Answer: Is only definable if you can show the table but according to a valid explanation it would be most likely 41
Step-by-step explanation:
Lets say Bob has 17 strawberry, 19 Cola, and 4 blueberry, we can infer there is an equal amount of gumballs of each flavor in the machine; Before bob bought any gumballs there were 180 and if there were only 3 flavors we would divide 180 by 3 and get 60. That means each flavor has 60 of its own flavor and if we take 19 from the 60 cola flavored we can get 41.
LB =
Round your answer to the nearest hundredth.
B
?
CT
5
4
A
C
3
Measure of angle B is 36.87°.
What are Trigonometric Functions?Trigonometric functions are defined as the real functions or the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.
Given is a right angled triangle.
We have to find measure of angle B.
Cosine of an angle in a right angled triangle is equal to the ratio of it's adjacent side to the hypotenuse.
Hypotenuse = AB = 5
Adjacent side to B = CB = 4
Cos B = 4/5
∠B = Cos⁻¹ (4/5)
= 0.6435 radians
= 36.87°
Hence the measure of the angle B is 36.87°.
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factorize this: 12x²y_6x²
The factored form of 12x²y - 6x² is 6x²(2y - 1).
How to factorise?The expression to be factorise is as follows: 12x²y - 6x².
Factorisation is the is defined as the breaking down of an entity . Factorisation simply implies we decompose the expression.
Therefore,
12x²y - 6x²
let's find the factors of 12x²y and 6x².
Hence, the factors are 6x²
12x²y - 6x² = 6x²(2y - 1)
Therefore, the factored form is 6x²(2y - 1)
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Problem
Aurelia has a coin that she suspects is unfair. She wants to test
H
0
:
p
=
0.5
H
0
:p=0.5H, start subscript, 0, end subscript, colon, p, equals, 0, point, 5 versus
H
a
:
p
≠
0.5
H
a
:p
=0.5H, start subscript, start text, a, end text, end subscript, colon, p, does not equal, 0, point, 5, where
p
pp is the proportion of flips that this coin lands showing heads.
She flipped the coin
100
100100 times and it landed showing heads
43
4343 of those times.
Which of the following represents the P-value for Aurelia's test?
The correct option is C, P - value is 0.0718.
Describe sample percentageA sample proportion in statistics is a measurement of the proportion or percentage of a sample that demonstrates an important characteristic or quality. It is computed by dividing the sample's overall population by the proportion of participants who exhibit the characteristic.
For instance, if a sample of 100 individuals is chosen to estimate the percentage of people who love chocolate ice cream, and 30 of those individuals state that they do, the sample proportion would be 0.3 or 30%, as 30 out of 100 individuals state that they do.
We must first compute the test statistic in order to determine the P-value for Aurelia's test. The test statistic has a typical normal distribution when the null hypothesis is true.
The sample proportion of heads is:
p' = 43/100 = 0.43
The test statistic is:
[tex]z = \frac{(p' - p)}{ \sqrt{(p(1-p) / n)}}[/tex]
where p is the hypothesized proportion under the null hypothesis, and n is the sample size.
Substituting the given values, we get:
[tex]z = \frac{(0.43 - 0.5)}{/ {sqrt(0.5 \times 0.5 / 100)}} = -1.8[/tex]
Since this is a two-sided test, we need to find the area under the standard normal distribution curve in both tails of the distribution that is more extreme than the observed test statistic.
Using a standard normal distribution table, we find that the area to the left of -1.8 is 0.0359. Therefore, the area in both tails is:
P-value = 2 × 0.0359 = 0.0718
So, the correct answer is:
c) 0.0718
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Answer:C
Step-by-step explanation: Kahn Academy
each apple tree produces 48,5 kg apples the apples have an average mass of 165g each
calculate the total number of apples produced by the 200 trees
Give your answer correct to the nearest 1000 apples
5 additional trees give maximum yield and 35 trees per acre will give largest crop of apple.
Let's assume that, we are planting x apple trees extra per acre. So, net 10x apple will be less.
Let say, total number of apples = y
Then, y = (30+x)×(400–10x)
For, optimum number of trees, let's do the differentiation of the above equation with respect to x.
d(y)/d(x) = (400–10x)×1 + (30+x)×(-10)
= 400–10x-300–10x
= 100–20x …………..(1)
For mimima or maxima, the above equation must be equal to 0.
So, 0 = 100–20x
=> x=5
Let's do the second differentiation of equation (1) and substitute the the value of x I.e x=5
[tex]d^2(y)/d(x^2) = -20[/tex]
The above equation is negative for all values of x which indicates that at x=5 we will have the maximum value.
So, the number of trees for maximum apple will be (30+x)
So, 30+5 = 35 trees per acre will give the largest crop of apple.
Hence 5 additional trees give maximum yield and 35 trees per acre will give largest crop of apple.
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Need help with this question urgent please
Answer:
Step-by-step explanation:
-8^8 is -16777216.
-8^5 is -32768.
-16777216/-32768 is 512.
btw, is this bigideas? lol i remember this website
solve the equations y=2x+56 and y=9x
The solution of the linear equations y = 2x + 56 and y = 9x will be (8, 72).
What is the solution to the equation?The possible value of the variables that satisfy the equation which is known as the solution of the equation.
The equations are given below.
y = 2x + 56 ....1
y = 9x ....2
From equations 1 and 2, then we have
9x = 2x + 56
7x = 56
x = 8
Then the value of the variable 'y' is given as,
y = 9(8)
y = 72
The solution of the linear equations y = 2x + 56 and y = 9x will be (8, 72).
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what is the next number in the series 1\325,1\176,1/88,1/44,1/22
The next number in the series 1\325,1\176,1/88,1/44,1/22 is 1/44.
Depending on whether the sequence is finite or infinite, the series might be either infinite or finite.
To find the pattern in the series, we can look at the denominators of the fractions. We can see that the denominators are getting multiplied by 2 in each successive term.
So the next term in the series would have a denominator of 1/11 * 2 = 1/22 * 1/2 = 1/44. Therefore, the next number in the series would be 1/44.
So the complete series is:
1/325, 1/176, 1/88, 1/44, 1/22, 1/44.
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Need help with geometry please help
Answer:31.42 sq.
Step-by-step explanation:
A=2πrh+2πr2A sports club has 140 junior members, 695 adult members, and 210 senior members. What is the probability that the first member selected at random will not be a senior member?
Answer: The total number of members in the club is 140 + 695 + 210 = 1,045.
The number of non-senior members is 140 + 695 = 835.
The probability that the first member selected at random will not be a senior member is 835 / 1,045 = 0.798 or 79.8%.
So, the answer is 0.798 or 79.8%.
Step-by-step explanation:
Consider the following three events for college students:
A={A student is female.}
B={A student has financial aid.}
C={A student finishes his/her undergraduate degree in four years.}
Use symbols to describe the event that a college student is female or has financial aid.
The probability of a college student being either female or having financial aid can be expressed as P(A ∪ B) = P(A) + P(B).
What is Probability?
Probability is a mathematical concept used to measure the likelihood of a particular event occurring. It is a way of expressing the chance or possibility of an event happening, ranging from 0 (impossible) to 1 (certain).
In probability theory, an event is a subset of the possible outcomes of an experiment or a random process. Probability can be expressed in terms of fractions, percentages, or decimals.
The symbol for the event that a college student is female is A, as given in the statement. The symbol for the event that a college student has financial aid is B, as given in the statement.
So, A={A student is female} and B={A student has financial aid}.
These events are mutually exclusive because one does not necessarily affect the other. For example, a male student can have financial aid and a female student may not have financial aid. Hence, the occurrence of one event does not influence the occurrence of the other event.
Therefore, the probability of a college student being either female or having financial aid can be represented as the union of the events A and B. It can be denoted as P(A ∪ B) and is calculated as:
P(A ∪ B) = P(A) + P(B) - P(A ∩ B)
Where P(A ∩ B) represents the probability of a student having both characteristics, i.e., being female and having financial aid.
However, as these events are mutually exclusive, P(A ∩ B) = 0. So the probability of a college student being either female or having financial aid is simply the sum of their individual probabilities:
P(A ∪ B) = P(A) + P(B) - 0
P(A ∪ B) = P(A) + P(B)
Hence, the probability of a college student being either female or having financial aid can be expressed as P(A ∪ B) = P(A) + P(B).
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how to make -0.83333333333
and make it a simple form to be rounded
5/6 rounded to two decimal places is -0.83
What is simplification?
The technique of reducing phrases to expressions that do not cause changes or values is known as simplification.
To simplify -0.83333333333, you can write it as a fraction by dividing -5 by 6:
-0.83333333333 = -5/6
Then, to round it to a certain decimal place, you can use the following rules:
If the digit after the decimal point is 5 or higher, round the previous digit up.If the digit after the decimal point is less than 5, round the previous digit down.For example, if you want to round -5/6 to two decimal places:
The third decimal place is 3, which is less than 5, so you round the second decimal place down: -5/6 rounded to two decimal places is -0.83.To know more about simplification visit,
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Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high temperature of 80 degrees occurs at 5 PM and the average temperature for the day is 60 degrees. Find the temperature, to the nearest degree, at 3 AM.
The temperature at 3 AM is about 53 degrees Fahrenheit.
How would you define temperature?The average kinetic energy of the particles in a medium, such as a gas, liquid, or solid, is measured by its temperature. It is a basic physical characteristic that governs the rate and amount of heat transmission between two bodies that are in thermal contact.
A thermometer is commonly used to measure temperature. It does this by detecting changes in a substance's physical characteristics that change with temperature, such as the expansion or contraction of a liquid or the resistance of a wire.
We are aware that a sinusoidal function models temperature, and the following information is crucial:
A high of 80 degrees is reached at 5 PM, or 17:00 in a 24-hour period.
The day's average temperature is 60 degrees.
We're looking for the temperature at three in the morning, or three in 24-hour time.
We can utilize the fact that the temperature moves through one full cycle in a 24-hour day to determine the frequency. As the time frame is 24 hours, the frequency is:
B = 2π/24 = π/12
To find the phase shift, we can use the fact that the high temperature occurs at 5 PM, which is 8 hours after noon (when the temperature starts to rise). So the phase shift is:
C = (8/24) * 2π = (1/3)π
To find the amplitude, we can use the fact that the temperature swings 10 degrees above and below the average. So the amplitude is:
A = 10
Finally, we can use the formula to find the temperature at 3 AM:
f(x) = A sin(B(x - C)) + D
f(3) = 10 sin(π/12(3 - (1/3)π)) + 60
f(3) ≈ 53.4
So the temperature at 3 AM is about 53 degrees Fahrenheit.
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Find the missing value in the proportion 3/7 = 15/p.
A.21
B.35
C.45
D.75
City A and City B had two different temperatures on a particular day. On that day, four times the temperature of City A was 8A C more than 3 times the temperature of City B. The temperature of City A minus twice the temperature of City B was _3A C. What was the temperature of City A and City B on that day?
City A was 5A C, and City B was 4A C. City A was 3A C, and City B was _1A C. City A was 8A C, and City B was _3A C. City A was 5A C, and City B was _5A C
So the temperature in City A was 8A C and the temperature in City B was y = x + 1 = 8 + 1 = 9A C.
The problem can be solved by setting up an equation using the information given. Let's call the temperature of City A "x" and the temperature of City B "y". We can then write two equations based on the information given:
4x = 3y + 8
x - 2y = -3
We can use substitution to solve for one of the variables and then use that information to solve for the other. For example, we can substitute 3y + 8 for 4x in the second equation:
x - 2y = -3
x - 2y = 3y + 8 - 3
x - 2y = 3y + 5
x - 5y = 5
We can then solve for y by multiplying both sides of the equation by -1/5:
-5x + 5y = -5
5y = 5x + 5
y = x + 1
We can then substitute this expression for y into one of the original equations and solve for x:
4x = 3(x + 1) + 8
4x = 3x + 3 + 8
x = 8
So the temperature in City A was 8A C and the temperature in City B was y = x + 1 = 8 + 1 = 9A C.
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HELP AAHHHHHHH FFASDF
Answer:
Step-by-step explanation:
Kelly is reading a 456- page book. During the past 7 days she has read 168 pages. If she continues reading at the same rate, how many more days will it take her to complete the book?
Answer:
12 Days
What is a ratio?A ratio has two or more numbers that symbolize relation to each other. Ratios are used to compare numbers, and you can compare them using division.
To find the ratio of the problem (days: pages) we can use this equation:
pages read ÷ days it took = pages read each day
Fitting the numbers into the equation:
168 ÷ 7 = 24
So, everyday Kelly reads 24 pages.
To find out how many more days Kelly needs to read, if she reads at the same rate, we can use this equation:
(456 - 168) ÷ 24 = days left
We can use this to check our work:
168 + (24 ×?) = 456
Solving for the first equation:
(456 - 168) ÷ 24 = days left
288 ÷ 24 = 12
Now, we can check our work.
168 + (24 ×?) = 456
Inserting 12 into the equation:
168 + (24 × 12) = 456
168 + 288 = 456
Therefore, to complete the book it will take Kelly 12 more days.
You buy 1 box of dog food and 2 cans of cat food for $23. Your friend buys 2 boxes of dog food and 1 can of cat food for $22. What is the cost of each box of dog food?
One box of dog food costs $7, while one can of cat food costs $8.
What is an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It illustrates that the expressions printed on the left and right sides have an equal relationship.
Some of the components of an equation are coefficients, variables, operators, constants, terms, expressions, and the equal to sign. When expressing an equation, the "=" symbol and terms on both sides are a need.
Given data ,
Let the price of a single box of dog food at x.
Let's say the price of one can of cat food is y.
The cost of 1 box of dog food and 2 cans of cat food is = $ 23
One can of cat food and two boxes of dog food cost $22, total.
So , the equation will be
1x + 2y = 23 ....... (1)
2x + 1y = 22 ....... (2)
Equation (1) is multiplied by 2 to get
2x + 4y = 46 ....... (3)
When equation (2) is subtracted from equation (3), we obtain
3y = 24
value of y is obtained by dividing both sides by 3,
y = $ 8
Equation (1) can be solved by substituting the value of y.
x + [tex]2*8[/tex] = 23
x + 16 = 23
16 is subtracted from both sides, giving us
x = $ 7
Therefore , the value of x is $ 7 and value of y is $ 8
Thus, one package of dog food costs $7, while one can of cat food costs $8.
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The planet Neptune orbits the Sun. Its orbital radius is 30.1 (AU)
Assuming Neptune's orbit is circular, what is the distance it travels in a single orbit around the Sun?
Give your answer in terms of π
Write a quadratic function in standard form whose graph satisfies the given condition(s). 13. vertex: (-9, -4)
Answer:
Tech 9 rock and no answer
Step-by-step explanation:
There are 10 people in a group. 3 are red and 7 are blue. They vote yes or no.
What is probability that all 3 red people vote no and all 7 blue people vote yes?
Answer:70% chance they vote yes
Step-by-step explanation:
Answer:
3/10 for red people and 7/10 for blue people.
Step-by-step explanation:
70% of ____ is 14.
O 10
O 20
O 30
O 50
Answer:
20
Step-by-step explanation:
snajakskdmcjwiwjcjf
Answer:
20
Step-by-step explanation:
70% is 70/100 = 0.70
20 x 0.70 = 14
1. Dante mixes 30 milliliters of one liquid with 2 centiliters of a second
liquid. How many centiliters of liquid does he have altogether?
A. 5 cL
B. 32 cL
C. 50 CL
D. 302 CL
The total volume in centiliters is 5 cL, then the correct option is A.
How many centiliters of liquid does he have altogether?Here we know that Dante mixes 30 mililiters of one liquid with 2 centiliters of a second liquid, and we want to find the total volume in centiiters.
We know that:
1 milliliter = 0.1 centiliters.
Then:
30 mililiters = 30*( 0.1 centiliters) = 3 centilters.
Then the sum of the two volumes is:
3 centiliters + 2 centiliters = 5 centiliters.
Then the correct option is A.
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The answer is A. 5 cL.
What is liquid?Liquid is one of the three states of matter, alongside solid and gas. It is a form of matter that has a definite volume, but not a definite shape. Liquids take the shape of their container and are able to flow and be poured.
First, we need to convert 30 milliliters to centiliters, which is 3 centiliters (since 1 centiliter = 10 milliliters).
Then, we can add the 3 centiliters to the 2 centiliters of the second liquid to get a total of 5 centiliters.
Therefore, the answer is A. 5 cL.
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what is 3 1/2x - 5 1/2x,x=2/5
Answer:
[tex]-\dfrac{4}{5}[/tex]
Step-by-step explanation:
We have the following expression
[tex]3 \;\dfrac{1}{2} x - 5\;\dfrac{1}{2}x[/tex]
and asked to evaluate this expression at [tex]\[x = {2\over\displaystyle 5\][/tex]
First convert [tex]3 \; \dfrac{1}{2}[/tex] and [tex]5 \; \dfrac{1}{2}[/tex] to mixed fractions
[tex]3 \; \dfrac{1}{2} = \dfrac{3 \times 2 + 1}{2} = \dfrac{7}{2}\\[/tex]
[tex]5 \; \dfrac{1}{2} = \dfrac{5 \times 2 + 1}{2} = \dfrac{11}{2}[/tex]
Therefore
[tex]3 \;\dfrac{1}{2} x - 5\;\dfrac{1}{2}x\\\\= \dfrac{7}{2}x - \dfrac{11}{2}x\\\\= \dfrac{7 - 11}{2} x\\\\= -\dfrac{4}{2}x \\\\= -2x\\\\[/tex]
[tex]\mathrm{For \;x =\dfrac{2}{5}},\\\\= -2x \\= - 2 \times \dfrac{2}{5}\\\\= -\dfrac{4}{5}[/tex]
Pls help can u please answer 4 and 5
4A. The number of whole pie shaded are 2
4B . The number of partial pie shaded is 3
4C. The mixed number formed is 2 3/5
5A. The whole number part which is 2 is the quotient
5B. The remainder is 3
What are fractions in math?
In mathematics, a fraction is a number that represents a part of a whole. It consists of two parts: a numerator, which is the part of the fraction that represents the number of parts being considered, and a denominator, which is the number that represents the total number of parts in the whole.
A mixed number is a combination of a whole number and a fraction. It represents a quantity that is greater than the fraction but less than the next whole number.
For example, In the division problem, the dividend is 13 and and the divisor is 5. the division results to mixed number of value 2 3/5.
The mixed number 2 3/5 represents a quantity that is equal to
two whole and three fifths.
converting to improper fractions gives 13/5
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write the equation for the given graph.
The absolute value function on the graph is:
f(x) = -|x + 4| - 5
What is the equation of the absolute value function?Remember that an absolute value function that has a vertex at (a, b) will be written as:
f(x) = |x - a| + b
Here the vertex is at (-4, -5), replacing that in the general formula we will get:
f(x) = |x + 4| - 5
And we also can see that the absolute value function opens downwards with slopes of 1, then there must be a leading coefficient of -1, the actual function is:
f(x) = -|x + 4| - 5
That is the graphed function.
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Which of the following is equal to the square root of the cube root of 5?
Group of answer choices
5 to the power of one third
5 to the power of one sixth
5 to the power of two thirds
5 to the power of three halves
5 to the power of one sixth (5¹/⁶) will be equal to square root of the cube root of 5.
What is the definition of square root?
The square root of a number is a value that, when multiplied by itself, yields the original number. The square root is the opposite of squaring a number. As a result, squares and square roots are ideas that are connected.
If x is the square root of y, it is denoted as x=√y, or the same equation may be expressed as x² = y. √" is the radical symbol used to symbolise the numerical root here. When a positive number is multiplied by itself, it represents the number's square. The square root of a positive number yields the original value.
Now,
Given that square root of the cube root of 5 i.e. √∛5=?
=√5¹÷³
=5¹/²*¹/³
=5¹/⁶
hence,
5 to the power of one sixth (5¹/⁶) will be equal to square root of the cube root of 5.
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53. The cutting tool on a lathe moves 3/128 in. along the piece being turned for each revolution of work. The piece revolves at 45 revolutions per minute. How long will it take to turn a length of 9 9/64-in. Find in one operation?
Using the concept of rates, the machine will complete 9 9/64 inches in 8.67 minutes
How long will it take to turn a particular length
To determine how long it will take to turn a particular length of iron, we can calculate the rate at which it works and it must be in a definite proportion.
If the lathe moves 3/128 in one revolution.
And the machine completes 45 revolutions in 1 minutes, we can determine how many inches in moves in that minute.
3/128 in = 1 rev
x in = 45
45 * (3/128) = 45 revolutions = 1 minute
1.054 inches in 1 minute.
We can further use this to determine the time it takes to move 9 9/64 inches
1.054 inches = 1 minute
9 9/64 inches = x minute
cross multiply both sides and solve
x = 8.67 minutes
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Find the area of the polygon in square units.
The area of the figure is solved to be
10 square unitsWhat is the area of ta kite?The area of a kite is solved using the formula
= P * q / 2
Where
p = length of long diagonal
q = length of short diagonal
Using the figure the length can be traced to be
p = 3 - -5 = 3 + 5 = 5
q = 6 - 2 = 4
Area of the figure
= 5 * 4 / 2
= 20 / 2
= 10 square units
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find the following arc measures
Answer:
m angleJ= 53, m angle JML = 63.5
Step-by-step explanation:
As this is a circle, KJ and KL are radii, which are equal
If we join J and L to form JL, Triangle KJL becomes and isosceles triangle( two sides equal).
That means, the angles J and L are equal (isosceles triangle thm).
Therefore- m angleJ = 180 - 127
m angleJ = 53
Join J and K, and L and K
Another circle theorem- The angle subtended by an arc/chord on the centre is double the angle subtended by the chord on any other point on the circle.
Therefore- angle JML = (1/2)127
So, m angleJML = 63.5
The volume of a cylinder is given by the formula V = ²h
where r represents the length of the radius of the base of
the cylinder and h represents the height of the cylinder.
A cylinder has a volume of 54 m³ and a radius of 3 m.
What is its height, h?
Answer: 0.95m or 3/π
Step-by-step explanation:
Volume of cylinder = 2π[tex]r^{2}[/tex]*h
54 = 2π*9*h
divide 2π*9 on both sides
54/2π*9 = h
54/18π = h
3/π = h
h = 0.95 m
