Answer:
0.0381
Step-by-step explanation:
This is a binomial probability distribution problem. Thus;
p = 10% = 0.1
We are told that A random sample of 8 light bulbs are chosen and tested. Thus, n = 8
We want to find the probability that at least 3 are defective. This will be;
P(X ≥ 3) = P(3) + P(4) + P(5) + P(6) + P(7) + P(8)
P(X = x) = C(n, x) × p^(x) × (1 - p)^(n - x)
Thus;
P(3) = C(8, 3) × 0.1³ × (1 - 0.1)^(8 - 3)
P(3) = C(8, 3) × 0.1³ × 0.9^(5)
P(3) = 0.03306744
Repeating this same procedure, we have;
P(4) = 0.0045927
P(5) = 0.00040824
P(6) = 0.00002268
P(7) = 0.00000072
P(8) = 0.00000001
Thus;
P(X ≥ 3) = 0.03306744 + 0.0045927 + 0.00040824 + 0.00002268 + 0.00000072 + 0.00000001 = 0.03809179
Approximately 0.0381
Two complementary angles have measures of `s` and `t`. If `t` is 9 less than twice `s`, what are the measures of each angle?
The value of s and t.
with work explaining.
Answer:
s measures 33° and t measures 57°.
Step-by-step explanation:
Since the two angles s and t are complementary, this implies that:
[tex]m\angle s+m\angle t=90[/tex]
We are given that t is 9 less than twice s. Hence:
[tex]m\angle t=2m\angle s-9[/tex]
We can substitute this into the first equation:
[tex]m\angle s+(2m\angle s-9)=90[/tex]
Solve for s. Combine like terms:
[tex]3m\angle s-9=90[/tex]
Adding 9 to both sides yields:
[tex]3m\angle s=99[/tex]
And dividing both sides by 3 gives us that:
[tex]m\angle s=33^\circ[/tex]
Returning to our second equation, we have:
[tex]m\angle t=2m\angle s-9[/tex]
So:
[tex]m\angle t=2(33)-9=66-9=57^\circ[/tex]
So, s measures 33° and t measures 57°.
Answer:
Two complementary angles have measures of `s` and `t`.
Hence, s+t=90°
`t` is 9 less than twice `s`, t=2s-9
According to the above problem,
→s+t=90
→s+2s-9=90
→3s=99
→s=99/3
→s=33
Therefore, the value of s=33°and t=2(33)-9 = 66-9 = 57°.What is the answer? Does anyone know?
Answer:
the answer is C <3
Step-by-step explanation:
Please help im desperate
Tickets to a freshman basketball game are $5 for students and $8 for adults. Last week 64 tickets were sold to the game for a total of $461. How many of each ticket were sold?
Answer:
Step-by-step explanation:
Let s be number of students and a be number of adults.
a + s = 64 -> 5a + 5s = 320
8a + 5s = 461
(8a + 5s) - (5a + 5s) = 461 - 320
3a = 141
a = 47
a + s = 64 -> s + 47 = 64 -> s = 17
Please thank, rate 5, and give brainliest if helpful!
Answer:
a + s = 64 -> 5a + 5s = 320
8a + 5s = 461
(8a + 5s) - (5a + 5s) = 461 - 320
3a = 141
a = 47
a + s = 64 -> s + 47 = 64 -> s = 17
give brainliest if helpful!
Write an inequality. The temperature is supposed to be below 29 degree to night
Answer:
t<29
Step-by-step explanation:
t=temp
CAN SOMEONE PLEASE HELP ME!!!
In order to determine her pulse rate, June’s nurse counted 18 beats in her pulse in 15 seconds. At this rate, how many beats would she have in 60 seconds?
In this Problem you can use the Cross Multiplication.
If in 15 seconds the nurse counted 18 beats, so in 60 seconds she will count x beats.
15 seconds = 18 beats
60 seconds = x beats
You use the cross multiplication and multiply 60 by 18 and 15 by x, so you get:
15x = 60 * 18
15x = 1080
Then, you divide 15x and 1080 by 15 each, so you get:
x = 72
So, the Nurse counted 72 beats in 60 seconds
Yourwelcome :)
Answer: 72 bmp
Step-by-step explanation: multiply by 4 because 15 goes into 60 4 times
Which of the following represents a function?
(5, 1), (5, 2), (5, 3), (5, 4)
(3, 4), (-3, 2), (3, 8), (5, 5)
(-1, 2), (-2, 1), (-1, -2), (-2, -1)
(2, 3), (4, 3), (-2, -3), (-4, -3)
f is inversely proportional to √ g . When f = 8 , g = 25 Work out f when g = 16
Answer:
f = 10
Step-by-step explanation:
find out the constant of variation 'k': F = k/[tex]\sqrt{g}[/tex]
8 = k/ [tex]\sqrt{25}[/tex]
k = 8 · 5
k = 40
f = 40/[tex]\sqrt{16}[/tex]
f = 40/4
f = 10
Express in the form 1 : n . Give n as a decimal. 20 : 15
Answer:
1 : 0.75
Step-by-step explanation:
Given the ratio
20 : 15 ← divide both parts by 20
[tex]\frac{20}{20}[/tex] : [tex]\frac{15}{20}[/tex]
= 1 : 0.75
Answer:
n=0.75
Step-by-step explanation:
Use the side-splitter theorem to solve for x in the triangle below.
Charlene is a writer going on a trip. She is bringing several copies of her latest book in her suitcase. The suitcase itself weighs 5 pounds, and each book weighs 3 pounds. Her full suitcase can weigh no more than 50 pounds. Explain and defend if Charlene will be allowed to bring 20 books with her. Write an equation or inequality to represent the problem situation.
Answer:
The answer is 5 + 3x ≤ 50
Step-by-step explanation:
5 + 3x ≤ 50 - 5
3x ≤ 45
Divide by 3, x = 15
convert the following into percentage. 1)2.98. 2)7/36. 3)3is to 4/5. d)7.35.
help me pls !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
for part A the answer is B and for part B I think the answer is B too.
From 20 to 30 students Percent increase
Consider the differential equation dy/dx = xy. Let y = f(x) be the function that satisfies the differential equation with initial condition f(1) = 1. Use Euler's Method, starting at x = 1 with a step size of .1, to approximate f(1.2).
Answer:
[tex]f(1.2)=1.221[/tex]
Step-by-step explanation:
From the question we are told that
[tex]dy/dx = xy[/tex]
Initial condition[tex]f(1) = 1.[/tex]
[tex]x = 1[/tex]
[tex]Step\ Size\ of\ 0.1[/tex]
Generally equation for [tex]y_1[/tex] is given mathematically as
[tex]f_0=F(1,1)=1[/tex]
Therefore
[tex]y_1=y_0+hf_0[/tex]
[tex]y_1=y_0+(0.1)(1)[/tex]
[tex]y_1=1.1[/tex]
Generally the approximation of the solution is mathematically given by
[tex]x=1+h\\x=1+0.1\\x=1.1[/tex]
[tex]y=1.1[/tex]
Generally the [tex]f_1[/tex] is mathematically given by
[tex]F_1=f(1.1,1.1)\\F_1=1.21[/tex]
Generally the [tex]y_2[/tex] is mathematically given by
[tex]y_2=y_1+hf_1\\y_2=1.1+0.121\\y_2=1.221[/tex]
Generally the approximation to the solution
at
[tex]y_2=1.221[/tex]
[tex]x_2=1.1+0.1\\x_2=1.2[/tex]
Therefore
[tex]f(1.2)=1.221[/tex]
The price of gasoline is $3.15 the price when Ryan's mother start drawing was 4/7 of the current price what was the price of the gasoline when Ryan's mother start driving
Answer:
$3
Step-by-step explanation:
MARKING PEOPLE AS BRIANLIST
What type of triangle is this?
Answer:
i think thats an obtuse triangle
Step-by-step explanation:
Answer: its an obtuse triangle
Step-by-step explanation:
(-1) 1001 integers .solve this
Answer:
-1
Step-by-step explanation:
(-1)^1001
= (-1)^1000 * (-1)^1
Since -1 raise to the power of an even number gives a positive value, then;
(-1)^1000 = 1
(-1)^1000 * (-1)^1 = 1 * -1
(-1)^1000 * (-1)^1 = -1
Hence (-1)^1001 = -1
Solve for u. 11u - 9u = 8
Answer:
u = 4
Step-by-step explanation:
2u = 8
u= 8/2
u= 4
therefore u = 4
8 = a -2
What does a equal
Answer:
a = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
8 = a - 2
Step 2: Solve for a
Add 2 on both sides: 10 = aRewrite: a = 10Step 3: Check
Plug in a into the original equation to verify it's a solution.
Substitute in a: 8 = 10 - 2Subtract: 8 = 8Here we see that 8 does indeed equal 8.
∴ a = 10 is the solution to the equation.
Which equation is a linear function?
y= 22 +7
y = 22 - 1
y= Ź - 5
y= 1 +
Answer:
y=22-1
Step-by-step explanation:
ewaan di ako sure
Let's say we have a box with 6 marbles: 3 red, 1 blue, 1 green, and 1 yellow. What is the probability of picking a yellow marble, returning it to the box, and then picking a blue marble?
A) 1/12
B)1/30
C)1/36
D)1/11
A company receives different types of objects and typically receives 75 new objects on average each month. The company currently has 210
objects in stock, which have a variety of properties. Write
an algebraic equation that describes the relationship between the number of
additional months the company receives objects (m) and the total number of objects in the company (t).
Fill in the blank for
Answer: t= 75m+210
Step-by-step explanation:
Linear equation: y= nx+c
, where n =rate of change of y with respect to x, c= initial value of y
Let m= number of additional months the company receives objects .
t =total number of objects in the company.
Given: Number of objects received per month = 75. (Rate of change of t w.r.t. m)
Current number of objects = 210 (Initial value)
Then, t= 75m+210
Hence, the required algebraic equation: t= 75m+210
Ms. Oliver's class is making pillow cases. Each pillow case uses 3/4 of a yard of fabric. How many pillow cases can they make out of 12 1/2 yards of fabric?
PLEASE HELP making brainiiest if correct
Answer:
The Right answer is ASA.
what is x and y if x + y = 115
Answer:
57.5
Step-by-step explanation:
That's the answer I think because very limited information so I just divide 115 by 2
Answer:
{55,60}
Step-by-step explanation:
{x,y} = {55,60}
There are 178 more bikers than hikers if there are 676 people in the park total how many people are hikers?
Answer:
The total number of hikers are 427
Step-by-step explanation:
Let:
The number of bikers = x
The number of hikers = y
There are 178 more bikers than hikers
y = x + 178
if there are 676 people in the park total how many people are hikers?
Hence:
x + y = 676
we substitute x + 178 for y
x + x + 178 = 676
2x + 178 = 676
2x = 676 - 178
2x = 498
x = 498/2
x = 249
y =x + 178
y = 249 + 178
y = 427
Therefore:
The number of bikers = x = 249
The number of hikers = y = 427
The total number of hikers are 427
2 Which of the following is the equation of the straight line with slope of 2 and with the same y-
intercept as that of the line represented by the equation y = 4x - 2?
F
1
y = 2x +
G
1
y = 4x -
2
Hy = 4x + 2
Jy = 2x - 2
Answer:
y = 2x-2
Step-by-step explanation:
Generally, we have the equation of a straight line as;
y = mx + b
where m is the slope and b is the y-intercept
For the second equation, we can see that the y-intercept value is -2
So using the slope 2, we write the complete equation as;
y = 2x - 2
What is the sum of 12 – 5i and –3 + 4i?
A. –16 + 63i
B. 9 – i
C. 9 – 9i
D. 15 – 9i
Answer:
B. 9 - i
Step-by-step explanation:
Combine the real and imaginary parts in numbers 12 - 5i and -3 + 4i
(12 + 5i) + (-3 + 4i)
12 - 3 + (-5 + 4)i
Add 12 to -3. Add -5 to 4.
9 + (-i)
9 - i
Find the volume of a cube that has a side length of:
6x²y5
Answer:
Are this form 1 question
Answer:
V= a³
V=(6x²y⁵)³
V= 216x⁶y¹⁵
Step-by-step explanation:
