Answer:
[tex]P = 0.1447[/tex]
Step-by-step explanation:
Given
[tex]n = 7000[/tex] -- total
[tex]d = 180[/tex] --- defective
[tex]r = 6[/tex] --- selected
Required
The probability of rejecting the batch
This means that at least one of the selected piece is defected.
So, we first calculate the probability that all the selected piece are accepted.
So, we have:
[tex]Pr = \frac{7000 - 180}{7000} * \frac{6999 - 180}{6999}* \frac{6998 - 180}{6998}* \frac{6997 - 180}{6997}* \frac{6996 - 180}{6996}* \frac{6995 - 180}{6995}[/tex]
The denominator decreases by 1 because it is a probability without replacement; 180 is subtracted from the numerator to represent the number of non-defective CDs
So, we have:
[tex]Pr = \frac{6820}{7000} * \frac{6819}{6999}* \frac{6818}{6998}* \frac{6817}{6997}* \frac{6816}{6996}* \frac{6815}{6995}[/tex]
[tex]Pr = 0.8553[/tex]
Using the complement rule, the probability that the batch will be rejected is:
[tex]P = 1 - 0.8553[/tex]
[tex]P = 0.1447[/tex]
please answer this question!
Answer:
<A = 51
Step-by-step explanation:
Since AB = AC ( shown by the lines on the sides) we know that this is an isosceles triangle
Since the sides are the same, the base angles are the same
<A = <C
<C = 51 so <A = 51
subtract -5/6 from 1/3
Answer:
1 1/6
Step-by-step explanation:
1/3 - (-5/6)
Subtracting a negative is like adding
1/3 + 5/6
Get a common denominator of 6
1/3 *2/2 + 5/6
2/6 + 5/6
7/6
6/6 + 1/6
1 1/6
Answer: -1 1/6
Step-by-step explanation: -5/6 - 1/3 (2/2) -5/6 - 2/6 -7/6 -1 1/6
The temperature falls from 0 degrees to - 123 degrees in 3 hours. Which expression finds the change in
temperature per hour? ?
7 49
024
-
7 49
0 -24
49 7
0 -1
0
49 7
4 -
Answer:
D
Step-by-step explanation:
Change=Temperature/Time
Change=(-49/4)/(7/2)
Find the equation of the axis of symmetry and the coordinates of the vertex of the graph of y = 2x2 – 12x + 6.
Step-by-step explanation:
The real part (red) and imaginary part (blue) of the Riemann zeta function along the critical line Re(s) = 1/2. The first non-trivial zeros can be seen at Im(s) = ±14.135, ±21.022 and ±25.011. The Riemann hypothesis, a famous conjecture, says that all non-trivial zeros of the zeta function lie along the critical line.
s
SO, LAST IS CORRECT
?ARK ME AS BRAILIEST
URGENT HELP I REALY NEED AN EXPERT HERE
Hi
P and Q only intersect for 2 as 2 is common for P and Q . So P U Q = 2
For the diagram :
One big circle name U with 1 on the
Far corner left and 9 on the far right corner.
Then on the left, a circle within circle U with the number Of P
Same with Q on the right.
But P and Q must intersect on number 2 as 2 is in both circles.
ps : nothing oblidge you to set the number on mathematical order. Of it'esasier to do the circles, do it whatever you like as long as you respect what is said.
Round the number 553 to the tens place.
is it 550? because 3 is less than 5 so I replace it with a 0
Answer:
550
Step-by-step explanation:
To round 553 to the tens place, we would need to identify the value of the digit in the ones place.
If the digit in the ones place is greater than 5, we increase the tens place by 1 & convert the ones place into a 0.
If not, we leave the tens place as is & convert the ones place into a 0.
Since 3 is less than 5, we round 553 to 550 so you are correct.
Answer:
Yes
550 has 2 sig figs
553 has 3
Step-by-step explanation:
The graph represents the system of inequalities shown below. Determine whether the statement that follows the graph is true or false.
Answer:
false
Step-by-step explanation:
there is no graph...
Find measure of one exterior angle in each regular polygon
Answer:
Pentagon = 72°
Octagon = 45°
Step-by-step explanation:
To solve for the measure of one exterior angle in a regular pentagon;
n = number of sides
180 - (180 x n-2/n)
180 - (180 x 5-2/5)
180 - (180 x 3/5)
180 - (540/5)
180 - 108
Exterior angle = 72°
To solve for the measure of one exterior angle in a regular octagon;
n = number of sides
180 - (180 x n-2/n)
180 - (180 x 8-2/8)
180 - (180 x 6/8)
180 - (1080/8)
180 - 135
Exterior angle = 45°
What is the value of the discriminant of the quadratic equation -2x2=-8x+8, and what does its value mean about the number of real number solutions the equation has?
The discriminant is equal to 0, which means the equation has no real number solutions.
The discriminant is equal to 0, which means the equation has one real number solution.
The discriminant is equal to 128, which means the equation has no real number solutions.
The discriminant is equal to 128, which means the equation has two real number solutions.
B..The discriminant is equal to 0, which means equation has on real number solutions
The discriminant is equal to 0, which means the equation has one real number solution, option B is correct.
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The discriminant of a quadratic equation in standard form, ax² + bx + c = 0, is given by the expression b² - 4ac.
The given equation is -2x² = -8x+8
a = -2, b = 8, and c = -8.
Substituting these values into the formula for the discriminant, we get:
b² - 4ac = (8)² - 4(-2)(-8)
= 64 - 64
= 0
Therefore, the discriminant is equal to 0.
When the discriminant is equal to 0, it means that the quadratic equation has one real number solution (a double root) because the quadratic formula will give only one root.
Hence, the discriminant is equal to 0, the equation -2x² = -8x + 8 has one real number solution.
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Write an equation in point-slope form for the line through the given point with the given slope.
3
(4, -6); m =
Answer:
y+6 = 3(x-4)
Step-by-step explanation:
Point slope form is
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y - -6= 3(x - 4)
y+6 = 3(x-4)
If APQR = ASTU, complete each blank below with the appropriate length or measure.
Answer:
ST = 8 m
SU = 7 m
m∠Q = 75°
m∠S = 59°
m∠R = 46°
m∠U = 46°
Step-by-step explanation:
The given parameter are;
ΔPQR is congruent to ΔSTU
In ΔPQR, m∠P = 59°, PR = 8 m, PQ = 7 m
In ΔSTU, m∠T = 75°
By Side-Angle-Side rule of congruence, and given that m∠P ≠ m∠T, we can have;
m∠S ≅ m∠P, by Congruent Parts of Congruent Triangles are Congruent, CPCTC
ST ≅ PR, SU ≅ PQ, m∠Q ≅ m∠T, m∠U ≅ m∠R
Therefore;
ST = PR = 8 m
ST = 8 m
SU = PQ = 7 m
SU = 7 m
m∠Q = m∠T = 75°
m∠Q = 75°
m∠S = m∠P = 59°
m∠S = 59°
m∠U = m∠R = 180 - (75° + 59°) = 46°
m∠R = 46°
m∠U = 46°.
passes through (−3, 7) and is parallel to y = 4x − 1.
Answer:
Equation of the line is y = 4x + 19
Step-by-step explanation:
slope, m = 4
[tex]y = mx + c[/tex]
consider (-3, 7):
[tex]7 = (4 \times - 3) + c \\ 7 = - 12 + c \\ c = 19[/tex]
equation:
[tex]y = 4x + 19[/tex]
Answer:
y = 4x + 19
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 4x - 1 ← is in slope- intercept form
with slope m = 4
Parallel lines have equal slopes, then
y = 4x + c ← is the partial equation
To find c substitute (- 3, 7) into the partial equation
7 = - 12 + c ⇒ c = 7 + 12 = 19
y = 4x + 19 ← equation of parallel line
Which of the following are irrational numbers?
5
8.555...
N
1
Submit
Work it out
Not feeling ready yet? This can help:
Answer:
8.555.... is a irrationtional number .
Below are the ratings for a sample of 12 hotels in small Ontario towns:
1.1 4.7 4.8 4.8 5.3 6.5 6.7 7.1 7.1 7.3 8.1 9.2
The critical values of this data set are given:
Q1=4.8 Q2=6.6 Q3=7.2
a) Determine the following and show all work: [3 marks]
i) interquartile range (IQR)
ii) upper boundary and lower boundary
iii) any outlier(s)
b) Create a modified box plot for the data, showing any outlier(s). [1 mark]
c) In order for a hotel to be recommended by travel blog TravelWell, its score must be the 80th percentile or higher. What is the minimum rating a hotel can achieve in order to be recommended by TravelWell based on this sample? [2 marks]
Answer:
a)
i) Interquartile range is 2.4
ii) Upper boundary is 10.8
The Lower boundary is 1.2
iii) Outliers are points above the upper boundary or below the lower boundary
There is one outlier: 1.1
b) The modified boxplot with one outlier is given in the diagram.
c) The 80th percentile is
The minimum rating the hotel can get is 7.3
Step-by-step explanation:
a)
i) Interquartile range is
IQR = Q3-Q1 = 7.2-4.8 = 2.4
ii) Upper boundary = Q3+ 1.5 *IQR = 7.2+1.5*2.4 = 10.8
Lower boundary = Q1 - 1.5*IQR = 4.8- 1.5*2.4 = 1.2
iii) Outliers are points above the upper boundary or below the lower boundary
There is one outlier: 1.1
c) The 80th percentile is given by
n= 12
k = 0.80
Index is given by k*n =0.80*12 = 9.6
Round to nearest whole number, that is 10th
80th percentile is the 10th number (arranged in ascending order)
80th percentile = 7.3
The minimum rating the hotel can get is 7.3.
b) The modified boxplot with one outlier is given as follows,
The scale on a map of Virginia shows that 1 centimeter represents 30 miles. The actual distance from Richmond, VA to Washington, DC is 110 miles. On the map, how many centimeters are between the two cities? Plz someone answer
Answer:
3.667
Step-by-step explanation:
30 miles per cm means divide distance by 30 or
110/30 = 3.667
You have a bag which contains only red and green marbles. In this bag with $x^{2} 5$ marbles total, $x 1$ are red. Also, $x-3$ marbles have a scratch on them. The probability of drawing a red marble from the original bag is equal to that of drawing a marble with a scratch from the marbles left in the bag after twenty scratch-free marbles are taken out of the full bag. How many marbles were originally in the bag?
The original number of marbles in the bag is 30.
The given parameters are:
[tex]Red = x + 1[/tex]
[tex]Total = x^2 + 5[/tex]
The probability of red is:
[tex]P(Red) = \frac{Red}{Total}[/tex]
[tex]P(Red) = \frac{x+1}{x^2 + 5}[/tex]
When 20 marbles were removed, the marbles left are:
[tex]Marbles =Total - 20[/tex]
This gives:
[tex]Marbles =x^2 + 5 - 20[/tex]
[tex]Marbles =x^2 -15[/tex]
The probability of selecting a scratched marble at this point is:
[tex]P(Scratch) = \frac{Scratch}{Marbles}[/tex]
[tex]P(Scratch) = \frac{x -3}{x^2 - 15}[/tex]
This probability equals the probability of red.
i.e.
[tex]P(Red) = P(Scratch)[/tex]
So, we have:
[tex]\frac{x +1}{x^2 + 5} = \frac{x -3}{x^2 - 15}[/tex]
Cross multiply
[tex](x + 1)(x^2 - 15) = (x - 3)(x^2 + 5)[/tex]
Expand
[tex]x^3 - 15x + x^2 - 15 = x^3 + 5x - 3x^2 - 15[/tex]
Subtract [tex]x^3[/tex] from both sides
[tex]- 15x + x^2 - 15 = 5x - 3x^2 - 15[/tex]
Add 15 to both sides
[tex]- 15x + x^2 = 5x - 3x^2[/tex]
Collect like terms
[tex]3x^2 + x^2 - 15x - 5x = 0[/tex]
[tex]4x^2 - 20x = 0[/tex]
Divide through by 4
[tex]x^2 - 5x = 0[/tex]
Expand
[tex]x(x - 5) = 0[/tex]
Split
[tex]x = 0[/tex] or [tex]x - 5 = 0[/tex]
[tex]x = 0[/tex] or [tex]x = 5[/tex]
x can't be 0.
So: [tex]x = 5[/tex]
The number of marbles initially is:
[tex]Total = x^2 + 5[/tex]
[tex]Total = 5^2 + 5[/tex]
[tex]Total = 30[/tex]
Hence, the original number of marbles in the bag is 30.
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Your monthly finance charge is based on your interest rate and your balance, the higher your interest rate, the higher your finance charge will be.
True
False
Answer:
True
Step-by-step explanation:
If you don't pay by the deadline, interest rate will contribute to your finance charge.
more points and more brainliest! Just answer this question
(correct answer will get brainly)
Answer:
There are 3 numbers that are not whole numbers.
3/4, 3.7, and sqrt 3 are not whole numbers
Answer:
3
Step-by-step explanation:
There are only 3 that aren't whole numbers. The whole numbers are: 32, 1,265, 3000, and 1. The numbers that aren't whole are: 3/4, 3.7, and √3
(0.000010)(0.00055)(0.002)
Answer:
[tex]1.1*10^{-11}[/tex]
I used a calculator.
Answer:
[tex]1.1*10^{-11}[/tex]
Step-by-step explanation:
0.000010*0.00055*0.002= 1.1*10^-11 or basically 0.
the study of the organization and collection of data is know as?
Answer:
investigation isanswer
I’m giving out brainlist!!!
Answer:
$0.60
Step-by-step explanation:
Find the unit rate.
[tex]\frac{Dollars}{Cookies}=\frac{9}{15}[/tex] ÷ [tex]\frac{15}{15}=\frac{0.6}{1}[/tex]
Therefore, the cost for one cookie is $0.60.
Answer:
$0.60
You need to find the unit rate. Unit rate is a ratio of 1 to another number, written like 1 : ?.
If a box of 15 cookies costs $9, and you want to find the price of one cookie, then you will need to use unit rate.
Start with the ratio of cookies to dollars.
15:9
Now, you need to find out the cost of one cookie. To do this, you will need to divide 9 by 15 (9/15) because you're trying to split 9 into 15 cookies.
9÷15= .6But, you can't have .6 dollars, so the answer will be $0.60, or 60 cents.
Brainliest is very much appreciated! I work very hard to write lengthy answers.14. Peter needs to buy a package of pencils to write his final exam. The store offers two packages.
Package 1: pack of 6 pencils for $1.68
Package 2: pack of 9 pencils for $2.34
Determine the cost per pencil. Which is the better deal? Round to 2 decimal places. Show all your work for full marks.
Answer:
Step-by-step explanation:
1.68/6=0.28 per pencil in pack 1
2.34/9 =0.26 per pencil in pack 2
So pack 2 is better in terms of Maths
But in business, people prefer pack 1
Chọn bốn ví dụ sau Ví dụ nào không phải là phân số
A.3/-5 B.1,7/3 C.0/2 D.-13/-4
Answer:
a
Step-by-step explanation:
vì số âm không nằm ở dưới
Expand and simply
(5x + 4)²
Answer:
25x^2 +40x+16
Step-by-step explanation:
(5x + 4)²
(5x+4)(5x+4)
FOIL
first 5x*5x = 25x^2
outer 5x*4 = 20x
inner 4*5x = 20x
last = 4*4 = 16
Add them together
25x^2 +20x+20x+16
Combine like terms
25x^2 +40x+16
Answer:
[tex] {(5x + 4)}^{2} \\ = {(5x)}^{2} + 2 \times 4 \times 5x + {4}^{2} \\ = 25 {x}^{2} + 40x + 16 \\ thank \: you[/tex]
find the value of x give reasons to justify your solutions b ∈ ac, d ∈
help asap please!! will award brainliest
Answer:
x = 27°
Step-by-step explanation:
180° - 72° = 108°
108° / 4 = 27°
72° + (27° * 4) = 180°
Hope it helps!
ONLY ANSWER IF YOU KNOW, SHOW WORK
Answer:
hello,
Step-by-step explanation:
[tex]cos(3\theta)+cos(4\theta)\\\\=2*cos(\dfrac{4\theta+3\theta}{2} )*cos(\dfrac{4\theta-3\theta}{2} )\\\\\boxed{=2*cos(\dfrac{7\theta}{2} )*cos(\dfrac{\theta}{2} )}[/tex]
Which value for the constant d makes x = -2 an extraneous solution in the following equation?
[tex]\sqrt{6-15x} =5x+d[/tex]
Answer:
Solution given:
[tex]\sqrt{6-15x} =5x+d[/tex]......(1)
d=?
and
x=-2
Substituting value of x in equation 1.
[tex]\sqrt{6-15*-2} =5*-2+d[/tex].
Solve the like terms
[tex]\sqrt{6+30} =-10+d[/tex].
solve the like terms
[tex]\sqrt{36} =-10+d[/tex].
we have square root of 36 is 6.
6=-10+d
d=16
the value of constant term is 16.
The value of d for the expression [tex]\sqrt{6-15x} = 5x+d[/tex] is 16.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
The value of 'd' is calculated as,
[tex]\sqrt{6-15x} = 5x+d[/tex]
Put the value of x =-2,
[tex]\sqrt{6-(15\times -2)}=(5\times -2)+d[/tex]
√36 = -10 + d
6 = -10 + d
d = 16
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What is a 14 of the sequence 2, 11, 20, ...?
A. 140
B. 128
C. 119
D. 137
Answer:
The answer is 119
Step-by-step explanation:
Just count, but I did it a different way but multiplying then subtracting.
ABCD is rotated counterclockwise about the origin. By how many degrees
was ABCD rotated?
Answer:
180 degrees
Step-by-step explanation:
ABCD is now opposite where it started, so it was rotated 180 degrees
I hope this helps!
Answer:
180 degrees
Step-by-step explanation:
If a fourth plant produces 150 widgets in 60 days, which statement is true?
A. It makes more than Plant A.
B. It makes less than Plant B.
C. It makes less than Plant A.
====================================================
Explanation:
At the 60 day mark, the following number of widgets are produced
Plant A = 300 widgetsPlant B = 100 widgetsPlant C = 200 widgetsThe fourth plant makes 150 widgets, which is between B and C
We see that the fourth plant does not make more than Plant A, so we can rule out choice A.
The fourth plant does not make less than Plant B, which allows us to rule out choice B.
The only thing left is choice C. Sure enough, this statement is true since 150 widgets made at the fourth plant is less than 300 made in Plant A. This is why choice C is the answer.
