Answer: \(3\frac{2}{3}\)
Step-by-step explanation:
√54/6+2/3=
√9+2/3 =
3 + 2/3
3 2/3
In a school 3/5 of children are boys and the number of girls is 2000. Find the number of boys.
300
3000
400
4000
Answer:
3000
Step-by-step explanation:
Answer:
the answer is 3000
Step-by-step explanation:
5000 -2000=3000
Find zα/2 for 80%, 98%, and 99% confidence levels. (It may help to draw the curve and identify α/2 in each tail.)
The zα/2 for 80%, 98%, and 99% confidence levels are 1.282, 2.326 and 2.576, respectively
How to determine the zα/2 for 80%, 98%, and 99% confidence levelsFrom the question, we have the following parameters that can be used in our computation:
80%, 98%, and 99% confidence levels
The critical values for all confidence levels are fixed and constant values that can be determined using critical table
From the critical table of confidence levels, we have
zα/2 for 80% confidence level = 1.282zα/2 for 98% confidence level = 2.326zα/2 for 99% confidence level = 2.576Read more about confidence level at
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A builder bought 47 1/2 acres of land and divided it into lots of 2 1/2 acres each. How many lots were
there?
Answer:
19 lots
Step-by-step explanation:
i took my exam and it was right
What is the answer to 6+4tothe3power-1tothe8power
Answer:
69
Step-by-step explanation:
6+64-1
=69
............
−3(2x+7)=12x
what is x?
Step-by-step explanation:
x equals negative 1 and one over 6 or 7 / 6 or 1.16 with a hat on top
two-thirds of the global population within an eight-hour flight distance and have captured a significant market share over the last few years
The findings indicate that just 11% of the world's population used air travel in 2018, with less than 4% of those trips being international. In developed nations alone, about half of the population travels by air at least once a year.
Believe it or not, less than 20% of people on the planet have ever taken a single trip. In Asia alone, 100 million individuals will take their first flight this year alone.
Keep in mind that flights more than 6 hours are considered long-range, while trips longer than 10 hours are also not unusual. In the event of unforeseen turbulence, it's crucial to always have your seat belt secured.
Flight durations during the duty periods are limited to a maximum of 8 hours for one-pilot flight crews and 10 hours for two-pilot flight crews. Any additional commercial flying that the flight crew does during the allotted 8 or 10 hours of flight time is included.
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how many ways are there to choose a dozen apples from a bushel containing 20 indistinguishable delicious apples, 20 indistinguishable macintosh apples, and 20 indistin- guishable granny smith apples, if at least three of each kind must be chosen
There are 3,060 ways to choose a dozen apples from a bushel containing 20 indistinguishable Delicious apples, 20 indistinguishable McIntosh apples, and 20 indistinguishable Granny Smith apples, if at least three of each kind must be chosen.
What is the concept of combinations?
In mathematics, combinations refer to the selection of items from a larger set without considering the order of selection. Combinations are a way to count the number of possible subsets or groups that can be formed from a given set, where the order of the elements within the subset does not matter.
To determine the number of ways to choose a dozen apples, we can use the concept of combinations. Since at least three of each kind must be chosen, we consider three cases: choosing exactly three of each kind, choosing four of one kind and three each of the other two kinds, and choosing five of one kind and three each of the other two kinds.
Case 1: Choosing exactly three of each kind:
We choose 3 Delicious apples, 3 McIntosh apples, and 3 Granny Smith apples, leaving 3 more apples to be chosen from any of the remaining varieties. The number of ways to choose these 3 apples is given by the combination formula: C(3, 3) = 1.
Case 2: Choosing four of one kind and three each of the other two kinds:
We choose 4 Delicious apples, 3 McIntosh apples, and 3 Granny Smith apples. The remaining 2 apples can be chosen from any of the three varieties. The number of ways to choose these apples is given by: C(3, 2) = 3.
Case 3: Choosing five of one kind and three each of the other two kinds:
We choose 5 Delicious apples, 3 McIntosh apples, and 3 Granny Smith apples. The remaining apple can be chosen from any of the three varieties. The number of ways to choose this apple is given by: C(3, 1) = 3.
Therefore, the total number of ways to choose a dozen apples is: 1 + 3 + 3 = 7.
However, since the apples of the same variety are indistinguishable, the order of selection does not matter. Hence, we need to divide the total by the number of permutations of the chosen apples. In this case, we have 12 indistinguishable apples, so the number of permutations is 12!.
Thus, the final number of ways to choose a dozen apples is: 7 / 12! ≈ 3,060.
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A train passes two cars moving in the direction at 45km/hr and 50km/hr in 36 sec and 54 sec respectively. What is the length of the train?
Let the speed of the train be v km/hr and its length be l meters. The first car is moving at 45 km/hr while the second car is moving at 50 km/hr. Therefore, the speed of the train relative to the first car = (v - 45) km/hr. Similarly, the speed of the train relative to the second car = (v - 50) km/hr.
Using the formula distance = speed × time, we can calculate the distances covered by the train in passing each car. For the first car, the distance covered is l and the time taken is 36 seconds. Therefore, distance = speed × time gives us l = (v - 45) × (36/3600) km. For the second car, the distance covered is l and the time taken is 54 seconds. Therefore, distance = speed × time gives us l = (v - 50) × (54/3600) km.
Equating both these expressions for l, we get:(v - 45) × (36/3600) = (v - 50) × (54/3600)Simplifying this expression, we get v = 75 km/hr. Now we can substitute this value of v into either of the expressions for l that we derived earlier and get the length of the train. Using the first expression, we get: l = (v - 45) × (36/3600) km= (75 - 45) × (36/3600) km= 0.4 km= 400 meters Therefore, the length of the train is 400 meters. The length of the train is 400 meters. To solve this question, we first need to understand that the train passes two cars that are moving at different speeds. Using the relative speeds of the train and each car, we can set up two equations for the distances covered by the train in passing each car. Equating these expressions for the distances, we can solve for the speed of the train. Finally, substituting this value of the speed into one of the expressions for the distance covered by the train, we can find the length of the train.
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What does the subtraction of 7 from 9 mean?
Answer:
Step-by-step explanation: -2
The subtraction of 7 from 9 means -2.
What is subtraction?Subtraction is a mathematical operation. Which is used to remove terms or objects in the expression.
Given:
Subtraction of 7 from 9.
The value,
= 7 -9
= -2.
Therefore, the value of an expression is -2.
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What is 5+5x•40 if x equals 5
Given vector u = ⟨−3,−2⟩ and v = ⟨1,−5⟩,determine the value of u - 2v in component form.
The component form of the linear combination of the two vectors is u - 2v = < -5, 20>
How to find the vector u - 2v?Here we have the two vectors: u = <-3, -2> and v = <1, -5> We want to determine the value of the linear combination:
u - 2v
To do that we just add the correspondent components, then we get:
u - 2v = <-3, -2> - 2*<1, -5>
= <-3, -2> - <2*1, 2*-5>
= <-3, -2> - <2, -10>
= < -3 - 2, -2 -(-10)>
= < -5, 20>
That is the component form of the linear combination.
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Normal faults assume a more shallow dip angle with depth; when the fault plane becomes nearly horizontal, these faults are termed ____________.
Normal faults assume a more shallow dip angle with depth; when the fault plane becomes nearly horizontal, these faults are termed as thrust fault.
Since,
A reverse fault in which the dip of the fault plane is so small as to be almost horizontal is called thrust fault. In thrust faults, the hanging wall moves almost horizonatlly over the footwall.
Hence,
Normal faults assume a more shallow dip angle with depth; when the fault plane becomes nearly horizontal, these faults are termed as thrust fault.
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Select the procedure that can be used to show the converse of the
Pythagorean theorem using side lengths chosen from 6 cm, 8 cm, 9 cm, and
10 cm.
Answer:
\(\boxed{\textsf{ Sides are \textbf{ 6cm , 8cm and 10cm }.}}\)
Step-by-step explanation:
Some sides are given to us and we need to show the converse of Pythagoras Theorem . So the statement of Converse of Pythagoras Theorem is ,
Converse of Pythagoras Theorem :-
If in a triangle the sum of squares of two sides is equal to the square of third side then the angle opposite to the longest side is 90° .
For complete solution kindly refer to the attachment.
5. Cooking oil costs $5.89/kg. How much oil is there if the total cost is
$17.92?
Answer: $3.04
Step-by-step explanation:
Given: 9x>-36.
Choose the solution set.
O [xlx>-4)
O'{x1x<-4}
O [xlx>4)
O [xlx<4)
The outboard motor company can produce 50 motors in four weeks assuming a direct variation how many motors can the company produce in 10 weeks?
Answer:
If the outboard motor company can produce 50 motors in four weeks assuming a direct variation, we can use the formula y = kx, where y is the number of motors produced, x is the number of weeks, and k is the constant of variation. To find k, we can divide y by x: k = y/x = 50/4 = 12.5.
Now we can use this value of k to find how many motors the company can produce in 10 weeks: y = kx = 12.5 * 10 = 125. Therefore, the company can produce 125 motors in 10 weeks assuming a direct variation.
CORRECT=BRAINLIEST plzzz help
Answer:
Coefficients are 20, 6, 2 and 7
Your variables are your letters in the equations so x and y are your variables in this case.
Your constants are the same as your coefficients I believe (I will include images so you can be sure)
Your terms are what are in between the signs so 20, 6x, 2y and 7
Here you go henderson :)
6.The percents of three types of tickets collected at the gate for a high school football game are shown.
a.Write the percents as decimals and as fractions.
b.There is one other type of ticket that is not shown. It is a ticket for a child under 5. What percent of the tickets were of this type?
The percentage of three types of tickets collected at the gate:
ai) student's ticket as a percent: 48%, as a fraction: 48/100, and as a decimal: 0.48.
aii)Adult's ticket as a percent:28%, as fraction:28/100, and as decimal: 0.28.
aiii) Senior's( 65 and older) ticket: 14%, as fraction:14/100 and as decimal: 0.14.
b)Tickets for children under 5years is: 10%, as fraction:10/100, and as decimal: 0.10.
what is percentage?
This is a number written as a ratio of a hundred or as a fraction of a hundred. it is represented with "%".
How to calculate the percentages:
.As a fraction: Write it as a ratio of a hundred.
ticket type for
i) students48% =48/100
ii)Adult 28%=28/100
iii)Senior's( 65 and older)14% =14/100
.As a decimal: Write it as a ratio of hundred then divide by hundred.
ticket type for:
i) students48% =48/100=0.48
ii)Adult 28%=28/100=0.28
iii)Senior's( 65 and older)14% =14/100=0.14
b)To calculate the percentage of tickets of children under 5 years:
Percent(% )means 100
Therefore,
100 - student ticket %- Adult's ticket % - Senior's( 65 and older) ticket%
100- 48 - 28 - 14 = 10%
Thus for children under 5 years,
i)As percent is:10%,
ii)as fraction:10/100
iii)decimal: 0.10.
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A business study claimed that in any given month, for every 3 cars sold by Ford, 5 cars are sold by Subaru. How many cars will be sold by Ford if Subaru sells 10 cars?
And Can you identify a unit rate? Note: The unit rate can be for either manufacturer.
Also Does the ratio of cars sold by Ford and Subaru indicate a proportionāl relationship? Why or why not?
Answer:
b
Step-by-step explanation:
Tienes 12 personas Todas pesan exactamente lo mismo Menos 1 persona que pesa un poco más o un poco menos Dispones de una balanza y puedes pesar 3 veces Quien es el que pesa distinto
Answer:
El que pesa distinto es aquel que causa un desnivel en la balanza.
Step-by-step explanation:
Sabemos que una balanza tiene dos lados en los cuales podemos poner peso, si la balanza está equilibrada, ambos lados están a la misma altura, de lo contrario, habrá un desnivel entre ambos lados.
Puesto que solo podemos emplear la balanza 3 veces, debemos crear tres grupos de cuatro personas, que dentro de cada una cada mitad, conformada por dos personas, es colocada en un lado de la balanza. Si la balanza está equilibrada, entonces todo ese grupo está integrado por personas del mismo peso, pero si esta desequilibrada, una persona de alguno de los dos subgrupos.
En ese caso, se procede a sacar a dos personas, una por cada lado de la balanza, si el desbalance desaparece, entonces alguna de las dos personas que salió tiene un peso distinto, pero si el desbalance persiste, entonces es causante del desbalance se encuentra en aún en la balanza.
En conclusión, el que pesa distinto es aquel que causa un desnivel en la balanza.
find the equation of the line through the points (−9,3) and (−6,−3).
The equation of the line through the points (−9,3) and (−6,−3) is y = -2x - 15.
To find the equation of the line through the points (−9,3) and (−6,−3), we use the point-slope formula given as
`y - y1 = m(x - x1)` where `m` is the slope of the line and `(x1, y1)` is the coordinates of a point on the line. The slope of the line can be found using the formula:
m = (y2 - y1) / (x2 - x1)Here, (x1, y1) = (−9,3) and (x2, y2) = (−6,−3)
Substitute the values in the formula, m = (-3 - 3) / (-6 + 9) = -6/3 = -2.Therefore, the slope of the line is -2.Now, we need to use one of the given points, say (−9,3), and the slope, m = -2, in the point-slope formula to find the equation of the line.y - y1 = m(x - x1)Here, (x1, y1) = (−9,3).
Substitute the values in the formula,y - 3 = -2(x - (-9))y - 3 = -2(x + 9)y - 3 = -2x - 18y = -2x - 18 + 3y = -2x - 15
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Find the value of c (x-2) is a factor of the polynomial p(x). P(x)=x^3-4x^2+3x+c
Answer:
c = 2
Step-by-step explanation:
P(x)=x^3-4x^2+3x+c
The polynomial has x - 2 as a factor
Rewriting the polynomial as:
x^3-4x^2+3x+c = x^3 - 2x^2 - 2x^2 + 4x - x + c =x^2(x - 2) - 2x(x - 2) - (x - c)As we see the first 2 terms have (x -2) as a factor, so the third term:
(x - c) = (x - 2) c=2Answer is c= 2
it is an math question i am doing my paper i need help 7 class question
factorize: a²-100
Answer: (a + 10)(a - 10)
HELP IM DESPERATE FOR THE ANSWER!!!
Answer:
123 cm²
Step-by-step explanation:
Refer to attachment.
Hope it helps :)
are there any other variables that explain the association between binge-watching tv and irritability?
Internal validity explains the association between binge-watching tv and irritability.
In the context of a specific study, internal validity refers to how strongly a piece of evidence supports a claim regarding cause and effect. It is one of the most crucial characteristics of scientific research and a crucial idea when considering evidence more generally.
The extent to which alternative explanations for a study's findings (often, sources of systematic error or "bias") can be ruled out is a measure of its internal validity. In contrast, external validity measures how well data support judgments made regarding other situations (that is, the extent to which results can be generalized).
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What are 2 properties of cheese that make it addictive?
The presence of casomorphins and the stimulation of dopamine release, contribute to the addictive nature of cheese, making it difficult to resist for many individuals.
Cheese possesses two properties that contribute to its addictive nature. Firstly, cheese contains casein, a protein found in milk, which breaks down during digestion to produce casomorphins. Casomorphins are opioid-like substances that can bind to the brain's opioid receptors, leading to feelings of relaxation and pleasure. This mechanism is similar to the effects of addictive drugs, reinforcing the craving for cheese.
Secondly, cheese is rich in fat, particularly saturated fats. These fats have been shown to stimulate the release of dopamine, a neurotransmitter associated with pleasure and reward, in the brain. The combination of the creamy texture and the release of dopamine creates a pleasurable sensory experience, further enhancing the appeal of cheese.
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A driver receives -25 points for a rule violation. What integer represents the change in points after four rule violations?
Answer:
It would be -100
Change each algebraic expression to a verbal expression.
1. A+B = 10
2. 4x - y = a
Answer:
1. A letter, A, added to a letter, B, equals ten.
2. A letter, x, which is multiplied by 4, then has a number, y, subtracted from it to equal a letter, a.
If you try write these out, I'm sure you'd get the algebraic expression given.
simplify fully please
Answer:
8x² + 8
Step-by-step explanation:
Given
(x² + 3)² - (x² - 1)² ← expand both factors using FOIL
= \(x^{4}\) + 6x² + 9 - (\(x^{4}\) - 2x² + 1) ← distribute by - 1
= \(x^{4}\) + 6x² + 9 - \(x^{4}\) + 2x² - 1 ← collect like terms
= 8x² + 8
Answer:
-8(x^2 - 1)
Step-by-step explanation:
(x^2 + 3)^2 and (x^2 - 1)^2 are both squares of binomials. The first step here is to expand both:
-(x^2 + 3)^2 = -x^4 - 6x^2 - 9
(x^2 - 1)^2 = x^4 - 2x^2 + 1
Combine the two right-hand expressions, obtaining:
-8x^2 - 8 or -8(x^2 - 1)
This -8(x^2 - 1) is the simplest form of the given expression.
If desired, -8(x^2 - 1) can be factored: -8(x - 1)(x + 1)
question one-half cup of black beans provides 15% of the potassium you need daily. you must get the remaining 2890 milligrams from other sources. how many milligrams of potassium should you consume daily? question one-half cup of black beans provides 15% of the potassium you need daily. you must get the remaining 2890 milligrams from other sources. how many milligrams of potassium should you consume daily?
The amount of potassium you should consume daily is 510 miligrams if 15 percent of potassium you daily need.
Let the total amount of sources of nutrient you consumed daily be x miligrams.
According to the given question.
One-half cup of black beans provides 15 percent of the potassium.
Also, you get remaning nutrients from 2890 miligrams of other sources.
⇒ you get 85 percent of remaining nutrients from other sources.
So, we can say that
85 percent of x = 2890 miligrams
⇒ 85/100 × x = 2890 miligrams
⇒ x = (2890 × 100)/85
⇒ x = 3400
So, the total amount of source of nutrients is 3400.
Therefore,
The amount of potassium you should consume daily
= 15 percent of 3400
= (15/100) × 3400
= 15 × 34
= 510 miligrams
The amount of potassium you should consume daily is 510 miligrams if 15 percent of potassium you daily need.
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