9514 1404 393
Answer:
19
Step-by-step explanation:
The prime factorization of 4221462 is ...
4221462 = 2·3·7·100511
so, the 1-digit divisors are ...
1, 2, 3, 6, 7
The total of these numbers is 19.
Pls I need help
Given h(x) = -2x + 4, solve for a when h(2)
= -
- 8.
Answer:
x = 6
Step-by-step explanation:
A company has two machines MI and M2. MI produces 60% of its product and M2 produces 40% of its product. M1 produces 5% defective units and M2 produces 4% defective units. A unit is selected at random from the whole product. A) Find the probability that it is defective. B) What is the probability that it was manufactured by machine M2
Step-by-step explanation:
Consider the problem
Let, E 1 and E 2
be the respective events of items produced by machine A and B.
And let x be the event that the produced item was found to be defective.
Therefore,
Probability of items produced by machine A,P (E 1)=60%= 53
Probability of items produced by machine B,P (E 2)=40%= 52
And,
Probability that machine A produced defective items, P( E 1 x)=2%= 1002
Probability that machine B produced defective items, P( E 2 x)=1%= 1001
So, the probability that randomly selected items was from machine A is given by P( x E 1)
Now, Apply Bayes' Theorem
P( x E 1)= P(E 1)P( E 1x )+P(E 2)P( E 2x)P(E 1)P( E 1x)= 52× 1001 + 5
3× 1002
53× 100
2= 2+5
6= 11
6
Hence, the required probability of machine A is
11
6
The required answers are,
A.) The probability that the unit is defective is 0.046
B.) The probability that it was manufactured by machine M2 is 0.4
What is probability?Probability is the extent to which an event is likely to occur, measured by the ratio of the favorable cases to the whole number of cases.
Now given that,
Product produced by machine M1 = 60%
⇒ P(M1) = 60% = 0.6
Defective units = 5%
⇒ P(D1) = 5% = 0.05
Product produced by machine M2 = 40%
⇒ P(M2) = 40% = 0.4
Defective units = 4%
⇒ P(D2) = 4% = 0.04
Now, a unit is selected at random from the whole product
So, probability that it is defective is given as,
P(D) = P(D|M1) * P(D1) + P(D|M2) * P(D2)
⇒ P(M1|M2) = (0.6 X 0.05) + (0.4 X 0.04)
⇒ P(M1|M2) = 0.03 + 0.016
⇒ P(M1|M2) = 0.046
And probability that it was produced on the first machine(M2).
P(M2|D1) = P(M2∩D1) / P(D1)
⇒ P(M2|D) = (0.4 X 0.04)/0.04
⇒ P(M2|D) = 0.016 / 0.04
⇒ P(M2|D) = 0.4
Thus, the required answers are,
A.) The probability that the unit is defective is 0.046
B.) The probability that it was manufactured by machine M2 is 0.4
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) If the warranty guarantees the dishwasher will last at least 14 years or your money back, what is the probability that the company will have to refund money to a customer
Using the normal distribution, it is found that there is a 0.6406 = 64.06% probability that the company will have to refund money to a customer.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.Researching the problem on the internet, it is found that the mean and the standard deviation are, respectively, given by [tex]\mu = 13[/tex] and [tex]\sigma = 2.75[/tex].
The probability it lasts less than 14 years is the p-value of Z when X = 14, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{14 - 13}{2.75}[/tex]
[tex]Z = 0.36[/tex]
[tex]Z = 0.36[/tex] has a p-value of 0.6406.
0.6406 = 64.06% probability that the company will have to refund money to a customer.
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Brainnless mathhhh help me and thanks
Answer:
I think it is B
Step-by-step explanation:
srry if it turns out to be wrong tho
Answer:
A
Step-by-step explanation:
Wording it differently however it is most likely A since there are 4 boxes of 6 and wording them like the equations to get 6 times as many as 4 since there are 6 in 4 boxes.
Decrease 400 ml by 3/4
Answer:
100
Step-by-step explanation:
3/4 is a quarter
1/4 of 400 is 100 seeing as 100x4 is 400.
A water pitcher contains 2/3 gallons of water you add 5/7 gallons of water to the picture how much water to the picture contain right the answer in simplest form
x f(x)
0 1
2 3
3 4
4 5
5 6
6 7
Which function matches the table?
A)
f(x) = x + 1
B)
f(x) = 1
o
f(x) = x2
D)
f(x) = x - 1
f(x) = x+1
as
f(0) = 0+1 = 1
f(2) = 2+1 = 3
f(3) = 3+1 = 4
and so on
Select all of the statements that are true for the given parabola. A. The minimum is (-1, 6)
B. The line of symmetry is x = -1
C. The x-intercepts are (0, 1) and (0, -3)
D. The maximum is (-1, 6)
Answer:
b AND d
Step-by-step explanation:
trust me ON this one
Answer:
B and D is correct
Step-by-step explanation:
11x - 3x + 96 = 11x + 48
Answer:
x=16
Step-by-step explanation:
h(a) = a² + 1
g(a) = 2a + 4
Find h(g(8))
[tex]g(a) = 2a + 4[/tex]
[tex]g(8) = 2(8) + 4 = 20[/tex]
_________________________________
[tex]h(a) = {a}^{2} + 1 [/tex]
[tex]h(g(8)) = h(20) = {20}^{2} + 1 = 401 \\ [/tex]
Done...♥️♥️♥️♥️♥️
In which number does the 5 represent a value 10 times the represented by the 5 in 35,187. A 117,568. B 247,351 C 325,827. D 453,362
Answer:
The answer is D
Step-by-step explanation:
Given : Number 35,187.
To find : In which number does the 5 represent a value 10 times the value represented by the 5 in number ?
Solution :
According to place value system,
Ten Thousand Thousand Hundred Tens Ones
3 5 1 8 7
The 5 value is at thousand.
A value 10 times the value represented by the 5 in 35,187 is given by any number placed in ten thousand place.
Therefore, The answer is D
Answer:
"B"
Step-by-step explanation:
The "5" Starts at the place of the "1" and
moves up by one because the "0" in the 10 to make
"B"'s Answer.
Let me know if you elaboration!
Which of the following is an equation of the line tangent to the graph of x^2 - 3xy = 10 at the point (1, -3)?
Answer:
Step-by-step explanation:
slope = m = y'
x² - 3xy = 10
2x - 3y - 3xy' = 0
at (1, -3)
2(1) - 3(-3) - 3(1)y' = 0
2 + 9 = 3y'
y' = 11/3
equation of tangent:
y = -3 + (11/3) (x - 1) = 11x/3 - 20/3
Which statement is true about figures ABCD and A’B’C’D’?
Answer:
there is no figures could you please um take picture so we can help
Identify The slope and y-intercept Of the equation Y= -8
to get the equation of any straight line we simply need two points off of it, hmmm let's use the points in the picture below.
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-8}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{(-1)}}}\implies \cfrac{-8+8}{5+1}\implies \cfrac{0}{6}\implies 0[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{0}(x-\stackrel{x_1}{(-1)}) \implies y+8=0(x+1) \\\\\\ y+8=0x+0\implies y=\stackrel{m}{0} x\underset{b}{-8}\impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
Without multiplying, order the following products from least to greatest.
2x3/5. 1/4x 3/5. 1 2/5x 3/5. 6/6x 3/5.
Please help, Thank you.
Answer:
6/6 x 3/5, 1/4 x 3/5, 1 2/5 x 3/5, 2 x 3/5
Hope this helps
Step-by-step explanation:
What is the slope of the line y = 3?
Answer:
m = 0
Step-by-step explanation:
Using the slope intercept form. The slop is 0
Answer: m = 0
Explanation: The equation y = 3 can be thought of as y = 0x + 3.
So our line has a slope of 0 and a y-intercept of 3.
When the equation of any line reads "y = a number",
it's graph will always be a flat or horizontal line.
Whenever we have a horizontal line, the slope is always 0
The quadratic function: [tex]y=-x^2-8x+1[/tex] has an axis of symmetry of [tex]x=-4[/tex]. Which of the following represents the range of the function?
1) [17, ♾️)
2) (-♾️,17]
3) (-♾️,-4]
4) [-4,♾️)
Answer:
2) (-∞, 17]
Step-by-step explanation:
The leading coefficient of the function is negative, so the parabola opens downward. The vertex will be a maximum, the upper end of the range. The lower end of the range will be -∞.
The vertex of the function lies on the axis of symmetry. The maximum can be found by evaluating the function at x=-4.
y = -(-4)² -8(-4) +1 = -16 +32 +1 = 17
The range of the function is (-∞, 17].
. It cost Sophia $530 to make wind chimes. How many wind
chimes must she sell at $12 apiece to make a profit?
Answer:
45
Step-by-step explanation:
530 use division 12 equals ,44.166 so round up
Simplify 32x3⎯⎯⎯⎯⎯⎯⎯⎯√ ·6x3⎯⎯⎯⎯⎯⎯√
A.
6x23x⎯⎯⎯⎯√
B.
16x3
C.
8x33⎯⎯
D.
6x33⎯⎯
Answer:
The answer is: √63=√32⋅7=√32⋅√7=3√7 .
Step-by-step explanation:
What number is 175% of 56
Answer:
Your correct answer is 32.
Step-by-step explanation:
175 percent (calculated percentage %) of what number equals 56?
Answer: 32
A number 98 is 175 percent of 56.
We have to given that,
To find a number which is 175% of 56.
Let us assume that,
A number which is 175% of 56 is, x
Hence, We can write as,
x = 175% of 56
x = 175/100 × 56
x = 1.75 × 56
x = 98
Therefore, The solution is, 98
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Jo’s rectangular dining room is 8 feet wide and 3 feet long. Mike wants to install a new wood floor and new base boards. It will cost $10.00 per square foot for the new flooring.
a. How many square feet of flooring does Jo need to purchase? SHOW YOUR WORK
b. Use the information from part a to answer, how much will it cost Jo for the new flooring?
SHOW YOUR WORK
Answer:
it is 48
Step-by-step explanation:
the reason it is 48 is because the length is 6 feet and it is 8 wide so 8x6=48
and it would be 480.00$
Simplify the expression.
6(12-3) + 4 + (3 x 2)
Answer:
64
Step-by-step explanation:
72-18+4+6=64
Answer:
64
Step-by-step explanation:
The length of a rectangle is three times the width. The perimeter is 96 cm. Find the length and width of the rectangle.
Answer:
Length = 36cm
Width = 12 cm
Step-by-step explanation:
Perimeter = all the sides added up.
Perimeter of a rectangle = L + L + W + W OR 2L + 2W
We are given that the length = 3 times the width. So L = 3W
P = 2L + 2W
96 = 2 (3W) + 2W
96 = 6W +2W
96 = 8W (divide both sides by 8)
W = 12 cm
To find the length- we know the length is 3 times the width.
So L = 3 x 12 = 36 cm
Find a polynomial function of degree 3 with real coefficients that has the given zeros.
- 2, 3, -4
Polynomial functions' standard form is f(x)=ax^n+bx^n-1...+k
However, polynomials can also be written in intercept form
f(x)=(x-x1)(x-x2)(x-x3)...(x-xn) for roots/zeros x1,x2,x3,...,xn
With the three numbers that you have -2, 3, -4 you can write function
f(x)=(x-(-2))(x-3)(x-(-4))
Then you can simplify and distribute
f(x)=(x+2)(x-3)(x+4)
f(x)=(x^2-x-6)(x+4)
f(x)=x^3+3x^2-10x-24
Which would be the answer
I just need help with #1
Answer:
65 degrees
Step-by-step explanation:
Since the two straight lines are parallel, this means that Angle 1 and the 65 degrees angle are alternate interior angles; meaning that they're congruent.
So:
Angle 1 = 65 degrees
Hope this helps!
Please let me know if I'm incorrect :)
Answer:
The answer is 65 (degree symbol here)
Step-by-step explanation:
two interior angles on the inside of this shape will always be the same
HELPPPPP ON MATHHHHH ASAPPPPPPP
Answer:
the answer is 4
Answer:
x=4
Step-by-step explanation:
7x-15+2x=4x+10-5
9x-15=4x+10-5
9x-15=4x+5
5x-15=5
5x=20
x=20÷5
x=4
Hope this helps! :)
Which statement is true about the relationship between the amount of plant food remaining and the number of days? This relationship is a function because more than one amount of plant food remains each day. O This relationship is not a function because only one amount of plant food remains each day. O This relationship is not a function because more than one amount of plant food remains each day. O This relationship is a function because only one amount of plant food remains each day.
Plant food is indeed dung or a mix of nitrates that are also given to soil to make it fruitful. Plant fertilizers are available in a variety of formats in the market, including water-soluble plant fertilizer, sustained-release crop fertilizer, and many others. Natural organic food is the best option for fertilizing.
Feeding the plants on a normal basis ensures optimum growth, the production of attractive blossoms and fruit, and the developing resistance to harsh weather and disease.As only one amount of plant-based foods remains every day, this connection is not a function. This statement is about the connection between the group of plant food left and the length of stay.Therefore, the final answer is "2nd Choice".
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Given that the federal and state biweekly deductions for a single person making $1,300 with zero withholding allowances working in New York are $174 and $54.70 respectively, determine the net biweekly income. a. $1053.08 c. $1071.30 b. $1067.11 d. $1079.13 Please select the best answer from the choices provided A B C D
Answer: C. $1071.30
Step-by-step explanation:
I got this answer by subtracting $174 and $54.70 because those are the federal and state biweekly deductions from her income of $1300.
Answer:
C
Step-by-step explanation:
Just took the quiz and got this right.
List all of the different natural numbers that each leave a remainder of 2 when divided into 83
Answer:
1, 3, 9, 27, 81
Step-by-step explanation:
A remainder of 2 indicated that the multiplication of any factors will be two less than 83.
Step 1: 83-2=81
Step 2: Find all factors of 81
1, 3, 9, 27, 81
All the different natural numbers are;
⇒ 3, 6, 9, 81
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
All the different natural numbers that each leave a remainder of 2 when divided into 83.
Since, The remainder is 2
So, The value of number = 83 - 2
= 81
Now, All the factors of 81 are,
⇒ 3, 6, 9, 81
Thus, All the natural number which divides the 83 and leave the remainder 2 are,
⇒ 3, 6, 9, 81
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Divide the difference of 18 and 3 by the sum of
1 and 2.
Answer:
5
Step-by-step explanation:
1. 18-3=15
2. 1+2=3
3. 15÷3=5
Always remember to bear in mind your mathematic vocabulary.