Answer:
After 5 months, she will save the same amount using either option.
She would have saved $450 with either option.
Step-by-step explanation:
Set up expressions to represent the amount of money saved for each saving option, where x is the number of months
The first one can be represented by 30x + 300
The second one can be represented by 50x + 200
Set these equal to each other and solve for x:
30x + 300 = 50x + 200
300 = 20x + 200
100 = 20x
5 = x
So, after 5 months, Tina will save the same amount of money with both options.
To find how much she will save, plug in 5 as x into either expression:
30x + 300
30(5) + 300
150 + 300
= 450
So, she would have saved $450 with either option.
The area of a square flowerbed is 1.21 square yards. What is the length of each side?
Answer:
Answer is 3.306
Step-by-step explanation:
4/1.21 becasue its a square it is 4 divided by 1.21
solve the equation
13d+8=-1
Answer:
I hope this works
Step-by-step explanation:
look at the picture
i need help plsQuestion 2(Multiple Choice Worth 2 points) (Likelihood MC) In an experiment with a bag of marbles, P(green) = three fourths. Interpret the likelihood of choosing a green marble. Likely Unlikely Equally likely and unlikely This value is not possible to represent probability of a chance event. 25 points rewarded
Step-by-step explanation:
i don't know sorry i didnt understand
Imagine you write the letters of the word GREAT on individual cards. You shuffle them, turn them facedown on a table, and turn over the top card. What is the probability of turning over an E?
Answer:
that's hard
Step-by-step explanation:
Answer:
The probability of turning over E would be 1/5
Step-by-step explanation:
since there are 5 cards and there is an equal chance you could get any one of them, the probability is one (the amount of cards drawn) over five (the amount of cards total.)
Hope this helps :)
URGENT MUST BE ANSWERED NOW !! PLEASE AND THANK YOU (image included)
Mitch uses 1/4 of his supply of apples to make apple crisp and 3/8 of his supply of apples to make pies. If Mitch uses 10 pounds of apples, how many pounds of apples are in his supply?
Answer:
16 lbs
Step-by-step explanation:
total of apples = 1/4 + 3/8 = 2/8 + 3/8 = 5/8
then 10 x 8/5 = 16
A stone is thrown downward straightly its speed at speed of 20 second what and it reaches the ground at 40 metre second what will be the height of building
Answer:
\(\Huge \boxed{\mathrm{61.22 \ m}}\)
Step-by-step explanation:
A stone is thrown downward straightly with the velocity of 20 m/s and it reaches the ground at the velocity of 40 m/s. What will be the height of building? (Question)
The initial velocity ⇒ 20 m/s
The final velocity ⇒ 40 m/s
We can apply a formula to solve for the height of the building.
\((V_f)2 - (V_i)^2 =2gh\)
\(V_f = \sf final \ velocity \ (m/s)\)
\(V_i = \sf initial \ velocity \ (m /s)\)
\(g = \sf acceleration \ due \ to \ gravity \ (m/s^2 )\)
\(h = \sf height \ (m)\)
Plugging in the values.
Acceleration due to gravity is 9.8 m/s².
\((40)^2 - (20)^2 =2(9.8)h\)
Solve for \(h\).
\(1600 - 400 =19.6h\)
\(1200 =19.6h\)
\(\displaystyle h=\frac{1200}{19.6}\)
\(h= 61.22449\)
The height of the building is 61.22 meters.
the ____ numbering system is base 16; in other words, 16 numerals are used to express any given number
The hexadecimal system numbering system is base 16; in other words, 16 numerals are used to express any given number.
In this system, 16 numerals are used to represent any given number. The numerals used in this system are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F, where A represents 10, B represents 11, and so on, up to F, which represents 15.
This system is commonly used in computer science, as it is more compact than the decimal system, and allows for easier conversion between binary and decimal systems. In the hexadecimal system, each digit represents a power of 16, just as each digit in the decimal system represents a power of 10.
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a man bought an item for 5000.00 and sold it at a loss of 25%. how much did he sell it
Answer:
25% of 5000 is 1250, so the man sold it for 3750
Step-by-step explanation:
Answer:a man bought an item for 5000.00 and sold it at a loss of 25%. how much did he sell it
answer:
3750?
how i did it:
not sure if this is 100% correct but i did 25% of 5000 which would be 1250 and then did 5000-1250 which would be £3750
Step-by-step explanation:
Please mark me as brainliest .Thank you so much
a conservative network publishes a pool showing that 64% of republicans believe that the 2020 election was rigged. you do a study of 100 people and find that 40% believe that the election was rigged. calculate the z-score.
The z-score is -5, which indicates that the sample proportion of 40% is 5 standard deviations below the population proportion of 64%.
To calculate the z-score, we first need to determine the standard deviation of the population. Unfortunately, the question doesn't provide us with that information, so we'll have to make an assumption.
Let's assume that the standard deviation of the population is 0.05 (or 5%). This is a common assumption when the population standard deviation is unknown.
Using this assumption, we can calculate the standard error of the sample proportion (the proportion of people in our sample who believe the election was rigged):
standard error = sqrt((p * (1 - p)) / n)
where p is the proportion from the population (0.64) and n is the sample size (100).
standard error = sqrt((0.64 * (1 - 0.64)) / 100) = 0.0498
Next, we can calculate the z-score:
z = (sample proportion - population proportion) / standard error
z = (0.40 - 0.64) / 0.0498 = -4.82
So the z-score is -4.82. This means that our sample proportion is 4.82 standard errors below the population proportion. In other words, our sample result is highly unlikely to have occurred by chance if the population proportion is really 0.64.
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identify the surface whose equation is given. rho2(sin2(φ) sin2(θ) + cos2(φ)) = 25
We can conclude that the surface is an ellipsoid, as it extends in the radial direction and forms a full loop when varying the angular coordinates.
The equation provided is:
ρ²(sin²(φ)sin²(θ) + cos²(φ)) = 25
Let's analyze the equation step by step:
1. Observe that the equation is given in spherical coordinates (ρ, θ, φ).
2. Notice that the equation can be rearranged as follows:
ρ² = 25 / (sin²(φ)sin²(θ) + cos²(φ))
3. Since the equation is written in terms of ρ², this suggests that the surface is a function of ρ.
4. Now, let's try to identify the surface shape. We can do this by examining the equation's behavior under different values of θ and φ.
- If we fix θ and vary φ between 0 and π, we can see that ρ changes accordingly, so the shape extends in the radial direction.
- If we fix φ and vary θ between 0 and 2π, the shape will extend in the circular direction, forming a full loop.
Given these observations, we can conclude that the surface is an ellipsoid, as it extends in the radial direction and forms a full loop when varying the angular coordinates.
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After spending $5, Isaac had twice as much money as Luke. If Luke had $10, how much money did Isaac have at first?
Answer:
$25
Step-by-step explanation:
10*2=20
20+5=25
Express the following ratio as a fraction in simplest form.
$32 for 10 tickets
Answer:
$16/5tickets
Step-by-step explanation:
it be in simplest form mate.
6. Leah is reading a book that is 646 pages long. She is currently on page
340. If she wishes to finish reading the book in the next 17 days and reads
the same number of pages each day, how many pages per day should she
read in order to meet her goal?
Para la actuacion del dia de la madre , se colocaron en el patio 40 filas de 32 asientos para cada una. Para la siguiente actuacion,quieren acomodarla mismas cantidad de asientospero esta vez en 64 o en 60 filas ¿como seria la distribucion
Answer:
En 64 filas habrá 51 asientos
en 60 filas habrá 48 asientos
Step-by-step explanation:
Spanish
Primero se averigua la relación entre las filas y los asientos.
40: 32
Dividiendo por 8
5: 4
Usando esta relación podemos encontrar el número de asientos en el número dado de filas.
Si el número de filas es 64 entonces
Asientos de filas
64 x
5 4
Uso de la regla de productos cruzados
x = 64 * 4/5 = 51,2
En 64 filas habrá 51 asientos
Si el número de filas es 60 entonces
Asientos de filas
60 x
5 4
Uso de la regla de productos cruzados
x = 60 * 4/5 = 48
en 60 filas habrá 48 asientos
English
First the ratio of the rows to the seats is found out
40 : 32
Dividing by 8
5: 4
Using this ratio we can find the number of seats in the given number of rows.
If the number of rows is 64 then
Rows seats
64 x
5 4
Using cross product rule
x= 64*4/5= 51.2
In 64 rows there will be 51 seats
If the number of rows is 60 then
Rows seats
60 x
5 4
Using cross product rule
x= 60*4/5= 48
in 60 rows there will be 48 seats
The staff of Mr. Wayne Wertz, VP of Operations at Portland Peoples Bank, prepared a frequency histogram of waiting time for walk-in customers. Approximately how many walk-in customers waited at least 6 minutes? (Note the position of the labels on the x-axis — the first column is the number of customers who waited 1 minute and the last column is the number of customers who waited 10 minutes)
The number of people who waited at least 6 minutes is given as follows:
50 people.
What is shown by the histogram?The height of each bin of the histogram represents the number of observations of the data-set in the desired interval.
The desired outcomes for this problem are given as follows:
Between 6 and 7 minutes: 20 people.Between 7 and 8 minutes: 15 people.Between 8 and 9 minutes: 10 people.Between 9 and 10 minutes: 5 people.Hence the number of people who waited at least 6 minutes is given as follows:
20 + 15 + 10 + 5 = 50 people.
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Where in the xy-plane are the points with x > 0 and y? 0?*
A. Quadrant |
B. Quadrant II
C. Quadrant III
D. Quadrant IV
The cone has a height of 195 ft and a diameter of 307 ft. Find the volume of this building
Answer:
4,813,431.07 ft³
\(V = \frac{1}{3} \pi r^2h\\\\V = \frac{1}{3} * 3.14 * \frac{307}{2^2} * 195\)
\(= 4,813,431.07\)
For the following equation, determine the values of the missing entries. Reduce all fractions to lowest terms. y=x^(2)-10x+25 Note: Each column in the
The missing entries are the following y-intercept: (0, 25) and x-intercept: (5, 0). The Axis of symmetry is \(x = 5\) and Vertex: (5, 0).
1. To find the y-intercept, substitute \(x = 0\) into the equation:
\(y = (0)^2 - 10(0) + 25 = 25\).
Therefore, the y-intercept is (0, 25).
2. To find the x-intercepts, set \(y = 0\) and solve for x:
\(0 = x^2 - 10x + 25\).
This equation can be factored as \((x - 5)^2 = 0\).
Taking the square root of both sides gives \(x - 5 = 0\).
Solving for x, we get \(x = 5\).
Therefore, the x-intercept is (5, 0).
3. To find the axis of symmetry, use the formula \(x = -\frac{b}{2a}\) where the equation is in the form \(y = ax^2 + bx + c\).
In this case, \(a = 1\) and \(b = -10\).
Substituting these values into the formula gives \(x = -\frac{-10}{2(1)} = 5\).
Therefore, the axis of symmetry is \(x = 5\).
4. To find the vertex, substitute \(x = 5\) into the equation:
\(y = (5)^2 - 10(5) + 25 = 0\).
Therefore, the vertex is (5, 0).
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There are 9 red markers, 5 blue markers, 14 yellow markers, and 8 green markers in a pencil box. A marker is chosen at random, replaced, then another is chosen. Type in answer as a fraction in simplest form. Use "/" symbol to write fraction, example 1/2.
P(both green) =
There are 8 green markers and 36 markers in total.
The probability of picking a single green marker is 8/36 or 2/9.
Since the marker was replaced, you still have an 2/9 chance of drawing a green marker on the second draw.
P(both green) = 2/9 • 2/9 = 4/81
15.37 - 7.50 - 5.45 - 5.51 + 10
Answer:
6.91
Step-by-step explanation:
Work out the angles marked x in each diagram you must show your working
Answer:
x = 125°Step-by-step explanation:
Since ∆ ABC is a triangle the sum of it's angles add up to 180°
In order to find x we must first find \(\angle\) AED
Let \(\angle\) AED = E
To find \(\angle\) AED add up all the angles in the triangle and equate it to 180°
That's
35 + 90 + E = 180
125 + E = 180
E = 180 - 125
E = 55°
E and x lie on a straight line
So we have
x + 55 = 180°
x = 180 - 55
x = 125°Hope this helps you
.
Marshall gave the cashier $100 to pay for 4 new video games. The cashier gave him $4.08 in change. Each video game cost the same amount.
What is the cost in dollars and cents for each video game?
PLZZZZ HELP
Answer:
I would say it's $23.98
Step-by-step explanation:
If you do 100-4.08, you get 95.92 and since there's 4 video games, divide 95.92 by 4 and you get 23.98
Answer:
$23.98 or 2398 cents
Step-by-step explanation:
If the cashier gave $4.08 back, that means that he spent 100-4.08 on the 4 games.
$100 = 4 games + $4.08
4 games = $95.92
$95.92/4 = $23.98
Hope That Helps.
Help fast I will do anything
Mercy participates in a bowling league on a team with her friends. The cost of
ordering team shirts can be represented by f(x) = 12.75x + 3.50, where the total
cost is a function of x, the number of shirts ordered Mercy's team must have a
minimum of 6 players and a maximum of 10 players. Which is a reasonable
range for the situation?
a. All real numbers
b. 80 SXS 131
C. {80, 92.75, 105.5, 118.25, 131}
d. y > 80
PLS HELP ME MY HWS DUE IN 30 MINS AND PLS SHOW WORK TY
find the value of each variable
Answer:x= 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
I know
4x+23= 27x because we dont know the value of x, and 10x-1 is 9 because once again, you dont know the value of x.
I dont know if/how im supposed to do the middle one (the triangle)
Solve the equation for exact solutions over the interval [0, 2x). 3cotx+4=7 RECOR Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution se
The correct choice is: OA. The solution set is {π/4}. To summarize, the correct choice is: OA. The solution set is {π/4}.
To solve the equation 3cot(x) + 4 = 7 over the interval [0, 2x), we'll first isolate the cotangent term and then find the values of x that satisfy the equation.
Let's start by subtracting 4 from both sides of the equation:
3cot(x) = 7 - 4
3cot(x) = 3
Now, divide both sides of the equation by 3:
cot(x) = 1
The cotangent function is the reciprocal of the tangent function, so cot(x) = 1 is equivalent to tan(x) = 1.
Now, we need to find the values of x in the interval [0, 2x) that satisfy tan(x) = 1.
The tangent function is positive in the first and third quadrants. In the first quadrant, the tangent function is equal to 1 at π/4 radians. In the third quadrant, it is also equal to 1 at 5π/4 radians.
Since we are looking for solutions in the interval [0, 2x), we can consider the solution π/4.
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in hypothesis testing, which hypothesis can be either one-sided or two sided? group of answer choices
Alternative hypothesis may be one-sided or two-sided.
b) alternative hypothesis.
What is meant by an alternative hypothesis?In statistical hypothesis testing, the alternative hypothesis is one of the suggested propositions in the hypothesis test. In general, the purpose of a hypothesis test is to demonstrate that, under the given conditions, there is sufficient evidence to support the believability of an alternate hypothesis rather than the test's exclusive statement (null hypothesis). Because it is based on a review of the literature and previous studies, it is usually congruent with the research hypothesis. However, the research hypothesis is sometimes congruent with the null hypothesis.
In statistics, alternative hypotheses are frequently denoted as Hₐ or H₁. In a statistical hypothesis test, hypotheses are developed to be compared.
In the field of inferential statistics, two competing hypotheses can be compared using explanatory and predictive power.
This is the two tailed test .
alternative hypothesis is ,
Hₐ :μ≠
For the left tail is
Hₐ : μ<
For the right tail is
Hₐ : μ >
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The complete question is :
"In hypothesis testing, which hypothesis can be either one-sided or two sided?
Group of answer choices
a.) null hypothesis
b.) alternative hypothesis"
what is integral of 1/square root of (a^2 - x^2)
For the given problem, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\) is \($\sin^{-1}\frac{x}{a} + C$.\)
What is an 'integral' in mathematics?A mathematical notion that depicts the area under a curve or the accumulation of a quantity over an interval is known as an integral. Integrals are used in calculus to calculate the total amount of a quantity given its rate of change.
The process of locating an integral is known as integration. Finding an antiderivative (also known as an indefinite integral) of a function, which is a function whose derivative is the original function, is what integration is all about. The antiderivative of a function is not unique since it might differ by an integration constant.
For given problem,
\($\int \frac{1}{\sqrt{a^2-x^2}} dx$\)
Let \($x = a \sin\theta$\) , then \($dx = a \cos\theta d\theta$\)
\($= \int \frac{1}{\sqrt{a^2-a^2\sin^2\theta}} a\cos\theta d\theta$\)
\($= \int \frac{1}{\sqrt{a^2\cos^2\theta}} a\cos\theta d\theta$\)
\($= \int d\theta$\)
\($= \theta + C$\)
Substituting back for\($x = a\sin\theta$:\)
\($= \sin^{-1}\frac{x}{a} + C$\)
Therefore, the integral of \(\frac{1}{\sqrt{a^2-x^2}}\) is \($\sin^{-1}\frac{x}{a} + C$.\)
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since 1970,when Martin graduated from high school, he has gained 2 pounds every year. in 2000, he was 40% heavier than in 1970. what percent of his 2015 weight was his 2000 weight?
The percent of his 2015 weight that was his 2000 weight is 14.286%
What is the percent?The first step is determine Martin's weight in 1970.
The equation that would be used to determine this value is:
Weight in 2000 = weight in 1970 + (increase per year x difference in years)
1.40w = w + [2 x (2000 - 1970)]
1.40w = w + (2 x 30)
1.40w - w = 60
0.40w = 60
w = 60 / 0.4
w = 150
Weight in 2015 = 150 x 1.40 = 210
Weight in 2015 = 150 + [2 x (2015 - 1970)]
150 + [2 x 45]
150 + 90
= 240
Percent o0f his 2015 weight that was his 2000 weight = (240 / 210) - 1 = 0.14286 = 14.286%
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3 4/9 - 1 1/6 = ?? Answer needs to be a mixed number
i think the answer is 2 3/3
i dont know plz help