Answer: 0.001
Step-by-step explanation:
Given
The lock has 3 dials, each with the number 0 through 9.
The first place can be filled in 10 ways and the probability of selecting number '4' out of the 10 is [tex]\frac{1}{10}[/tex]
Similarly for selecting '3' and '9' is also [tex]\frac{1}{10}[/tex]
Therefore the probability of getting a combination of 4-3-9 is
[tex]\Rightarrow P=\dfrac{1}{10}\times \dfrac{1}{10}\times\dfrac{1}{10}\\\\\Rightarrow P=\dfrac{1}{1000}\\\\\Rightarrow P=0.001[/tex]
smallest number to be subtracted from 32 to make it a perfect cube
Answer:
2
Step-by-step explanation:
Answer:
2 is the smallest number
its math algebra 1 i need help
Answer:
The 3rd one which is C
Step-by-step explanation:
It's the 3rd one because if you look at the orange like where the 2 and the 4 is you will see the orange line is between them two which that's where the 3 will go and the others don't have that, so it C hope this helps you!
need help ace plsss
Answer:
ITS 32 m^3
Step-by-step explanation:
Option C
just trust me homie... :)
Answer:
C. 32 m cube
hope this helps
have a good day :)
step-by-step explanation:
In
group of 100 persons, 72 people can speak
English and 43 can speak French. How many
can speak English Only, How many can speak
French Only and how many can speak both English and French
Step-by-step explanation:
Let A be the set of people who speak English.
B be the set of people who speak French.
A - B be the set of people who speak English and not French.
B - A be the set of people who speak French and not English.
A ∩ B be the set of people who speak both French and English.
Given
n(A) = 72 n(B) = 43 n(A ∪ B) = 100
Now, n(A ∩ B) = n(A) + n(B) - n(A ∪ B)
= 72 + 43 - 100
= 72 + 43 - 100
= 115 - 100
= 15
Therefore, Number of persons who speak both French and English
= 15
n(A) = n(A - B) + n(A ∩ B)
⇒ n(A - B) = n(A) - n(A ∩ B)
= 72 - 15
= 57
and n(B - A) = n(B) - n(A ∩ B)
= 43 - 15 = 28
Therefore, Number of people speaking English only = 57
Number of people speaking French only = 28
Let A be the set of people who speak English.
B be the set of people who speak French.
A - B be the set of people who speak English and not French.
B - A be the set of people who speak French and not English.
A ∩ B be the set of people who speak both French and English.
Given
n(A) = 72 n(B) = 43 n(A ∪ B) = 100
Now, n(A ∩ B) = n(A) + n(B) - n(A ∪ B)
= 72 + 43 - 100
= 72 + 43 - 100
= 115 - 100
= 15
Therefore, Number of persons who speak both French and English
= 15
n(A) = n(A - B) + n(A ∩ B)
⇒ n(A - B) = n(A) - n(A ∩ B)
= 72 - 15
= 57
and n(B - A) = n(B) - n(A ∩ B)
= 43 - 15 = 28
im not sure if its right but- q-q
what number goes into the missing space
Answer:
12
Step-by-step explanation:
mrk me brainliest plzzzzzzzzzz
Answer:
b) 12
Step-by-step explanation:
The first image shows the top 2 numbers as 5 and 2 = 5 * 2
=> 10
The Second image shows the top 2 numbers as 3 and 3 = 3 * 3
=> 9
So, the third image shows the top 2 numbers as 2 and 6 = 2 * 6
=>12
Therefore, the missing space in the third circle is b) 12
Hope it helps :)
Tiara, a quality assurance inspector at a chocolate factory, checks for product quality using a random sample of 18 pieces of chocolate from a batch of 60, wity 17 white chocolate and 43 dark chocolates. Let p be the proportion of white chocolates in the sample. Part A: Is the 10% condition met in thjs case? Justify your answer. Part B: Is the Normal condition met in this case? Justify your answer.
Answer:
Part A
The 10% rule is not met
Part B
The normal condition is not met
Step-by-step explanation:
The given data of the pieces of chocolate are;
The number of chocolates in the sample, n = 18
The number of white chocolate in the batch = 17
The number of dark chocolates in the batch = 43
Given that [tex]\hat p[/tex] is the proportion of white chocolates in the sample, we have;
The proportion of white chocolates in the batch, p = 17/60 = 0.28[tex]\overline 3[/tex]
Part A
The 10% condition states that the size of the sample should be less than or equal to 10% of the population because taking samples without replacing them does not result in independent Bernoulli trials
The given sample size, n = 18, which is 18/60×100 = 30% > 10% of the batch, therefore, the 10% rule is not met in the present situation
Part B
The normal approximation can be assumed when we have;
n·p > 10 and n·p·(1 - p) > 10
By plugging in the values for 'n' and 'p', we have;
p = 0.28[tex]\overline 3[/tex] = 17/60
n·p = 18 × 17/60 = 5.1 < 10
n·p·(1 - p) = 18 × 17/60 × (1 - 17/60) = 3.655 < 10
Therefore the normal condition is not met.
What is the common ratio?
5, -10, 20, -40, 80
What is the 15th term of the sequence?
Step-by-step explanation:
Use the above formula
-5 is the difference between the numbers..
hope you understood..
Tonya has a rectangular rug as shown. The rug is 4 feet longer than it is wide. (Part A) Create an expression that can be used to determine the length and the width of the rug. Write your answers in terms of x .
Answer: [tex]x(x+4)[/tex]
Step-by-step explanation:
Given
The rug is 4 feet longer than its width
Suppose the length of the width is x
Length is given by x+4
So, the product of length and width is equal to the area of the rug
[tex]\Rightarrow x\left(x+4\right)=A\quad\quad [\text{A=Area of rug}][/tex]
6. Find both solutions by factoring
): 3x^2 + 10x + 7 = 0
HELPP
Simplify: (x^3y^-3/ x^2y) ^-3
Answer:
A i the answer
Step-by-step explanation:
f(x)=∣x∣
g(x)=∣x−1∣+9
We can think of g as a translated (shifted) version of f
Complete the description of the transformation.
Answer:
Step-by-step explanation:
There are two transformations, one vertical, one horizontal.
The + 9 part outside the absolute value sign moves the graph up 9 units.
Replacing x with x - 1 moves the graph right 1 unit.
Comment: The horizontal shifts sometimes appear backwards: x - 1 looks like a shift to the left, but it's not.
Example: f(4) = |4| = 4. To get the same output (4) from g(x), you have to use a value for x that is 1 unit larger than 4. g(5) = |5 - 1| = 4.
Divide 750 into the ratio 2:3
Answer:
300 : 450
Step-by-step explanation:
sum the parts of the ratio, 2 + 3 = 5 parts
Divide 750 by 5 to find the value of one part of the ratio
750 ÷ 5 = 150 ← value of 1 part of the ratio , then
2 parts = 2 × 150 = 300
3 parts = 3 × 150 = 450
Then 750 in the ratio 2 : 3 = 300 : 450
The required answer is 750 in the ratio 2 : 3 = 300 : 450.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
We have to divide 750 into the ratio 2:3
The ratio is given in the question
⇒ 2:3
We can see that the sum of the parts of the given ratio as
⇒ 2 + 3 = 5 parts
Divide 750 by 5 to determine the value of one part of the ratio
So the value of 1st part of the ratio
⇒ 750 ÷ 5 = 150
Now, 2nd parts = 2 × 150 = 300
And, 3rd parts = 3 × 150 = 450
So, 750 in the ratio 2 : 3 = 300 : 450
Therefore, the required answer is 750 in the ratio 2 : 3 = 300 : 450.
To learn more about the Ratio click here:
brainly.com/question/1504221
#SPJ2
. What are the two factors of 3x^2+
13x + 14
Answer: im pretty sure it is 3x and 13x
Step-by-step explanation:
pls mark brainlest
Simplest form
X^3-X^2+16x-16
Answer:
x = − 1 , − 4 , 4
Step-by-step explanation:
Brainiest please and thank you
PLEASE HELP
WILL GIVE BRAINLIEST!!!
Answer:
12/25
Step-by-step explanation:
The problem tells us that we need to use 25 equally sized stones to make a 12 feet long path. As the stones must be equally sized, you have to divide 12 by 25 to distribute the feet length equally. Therefore, 12 divided by 25 is just rewritten as 12/25 feet long.
Triangle ABC has side lengths a=74.1, b= 60.8, c=114.2. What is the measure of angle C?
a. 35.9°
b. 28.8°
c. 96.4°
d. 115.3°
Given:
In triangle ABC, a=74.1, b= 60.8, c=114.2.
To find:
The measure of angle C.
Solution:
According to the Law of cosine:
[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]
Substituting [tex]a=74.1,b= 60.8,c=114.2[/tex], we get
[tex]\cos C=\dfrac{(74.1)^2+(60.8)^2-(114.2)^2}{2(74.1)(60.8)}[/tex]
[tex]\cos C=\dfrac{5490.81+3696.64-13041.64}{9010.56}[/tex]
[tex]\cos C=\dfrac{-3854.19}{9010.56}[/tex]
[tex]\cos C=-0.42774145[/tex]
Taking cos inverse on both sides, we get
[tex]C=\cos^{-1}{-0.42774145}[/tex]
[tex]C=115.324312[/tex]
[tex]C=115.3^\circ[/tex]
Therefore, the correct option is d.
AREA OF CIRCLES PLS HELPP
Answer:
r = 3 ft
Step-by-step explanation:
A = πr²
9π = πr²
9π/π = r²
9 = r²
√9 = r
3 = r
Hope this helps!
The graph below shows the equation y=2x+4
2
In the space below, describe the effect on this graph if the equation were changed to y=3x+4
Answer:
C. the lines will be intersecting but neither parallel nor perpendicular
Step-by-step explanation:
changing the x coeficient means you're changing the gradien/ slope. so it will intersecting in one point of y if the x = 0
y = 2x + 4
y = 2(0) + 4 = 4
y = 3x + 4
y = 3(0) + 4 = 4
Answer:
Step-by-step explanation:
If you type this equation onto the graphing calculator you can clearly tell the lines intersect therefore the right answer is the last one.
If f(x) = x2 - x, what is f(-3)?
Answer:
Step-by-step explanation:
Putting value of x = - 3 in the equation
f(x) = x2 - x
f(-3) = (-3)^2 - (-3)
= - 9 + 3
= - 6
alright hear me out... why is the word dictionary in the dictionary? ಠ_ಠ
cause a dictionary contains all known words including dictionary..my turn!.look in the comments!
Find the sum of the given geometric series: n = 8, r = 3, a = 1/2
Answer:
a⁸=112 is the answer.
Step-by-step explanation:
a⁸=32(1/2)⁷
a⁸=32(7/2)
a⁸=112
C= 7h+125 The Equation above keeps the amount CN dollars an electrician charges for a job it takes eight hours Miss Sanchez and Mr. Online each hired this electrician the electrician worked two hours longer on the Sanchez job then on Mr. Ronald trump how many more did the electrician charge Miss Sanchez than Mr.Roland and
Answer:
$14
Step-by-step explanation:
The total amount, C charged by an electrician for h hours of work is ;
C= 7h+125
If the electrician spends 2 more hours on Sanchez job than Ronald, then the amount Mrs Sanchez paid more than Ronald can be obtained thus:
From the equation :
C= 7h+125
The slope relation with number of hours worked gives the change in amount paid for differebt work hours. Since the intercept is constant, we ignore its value in this exercise.
For 2 more hours of work :
Additional amount = 7h ; h = 2
7h = 7 * 2 = 14
Hence, Mrs Sanchez pays $14 more.
which value is not equivalent to the other's
Answer:
The one that is not equivalent to the others is:
2 + 2 + 2 + 2 + 2
Step-by-step explanation:
this is because all of the other ones are equal to 32. This one equals to 10.
Tanesha is mixing paint. She mixes 250 ml of white paint with 750 ml of red paint and 1200 ml of yellow paint. Work out the ratio of white to red to yellow paint. Write the answer in its simplest form
Answer: [tex]5:15:24[/tex]
Step-by-step explanation:
Given
Tanesha mixes 250 ml white, 750 ml red, and 1200 ml yellow paint
So, the ratio of white, red, and yellow paint is
[tex]\Rightarrow 250:750:1200\quad [\text{cancel by 25}]\\\Rightarrow 10:30:48\quad \text{[cancel by 2]}\\\Rightarrow 5:15:24[/tex]
The ratio of three paints is [tex]5:15:24[/tex].
I need help with math
Answer:
Its the second one
Step-by-step explanation:
Brenna is constructing a circle inscribed in a triangle. She has partially completed the construction, as shown below. What should be her next step in the construction?
Connect vertex B to the arc marking to complete the angle bisector
Find the angle bisectors for angles A and B
Connect three arc markings together to form the triangle
Use the incenter to determine the center to construct the circle
The construction is missing, so i have attached it.
Answer:
Use the incenter to determine the center to construct the circle.
Step-by-step explanation:
From the attached image, we can see that the 3 bisector of the three interior angles in the triangle intersect at a point. This point is known as the incentre of the triangle.
Now, to draw an inscribed circle inside the triangle, we will draw a perpendicular line from the incentre to any of the 3 sides and we will use the incentre as centre to draw the circle to touch each of the 3 perpendicular points.
Help me please I need it
Step-by-step explanation:
see the photo for explanation
Answer:
We are finding hypotenuse
3^2 + 2.5^2
9 + 6.25 = 15.25
3.9^2 = 15.21 close enough.
3.9 would be your answer.
When finding the hypotenuse, we square the two given lengths add them up and then that number you get from adding them up, there should be a number that will be squared that will equal that number that you added up.
Help please ASAP thank you!!
And no links please no linksss!!
Given:
The dimensions of the square photo are 12'' × 12''.
The frame is 2 inches wider than the photo in both length and width.
To find:
The perimeter of the frame.
Solution:
We have,
Length of the photo = 12 inches
Width of the photo = 12 inches
The frame is 2 inches wider than the photo in both length and width. So,
Length of the frame = 12+2 inches
= 14 inches
Width of the frame = 12 inches
= 14 inches
The perimeter of a square is:
[tex]P=4a[/tex]
Where, a is the side length.
Now, the perimeter of the square frame with side 14 inches is:
[tex]P=4(14)[/tex]
[tex]P=56[/tex]
Therefore, the perimeter of the square frame is 56 inches, Hence, option A is correct.
please help on a test!!!
Solve the system using inverse
matrices.
5x – 4y = 3
(2x + 3y = 38
Answer:(7, 8)
Step-by-step explanation:
Maria wants to huy some coffe mugs and plastic plates. The total cost of five coffe mugs and four plastic olayed is $28 and tge total cost of two coffe mugs and two plastic olates is $12 Write a system of equations and ise it to determine the cost of one coffe mug
Answer:
$4
Step-by-step explanation:
5c + 4p=28 equation 1
2c + 2p=12 equation 2
-2(2c +2p)=-2(12) multiply equation 2 by -2 so you can solve by elimination.
-4c-4p=-24 equation 2 multiplied by -2
5c+4p=28. Equation 1
c=4 added above 2 equations
solve for plates:
2c + 2p=12
2(4)+ 2p=12
8+2p=12
2p=4
p=2
check answer:
5c+4p=28. Equation 1
5(4)+4(2)=28
20+8=28
28=28