Marisa spent $8 on a movie ticket. Then she spent $5 on
popcorn and one half of what was left on a drink. She
had $2 left.
How much did she have initially?
please show work like this
Answer:
Solve the equation below for unknown x (x is the money she had initially)
x - 8 - 5 - (x-8-5)/2 = 2
Step-by-step explanation:
What is the equation in standard form of
the line that passes through the points
(3, 5) and (-7, 2)?
Answer:
3x-10y=-41
Step-by-step explanation:
"standard form of the line" is ax+by=c, where a, b, and c are free coefficients
first, we need to find the slope (m) of the line
that is calculated with the formula (y2-y1)/(x2-x1)
we have the points (3,5) and (-7,2)
label the points:
x1=3
y1=5
x2=-7
y2=2
substitute into the equation
m=(2-5)/(-7-3)
m=-3/-10
m=3/10
the slope is 3/10
before we put a line into standard form, we need to put it into another form first-- like slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)
we already know the slope
here's our line so far:
y=3/10x+b
we need to find b; since the line will pass through the points (3,5) and (-7,2) we can use either one of them to find b
let's use (3,5) as an example. Substitute into the equation
5=3/10(3)+b
5=9/10+b
41/10=b
b is 41/10
this is the equation:
y=3/10x+41/10
now we can find the equation in standard form. Subtract 3/10x from both sides
-3/10x+y=41/10
a (the number in front of x cannot be negative OR less than one. First, let's multiply both sides by -1)
3/10x-y=-41/10
multiply both sides by 10 to clear the fraction
3x-10y=-41
^^ is the equation
hope this helps!
the howards bought a van for $27,500. today the value decreased 35%. what is the value now
Answer:
17875
Source Calculator
how to find the number of individuals in the sample with the specified characteristic x if n is 1200
The point estimate of the population is 0.415 round to the nearest thousandth as needed the margin error is 0.189.
In statistics, for point estimation, an unknown population parameter (e.g. population mean). More formally, it is applying a point estimator to data to obtain a point estimate.
Point estimation can be contrasted with interval estimation. Such interval estimates are usually confidence intervals for frequentist inference and confidence intervals for Bayesian inference. More generally, point estimators can be contrasted with set estimators. An example is the confidence rate or confidence rate. Point estimators can also be contrasted with distribution estimators. Examples include confidence distributions, randomized estimators, and Bayesian posterior distributions.
Based on the question,
The confidence interval of Lower bound is 0.226.
The confidence interval of Upper bound is 0.604.
X - E = 0.226. --------------------------- (1)
X + E = 0.604 ---------------------------(2)
Adding equation (1) and (2),
2X = 0.83
⇒ X = 0.83/2
⇒ X = 0.415
Putting X = 0.415 in equation (1),
0.415 + E = 0.604
⇒ E = 0.604 - 0.415
⇒ E = 0.189
Thus, the point estimate of the population is 0.415 round to the nearest thousandth as needed the margin error is 0.189.
Learn more about Point Estimate:
https://brainly.com/question/17514579
#SPJ4
A book, a person and a box cost Rs 45 and Rs 54 respectively . Find the smallest sum of money with which the exact number of books , pens and boxes can be purchased.
Answer:
99
Step-by-step explanation:
If you like my answer than please mark me brainliest
Answer: 99
Step-by-step explanation:
please click thanks and mark brainliest if you like :)
What is the area of triangle abc if a = 12, b = 17, and C = 100°?
2. Tamara has to go on a business trip. Including taxes, her round trip airfare is $400 and her room costs $150 per night. The cab fare from the airport to the hotel is $40. If Tamara stays for two nights, how much does the trip cost, not including the cost of food?
Answer:1180,740
Step-by-step explanation:
2 night, so (400x2)+(150x2)+(40x2)=800+300+80=1180 this is cost to go and come back.
400+300+40=740 this is the cost for only going there and not coming back.
Help please i dint get it pls answer
Answer: 7%
(Hope this is right.)
Step-by-step explanation:
Let's solve this using the information we have and an equation.
Shane: $32,000 - (Given)
Theresa: 18,000+14x, if x=1,160 - (Given)
---------------------------------------------------------------
Step two: (Theresa) 14(1,160) =16,240 (Algebra)
Step three: (Theresa) 18,000+16,240=34,240 (Algebra, given.) - cost of Theresa's car.
---------------------------------------------------------------
Finally,
They're asking for how much more she paid for her car as a percentage of what Shane paid.
34,240-32,000=2,240 and
2,240/32,000=0.07
0.07x100=7
Answer 7% more than what Shane paid.
One year, professional sports players salaries averaged $1.6 million with a standard deviation of $0.9 million. Suppose a sample of 100 major league players was taken. Find the approximate probability that the average salary of the 100 players exceeded$1.1 million. Round to four decimal places.
We can use the Central Limit Theorem to solve this problem. According to the theorem, Therefore, the approximate probability that the average salary of the 100 players exceeds $1.1 million is 0.
The problem requires us to find the approximate probability that the average salary of a sample of 100 major league players exceeds $1.1 million given that the average salary of professional sports players is $1.6 million with a standard deviation of $0.9 million.
We can use the Central Limit Theorem to solve this problem. According to the theorem, the distribution of sample means will be approximately normal with a mean of the population mean and a standard deviation of the population standard deviation divided by the square root of the sample size. Thus, we can calculate the z-score of the sample mean and use a standard normal distribution table to find the probability.
The z-score can be calculated as follows:
z = (sample mean - population mean) / (population standard deviation / sqrt(sample size))
z = (1.1 - 1.6) / (0.9 / sqrt(100))
z = -5.56
Using a standard normal distribution table, the probability of a z-score less than -5.56 is essentially 0.
Therefore, the approximate probability that the average salary of the 100 players exceeds $1.1 million is 0.
Learn more about standard normal distribution here:
https://brainly.com/question/15103234
#SPJ11
Which values of x are solutions to the equation below 15x^2 - 56 = 88 - 6x^2?
a. x = -4, x = 4
b. x = -4, x = -8
c. x = 4, x = 8
d. x = -8, x = 8
A quadratic equation is a polynomial equation of degree 2, which means the highest power of the variable is 2. It is generally written in the form: ax^2 + bx + c = 0. Option (d) x = -8, x = 8 is the correct answer.
The given equation is 15x^2 - 56 = 88 - 6x^2.
We need to find the values of x that are solutions to the given equation.
Solution: We are given an equation 15x² - 56 = 88 - 6x².
Rearrange the equation to form a quadratic equation in standard form as follows: 15x² + 6x² = 88 + 56 21x² = 144
x² = 144/21 = 48/7
Therefore x = ±sqrt(48/7) = ±(4/7)*sqrt(21).
The values of x that are solutions to the given equation are x = -4/7 sqrt(21) and x = 4/7 sqrt(21).
To Know more about quadratic equation visit:
https://brainly.com/question/29269455
#SPJ11
The given equation is 15x² - 56 = 88 - 6x². Values of x are solutions to the equation below 15x² - 56 = 88 - 6x² are x = -2.62, 2.62 or x ≈ -2.62, 2.62.
Firstly, let's add 6x² to both sides of the equation as shown below.
15x² - 56 + 6x² = 88
15x² + 6x² - 56 = 88
Simplify as shown below.
21x² = 88 + 56
21x² = 144
Now let's divide both sides by 21 as shown below.
x² = 144/21
x² = 6.86
Now we need to solve for x.
To solve for x we need to take the square root of both sides.
Therefore, x = ±√(6.86).
Therefore, the values of x are solutions to the equation below are x = -2.62, 2.62 or x ≈ -2.62, 2.62.
To know more about solution, visit:
https://brainly.com/question/14603452
#SPJ11
What is the value for the variable?
9⁴ · 9⁻⁶ = 9ᵇ
if a dice is rolled 240 times how many times do you think it will land on each number?
Answer:
being they all have the same amount of chances to be rolled on the same amount i would say 40
Step-by-step explanation:
if bought 15 caterpillars for $3.00, how much was each caterpillar (find the unit rate for price per caterpillar)
Answer:
20 cents
Step-by-step explanation:
Divide 3 dollars by 15 caterpillars.
3/15 = 0.2
20 cents
what is -13.72842 rounded to the nearest tenth
Answer:
-13.7
Step-by-step explanation:
-13.72842
-13.7284
-13.728
-13.73
-13.7
I rounded this way
Answer:
-13.7 is the answer!Find the Surface Of a rectangular prism with base of 4m by 5m and height 8m.
Answer:
184
Step-by-step explanation:
SA = 2LW + 2LH + 2WH
SA = 2(5 × 4) + 2(5 × 8) + 2(4 × 8)
SA = 2(20) + 2(40) + 2(32)
SA = 40 + 80 + 64
SA = 184
-Sienna Sushi <3
YW
Find the unit rate of gallon to mile:
1/4 of a gallon to 3/10 mile
The unit rate of gallon to mile is calculated as: 5/6 gallon per mile.
How to Find the Unit Rate Between Two Variables?The unit rate between two variables is simply the ratio of the quantity of one variable to the quantity of the other variable, such that the the denominator of the will be equal to exactly 1.
We are given the variables gallons and miles, where 1/4 of a gallon is to 3/10 mile.
The unit rate between these two variables would be an amount of gallons per mile.
Thus, find the unit rate by dividing 1/4 by 3/10:
1/4 ÷ 3/10
= 1/4 × 10/3
= 10/12
= 5/6
The unit rate is therefore, 5/6 gallon per mile.
Learn more about unit rate on:
https://brainly.com/question/19493296
#SPJ1
g what power should be transmitted if we want an error probability what value of a should we use?
The error probability is determined by the signal-to-noise ratio (SNR) of the transmitted signal.
The SNR is defined as:
\(SNR = P/N\)
where P is the transmitted power and N is the noise power. To minimize the error probability, the transmitted power should be maximized, so that the SNR is as high as possible. The value of a should therefore be chosen such that the transmitted power is maximized. The transmitted power can be calculated using the following formula:
\(P = a2G\)
Where a is the signal amplitude and G is the gain of the antenna. Therefore, to maximize the transmitted power, the value of a should be chosen such that the product a2G is maximized. This can be done by maximizing either a or G (or both).
Learn more about error probability here :
https://brainly.com/question/28362007
#SPJ4
PLease help meeeeeeeeeee
Answer:
1)
1/2 does not belong to the set
All other numbers belong to the Integers (Z).
2)
√7 does not belong to the set.
All other numbers are rational numbers (Q).
i forgot how to do this. ill give u a brainliest
Answer:
Possible answers could be that you have 400 adults and no children, or you could have 100 children and 340 adults.
What is the yield to maturity (YTM) on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time? The yield to maturity is ?
The yield to maturity on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time is 37.14%.
Yield to maturity (YTM) is the total return anticipated on a bond or other fixed-interest security if the security is held until it matures. Yield to maturity is considered a long-term bond yield, but is expressed as an annual rate. In this problem, the present value (PV) of the simple loan is $1,500, the future value (FV) is $7,500, the time to maturity is five years, and the interest rate is the yield to maturity (YTM).
Now we will calculate the yield to maturity (YTM) using the formula for the future value of a lump sum:
FV = PV(1 + YTM)n,
where,
FV is the future value,
PV is the present value,
YTM is the yield to maturity, and
n is the number of periods.
Plugging in the given values, we get:
$7,500 = $1,500(1 + YTM)5
Simplifying this equation, we get:
5 = (1 + YTM)5/1,500
Multiplying both sides by 1,500 and taking the fifth root, we get:
1 + YTM = (5/1,500)1/5
Adding -1 to both sides, we get:
YTM = (5/1,500)1/5 - 1
Calculating this value, we get:
YTM = 0.3714 or 37.14%
Therefore, the yield to maturity on a simple loan for $1,500 that requires a repayment of $7,500 in five years' time is 37.14%.
To know more about loan refer here:
https://brainly.com/question/31950305
#SPJ11
Point G (-3, 5) and point H (6, -3) are located on a coordinate grid. Which measurement is closest to the distance between point G and point H in units?
The distance between point G (-3, 5) and point H (6, -3) is approximately 12.04 units.
To find the distance between two points on a coordinate grid, we can use the distance formula, which is derived from the Pythagorean theorem. The formula is:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using this formula, we can calculate the distance between points G and H as follows:
Distance = sqrt((6 - (-3))^2 + (-3 - 5)^2)
= sqrt((6 + 3)^2 + (-3 - 5)^2)
= sqrt(9^2 + (-8)^2)
= sqrt(81 + 64)
= sqrt(145)
≈ 12.04 units
The distance between point G (-3, 5) and point H (6, -3) is approximately 12.04 units. This measurement represents the shortest straight-line distance between the two points on the coordinate grid.
To know more about Pythagorean theorem , visit;
https://brainly.com/question/14930619
#SPJ11
Find the area of the sector for the shaded region
JM=10
The area of shaded portion is 42 cm²
Area of shaded region
Side of square ABCD = 14 cm
Radius of circles with centers A, B, C and D = 14/2 = 7 cm
Area of shaded region = Area of square - Area of four sectors subtending right angle
Area of each of the 4 sectors is equal to each other and is a sector of 90° in a circle of 7 cm radius. So, Area of four sectors will be equal to Area of one complete circle
So,
Area of 4 sectors = \(\pi r^2\)
Area of 4 sectors = \(\frac{22}{7}\) × 7 × 7
Area of 4 sectors = \(154 cm^2\)
Area of square ABCD = (Side)²
Area of square ABCD = (14)²
Area of square ABCD = 196 cm²
Area of shaded portion = Area of square ABCD - 4 × Area of each sector
= 196 – 154
= 42 cm²
Therefore, the area of shaded portion is 42 cm²
Learn more about Square at:
https://brainly.com/question/28776767
#SPJ4
The given question is incomplete, The complete question is:
In figure, ABCD is a square of side 14cm. With centres A, B, C and D, four circles are drawn such that each circle touch externally two of the remaining three circles. Find the area of the shaded region.
Data set 1:37, 25, 25, 48, 35, 15, 19, 17, 29, 31, 25, 42, 46, 40 Provide the summary statistics for data set 1. Q1. What is the mean value? Q2. What is the median value? Q3. What is the mode value? Q
Mean value is 27.8; Median value is 27; Mode value is 25; Range value is 33
Given data set 1 is37, 25, 25, 48, 35, 15, 19, 17, 29, 31, 25, 42, 46, 40
To calculate the mean, median, mode, and range for the above dataset, follow these steps:
Step 1: Arrange the given numbers in ascending order:
15, 17, 19, 25, 25, 25, 29, 31, 35, 37, 40, 42, 46, 48
Step 2: Find the mean value:
Mean = (sum of all the numbers) / (total number of numbers)
Mean = (15+17+19+25+25+25+29+31+35+37+40+42+46+48) / 14
Mean = 27.785 rounded off to 27.8
Step 3: Find the median value: The median is the middle number of a data set.
To find the median, first, we need to arrange the data set in ascending order.
If we have an odd number of observations, then the median is the middle number.
If we have an even number of observations, then the median is the average of the two middle numbers.
Here we have an even number of observations, so the median is the average of the two middle numbers.
Median = (25+29) / 2Median
= 27
Step 4: Find the mode value: The mode is the value that occurs most frequently in a data set.
If there is no value that occurs more than once, then there is no mode.
Mode = 25
Step 5: Find the range value: Range = (largest value) - (smallest value)Range
= (48) - (15)Range
= 33
Mean value is 27.8; Median value is 27; Mode value is 25; Range value is 33
Know more about Mean here:
https://brainly.com/question/1136789
#SPJ11
12 ft
65 ft
33 ft
11 ft
20) Choose the correct answer.
Gracie covered her square playroom with 130.4 ft² of flooring. Which measurement is closest
to the side length of the playroom measured in feet?
The area of a square can be calculated by squaring the length of one of its sides. So, we can find the length of the side of the playroom by taking the square root of 130.4:
√130.4 ≈ 11.4
Therefore, the measurement closest to the side length of the playroom in feet is 11 ft. Answer: 11 ft.
If a is a nonnegative real number and n is a positive integer, then a^1/n=n_/¯a
A. True
B. False
Statement "a is a nonnegative real number and n is a positive integer" is true.
What is an Integer?Integers include all whole numbers and negative numbers. This means if we include negative numbers along with whole numbers, we form a set of integers.
Given that, a is a nonnegative real number and n is a positive integer.
\(a^{\frac{1}{n} }=\sqrt[n]{a}\)
Notice that in both cases when we elevated to the n-th power, we got the same thing, then these are equivalent, then:
\((a^{\frac{1}{n} })^n=a\)
Therefore, the given statement is true.
To learn more about an integers visit:
https://brainly.com/question/15276410.
#SPJ1
Complete the equation of the line through (-6,5) and (-3,3). use exact numbers y=
We know the line equation is expressed by
y = mx + b, where is m is its slope (how inclinated it is) and b is intercept with the y-axis.
Finding m
We find its inclination, its slope, m, by
\(\begin{gathered} m=\frac{\Delta y}{\Delta x} \\ =\frac{y_2-y_1}{x_2-x_1} \\ \end{gathered}\)Let's say
(x₁, y₁) = (-6, 5)
(x₂, y₂) = (-3, 3)
Then
\(\begin{gathered} m=\frac{3-5}{-3-(-6)} \\ =\frac{-2}{-3+6}=\frac{-2}{3} \\ m=-\frac{2}{3} \end{gathered}\)Then y = -(2/3)x + b,
Finding b
Since b is intercept with the y-axis, we know it intercepts y when x = 0
Using the equation we have found y = -(2/3)x + b, and replacing one point given by the question (x₂, y₂) = (-3, 3)
y = -(2/3)x + b
3 = -(2/3)(-3) + b
3 = -2 + b
3 + 2 = b
Then, b = 5
Therefore,
Answer, y = -(2/3)x + 5,
if the marks of students in a class are [110,70,30,80,90,64] then what is the median of these marks?
Answer:
The Median is 75
Step-by-step explanation:
Medianmedian is the middle number in a set of given numbers
arranging in order will be
30,64,70,80,90,110
the middle numbers are 70 and 80
Median=80+70/2
=150/2
Median=75
Find the area of the following shape. You must show all work to receive credit.
Please, and thank you! I have trouble finding the apothem here
Answer:
Answer is 10
Step-by-step explanation:
little tringle area is 2×2/2=2
big tringle area is 4x4/2=8
the sum of the two will give the area of this shape its 10
Which search method employs the use of markers such as knots at regular intervals along the search line to indicate distance from the beginning of the search line
The wide-area search method employs the use of markers such as knots at regular intervals along the search line.
Given the method employs the use of markers such as knots at regular intervals along the search line to indicate distance from the beginning of the search line.
In order to locate, relieve distress, and preserve the life of a person who has been reported missing or is believed to be lost, stranded, or is considered a high-risk missing person, wide area search and rescue refers to activities occurring within large geographic areas. It also refers to the removal of any survivors to a safe location.
Hence, the wide-area search method employs the use of markers such as knots at regular intervals along the search line to indicate distance from the beginning of the search line
Learn more about wide area from here brainly.com/question/15506214
#SPJ4
Who walks at a faster rate: Johnathan, who walks 60 feet in 10 seconds or Juan, who walks 42 in 6 seconds?
Answer:
Johnathan walks faster
Step-by-step explanation:
just divide