Answer:
B
Step-by-step explanation:
because i said so
A shipment of inexpensive digital watches, including that are defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective. What is the probability that the shipment will be rejected?.
0.8926 percent of the time, the shipment will be rejected.
What is Probability?The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
According to the given information:A delivery of 50 cheap digital watches, 10 of which are flawed.
A digital watch's likelihood of malfunctioning
P = 10/50
= 0.2
Size of sample: n = 10
Additionally, if they find one or more samples to be defective, they reject the entire cargo.
Making use of the binomial probability formula:
[tex]P(x)={ }^{n} C_{x} p^{x}(1-p)^{n-x}[/tex]
The random variable x should stand in for the quantity of defective watches.
The chance that the delivery will be refused is:
[tex]P(x \geq 1)=1-P(0)[/tex]
= [tex]1-{ }^{10} C_{0}(0.2)^{0}(0.8)^{10}[/tex]
= 1 - (0.8)[tex]^{10}[/tex]
= 0.8926
As a result, 0.8926 percent of the time, the shipment will be rejected.
To know more about binomial probability visit:
https://brainly.com/question/13072083
#SPJ4
I understand that the question you are looking for is:
A shipment of 50 inexpensive digital watches, including 10 that are defective, is sent to a department store. The receiving department selects 10 at random for testing and rejects the whole shipment if 1 or more in the sample are found defective. What is the probability that the shipment will be rejected
What is the constant of variation for the following table? If your answer is in the form of a fraction, write your answer in as a/b.
(where a is the numerator and b is the denominator)
Answer:
1/4
Step-by-step explanation:
Change is y (f9x) over the change in x.
Look at the f(x) column.
What is the change from -2 to -1? 1
What is the change from -1 to 0? 1
What is the change from 0 to 1? 1
What is the change from 1 to 2? 1
We see that this change is constant. It is always 1.
Look at the x column.
What is the change from -8 to -4? 4
What is the change from -4 to 0? 4
What is the change from 0 to 4? 4
What is the change from 4 to 8? 4
We see that the change is constant. It is always 1.
When we put this change the form a/b we get 1/4
The scale of a map is 1:250000. On the map a large forest has an area of 6cm². Calculate the actual area of the forest. Give your answers in square kilometers.
The distance on map exists 32 cm and actual area exists 37.5 km².
How to estimate the actual area of the forest in square kilometers?
Given: Scale of the map exists at 1:250000.
(a) Distance between two cities = 80 km
= 80000 m
= 8000000 cm
Distance on map = 8000000 [tex]*[/tex] 1/ 250000
= 32 cm
(b) Area of map = 6 cm²
Actual area = [tex]6(250000)^2[/tex] cm²
[tex]= 6 * 625 * 10^8[/tex] cm²
[tex]= 3750 * 10^8/ 10^{10}[/tex]
= 37.5 km²
Therefore, the distance on map exists 32 cm and actual area exists 37.5 km².
To learn more about actual area refer to:
https://brainly.com/question/27222024
#SPJ9
Ethan's school has a sports field with an area of 6,450.35 square yards. if the length of the field is 90.85 yards, what is the width of the field? a. 81 yards b. 77 yards c. 75 yards d. 71 yards e. 65 yards
Answer:
6450.35/90.85 = 71 yards.
Step-by-step explanation:
Three fair, standard six-faced dice of different colors are rolled. In how many ways can
the dice be rolled such that the sum of the numbers rolled is 15?
These are some of the ways you can make 15 by adding three numbers together.
The first way is doing 6+6+3.There are some more ways to do it too.
2nd way is 6+4+5.
3. 1+6+6
4. 5+5+5
-(2021.0,7+19,75)+2021.0,7-(8-19,75)
Answer: -8.
Step-by-step explanation:
-(2021.0,7+19,75)+2021.0,7-(8-19,75)=-2021.0,7-19,75+2021.0,7-8+19,75=-8.
In mr. wilson's geometry class, 12 of the students received a's and 20 received b's. in his statistics class, 11 of the students got a's and 15 got b's. in which class did mr. wilson's students earn a higher ratio of a's to b's? a. statistics b. neither, the ratios are equivalent c. geometry d. not enough information
In (A) statistics class Wilson's students earn a higher ratio of a's to b's.
What are ratios?A ratio in mathematics describes how many times one number contains another. For example, if a dish of the fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.To find the higher ratio:
Given -
Geometry class = a:b = 12:20 = 3:5Statistics class = a:b = 11:15As we can observe that 3:5 < 11:15.
Therefore, in (A) statistics class Wilson's students earn a higher ratio of a's to b's.
Know more about ratios here:
https://brainly.com/question/2328454
#SPJ4
Dave is helping his grandmother make trail mix. His grandmother asks him to add 1/5 cup of fruit for every 1/3 cup of nuts.
Answer:
dave needs 3/5
Step-by-step explanation:
Step-by-step explanation:
what is the question ?
what problem needs to be solved ?
is it to find the ratio between fruit and nuts ?
then remember, a ratio is a fraction.
so, the ratio fruit : nuts is
1/5 / 1/3 = 1×3 / 5×1 = 3/5 or 3 : 5
or is it about any fraction problems and we need to bring them to the same denominator to add our compare them ?
to compare the 1/5 cup of fruit with the 1/3 cup of nuts, the smallest common multiple of 5 and 3 is 15. so we need to bring all to .../15.
how to make 15 out of 5 ? by multiplying 5 by 3. and we need to do this on the top of the fraction as well to keep the original value of the fraction.
1/5 = 1/5 × 3/3 = 3/15.
and with the same line of thinking :
1/3 = 1/3 × 5/5 = 5/15.
so, when mixing 1/5 cup of fruit with 1/3 cup of nuts, we get 3/15 + 5/15 = 8/15 cup of trail mix.
here you can clearly see the ratio again : 3/15 : 5/15 = 3:5
the first solution to get only full cups of trail mix is
3 cups of fruit and 5 cups of nuts = 8 cups of trail mix.
anything less will always end up with parts of cups (since 3/5 can't be simplified anymore).
Find the length of CB.
5x – 3
3x + 1
Assumed that sides are equal
5x-3=3x+15x-3x=1+32x=4x=2CB
5(2)-37Kim purchased a dress that was originally $35. It was on sale for 30% off. She also bought a pair of shoes for 1/2 off the original price of $17. If the store added a 4% sales tax, how much would she pay for both items?
Answer: $34.32
Step-by-step explanation: We first calculate the price of the dress that was on sale. 30% of 35 is 35/10 x3. This is equal to 3.5x3 which is 7+3.5 = 10.5 We subtract this from 35 to get $24.5. So, the dress cost $24.5. Next 1/2 of 17 is 8.5. In total, the items cost $24.5+$8.5 = $33. Then, there is a 4% sales tax we have to add on to 33. 1% of 33 is 33/100 which is 0.33. This time 4 is 1.32. 33+1.32 is 34.32.
What is the simplified form of the following expression?
2√27+√12-3√3-2√12
O√3
O 9√3
O 11 √3
O 15√3
Answer:
[tex] \sqrt{3} [/tex]
Step-by-step explanation:
27 is 3×3×3 from square root we can take 3 out as 3^2 elimate square root and remaining 3 is under root
The price of a television was reduced from 250 to 200. by what percentage was the price of the television reduced
Answer:
20%
Step-by-step explanation:
We can start by finding out how much the price of the television was reduced by.
250 - 200 = 50
Now, we need to know what percent of 250 is 50? Let x represent the percent of 250 that is 50. Using this, we can set up an equation:
[tex]x\%\times 250=50[/tex]
Notice that a percentage can also be written as that number over 100.
[tex]\frac{x}{100}\times250=50[/tex]
[tex]\frac{250x}{100}=50[/tex]
Reduce the fraction (250 and 100 have a common factor of 10)
[tex]\frac{25x}{10}=50[/tex]
Reduce the fraction again (25 and 10 have a common factor of 5)
[tex]\frac{5x}{2}=50[/tex]
Multiply both sides by two
[tex]5x=100[/tex]
Divide both sides by 5
[tex]x=20[/tex]
Therefore the price of the television was reduced by 20%.
The following formula relates three quantities: Force (F), mass (m), and acceleration (a). F = ma
F = ma is [tex]a=\frac{F}{m}[/tex]
Why is the formula F=ma?The equation for Newton's Second Law of Motion is F = ma. Force is equal to the rate of change of momentum, according to the definition of Newton's Second Law of Motion. Force is defined as mass times acceleration for a constant mass.The following formula relates three quantities: Force (F), mass (m), and acceleration (a). F = ma
F = ma
F= force
m= mass
a= acceleration
[tex]F = ma[/tex]
Divide both sides by the mass
[tex]a=\frac{F}{m}[/tex]
F = ma is [tex]a=\frac{F}{m}[/tex]
To learn more about F = ma, refer to:
https://brainly.com/question/836102
#SPJ9
A population of rabbits has 20 offspring per pair of rabbits. a population of cheetahs has 2 offspring per pair of cheetahs. which population will be more affected by genetic drift?
Cheetahs population will be more affected by genetic drift
What is genetic drift?Genetic drift is the change in a population's frequency of an existing gene variant brought on by chance. Gene variations may totally vanish due to genetic drift, hence reducing genetic variation. Additionally, it may lead to the considerably greater frequency and even fixation of previously rare alleles.
What causes genetic drift?Random drift is a result of recurrently small populations, drastic population reductions known as "bottlenecks," and founder events in which a new population is created from a small number of individuals.
To know more about Genetic Drift visit:
https://brainly.com/question/17483792
#SPJ4
HELP, i really need help with these for questions, I’ll give Brainliest to whoever answers first, random answers will be reports.
The angles and lengths of each of the given triangles are;
5) m∠B = 57.52°
6) B = 70.81°
7) AB = 55.43 Km
8) AC = 39.06 ft
How to use cosine rule?
The cosine rule is expressed as;
c = √[a² + b² - 2ab(cos C)]
5) Using cosine rule;
BC = √[21² + 13² - 2(21*13)(cos 91)]
BC = 24.89
Using sine rule, we can find angle B as;
21/sin m∠B = 24.89/sin 91
sin m∠B = (21 * sin 91)/24.89
sin m∠B = 0.8436
m∠B = sin⁻¹0.8436
m∠B = 57.52°
6) Using cosine rule;
14² = 11² + 13² - 2(11*13)(cos B)]
196 = 121 + 169 - 286(cos B)
cos B = (121 + 169 - 196)/286
cos B = 0.3287
B = cos⁻¹0.3287
B = 70.81°
7) Using cosine rule;
AB = √[24² + 36² - 2(24*36)(cos 134)]
AB = 55.43 Km
8) Using cosine rule;
AC = √[21² + 26² - 2(21*26)(cos 112)]
AC = 39.06 ft
Read more about cosine rule at; https://brainly.com/question/4372174
#SPJ1
6. In a standard deck of cards:
Event A: Card is red
Event B: Card is a heart
Events A and B are ____
A)None of these
B)Dependent
C)Independet
D)Both
Events A and B are dependent (option B).
What are dependent events?Dependent events are events that can occur together. If event A occurs then event B would occur. In a standard deck of cards, cards that are hearts are red in colour. If a heart card is picked, then it would be red in colour.
Independents events are events whose occurrence do not depend on each other. They are random events.
To learn more about independent events, please check: https://brainly.com/question/13075229
#SPJ1
What is the domain of the following points? Group of answer choices {-4, 1, 4} {-4, -1, 1, 4} {-1, 4, 1} {1, 4}
The domain of the relation shown in the graph is -4 <= x <= 4
How to determine the domain of the relation shown in the graph?The complete question is added as an attachment
The relation on the graph is an ellipse function.
The domain is the set of x values the function can take
From the graph, we have the following x values
This means that the domain of x in the graph is -4 <= x <= 4
Hence, the domain of the relation shown in the graph is -4 <= x <= 4
Read more about domain at:
https://brainly.com/question/1770447
#SPJ1
A company estimates that its cost and revenue can be modeled by the functions C)-0.75x+20,000
and R(x)-1.50x where x is the number of units produced. The company's profit, P, is modeled by
P(z) R(x)-C(z). Find the profit function P(x).
Let C(x) = -0.75x + 20,000 and R(x)= -1.50x then the profit function exists noted as P(x) = R(x) - C(x)
P(x) = -1.50x - (-0.75)x + 20,000
P(x) = -0.75x + 20000
Therefore, the profit function exists -0.75x + 20000.
How to find profit function?
The profit function can be estimated by subtracting the cost function from the revenue function. Let profit be expressed as P(x), the revenue as R(x), the cost as C(x), and x as the number of items traded. Then the profit function exists noted as P(x) = R(x) - C(x).
Given:
C(x) = -0.75x+20,000 and R(x)= -1.50x
P(x) = R(x) - C(x)
= -1.50x - (-0.75)x + 20,000
= -1.50x + 0.75x + 20,000
Apply rule -(-a) = a
= -1.5x + 0.75x + 20000
Add similar elements:
-1.5 x + 0.75x = -0.75x
P(x) = -0.75x + 20000
Therefore, the profit function exists -0.75x + 20000.
To learn more about profit function refer to:
https://brainly.com/question/16866047
#SPJ9
PLEASE HELP ITS MATH PLEASE
Answer:
y=3x-5
Step-by-step explanation:
they are parallel meaning that only the constant is changing
-2 = 3(1) - (something)
-2 = 3 - (something)
something = 5. - > that was 3+2
so y=3x+(-5)
Which values below belong in this table? Select all that apply.
The possible value of y are 16, 32 and 64
How to find the values of an exponential table?The table above is an exponential table.
Therefore, let's confirm the ratio of the y axis.
8 / 4 = 2
4 / 2 = 2
Therefore, the other y axis can be gotten as follows:
y = 8 × 2 = 16
y = 16 × 2 = 32
y = 32 × 2 = 64
y = 64 × 2 = 128
Therefore, the possible value of y are 16, 32 and 64
learn more on exponential table here: https://brainly.com/question/12314854
#SPJ1
The slope of the line below is -3 which of the following point-slope form of the line?
Answer:
The "point-slope" form of the equation of a straight line is:
\begin{gathered}y-y_1=m(x-x_1)\\\\(x_1;\ y_1)\ is\ a\ known\ point\\\\m\ is\ the\ slope\ of\ the\ line\end{gathered}y−y1=m(x−x1)(x1; y1) is a known pointm is the slope of the line
We have:
m=-3;\ (x_1;\ y_1)=(2;-2)m=−3; (x1; y1)=(2;−2)
Substitute
\begin{gathered}y-(-2)=-3(x-2)\\\\y+2=-3(x-2)\end{gathered}y−(−2)=−3(x−2)y+2=−3(x−2)
Answer: B. y + 2 = -3(x - 2
What is the solution to this inequality?
7x+18>−3
x>−3
, , x greater than negative 3, ,
x<−3
, , , , x less than negative 3, , , ,
x>3
, , x greater than 3, ,
x<3
Answer:
x>-3
Step-by-step explanation:
7x+18>-3
transpose 18 to the other side to group the like terms
7x>-3-18
7x>-21
You divide bother sides by a 7 to get the value of x
7x/7>-21/7
therefore x>-3
If tan A 3/4 find the value of: sin2A
Answer:
24/25
Step-by-step explanation:
use tan^-1 to find the angle
tan^-1(3/4)=36.86989765°
A =36.86989765°
2A= 2×36.86989765
=73.73979529°
sin2A>>>>sin(73.73979529°)
=24/25 or 0.96
Answer:
sin2A = [tex]\frac{24}{25}[/tex]
Step-by-step explanation:
using the identity
sin2A = 2sinAcosA
given
tan2A = [tex]\frac{3}{4}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]
then this is a 3- 4- 5 right triangle with
hypotenuse = 5, opposite = 3 , adjacent = 4 , then
sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{3}{5}[/tex] and cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{4}{5}[/tex]
Then
sin2A = 2 × [tex]\frac{3}{5}[/tex] × [tex]\frac{4}{5}[/tex] = [tex]\frac{2(3)(4)}{5(5)}[/tex] = [tex]\frac{24}{25}[/tex]
Find the value of x in the given figure
Answer:
x = 36
Step-by-step explanation:
3x and 2x are a linear pair and sum to 180° , that is
3x + 2x = 180
5x = 180 ( divide both sides by 5 )
x = 36
i want to solve this problem i forgot maths lol 4/5 + 8/5
Answer:
The correct answer is 2 [tex]\frac{2}{5}[/tex].
Step-by-step explanation:
To get this answer, we first have to add the numerators.
We can easily say that 4 + 8 = 12
That leaves us with the improper fraction, [tex]\frac{12}{5}[/tex].
To make this fraction proper, we must first find out how many times 5 can go into 12.
5 can go into 12 two times which leaves us with 2 left over from the numerator.
Now all that's left to do is add 2 (the amount of times 5 can go into 12) and [tex]\frac{2}{5}[/tex] (the left over fraction) to get the answer 2[tex]\frac{2}{5}[/tex].
Hope this helps:) Goodluck!
Put in decimal form, out to the nearest hundredth and explain how you got your answer.
This problem is meant to be done in order of operations.
Answer: [tex]\Large\boxed{2}[/tex]
Concept:
Here, we need to know the idea of the PEMDAS method.
PEMDAS is an acronym for the order of operations.
ParenthesisExponentsMultiplicationDivisionAdditionSubtractionSolve:
Given expression
[tex]\dfrac{3^3~-~13}{11~-~2^2}[/tex]
Simplify the exponents
[tex]=\dfrac{27~-~13}{11~-~4}[/tex]
Simplify by subtraction
[tex]=\dfrac{14}{7}[/tex]
Simplify the fraction
[tex]\Large\boxed{=2}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
How long can it take for the body to process the alcohol in one standard drink (0. 6 ounces)? 2 hours 1. 5 hours 1 hour 30 minutes
Answer:
1 hour
Step-by-step explanation:
(Geometry course question) Explain why it is not possible to construct an equilateral triangle that has
three vertices with integer coordinates. Show your work by providing an example and
including a graph. Consider an equilateral triangle whose base lies along the x-axis.
Answer:
√3 is irrational
Step-by-step explanation:
The location of the third point of a triangle can be found using a rotation matrix to transform the coordinates of the given points.
Location of point CWith reference to the attached figure, the slope of line AC is √3, an irrational number. This means the line AC never passes through a point with integer coordinates. (Any point with integer coordinates would be on a line with rational slope.)
Equilateral triangleThe line segments making up an equilateral triangle are separated by an angle of 60°. If two vertices are on grid squares, the third must be a rotation of one of them about the other through an angle of 60°. The rotation matrix is irrational, so the rotated point must have irrational coordinates.
The math of it is this. For rotation of (x, y) counterclockwise 60° about the origin, the transformation matrix is ...
[tex]\left[\begin{array}{cc}\cos(60^\circ)&\sin(60^\circ)\\-\sin(60^\circ)&\cos(60^\circ)\end{array}\right] \left[\begin{array}{c}x\\y\end{array}\right]=\left[\begin{array}{c}x'\\y'\end{array}\right][/tex]
Cos(60°) is rational, but sin(60°) is not. For any non-zero rational values of x and y, the sum ...
cos(60°)·x + sin(60°)·y
will be irrational.
As in the attached diagram, if one of the coordinates of the rotated point (B) is zero, then one of the coordinates of its image (C) will be rational. The other image point coordinate cannot be rational.
Find the surface area of the pyramid with a regular pentagon as its base. Round to the nearest tenth if necessary. (13 is the length of the edge not the slant)
The surface area of this pyramid with a regular pentagon as its base is equal to 851.09 square units.
How to calculate the surface area?In Mathematics, a complete circle has a magnitude of 360° and when it is divided by the 10 triangles, the angle formed at the center of the pentagon would always be equal to 36°.
Also, the length of the apothem of a pentagon can be calculated by using this formula:
a = s/2tan(36)
Where:
a represents the length of the apothem of a pentagon.s represents the length of the sides of a pentagon.Substituting the given parameters into the formula, we have;
a = 10/2tan(36)
a = 10/1.45
a = 6.90 units.
Next, we would determine the slant height of this pyramid by applying Pythagorean theorem:
c² = a² + b²
c² = 6.9² + 13²
c² = 47.61 + 169
c² = 216.1
c = √216.1
c = 14.72 units.
For the surface area, we have:
Mathematically, the surface area of a pyramid with a regular pentagon as its base can be calculated by using this formula:
SA = 1.72l² × (5/2 × l × h)
SA = 1.72(14.72)² × (5/2 × 14.72 × 13)
SA = 372.69 + 478.4
SA = 851.09 square units.
Read more on pentagonal pyramid here: https://brainly.com/question/15373639
#SPJ1
if 7 cosec^2 theta-9 cot^2theta=7 then what is the value of tantheta
The value of tanθ = ±∞ or tanθ = ±√(7/5)
The question is a trigonometric equation
What is a trigonometric equation?A trigonometric equation is an equation that has unknowns that contain trigonometric ratios.
How to find the value of tanθ?Given the trigonometric equation 7cosec²θ - 9cot²θ = 7, we require tanθ.
So, 7cosec²θ - 9cot²θ = 7
using the trigonometric identity 1 + cot²θ = cosec²θ.
Substituting this into the equation, we have
7cosec²θ - 9cot²θ = 7
7(1 + cot²θ)² - 9cot²θ = 7
7(1 + 2cot²θ + cot⁴θ) - 9cot²θ = 7
7 + 14cot²θ + 7cot⁴θ - 9cot²θ = 7
14cot²θ + 7cot⁴θ - 9cot²θ = 7 - 7
14cot²θ + 7cot⁴θ - 9cot²θ = 0
7cot⁴θ + 14cot²θ - 9cot²θ = 0
7cot⁴θ + 5cot²θ = 0
Factorizing out cot²θ, we have
cot²θ(7cot²θ - 5) = 0
⇒ cot²θ = 0 or 7cot²θ - 5 = 0
⇒ cotθ = ±√0 or 7cot²θ = 5
⇒ cotθ = ±0 or cot²θ = 5/7
⇒ cotθ = ±0 or cotθ = ±√(5/7)
⇒ 1/tanθ = ±0 or 1/tanθ = ±√(5/7)
⇒ tanθ = ±1/0 or tanθ = ±√(7/5)
⇒ tanθ = ±∞ or tanθ = ±√(7/5)
So, the value of tanθ = ±∞ or tanθ = ±√(7/5)
Learn more about trigonometric equation here:
https://brainly.com/question/28025415
#SPJ1
