Answer:
The concession stand sold 46 hot dogs and 32 hamburgers.
Step-by-step explanation:
Julio solicitó un préstamo en el banco para invertir en su casa, pagó una cuota de $32,950 y otra de $25,825. Si el préstamo fue de $100.000. Cuánto dinero le debe al banco??
Answer:
Julio debe $ 41225 al banco por concepto del préstamo para invertir en su casa.
Step-by-step explanation:
Dada la falta de información, asumimos que el préstamo fue realizado sin tasa de interés, de modo que la deuda solo sea el monto inicial menos las cuotas pagadas por quien recibe el préstamo, la cantidad de dinero que adeuda al banco es:
\(x = \$\,100000 - \$\,32950 - \$\,25825\)
\(x = \$ \,41225\)
Julio debe $ 41225 al banco por concepto del préstamo para invertir en su casa.
solve sec^2(x) < tan^2(x)+sec(x) over 0 to 2pi
Answer:
D
Step-by-step explanation:
On edge
Answer:
D on edge
Step-by-step explanation:
9.702 – p for p = 0.381=
Answer:
9.321
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
9.702 - p
p = 0.381
Step 2: Evaluate
Substitute in p: 9.702 - 0.381Subtract: 9.321A radio transmission tower is 160 feet tall. How long should a guy wire be if it is to be attached 13 feet from the top and is to make an angle of 29\deg with the ground? Give your answer to the nearest tenth of a foot.
x = 147 / 0.5446 ≈ 270.2 ft
To find the length of the guy wire for a radio transmission tower, trigonometry concepts are applied. Given a tower height of 160 feet, with the wire attached 13 feet from the top and making an angle of 29° with the ground, we can solve for the length of the guy wire, represented by x.
Using the Pythagorean theorem and considering the right triangle formed by the tower height, the wire attachment point, and the ground, we can set up the equation:
x = √((160 - 13)² + x²)
Next, we apply the tangent function to the given angle:
tan(29°) = (160 - 13) / x
Simplifying, we have:
0.5446 = 147 / x
To solve for x, we rearrange the equation:
x = 147 / 0.5446 ≈ 270.2 ft
Rounding to the nearest tenth of a foot, the length of the guy wire required is approximately 270.2 feet. This wire is attached 13 feet from the top of the tower and makes a 29° angle with the ground.
Trigonometry plays a crucial role in solving real-world problems involving angles and distances. It provides a mathematical framework for calculating unknown values based on known information, enabling accurate measurements and constructions.
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Solve the two-step equation and identify the steps.
1.4x + 6.1 = –7.9
1. The first step is to
on both sides.
2. The second step is to
on both sides.
The solution is x =
.
Answer:
x = -10
Step-by-step explanation:
1.4x = -7.9 -6.1
1.4x = -14
x = -14÷1.4
x= -10
Answer:
x = -10
Step-by-step explanation:
Question A cylindrical swimming pool has a diameter of 18 feet and a height of 5.5 feet. How many gallons of water can the pool contain? Round your answer to the nearest whole number. (1 ft3 ≈ 7.5 gal)
The pool can contain 10492 gallons of water
What is volume of cylinder?
The capacity of a cylinder, which determines how much material it can carry, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, may be immersed in it uniformly. A cylinder is a three-dimensional structure having two parallel, identical bases that are congruent.
Right circular cylinder: A cylinder with circular bases and a lateral curved surface with each line segment perpendicular to the bases.
Oblique Cylinder: A cylinder with sides that are inclined over the base at a different angle than a right angle.
An elliptic cylinder is a cylinder with ellipses at its bases.
Two right circular cylinders tied together inside of one another form a right circular hollow cylinder.
volume of cylinder= (π)\(r^2h\)
diameter= 18feet
radius = 9 feet
height = 5.5 feet
volume= 3.14*(\(9^2\))*5.5
= 1398.87 \(feet^3\)
volume in gallons = 1398.87 * 7.5
= 10492 gallons
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Bridgeport University claims to accept 58% of applicants. In a random sample of 1,000 Bridgeport University applicants, 550 were accepted. Calculate the 95% confidence interval and evaluate whether Bridgeport's claim seems accurate.
A. The interval is from 51.9% to 58.1%. Since the value of 58% lies in the interval, Bridgeport's claimed acceptance rate seems accurate.
B. The interval is from 52.4% to 57.6%. Since the value of 58% does not lie in the interval, Bridgeport's claimed acceptance rate does not seem accurate.
C. The interval is from 51.9% to 58.1%. Since 55% of the sample was accepted, Bridgeport's claimed acceptance rate seems accurate.
D. The interval is from 52.4% to 57.6%. Since only 55% of the sample was accepted, Bridgeport's claimed acceptance rate does not seem accurate.
The correct statement regarding the confidence interval is given as follows:
A. The interval is from 51.9% to 58.1%. Since the value of 58% lies in the interval, Bridgeport's claimed acceptance rate seems accurate.
What is a z-distribution confidence interval?The bounds of the confidence interval are given as follows:
\(\overline{x} \pm z\frac{\sigma}{\sqrt{n}}\)
In which:
\(\overline{x}\) is the sample mean.z is the critical value.n is the sample size.\(\sigma\) is the standard deviation for the population.The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.
The parameters for this problem are given as follows:
\(n = 1000, \pi = \frac{550}{1000} = 0.55\)
The lower bound of the interval is given as follows:
0.55 - 1.96 x sqrt(0.55 x 0.45/1000) = 0.519.
The upper bound of the interval is of:
0.55 + 1.96 x sqrt(0.55 x 0.45/1000) = 0.581.
Hence the claim is accurate, as 58% is part of the interval.
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Solve for x in the equation x2-10x+25= 35-
X=5+2√ √5
O x=5± √√35
x=10+2√√/5
x = 10+ √√√35
0 0 0 0
The solution of the quadratic equation is x=5±√35 .
A quadratic equation is given by the equation which can be written in the form ax²+bx +c.
There are two solution of x for a quadratic equation. the graph of a quadratic equation is in the shape of a parabola in the cartesian plane.To solve a quadratic equation various methods are used:Completing of squaresMiddle term factorizationusing the quadratic formulathe given quadratic equation is :
x²-10x+25=35
Simplifying the equation we get:
or, x²-10x+25-35=0
or, x²-10x-10=0
Now we will solve the equation by completion squares method:
x²-10x-10=0
or, x²-2×x×5+5²-5²-10=0
or, (x-5)²=35
or, x-5=±√35
or, x= 5±√35
Therefore the solution of the quadratic equation is 5+√35 and 5-√35 .
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what is the answer to
10 + (-4)
Answer:
6
Step-by-step explanation:
Note the rules for signs directly next to each other:
If there is two positive signs, the result will be positive.
If there is one positive and one negative sign, the result will be negative.
If there is two negative signs, the result will be positive.
In this case, there is a positive and a negative sign. You are, therefore, subtracting 10 with 4:
10 + (-4) = 10 - 4 = 6
6 is your answer.
~
i need a answer please. ma=n-p, for a
\(ma=n-p\), original equation
\(\frac{ma}{m} =\frac{n-p}{m}\), divide m on both sides, m's on the left side will cancel out.
\(a=\frac{n-p}{m}\), final answer
If you need any further help, please ask me :)
How do you find the volume of the dog crate below?
Answer:the answer would be 25,920" cubed
Step-by-step explanation:
you would do 30*24*36 which equals 25,920 inches cubed
there are n counters in a bag. 4 of the counters are red and the rest are blue. Ross takes a counter from the bag at random and does not replace it. he then takes another counter at random from the bag. the probability Ross takes two blue counters is 1/3. find the value of n
Answer: n = 10.
Step-by-step explanation:
In the bag, we have n counters.
4 of the counters are red.
the rest are blue, then we have:
(n - 4) blue counters.
Now, the probability that Ross takes a blue counter from the bag is equal to the quotient between the number of blue counters (n - 4) and the total number of counters, n
Then the probability is:
p1 = (n - 4)/n
Now he draws another, and it must be blue again, then we can calculate the probability in the same way as above, but he already take a blue counter, so the number of blue counters is (n - 5) and the total number of counters is (n - 1)
The probability of this event is:
p2 = (n - 5)/(n - 1)
The joint probability (the probability that Ross takes two blue counters) is equal to the product of the individual probabilities, and we know that this is equal to 1/3, then we have the equation:
1/3 = ( (n - 4)/n)*((n - 5)/(n - 1))
Now let's solve this for n.
n*(n - 1)/3 = (n - 4)*(n - 5)
(n^2 - n)/3 = n^2 - 4*n - 5*n + 20
n^2 - n = 3*(n^2 - 9*n + 20)
n^2 - n = 3*n^2 - 27*n + 60
0 = (3*n^2 - n^2) - 27*n + n + 60
0 = 2*n^2 - 26*n + 60
The two solutions of this equation can be found with Bhaskara's equation:
\(n = \frac{-(-26) +- \sqrt{(-26)^2 - 4*2*60} }{2*2} = \frac{26+- 14}{4}\)
Then the two solutions are:
n = (26 - 14)/4 = 3
This is not an option, because we know for sure that we have 4 red counters, then this option can be discarded.
The other solution is:
n = (26 + 14)/4 = 40/4 = 10
Then we have n = 10, 10 counters in total.
I really need help on this question please it’s solve for x.round to the nearest hundredth if necessary.
Answer:
39.19
Step-by-step explanation:
sin(29°)=(19/x)
x= 19/sin(29°)
/= over
i used sin because it show opposite and hypoteneuse. which formula is SOH=sin opposite/ hypoteneuse
I need the answer of this exercise: 20 - 10 : 2 × 4 + 3
Answer:
10:11
Step-by-step explanation:
20-10:2×4+3
10. 8+3
10. 11
10:11
Peter also earns a certain amount per hour. The table shows the amount of money, in dollars, he earns in a given number of hours. Write the linear equation for this situation, where y represents the money earned, in dollars, and x represents the number of hours worked.
Time (hours) Money Earned (dollars)
4 44
8 88
12 132
PLEASE HELP MEEEEEEEEEEEEEEEEEEEE
Answer
bruh where's the explanation
Step-by-step explanation:
What number would you multiply the second equation by in order to eliminate the x term when adding to the first equation?.
In order for the variables in the first equation to cancel out, we must multiply a number in the second equation to make it equal to those variables. For instance, we must multiply the second equation by two in order to make it equal four in order to cancel out x.
To make the variables in the first equation cancel each other out, we must multiply a number in the second equation to make it equal to those variables. For instance, we must multiply the second equation by two in order to make it equal four in order to cancel out x. We must now multiply the second equation by 3 in order to equal 9y in order to eliminate y.To learn more about equations here
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what is the answer for
Question
A circular lawn has a row of bricks around the edge.
The diameter of the lawn is about 20 feet.
What is the best estimate for the total length of the bricks?
31.4 feet
62.8 feet
314 feet
1256 feet
Answer:
62.8 feet is the answer .
s there a bst t and a query value x such that the search for x in t visits the following sequence of key values in the given order? 11, 41, 71, 101, 141 you need to enter either yes or no on the answer sheet. (b) is there a bst t and a query value x such that the search for x in t visits the following sequence of key values in the given order? 101, 141, 41, 11 you need to enter either yes or no on the answer sheet. (c) is there a bst t and a query value x such that the search for x in t visits the following sequence of key values in the given order? 1
a. Yes, there is a BST B and a query value X such that the search for X in B visits the following sequence of key values in the given order.
b. No, there is no BST B and a query value X such that the search for X in B visits the following sequence of key values in the given order.
c. Yes, there is a BST t and a query value x such that the search for x in t visits the following sequence of key values in the given order.
What is Binary Search Tree?A binary search tree (BST) is a data structure used to store a set of elements in a way that allows efficient search, insertion, and deletion operations.
It is a binary tree in which each node has at most two children, called left and right children.
Here the values are 11, 41, 71, 101, 141 The given questions can be answered as follows
(a) Yes, it is possible to construct a BST where the search for x visits the sequence of key values 11, 41, 71, 101, 141.
(b) No, it is not possible to construct a BST where the search for x visits the sequence of key values 101, 141, 41, 11.
This is because in BST, the values to the left of a node are always smaller than the node's values, and the values to the right are always larger.
Therefore, if the search reaches a node with a value greater than the value of the query, it will never be reached
revisit nodes with smaller values.
(c) Yes, it is possible to construct a BST where the search for x visits the key value 1 sequence. The tree would consist of a single node with a key value of 1.
Therefore
a. Yes, there is a BST B and a query value X, so a search for X from B visits the next sequence of key values in the given order.
b. No, there is no BST B and a query value of X, so a lookup of X from B visits the next sequence of key values in the given order. c. Yes, there is a BST t and a query value x, so a search for x from t visits the next sequence of key values in the given order.
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What is the value of z?
answer is z=17
hope that helped loll
Answer:
17
Step-by-step explanation:
30+31=61
180-61=119
119/7=17
can any of you help me with this? Like fast?
Branson Creek Middle School has decided to make fitness a key message to their students in the upcoming school year. As a result, they will be participating in a national fitness program. To participate, they must randomly select 15 students in the 5th grade and record their exercise time each day. The data (in minutes) are shown.
85, 80, 76, 78, 82, 88, 80, 80, 110, 85, 85, 82, 83, 88, 76
Describe the distribution of the data.
Determine the median and mean of the data.
Which measure better represents a typical value in the data set? Explain.
Answer:
data from minimum to maximum :
76 76 78 80 80 80 82 82 83 85 85 85 88 88 110
n= 15 , so the median is X8 = 82 minutes
mean =
(76+76+78+80+80+ 80 +82+ 82+ 83+ 85+ 85+ 85 +88 +88+ 110) / 15 = (1,258)/15 = 83.87 minutes
in order to get higher standard its better use mean as a typical value.
the variability believed to be in the population, the acceptable margin of sample error, and the level of confidence required in your estimates of the population values describe the basic elements required to calculate the proper sample size for a survey. true false
The statement mentioned in the question is True.
The sample size of a survey is determined by the variability believed to be in the population, the acceptable margin of sample error, and the level of confidence required in estimates of the population values. These elements are important considerations when designing a survey because they help to ensure that the results of the survey are reliable and accurately reflect the characteristics of the population being studied.
To calculate the proper sample size for a survey, you need to first determine the size of the population being studied and the level of precision you want to achieve in your estimates. You also need to consider the level of confidence you want to have in your estimates and the acceptable margin of error for your survey. Once you have all of this information, you can use a sample size calculator or a statistical formula to determine the appropriate sample size for your survey.
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Which expression represents the amount of money John has collected?
John collects $5 for club dues from each member. Use the variable
m
for the number of members in the club.
Answer: The expression that represents the amount of money John has collected is:
5 * m
This expression calculates the amount of money John collects by multiplying the number of members (m) by the amount of money collected per member ($5).
Step-by-step explanation:
The information is in the picture PLEASE HELP ME
Answer:
The answer is B. If you do FOIL to the equations you would get the answer.
The total length of two ribbons is 13 meters. If one of the ribbons is 7 5/8 meters long, how long is the other one
Find the dimensions of a rectangle whose width is 6 miles less than its length, and whose area is 72 square miles.
Answer:
Dimensions are 12 , 6
Step-by-step explanation:
Forming algebraic equations and solving:Let the length be 'x' miles.
width = (x - 6) miles
Area of a rectangle = length * width
x *(x -6) = 72 square miles
x*x - x *6 = 72
x² - 6x -72 = 0
Sum = -6
Product = -72
Factors = -12 , 6 { -12 * 6 = -72 & -12 + 6 = -6}
x² - 12x + 6x - 72 = 0 {Rewrite the middle term using the factors}
x(x - 12) +6(x - 12)=0
(x -12)(x + 6) =0
x - 12 = 0 ;
x = 12
{x + 6= 0 is ignored, as dimensions will not have negative value}
length = 12 miles
widht = 12 - 6 = 6 miles
What is the mean absolute deviation of Evelyn's
scores?
5
125
137
138
145
145
O 5.1
O 5.6
O 5.8
13
1
0
7
7
07
Answer:
Step-by-step explanation:
5.6
Answer:
5.6 on edge
Step-by-step explanation:
ur welcome :)
How do you select sample size using simple random sampling?
Using the method of simple random sampling, The answer is we select sample before collecting data.
What do you mean by random sampling?Random sampling is a method of selecting a sample from a population in such a way that each member of the population has an equal probability of being selected. This ensures that the sample is representative of the population, and reduces bias in the sampling process. In simple random sampling, a random sample is drawn from a larger population by using random number generators, tables of random numbers, or other methods that ensure that each member of the population has an equal chance of being selected.
What are samples?A sample is a portion or a subset of a population that is selected for the purpose of studying characteristics of the population. The sample is used to make inferences or conclusions about the population from which it was drawn. The sample is usually smaller in size than the population, and it is selected through a process called sampling. The process of sampling is used to select a sample that is representative of the population, meaning that the sample has similar characteristics as the population.
In simple random sampling, the sample size is determined before collecting data. There are several ways to determine the sample size, but one common method is to use a sample size calculation formula, such as: n = (z^2 * p * (1-p)) / e^2
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Oscar bought 15 gallons of water at $1.98 per gallon. He wants to divide this water in bottles of 1/8 gallon each. What is the cost of a bottle of water?
Answer:
Step-by-step explanation:
For the given right triangle, find the value x to the nearest tenth:
Hello!
For this type of problem, we are given a right triangle, and my go-to for finding a side length with another given side length and an angle value would most likely be the law of sines.
The law of sines states that:
\(\frac{a}{sin(A)}=\frac{b}{sin(B)}\)
In the given triangle, the \(a\) would be 45, and the opposite angle \(71\), would be the \(A\).
The same can be applied to the other side of the proportion.
\(x=b\)
The opposite angle of side \(x\) can be found using the definition of the combined angle of a triangle.
\(90+71+B=180\)
\(B=19\)
So now we can set up our proportion.
\(\frac{45}{sin(71)}=\frac{x}{sin(19)}\)
\(x=sin(19)*\frac{45}{sin(71)}\)
And we get that \(x\) is around 15.5.
Hope this helps!