A factory received a shipment of 11 hammers, and the vendor who sold the items knows there are 2 hammers in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the hammers in the sample are defective, he will refuse the shipment. Give answer as a decimal to three decimal places
Question:
If a sample of 2 hammer is selected
(a) find the probability that all in the sample are defective.
(b) find the probability that none in the sample are defective.
Answer:
a [tex]Pr = \frac{2}{110}[/tex]
b [tex]Pr = \frac{72}{110}[/tex]
Step-by-step explanation:
Given
[tex]n = 11[/tex] --- hammers
[tex]r = 2[/tex] --- selection
This will be treated as selection without replacement. So, 1 will be subtracted from subsequent probabilities
Solving (a): Probability that both selection are defective.
For two selections, the probability that all are defective is:
[tex]Pr = P(D) * P(D)[/tex]
[tex]Pr = \frac{2}{11} * \frac{2-1}{11-1}[/tex]
[tex]Pr = \frac{2}{11} * \frac{1}{10}[/tex]
[tex]Pr = \frac{2}{110}[/tex]
Solving (b): Probability that none are defective.
The probability that a selection is not defective is:
[tex]P(D') = \frac{9}{11}[/tex]
For two selections, the probability that all are not defective is:
[tex]Pr = P(D') * P(D')[/tex]
[tex]Pr = \frac{9}{11} * \frac{9-1}{11-1}[/tex]
[tex]Pr = \frac{9}{11} * \frac{8}{10}[/tex]
[tex]Pr = \frac{72}{110}[/tex]
for triangle ABC with sides a,b and c the law of cosines states
c^2=
in which of the following cases must the law of cosines be used to solve a triangle?
ASA SSS SAS SSA
Option C is correct. The law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)
For a triangle, ABC with sides a, b, and c respectively, the law of cosines is used on such a triangle if there is a presence of an angle between any two sides.
For example, if angle C is between the sides a and b, the equivalent cosine rule will be expressed as:[tex]c^2 = a^2 + b^2 + 2ab cos C[/tex]
Hence the law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)
Learn more here: https://brainly.com/question/20880990
help me for a brianly
Answer:
32 yd²
Step-by-step explanation:
because 8 • 4 is 32 so it's 32 yd²
Answer:
A = 32 yds^2
Step-by-step explanation:
We know the formula for the area of a rectangle is
A = lw where l is the length and w is the width
A = 4 yds * 8 yds
A = 32 yds^2
Determine if the expression -1−1 is a polynomial or not. If it is a polynomial, state the type and degree of the polynomial.
Answer:
Determine if the expression -1−1 is a polynomial or not. If it is a polynomial, state the type and ... - did not match any documents.
Suggestions:
Make sure that all words are spelled correctly.
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Rewrite the equation
A = b x c
B = ?
Answer:
C ) . B= A/C
Step-by-step explanation:
A=bxc
A/C=B
what is vaule of y when x=4'5
Answer:
[tex]y = 2.096[/tex] or [tex]y = \frac{2\sqrt5+6}{5}}[/tex]
Step-by-step explanation:
Given
[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]
[tex]x = \frac{4}{5}[/tex]
Required
Find y
[tex]y = \frac{4}{x} + \sqrt x + 0.2 - 5x[/tex]
Substitute [tex]x = \frac{4}{5}[/tex]
[tex]y = \frac{4}{4/5} + \sqrt{4/5} + 0.2 - 5 * 4/5[/tex]
[tex]y = 5 + \sqrt{4/5} + 0.2 - 4[/tex]
Collect like terms
[tex]y = \sqrt{4/5} + 5 + 0.2 - 4[/tex]
[tex]y = \sqrt{\frac{4}{5}} + 1.2[/tex]
Split the surd
[tex]y = \frac{\sqrt4}{\sqrt5}} + 1.2[/tex]
[tex]y = \frac{2}{\sqrt5}} + 1.2[/tex]
Rationalize
[tex]y = \frac{2\sqrt5}{\sqrt5*\sqrt5}} + 1.2[/tex]
[tex]y = \frac{2\sqrt5}{5}} + 1.2[/tex]
Take LCM and add
[tex]y = \frac{2\sqrt5+1.2*5}{5}}[/tex]
[tex]y = \frac{2\sqrt5+6}{5}}[/tex]
or solve as:
[tex]y = \frac{2*2.24+6}{5}}[/tex]
[tex]y = \frac{10.48}{5}[/tex]
[tex]y = 2.096[/tex]
Solve 3y^3 + 12y^2 + 12y =0
Please
Answer:
y = 0, -2
Step-by-step explanation:
Factor out the common term 3y.
[tex]3y( {y}^{2} + 4y + 4) = 0[/tex]
Rewrite y² + 4y + 4 in the form of a² + 2ab + b², where a = y and b = 2.
[tex]3y( {y}^{2} + 2(y)(2) + {2}^{2} ) = 0[/tex]
Use square sum: (a + b)² = a² + 2ab + b².
[tex]3y(y + 2) ^{2} = 0[/tex]
solve for y.
y = 0, -2.
therefor, the answer for this equation is 0, - 2.
Tell whether it is possible to draw a figure with the given description.
a triangle with sides of length 5 inches and 6 inches that meet at a 50° angle
Is it possible or not possible. Will give brinliest
Answer:
in my opinion it is not possibleStep-by-step explanation:
hope it helps you have a good day
Choose all of the statements that correctly compare the two functions shown.
Alec's rate of savings is greater than Beth's.
entific
Alec and Beth are saving at the same rate.
Alec started with more money than Beth
mulas
Time
maining
:19:23
Beth started with more money than Alec,
de les
At 10 days, Alec will have $1 more than Beth in savings,
Answer:
b, c and e
Step-by-step explanation:
Given
See attachment for functions
Required
Select all statements that contain both functions
First, calculate the rate (slope) of both functions.
This is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
For Alec's
[tex](x_1,y_1) = (0,3)[/tex]
[tex](x_2,y_2) = (2,9)[/tex]
So, the slope is:
[tex]m = \frac{9 - 3}{2 - 0}[/tex]
[tex]m = \frac{6}{2}[/tex]
[tex]m =3[/tex]
For Beth's
[tex](x_1,y_1) = (5,17)[/tex]
[tex](x_2,y_2) = (12,38)[/tex]
So, the slope is:
[tex]m = \frac{38 - 17}{12 - 5}[/tex]
[tex]m = \frac{21}{7}[/tex]
[tex]m =3[/tex]
Beth and Rec have the same slope. Hence, they save at the same rate.
Next, determine the amount they started with.
This implies that we calculate y when x = 0
From Alec's graph.
[tex](x,y) = (0,3)[/tex]
Alec's initial savings is 3
For Beth's savings, we make use of slope formula.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex](x_1,y_1) = (5,17)[/tex]
[tex](x_2,y_2) = (0,y)[/tex]
So, we have:
[tex]3 =\frac{y - 17}{0 - 5}[/tex]
[tex]3 =\frac{y - 17}{ - 5}[/tex]
[tex]y - 17 = -15[/tex]
[tex]y = 17 -15[/tex]
[tex]y = 2[/tex]
Beth's initial savings is 2
Hence, Alec started with more money
Next, is to determine who has more money after 10 days.
Since they save at the same rate, the difference in their savings after any number of days will be the difference in their initial savings.
The difference (d) is calculated as:
[tex]d = 3 - 2[/tex]
[tex]d = 1[/tex]
Hence, Alec will have $1 more than Beth after 10 days
Answer:
its bc and e or Alec and Beth are saving at the same rate. Alec started with more money than Beth. and At 10 days, Alec will have $1 more than Beth in savings.
Step-by-step explanation:
What fraction is equivalent to 10 and has a denominator of 100? (2 points)
6
100
7
60
100
o
600
100
a
60
10
Answer:
1000 / 100
Step-by-step explanation:
Answer:
ff
Step-by-step explanation:
What three-dimensional figure is represented by the net shown below?
A cube
B square pyramid
C rectangular prism
D rectangular pyramid
Answer:
C
Step-by-step explanation:
The net, if you imagine it folded up, will look like a long box.
Because all the dimensions are not equal, the figure cannot be a cube. Both square and rectangular pyramids have 5 faces, unlike this net.
A net of a rectangular prism, however, will have different dimensions for [tex]l[/tex] and [tex]w[/tex], and have 6 faces. So, the answer is C, rectangular prism.
Good luck ^^
The three-dimensional figure represented by the net shown below is a rectangular prism.
Option C is the correct answer.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
From the figure,
We see that it is an open rectangular prism.
All the open sides are rectangular in shape.
If we fold all the sides it will form a rectangular prism.
Thus,
The three-dimensional figure represented by the net shown below is a rectangular prism.
Learn more about prism here:
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Find y.
1)6.76
2)7.54
3)18.55
4)29.83
9514 1404 393
Answer:
(c) 18.55
Step-by-step explanation:
The law of sines tells you ...
y/sin(106°) = 15/sin(51°)
y = 15×sin(106°)/sin(51°)
y ≈ 18.55
_____
The same kind of proportion can find x:
x = 15×sin(23°)/sin(51°)
x ≈ 7.54
Please note that the question posted here asks for the value of y. The value of x and the complete triangle solution are provided as a courtesy to those who may be asked for other values in this triangle.
Fernando and Maria are at opposite sides of a park. They plan to meet later at a fountain that is located somewhere between them. Maria will arrive at the fountain first, before Fernando even leaves his starting location. The ratio of Maria's starting location to the fountain to Fernando's starting place is 5:3. What is the location of the fountain? Round to the nearest tenth, if necessary. ( ,
Answer: the fountain is located at point (-1,-0.5)
Step-by-step explanation:
Answer: (-1 , -0.5)
Step-by-step explanation:
the perimeter of a rectangle is 36cm.If it is length is 10 cm find its breadth
Answer:
The perimeter of a rectangle is 36 cm, its breadth is 8 cm
Step-by-step explanation:
For a given rectangle
Perimeter (P) = 36 cm
length (L) = 10 cm
Now,
Perimeter (P) = 2 × (length + breadth)
P = 2 × (l + b)
36 = 2 × (10 + b)
36 = 20 + 2b
2b = 36 - 20
2b = 16
b = 16 ÷ 2
b = 8 cm
Thus, The perimeter of a rectangle is 36 cm, its breadth is 8 cm
-TheUnknownScientist
The perimeter of a rectangle is 36 cm. If its length is 10 cm, find its breadth.
Answer:-Given:-[tex] \bullet [/tex] Perimeter (P) of a rectangle is 36 cm.
[tex] \bullet [/tex] Length (L) of a rectangle is 10 cm.
To Find:-Breadth (B) of a rectangle.
Solution:-We know,
P = 2(L + B)
So,
36 = 2(10 + B)
36 = 20 + 2B
36 - 20 = 2B
16 = 2B
B = 16/2 = 8 cm.
Breadth (B) of a rectangle is 8 cm. [Answer]-5.225 as a mixed number.
Answer:
-5 9/40
Step-by-step explanation:
I apologize for the messy photo but please help me with this, I’m really confused! Thank you so so so much.
1)+4
2)-4
3) 2
4) i don't know
5)
Answer: (-2)²=4
-2²=-4
square root of 4 is 2
1 over the square root of 8 is -2
1 aquare root of -8 is 2,-2
Step-by-step explanation:plug them into calculator
A farmer used 204 feet of fencing to enclose a garden in the shape of a rectangle. If the length of the garden is twice the width, what is the width of the garden?
A) 34ft
B) 40.8ft
C) 51ft
D) 68ft
E) 81.6ft
Answer:
A
Step-by-step explanation:
Area=L+L+B+B
L=2
B=1
So, L+L+B+B=6
204/6=34
So, it's 34 ft, which is A.
The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either involved in a relationship or uninvolved. Among involved people, 15 percent experience a breakup of their relationship every month. Among uninvolved people, 15 percent enter into a relationship every month. What is the steady-state percentage of residents who are uninvolved
Answer:
the steady-state percentage of residents who are uninvolved is 0.5
Step-by-step explanation:
Given the data in the question;
let N represent total number of people in the dormitory
I represent people involved in a relationship
and U represent people uninvolved in a relationship.
so
N = I + U
I = N - U ------ let this be equation 1
Rate of Uninvolved = U/N
now, given that rate of break ups B = 15% every month = 0.15
rate of entering into relationship R = 15% every month = 0.15
Now, the steady state condition is;
RU = BI ------- let this be equation 2
such that uninvolved rate is constant.
we input equation 1 into 2;
RU = B( N - U )
we divide both sides by N
RU/N = B( N/N - U/N )
RU/N = B( 1 - U/N )
U/N = B / (B + R)
so we substitute
U/N = 0.15 / (0.15 + 0.15)
U/N = 0.15 / 0.3
U/N = 0.5
Therefore, the steady-state percentage of residents who are uninvolved is 0.5
Solve for x.
5(x + 1) = 4(X + 8)
Ox= 37
Ox=7
Ox=27
Ox=17
Help please
Answer:
27
Step-by-step explanation:
Two small planes start from the same point and fly in opposite directions. The first plane is flying 25 mph slower than the second plane. In 2 hrs, the planes are 470 mi apart. Find the rate of each plane.
Answer:
105 mph = rate of first plane
130 mph = rate of second plane
Step-by-step explanation:
Let r = rate of first plane
then r + 25 = rate of second plane
2r = distance of first plane
2(r + 25) = distance of second plane
2r + 2(r + 25) = 470
2r + 2r + 50 = 470
4r = 420
r = 105 mph
r + 25 = 130 mph
What is the mean for these numbers?
5,5,5,5
Answer:
IF THERE IS A LINK DON'T CLICK ON IT
Step-by-step explanation:
IT'S A COMPUTER PHONE AND TABLET VIRUS
Answer:
5
Step-by-step explanation:
Question 2 of 10
What is the solution to this equation?
x - 16 = -8
A. x= 8
B. x = -8
C. x = 24
D. x= -24
Please help me ASAP really need help!!!
Answer:
2.7
Step-by-step explanation:
the scale factor should be consistant as you scale up and down. So you can divide 4.59 by its corresponding side of 1.7 in order to get the scale factor of 2.7. When repeated with the other sides this number should remian consitant.
Help please!!! I can’t figure it out
9514 1404 393
Answer:
C. ... 3 1/4 cups
Step-by-step explanation:
The problem statement tells you that the other measures are combined. That means you're looking for an expression like ...
3/8 × ((3 2/3) +(2 1/4) +(2 3/4))
This eliminates choices B and D.
If you look at the numbers in parentheses, you see that the 1/4 and 3/4 will have a sum of 1, so the only fraction in the sum will be 2/3. This eliminates choice A.
The only viable answer choice is C.
__
If you like, you can check to see that answer C is correct.
(3/8)(8 2/3) = (3/8)(26/3) = 26/8 = 3 2/8 = 3 1/4
D 2. Squares, rectangles, and rhombi åre types of trapezoids.
True
O
False
Answer:
false
Step-by-step explanation:
At Ralphs Italian Ices, 145 sundaes were sold in June. Sales were up 23% in July. How many sundaes were sold in July?
Answer:
I Think 178
Step-by-step explanation:
Need help!!!!!!!!!!!
Answer:
90°
-Sum of angles in a triangle= 180°
-angle C is 90°
-therefore angle A + angle B is,
180° - 90° = 90°
Elijah bought a new car for $25,000. He paid
$5,000 up front and then $600 per month. How
many months will it take Elijah to pay off the car?
Answer: 6 days too be exact
Step-by-step explanation:
Answer:
33.333 months
Step-by-step explanation:
25,000-5,000=20,000
20,000/600=33.333
If he payed $5,000 upfront, the he only has $20,000 remaining to pay. If he is paying $600 a month then you divide the $20,000 by the $600 to 33.333 months. Hope this helps
Find the area of the shaded region
simplify 8x+7-x-4
help meeeeee!!!
Answer:
7x + 3
Step-by-step explanation:
Let's simplify step-by-step.
8x + 7 − x − 4
= 8x + 7 + −x + −4
Combine Like Terms:
= 8x + 7 + −x + −4
= (8x + −x) + (7 + −4)
= 7x + 3
Answer:
= 7x + 3
hope this helps and is right. p.s i really need brainliest :)
if my answer is wrong then I am incredibly sorry!