Answer:
False
True
False
False
True
True
False1
Please help ASPA thanks
What is it that you need help with im in Algebra 1
an electric network has 3 switches aligned as shown in figure 1 and the probability that one of them is turned on is 60%, independently of the status of the other switches. what is the probability that the system is working? 8 points per problems
For an electric network with three switches ( two are in series and one in parallel), the probability that the system is working is equal to the 0.644 or 64.4 %.
We have, an electric network has 3 switches aligned as present in above figure. Switches present in upper side in network or in series are switch 1 and switch 2 and switch present in parallel is switch 3. The probability that one out of three is turn on = 60% = 0.60
We have to determine probability that the system is working. System is working when all switches are on. Letvus consider the events,
A = Switch 1 is turn on
B = Switch 2 is turn on
C= Switch 3 is turn on
Now, probability that switch 1 is turn on P( A) = 0.60
Probability that switch 2 is turn on P( B)
= 0.60
Probability that switch 3 is turn on P(C)
= 0.60
We know if two events A and B are independent then, we have P(A∩B) = P(A) × P(B)
Here, Switch 1 and switch 2 are independent so, P( A∩B) =0.60 × 0.60
= 0.36
Probability that the system is working =
[(switch 3 is turn on ) or (switch 1 is turn on and switch 2 is turn on)]
= P( C∪( A∩B))
= P(C) + P(A∩B ) - P ( C∩ (A∩B))
= 0.60 + 0.36 - P(C) × P(A∩B)
= 0.96 - 0.6 × 0.36
= 0.96 - 0.216
= 0.644
Hence, required probability is 0.644.
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Complete question:
the above figure completes the question.
an electric network has 3 switches aligned as shown in figure 1 and the probability that one of them is turned on is 60%, independently of the status of the other switches. what is the probability that the system is working? 8 points per problems
Solve for vertex algebraically 4x^2-8x+9
Answer: (1,5)
f(x)=4*x^2+-8x+9
f(x)=4*(x^2+-2x+9/4 ( Factor out )
f(x)=4*(x^2+-2x+(-1)^2+-1*(-1)^2+9/4) ( Complete the square )
f(x)=4*((x+-1)^2+-1*(-1)^2+9/4) ( Use the binomial formula )
f(x)=4*((x+-1)^2+1*5/4) ( simplify )
f(x)=4*(x+-1)^2+5 ( expand )
1. Solve 5h+34 = 17 for h.
A -17/5
B -51/5
C 51/5
D 17/5
Answer:
A. -17/5
Step-by-step explanation:
h= -17/5
Hope this helps! :)
Graph △ABC with vertices A(–6, 1), B(–3, 3), and C(–1, 0) and its image after the glide reflection.
Translation: (x, y) ---> (x + 1, y)
Reflection: (x, y) ----> in the x-axis
Help please it's for a test!!
Answer:
Translation: (x, y) ---> (x + 1, y)
Reflection: (x, y) ----> in the x-a
when f(x)=5x^2+x+4, evaluate f(-1)
Answer: The value of f(-1) is equal to 5(-1)^2 + (-1) + 4 = -5 + (-1) + 4 = -2
Step-by-step explanation:
To evaluate f(-1), we substitute -1 for x in the function f(x)=5x^2+x+4. This gives us f(-1)=5(-1)^2+(-1)+4. We simplify this by applying the exponent first, so (-1)^2=1. Then we substitute the result in the function, which gives us f(-1)=5(1)+(-1)+4. Now we can simplify it by adding and subtracting the values which gives us f(-1)=5+(-1)+4=8.
The area of a triangle is 30
square inches. The height is
5 in. Find the base.
Answer:
12 inches
Step-by-step explanation:
A=1/2bh
30=1/2b5
(30*2)/5=b
B=12
aida has 100 coins and 76 of them are nickels what percent of the coins are nickel
Answer:
76%
Step-by-step explanation:
Cuz its 76/100 so its 76%
Cost to store: ?
Markup: 15%
Selling price: $85.10
Answer:
115% = 85.10
divide both sides by 115 to find 1%
1% = 0.74
now multiply both sides by 100 to find 100%
100% = 74
cost price = $74
55% of the cookies Joelle bake had chocolate chips is the wild baked 77 cookies with chocolate chip cookies baking cakes
hello brainly team I need help
Answer:
5)
x=13.856
y=8
6)
u=4
v=3.464
Step-by-step explanation:
5)
y=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)
y = 16*sin(30)/sin(90)
y=8
x=hypothesis * sin(opposing angle)/sin(angle opposite of hypothesis)
x=16*sin(60)/sin(90)
x=13.856
6)
sinA/(opposite of angle A) = sinB/(opposite side of angle B) = sinC/(opposite of side of angle C)
sin(90)/u= sin(30)/2
u *sin(30) = 2* sin(90)
u *sin(30) = 2
u=2/sin(30)
u=2/0.5
u=4
sin(60)/v= sin(30)/2
v *sin(30) = 2* sin(60)
v *sin(30) = 2 * 0.866
v * sin(30) = 1.73
v = 1.73/sin(30)
v = 3.464
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
[5] x = 8 and y = 13.856
[6] v = 4 and u = 3.464
≤ Step-by-step explanation ≥-------------------------------------------------------------------------------------------------------------
[5]
sin60° = x/16 = 1/2
x = 16/2 = 8
cos60° = y/16 = √3/2
y = 16√3/2 = 8√3
Can also be : 8√3 = 13.856
-------------------------------------------------------------------------------------------------------------
[6]
sin30° = 2/u = 1/2
u = 2 x 2 = 4
tan30° = 2/v = √3
v = 2√3
can also be: 2√3= 3.464
-------------------------------------------------------------------------------------------------------------
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~lenvy~
chris has been given a list of bands and asked to place a vote. his vote must have the names of his favorite and second favorite bands from the list. how many different votes are possible?
There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.
To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.
Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.
Therefore, the number of different votes possible is m * (m-1) / 2.
In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.
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evaluate the double integral_d (x^2 + 2y) dA, D is bounded by y = x, y = x^3, x ≥ 0
After evaluating the double integral, the result, 0.27, is determined by the stated statement.
What is the definition of an integral?In mathematics, an integral is either a number representing the region beneath a function's graph over a certain interval or maybe a new function, the inverse of which comprises the original result (indefinite integral). The value produced after integrates or adding the words of a function that is split into an unending number of terms is referred to as an integral value in general.
The double integral is an example.
\(\iint_D\left(x^2+2 y\right) d A\) where d is enclosed by the lines y = x & y = x³.
In the region D, x varies from 0 to 1, and y varies from y = x³ to y = x
\(\therefore \iint_D\left(x^2+2 y\right) d A=\int_{x=0}^1 \int_{y=x^3}^x\left(x^2+2 y\right) d y d x\)
\(=\int_{x=0}^1\left[x^2 y+y^2\right]_{x^3}^x d x\)
\(=\int_{x=0}^1\left[x^2\left(x-x^3\right)+\left[x^2-\left(x^3\right)^2\right]\right] d x=\int_{x=0}^1\left[x^3-x^5+x^2-x^6\right] d x\)
\(\left.=\frac{x^4}{4}-\frac{x^6}{6}+\frac{x^3}{3}-\frac{x^7}{7}\right]_0^1\)
= \(\frac{1}{4}-\frac{1}{6}+\frac{1}{3}-\frac{1}{7}\)
= 23/84
= 0.27
\(\therefore \iint_D\left(x^2+2 y\right) d A=0.27\)
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Two observers are 300 ft apart on opposite sides of a flagpole. The angles of
elevation from the observers to the top of the pole are 20°
and 15°. Find the
height of the flagpole.
the use of a ""thumbs-up"" gesture to symbolize the statement ""good luck""
The use of a "thumbs-up" gesture to symbolize the statement "good luck" is a common practice in many cultures. This gesture is typically used to express approval or agreement, but it can also be used to convey positive wishes, such as wishing someone good luck before an exam or a job interview.
It is believed that this gesture originated in ancient Rome, where it was used as a sign of approval in the gladiatorial arena. Today, the thumbs-up gesture has become a universal symbol of positivity and encouragement. So, if you want to wish someone good luck, a thumbs-up gesture is a great way to do it!
The use of a "thumbs-up" gesture to symbolize the statement "good luck" involves the following steps:
1. Extend your arm: To perform the thumbs-up gesture, first extend your arm in the direction of the person you want to wish good luck.
2. Make a fist: Close your fingers into a fist, with your thumb pointing upwards.
3. Show your thumb: Ensure that the thumb is clearly visible and pointing upwards. This represents the "thumbs-up" gesture.
4. Make eye contact: Look at the person you're wishing good luck to, so they know the gesture is directed at them.
By performing the thumbs-up gesture, you're using a universally recognized symbol to convey your positive sentiment and wish someone good luck in their endeavors.
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A right triangle and two of its side lengths are shown in the diagram. 11.9 cm 7.9 cm x cm Which measurement is closest to the value of x in centimeters?
6.3
4.0
14.3
19.8
The measurement that is closest to the value of x, in centimeters, is given as follows:
14.3.
How to obtain the value of x?In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.
Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.
The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.
Then the length of x is calculated as follows:
x² = 11.9² + 7.9²
x = square root of (11.9² + 7.9²)
x = 14.28.
Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.
Missing InformationWe suppose that 11.9 cm and 7.9 cm are the measures of the legs.
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Find the slope of the line that passes through the points (8,3) and (2,9)
i need some help with this problem i don’t really understand it
Answer:
-34x+29
Step-by-step explanation:
\(7(5-x)-3(9x+2)=7.5-7x-3.9x-3.2=35-7x-27x-6\\=-34x+29\)
The angle of the elevation from the top of a 95 Todd building into a hot air balloon in the sky and 76° if the horizontal distance between the building in a horrible Luna is 354 feet find the height of a hot air balloon
Answer:
The height of the hot air balloon is 1514.54 feet approximately.
Step-by-step explanation:
Consider the provided information.
The angle of elevation from the top of a 95-foot tall building to a hot air balloon in the sky is 76. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon
The figure is shown below:
Let the height of the balloon is AD, the height of the building is BC.
Draw a line BE parallel to CD.
Therefore, AD=x+95, BC=95 and BE=CD=354 ft
Now in triangle \(ABE\).
\(\tan\theta=\dfrac{\text{Opp}}{\text{Adj}}\)
\(\tan76^{\circ}=\dfrac{AE}{BE}\)
\(AE\approx 4.01\times 354\)
\(AE\approx 1419.54\)
The height air balloon is 1419.54+95 =1514.54 ft
Hence, the height of the hot air balloon is 1514.54 feet approximately.
acid solution a has a 50% acid concentration, and acid solution b has a 20% acid concentration. how many ounces each of solution a and solution b must be mixed to produce 100 ounces of an acid solution with a 41% acid concentration?
Solution a needed 70 ounces and solution b needed 50 ounces
What does "1 ounce" mean?
One ounce weighs 437.5 grains or 28.349 grams and is a sixteenth of a pound (avoirdupois) of weight.
One ounce, abbreviated "oz," equals 480 grains, or 31.103 grams, and is one-twelfth of a Troy or Apothecaries' pound in weight. abbreviation for fluid ounce. a tiny amount or percentage.
So, let x=the of ounces of the 50% acid solution. The total volume after both are mixed is 100 ounces so the amount of the 20% solution will be 120-X. The equation will therefore be:
50% * x + 20% * (100-x) = 41% * 100
Dropping the ‘%’ we get
50x + 2000 - 20x = 4100
30x = 2100
x = 2100/30 = 70
Hence 70 ounces will be needed
Solution a = 70 ounces
Solution b = 50 ounces
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How do you find the center and scale factor of a dilation?
Center point of dilation is a fixed point in a plane about which all the points of the figure expanded or contract. And scale factor of a dilation is the ratio of new formed image to the old given image.
Explanation:
Center of a dilation is considered as a fixed point in the given plane.Around the center point of dilation all the points of the given and new figure expanded or contracts.Translate the center of dilation and the given figure , now origin becomes the center and translate back to get the center of dilation.Scale factor can be calculated as the ratio of the dimension of the new image formed to the dimensions of the old given image.If new or old images not defined then ratio of larger to the smaller image gives the scale factor.Therefore, the center of the dilation can be find using the translation and scale factor can be calculated using the ratio of the new to the old images.
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real life application of APPROXIMATION
Answer:
Numbers and calculations are approximated by rounding off. Examples are if there is an answer as 76.89 then it is approximated and considerd as 77. We use approximation in day to day life for the rough calculations of numbers and math.
Answer:
We use approximation when we try to figure out the time it would take to reach a certain place by car. When you're shopping in the grocery store and trying to stay within a budget, for example, you estimate the cost of the items you put in your cart to keep a running total in your head.A ____________ can be used to help us determine the extent of how much an outcome is achieved.
A metric can be used to help us determine the extent of how much an outcome is achieved.
What is metric?A metric is a quantifiable gauge that is employed to assess, scrutinize, and appraise diverse facets of a system, procedure, or outcome. It furnishes a standardized and unbiased approach to gauge and monitor performance or advancement towards particular objectives or goals. Metrics are commonly formulated based on precise criteria or prerequisites and can manifest as numerical or qualitative in essence.
They find application in various domains such as commerce, finance, science, engineering, and myriad others to evaluate performance, facilitate well-informed decisions, and oversee progress over time.
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A bag of chocolate mix that weighed 1/4 of a kilogram could make enough brownies to feed 1/7 of the students at school. How many bags would be needed to feed all of the students?
Answer:
1/28 kilo
Step-by-step explanation:
sb help me on my recent please
Pls help me solve this equation
Answer:
a
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 )
here m = \(\frac{1}{3}\) , then
y = \(\frac{1}{3}\) x + c ← is the partial equation
to find c substitute (6, 4 ) into the partial equation
4 = 2 + c ⇒ c = 4 - 2 = 2
y = \(\frac{1}{3}\) x + 2 ← equation of line
A large bag contains the following marbles:
40 blue marbles
8 green marbles
16 yellow marbles
21 white marbles
Tyra selects a marble from the bag at random. Based on the information, which statement is true?
A.
The correct option for the large bag contains marbles:
A: The marble she selects is twice as likely to be yellow as it is to be green.B: She chooses a marble that has a higher probability of being blue than any other color put together.Explain about the multiple of the number?Multiples are the outcomes of multiplying a numeral by a specific number in mathematics. Examples of multiples of 5 include 10, 15, 20, 25, 30, and cetera.Multiply the integer even by whole number to discover its multiples. For instance, 15 is the third multiple of 5 since 5 3 = 15. The first five multiples of 4 include, for instance, 4, 8, 12, 16, and 20. The first multiple of 4 is 4 since 1 4 = 4.The given question:
marbles in the bag:
40 blue marbles
8 green marbles
16 yellow marbles
21 white marbles
One marble is selected by Tyra.
Then, the correct option are-
A: There is a two to one chance that the marble she chooses will be yellow rather than green.
16 yellow marbles = 2* 8 green marbles
B: Compared to all the other colors combined, the stone she chooses is more likely to be blue.
40 blue marbles have the highest number.
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The complete question is-
A large bag contains the following marbles: •
40 blue marbles
8 green marbles
16 yellow marbles
21 white marbles
Tyra selects a marble from the bag at random. Based on the information, which statement is true?
A The marble she selects is twice as likely to be yellow as it is to be green.
B.The marble she selects is more likely to be blue than all the other colors combined.
C. The marble she selects is equally likely to be yellow or white
D. The marble she selects is three times as likely to be white as it is to be green.
Find the outer perimeter of this figure. Round
your answer to the nearest hundredth. Use
3.14 to approximate pi.
P = [ ? ] ft.
Answer:
61.90 ft
Step-by-step explanation:
Perimeter: the boundary that surrounds a shape
1) Find the perimeter of the semicircle using this formula: \(\frac{1}{2} *2\pi r\), where \(r\) is the radius, and π is 3.14 (according to the question).
1.1) We need to find the radius first.
Radius = Diameter ÷ 2
So, 10 ÷ 2 = 5
1.2) Input the values into the semicircle formula.
\(\frac{1}{2} *2(3.14)(5)\)
1.3) solve for the perimeter of the semicircle.
\(\frac{1}{2} *31.4\)
= 15.7
2) Find the perimeter of the triangle and the rectangle.
= \(6 + 12.2 + 14 + 14\)
= 46.2
3) Add them.
= \(46.2 + 15.7\)
= 61.9 ft
3) Round the answer (61.9) to the nearest hundredth (according to the question).
= 61.90 ft
As per the total length of the arc of a semicircle, the outer perimeter of this figure is 61.9 feet.
What is the total length of the arc of a semicircle?A semicircle that has a radius of 'r' units, has the total length of it's arc is
= πr units
In the given figure, the semicircle has a diameter = 10 feet.
Therefore, the radius of the semicircle
= 10/2 feet
= 5 feet
Now, the total length of it's arc is
= πr units
= 3.14 × 5 feet
= 15.7 feet
Therefore, the outer perimeter of this figure is
= (12.2 + 6 + 14 + 15.7 + 14) feet
= 61.9 feet
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8.3 is equal to -----------hundredths
Answer:
830
Step-by-step explanation:
Answer: it would be 83 hundredths
Step-by-step explanation:
8.3x10 = 83
ABCD is a rectangle. Given that the measure of BCE = 21 what is the measure of DCE. D is on the left bottom of the rectangle and A is on the left top. ( could show them because I had to crop it. )
Step-by-step explanation:
BCE+DCE=90
BCE WHICH IS 21
So, 21+DCE=90
GROUPING OF LIKE TERMS
DCE=90-21
DCE=69
please help me with this question!
Answer:
\(height = \frac{12 - 8}{2} = 2 \\ area = \frac{(12 + 8) \times 2}{2} = 20\)