [tex]2x-18 < 8[/tex]
Rearrange variables to the left side of the equation
[tex]2x > -3-18[/tex] [tex]2x < 8-18[/tex]
Calculate the sum or difference
[tex]2x > -21[/tex] [tex]2x < -10[/tex]
Divide both sides of the inequality by the coefficient of variable
[tex]x > -\frac{21}{2}[/tex] [tex]x < -\frac{10}{2}[/tex]
Cross out the common factor
[tex]x < -5[/tex]
[tex]x > -\frac{21}{2}\ and\ x < -5[/tex]
Find the intersection
[tex]-\frac{21}{2} < x < -5[/tex]
I hope this helps you
:)
A study investigated about 3000 meals ordered from Chipotle restaurants using the online site Grubhub. Researchers calculated the sodium content (in milligrams) for each order based on Chipotle's published nutrition information. The distribution of sodium content is approximately Normal with mean 2000 mg and standard deviation 500 mg. About what percent of the meals ordered exceeded the recommended daily allowance of 2400 mg of sodium?
Answer:
21.186%
Step-by-step explanation:
z = (x-μ)/σ,
where
x is the raw score = 2400mg
μ is the population mean = 2000mg
σ is the population standard deviation = 500mg
z = 2400 - 2000/500
z = 0.8
Probability value from Z-Table:
P(x<2400) = 0.78814
P(x>2400) = 1 - P(x<2400) = 0.21186
Converting to percentage:
0.21186 × 100
= 21.186%
Therefore, the percent of the meals
ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%
21.186% of the meals ordered exceeded the recommended daily allowance of 2400 mg of sodium.
It is known that 3000 meals ordered from Chipotle restaurants using the online site Grubhub.
And the distribution of sodium content is approximately Normal with mean 2000mg and standard deviation 500 mg.
We know,
[tex]z = \frac{(x- \mu)}{\(\sigma\)}[/tex],
And daily allowance of 2400 mg of sodium
x is the raw score = 2400mg
μ is the population mean = 2000mg
σ is the population standard deviation = 500mg
[tex]z = \frac{2400 - 2000}{500}[/tex]
z = 0.8
Probability value from Z-Table:
[tex]P(x<2400) = 0.78814\\P(x>2400) = 1 - P(x<2400) \\= 0.21186[/tex]
Converting to percentage:
[tex]= 0.21186 (100)\\= 21.186%[/tex]
Therefore, the percent of the meals ordered that exceeded the recommended daily allowance of 2400 mg of sodium is 21.186%.
Learn more:https://brainly.com/question/14601433
What is the formula for area?
A. area = width + length
B. area = length x width
C. area = width ÷ length
D. area = length x height
I need help, i will give points.
Simplify (27x^3-64/3x-4)
Answer:
9x² + 12x + 16
Step-by-step explanation:
(27x³ - 64) / (3x - 4)
= (3x - 4)(9x² + 12x + 16) / (3x - 4)
= 9x² + 12x + 16
find the missing side length ( find ?)
Answer: 35
Step-by-step explanation:
PLEASE HELPPPPPPPPPPPPP
Answer:
sure.. 16pi
Step-by-step explanation:
use the equation
[tex]a = \pi \: {r}^{2} [/tex]
[tex]radius = diameter \div 2[/tex]
r = 8÷2 = 4 ft
[tex]a = \pi \times {4 }^{2} [/tex]
[tex]a = 16 \: \pi[/tex]
1
1
15. Ratan bought 2 - m of iron wire and 3.
4
3
of copper wire.
a) What is the total length of wires he
bought?
b) How much more copper wire than
iron wire did he buy?
can u send me the question once more correctly so that I can help u
My username is Ayaan707.
^_^
Answer:
Total length of wire bought = 2 1/4 + 3 1/3
=9/4 + 10/3
=9*3/4*3 + 10*4/3*4 (LCM)
= 27/12 + 40/12
=67/12= 5 7/12metre is the answer
Ayaan707 avatar
difference btw copper and iron wire = 40/12 - 27/12
=13/12= 1 1/12 metre of copper wire
Step-by-step explanation:
HOPE IT HELPS , JENNY
Daniel wants to buy Nike sneakers that cost $90.00 . he saved 25% of the money needed to purchase it . How much money does Daniel have ?
90-22.5=67.5
He has $67.5
Um monumento na cidade de São Paulo, foi construído seguindo a forma de um tronco de pirâmide de bases quadradas. Seu volume é de 21000 m³ e sua altura é de 30 m. Sabendo que sua base maior tem aresta medindo 40 m, calcule a medida da aresta da sua base menor.
Responda:
15cm
Explicação passo a passo:
Volume de uma pirâmide = Área da Base × Altura / 3
Dado
Volume = 2100m³
Altura da pirâmide = 30m
Vamos obter a área base primeiro, substituindo o valor dado na fórmula.
2100 = B (30) / 3
2100 = 30B / 3
2100 = 10B
10B = 2100
Divida os dois lados por 10
10B / 10 = 2100/10
B = 210cm²
Como a base é um quadrado
área da base quadrada = 210cm²
L² = 210
L = √210
L = 14,49cm
C ≈ 15cm
Portanto, a medida da borda de sua menor base é de aproximadamente 15 cm
Which statement describes the solution to this system of equations?
2x−4y=8
8x−16y=32
Select the statement that correctly describes the solution to this system of linear equations.
A
There is no solution.
B
There are infinitely many solutions.
C
There is exactly one solution at (8, –4).
D
There is exactly one solution at (2, –16).
Q. Mary lost 30 pounds. Before her diet she weighed 180 pounds. What is the
percent of change?
Answer:
16.67%
Step-by-step explanation:
A fraction consists of two numbers and a fraction bar:
30/180
The number above the bar is the numerator: 30
The number below the bar is the denominator: 180
Divide the numerator by the denominator to get fraction's value:
Val = 30 ÷ 180
30/180=16.666666667
16.666666667= 16.67%
Answer:
16.67
Step-by-step explanation:
What is the value of X in the equation 5X +3 is equal to 4X
Answer:
Step by step equation:
5x + 3 = 4x
5x = 4x - 3
5x - 4x = -3
x = -3
Hope it helped,
Happy homework/ study/ exam!
Answer:
x= -3
Step-by-step explanation:
When solving these equations you must leave only one variable.
1. 5x+3=4x subtract variables
2. 3= -1x make x positive
3. x= -3
Please help..... TvT
Answer:
1/3 -- 33.3%
37/100 -- 0.37
1/4 -- 25%
19/50 -- 30%
3/20 -- 15%
Step-by-step explanation:
Simplify 3(-6+8i)-(2-12i)
Answer:
-20+12i
Step-by-step explanation:
(-18+24i)-(2-12i)
-20+24i-12i
-20+12i
i = -1.666 or -1 and 2/3
Answer:
-20+11i
Step-by-step explanation:
3(-6+8i)-1 (2-12i)
-18+24i -2-13i
-20+11i