Answer:
115
Step-by-step explanation:
To find the missing angle all you have to do is add the 2 nonadjacent interior angles which are 75 and 40 to get the exterior angle which is 115.
Hope this helps!:)
How many two digit numbers have 6 and 8 as factors
Answer:
6*8=48
But if you are sayin both positive and negative, then there is two, 48,-48.
Because you multiply -6,8.
Step-by-step explanation:
A online
What type of matter is pure gold
a heterogenous mixture
a homogenous mixture
a compound
an element
Answer:
an element
Step-by-step explanation:
.
Step-by-step explanation:
a ) Heterogenous Mixture
Is the answer
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A coin is tossed, and a die is rolled. What is the probability that the outcome is a head or an even number?
Answer: When a coin is tossed and a die is rolled the probability of getting a head or an even number is = 3/4
Step-by-step explanation:
probability : The ratio of the favorable outcome to the total outcomes is gives the probability.
So for the given case all possible outcomes are = 12(1,H),(1,T),(2,H),(2,T),(3,H),(3,T),(4,H),(4,T),(5,H),(5,T),(6,H),(6,T)
total no of outcomes when there is head on coin are = 6(1,H),(2,H),(3,H),(4,H),(5,H),(6,H)
Total no of outcomes when there is even on dice are = 3(2,T),(4,T),(6,T)
So the total number of favorable outcomes are:6+3 = 9
Total outcomes = 12Therefore the probability is given by 9/12 = 3/4
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Answer: The probability of getting a head or an even number is = 3/4
What is probability?It is the measure of how likely an event or outcome is. Different events have different probabilities!For the given case: Possible outcomes are(1,H),(1,T),(2,H),(2,T),(3,H),(3,T),(4,H),(4,T),(5,H),(5,T),(6,H),(6,T)
So, no. of possible outcomes 12
No. of coin outcomes (when it's head) = 6(1,H),(2,H),(3,H),(4,H),(5,H),(6,H)
No of dice outcomes (when it's even) = 3(2,T),(4,T),(6,T)
So the total number of favourable outcomes are:6+3 = 9
Total outcomes = 12
Probability = \(\frac{No. of favorable outcomes}{total outcomes}\)
Probability for this case is = \(\frac{9}{12} =\frac{3}{4}\)
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Will someone please help <3
Answer:
area of base is 9pi
circumference of base is 6pi
lateral surface 24
surface area is 42
Step-by-step explanation:
4+ 10(5-3) + 4 +62 is what
18
42
21
45
Answer:
18
Step-by-step explanation:
i k
Just todo the test so its tje ansiedad
Plz give step by step explanation on how to solve this not just answer.
Answer:
y = (x + 2)² or y = x² + 4x + 4
Step-by-step explanation:
Consider the functions f(x) = x² and g(x) = x + 2
If y is defined as y = f(g(x)), state the equation for y.
Remember: The inside of the parentheses is done first.
So, we need to find g(x) first, which is x+2.
Now, substitute this into f(g(x)).
f (x + 2)
Now, because f(x) = x², we need to square (x+2)
f (x + 2) = (x + 2)²
(x + 2)(x +2) = x² + 2x + 2x + 4 = x² + 4x + 4
Thus, y = (x + 2)² or y = x² + 4x + 4
Just in case, let's check the answer.
Pretend that x = 3.
Then, g(x) = 5, and f(g(x)) = f(5) = 5² = 25.
Try this with the answer we got:
(x + 2)² = (3 + 2)² = 5² = 25
Or,
3² + 3*4 + 4 = 9 + 12 + 4 = 25
All three of these equations equal 25, so the answer is right.
So, the answer is correct.
I hope this helps! Feel free to ask any questions! :)
A charity is raising money by selling two thousand raffle tickets for $2 each. There is one grand prize worth $500, three secondary prizes worth $200 each, and eight third level prizes worth $20 each. What is the expected value of a $2 ticket? Answer is negative $1.358 but how do you calculate that?
The expected value of a $2 ticket is $0.63
How to determine the expected value of a $2 ticketTo calculate the expected value of a $2 ticket, we need to multiply the probability of winning by the value of the prize, then sum those products:
The Probability of winning the grand prize = 1/2000
Product: (1/2000) x $500 = $0.25
The Probability of winning a secondary prize: 3/2000
Product: (3/2000) x $200 = $0.30
The Probability of winning a third level prize: 8/2000
Product: (8/2000) x $20 = $0.08
The sum of the products:
$0.25 + $0.30 + $0.08 = $0.63
So the expected value of a $2 ticket is $0.63, meaning that on average, a person can expect to win $0.63 for every $2 they spend on a ticket.
The charity is expected to make a profit, which is why the answer is negative.
That is -$2 + $0.63 = -$1.37
So the expected profit for the charity per ticket sold is -$1.37, which is approximately the same as the given answer of negative $1.358(rounding off)
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Find the ratio please help :mathematics
Answer:
answer is 19:13 .............
In a right triangle, sin (x + 10)° = cos (4x - 4)°. Solve for x. Round your answer
to the nearest hundredth if necessary.
The value of variable x is,
⇒ x = 42
We have to given that;
In a right triangle,
⇒ sin (x + 10)° = cos (4x - 4)°
Now, We can simplify as;
⇒ sin (x + 10)° = cos (4x - 4)°
⇒ cos (90 - (x + 10))° = cos (x - 4)°
⇒ 90 - (x + 10) = x - 4
⇒ 90 - x - 10 = x - 4
⇒ 80 + 4 = 2x
⇒ 2x = 84
⇒ x = 42
Thus, The value of variable x is,
⇒ x = 42
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Find the 66th
term in the following
arithmetic sequence
-92, -85, -78, -71, ...
Answer:
The \(66\)th term is \(363\).
Step-by-step explanation:
To find the \(n\)th term, the formula is \(7n - 99\). Since we want to find the \(66\)th term, we can plug \(n\) for \(66\). So our expression is now \(7 \cdot 66 - 99 =\) \(66\)th term. Solving this we have
\(462 - 99 = 66\text{th term}\\363 = 66\text{th term}\\\). Therefore, the \(66\)th term is \(\boxed{363}\).
Answer:
a₆₆ = 363
Step-by-step explanation:
the nth term of an arithmetic sequence is
\(a_{n}\) = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = - 92 and d = a₂ - a₁ = - 85 - (- 92) = - 85 + 92 = 7 , then
a₆₆ = - 92 + (65 × 7)
= - 92 + 455
= 363
Help me please thank you
Answer: AB
Step-by-step explanation:
AB is on the sideways of AD=BC.
I need help with geometry! I need to find x and y, please help asp
Check the picture below.
Determine if the sequence below is arithmetic or geometric and determine
the common difference / ratio in simplest form.
64, 16, 4, ...
The sequence 64, 16, 4,. is geometric
What is an arithmetic sequence?Arithmetic Sequence can simply be defined as a sequence in which the difference between successive or consecutive terms is known as a constant.
The sequence is in the form a, a + d, a + 2d, a + 3d, a + 4d
Where;
a is the first termd is the common difference of the sequenceThe formula for the nth term of an arithmetic sequence is expressed as;
Tn = a + (n – 1)d
What is a geometric sequence?Geometric sequence can simply be defined as a sequence where the ratio of every two consecutive or successive terms is a known constant.
Given the sequence;
64, 16, 4, ...
We can see that the common ratio between the terms is 4 and hence a geometric sequence
Hence, it is a geometric sequence
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how many like terms are in the expression 4j^2 +3j^2-9j^2
Answer: 16j^3+2
Step-by-step explanation:
The length of a rectangle is six times its width.
If the area of the rectangle is 600 in, find its perimeter.
Answer:
140 in
Step-by-step explanation:
x = length
y = width
x = 6y
area = x × y = 600 in² (I hope you forgot to put the ² on the in and not your teacher).
perimeter = 2x + 2y
using the first equation as substitute in the second equation we get
6y × y = 600
6y² = 600
y² = 100
y = 10 in
x = 6y = 6×10 = 60 in
perimeter = 2×60 + 2×10 = 120 + 20 = 140 in
What unknown number makes
this equation true?
356 + 4 = 300 +
PLS HURRY I NEED THE ANSWER FAST!!!!!!
Paula makes purses. The materials cost $2.25 per purse. She sells them for $5.00 each. Paula wants to invest $5000 for some new equipment. Which of these could be used to determine x, the number of purses Paula must sell to pay for the new equipment?
A 5.00x - 2.25x = 5000
B 5.00x + 2.25x = 5000
C 5.00x = 5000
D 2.25x = 5000
The equation that could be used to determine x, the number of purses Paula must sell to pay for the new equipment is;
A. 5.00x - 2.25x = 5000
How to solve equation word problems?We are told the materials costs $2.25 per purse.
She sells the materials for $5 each.
If the number of materials she purchased was x, it means that;
Selling price - Cost price = 5.00x - 2.25x
Now, we are told that she wants to invest $5000 for some new equipment. This means that she must realize at least $5000 in profit from the sales she is making of the materials.
Since the formula for profit is;
Profit = Selling Price - Cost Price
Then, we will have;
5.00x - 2.25x = 5000
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Answer: 5.00x - 2.25x = 5000
Step-by-step explanation:
During the 2008 - 2009 financial crisis, the GDP of the USA reduced from $14.72 trillion in 2008 to $14.42 trillion in 2009. What is the percentage change between these two years? around your answer to the nearest hundredth of a percent.
The percentage change in GDP is 2.04%
Percentage ChangePercentage Change is the difference coming after subtracting the old value from the new value and then divide by the old value and the final answer will be multiplied by 100 to show it as a percentage. Generally, to convert a fraction into a percent, we multiply it by 100.
The formula of percentage change is given as
Percentage change =[ (New increase - old value) / old value] * 100
Percentage change = [(14.72 - 14.42) / 14.72] * 100
Percentage change = 2.04%
In this case, there is a percentage decrease of 2.04%
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Help with math problems
1. The solution to the system of equations is v = -3 and w = 4.
2. The solution to the system of equations is y = 6 and z = -2.
How to solve for -v + w = 7; v + w = 1?To eliminate v, we can add the two equations:
(-v + w) + (v + w) = 7 + 1
2w = 8
w = 4
Substitute w = 4 into one of the equations to solve for v:
v + 4 = 1
v = -3
How to solve for y + z = 4; y - z = 8?To eliminate z, we can add the two equations:
(y + z) + (y - z) = 4 + 8
2y = 12
y = 6
Substitute y = 6 into one of the equations to solve for z:
6 + z = 4
z = -2.
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c) Realiza las operaciones necesarias para encontrar 4 puntos que sean Colineales con el punto A (-3, 1), que pertenece a una recta que tiene m= 3/2. Ubicarlos en el plano cartesiano y encuentra la recta correspondiente.
A partir de la ecuación de la recta, tiene-se que los 4 puntos colineales són: (-1,4), (1,7), (3,10) y (5,13).
La recta correspondiente es:
\(y = \frac{3}{2}x + \frac{11}{2}\)
-------------------------------------
La ecuación de una recta tiene el seguiente formato:
\(y = mx + b\)
En que m es la inclinación.Se puntos son colineales, ellos pertenecem a la misma recta.Esta recta tiene m = 3/2, o sea:
\(y = \frac{3}{2}x + b\)
Colineales con el punto (-3,1), o sea, cuando \(x = -3, y = 1\), y esto es usado para encontar b.\(y = \frac{3}{2}x + b\)
\(1 = \frac{3}{2}(-3) + b\)
\(1 = -\frac{9}{2} + b\)
\(b = \frac{11}{2}\)
Entonces:
\(y = \frac{3}{2}x + \frac{11}{2}\)
Algunos valores de la recta son:
\(y(-1) = \frac{3}{2}(-1) + \frac{11}{2} = -\frac{3}{2} + \frac{11}{2} = \frac{8}{2} = 4\)
\(y(1) = \frac{3}{2}(1) + \frac{11}{2} = \frac{3}{2} + \frac{11}{2} = \frac{14}{2} = 7\)
\(y(3) = \frac{3}{2}(3) + \frac{11}{2} = \frac{9}{2} + \frac{11}{2} = \frac{20}{2} = 10\)
\(y(5) = \frac{5}{2}(3) + \frac{11}{2} = \frac{15}{2} + \frac{11}{2} = \frac{26}{2} = 13\)
Entonces, los cuatro puntos colineales son: (-1,4), (1,7), (3,10) y (5,13).
Estos puntos están marcados en el plano cartesiano en el fin de esta respuesta.
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The value of a machine depreciates at the rate of 10% per annum. It was purchased 3 years ago. If its present value is Rs 43740, find its purchase price.
pls anwer in details! no spam...
Given
present value of the machine : Rs 43,740Rate of depreciation per annum : 10%To find
Purchase value of the machine ( 3 years before )Let the purchase value be P,
ATQ,
P -3 x 0.1P = Rs 43,740
P-0.3P = Rs 43,740
0.7P = Rs 43,740
P = Rs 43,740/0.7
P = Rs 62,486 (approx)
Hence, the purchase value of the machine would be Rs 62,486
The function g is related to one of the parent functions
g(x) = x^2 – 3
The parent function is:
f(x)= x^2
Use function notation to write g in terms of f.
We can write g in terms of f as: g(x) = f(x) - 3 = x² - 3
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range. In simpler terms, a function is a set of rules that takes an input value and produces a corresponding output value.
To write g in terms of f, we can use function composition, which involves plugging the function f(x) into g(x) wherever we see x.
So, we have:
g(x) = f(x) - 3
where f(x) = x².
Substituting f(x) into g(x), we get:
g(x) = (x²) - 3
Therefore, we can write g in terms of f as:
g(x) = f(x) - 3 = x² - 3.
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A 52 foot ladder is set against the side of the house so that it reaches up 48 feet .if jevonte grabs the ladder at its base and pulls it 3 feet farther from the house ,how far up the side of the house will the ladder reach now ? (The answer is not 45ft) round to the nearest tenth of a foot
Please help my daughter is stuck and I can't figure it out thanks
Answer:
Step-by-step explanation:
The way to approach this that makes the most sense to a student would be to find out how far from the house the ladder currently is, then add 3 feet to that and do the problem all over again. This is right triangle stuff...Pythagorean's Theorem in particular. The ladder is the hypotenuse, 52 feet long. The height of the rectangle is the distance the ladder is up the side o the house, 48 feet. We plug those into Pythagorean's Theorem and solve for the distance the ladder is from the house:
\(52^2=48^2+x^2\) and
\(2704=2304+x^2\) and
\(x^2=400\) so
x = 20. Now if we add the 3 feet that the ladder was pulled away from house, the distance from the base of the ladder to the house is 23 feet, the ladder is still 52 feet long, but what's different is the height of the ladder up the side of the house, our new x:
\(52^2=23^2+x^2\) and
\(2704=529+x^2\) and
\(2175=x^2\) so
x = 46.6 feet
The lengths of pregnancies in a small rural village are normally distributed with a mean of 269 days and a standard deviation of 17 days.
In what range would you expect to find the middle 98% of most pregnancies?
Between
299.34
Incorrect229.3 and
303.4
Incorrect308.7.
If you were to draw samples of size 58 from this population, in what range would you expect to find the middle 98% of most averages for the lengths of pregnancies in the sample?
Between
264
Correct and
274.1
Correct.
Enter your answers as numbers. Your answers should be accurate to 1 decimal places.
You would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.
To find the range in which you would expect to find the middle 98% of most pregnancies, you can use the concept of z-scores and the standard normal distribution.
For the given data:
Mean (μ) = 269 days
Standard deviation (σ) = 17 days
To find the range, we need to find the z-scores corresponding to the 1% and 99% percentiles. Since the normal distribution is symmetric, we can find the z-scores by subtracting and adding the respective values from the mean.
To find the z-score for the 1% percentile (lower bound):
z1 = Φ^(-1)(0.01)
Similarly, to find the z-score for the 99% percentile (upper bound):
z2 = Φ^(-1)(0.99)
Now, we can calculate the z-scores:
z1 = Φ^(-1)(0.01) ≈ -2.33
z2 = Φ^(-1)(0.99) ≈ 2.33
To find the corresponding values in terms of days, we multiply the z-scores by the standard deviation and add/subtract them from the mean:
lower bound = μ + (z1 * σ) = 269 + (-2.33 * 17) ≈ 229.4 days
upper bound = μ + (z2 * σ) = 269 + (2.33 * 17) ≈ 308.6 days
Therefore, you would expect to find the middle 98% of most pregnancies between approximately 229.4 days and 308.6 days.
Now, let's consider drawing samples of size 58 from this population. The mean and standard deviation of the sample means can be calculated as follows:
Mean of sample means (μ') = μ = 269 days
Standard deviation of sample means (σ') = σ / sqrt(n) = 17 / sqrt(58) ≈ 2.229
To find the range in which you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample, we repeat the previous steps using the mean of the sample means (μ') and the standard deviation of the sample means (σ').
Now, calculate the z-scores:
z1 = Φ^(-1)(0.01) ≈ -2.33
z2 = Φ^(-1)(0.99) ≈ 2.33
Multiply the z-scores by the standard deviation of the sample means and add/subtract them from the mean of the sample means:
lower bound = μ' + (z1 * σ') = 269 + (-2.33 * 2.229) ≈ 264.0 days
upper bound = μ' + (z2 * σ') = 269 + (2.33 * 2.229) ≈ 274.1 days
Therefore, you would expect to find the middle 98% of most averages for the lengths of pregnancies in the sample between approximately 264.0 days and 274.1 days.
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pls help me with this
science
Answer:
False
Step-by-step explanation:
Mass is how much an object weighs.
Friction is the resistance an object has to being moved.
Answer: False
Step-by-step explanation: Mass is simply described as the amount of stuff there is in a molecule or atom or thing or whatever. The amount of resistance is affected by the amount of mass. However, mass is not JUST the resistance.
A Man bought 5 Crates of 60 of drinks. On his way home, he drank 5 bottles and broke 25 bottles what percentage of the bottles are left?
Answer:50%
Step-by-step explanation:
Write the equation of a vertical line that passes through the point (-3,5)?
Step-by-step explanation:
Then to pick a real number constant c, we use the first piece of information, which is that the point must pass through (3,-5). Plugging this point into our general equation, we have 3 = c, thus the equation defining the line is x = 3.
Please solve the equation and show it step by step. I have to show my work and I suck at that!
12m + 100 = 700m
m = 50
The solution to the equation 12m + 100 = 700m is given as follows:
m = 0.1453.
How to solve the equation?The equation in the context of this problem is defined as follows:
12m + 100 = 700m
The variable for which we want to obtain the solution is given as follows:
m.
To obtain the solution, we isolate the variable m, applying inverse operations, as follows:
12m + 100 = 700m
700m - 12m = 100 -> subtraction is the inverse of addition.
688m = 100
m = 100/688 -> division is the inverse of multiplication.
m = 0.1453.
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plz help plz plz help plz
Answer:
2.75
Step-by-step explanation:
PLEAE HELPP WILL MARK BRAINLIEST
Given that my=34°, find the value of the angle b
A 146°
B 56°
C 34°
D 124°
E 68°
Considering the figure the value of angle b is
D 124°How to solve for angle bAccording to the vertical angle theorem, the opposing angles of two crossing lines must have the same value, or be congruent.
hence angle a = angle y
Then from exterior angle of a triangle theorem: If a triangle's side is created, the outside angle that results is equal to the sum of the two opposite internal angles.
angle b = angle a + 90
= 34 + 90
= 124 degrees
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